Use the table shown in the image! 1. Which equation expresses “y” in terms of “x”? A. y=17x B. y=25x C. x=51y D. x=85y 2. What is the charge for renting a machine for 3.5 hours? A. $51.50 B. $59.50 C. $65.50 D. $86.50
Please include all work!
Answers
Answer: 1. A. y=17x
2. $59.50
Step-by-step explanation:
1. In the table , it can be seen that as x increases y increases with the proportionality constant k = [tex]\dfrac{y}{x}=\dfrac{51}{3}=\dfrac{85}{5}=\dfrac{119}{7}=17[/tex],.
Equation of direct variation between x and y : [tex]y=kx[/tex]
Put k= 17 , we get
[tex]y=17x[/tex] , which is the required equation.
So correct option is "A".
2. To find : The charge for renting a machine for 3.5 hours.
Put x= 3.5 in above equation , we get
[tex]y=17(3.5)=59.5[/tex]
Hence, the charge for renting a machine for 3.5 hours is $59.50.
So correct option is "B".
Related Questions
The graph of f(x) = xx is reflected across the x-axis and then across the y-axis to create the graph of function g(x).
Which statements about the functions f(x) and g(x) are true? Check all that apply.
The functions have the same range.
The functions have the same domains.
The only value that is in the domains of both functions is 0.
There are no values that are in the ranges of both functions.
The domain of g(x) is all values greater than or equal to 0.
The range of g(x) is all values less than or equal to 0.
Answers
Answer:C and F are correct
Step-by-step explanation:
got it right on edge
PLZZ HELPP!! On Tony's map, the distance from Saint John, NB to St. John's, NL is 21 cm. The actual distance between these two cities is 1050km. What is the scale of Tony's map?
Answers
Answer:
1/5 000 000
Step-by-step explanation:
1050km is equal to 105 000 000cm
105 000 000 ÷ 21= 5 000 000
So the scale is 1/5 000 000.
plsssssss help me!!!!!!!!!!!!!!!!!!!!!!! it is recommended that for every 8 square feet of surface, a pond should have 2 fish. a pond that has a surface of 72 square feet should contain how many feet?
Answers
Find the measure of a A. 44 B. 88 C. 46 D. 90
Answers
====================================================
Explanation:
Since we have a circle, the segments extending from the center outward to the edge of the circle are radius segments. Any two radii of the same circle are the same length. The triangle on the left with the 92 degree angle is isosceles. Any isosceles triangle has exactly two side lengths that are the same, which leads to the base angles being the same as well.
For the triangle on the left with angles a,b,92, the base angles are 'a' and 'b'. So a = b.
For any triangle, the angles add to 180
a+b+92 = 180
a+a+92 = 180 ... Replace b with 'a'
2a+92 = 180
2a = 180-92
2a = 88
a = 88/2
a = 44
angle b is also 44 as well
a+b+92 = 44+44+92 = 180
PLS PLEASE HELP!!!!!!
Evaluate 18 + 4 ÷ 2 − 8. (5 points) 2 8 12 3
Answers
18 + 4 ÷ 2 − 8
Following PEDMAS, divide first:
18 + 2 -8
Now add and subtract to get the final answer:
18+2 = 20
20-8 = 12
The answer is 12
Answer:
12
Step-by-step explanation:
Find the total cost, to the nearest cent, for a sweater that costs $22.95 with an additional 5.5% sales tax. Show your work.
Answers
Answer:
22.95×1.055≈$24.21
22.95* 1.055= 24.21
Find the measure of the remote exterior angle. m∠x=(197−5n)°m∠y=(6n+22)°m∠z=(n+7)°
Answers
Answer:
x=127°
Step-by-step explanation:First you have to solve for n and to do so you have to add the interior angles together and equal them to the remote exterior angle.
n+7+6n+22=197-5n
12n+29=197
12n=168
n-14
once you get n you have to plug it into 197-5n
197-5(14)
197-70
127
The required value of exterior angle m∠x is 127.
From figure x is remote exterior angle m∠x=(197−5n)°. and y and z are interior angles m∠y=(6n+22)° and m∠z=(n+7)° respectively. value of x to be determine.
Angle made at outer side of the corner is called exterior angles.
Here, by properties, sum of the interior angle = remoter exterior angle
So,
m∠x = m∠y + m∠z
197−5n = 6n+22+n+7
168 = 12n
n = 14
put n in m∠x
m∠x=(197−5n)°
m∠x=(197−5*14)°
m∠x=(197−70)°
m∠x=127°
Thus, the required value of exterior angle m∠x is 127.
Learn more about exterior angles here:
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PLEASE HELP ME!!!!!!!!!!!!
Answers
Answer:
1. 4, 4, 6, 8
2. 5, 11, 3, 1
3. 11, 27, 111
4. [tex]16\sqrt{14}-31[/tex]
5. [tex]20\sqrt{2}-56[/tex]
Step-by-step explanation:
For the tables remember that after you solve any negative number will turn positive
For 4-5 just plug in what is in the parenthesis into x and solve
2. 5,11,3,1
3. 11, 27, 111
__
4. 16\|14 -31
___
5. 20\|2 - 56
What is the length of AC
Answers
(156 - x)/12 = x
12x = 156 - x
13x = 156
x = 12
AC = 156 - 12
AC = 144
Answer:
|AC| = 144
Step-by-step explanation:
The larger triangle (on the left) and the smaller one (on the right) are similar.
Therefore the following equation of ratios is correct:
x 7
---------- = ---------
156 - x 84
Then 84x = 7(156) - 7x, or
91x = 1092, or x = 12
Then the length of AC is 156 - x, or 144
A circle has a radius of 26.85 inches. What is the circumference of this circle? Use 3.14 for pi. Round your final answer to the nearest tenth. Enter your answer as a decimal in the box. the first choose dropdown has :0.25 and 4 then is the scale factor an enlargement or not THE TRIANGLE ON THE LEFT IS 1.5 AND THERE IS AN ARROW GOING INTO A BIGGER TRIANGLE THAT IS 6
Answers
Answer:
Step-by-step explanation:
Circumference of the circle = 2 x pi x r
= 2 x 3.14 x 26.85
= 168.618 Inches
after rounding to nearest tenth, 168.6 inches
Answer:
168.6 inches
Step-by-step explanation:
The formula for finding the circumference of a circle is:
[tex]\pi r2[/tex] (Basically multiplying [tex]\pi[/tex] by the diameter since the radius is half the diameter)
Let's substitute and solve!
3.14(26.85 × 2) =
3.14 × 53.7 =
168.61800............but if we round to the nearest tenth, it will be 168.6 inches!
Hope that helps and maybe earns a brainliest!
Have a great day! > <
U
A shipping container in the shape of a rectangular prism is 60 feet long, 45 1/2 feet wide, and 14 feet tall. What is the volume of the shipping container? A. 2,400 ft.^3 B. 2,730 ft.^3 C. 38.220 ft.^3 D. 76,440 ft.^3 Please include work!!
Answers
Why you ask? Good question, how you solve volume is l•w•h=v (length•width•height=volume) so it was 60•45.5•14=38,200
Hope this helps!
You multiply the width, height, and length.
Width= 45 1/2
Height= 14
Length= 60
45 1/2•14•60= 38,220
if alan had bought a figure at a discount of 5%, he would pay $20 less. How much would he pay if he had bought it at a discount of 20%
Answers
Answer:
80
Step-by-step explanation:
5%-->20% is increased by x4, therefore you multiply 20 by 4 which is 80 or you can set an proportion
5/20=20/x5x=400x=80The first step in solving this is hidden in the sentence “discount of 5%, he would pay $20 less”. This informs us that 5% of the price and $20 are the same
Our next step is to find how much 100% of the price is
Multiplying 5 and 20 gets us 100, so multiplying 5% by 20 will get us 100%
We already know that 5% is $20, so we can multiply $20 by 20 to get to 100% percent of the price
(20*20=400)
Now that we know the total price, we can find a discount of any percent. Since we know that a five percent discount will give you $20 dollars off, we can deduce that a 20% discount will give us $80 off.
(20/5=4)
(4*20=80)
(400-80=320!)
Hopefully this helps, if you need me to explain anything again I’ll try my best!
Find the distance between the points P and Q shown. Question 6 options: A. 73−−√ B. 13−−√ C. 5–√ D. 65−−√
Answers
Answer:
[tex]d=\sqrt{73}[/tex]
Step-by-step explanation:
[tex]Q(5, -1)[/tex]
[tex]P(-3, 2)[/tex]
Using the distance formula:
[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_2+y_1)^2}[/tex]
[tex]d=\sqrt{(-3-5)^2+(2-(-1))^2}[/tex]
[tex]d=\sqrt{(-8)^2+(3)^2}[/tex]
[tex]d=\sqrt{64+9}[/tex]
[tex]d=\sqrt{64+9}[/tex]
[tex]d=\sqrt{73}[/tex]
[tex]d\approx 8.5[/tex]
Nine and one-half less than four and one-half times a number is greater than 62.5. Which of the following represents the solution set of this problem?
(16, positive infinity)
(Negative 16, positive infinity)
(Negative infinity, 16)
(Negative infinity, Negative 16)
Answers
Answer:
{16, +infinity}
Step-by-step explanation:
Represent the number with n
Required
Find the solution set
From the question, we have that;
4½n - 9½ > 62.5
Convert all numbers to decimal
4.5n - 9.5 > 62.5
Add 9.5 to both sides
4.5n - 9.5 + 9.5 > 62.5 + 9.5
4.5n > 72
Multiply both sides by 2
2(4.5n) > 72 * 2
9n > 144
Multiply both sides by ⅑
⅑ * 9n > 144 * ⅑
n > 16
This implies that n ranges to infinity from positive 16;
Hence, the correct answer is {16, +infinity}
How is 30% equivalent to 1.3?
Answers
Answer:
30% = 30/100 = 0.3
1.3 would be 130%
I hope this helps you!
30% is equivalent to 0.30 or 3/10, but not 1.3.
There seems to be an error in the statement that 30% is equivalent to 1.3. That is not correct.
To clarify, 30% is equivalent to the decimal value 0.30 or the fraction 3/10.
To convert a percentage to a decimal, we divide the percentage value by 100. In this case, 30 divided by 100 equals 0.30.
If you were looking for a value that represents a 30% increase or an amount including a 30% addition, you would multiply the original value by 1.3, not 30%. For example, if you have a value of $100 and want to increase it by 30%, you would multiply $100 by 1.3, resulting in $130.
So, 30% is equivalent to 0.30 or 3/10, but not 1.3.
Learn more about percentage here
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If you have a problem that has multiple variables, you can solve it using a
system of equations. Think of a real-world example where you would need
to solve using a system of equations. Write two or three sentences
describing your example. Include the equations in your description, but do
not solve the system. That will be left to your classmates. helppppp
Answers
Step-by-step explanation:
two times of a number added to 18 gives 70
what is value of X.
2x + 18 = 70
2x = 52
X = 26 is answer
can u talk to me in comment section
The system of equations representing the described condition will be [tex]x+y=15\;and \;2x+4y=40[/tex].
A variety of problems can be solved using the system of equations.
Consider a simple problem of purchasing notebooks and pens from the market.
You bought some pens at $2 per pen and some notebooks at $4 per notebook from the market. At the end of shopping, you have spent $40 and you got 15 objects in your bag.
Write the given situation in the form of equations.
Let x be the number of pens bought and y be the number of notebooks bought.
So, the equations can be made as,
[tex]x+y=15\\2x+4y=40[/tex]
Therefore, the system of equations representing the described condition will be [tex]x+y=15\;and \;2x+4y=40[/tex].
For more details, refer to the link:
https://brainly.com/question/12895249
i’ll mark you brainliest, please show work!! i’ll also give more points
Answers
Answer:
414
Step-by-step explanation
80+10hrs=230
23bacteria:1hr
414bacteria:18hrs
WILL GIVE BRAINLY PLEASE HELP!!!!A rectangle has a length that is 5 inches greater than its width, and its area is 104 square inches. The equation (x + 5)x = 104 represents the situation, where x represents the width of the rectangle.
The first step in solving by factoring is to write the equation in standard form, setting one side equal to zero. What is the equation for the situation, written in standard form?
x2 – 99 = 0
x2 – 99x = 0
x2 + 5x + 104 = 0
x2 + 5x – 104 = 0
Answers
Answer: x2 + 5x – 104 = 0
Step-by-step explanation:
Distribute the x into the x + 5 to make it x2 + 5xSubtract 104 from the other side to set the equation equal to zeroFinal answer is x2 + 5x – 104 = 0Math Question (10 Points):
Answers
Answer:
A
Step-by-step explanation:
Becuase It expands the (2+4)8=2*8+8*4=6*8=48
Hope this helps! <3
Help me ASAP for this picture
Answers
Solution: Multiple 16 by 3/4.
12
A power line stretches down a 400-foot country road. A pole is to be put at each end of the road, and 1 in the midpoint of the wire. How far apart is the center pole from the left-most pole?
Answers
Answer:
200 ft
Step-by-step explanation:
Since the road is 400 ft, the midpoint of the road is 200 ft from each end of the road.
What is 3 divided by 2,127
Answers
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Hi my lil bunny!
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[tex]3\ \div \ 2127[/tex]
[tex]= \frac{1}{709}[/tex] (Decimal: 0.00141)
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If this helped you, could you maybe give brainliest..?
❀*May*❀
Plzz help I’ll mark brainliest
Answers
Answer:
c
Step-by-step explanation:
the correct answer is c
plz mark me brainliest
Given quad overline{PQ}\perp\overline PQ ⊥ PS start overline, P, Q, end overline, \perp, start overline, P, S, end overline \qquad m \angle QPR = 7x - 9^\circm∠QPR=7x−9 ∘ m, angle, Q, P, R, equals, 7, x, minus, 9, degrees \qquad m \angle RPS = 4x + 22^\circm∠RPS=4x+22 ∘ m, angle, R, P, S, equals, 4, x, plus, 22, degrees Find m\angle QPRm∠QPRm, angle, Q, P, R: Solve for PQR and x. PLZ HELP
Answers
Answer: Khan Academy 2020! The answer is 40!
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
The parallelogram shown below has an area of 120 units^2 . Find the missing height.
Answers
Answer:
Step-by-step explanation:
133
Please someone help me
Answers
Answer:
r = 0.046212737
Step-by-step explanation:
A = 14,400 (what your investment originally is)
P = 7,200 (what you want your investment to be)
n = 365 (interest is compounded daily)
t = 15 (15 years)
Plug all of these numbers into the equation, then solve for r
14,400 = 7,200(1 + r/365)^365 · 15
Divide 7,200 on both sides --> 2 = (1 + r/365)^365 · 15
365 · 15 = 5475 --> 2 = (1 + r/365)^5475
5475√(2) = 1 + r/365 (root 5475 both sides to cancel out the exponent)
(5475√(2)) - 1 = r/365 (subtract one from both sides)
((5475√(2)) - 1) · 365 = r (multiply both sides by 365 to isolate r)
Type the left side into the calculator to get r --> 0.046212737.
Hope this helps!
The answer is r= 0.046212737
These cones are similar. Find the surface
area of the smaller cone. Round to the
nearest tenth.
Answers
Answer:
33.3
Step-by-step explanation:
22% of $900 = twenty two percent of $900 =
Answers
━━━━━━━☆☆━━━━━━━
▹ Answer
$198
▹ Step-by-Step Explanation
[tex]\frac{22}{100} * 900\\\\\frac{22}{1} * 9 = \frac{198}{1} \\\\= 198[/tex]
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Answer:
198
Step-by-step explanation:
22% of 900
22% * 900
Change to decimal form
.22 * 900
198
A triangle has an area of 369.25 square inches. The height of the triangle is 42.2 inches. What is the length of the base of the triangle? A. 17.5 in. B. 35 in. C. 42.7 in. D. 56 in. Please include all work.
Answers
Answer:
A. 17.5 in.
Step-by-step explanation:
The formula for the area of a triangle is 1/2 * (b * h), where h represents the height and b represents the base. We can solve from reverse using area/height = base*2
369.25/42.2 = 8.75
1/2base = 8.75
base = 8.75 * 2
base = 17.5
Answer:
369.25/42.2 = 8.75
1/2base = 8.75
base = 8.75 * 2
base = 17.5
hope I helped you
TELL ME THE FORMULA FOR VOLUME AND SURFACE AREA OF PRISMS
Answers
Answer:
surfacevolume = 1/2 (bh) l
surfacearea = bh + pl
