Joe will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $51.98 and costs an
additional $0.17 per mile driven. The second plan has an initial fee of $59.98 and costs an additional $0.13 per mile driven. How
many miles would Joe need to drive for the two plans to cost the same?

[tex]\bold{\huge{\blue{\underline{ Solution }}}}[/tex]

Ellis bought total 24 soda cans but in packs

Each pack contain 6 cans

Therefore,

Total packs bought by Ellis

[tex]\sf{ = }{\sf{\dfrac{ 24}{6}}}[/tex]

[tex]\sf{ = 4 \: packs }[/tex]

Ellis bought 4 packs of soda cans

So,

Total cost paid by the Ellis

[tex]\sf{ = 4 {\times}{\pounds} 1.80 }[/tex]

[tex]\sf{ = {\pounds}7.20 }[/tex]

Thus, The total cost paid by Ellis is £7.2

Connor also bought 24 cans of soda but in packs

Each pack contain 8 soda cans

Total packs bought by Connor

[tex]\sf{ = }{\sf{\dfrac{ 24}{8}}}[/tex]

[tex]\sf{ = 3 \: packs }[/tex]

Connor bought 3 packs of soda cans

So,

Total cost paid by the Connor

[tex]\sf{ = 3 {\times}{\pounds}2.10 }[/tex]

[tex]\sf{ = {\pounds}6.30 }[/tex]

Thus, The total cost paid by connor is £6.30

From Above we can conclude that,

That is,

Ellis had to pay more than connor by

[tex]\sf{ = 7.20 - 6.30 }[/tex]

[tex]\sf{ = {\pounds}0.90}[/tex]

Hence, Ellis paid more than connor by £0.90.

The numbers of new CDs is 30 and the old CDs is 21.

To solve this problem, we have to write a system of equations in which we would know the numbers of each types of CD she bought.

This is used to solve a series or complex of word problems in which we can represent in a mathematical statements;

The equations can be represented as

[tex]n + u = 51 ...equation(i)\\15n + 6u = 576 ... equation(ii)[/tex]

Let's take equation (i)

Making n the subject of formula

[tex]n + u = 51\\n = 51 - u...equation(iii)[/tex]

we can put equation (iii) into equation (ii)

[tex]15n + 6u =576\\n = 51 - u\\15(51 - u) + 6u = 576\\765-15u + 6u = 576\\collect like terms\\765-576=15u - 6u\\189=9u\\9u/9 = 189/9\\u = 21[/tex]

Let's put the value of u into equation (i)

[tex]n + u = 51\\u = 21\\n + 21 = 51\\n = 51 - 21\\n = 30[/tex]

From the calculations above, the numbers of new CDs is 30 and the old CDs is 21.

Learn more on system of equations here;

https://brainly.com/question/13729904

Answer:

[tex]3x^4+4x^3+8x[/tex]

Step-by-step explanation:

[tex](x^2+2x)(3x^2-2x+4)\\\\(x^2)(3x^2)+(x^2)(-2x)+(x^2)(4)+(2x)(3x^2)+(2x)(-2x)+(2x)(4)\\\\3x^4-2x^3+4x^2+6x^3-4x^2+8x\\\\3x^4+4x^3+8x[/tex]

Answer:

1. 1.25 or 1 1/4

2. 4.8 or 4 4/5

3. 15 and 5

4.D

5. 1 1/4

Answer:

1. 1.25 or 1 1/4

2. 4.8 or 4 4/5

3. 15 and 5

4.D

5. 1 1/4

Step-by-step explanation:

I am pretty sure this is it!

Answer:

yess something i did recently

Step-by-step explanation:

-48/192=-1/4

Answer:

the answer to the first one is 118 the value of x is 113

Step-by-step explanation:

SOMEONE DELETED MY ORIGINAL ANSWER

The two angles will be linear pairs if the sum is 180° therefore,linear pair of 62° is 118° so option [A] is correct.

The value of x in the figure is 113° so option [C] is correct.

The m∠EXD and m∠AXE are the supplementary angles so option (B) is correct.

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

01)

Two angles will be linear pairs if their sum is 180°.

If the first angle is 62° then the second will be 180° - 62° = 118°

Hence "The two angles will be linear pairs if the sum is 180° therefore, linear pair of 62° is 118°".

02)

The angle x is in the same line with supplementary angle 67° so

x = 180 - 67 = 113°.

Hence "The value of x in the figure is 113°".

03)

In the figure, AXD is a straight line, therefore,

m∠EXD +  m∠AXE  = 180°

Since the sum of two angles is 180° then they are called supplementary angles.

Hence "The m∠EXD and m∠AXE are the supplementary angles".

For more about the angle,

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Answer:

If factors are only rounded up, then the estimate is an overestimate. If factors are only rounded down, then the estimate is an underestimate. If factors are rounded up and down, it is more difficult to determine whether the estimate is an overestimate or an underestimate.

Answer:

the over

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

Let x be "the number."  

"Three times a number" means 3x

"is 24 less than the number" means = x-24

Put them togehter:

3x = x-24

2x = -24

x = -12

Check:  Is 3(-12) = 24 less than -12?  YES.

Answer:

Question 8:

2(12x+9y)

Question 9:

2(x+3)+2

Step-by-step explanation:

I hope this helps

Step-by-step explanation:

formula area of rectangle= 1/2 × h × b

area of the triangle

[tex] \frac{1}{2} \times 15 \times 8 = 60[/tex]

Answer:

5572.45

Step-by-step explanation:

the formula to calculate the colume of a sphere is (4/3)πr², where r is the radius of the sphere.

to find r (radius):

- divide the diameter by 2 because d = 2r, where d is the diameter and r is the radius

r = 22/2

= 11 in

to find volume of the globe:

- substitute r = 11 into (4/3)πr³

v = (4/3)π(11)³

= 5324π/3

≈ 5575.27976 in³

hence, the best approximation of the globe is 5572.45 in³.

We have that what the bank account hold in 2017  is mathematically given as

T=179.986

Simple interest is a simple way of forecasting and having a view of futuristic values.

Question Parameters:

An account is gaining value at a rate of 4.94% per year.

The account held $113 in 2005.

What will the bank account hold in 2017?

Generally the equation for Simple interest   is mathematically given as

S=(P*R*T)/(100)

Therefore

S=(113*4.94*12)/(100)

S=$66.986

Therefore

after 12 years

T=113+66.986

T=179.986

For more information on Arithmetic visit

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Answer:

1. No, the shape has changed its size so it cannot be congruent.
2. Yes, shape was rotated but stayed the same shape and size so they are congruent.

Answer:  8238.75

Work Shown:

i = P*r*t

i = 25350*0.065*5

i = 8238.75

Answer:

He paid $6591 on his car loan

Answer:

tn=a+(n-1)d

a=2

d=2 so

tn=2+(n-1)2

=2+2n-2

2n

Calculate distances

As

Opposite sides are equal so it's rectangle

Answer:

B

Step-by-step explanation:

hope this helps

Answer:

the answer is 0.25,0.5,1,2,2

Answer:

Option C

Step-by-step explanation:

Answer:

yes because she depends on 15% of how much she sells and if she doesn't sell she won't have much money monthly with that plan 1 she would earn more. hope I helped.

Triangular prism has 4 sides, including the base. The lateral area of the considered triangular prism is given by option B: [tex]12x^2 \: \rm inch^2[/tex]

Lateral area of the considered triangular prism is the sum of areas of the triangles it is made up from except that of the base triangle.

The lateral area of a right prism which is regular (all lateral sides congruent) is given by:

[tex]A_L = P \times h[/tex]

where, P = Perimeter of the base

h = height of that prism

For the given case, we have the base of the triangular prism of side length x units.

Thus, perimeter of the base = x + x + x = 3x

Height of the base = h = 4 times x = 4x

Thus, we get:

Lateral area of the prism = [tex]3x \times 4x = 12x^2 \: \rm inch^2[/tex]

Thus, The lateral area of the considered triangular prism is given by option B: [tex]12x^2 \: \rm inch^2[/tex]

Learn more about lateral surface area of a prism here:

https://brainly.com/question/9656717

Awnser:

B: 12x (2) <----- (squared) square inches

Step-by-step explanation:

edge 2023

Negative x positive = negative

Negative x negative = positive

-4 x 8 = -32

-4 x -1 = 4

-4 x -5 = 20

-4 x 9 = -36

Answer: |-32 4 20 -36|

Answer:

D

Step-by-step explanation:

It would first me (0,3) and then (2,3)

Answer:

Theater: Comedy 61% Drama 39% Home: Comedy 60% Drama 40%

Step-by-step explanation:

Theater: first add 57 and 36 to get the total amount, then do comedy/total, which is 57/93, when you divide this it equals 0.612. Multiply this by 100 and you get 61.2 %, repeat this formula for the rest: x or y/x+y x being one amount and y another amount. x+y is just the total amount. *If you don't care about how to do it look below*

Theater:

Comedy: 57/93 x 100=61%

Drama: 36/93 x 100=39%

Home:

Comedy: 78/131 x 100=60%

Drama: 53/131 x 100=40%

This totally might be late so you don't need it anymore, welp good luck anyway!

[:

Answer:

x = -1

Step-by-step explanation:

use the value of y and plug it in

2 = 2x + 4

-4. -4

-2 = 2x

divide each side by 2

-1 = x

you can plug it back in to see if it is right

Answer:

y=2x+4       y=2

2=2x+4

-4      -4

2x= -2

----   ----

2      2

x = -4

Step-by-step explanation:

CHECK:

step 1: Plug everything in.

2=2 correct   y=2x+4

                     2=2(-4)+4

                    2= -8+4

                    2= -4

                   divide 4 by 2

                     2= -2 correct      pls mark as brainliest!