Answer:
-3.6 is a negative number compared to 1.2. 1.2 is -3 times less than -3.6. -3.6 is -3 times more than 1.2
Step-by-step explanation:
(can I get brainliest)
Answer:
they are both number with a decimal in it
Step-by-step explanation:
A parallelogram has sides measuring 10 and 18, and an angle measuring 100 degrees. What is its area?
Answer:
180
Step-by-step explanation:
The area of a parallelogram is given by the formula A = b × h, where b is the base and h is the height. In this case, the base is 10 and the height is 18. Therefore, the area is:
A=10×18
A=180
The area of the parallelogram is 180 square units
What is the slope of the line that contains these points? х 5 6 7 8 у -3 -1 1 3 slope:
p1( 5, -3) and p2(8,3)
the slope is:
\(\text{slope}=\frac{y2-y1}{x2-x1}=\frac{3-(-3)}{8-5}=\frac{3+3}{3}=\frac{6}{3}=2\)slope = 2
Translate this sentence into an equation.The product of 5 and Julie's height is 80.Use the variablej to represent Julie's height.
ANSWER:
5 x j = 80
STEP-BY-STEP EXPLANATION:
The sentence as an equation would be the multiplication of j and 5 equal to 80, just like this:
\(5\times j=80\)Choose the expression that correctly compares the numbers 117 and 171.
171 < 117
171 = 117
171 > 117
117 > 171
Answer:
171 > 117
Step-by-step explanation:
171 is greater than 117 meaning the alligator is eating the bigger number, 171.
Katie has a collection of nickels dimes and quarters with a total value of $4.60. there are 6 more dimes than nickels and 8 more quarters than nickels. How many of each coins does she have?
Answer:
920
Step-by-step explanation:
$4.60×6-8
$4.60×2dimes
=920
In A container, there are red, blue and green balls. 3/11 of ball s are red There are 35 more blue balls than red balls. The remaining 90 balls are green. How many more blue balls than green balls are there? of the balls are red.
Henri necesita empacar en la menor cantidad de de cajas, cinta de color rojo y cinta de color verde si hay 120 metros de cinta de color rojo y 160 metros de cinta de color verde ¿que cantidad de cinta roja y verde deberá empacar Henri en cada caja?
Answer:
Step-by-step explanation:
The sum of 3 and r is less than 7.What number sentence represents the statement?
The sum of 3 and r can be represented by "3 + r"
If this sum is less than 7, we can use the symbol "lesser than" (<) to compare the sum with the number 7, so our number sentence is:
\(3+r<7\)luke wants to buy an ipod. determine the equivalent cash price if luke makes 18 monthly payments of $31.48 at an interest rate of 15.2% compounded monthly
Answer:
We can use the formula for the present value of an annuity:
PV = PMT x [(1 - (1 + r)^(-n)) / r]
where PV is the present value, PMT is the monthly payment, r is the monthly interest rate, and n is the number of payments.
Substituting the given values, we have:
PV = $31.48 x [(1 - (1 + 0.152/12)^(-18)) / (0.152/12)]
PV = $31.48 x [(1 - 0.5159) / 0.0127]
PV = $1,007.97
Therefore, the equivalent cash price of the iPod is $1,007.97.
Jim runs 3 miles in 28 minutes. At the same rate, how many miles would he run in 42 minutes?
Answer:
9/2 miles or 4.5 miles
Step-by-step explanation:
First lets see how many miles Jim would run in one minute. That would be 3/28 miles in one minute. Than multiply that by 42 and you get 9/2.
Pina filled out the following information on the back of her monthly statement:
Ending balance from statement $1,139.78
Deposits outstanding
+ $280.67
Total of checks outstanding
- $656.91
Revised statement balance
Balance from checkbook
$763.54
Find Pina's revised statement balance. Does her account reconcile?
Answer:
yes
Step-by-step explanation:
It is true that Pina's account reconciles.
The monthly statement is given as:
Ending balance from statement $1,139.78 Deposits outstanding + $280.67 Total of checks outstanding - $656.91 Revised statement balance $ Balance from checkbook $763.54Start by calculating the revised statement at the end of the month.
This is calculated using:
\(Revised = Ending\ Balance + Deposit\ Outstanding - Checks\ Outstanding\)
So, we have:
\(Revised = \$1139.78 + \$280.67 - \$656.91\)
Evaluate the expression
\(Revised = \$763.54\)
By comparison, the revised statement equals the balance from the checkbook.
Hence, we can conclude that her account reconciles.
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Money is invested at two rates of interest. One rate is 8%
and the other is 2%
. If there is $600
more invested at 8%
than at 2%
, find the amount invested at each rate if the total annual interest received is $470
. Let x=
amount invested at 8%
and y=
amount invested at 2%
. Then the system that models the problem is {x=y+6000.08x+0.02y=470
. Solve the system by using the method of addition.
Answer:
at 8% (x) = $4820at 2% (y) = $4220Step-by-step explanation:
You want the solution to the system of equation using the addition method:
x = y + 6000.08x + 0.02y = 470AdditionWe can multiply the first equation by 0.02 and add it to the second:
0.02(x) +(0.08x +0.02y) = 0.02(y +600) +(470)
0.10x +0.02y = 0.02y +482 . . . . . . . . . simplify
0.10x = 482 . . . . . . . . . . . . . . . . . . . . subtract 0.02y
x = 4820 . . . . . . . . . . . . . . . . . . . . multiply by 10
y = x -600 = 4820 -600 = 4220
The amount invested at 8% is $4820; the amount invested at 2% is $4220.
__
Additional comment
You will notice that we solved the equations using "addition" by adjusting coefficients so one variable (y) had the same coefficient on each side of the equal sign. That term was then subtracted from both sides, eliminating the variable. The point of the "method of addition" is to eliminate one variable, which is what we did.
More conventionally, we might rearrange the first equation to x - y = 600 before multiplying by 0.02 and doing the addition. That also eliminates the y-variable.
The calculator result shown in the attachment is also a form of elimination by the addition method.
find the area of this unusual shape
Answer:
38 ft²
Step-by-step explanation:
The shape consists of a rectangle and two triangles.
Area of the shape = area of rectangle + area of the two triangles
✔️Area if the rectangle = L × W
L = 8 + 2 = 10 ft
W = 3 ft
Area of rectangle = 10 × 3 = 30 ft²
✔️Area of the large triangle = ½ × bh
b = 4 ft
h = 3 ft
Area of large triangle = ½ × 4 × 3 = 6 ft²
✔️Area of the small triangle = ½ × bh
b = 2 ft
h = 2 ft
Area of large triangle = ½ × 2 × 2 = 2 ft²
✅Area of the shape = 30 + 6 + 2 = 38 ft²
What are the solutions to the equation 0=|3x+3|+3
Therefore, the solutions to the equation 0 = |3x + 3| + 3 are x = -2 and x = 0.
To solve the equation 0 = |3x + 3| + 3, we need to eliminate the absolute value. Remember that the absolute value of a number is always non-negative.
First, let's isolate the absolute value term on one side of the equation:
|3x + 3| = -3
Since the absolute value cannot be negative, there are no solutions to the equation as it stands. However, if we modify the equation to make the right side positive, we can find a solution.
To eliminate the absolute value, we can rewrite the equation as two separate equations, considering both the positive and negative cases:
3x + 3 = -3
-(3x + 3) = -3
Solving equation 1:
3x + 3 = -3
3x = -6
x = -2
Solving equation 2:
-(3x + 3) = -3
-3x - 3 = -3
-3x = 0
x = 0
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71) How long is the wire to the nearest foot?A. 40 ftB. 50 ftC. 64 ftD. 78 ft
B
71) As we have a right triangle, one leg and another missing then we can use a trigonometric ratio to find that out.
Note that the missing leg is the hypotenuse (opposite to the right angle):
\(\begin{gathered} \sin (64^{\circ})=\frac{\text{opposite side}}{hypotenuse} \\ \sin (64^{\circ})=\frac{45}{x} \\ \sin (64^{\circ})x\text{ =45} \\ \frac{\sin (64^{\circ})x}{\sin (64^{\circ})}=\frac{45}{\sin (64^{\circ})} \\ x\approx50 \end{gathered}\)2) Note that we've crossed multiplied and then divided both sides by the same quantity sin(64)
3) Hence, the missing side (hypotenuse) is approximately 50 ft
What is the value of x?
The value of x is (answer in degrees)
Answer:
57 degrees
Step-by-step explanation:
Since 2 of the sides are equal, this means that the triangle is an isosceles triangle, which means that the 3rd angle(the angle not labeled) will also equal to x. Therefore, we can set up an equation and solve for x:
x+x+66=180
2x+66=180
2x=114
x=57
plz answer question in screen shot
Answer:
tan theta = 2 sqrt(5) /15
Step-by-step explanation:
sin theta = opp / hypotenuse
sin theta = 2/7
We can use the Pythagorean theorem to find the length of the adjacent side
a^2 + b^2 = c^2
2^2 +adj^2 = 7^2
4 + adj^2 = 49
adj ^2 = 49-4
adj^2 = 45
Taking the square root of each side
adj = sqrt(45) = sqrt(9*5) =sqrt(9) sqrt(5) = 3 sqrt(5)
The tan theta = opp/ adj
tan theta = 2 / 3 sqrt(5)
Multiply by sqrt(5) / sqrt(5)
= 2 sqrt(5) / 3 *5
= 2 sqrt(5) /15
Part A: Mrs. Konsdorf claims that angle R is a right angle. Is she correct? Explain your reasoning. Part B: If T is transformed under the rule (x,y) —> (x-1, y-2), then does T’ Form a right angle at angle GRT’?
Part A.
In order to see if R is a right angle, we need to find the slope of the line segments GR and RT.
The points G and R are
\(\begin{gathered} G=(x_1,y_1)=(-6,5) \\ R=(x_2,y_2)=(-3,1) \end{gathered}\)By substituting these point into the slope formula ,we have
\(\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{1-5}{-3-(-6)} \end{gathered}\)which gives
\(\begin{gathered} m=\frac{-4}{3} \\ m=-\frac{4}{3} \end{gathered}\)Now, lets find the slope of the line segment RT.
The points R and T are
\(\begin{gathered} T=(x_1,y_1)=(2,6) \\ R=(x_2,y_2)=(-3,1) \end{gathered}\)then, the slope is
\(\begin{gathered} M=\frac{y_2-y_1}{x_2-x_1} \\ M=\frac{1-6}{-3-2} \\ M=\frac{-5}{-5}=1 \end{gathered}\)Finally, two lines segments are perpendicular (or in other words, R is a right angle) if one of the slopes is a negative reciprocal of the other, that is, the following equality must be fulfilled:
\(m=-\frac{1}{M}\)However, in our case, we can see that
\(-\frac{4}{3}\ne-\frac{1}{1}\)Therefore, R is not a right angle.
Part B.
We want to see if angle R is a right angle but with a new T, which is now T'. In this case, we can apply the same procedure but with the point T' as
\(T^{\prime}=(x_1,y_1)=(1,4)\)because T was (2,6) then T'=(2-1,6-2)=(1,4).
So, the new slope for the segment RT' is
\(\begin{gathered} M=\frac{1-4}{-3-1} \\ M=\frac{-3}{-4}=\frac{3}{4} \end{gathered}\)But now, we can see that
\(\begin{gathered} m=-\frac{1}{M} \\ \text{yields,} \\ -\frac{4}{3}=-\frac{1}{\frac{3}{4}} \\ -\frac{4}{3}=-\frac{4}{3} \end{gathered}\)since both number are the same, then m is the negative reciprocal of the new M, therefore, the line segments GR and RT' are perpendicular, which implies that R is a right angle.
if you are looking for the diagonal through the box from top left vertex to bottom right vertex...or...you are looking for the diagonal through the bottom of the box, you would use which of these theorems?
The length of the diagonal of a rectangular box with the dimensions of 3cm×4cm×12cm is 13 meters
The length of the rectangular box = 3 meters
The width of the rectangular box = 4 meters
The height of the rectangular box = 12 meters
According to the extension of Pythagorean theorem
d^2 = x^2 + y^2 + z^2
Where d is the length of the diagonal
x, y and z are the length, width and height of the rectangular box respectively
Substitute the values in the equation
d^2 = 3^2 + 4^2 + 12^2
d^2 = 9 + 16 + 144
d^2 = 169
d = 13 meters
Therefore, the length of the diagonal is 13 meters
I have answered the question in general, as the given question is incomplete
The complete question is:
What is the length of the diagonal of a rectangular box with the dimensions of 3cm×4cm×12cm?
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Solving the for angle NMP. *
Answer:
50°
Step-by-step explanation:
Angle NMP is an angle that has its vertex on a point along the circumference of the circle, thus, angle NMP is referred to as an inscribed angle of the circle.
The measure of an inscribed angle is equal to half of the measure of the arc it intercepts.
Therefore, the following equation shows the relationship between inscribed angle NMP and arc NP:
m<NMP = ½ × measure of arc NP
m<NMP = ½*100
m<NMP = 50°
8. Colby and Cheryl work in different local supermarkets. Colby regularly earns $8.90 per hour,
and he is paid time-and-a-half for each hour of overtime he works. Cheryl regularly earns
$7.10 per hour, and she is paid double time for an hour of overtime.
How much does Colby earn for an hour
of overtime?
How much does Cheryl earn for an hour of
overtime?
Who earns more for an hour of overtime? How much more?
Answer:
Answer:
colby
hourly rate =$8.90
overtime rate = time and a half = 1.5
the hourly overtime rate is the product of the overtime rate and the hourly rate.
hourly overtime rate= overtime rate × hourly rate
= 1.5 × $8.90
= $13.35
Cheryl
hourly rate = $7.10
overtime rate = double time = 2
the hourly overtime rate is the product of overtime rate and the hourly rate.
hourly overtime rate = overtime rate × hourly rate
= 2 × $7.10
= $14.20
Comparisonwe note that the hourly overtime rate of cheryl is higher than the hourly overtime rate of colby, which implies that cheryl earns more for one hour of overtime.
we are also interested in the difference of the hourly overtime rate:
hourly overtime rate colby — hourly overtime rate cheryl
= $14.20 – $13.35
= $0.85
thus cheryl earns $0.85 more for one hour of overtime than colby .
resultcheryl,$0.85그것이 당신에게 도움이되기를 바랍니다 :)
가장 똑똑한 것으로 표시하십시오 :)
좋은 하루 되세요 :)
Answer:
13.35
Step-by-step explanation:
colby
hourly rate =$8.90
overtime rate = time and a half = 1.5
the hourly overtime rate is the product of the overtime rate and the hourly rate.
hourly overtime rate= overtime rate × hourly rate
= 1.5 × $8.90
= $13.35
What is a mixed fraction and how would you explain it?
Mixed Fractions A mixed fraction is a type of fraction in which there is a whole number part and a fractional part. For example, 31, 7, 3, 1, and 7 are all mixed fractions. It is also referred to as a mixed number.
Answer:
Fraction 7/2
Mixed fraction of the above 3 1/2
Step-by-step explanation:
a mixed number is a whole number and. Fraction for an answer
So 3 1/2 is a mixed number 7/2 is the fraction befor reduced to a mixed number
Pls help!! Thank u!!!!!
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
just add the numbers on the right side of the equals sign together, if you get 2 2/3 the equation is true.
This is just a question I had.
If Denny (random name) left to another country and he left the Tuesday of this week (June 20) and he left for a month, what day would he be back on? I though July 18 but I’m not sure. Pls help?
Answer:
Step-by-step explanation:
Well, since the length of a month can vary in the number of days, this answer can also vary.
For example, February is only 28 days long, while December is 31 days long.
That being said, the average length of all 12 months is 30.436875 days, so if Denny left to another country on June 20th, he would most likely be back July 19th of July 20th.
I hope this helps!
When Tyee runs the 400 meter dash, his finishing times are normally distributed with a mean of 61 seconds and a standard deviation of 1.5 seconds. If Tyee were to run 39 practice trials of the 400 meter dash, how many of those trials would be faster than 62 seconds, to the nearest whole number?
To find out how many of the 39 practice trials would be faster than 62 seconds, we need to calculate the proportion of trials that fall within the range of more than 62 seconds.
We can use the z-score formula to standardize the values and then use the standard normal distribution table (also known as the z-table) to find the proportion.
The z-score formula is:
z = (x - μ) / σ
Where:
x = value (62 seconds)
μ = mean (61 seconds)
σ = standard deviation (1.5 seconds)
Calculating the z-score:
z = (62 - 61) / 1.5
z ≈ 0.6667
Now, we need to find the proportion of values greater than 0.6667 in the standard normal distribution table.
Looking up the z-score of 0.6667 in the table, we find the corresponding proportion is approximately 0.7461.
To find the number of trials faster than 62 seconds, we multiply the proportion by the total number of trials:
Number of trials = Proportion * Total number of trials
Number of trials = 0.7461 * 39
Number of trials ≈ 29.08
Rounding to the nearest whole number, approximately 29 of the 39 practice trials would be faster than 62 seconds.
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Mr. Lewis is 63 years old. He wants to take out a five-year level-term life insurance
policy with a face value $700,000. The monthly premium is $72.
2. If he dies after paying for the policy for 24 months, how much will the insurance
company pay his beneficiaries?
The amount insurance company will pay is $700000.
We are given that
Age of Mr. lewis= 63
Policy value= $700,000
Now,
If Mr. Lewis dies after paying for the policy for 24 months, he would have paid a total of 24 * $72 = $1728 in premiums. Since he has a five-year level-term life insurance policy with a face value of $700,000, his beneficiaries would receive the full face value of the policy if he dies within the five-year term.
Therefore, by algebra the answer will be $700000.
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If 15 is equal to 20% how much is 100%???
Answer:
75=100%
Step-by-step explanation:
15=20%
30=50%
75=100%
In 2005, the Federal Aviation Administration (FAA) updated its passenger weight standards to an average of 190 pounds in the summer (195 in the winter). This includes clothing and carry-on baggage. The FAA, however, did not specify a standard deviation. A reasonable standard deviation is 35 pounds. Weights are not Normally distributed, especially when the population includes both men and women, but they are not very non-Normal. A commuter plane carries 25 passengers. What is the approximate probability that, in the summer, the total weight of the passengers exceeds 5200 pounds
Answer: 0.0051
Step-by-step explanation:
Given the following :
Average Population weight (m) = 190
Population standard deviation (σ) = 35
Total weight of 25commuters (x) = 5200
Sample mean = 5200 /25 = 108
Sample standard deviation = standard error :
σ / √n = 35/√25 =
35/5 = 7
Zscore = (x - m) / standard error
Zscore = (208 - 190) / 7
Zscore = 18 / 7
= 2.57
P( Z > 2.57) = 1 - p(Z < 2.57)
P(z < 2.57) = 0.9949
1 - p(Z < 2.57) = 1 - 0.9949 = 0.0051
1. A survey of 36 students was conducted to find out how many students enjoy playing volleyball, and 17 said they did. If 648 students were surveyed, how many would say they enjoy playing volleyball?
The total number of students calculated with the method called simplification and who are playing volleyball is 206.
How simplification method work?
In mathematics, the simplification method is used for the equation formation for the problem statements. And it also convert the complicated expression into simpler one to make the calculation easy.
According to the question, the given survey data for the playing volleyball is written below and it is solved by the simplification method:
survey of students: 36
play volleyball: 17
As per question, the simplification expression for the given statement which state that, if the survey of 648 students how many students play volleyball?
Therefore, the required simplified expression can be written as:
Required expression: 648÷36= 18
Now, playing volleyball =18×17=206 students play volleyball
Hence, the total number of students calculated with the method called simplification who are playing volleyball is 206.
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please help tysm ill mark brainliest
Answer:
use pemdas(order of the operations)and you'll get the answer 27!!
Step-by-step explanation: