A rental car agency charges $240 per week plus $0.25 per mile to rent a car. The charge for a minivan is $180 per week plus $0.40 per mile. After how many miles is the total charge for each vehicle the same?

[tex]\mathrm{Multiply\:without\:the\:decimal\:points,\:then\:put\:the\:decimal\:point\:in\:the\:answer},25\cdot:3=75,2.5\mathrm{\:has\:}1\mathrm{\:decimal\:place},0.3\mathrm{\:has\:}1\mathrm{\:decimal\:place},\mathrm{Therefore,\:the\:answer\:has\:}2\mathrm{\:decimal\:places},=0.75[/tex]

Hope This helps!!!

2.5 times 0.3 is 0.7500 when expressed to four decimal places, taking into account the correct amount of significant figures.

The question asks to calculate 2.5 times 0.3 and express the result to four decimal places. To perform this multiplication, we multiply

2.5 × 0.3 = 0.75.

When expressing the result with four decimal places, we add extra zeros as necessary, resulting in 0.7500. It's important to remember that calculators provide results that must be rounded to reflect the number of significant figures of the initial numbers involved in the calculation.

Answer:

An integer is a whole number  that can be positive, negative, or zero

The negative of a negative number is positive. -(-3) = +3

The negative of a positive number is negative. -(3) = -3

Zero can neither be positive nor negative

Answer:

C and D

Step-by-step explanation:

You can tell if equations have no solution if the variables on both sides of the equation are the same.

Choice C is 10+6x=15+9x-3x. You would combine 9x and -3x, turning the equation into 10+6x=15+6x. Since there is a 6x on both sides, Choice C would have no solution.

The same for Choice D. When you simplify everything there is a 3x on both sides, so it would have no solution.

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Answer:

It's the first one!

I just took the test. Hope this helps!

Step-by-step explanation:

Answer:

The answer is A.

Step-by-step explanation:

The scale factor is 2.5 and the coordinates of point C are (–2.4, –0.8).

HI Sydney!

Question:

Solve 5^2 - 4 x 6 + 11

Solution:

Remember to follow PEMDAS,

= 5^2 - 4 x 6 + 11

= 25 - 4 x 6 + 11

= 25 - 24 + 11

= 1 + 11

= 12

Answer: 12

Answer:

102

Step-by-step explanation:

5*2 would be?

10

But we are not done... We have to minus 10 and 4

Which will give us   -      6

Then you do 6+11 ..

Which will give you 17..

So what do we do will 6 and 17?

WE MULTIPLY IT...

6 * 17

Will get you 102....

Hope this helps...

Answer:

Celsius is going up by 10's while Fahrenheit is going up by 18

Step-by-step explanation:

by subtracting the first two numbers then the next two you will see the pattern.

3p + 3q = 36    equation 1

5p + 39 = 40    equation 2

subtracting 39 both sides of equation 1.

5p +39 -39= 40-39

5p =1 ⇒   5p/5 = 1/5     ⇒ p = 1/5

putting value of p in equation 1.

3(1/5) +3q =36

3/5 +3q  =36       equation 3

subtracting 3/5 both sides equation 3 becomes.

3q =36 -3/5

3q=177/5      equation 4

dividing 3 both sides of equation 4

q=59/5

C) X also increases to y7 times its original value

Answer: -3< 0

Step-by-step explanation: this means -3 is less than 0.

As on number line -3 and 0 are marked. We know 0 is origin if we go rightward i .e towards the positive number all numbers are greater than zero.

But if we move leftward on number line the numbers are less than zero.

Answer:

what is the question please?

Step-by-step explanation:

First isolate x by multiplying by x on both sides.  It will look like this:

(2/3)x=1.2

Then devise by (2/3) on both sides to get:

x= 1.2/(2/3)

The easiest way to get this is plug that into a calculator and get the answer:

x=1.8

Final answer:

To solve the proportion 2/3 = 1.2/x, we use cross multiplication resulting in the equation 2x = 3.6. Dividing both sides by 2 gives us x = 1.8.

Explanation:

To solve for x in the proportion 2/3 = 1.2/x, we can set up a cross multiplication. This will give us the equation 2x = 3.6 (since 2 multiplied by x equals 1.2 times 3). To find the value of x, we then divide both sides of the equation by 2, leading to x = 3.6 / 2.

Therefore, we get x = 1.8 after simplifying the division.

Answer:

11. Triangles to rectangles: [tex]\frac{1}{4}[/tex] or [tex]1:4[/tex]

    For each triangle there are 4 rectangles.

12. Soccer balls to footballs: [tex]\frac{3}{5}[/tex] or [tex]3:4[/tex]

    For every 3 soccer balls there are 5 Footballs.

13. - Kittens to puppies: [tex]\frac{3}{1}[/tex] or [tex]3:1[/tex]

       For every 3 kittens there is a puppy.

    - Puppies to kittens: [tex]\frac{1}{3}[/tex] or [tex]1:3[/tex]

      For each puppy there are 3 kittens.

Step-by-step explanation:

To express a counting problem as a ratio you should divide the number of things before the word "to" by the number of things after the word "to". A ratio can be expressed as a fraction or separating the two numbers with a colon (a:b).

Let's apply this to each one of our problems.

11. Here we have triangles to rectangles, so we are going to divide the number of triangles by the number of rectangles.

We can count 2 triangles and 8 rectangles from our picture, so

Triangles to rectangles = [tex]\frac{NumberofTriangles}{NumberifRectangles} =\frac{2}{8}[/tex]

Notice that both numerator and denominator of our ratio are divisible by 2, so simplify it, we just need to divide them both by 2:

[tex]\frac{2}{8} =\frac{\frac{2}{2} }{\frac{8}{2} } =\frac{1}{4}[/tex]

So the ratio from triangles to rectangles is [tex]\frac{1}{4}[/tex] or [tex]1:4[/tex]

which means that for 1 triangle there are four rectangles.

12. Here we have soccer balls to footballs, so we are going to divide the number of soccer balls to the number of footballs and simplify our resulting fraction. We have 6 soccer balls and 10 footballs in our picture

Soccer balls to footballs = [tex]\frac{NumberofSoccerBalls}{NumberofFootballs} =\frac{6}{10} =\frac{\frac{6}{2} }{\frac{10}{2} } =\frac{3}{5}[/tex]

For every 3 soccer balls there are 5 Footballs.

13. Here we have kittens to puppies or puppies to kittens. We know that there are 36 Kittens and 12 puppies.

- Kittens to puppies = [tex]\frac{NumberofKittens}{NumberofPuppies} =\frac{36}{12} =\frac{\frac{36}{12} }{\frac{12}{12} } =\frac{3}{1}[/tex]

For every 3 kittens there is a puppy.

- Puppies to kittens = [tex]\frac{Number of Puppies}{NumberofKittens} =\frac{12}{36} =\frac{\frac{12}{12} }{\frac{36}{12} } =\frac{1}{3}[/tex]

For each puppy there are 3 kittens.

Answer:

NOT the graph A and the graph B.

Step-by-step explanation:

y = mx + b

m - slope

b - y-integer

If m > 0 then the function is increasing.

if m < 0 then the function is decreasing.

We have y = -2x + 3

m = -2 < 0 the function is decreasing

b = 3 y-intercept = 3

The x-intercept: y = 0. Substitute

0 = -2x + 3     add 2x to both sides

2x = 3    divide both sides by 2

x = 1.5

Therefore your answer is C or D (look at the picture)

Answer: 3 + 9i or C

Step-by-step explanation:

(4 - 1) = 3

2i - (negative)7 = 9i

The answer would be the fourth choice.

Answer:

100///////////////////////////

Step-by-step explanation:

Hello,

Question:

George jogged a total distance of 9 and 1 over 2 miles during the months of October and November. If George only jogged 1 over 4 mile every day, which expression shows the number of days in which he went jogging?

We know:

He jogged 9 1/2 miles during October and November

1/4 mile every day

Answer:

9 and 1 over 2 divided by 1 over 4

Final answer:

To find the missing term in the proportion 72:24 = 15:__, you divide 72 by 24 to find the common ratio, which is 3. Then, you set 15/x = 3 and solve for x, giving you the missing term 5, making the proportion 72:24 = 15:5.

Explanation:

To find the missing term in the proportional relationship 72:24 = 15:__, we can set up a proportion where both ratios are equal. We know that 72 divided by 24 equals 3, so the missing term, which we'll call x, needs to satisfy the equation 15/x = 3.

By cross-multiplying, we get:

15 * 1 = 3 * x

15 = 3x

x = 15 / 3

x = 5

Therefore, the missing term is 5, and the proportion correctly reads 72:24 = 15:5.

Answer: 32

Step-by-step explanation:

Complete solution is attached below.

Equivalent expressions are expressions with the same value.

The equivalent expression is [tex]\mathbf{5(2) +5(7)}[/tex]

The expression is given as:

[tex]\mathbf{5(2 +7)}[/tex]

Express as an equation

[tex]\mathbf{5(2 +7) =5(2 +7)}[/tex]

Apply distributive property

[tex]\mathbf{5(2 +7) =5(2) +5(7)}[/tex]

Hence, the equivalent expression is [tex]\mathbf{5(2) +5(7)}[/tex]

Read more about equivalent expression at:

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2.50 x 8.00= 10.50. :)

The relationship between the number of drinks bought and the total cost is represented by the equation [tex]C = 2.50 \times d[/tex], with d being the number of drinks. A table can be used to display this relationship, indicating the incremental increase in cost with each additional drink.

To represent the relationship between the number of drinks bought at the fair and the total cost, we can define a variable, let's say d, where d represents the number of drinks purchased. Since each drink costs $2.50, we can write the equation for the total cost C as:

[tex]C = 2.50 \times d[/tex]

Now, let's construct a table to show some examples of how this equation works:

 Number of Drinks (d) Cost (C)   1 $2.50   2 $5.00   3 $7.50   4 $10.00  

The equation C = 2.50  imes d helps us understand that for every additional drink bought, the cost increases by $2.50.

Answer:

The speed in scientific notation is [tex](1.1)(10^{3})[/tex] feet per second.

Step-by-step explanation:

1. You have the following speed: One thousand one houndred feet per second.

2. You must convert from words to number. This is:

1,100 feet per second

3. To express this quantity in scientific notation, you can move the decimal point three places to the left, and write it as: 1.1 by [tex]10^{3}[/tex] (or 1,000) as following:

[tex]1,100=(1.1)(10^{3})[/tex]

The speed of sound in air, which is about one thousand one hundred feet per second, is represented in scientific notation as 1.1 x 10³.

The speed of sound in air as reported by a weather reporter is approximately one thousand one hundred feet per second. To express this speed in scientific notation, we convert 1,100 to a number between 1 and 10 multiplied by a power of 10. The number 1,100 is equivalent to 1.1 x 103 in scientific notation.

well first you want to do 21/32 and you get 0.6562

then youll do 7/8 you get 0.875

then youll divide 0.6562 by 0.875 you get 0.7499

then it would be 7499/10000 converted back into a fraction

To divide fractions like 21/32 divided by 7/8, we multiply the first fraction by the reciprocal of the second, getting (21 times 8)/(32 times 7) which simplifies to 3/4.

The subject in your question is Mathematics, specifically division of fractions. To divide fractions, we need to first understand the concept of reciprocal. The reciprocal of a fraction is obtained by swapping the numerator and the denominator. So the reciprocal of 7/8 is 8/7. When you divide by a fraction, it's the same as multiplying by its reciprocal. Therefore, 21/32 divided by 7/8 equals 21/32 times 8/7.

To further solve this, you multiply the numerators together to get a new numerator and the denominators to get a new denominator. So you get (21 times 8)/(32 times 7) which is 168/224. When you simplify this fraction, you should get 3/4. So, 21/32 divided by 7/8 is 3/4.

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The Range for that function is [0,infinite)

No because there will be a time when you need to determine the absolute value for instance: Absolute values are often used in problems involving distance and are sometimes used with inequalities

1, If 0 are negative the product is positive, but if 2 are negative then answer is still positive. At least 1 but could also be 1,3,5.

1, If 0 are negative the product is positive