Answer:
D 448
multiply -4×16×-7
= 448
Wyatt was out at a restaurant for dinner when the bill came. He wanted to leave a tip of 19%. What number should he multiply the cost of the meal by to find the total plus tip in one step?
Answer:
The cost of the meal should be multiplied by 1.19.---------------------------------------
Let the cost of the meal be x.
Adding a tip of 19%:
x + 19% = x + 0.19x = x (1 + 0.19) = 1.19xAnswer:
Wyatt should multiply with 1.19.
Step-by-step explanation:
Forming the expression,
→ 1 + (19% of 1)
Now the required number is,
→ 1 + (19% of 1)
→ 1 + ((19/100) × 1)
→ 1 + (19/100)
→ 1 + 0.19 = 1.19
Hence, required number is 1.19.
determine if the equation is linear in x. 5 - 3x = 0
Answer:
It is a linear equation in x
Explanation:
A linear equation in x is an equation of the form
ax + b = 0
Where a and b are constants and the exponent of the variable x is 1. In this case, the equation is
5 - 3x = 0
So, it is a linear equation in x.
I need help on question 1-6
Will be mark brainlist
Answer:Look
Step-by-step explanation: Look and solve its not that hard
Please help me im pass due and my mom will ground me
Answer:
\( \frac{5}{6} * 20 = \frac{5 * 20}{6} = \frac{100}{6} = \frac{50}{3} = 16\frac{2}{3} \)
Step-by-step explanation:
\( \frac{5}{6} * 20 \)
Multiply
\( = \frac{5 * 20}{6} \)
\( = \frac{100}{6} \)
Simplicity by reducing the fraction. Divide the numerator and denominator by 2, respectively.
\( = \frac{50}{3} \)
Divide 50 by 3 to get a mixed number
\( = 16\frac{2}{3} \)
A professional writer decides to judge the value of her laptop by the number of times she presses
its keys before it breaks. The value V depends on the number of keypresses, k, according to the
formula:
V = 1200 -0.00002k
After one year, the value of her laptop is between $803.20 and $899.20.
What is the corresponding range of keypresses?.
Answer:
D.)
15040000 <= k <=19840000
Step-by-step explanation:
V = 1200 -0.00002k
Value V after one year falls in the range of $803.20 and $899.20.
Let's substract these values from 1200.
1200-803.20=396.80
1200-899.20=300.80
So it means that
0.00002k= 396.80
And
0.00002k= 300.80
So
0.00002k= 396.80
K= 396.80/0.00002
K= 19840000
And
0.00002k= 300.80
K = 300.80/0.00002
K= 15040000
So range is between
15040000 <= k <=19840000
Dada la siguiente ecuación y= 4x +3
Graficar la ecuación (Utilice tabla)
Encontrar la pendiente de la ecuación (utilice la siguiente fórmula m=(y_2y_1)/(x_2-x_1 ))
Encontrar el ángulo de inclinación (utilice la siguiente fórmula α=arc tanm)
Dada la siguiente ecuación y= -4x -2
Graficar la ecuación (Utilice tabla)
Encontrar la pendiente de la ecuación (utilice la siguiente fórmula m=(y_2y_1)/(x_2-x_1 ))
Encontrar el ángulo de inclinación (utilice la siguiente fórmula α=arc tanm)
Answer:
The given equation is
\(y=4x+3\)
To graph this equation, we need to create a table for all the coordinates pairs.
X Y
0 3
-3/4 0
So, we have two points, (0,3) and (-3/4, 0). Now, we graph them to draw a straight line as the image attached shows.
To find the slope, we use those points.
\(m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }=\frac{0-3}{-\frac{3}{4} -0} =\frac{-3}{-\frac{3}{4} }\\ m=4\)
So, the slope is 4.
The angle of inclination is found by the formula
\(tan \theta = m\)
Where \(\theta\) is the angle and \(m\) is the slope.
\(\theta = tan^{-1}(4) \approx 76\°\)
Therefore, the angle of inclination is 76°, approximately.
S T R Р Using the information given, which congruence postulate or theorem can be used to prove that A PQR = ATSR? (G.6) (1 point) O A. Hypotenuse-Leg Theorem OB. Side-Angle-Side Postulate O C. Side-Side-Side Postulate O D. Angle-Angle-Side Theorem
In thos problem we know that
PQ=TS -----> given
given
and
therefore
the triangles are congruent by
Angle-Angle-Side Theorem option D
I would really appreciate it if someone could answer this I will give a brainlist:)
5.7
Pythagorean Theorem is a² + b² = c²
Answer:
x = 5.7
Step-by-step explanation:
Formula:
a² + b² = c²
4² + b² = 7²
16 + b² = 49
b² = 49 - 16
b² = 33
\(\sqrt{b^2} =\sqrt{33}\)
b = 5.7
What sentence represents the number of points in the problem below?
A test is worth 50 points. Multiple-choice questions are worth 1 point, and
short-answer questions are worth 3 points. If the test has 20 questions, how
many multiple-choice questions are there?
Answer:
Choice D.
Step-by-step explanation:
The number of points is obtained by the number of points of each multiple choice question times the number of multiple choice questions added to the number of points of each short answer question times the number of short answer questions.
Since the total number of points is 50, then the number of points from the multiple choice questions plus the number of points from the short answer questions add up to 50 points.
Answer: Choice D.
Answer:
D
Step-by-step explanation:
The number of points is 50, and short answer questions are 3 pts. Multiple choices are 1 pts.
So we have 3s+m=50
How do I do this question Do the data in the table represent a linear function? If so write a rule for the function
ANSWER
No
EXPLANATION
To see if this table represents a linear function, we have to find the slope - also called the average rate of change,
\(m=\frac{y_1-y_2}{x_1-x_2}\)We can find it using the first two points in the table, (-2, -7) and (-1, 1),
\(m=\frac{1-(-7)}{-1-(-2)}=\frac{1+7}{-1+2}=\frac{8}{1}=8\)Let's assume that this is a linear function. Then, the equation would be,
\(y=8x+b\)Use the first point in the table to find the y-intercept, b,
\(\begin{gathered} -7=8\cdot(-2)+b \\ -7=-16+b\text{ }\Rightarrow\text{ }b=16-7=9 \end{gathered}\)So, we have the equation,
\(y=8x+9\)Now, we have to check if all the points in the table satisfy this equation. If they do, then the table represents a linear function and this is the equation,
\(\begin{gathered} -7=8(-2)+9 \\ -7=-16+9 \\ -7=-7\text{ }\Rightarrow\text{ }true \end{gathered}\)\(\begin{gathered} 1=8(-1)+9 \\ 1=-8+9 \\ 1=1\text{ }\Rightarrow\text{ }true \end{gathered}\)\(\begin{gathered} 8=8\cdot0+9 \\ 8=8\text{ }\Rightarrow\text{ }false \end{gathered}\)The third point in the table does not satisfy the linear equation, but all the other points do.
Hence, this table does not represent a linear function.
Find the volume common to two spheres, each with radius r, if the distance between their centers is r/2. [Hint: It may be helpful to look at the previous question and see how it relates to this one. ] intersectingspheres
Answer:
The volume common to two spheres is \(V=\frac{27 \pi r^3}{32}\)
Step-by-step explanation:
Let r be the radius of each sphere
We are given that distance between their centers is \(\frac{r}{2}\)
Let \((\frac{-r}{4},0)\) be the center of sphere 1 and \((\frac{r}{4},0)\)be the center of sphere 2 .
Using the disk points
a=0 and b =\(\frac{3r}{4}\)
\((x+(\frac{r}{4}))^2+y^2=r^2\\V=2 \int_{0}^{\frac{3r}{4}} \pi y^2 dx\\V=2 \int_{0}^{\frac{3r}{4}} \pi [r^2-(x+(\frac{r}{4}))^2]dx\\V=\frac{27 \pi r^3}{32}\)
Hence the volume common to two spheres is \(V=\frac{27 \pi r^3}{32}\)
In attached diagram, we can see 2 circumferences with radius r, and separated centers by r/2.
The solution is:
V = (11/12)×π×r³
Let´s call circumferences 1 and 2, by symmetry, rotating area A will produce a volume V₁ identical a V₂, Obtained by rotating area B ( both around x-axis), then the whole volume V will be:
V = 2× V₁
V₁ = ∫π×y²×dx (1)
Now
( x - r/2)² + y² = r² the equation of circumference 1
y² = r² - ( x - r/2)²
Plugging this value in equation (1)
V₁ = ∫π×[ r² - ( x - r/2)²]×dx with integrations limits 0 ≤ x ≤ r/2
V₁ = π×∫ ( r² - x² + (r/2)² - r×x )×dx
V₁ = π× [ r²×x - x³/3 + (r/2)²×x - (1/2) ×r×x²] evaluate between 0 and r/2
V₁ = π× [(5/4)×r²×x - x³/3 - (1/2) ×r×x²]
V₁ = π× [(5/4)×r² × ( r/2 - 0 ) - (1/3)×(r/2)³ - (1/2) ×r×(r/2)²]
V₁ = π× [ (5/8)×r³ - r³/24 - r³/8]
V₁ = π× (11/24)×r³
Then
V = 2× V₁
V = 2×π×11/24)×r³
V = (11/12)×π×r³
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Create an equivalent expression for five eighths raised to the negative first power times forty-two hundredths raised to the second power.
a) (0.625)(0.42)2
b) eight fifths raised to the first power times the quantity one over forty-two hundredths raised to the second power
c) (1.6)(0.42)2
d) 0.11
The equivalent expression for five eighths raised to the negative first power times forty-two hundredths raised to the second power is option B
Exponential(5/8)^-1 × (0.42)^2
= {1 ÷ (5/8)¹} × 0.42²
= {1 × (8/5)¹} × 0.42²
= (8/5)¹ × 0.42²
Therefore, the equivalent expression is eight fifths raised to the first power times the quantity one over forty-two hundredths raised to the second power
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Answer:
(1.6) (0.42)^2 C
Step-by-step explanation:
I had originally put B, but my teacher explained and said its C.
the first part of b is correct where it says 8/5, bc you need to flip it in order to not have a negative exponent (you cant have a negative exponent as an answer) but 0.42 is correct and iit does not need to be fliped, since there is no (8/5)(0.42)^2 option, you need to make the 8/5 into a decimal, it becomes 1.6 and so the answer is C
What is the slope of the line that passes through the points (1,1) and (-1,5)
IM IN A HURRY PLEASE HELP ME QUESTION IS DOWN BELOW WORTH 15 POINTS each
If the radius of the circle is 5 m and angle subtended by arc LKM is 70° then the length of the arc LNM is 25.29 m.
Given that the radius of the circle is 5 m and angle subtended by arc LKM is 70°.
From the figure given we can estimate that the length of arc LNM can be circumference of circle subtracted by length of arc LKM.
Circulference of the circle is basically the length of whole arc of the circle. It is also know as perimeter of the circle. The formula of calculating circumference of a circle is 2πr in which r is the radius.
So,
length of arc LNM=Circumference of circle-length of arc LKM.
We know that length of an arc =Θr
in which Θ is the angle in radian.
length of arc=70*π\(/180*5\)
=70π\(/36\)
Circumference of circle=2π*5
=10π
Length of arc LNM=10π-70π\(/36\)
=(360π-70π)\(/36\)
=290π\(/36\)
Put π=3.14
=290*3.14\(/36\)
=910.6\(/36\)
=25.29m
Hence the length of arc LNM is 25.29 m.
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The graph represents the journey of a bus from the bus stop to different locations:
The title for the graph is Bus Journey. The label on the y-axis is Distance in miles, and the label on the x-axis is Time in hours. The graph shows 5 parts. The part labeled 1 is a smooth curve going up from the origin. The part labeled 2 is a straight horizontal line. The part labeled 3 is a smooth curve going up. The part labeled 4 is a straight horizontal line. The part labeled 5 is a smooth curve going down that touches the x-axis.
Part A: Use complete sentences to describe the motion of the bus in parts 1, 2, 3, 4, and 5 of the journey. (4 points)
Part B: In which parts of the graph is the function increasing, decreasing, and constant? (4 points)
Part C: Is the graph linear or non-linear? Explain your answer. (2 points)
Answer:
Part A is 100
Part B is 50
Part C is 25
all of it goes down by 15 so just keep subtracting
Step-by-step explanation:
I used common since and a sheet of paper
Help !! Pls :3:’dnmdnsnms
The congruent reason for the triangles is (b) HL theorem
How to determine the congruent statement?From the question, we have the following parameters that can be used in our computation:
Triangles = FGH and JHK
The SSS similarity theorem implies that the corresponding sides of the two triangles in question are not just similar, but they are also congruent
From the question, we can see that the following corresponding sides on the triangles:
Sides GH and HK
Sides FH and JK
These parameters are given in reasons (2) and (3) and it implies that these sides are congruent sides
For the triangle to be congruent by SSS, the following sides must also be congruent
GH must be congruent to HK
The above statement is true because point H is the midpoint of line GK
This is indicated in reason (2)
Hence, the congruent statement is SSS.
However, we can also make use of the HL theorem in (B)
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A college offers tutoring in Math, English, Chemistry, and Bio. The number of students enrolled in each subject is listed below. If the college can only afford to hire 13 tutors l, determine how many tutors should be assigned to each subject using Jefferson’s method.
We can see here that the modified divisor one can use is: 55.
What is Jefferson's method of apportionment?The Jefferson Method uses a divisor that ensures the right number of seats are allocated, preventing the issue of an apportionment that results in a surplus or a deficit of House seats.
We see here that finding standard divisor, we have:
295 + 275 + 155 + 55 = 795
Thus, standard divisor = 795/13 = 61.1538462
Modifying the divisor in order for us to get the total number of tutors, we reduce the standard divisor to 55.
Using 55 as modified divisor we have:
Math: 275 ÷ 55 = 5
English: 295 ÷ 55 = 5.36
Chemistry: 155 ÷ 55 = 2.8
Biology: 70 ÷ 55 = 1.27
Taking the first part of the decimals, we have:
5 + 5 + 2 + 1 = 13.
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Dan likes to go to the movies. He has budgeted $50 next month for the movie theater. It costs him $8.50 for a ticket each time he goes. What is the maximum number of times he can go to the movies next month?
one - step equation
-104 = 8x
please help I don't know and I have tried for an hour now.
Answer:
\( - 104 = 8x \\ x = \frac{ - 104}{8} \\ x = - 13 \\ thank \: you\)
Answer:
\(\boxed {\boxed {\sf x= -13}}\)
Step-by-step explanation:
We are asked to solve the following one-step equation.
\(-104 = 8x\)
We solve the equation by solving for x. We must isolate the variable by performing the inverse operation.
x is being multiplied by 8 (8x = 8*x). The inverse operation of multiplication is division. Divide both sides of the equation by 8. This eliminates the 8 on the right side of the equation so only x remains.
\(\frac {-104}{8}= \frac{8x}{8}\)
\(\frac {-104}{8}= x\)
\(-13=x\)
We can check our answer by substituting it back into the original equation.
\(-104= 8x\)
\(-104= 8(-13)\)
\(-104= -104\)
This checks out, so we know our answer is correct and x is equal to -13.
there are four balls in a bag, but it is not known of what colours they are ; one ball is drawn and found to be white : find the chance that all the balls are white.
So the chance of drawing a white ball in the first draw is 1/4 and the chance that all the balls are white is the same.
What is the straightforward meaning of probability?
A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
If one ball is drawn and found to be white, and it is not known of what colors the other balls are, the probability that all the balls are white is 1/4 or 25%. This is because there is only one outcome where all the balls are white (all four balls are white) out of the four total possible outcomes (all four balls are white, three are white and one is not, two are white and two are not, one is white and three are not, and none are white). So the chance of drawing a white ball in the first draw is 1/4 and the chance that all the balls are white is the same.
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Which is a greater fraction 2/5 or 1
1 is greater that 2/5
1>2/5
Answer:
1 is a whole number (an integer) and 2/5 is a proper fraction
Divide. Write your answer as a fraction or a mixed number in simplest form.
3 1
9- : 4
4 2
Answer:
2 4/25 hope that helped
Step-by-step explanation:
help please and thank you
Answer:
1) 9x
2) 3b
3) 3m
4) 5a
5) 7x
6) 3a + 5b
7) 9x - 4
8) 2b + m
9) 13a + b + 6c
10) 9b + 1
11) 7p
12) 2a + b -10
Step-by-step explanation:
This month my metro water services bill was $36.34 and my Madison Suburban Utilty District bill was $26.03. My total water bill was $
Total water bill for the month is $62.37.
It seems that you may have accidentally left out the total amount of your water bill.
The total amount by simply adding the amounts of the individual bills together:
Total water bill =\($36.34 + $26.03\)
= \($62.37\)
You have not provided enough information to determine your total water bill.
You have only given the amounts of your individual bills from Metro Water Services and Madison Suburban Utility District.
To find your total water bill, you simply need to add the two bills together.
So, the total amount you owe for water this month would be:
Total water bill = \($36.34 + $26.03\)
= \($62.37\)
It appears that you may have forgotten to include the full amount of your water bill by accident.
Simple addition of the separate bill amounts yields the following sum:
Water bill total = \($36.34 + $26.03\)
= \($62.37\)
Your total water bill cannot be calculated because not enough information has been given.
Only the amounts of your individual Metro Water Services and Madison Suburban Utility District bills have been provided.
You just need to combine the two invoices together to get your total water bill.
As a result, this month's total water bill for you would be:
Water bill total = \($36.34 + $26.03\)
= \($62.37\)
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Decide which of the two given prices is the better deal and explain why. You can fill a 12-gallon tank of gas for $39.43 or buy gas for $3.20/gallon.
Answer:
$3.20/gallon
Step-by-step explanation:
to fill up your tank at $3.20/gallon only costs $38.40
Select all the equations that match the diagram.
x+5=18
183=x+5
3(x+5)=18
x+5=1318
3x+5=18
The equatiοn that matches the diagram is 3(x + 5) = 18 and x + 5 = 1/3 · 18. Thus, option 3 and 4 are correct.
What is an equatiοn ?A mathematical equatiοn is a fοrmula that uses the equals sign (=) tο express the equality οf twο expressiοns. The meanings οf the wοrd equatiοn and its cοgnates in οther languages can vary slightly. Fοr instance, in French, an equatiοn is defined as having οne οr mοre variables, whereas in English, an equatiοn is any prοperly fοrmed fοrmula that cοnsists οf twο expressiοns linked by the equals sign.
Finding the values οf the variables that cause the equality tο hοld true is the first step in sοlving an equatiοn with variables. The variables fοr which the equatiοn must be sοlved are alsο referred tο as unknοwns, and the unknοwns' values that satisfy the equality are referred tο as the equatiοn's sοlutiοns.
There are three (x + 5) and it constitutes 18, i.e. 3(x + 5) = 18, option 3 is correct.
If you 3 from both sides, we get
x + 5 = 1/3 · 18, Option 4 is correct.
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x + 1 3/4 = 2 7/8 HELP ME PLSS
Answer:
x = 1.125
Step-by-step explanation:
Answer:
x + 1 3/4 = 2 7/8
x + (1 + 3/4) = (2 + 7/8)
8x = 9
x = 9 /8 = 1.125
Step-by-step explanation:
Autumn invested 2800 in a account paying an interest rate of 6.2% compounded monthly.Assuming no deposits or withdrawals are made how much money to the nearest ten dollars would be in the account after 8years
Answer:
4530.55
Step-by-step explanation:
2800 x 6.2% = 173.6
2800 + 173.6 = 3157.96
repeat this step 8 times because you need to find the money in the account after 8 years. Tell me if you need further explanation
A radioactive substance decreases 5.2% per hour. Initial value of the substance is 120 mg. Write an exponential function that is the amount of substance is the function of time
\(\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &120\\ r=rate\to 5.2\%\to \frac{5.2}{100}\dotfill &0.052\\ t=hours\\ \end{cases} \\\\\\ A = 120(1 - 0.052)^{t} \implies {\Large \begin{array}{llll} A = 120( 0.948 )^{t} \end{array}}\)
Kenya went to the convenience store to buy some snacks. She spent a total of
$12.00 on soda and candy. The soda cost $3.00 and each candy bar cost $1.50. If
Kenya bought one soda, how many candy bars did Kenya buy?
Answer:
6
Step-by-step explanation:
12
-3
----
9 divided by 1.50= 6
Kenya buy 6 candy bars.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
for example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Give:
Kenya spent a total of $12.00 on soda and candy.
The soda cost $3.00 and each candy bar cost $1.50.
Now, Money left after spending on Candy
= 12- 3
= $9
Now, number of candy bars Kenya buy is
= 9/ 1.50
= $6
Hence, Kenya buy 6 candy bars.
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