It took Ivan 7 1/2 hours to drive 412.5 miles at a constant speed. How fast was he driving? Show how you know.

Answer:9.4 miles

Hope this helps

Answer:

6.5

Step-by-step explanation:

13/2 = 6.5 inches or 6 1/2 inches

Answer:

6 2/4ths

Step-by-step explanation:

Step-by-step explanation:

[tex] \triangle \: ABC \cong \triangle \: FED[/tex]

Here, all the sides or angles of triangle ABC are congruent to the corresponding sides or angles of triangle FED. As both triangles are reflections of each other.

Answer:

The salesman is giving you a 14% discount

Step-by-step explanation:

Do 27950/32500 to get 0.86

Then do 1-0.86=0.14

Multiply by 100 to get 14%

Hope this helped!

Answer:

The number of nickel coins is 10 and the number of quarter coins is 5

Step-by-step explanation:

The correct question is

Mary has 15 coins with the total value of $1.75 if the coins are nickels and quarters how many of each kind are there

Let

x ----> the number of nickel coins

y ----> the number of quarter coins

Remember that

[tex]1\ nickel=\$0.05[/tex]

[tex]1\ quarter=\$0.25[/tex]

we know that

Mary has 15 coins

so

[tex]x+y=15[/tex] -----> equation A

The total value of the coins is $1.75

so

[tex]0.05x+0.25y=1.75[/tex] ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (10,5)

therefore

The number of nickel coins is 10 and the number of quarter coins is 5

Answer:

Part 1) Option a. TZY

Part 2) Option c. YZX

Step-by-step explanation:

The question is as following and see the attached figure

The minor arc measures of circle Z are shown in the figure.

Use the drop-down menus to complete each statement.

1) Angle UZT is congruent to angle _____

2) Angle VZW is congruent to angle____

Answer choices

1) a. TZY, b. XZW, c. VZW

2) a. UZV, b. TZY, c. YZX

===============================================

Solution:

Part 1) Angle UZT is congruent to angle______

From the attached figure, we can deduce that:

∠UZT = 54°

∠TZY = 54°

So,

∠TZY = ∠UZT ⇒ both angles are congruent.

1. Angle UZT is congruent to angle TZY

===========================================

Part 2) Angle VZW is congruent to angle_____

From the attached figure, we can deduce that:

∠VZW = 71°

∠YZX = 71°

So,

∠YZX = ∠VZW ⇒ both angles are congruent

2. Angle VZW is congruent to angle YZX

Answer: correct answer is TZY for first one and YZX for second

Step-by-step explanation:

Just chose those and got it correct :)

Answer:$1200

Step-by-step explanation:

Answer:

20 sides.

Step-by-step explanation:

The exterior angle = 180 - 162 = 18 degrees.

Since the sum of the exterior angles = 360 degrees the number of sides

= 360 / 18

= 20 sides.

Answer:

  0.24

Step-by-step explanation:

Twenty-four hundredths = 24/100 = 24×(1/100) = 24×0.01 = 0.24

_____

Both 24/100 and 0.24 are pronounced "twenty-four hundredths."

Answer:

0.24

Step-by-step explanation:

If you say hundredths with ths it means that the number is at the right side the decimal point. so that means twenty four hundredths is at the right side of the decimal point so the answer will be 0.24 hundredths.

Hey there! I'm happy to help!

We have a room that is 22 by 17 feet. We know that for every foot, we draw a 1/2 inch. This means that we need multiply our dimensions by 1/2 to find the dimensions of the drawing.

22×1/2=11

17×1/2=8.5

Therefore, the dimensions of the room are 11 feet by 8.5 inches. These are the dimensions of a normal white paper!

Have a wonderful day! :D

To convert the actual room dimensions of 22 feet by 17 feet to a scale drawing with a scale of 1/2 inch equals 1 foot, the length becomes 11 inches, and the width becomes 8.5 inches in the drawing.

When creating a scale drawing, the dimensions of the actual room need to be converted into scale dimensions. According to the scale given, which is 1/2 inch equals 1 foot, the actual room dimensions of 22 feet by 17 feet should be converted using this scale ratio.

To do this conversion, each actual dimension must be divided by the scale factor. The scale factor is determined by the number of feet that are represented by 1/2 inch. Since 1/2 inch is equivalent to 1 foot, the scale factor is 1 foot per 1/2 inch. Therefore, we calculate the dimensions as follows:

Length: 22 feet / 1 foot per 1/2 inch = 22 x 1/2 inches = 11 inches

Width: 17 feet / 1 foot per 1/2 inch = 17 x 1/2 inches = 8.5 inches

Thus, the dimensions on the scale drawing for a room that is 22 feet by 17 feet would be 11 inches by 8.5 inches.

Answer:

18

Step-by-step explanation:

45-27=18

Answer:

18

Step-by-step explanation:

subtract 45 and 27 it gives u 18

To cover costs, the student council needs to sell 70 T-shirts, which will cover the $770 in costs.

To solve the student council's problem, we need to find the number of T-shirts that must be sold so that the total revenue equals or exceeds the costs associated with making the T-shirts. Let's define x as the number of T-shirts to be sold. The total revenue from selling the T-shirts at $11 apiece can be represented as 11x. The costs consist of a setup fee of $140 and $9 per shirt, so the total cost is 9x + 140. To determine when the revenue will cover the costs, we can set up the following equation:

11x = 9x + 140

Solving this equation for x, we subtract 9x from both sides:

2x = 140

Then divide both sides by 2:

x = 70

Therefore, the student council needs to sell 70 T-shirts to cover their costs, which will be $770 ($11 per shirt multiplied by 70 shirts).

Answer:

See explanation

Step-by-step explanation:

Let a,b, and c be real numbers.

The distributive property says that:

[tex]a(b + c) = ab + ac[/tex]

Assuming we want to simplify:

[tex]10(5*10^{-1}+150*10^{-3})[/tex]

We apply the distributive property to get:

[tex]10(5*10^{-1}+150*10^{-3}) = 5*10^{-1} \times 10+150*10^{-3} \times 10[/tex]

We can now use rules of exponents to simplify further:

[tex]10(5*10^{-1}+150*10^{-3}) = 5*10^{-1} \times 10^{1} +150*10^{-3} \times 10^{1} [/tex]

[tex]10(5*10^{-1}+150*10^{-3}) = 5*10^{-1 + 1} +150*10^{-3 + 1}[/tex]

[tex]10(5*10^{-1}+150*10^{-3}) = 5*10^{0} +150*10^{-2}[/tex]

[tex]10(5*10^{-1}+150*10^{-3}) = 5*1+1.50*10^{-2}x {10}^{2} [/tex]

[tex]10(5*10^{-1}+150*10^{-3}) = 5*1+1.50*10^{-2 + 2}[/tex]

[tex]10(5*10^{-1}+150*10^{-3}) = 5+1.50*10^{0} = 6.5 \times {10}^{0} [/tex]

Answer:

0.486% of world population lives in Canada.

Step-by-step explanation:

Given: World Population= 7691 million.

           Canada Population= 37.4 million.

Now, finding the percentage of world population lives in Canada.

[tex]Population\ percentage= \frac{Canada\ population}{World\ population} \times 100[/tex]

⇒ [tex]Population\ percentage= \frac{37.4}{7691} \times 100[/tex]

⇒ [tex]Population\ percentage= 0.00486\times 100[/tex]

∴ [tex]Population\ percentage= 0.486\%[/tex]

Hence, 0.486% of world population lives in Canada.

Answer:

True

Step-by-step explanation:

Final answer:

Marco buys shampoo at $7.25 per bottle and sells it with a 25% markup, making the markup $1.81 per bottle. The selling price, therefore, is $9.06 per bottle.

Explanation:

The question is about calculating the markup applied by Marco on a bottle of shampoo. Marco buys the shampoo at $7.25 per bottle and sells it at a markup of 25 percent. The markup is calculated based on the cost price of the product. In this case, to find the markup amount, we use the formula: Markup = Cost Price * Markup Percentage. So, the markup on each bottle of shampoo is $7.25 * 0.25 = $1.81. Therefore, Marco applies a $1.81 markup on each bottle of shampoo.

To determine the selling price, one can add the markup to the cost price, which would be $7.25 + $1.81 = $9.06. This is Marco's selling price per bottle after applying the 25 percent markup.

Answer- You can get 10 Small rafts

12 x 100+ 1200

1600-1200=400

400/40 =10 Rafts

A linear equation representing the given situation and the number of small rafts is required.

The required equation is [tex]100x+40y=1600[/tex]

The number of small rafts will be [tex]10[/tex]

Cost of one large raft = $100

Cost of one small raft = $40

Total amount to spend = $1600

Let the number of large rafts be [tex]x[/tex]

and small rafts be [tex]y[/tex]

The equation will be

[tex]100x+40y=1600[/tex]

The number of large rafts [tex]x=12[/tex]

[tex]100\times 12+40y=1600\\\Rightarrow y=\dfrac{1600-100\times 12}{40}\\\Rightarrow y=10[/tex]

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https://brainly.com/question/8449665

https://brainly.com/question/16135223

Answer:

10  20 40

Step-by-step explanation:

Answer:

[tex]\large \boxed{\text{B. 36 apples}}[/tex]

Step-by-step explanation:

Let a = the number of apples

and o = the number of oranges

You have two conditions:

[tex]\begin{array}{lrcl}(1) & \dfrac{a}{o} & = & \dfrac{4}{2} \\\\(2) & a+ o & = & 54\\\end{array}[/tex]

Solve the equations for a

[tex]\begin{array}{rcll}2a & = & 4o & \text{Multiplied each side of (1) by 2o}\\\(3) \,2a - 4o& = & 0 &\text{Subtracted 4o from each side}\\a + o & = & 54& \text{This is equation (2)}\\(4) \, 4a +4o& = &216&\text{Multiplied each side by 4} \\6a& = &216&\text{Added (3) and (4)} \\a & = &\mathbf{36}&\text{Divided each side by 6} \\\end{array}\\\text{Tia should sell $\large \boxed{\textbf{36 apples}}$}[/tex]

Answer:

k = 6.

Step-by-step explanation:

k = 6

2k = 12

12 - 6 - 3 = 3

k = 1

2k = 2

2 - 6 - 3 = -7

So, the answer is k = 6 because it makes more sense.

Answer:

10 5/8

Step-by-step explanation:

1/4 = 2/ 8

7 3/8 + 3 1/4 = 7 3/8 + 3 2/8

7 3/8 + 3 2/8 = 10 5/8

Answer:

10.675

Step-by-step explanation:

x = 14 and y = 10

Two shapes are similar if they have the same form but not necessarily the same size. In other words, when shapes are similar they are in proportion. Since you haven't provided any diagram, I'll choose two irregular polygon that are similar as indicated in the figure below. So we can calculate both x and y with proportions as follows:

[tex]For \ x: \\ \\ \frac{x}{7}=\frac{16}{8} \\ \\ x=\frac{7\times 16}{8} \\ \\ x=14 \\ \\ \\ For \ y: \\ \\ \frac{y}{20}=\frac{8}{16} \\ \\ y=\frac{8\times 20}{16} \\ \\ y=10[/tex]

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Answer:

12%

Step-by-step explanation:

There are a total of 175 units in an apartment complex.

Out of which, 154 units are occupied.

Now, we have to find the percentage of the apartment which are unoccupied.

So, the number of units that are not occupied is (175 - 154) = 21.

Hence, the percentage of the number of unoccupied units of the apartment complex will be [tex]\frac{21}{175}\times 100 \% = 12 \%[/tex] (Answer)

Side 1 + side 2 + side 3 = perimeter

Step-by-step explanation:

You add all three side lengths

Answer:

47.2

Step-by-step explanation:

236/5

47.5

47.2

Step-by-step explanation:

Because,

= 236/5

= 47.2

Therefore, 47.2 tines 5 goes into 236.

Answer:

Based on her monthly income YES

Step-by-step explanation:

18 × 4 = $720 a week and 720 × 4 = $2,880 a month

The rent for the apartment is $1,000 if Erin rent this place she will have an extra =1,880 for her living expenses after she pays for the rent so there would be no problem of her renting the place.

Answer:

1) x = -4

2) x = 21

Step-by-step explanation:

6x = -24

6/6x=-24/6

x=-4

and

x/7 = 3

x/7*7=3*7

x=21