A rental car cost 36 for one day plus additional 0.42 per mile. Simplify the expression 36 + 0.42( 78) to determine the cost of renting a car and driving it 78 miles

A. 68.76
B.70.08
C. 93.12
D. 2,808.42

Answer:

B. 2

Step-by-step explanation:

When you divide

3/11 you get 0.272727272727273

2 is the repeating decimal.

Hope this helps!

By evaluating, we will see that for x = 7 h(x) exceeds g(x).

We have:

h(x) = 2*(2)^x

g(x) = 22x - 4

Now we can evaluate both function in the different options:

h(5) = 2*(2)^5 = 64

g(5) = 22*5 - 4 = 106

We can see that for x = 5, h(x) does not exceed g(x), let's try the next one.

h(6) = 2*(2)^6 = 128

g(6) = 22*6 - 4 = 128

So, for x = 6 both functions have the same output, then for x = 7 we will see that h(x) exceeds g(x).

The correct option is B.

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Answer:

a = 27

b = 38

c = 19

Step-by-step explanation:

a + b + c = 84

b = 2c

a = 8+c

8+c +2c+c = 84

4c + 8 = 84

4c = 76

c = 19

b = 2(19) = 38

a = 8 + 19  = 27

If both p and 2p+1 are prime, then 2p+1 is a safe prime and p is a Sophie Germain prime.

Sophie Germain was a French mathematician who used these primes to investigate Fermat's Last Theorem, a famous mathematical conjecture that was finally proved in 1994 by Andrew Wiles. A safe prime is a prime number of the form 2p+1, where p is also a prime number, and it is called "safe" because it has some cryptographic properties that make it useful in certain encryption schemes.                                                                                                                                          In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b, and c satisfy the equation an + bn = cn for any integer value of n greater than 2. The cases n = 1 and n = 2 have been known since antiquity to have infinitely many solutions.

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Answer:    70

plz give brainliest

Step-by-step explanation:

Solution:

Since

96 : 160 = 42 : X

Then we know

160/96 = X/42

Multiplying both sides by 42 cancels on the right

42 × (160/96) = (X/42) × 42

42 × (160/96) = X

Then solving for X

X = 42 × (160/96)

X = 70

Therefore

96 : 160 = 42 : 70

Answer:

96 : 160 = 42 : 70

Step-by-step explanation:

96/160=42/x

solve for x

• multiply x both side•

96x/160= 42

• get x by itself by multiplying the reciprocal of 96/160= 160/96

x= 42 (160/96)

x= 70

therefore

96 : 160 = 42 : 70

We have the next system of equations

To solve the systme we must replace equation (1) in equation (2)

Simplifying,

To graph the system we must graph equation (1) and (2)

- equation (1)

x-intercept: (-10, 0)

y-intercept: (0, 5)

-equation (2)

x-intercept

The graphs never intersect, we can confirm that the system has no solution.

Answer:

CR

Step-by-step explanation:

Answer:

CR

Step-by-step explanation:

It would be ray CR. It starts at point C and the last point along the ray is R.

I hope this helps! :)

Answer:

loss

it affects you more to lose something than to gain

Answer:

Loss

Step-by-step explanation:

Answer:

D)

because thats the only answer that would make sence.

Option A, (x,y) → (2x,2y) This rule describes an origin-centered stretch with a factor of 2. That is, the image doubles its original size in both the x and y directions.

The new rectangle is similar to the original, but with larger dimensions, so the correct rule is A) (x, y) → (2x, 2y).

In this case, the rule described in option A) (x, y) → (2x, 2y) specifies that the image is twice the size of the original rectangle in both the x and y directions increase. This means that the scale factor is 2. This will result in a similar shape but with larger dimensions. This is the correct rule describing stretching the rectangle URST to the rectangle U'R'S'T'.

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Answer:

The range interval is: (7, -1)

Step-by-step explanation:

Given the function

g(x) = -2r+5

Let us put the domain values in the interval (-1, 3)

Putting x = -1

g(x)=-2r+5

      = -2(-1)+5

      = 2+5

      = 7

Putting x = 0

g(x)=-2r+5

      = -2(0)+5

      =0+5

      = 5

Putting x = 1

g(x)=-2r+5

      = -2(1)+5

      =-2+5

      = 3

Putting x = 2

g(x)=-2r+5

      = -2(2)+5

      =-4+5

      = 1

Putting x = 3

g(x)=-2r+5

      = -2(3)+5

      =-6+5

      = -1

Thus the range interval is: (7, -1)

The solution to this system of linear equations y - x = 6 and y + x = -10 is (-8, -2).

y - x = 6

⇒y = x + 6

y + x = -10

⇒y = - x - 10

Since both equations are equal to y, equate them.

x + 6 = - x - 10

x + x = - 10 - 6

2x = - 16

Divide both sides by 2

x = -8

Put the value of x in either of the equations

y - x = 6

y - (-8) = 6

y + 8 = 6

y = 6 - 8

y = - 2

Therefore, the solution to the system of linear equations is (-8, -2).

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Answer:

-8x^2+2x+5

Step-by-step explanation:

Distributive Property

Answer: The answer is $20

Multiply 400 by .05 or 5%.

If you wanna know 6 years it would be 536 usd

Explanation:

This would be an compound interest. Meaning that your gain every year would increase exponentially.

The equation to calculate this would be: Kn = K0⋅

(1+p100)n Kn is your savings after the period nK0 is your starting deposit p is the percentage n is the period of interest for your example we would have.

Kn=400⋅

(1+5100)6

Answer:3,2,3 and 2

Step-by-step explanation: too much to explain but those are the answers

Answer:

25:26,28,30

26:-4,-2,0

27:W=V/LH

28:(A-PH)/2

Step-by-step explanation:

25: The first thing you need to do is 84/3=28, which is in the middle. On the  left side, it should be 28-2, which is 26, and on the right side, it should 28+2, which is 30, so the answer is 26,28,30.

26: The first thing you need to do is -6/3 = -2, which is in the middle. On the left side, it should be -2-2, which is -4, and on the right side, it should be -2+2 which is 0, so the answer is -4,-2,0.

27: V=LWH, W=V/LH.

28: A - PH = PH + 2B - PH, A - PH = 2B, (A - PH)/2 = 2B/2, B = (A - PH)/2.

Answer:

Q1: E N W G Y U

Q2: R D S Q

Q3: X

Q4: B M F P L

1. N 3. L 5. Q 7. W

2. G 4. B 6. E 8. Y

9. S: (-5,+5) 11. D: (-4,+2) 13. M: (+1,-5) 15 X: (-7,-8)

10. R: (-1,+3) 12. U: (+1,+1) 14. P: (+8,-4) 16. F: (+7,-6)

I can't add the points on the graph tho sorry:(

Pair of points representing parallel line to the x-axis from the given pairs is equal to option a. (3.2, 7) and (5, 7).

As given in the question,

Line parallel to the x-axis has slope = 0

Calculate the slope of each pair of points :

a. (3.2, 7) and (5, 7)

Slope = (y₂ - y₁)/ (x₂ - x₁)

          = ( 7- 7) / ( 5 - 3.2)

          = 0

Pair of points represents parallel line to x-axis.

b. (8, 8.4) and (8, 8.8)

Slope = (y₂ - y₁)/ (x₂ - x₁)

          = ( 8.8- 8.4) / ( 8 - 8)

          = not defined

Pair of points is not parallel to x-axis.

c. (6 1/2, 12) and (6.2, 11)

Slope = (y₂ - y₁)/ (x₂ - x₁)

          = ( 11- 12 / ( 6.2 - 6.5)

          = 1/ 0.3

         = 10/3

Pair of points is not parallel to x-axis.

Therefore, pair of points represents parallel line to x-axis is equal to

option a. (3.2, 7) and (5, 7).

The complete question is:

For each pair of points below, think about the line that joins them. For which pairs is the line parallel to the x-axis? Circle your answer(s). Without plotting them, explain how you know.

a. (3.2, 7) and (5, 7)

b. (8, 8.4) and (8, 8.8)

c. (6 1/2, 12) and (6.2, 11)

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Answer:

Situation B

Step-by-step explanation:

Which situation will get you a greater number of servings? (Lesson 4)

Situation A: A 3 quart container of ice cream with a serving size of ⅔ cup.

2/3 cup = 3 quarts

1 cup = x quarts

Cross Multiply

2/3 cup × x = 1 cup × 3 quarts

x = 3 ÷ 2/3

x = 3 × 3/2

x = 9/2

x = 4 1/2 quarts

Situation B: A 4 quart container of ice cream with a serving size of ¾ cup.

3/4 cup = 4 quarts

1 cup = x quarts

Cross Multiply

3/4 cup × x = 1 cup × 4 quarts

x = 4 quarts ÷ 3/4 cups

x = 4 quarts × 4/3 cups

x = 16/3 quarts

x = 5 1/3 quarts

Answer:

\(6^{2}\)

Step-by-step explanation:

Use power rules.

\(\frac{6^{7} }{6^{5} }\)

\(6^{7-5}\)

\(6^{2}\)

Another way of solving in which the 6s on the numerator cancel with the 6s on the denominator:

\(\frac{6*6*6*6*6*6*6}{6*6*6*6*6}\)

\(\frac{6*6}{1}\)

6*6

\(6^{2}\)

Answer:

1.5 or 3/2

Step-by-step explanation:

The missing lengths for each triangle are given as follows:

1) BC = 9.

2) PQ = 5.4.

3) UW = 6.7.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

Hence, for item 1, we have that:

(BC)² + 12² = 15²

\(BC = \sqrt{15^2 - 12^2}\)

BC = 9.

For item 2, we have that:

(PQ)² = 5² + 2²

\(PQ = \sqrt{29}\)

PQ = 5.4.

For item 3, we have that:

(UW)² + 6² = 9²

\(UW = \sqrt{9^2 - 6^2}\)

UW = 6.7.

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The area of the polygon is 25.5 square units

From the figure, we have the following coordinates

A = (-2, 1)

B = (3, 2)

C = (5, -3)

D = (-1, -3)

The area of the polygon is then calculated as:

A = 0.5 * |(x1y2 - x2y1) + (x2y3 - x3y2) + (x3y4 - x4y3) + (x4y1 - x1y4)|

Substitute the known values in the above equation

Area = 0.5 * |(-2 * 2 - 3 * 1) + (3 * -3  - 5 * 2) + (5 * -3  + 1 * -3) + (-1 * 1 + 2 * -3)|

Evaluate the sum of products

Area = 0.5 * |-51|

Remove the absolute bracket

Area = 0.5 * 51

Evaluate the product

Area = 25.5

Hence, the area of the polygon is 25.5 square units

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After 400 miles is the total charge for each vehicle the​ same ie $340

What is equation ?

The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal."

An equals sign is a part of a mathematical expression referred to as an equation. A lot of equations include algebra. In math, algebra is employed when you don't know the precise amount to calculate.

x= number of miles

car cost is  240+0.25x

van cost is 180+0.40x

When the equations are equal

240 + 0.25x = 180 +0.40x

60 = 0.15x

15x = 6000

x=400

400 miles.  

They will each cost $340

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Answer:

C. Similarity cannot be determined

Step-by-step explanation:

Two triangles are considered similar when all three angles are equal and also when the ratio of their corresponding side lengths are equal.

Since we only know the angles of the two triangles given and we are not given the side lengths to determine if their corresponding ratio is the same, we therefore cannot determine if the two triangles are similar in anyway.

Answer:

Option (4)

Step-by-step explanation:

Point A is located at (0, 4) and point C is located at (-3, 5).

Let the point B is located at \(\frac{1}{4}\) the distance from A and C.

In other words ratio of the segments AB and BC = m : n = 1 : 3

Coordinates of a point (x, y) which divides a segment having ends \((x_1,y_1)\) and \((x_2,y_2)\) = \((\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})\)

If the ends of the segment are (0, 4) and (-3, 5), coordinates of point B will be

= \((\frac{1(-3)+4(0)}{1+3},\frac{1(5)+4(4)}{1+3})\)

= \((-\frac{3}{3}, \frac{21}{3})\)

= (-1, 7)

Option (4) will be the answer.

Answer:

47 inches and 66 inches

Step-by-step explanation:

took test

Answer:

D

Step-by-step explanation:

Answer: 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the number =x

So, x*12*2=144

=12x=144/2

=12x=72

=x=72/12

=x=6

So the answer is 6 because 6*12=72 and doubling 72 gives us 144.

Have a great day!!!