Use a linear equation to solve the word problem.
Two truck rental companies have different rates. V-Haul has a base charge of $75.00 , plus $0.50 per mile. W-Haul has a base charge of $69.10, plus $0.55 per mile. For how many miles would these two companies charge the same amount?
If a driver drives miles___________, those two companies would charge the same amount of money.

Answers

Answer 1

The equations are

[tex]\\ \tt\hookrightarrow y=0.50x+75[/tex]

[tex]\\ \tt\hookrightarrow y=0.55x+69.10[/tex]

x is no of miles

Now

[tex]\\ \tt\hookrightarrow 0.55x+69.10=0.50x+75[/tex]

[tex]\\ \tt\hookrightarrow 0.55x-0.50x=75-69.1[/tex]

[tex]\\ \tt\hookrightarrow 0.05x=5.9[/tex]

[tex]\\ \tt\hookrightarrow x=5.9/0.05[/tex]

[tex]\\ \tt\hookrightarrow x=118mi[/tex]


Related Questions

What are angles r? and G?
Please help (NO BOTS!)

Answers

Step-by-step explanation:

given:- M=35

to find :- r and g

r=90

m=35 let G be = x

m+r+g=180

35+90+x=180

125+x=180

x=180-125

x=55

hope this helps you

have a nice day :)

if 6 pennies are in each pile, how many pennies are in nine piles?

Answers

Answer:

54

Step-by-step explanation:

6 pennies per pile x 9 piles = 54 pennies

Answer:

54 pennies

Step-by-step explanation:

6 pennies = 1 pile

6 x 9 = 54

What is the the fraction 1 over 500 as a decimal?

Answers

Answer:

What is 1/500 as a decimal? To write 1/500 as a decimal you have to divide numerator by the denominator of the fraction. So the answer is 0.002

Step-by-step explanation:

Im smart lol

Answer:

0.002

Step-by-step explanation:

I hope this helps!!!

Brainliest?

one gram of sand approximately weighs 7x10^-5g.

how much grains of sand are there in 6300kg of sand?
give your answer in standard form.

Answers

Answer:

6.3 x 106 ÷ 7 x 10-5 = 0.9 x 1011 or 9 x 1010

Step-by-step explanation:

round 976,00 to the nearest 100

Answers

I believe that should still be 97,600

(If you just forgot the extra zero, the answer would be 976,000)

(Brainliest please)

Y=x+16
X^2+y^2=128
Find the intersection of the line and the circle

Answers

Answer:

(-8, 8)

Step-by-step explanation:

Plug in the y from the top equation into the y of the bottom equation

x² + (x + 16)² = 128

x² + x² + 32x + 256 = 128

Subtract 128 from both sides to make it equal to zero

2x² + 32x + 256 = 128

                 - 128    - 128

2x² + 32x + 128 = 0

Divide both sides by 2

(2x² + 32x + 128)2 = 0/2

x² + 16x + 64 = 0

Factor the equation

(x + 8)(x + 8) = 0

We see that x will have to be -8 for it to equal zero

so x = -8

Plug the new x into one of the original equations; let's use the top one

y = -8 + 16

y = 8

Sector Area Lvl 1: In circle F with m

Answers

Answer:

75.01 sq units

Step-by-step explanation:

Here,

[tex]\theta=m\angle EFG=86\degree[/tex]

[tex]r=EF=10\: units [/tex]

[tex]Area\: of \:sector= \frac{ \theta}{360 \degree} \times \pi \: {r}^{2} \\ \\ = \frac{ 86 \degree}{360 \degree} \times 3.14\: {(10)}^{2} \\ \\ = \frac{86 \times 314}{360} \\ \\ = 75.01 \: {units}^{2} [/tex]

what is -5/2 divided by 5/7

Answers

Step-by-step explanation:

1) -5/2 = -2.5

2) 7/5 = 1.4

-2.5 ÷ 1.4 = -1.785....

Hope this helps!

Let's go shopping! Jack spent $64 less than 4 times what Annie spent. Jack spent $100. . Write and solve an equation to find how much Annie spent. Annie spent​

Answers

Step-by-step explanation:

Substitute X for the amount Annie spent

4x-$64 = 100

4x = $164

x = $164/4

x = $41

The point D(4,

6) is rotated 180° clockwise around the origin. What are the coordinates of the resulting point, D'?

Answers

Answer:

(-4,-6)

Step-by-step explanation:

If your point D were to start at (4,6), the first 90° clockwise rotation would have the point land on (4,-6), the second would have point D land on (-4,-6).  A faster way to do this without making 2 90° clockwise rotations, is you flip it diagonally across the center point, if the center point is 0, you would flip both signs (positive would become negative and the other way around).

The rotation of point about 180 degree is D(4, 6)----> D'(4, -6).

What is Transformation?

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

We have,

The points D(4, 6).

We know the rule for 180 degree rotation is

(x, y) ----> (x, -y).

So, the rotation of point about 180 degree is

D(4, 6)----> D'(4, -6).

Learn more about Transformation here:

https://brainly.com/question/13801312

#SPJ2

a
Johnny throws a football off the balcony to his buddy on the ground. The
position of the ball in the air can be modeled by the equation
16t2 + 176t + 192 , where t represents the time and y represents the
height above the ground.
b.) How high does the football go in the air?

Answers

Answer:

Johnny ‎football ‎balcony ‎176t +

Step-by-step explanation:

Using the slope​ formula, find the slope of the line through the points (0,0)and(4,12)

Answers

Answer:

M= 3

Step-by-step explanation:

m= 12/4 = 3

Since the other points are 0

Help pls …..———
:….—-

Answers

Answer:

a/

36s ~ 360º

1s ~ ?

so 1 * 360 / 36 = 10º

b/

36*3/4=27s (closest)

36*1/4=9s (farthest)

c/

20ft

Answer:

a) 10°

b) closest:  27 seconds

farthest: 9 seconds

c) 20 ft

Step-by-step explanation:

a) Angles around a point add up to 360°, therefore 1 rotation = 360°

If it makes one rotation in 36 seconds, then there are 10° per second as  360/36 = 10

b) closest to wall:  this will be a 3/4 rotation:

3/4 of 36 seconds = 0.75 x 36 = 27 seconds

farthest from wall:  1/4 rotation:

1/4 of 36 = 0.25 x 36 = 9 seconds

c) 18 seconds is half of 36 seconds.  Therefore, you will have made a 1/2 rotation.  So you will be on the same horizontal plane as the start position, but on the opposite side of the circle (see attached diagram).

Therefore, you will be 20ft away from the wall (shown in blue).

Amal used the tabular method to show her work dividing –2x3 + 11x2 – 23x + 20 by x2 – 3x + 4.
Amal’s Work:


Amal’s answer:

Which statement about Amal’s work is true?
Amal’s work is correct.
Amal’s work is incorrect the wrong divisor is on the right side of the division table.
Amal’s work is incorrect because it includes a positive two instead of negative two in the answer.
Amal’s work is incorrect because the like terms in the division table do not simplify to the original polynomial.

Answers

Answer:

idrk math but this asked me to give an answer so there lol

Use the Associative Property to find the value of the variable.

(8 x 15) x s = 8 x (15 x 11)

Answers

Answer:

11

Step-by-step explanation:

8 times 15 is 120 then you multiple it to s which is 120s then you multiple 15 and 11 then 8 which is 1320 and then you divide 1320 with 120 then you get 11 as your answer

Answer:

11

Step-by-step explanation:

3 over 8 by x
Solve "x"
A: 5 over 64
B: 5 over 9
C: 1 over 6
D: 3 over 4

Answers

Answer: 1 is correct

2 is correct

3 is correct

4 is correct

5 is correct

6 is correct

7 is correct

8 is wrong it should be because you wouldn't add you would subtract it and the other number is negative so it would be x=-26

9 is correct

10 is correct

13 is correct

14 I think is correct

I think 15 is incorrect because if he says one less than twice the number of last year then I think you first should subtract 1 from 25 and then divide by 2 this would give you  17 packages

and I think 16 is correct too.

Hope this helped

Step-by-step explanation:

please answer this aces and experts and if you just spam words as a answer i will report you to a moderator

Answers

Answer:

C. [tex]\frac{1}{3}y-\frac{7}{5}x+\frac{2}{3}-\frac{2}{3}y-\frac{4}{9}[/tex] matches with [tex]-\frac{2}{3} y -\frac{3}{5} x+\frac{2}{9} -\frac{4}{5} x+\frac{1}{3} y[/tex]

Step-by-step explanation:

[tex]-\frac{2}{3} y -\frac{3}{5} x+\frac{2}{9} -\frac{4}{5} x+\frac{1}{3} y[/tex]

[tex]-\frac{3}{5}x+\frac{2}{9}-\frac{4}{5}x=-\frac{7}{5}x+\frac{2}{3}-\frac{4}{9}[/tex]

[tex]-\frac{3}{5}x+\frac{2}{9}-\frac{4}{5}x=\frac{2}{9}-\frac{7}{5}x[/tex]

[tex]-\frac{3}{5}x-\frac{4}{5}x=-\frac{7}{5}x[/tex]

[tex]-\frac{3}{5}x-\frac{4}{5}x+\frac{7}{5}x=-\frac{7}{5}x+\frac{7}{5}x[/tex]

[tex]0=0[/tex]

matched coefficients of x and y, therefore found the answer.

the sames line on the graph has how many solutions

Answers

Answer:

The same lines have infinite many solutions.

Step-by-step explanation:

Hope that helps!

Solve 4p^2 – p=0.
p=____, p=_____

Answers

Answer:

p= 0

p= 1/4

............

Determine the quadrant and the coordinates of the given points.

Give the answers of Point A-J

Answers

A(-4,1)

B(1,-3)

C(0,2)

D(5,0)

F(-4,-5)

G(0,-4)

H(2,4)

Answer:

Point A

In quadrant 2 points : (-4,1)

point B

In quadrant 4Points : (1,-3)

Point C

In quadrant 1Point : (0,2)

Point D

In quadrant 1Point : (5,0)

Point F

In quadrant 3Points: (-4,-5)

Point G

In quadrant 3 Points: (0,5)

Point H

In quadrant 1Point: (2,4)

Point J

In quadrant 4points : (5,-2)

Your Welcome~  :)

(Couldn't see the Point E)

Scale factor of S to T is 4:1 FIND Y

Answers

10/Y =4/1
Then to get y :
You will use cross multiplication , so it will be 4Y=10
Divide 4 on both sides
10/4 = 2.5

The sum of Kyra's and Caleb's ages is 37. Caleb's age is equal to twice the quantity of Kyra's age decreased by 4. Let k represent Kyra's age.



Complete each expression to represent the situation.



Kyra's age: , 1 of 3.
Select Choice
years



Caleb's age: , 2 of 3.
Select Choice
(k − , 3 of 3.
Select Choice
) years

Part B
Add the two expressions and set this sum equal to 37 to model the situation with an equation. Solve for k. How old is Kyra?

Answers

Based on the given conditions, formulate:
Rearrange unknown terms to the left side of the equation:
Combine like terms:
Calculate the sum or difference:
Divide both sides of the equation by the coefficient of variable:
Answer: k=41/3

20 points
PLS Help ;0

Answers

A) (x+12) + (5x) = 180
B) <1= 38. <2=130

_________ blank means that, everything else being equal, each time one takes the drug one increases slightly the probability that he or she will take it again.

Answers

Answer:

Reinforcement

7x- 3(x- 6) = 30
A. X=3
B.x=9
C.x=6
D.x=12

Answers

Answer:

x=3

Step-by-step explanation:

1. Simplify the expression

7x-\left(3\cdot\left(x-6\right)\right)=30

Solve by distributing:

7x-\left(3x+3\cdot-6\right)=30

Simplify the arithmetic:

7x-\left(3x-18\right)=30

Expand the parentheses:

7x-3x+18=30

Simplify the arithmetic:

4x+18=30

A. x=3 I know this bc I took the test

Euclid Street is parallel to Lambert Street. City Hall is
located between the streets. From City Hall, a straight
road leads to Euclid Street, intersecting it at a 51°
angle. Another straight road leads to Lambert Street,
intersecting it at a 37° angle. Find X. EXPLAIN and
show your method.

Answers

Answer:

  88

Step-by-step explanation:

Imagine a line through City Hall parallel to the given streets. The angle between that and the path to Euclid Street is 51°, congruent with the alternate interior angle marked 51°.

The angle between our imaginary line and the path to Lambert Street is 37°, congruent with the alternate interior angle marked 37°.

The value of x° is the sum of those two angles:

  x° = 51° +37°

  x = 88

__

Alternate solution

If you extend the path to Euclid Street until it intersects Lambert Street, the alternate interior angle theorem tells you the angle it makes with Lambert Street is 51°. The angle x° is an external angle to the triangle that now has 51° and 37° as remote interior angles. As such, x is the sum of 51 and 37:

  x = 51 +37 = 88

What is the range of g(x)?

1.all real numbers
2. All real numbers less than 0
3. All real numbers greater than 0
4.all real numbers less than or equal to 0

Answers

Answer:

2

Step-by-step explanation:

I just need for the points

Write the expression in descending order of y: y^3-y+6-7y^2​

Answers

Answer:

Step-by-step explanation:

a triangle is equal in area to a rectangle which measures 10 cm by 9 cm if the base of the triangle is 12 cm long find its altitude

Answers


Area of rectangle = 9cm*10cm=90cm^2
Area of triangle = 90cm^2
Altitude= 90\0.5*12= 15cm

-Brainliset pls help :)

Answers

Answer:

D

Step-by-step explanation:

A recursive formula lets us calculate a term in the sequence by multiplying the previous term by the common ratio r

for the sequence

- 3, 9 , - 27 , 81....

the common ratio r is

r = 9 ÷ - 3 = - 27 ÷ 9 = 81 ÷ - 27 = - 3

Then the recursive formula is

f(n) = - 3 f(n - 1) if n > 1

f(1) = - 3

option D

Answer:

D)

Step-by-step explanation:

A recursive formula always has two parts: the value of an initial term (or terms), and an equation defining [tex]a_n[/tex]​​ in terms of preceding terms.

From inspection, the initial term is -3

[tex]\implies a_1=-3[/tex]

[tex]\implies f(1)=-3[/tex]

From inspection, we can see that each term is the preceding term multiplied by -3.  Therefore, the sequence can be defined as:

[tex]a_n=-3(n-1)[/tex]

[tex]\implies f(n)=-3f(n-1)[/tex]

So the recursive formula for the sequence is D)

[tex]f(n)=\left \{ {{f(1)=-3} \atop {f(n)=-3f(n-1)}} \right.[/tex]

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