Victoria drove 211⁄2 miles in 2⁄3 of an hour. What was her speed?      A.) 32 1/2 miles per hour B.) 32 1/3 miles per hour C.) 32 3/4 miles per hour D.) 32 1/4 miles per hour

n = - 10

6n + 40 = 2n ( subtract 2n from both sides of the equation )

4n + 40 = 0 ( subtract 40 from both sides )

4n = - 40 ( divide both sides by 4 )

n = [tex]\frac{-40}{4}[/tex] = - 10

2x+7 <= 3x-5

subtract 2x from each side

7 <= x-5

add 5 to each side

12 <= x

x must be greater than or equal to 12

12 18 24 and 107 are possible solutions

Rental car agency charge:

Let's assume number of miles in as week as x miles

and total rent as R(x)

A rental car agency charges $240 per week plus $0.25 per mile to rent a car

so, we get equation as

[tex]R(x)=240+0.25x[/tex]

Minivan charge:

Let's assume number of miles in as week as 'x' hours

and total charge of minivan as M(x)

The charge for a minivan is $180 per week plus $0.40 per mile

so, we get

[tex]M(x)=180+0.40x[/tex]

now, we can set them equal

and then we can solve for x

[tex]240+0.25x=180+0.40x[/tex]

Subtract both sides by 0.25x

[tex]240+0.25x-0.25x=180+0.40x-0.25x[/tex]

[tex]240=180+0.15x[/tex]

Subtract both sides by 180

[tex]240-180=180+0.15x-180[/tex]

[tex]60=0.15x[/tex]

divide both sides by 0.15

and we get

[tex]x=400 miles/tex]............Answer

The total charge for each vehicle, a car and a minivan, is the same when 400 miles are driven.

The subject you're dealing with here is algebra, specifically, finding the point where two linear functions intersect which shows when the cost of renting the two different vehicles will be the same.

Let's use the formula for the cost of each vehicle, where C is the total cost, W is the flat weekly charge, M is the price per mile, and X is the number of miles driven:

For the car: C = $240W + $0.25M X

For the minivan: C = $180W + $0.40M X

Set these two equations equal to each other to solve for X, the number of miles driven when the two costs are equal:

$240W + $0.25M X = $180W + $0.40M X

Subtracting $180W from both sides and $0.25M X from both sides, you get:

$60W = $0.15M X

Finally, divide by $0.15M to solve for X:

X = $60W/$0.15M = 400 miles

Therefore, the total charge for each vehicle is the same when 400 miles are driven.

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3y-6y=18

Combine like terms

-3y=18

Divide both sides by -3

y=-6

Answer,

Y = -6

Explanation,

Add similar elements: 3y - 6y = -3y

-3y = 18

Divide both sides by -3

-3y/-3 = 18/-3

Y = -6

Hope this helps :-)

Assuming Ellies was 8 /13 feet long

9 1/2 + 6 1/3 + 8 1/3 =

getting a common denominator of 6

9 3/6 + 6 2/6 + 8 2/6

23 7/6

24 1/6 feet

38,728 + 41,584 = 80,312

The company delivered 80,312 items.

Answer:

Step-by-step explanation:

Let [tex] x[/tex] be the greater number and [tex] y [/tex] be the smaller number. We know that their difference is 15, so we have

[tex] x-y=15 [/tex]

Then, we have the following information: if we add twice the greater (2x) and 8 (2x+8), the result is 3 times the lesser (3y) minus four (3y-4). So, we have

[tex] 2x+8 = 3y-4 \iff 2x-3y = -12 [/tex]

So, we have the follwing system:

[tex] \begin{cases} x-y=15\\2x-3y = -12\end{cases} [/tex]

From the first equation, we can derive [tex] x = y+15 [/tex], and substitute this expression in the second equation to get

[tex] 2(y+15)-3y = -12 \iff 2y + 30 -3y = -12 \iff -y = -42 \iff y = 42 [/tex]

Substitute this value for y in the first equation to get

[tex] x-42=15 \iff x=15+42 \iff x = 57 [/tex]

Firstly, we need to write down the information given in the form of algebraic equations. We can represent our two unknown numbers, the greater and the lesser, as x and y respectively.

From the given information, we can form two equations. The first equation is from "the difference between the two numbers is 15", which gives us x - y = 15, where x is the larger number and y is the smaller one.

Also, we know that "If 8 is added to twice the greater number, the result is 4 less than 3 times the lesser number", this gives us the second equation: 2*x + 8 = 3*y - 4.

We now have a system of two equations that we can solve simultaneously:

1) x - y = 15
2) 2*x + 8 = 3*y - 4

To make it easier, let's multiply the first equation by 2, which gives us 2*x - 2*y = 30.

Now subtract the second equation (2*x + 8 = 3*y - 4) from the first (2*x - 2*y = 30), it yields: -2*y - 3*y = 30 - (-4 - 8).

This simplifies to -5y = 30 + 4 + 8, or -5*y = 42.

To get the value of y, divide by -5, therefore y = -42 / -5 = 42.

Now to find x, we can substitute y = 42 in the first equation (x - y = 15), so we get x = 42 + 15 = 57.

Hence, the greater number is 57 and the lesser number is 42.

Answer,

1/3 x 9/11 = 3/11

Explanation,

1 x 9/3 x 11 = 9/33

9 ÷ 33 / 33 ÷ 3

= 3/11

Hope this helps :-)

The answer is -0.8 welcome

Exact Form: −4/5

Decimal Form:−0.8

we are asked to write an expression that uses partial products to multiply 8 and 64. In this case, we can break 8 into 2 x4 and 64 into 8x8. In this case, multiplying these factors equal to 512. Any factors will do actually since it will yield the same product.

Elena needs to calculate the total surface area of her cubic jewelry box to know how much blue paint to buy. The surface area is 96 square inches, based on an edge length of 4 inches. The actual amount of paint depends on the paint's coverage rate.

Each side of a cube has an area calculated by squaring the length of an edge. Since all sides are equal for a cube, the total surface area is 6 times the area of one face.

To find the area of one face: Area = edge length × edge length = 4 inches × 4 inches = 16 square inches.

Therefore, the total surface area of the jewelry box is 16 square inches × 6 = 96 square inches.

To determine how much blue paint Elena will need, we use the total surface area of 96 square inches. The amount of paint required typically depends on the coverage rate of the paint, which is usually mentioned on the paint container. Elena should look for this information to buy the correct amount of blue paint needed to cover 96 square inches.

Hey there!

Equation given :

50 + 5y - 20 = 14y - 12 - 2y

Combining like terms :

30 + 5y = 12y - 12

Adding 12 on both sides :

42 + 5y = 12y

Subtracting 5y on both sides :

7y = 42

Dividing by 7 on both sides :

y = 6

The value of y is 6.

Hope my answer helps!!

m= 2.5x is the equation you want to use, hope this helped! <3

Answer:

The correct answer is x10= 25

Step-by-step explanation:

First we must analyze the information we have:

We know that Luis spent 25 minutes blowing up 10 balloons.

What we want to find out is how many minutes it took to blow up one.

So, if for 25 minutes -------- it blew up 10 balloons

         for x minutes -------------- blew up 1 ballon.

If we cross the terms the equation would be as follows:

x.10 = 25.1

And we just have to solve it:

x = 25/10

x = 2.5

The correct answer is that it took 2.5 minutes to blow up a balloon.

6 * 3 + 1 = 19

the answer is

[tex]3 \frac{1}{6}[/tex]

100000+10000+4000+6 This is written in expanded from please give brainlest

Hi! I'm Jenny and I'm a mathematician! I'd love to help you with this problem! :)

Lets get started...

"What is the product for 24 and 32?"

Lets first clarify what the terms are for the results of MDAS in PEMDAS.

Multiplication: Product

Division: Quotient

Addition: Sum

Subtraction: Difference or result

We know that product is the result of multiplying.

So 24 x 32 is...

768

Message from ExperimentsDIYS:

Our team aims to please and if you have any question regarding your topic, we are here to help! We know that your education is very important. <3

Answer:

768

Step-by-step explanation:

24 times 32 = 768, just ask Siri

The equation of the line in point slope form that passes through the two given points is y + 8 = 3x - 24.

The equation of the line in point slope form that passes through the two given points (8,-8) and slope 3 can be found using the formula y - y1 = m(x - x1), where (x1, y1) represents one of the given points and m represents the slope. Plugging in the values, we get y - (-8) = 3(x - 8). Simplifying this equation gives us y + 8 = 3x - 24. This is the equation of the line in point slope form.

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Answer:

A.Put each person's name on a separate piece of paper in a bag. Randomly draw the winning name; and D.Roll a number cube. If it lands on an even number, Roddy wins. If it lands on an odd number, Scott wins.

Step-by-step explanation:

In order for it to be a fair decision, both boys have to have an equal chance of being selected.

For choice A, drawing their names from a bag, both names are equally likely to be chosen; that makes this fair.

For choice B, there is 1 way to get both heads when flipping a coin.  There are 2 ways to get heads and tails when flipping a coin.  This gives Scott a greater chance, so this is not fair.

For choice C, there are 2 ways to get a 1 or a 2.  There are 4 ways to get anything else.  This gives Scott a greater chance, so this is not fair.

For choice D, there are 3 even numbers and 3 odd numbers.  Both boys have an equal chance, so this is fair.

Answer:

it a and d on any where

Step-by-step explanation:

the answer to the first part is 2x-3

[tex]\dfrac{x}{x-y}+\dfrac{y}{x+y}=\dfrac{x(x+y)}{(x-y)(x+y)}+\dfrac{y(x-y)}{(x-y)(x+y)}\\\\=\dfrac{x^2+xy+xy-y^2}{(x-y)(x+y)}=\dfrac{x^2+2xy-y^2}{x^2-y^2}\\\\Used:\ a^2-b^2=(a-b)(a+b)[/tex]

The answer is c . I hope I helped

difference means subtract

12-8=4

the quadruple it means

4*4

16

Well let's remember the place values in order to solve this

Hundred thousands, Ten thousands, Thousands, Hundreds, Tens, Ones

(Notice how the 3 is in the thousands place)

Now lets separate these place values from the number shown in the question

700,000 + 40,000 + 3,000 + 100 + 80 + 2

As we see up there ^. The thousands place shows the number 3,000

3,000 is your answer

If you break it down the 3 it is in the thousands place. You take all the numbers after 3 and make them 0’s and you’ll find that the value of 3 is 3,000.

By solving a linear equation, conclude that the measure of our angle is 55 degrees.

We know that two angles A and B are supplementary if their measures add up to 180°, then:

A + B  = 180°

And two angles are complementary if their measures add up to 90°.

A + B = 90°

Now, let's define A as our angle, B as the supplement, and C as the complement, then we can write:

A + B = 180°

A + C = 90°

We know that B is 20° more than 3 times the complement, then we can write:

B = 20° + 3*C

Usuing the two equations above we can rewrite:

B = 180° - A

C = 90° - A

Replacing that above, we get:

(180° - A) = 20° + 3*( 90° - A)

We need to solve this linear equation for A.

180° - A = 20° + 270° - 3*A

3*A - A = 20° + 270° - 180°

2*A = 110°

A = 110°/2 = 55°

We conclude that the measure of our angle is 55 degrees.

Learn more about supplementary angles:

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x=2

(2X-8.6)/2=-2.3

multiply both sides by 2 to gte rid of the denominator

2x-8.6= -4.6

add 8.6 to both sides

2x=4

x=2

Isolate the x. Note the equal sign. What you do to one side, you do to the other.

First, multiply 2 to both sides

(2x - 8.6)/2(2) = -2.3(2)

2x - 8.6 = -4.6

Isolate the x. First, add 8.6 to both sides

2x - 8.6 (+8.6) = -4.6 (+8.6)

2x = -4.6 + 8.6

2x = 4

Next, to isolate the x, divide 2 from both sides

2x/2 = 4/2

x = 4/2

x = 2

2 is your answer for x

~Rise Above the Ordinary

B) The consumer pays less per item.

If a bag of chips cost .15, but if 20 bags cost $2, you are saving $1.

Hope I helped!

Good Luck!

Answer:

B.) The consumer pays less per item

Step-by-step explanation:

If you buy items in bulk, you will pay a higher total price but a lower price per item. For instance, buying a package of four rolls of paper towels will usually be cheaper than buying one roll four times.

2.) 96 ÷ 6 ?​

Answer 2 : 96/6 = 16​

4.) 84 ÷ 6 ? ​

Answer 4 : 84/6 = 14​

6.) 104 ÷ 4 ? ​

Answer 6 : 104/4 = 26​

8.) 102 ÷ 6 ?​

​Answer 8 : 102/6 = 17

​10. Ken is making gift bags for a party. He has 64 colored pens and wants to put the same number in each bag. How many bags will Ken make if he puts 4 pens in each bag?

To calculate the number of bags, we have to divide the total number of pens by the number of pens that he has put in each bag.​

​bags = 64 pens/4pens/bag = 16 bags

​Answer 10 : 16 bags

Hope this helps!​​​​​

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