We have reached an equation that is not true: 290 = 360. This means that our assumptions were incorrect and there is no solution to this system of equations that satisfies all the constraints
How to measure an angle?
a) To find the measure of angles B, C, and D, we can start by drawing a diagram of the bridge and labeling the angles:
A
/ \
/ \
/ \
/ \
/ \
/ \
B C
\ /
\ /
\ /
\ /
\ /
\ /
D
Since the bridge is perpendicular to the two towers, we know that angles B and C are both 90 degrees. Therefore, we can use the fact that the angles in a triangle add up to 180
degrees to find the measure of angle D:
angle D = 180 - angle A - angle B - angle C
= 180 - 35 - 90 - 90
= 180 - 215
= -35
This is an invalid result, since angles cannot be negative. We made a mistake in assuming that angles B and C are both 90 degrees. In fact, they are not necessarily equal to each other, since the bridge may not be perfectly symmetrical. Let's call the measure of angle B x and the measure of angle C y. Then we can use the fact that the angles in a triangle add up to 180 degrees
to get an equation
:
angle A + angle B + angle C + angle D = 180
35 + x + y + angle D = 180
We also know that the sum of the angles around each tower is 360 degrees. Let's call the measure of angle E on one side of the bridge, and the measure of angle F on the other side. Then we can set up two more equations:
angle B + angle D + angle E = 360
x + angle D + angle F = 360
We have three equations and three unknowns (x, y, and angle D), so we can solve for them using
algebra
. First, we can rearrange the first equation to solve for angle D:
angle D = 180 - 35 - x - y
Then we can substitute this expression for angle D into the other two equations:
x + (180 - 35 - x - y) + angle F = 360
(180 - 35 - x - y) + angle E + 90 = 360
Simplifying these equations, we get:
145 - y + angle F = 360 - angle E
145 - x - y + angle E = 270
Now we have two equations and two unknowns (x and y), which we can
solve using
algebra. Let's rearrange the first equation to solve for angle F:
angle F = 360 - 145 + y - x
Substituting this expression for angle F into the second equation, we get:
145 - x - y + (180 - 35 - x - y) + 360 - 145 + y - x = 270
140 - 2x = 0
x = 70
Now we can substitute this value for x into the other equations to get:
angle D = 180 - 35 - x - y
= 180 - 35 - 70 - y
= 75 - y
angle F = 360 - 145 + y - x
= 215 + y - 70
= 145 + y
145 - y + angle F = 360 - angle E
145 - y + (145 + y) = 360 - angle E
290 = 360
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Use the following compound interest formula to complete the problem. a = p (1 startfraction r over n endfraction) superscript n superscript t victor has a credit card with an apr of 13.66%, compounded monthly. he currently owes a balance of $1,349.34. assuming that victor makes no purchases or payments, how much will he owe after one year, to the nearest cent? a. $1,349.34 b. $1,533.66 c. $1,545.65 d. $1,364.70
The final amount that Victor will owe after one year, to the nearest cent is given by: Option C: $545.65
How to find the compound interest?If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:
\(a = p(1 + \dfrac{r}{n})^{nt}\)
For this case, we're provided that:
The interest rate is r = 13.66% = 13.66/100 = 0.1366 (converted percent to decimal)
It is compounding monthly, thus, 12 times a year, or n = 12
The initial amount that the credit card of Victor has = p = $1349.34
Time for which interest was compounded = a year = 1 = t
Thus, the final amount that Victor will owe after one year to the nearest cent is calculated as;
\(a = p(1 + \dfrac{r}{n})^{nt}\\\\a = 1349.34(1 + \dfrac{0.1366}{12})^{12\times 1}\\\\a = 1349.34(1.01138)^{12} \approx 1245.65 \: \rm (in \: dollars)\)
Thus, the final amount that Victor will owe after one year, to the nearest cent is given by: Option C: $545.65
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Answer:
C
Step-by-step explanation:
I took the test and passed with 100
Jerry's mother is 33 years old and she is eleven less than four times Jerry's age. How old is Jerry?
Answer:
11 years old
Step-by-step explanation:
33+11=44 (four times of Jerry's age)
44÷4=11 (Jerry's age)
Hope this helps! Thanks.
Properly rounding 190.4592785 to the nearest tenth gives
The proper rounding of 190.4592785 to the nearest tenth gives 190.4.
What is round to the tenth?Look at the next place value to the right to round a number to the closest tenth (the hundredths). Simply eliminate all the numbers to the right if the number is 4 or fewer.
Add one to the digit in the tenth place if the number is five or above, and then eliminate all the digits to the right.
To round digits to the tenth means after the decimal there is only one number. It is tenth place.
190.4592785 = 190.4
Therefore, the nearest round to the tenth is 190.4.
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Simplify the equation and show work!!!!
A. 6 to the power of nine twentieths
B. 6 to the power of one-twentieth
C. 6 to the power of five fourths
Step-by-step explanation:
This is the correct answer.
Even according to calculator and working.
So not quite sure why those options are incorrect?
When coding the phrase "supravesical fissure of urinary bladder," the main term to reference in the index is ________ .a. urinaryb. bladderc. fissured. supravesical
The correct option of the given question is option (c) fissure.
When coding the phrase "supravesical fissure of urinary bladder," the main term to reference in the index is c. fissure.
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The main term to reference in the index when coding the phrase "supravesical fissure of urinary bladder" is c. fissure.
In medical coding, the index is typically organized alphabetically based on the main terms or significant words within medical terminology. In this case, "fissure" is the main term that represents the specific condition or anatomical feature being coded.
The other terms, such as "urinary," "bladder," and "supravesical," provide additional context but are not the primary focus when searching for the appropriate code in the index.
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Is √3,600 rational? Or a perfect square
Answer:
Yes to both
Step-by-step explanation:
how do you graph y= 6/5x + 1?
Answer:
Start at postive 1 on the y axis put a dot there. From the dot go down 6 and go left 5.
Step-by-step explanation:
6/5=rise over run
1=y-axis
y=mx+b
m=slope
b=y-intersept
Step-by-step explanation:
Hey, there!!
To graph a equation, we must find the coordinates of x and y.
So, as the equation is,
\(y = \frac{6}{5} x + 1\)
Here, the equation is for finding the coordinates of y and x should be supposed. Remember, always suppose the value in equal interval.
Now,
x = 0 1 2 3
y= 1 2.2 3.4 4.6
Here, if you are confused how do i get 1, 2.2,3.4,4.6 as y value, put the value of x such as,
\(y = \frac{6}{5} \times 0 + 1\)
which is equal to 1.
so,in this we got values.
Now,
List coordinates,
(0,1),(1,2.2),(2,3.4),(3,4.6)
Then plot on graph!!!
Hope it helps.....
What is the slope of the line that contains the points in the table?
X
-4
1
5
8
y
-9.6
-7.6
-6
-4.8
Answer:
0.4
Step-by-step explanation:
\(\frac{-6-(-4.8)}{5-8}=\frac{-1.2}{-3}=0.4\)
Given the image Q’(33, 36) and preimage Q(11, 12), by what scale factor was the point dilated?
22
3
24
1/3
Answer:
22
Step-by-step explanation:
figure A is a scale copy of figure B
The value of x is 42.
To determine the value of x, we need to analyze the given information regarding the scale factor between Figure A and Figure B.
The scale factor is expressed as the ratio of the corresponding side lengths or dimensions of the two figures.
Let's assume that the length of a side in Figure B is represented by 'x'. According to the given information, Figure A is a scale copy of Figure B with a scale factor of 2/7. This means that the corresponding side length in Figure A is 2/7 times the length of the corresponding side in Figure B.
Applying this scale factor to the length of side x in Figure B, we can express the length of the corresponding side in Figure A as (2/7)x.
Given that the length of side x in Figure B is 12, we can substitute it into the equation:
(2/7)x = 12
To solve for x, we can multiply both sides of the equation by 7/2:
x = (12 * 7) / 2
Simplifying the expression:
x = 84 / 2
x = 42
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architects often create scale models before the actual building is constructed. if a scale model has a length of 24 inches and a width of 36 in., which dimensions are geometrically similar to the model buildings?
Architects often create scale models before the actual building is constructed. if a scale model has a length of 24 inches and a width of 36 in., 2:3 the dimensions are geometrically similar to the model buildings
Geometrically similar to the model buildings are those whose ratio of corresponding dimensions are the same as those of the model.
The ratio of the dimensions of the scale model is:
length:width = 24:36 = 2:3
There are two ratios to compare in a building with dimensions L and W:
length : width = L:W and
width : length = W:L
The ratio of the dimensions of a building must be in proportion to the ratio of the dimensions of the scale model for geometric similarity.
Since the dimensions of the model are 2:3, the dimensions of the building must also be in a 2:3 ratio.
Therefore, we have: L : W = 2:3
L = (2/3)W
The ratio of the length to the width of the building is 2:3.
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Click on the number line below to show the approximate location of 19 on the number line.
Answer:
Between 4 and 5
Step-by-step explanation:
The closest square numbers are 16 and 25, so it’s in between 4 and 5
ANSWER QUICKlY ASAP!!!!
Answer:
\( \sqrt{9 } = 3 \)
the cookies in a jar contain a total of 1000 chocolate chips. all but one of these cookies contains the same number of chips; it contains one more chip than the others. the number of cookies in the jar is between one dozen and three dozen. what is the sum of the number of cookies in the jar and the number of chips in the cookie with the extra chocolate chip?
The total number of chocolate chips in the cookies is 1000. All the cookies, except one, have the same number of chips, while the remaining cookie has one more chip than the others. The number of cookies in the jar is between one dozen (12 cookies) and three dozen (36 cookies).
To find the sum of the number of cookies in the jar and the number of chips in the cookie with the extra chocolate chip, we can follow these steps:
1. Let's assume the number of cookies in the jar is "x". Since the number of cookies is between one dozen and three dozen, we have the inequality: 12 ≤ x ≤ 36.
2. Since all the cookies, except one, have the same number of chips, we can divide the total number of chocolate chips by the number of cookies minus one. This gives us the number of chips in each cookie (excluding the one with the extra chip). So, the number of chips in each cookie is 1000 ÷ (x - 1).
3. The cookie with the extra chip has one more chip than the others. Therefore, the number of chips in the cookie with the extra chip is 1000 ÷ (x - 1) + 1.
4. To find the sum of the number of cookies in the jar and the number of chips in the cookie with the extra chocolate chip, we add the number of cookies (x) and the number of chips in the extra chip cookie (1000 ÷ (x - 1) + 1).
Remember that the number of cookies in the jar is between one dozen and three dozen, so the sum will vary depending on the number of cookies. You can substitute different values within the given range (12 ≤ x ≤ 36) to find different possible sums.
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Determine whether the following statements are true and g
counterexample
b) If a is a real number and Sigma k = 12 ^ infty a^ k converges, then Sigma k = 1 ^ infty a^ k converges.
c) If the series Sigma k = 1 ^ infty a^ k converges and lal
b) False. If Σ(k = 12 to ∞) a^k converges, it does not guarantee that Σ(k = 1 to ∞) a^k converges. c) True. If Σ(k = 1 to ∞) a^k converges and |a| < |b|, then Σ(k = 1 to ∞) b^k also converges.
b) The statement is true. If the series Σ(k = 12 to ∞) a^k converges, then the series Σ(k = 1 to ∞) a^k also converges.
To prove this, we can use the fact that if a series converges, then the sum of its tail converges to zero. Let's assume that Σ(k = 12 to ∞) a^k converges. This means that the sum of the terms beyond the 12th term converges, i.e., lim(n→∞) Σ(k = n+1 to ∞) a^k = 0.
Now, consider the series Σ(k = 1 to ∞) a^k. We can split it into two parts: the sum of the first 11 terms (Σ(k = 1 to 11) a^k) and the sum of the remaining terms (Σ(k = 12 to ∞) a^k). We can rewrite the series as follows:
Σ(k = 1 to ∞) a^k = Σ(k = 1 to 11) a^k + Σ(k = 12 to ∞) a^k
Since the sum of the tail Σ(k = 12 to ∞) a^k converges to zero, we can rewrite the above equation as:
Σ(k = 1 to ∞) a^k = Σ(k = 1 to 11) a^k + lim(n→∞) Σ(k = n+1 to ∞) a^k
Now, as n approaches infinity, the term lim(n→∞) Σ(k = n+1 to ∞) a^k becomes zero by our assumption that Σ(k = 12 to ∞) a^k converges. Therefore, we have:
Σ(k = 1 to ∞) a^k = Σ(k = 1 to 11) a^k + 0 = Σ(k = 1 to 11) a^k
Since the sum of the first 11 terms is a finite value, the series Σ(k = 1 to ∞) a^k converges.
c) The statement is true. If the series Σ(k = 1 to ∞) a^k converges and |a| < |b|, then the series Σ(k = 1 to ∞) b^k also converges.
To prove this, we can use the comparison test. Since |a| < |b|, we know that |a^k| < |b^k| for all k.
If the series Σ(k = 1 to ∞) a^k converges, then by the comparison test, the series Σ(k = 1 to ∞) |a^k| also converges.
Since |a^k| < |b^k|, we have:
Σ(k = 1 to ∞) |a^k| < Σ(k = 1 to ∞) |b^k|
Since the series Σ(k = 1 to ∞) |a^k| converges, and the series Σ(k = 1 to ∞) |b^k| is greater than it, the series Σ(k = 1 to ∞) |b^k| also converges.
Therefore, the series Σ(k = 1 to ∞) b^k converges.
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important of coefficient of standard deviation
\(Question\)
important of coefficient of standard deviation
Answer:
The coefficient of variation represents the ratio of the standard deviation to the mean, and it is a useful statistic for comparing the degree of variation from one data series to another,
Hope this helps!!!
\(xXxAnimexXx\)
can someone please help
Answer:
For the hexagon, the sum of all angles must be equal to 360. So, we have 360 divided by 6 and we have 60 and this is the angle for the hexagon. For the pentagon, again, the sum of all the angles must be equal to 360, so each angle is equal to 360/5 = 72.
The difference between 72 and 60 is equal to y which is 12.
Step-by-step explanation:
hello help me with this question thanks in advance
\(\bold{\huge{\purple{\underline{ Solutions}}}}\)
Answer 5 :-We have,
\(\sf{ HE = 2x cm \: and \: OR = ( x + 5)cm}\)
We know that,
Parallelogram has opposite sides parallel and equal.From above property,
\(\sf{ HE = OR }\)
\(\sf{ 2x = x + 5}\)
\(\sf{ 2x - x = 5}\)
\(\sf{ x = 5}\)
Thus, The value of x is 5cm
Therefore,
The value of HE
\(\sf{ = 2x}\)
\(\sf{ = 2× 5}\)
\(\sf{\red{ = 10 cm}}\)
The measurement of HE is 10 cm
Hence, Option A is correct
Answer 6 :-We have,
\(\sf{m}{\sf{\angle{HER = 5y - 26° \: and\: m }}}{\sf{\angle{ ROH = 2y + 40°}}}\)
In parallelograms, Opposite angles are equalFrom above property,
\(\sf{m}{\sf{\angle{HER = }}}{\sf{\angle{ ROH}}}\)
\(\sf{ 5y - 26° = 2y + 40°}\)
\(\sf{ 5y - 2y = 40 + 26}\)
\(\sf{ 3y = 40 + 26}\)
\(\sf{ y = 66/3}\)
\(\sf{ y = 22°}\)
Thus, The value of y is 22°
Therefore,
The measurement of Angle HER
\(\sf{ = 5 × 22 - 26 }\)
\(\sf{ = 110 - 26 }\)
\(\sf{\red{= 84° }}\)
The measurement of angle HER is 84°
Hence option D is correct
Answer 7 :-We have,
\(\sf{ HZ = 4a - 5 \:and \:RZ = 3a + 5 }\)
The diagonals of parallelogram are equal in length Here, RZ is the bisector of diagonal HR\(\sf{ 4a - 5 = 3a + 5 }\)
\(\sf{ 4a - 3a = 5 + 5}\)
\(\sf{ a = 10}\)
Thus, The value of a is 10
Therefore,
The measurement of HZ
\(\sf{ = 4 × 10 - 5 }\)
\(\sf{ = 40 - 5 }\)
\(\sf{\red{= 35 \: cm }}\)
The measurement of HZ is 35 cm
Hence, Option C is correct
Answer 8 :-We have ,
One diagonals = 5x - 47
Another diagonal = 2x + 34
In isosceles trapezoid, Diagonals are equal in length.From above property,
\(\sf{ 5x - 47 = 2x + 34 }\)
\(\sf{ 5x - 2x = 34 + 47}\)
\(\sf{ 3x = 81 }\)
\(\sf{ x = 81/3 }\)
\(\sf{ x = 27}\)
Thus, The value of x is 27
Hence, Option A is correct
Answer 9 :-We have,
The sides of parallelogram GAME are (7x - 1 ) , ( 5x + 10 ) , (6x) , ( 7x - 2 )
In parallelogram, Opposite sides are equalFrom above property,
\(\sf{ 7x - 1 = 6x }\)
\(\sf{ 7x - 6x = 1 }\)
\(\sf{ x = 1 }\)
\(\sf{ 5x + 10 = 7x - 2}\)
\(\sf{ 7x - 5x = 10 + 2 }\)
\(\sf{ 2x = 12}\)
\(\sf{ x = 12/2 }\)
\(\sf{ x = 6 }\)
Thus, measurements of parallelogram GAME in inches is 1 and 6 .
Hence, Option B is correct
Answer 10 :-We have,
\(\sf{ ES = 18 cm}\)
The diagonals of rectangle are equal in length. Here, NP = OE PS and NS act as a bisector in OE and OS and ES act as a bisector in NPFrom above we can say that,
\(\sf{ OE = OS + ES }\)
\(\sf{ OE = 2ES ( OS = ES bisector}\)
\(\sf{ OE = 2 × 18 }\)
\(\sf{ OE = 36cm }\)
Thus, The value of OE is 38 cm
Therefore,
\(\sf{ OE = NP }\)
[ Diagonals of the given rectangle ]
\(\sf{\red{NP = 36 cm }}\)
Thus , The value of NP is 36 cm
Hence, Option C is correct
Use this table of average number of three-point shots per game: graph the points, then choose the sentence that best describes this function.
Year Attempts
1991 28.0
1992 29.8
1993 33.0
1994 34.3
1995 34.0
Answer:
The average number of three-point shots has increased since 1991.
Step-by-step explanation:
i got it right on my test
plz give me brainlist if this helps :)
The average number of three-point shots has increased since 1991 option (A) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The table is given in the picture.
The graph is shown in the picture
From the graph,
The average amount of three-point shots has grown since 1991
1991 28.0
1992 29.8
1993 33.0
1994 34.3
1995 34.0
Thus, the average number of three-point shots has increased since 1991 option (A) is correct.
The options are:
The average number of three-point shots has increased since 1991.
The average number of three-point shots has remained unchanged since 1991.
The average number of three-point shots increased, then decreased greatly since 1991.
The average number of three-point shots has decreased since 1991.
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severe difficulty in making mathematical calculations as a result of a brain disorder
Dyscalculia is a learning disorder that affects a person’s ability to do the math.
A learning problem called dyscalculia diminishes a person's capacity for math. Similar to how dyslexia impairs reading-related brain regions, dyscalculia interferes with the knowledge and skills connected to math and numbers. Although dyscalculia often first manifests in childhood, it can even affect adults who are unaware of it.
The signs of this condition typically emerge in childhood, particularly as kids start to master the fundamentals of math. However, many adults who suffer from dyscalculia are unaware of it. When forced to do the math, people with dyscalculia frequently experience mental health problems like anxiety, depression, and other distressing emotions.
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Help thanksssssssss
....
Answer:
the value of all the money on the screen is $3.93
Step-by-step explanation:
3 dollar bills plus three quarters= $3.75
plus a dime= $3.85
plus a nickel= $3.90
plus three pennies= $3.93
a penny= $0.01
nickel= $0.05
dime= $0.10
a quarter= $0.25
a dollar= $1.00
hope this helps <3
In an ice hockey game, a tie at the end of one overtime leads to a "shootout" with three shots taken by each team from the penalty mark. Each shot must be taken by a different player. How many ways can 3 players be selected from the 5 eligible players? For the 3 selected players, how many ways can they be designated as first second and third?
There are 6 ways to designate the 3 selected players as first, second, and third.
The number of ways to select 3 players from a pool of 5 eligible players is given by the combination formula:
C(5,3) = 5! / (3! * 2!) = 10
Therefore, there are 10 ways to select 3 players for the shootout.
Once the 3 players have been selected, there are 3 distinct ways to designate them as first, second, and third, since each player can only take one shot and the order matters. Therefore, the number of ways to designate the 3 players is simply the number of permutations of 3 objects, which is:
P(3) = 3! = 6
Therefore, there are 6 ways to designate the 3 selected players as first, second, and third.
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write 1.1% as a decimal number
Answer:
0.011
Step-by-step explanation:
To convert a percentage into a decimal, simply divide by 100;
Some examples are:
1% = 0.01
5% = 0.05
10% = 0.1
50% = 0.5
N.B. finding a percentage of a number is multiplying by the decimal form, so, e.g. 1.1% of 1000 is:
1000 × 0.011 = 11
Answer:
0.011
Step-by-step explanation:
To convert a percentage to a decimal, you must divide the percentage by the number 100.
Therefore, 1.1% / 100 = 0.011.
(If the question was the other way around and you wanted to turn a decimal into a percentage. All you have to do is the opposite. When you have a decimal multiply it by 100 to get a percentage.)
Hope this helped you!
A triangular prism is 11.2 meters long and has a triangular face with a base of 11 meters and
a height of 11 meters. What is the volume of the triangular prism?
cubic meters
Answer:
The volume of the triangular prism is 677.6 cubic meters.
Step-by-step explanation:
The formula for the volume of a triangular prism is:
\(\sf\qquad\dashrightarrow Volume \: (V) = \dfrac{1}{2} \times b\times h \times l \)
where:
b is the base of the triangular faceh is the height of the triangular facel is the length of the prismSubstituting the given values, we have:
\(\sf:\implies Volume \: (V) = \dfrac{1}{2} \times 11 \times 11 \times 11.2\)
\(\sf:\implies \boxed{\bold{\:\:Volume \: (V) = 677.6\: meters^3\:\:}}\:\:\:\green{\checkmark}\)
Therefore, the volume of the triangular prism is 677.6 cubic meters.
Greetings! ZenZebra at your service, hope it helps! <33
Gib alle reellen Zahlen x an, die die Gleichung lösen.
a) x2 - 16 = 0
Answer:
x = +4 , -4
Step-by-step explanation:
Solving the equation:x² - 16 = 0
x² = 16
\(\sf x = \sqrt{16}\\\\x = \sqrt{4*4}\\\\\)
x = ±4
If 3 cars have traveled a total of 180,000 miles and the distance traveled by each car differs by at least 1 mile from the distance traveled by either of the other 2 cars,what is the minimum possible number of miles traveled by the car with the most mileage
Answer:
60001 miles
Step-by-step explanation:
Given
\(Total\ Distance = 180000\)
Let the cars be: \(Car\ A, Car\ B\ and\ Car\ C\)
Assume that Car A has the minimum mileage of x.
\(Car\ A = x\)
The other cars would be:
\(Car\ B = x + 1\)
\(Car\ C = x + 2\)
This implies that Car C has the highest mileage
Required
Determine the possible minimum number of miles
Since the total distance is 180000, then:
\(Car\ A + Car\ B + Car\ C = 180000\)
Substitute values for Car A, B and C
\(x + x + 1 + x + 2 = 180000\)
Collect Like Terms
\(x + x + x = 180000-1-2\)
\(3x = 179997\)
Divide both sides by 3
\(\frac{3x}{3} = \frac{179997}{3}\)
\(x = \frac{179997}{3}\)
\(x = 59999\)
The car with the most mileage is Car C
So:
\(Car\ C = x + 2\)
Substitute 59999 for x in \(Car\ C = x + 2\)
\(Car\ C = 59999 + 2\)
\(Car\ C = 60001\)
The minimum distance travelled by Car C is 60001 miles
need answer asap please answer quick
Answer:
d option
Step-by-step explanation:
Area of rectangle = length × breadth
Placing the values,
143 m² = length × 6.5 m
length = 143 m²/6.5 m = 22 m.
Hope it helps.
Assume there are 20 people in a room, including you. You must shake hands with everyone else in the room. How many hands will you shake
Answer:
19, I'm pretty sure?
Estimate the value of
0.581 -0.246
The value of expression is,
⇒ 0.335
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
The expression is,
⇒ 0.581 - 0.246
Now,
Since, The expression is,
⇒ 0.581 - 0.246
After subtraction we get;
⇒ 0.581 - 0.246
⇒ 0.335
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A quality control officer is randomly checking the weights of pumpkin seed bags being filled by an automatic
filling machine. Each bag is advertised as weighing 400 grams. A bag must weigh within 2.1 grams in order to be
accepted. What is the range of rejected bags, x, for the bags of pumpkin seeds?
O z < 400.0 and x
402.1
O 397.9 < T < 402.1
O 400.0 < T < 402.1
t < 397.9 and z > 402.1
Option: D is the correct answer.
D. x < 397.9 and x > 402.1
Step-by-step explanation:It is given that:
Each bag is advertised as weighing 400 grams.
Also, a bag must weigh within 2.1 grams in order to be accepted.
Hence, for the bag being accepted the weight must be no less than 2.1 gram from 400 gram and should be no more than 2.1 gram from 400 grams.
i.e. the weight of the bag must be such that:
400-2.1≤ x ≤ 400+2.1
i.e.
397.9 ≤ x ≤ 402.1
Hence, if the weight of the bag is less than 397.9 grams or is more than 402.1 grams then the bag will be rejected.
i.e. The range for the bag being rejected is: x<397.9 grams and x>402.1 grams.