Simplify the expression. 28 + 18 ÷ 6 • (–3)

19 27 –23 –93

Answer:

-9/4

Step-by-step explanation:

-4/3x-3=1/3x+3/4

-4/3x-1/3x-3=3/4

-5/3x=3/4+3

-5/3x=3/4+12/4

-5/3x=15/4

x=(15/4)/(-5/3)

x=(15/4)(-3/5)

x=-45/20

simplify

x=-9/4

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:

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:

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:$1200

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.

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).

The final amount after a 13% decrease followed by a further 6% decrease from 943, rounded to two decimal places, is 771.19.

To calculate the final amount after sequential percentage decreases, you first apply the initial percentage decrease to the original amount, then apply the second percentage decrease to the new, lower amount.

Here’s how you can do it step by step:

The calculator answer is 771.1854, but since we want the answer rounded to two decimal places, we must look at the third decimal place. Since the digit in the thousandths place (5) is greater than or equal to 5, we round up giving us a final answer of 771.19.

Answer:

(x - 4), (x + 131), and (x - 5) must all be factors of f(x).

Step-by-step explanation:

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:

Side 1 + side 2 + side 3 = perimeter

Step-by-step explanation:

You add all three side lengths

Answer:

True

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:

7 inches

Step-by-step explanation:

The volume of a cylinder is calculated using

[tex]V = \pi {r}^{2}h[/tex]

where r =4 inches is the radius and V=351.68 is the volume.

To find the height of the jar, we substitute these values and solve for h.

[tex]351.68 = 3.14 \times {4}^{2} \times h[/tex]

[tex]351.68 = 50.24h[/tex]

Divide both sides by 50.24 to get:

[tex]h = \frac{351.68}{50.24} [/tex]

h=7 inches

Therefore the height of the jar is 7 inches

He would earn an interest of $270 each year and at the end of the first year he would have $6270 in his account.

Step-by-step explanation:

⇒ SI = 6000 × 4.5 × 1/100

⇒ SI = 60 × 4.5 = $270

⇒ A = 6000 + 270

⇒ A = $6270

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:

  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.

Answer:

18

Step-by-step explanation:

45-27=18

Answer:

18

Step-by-step explanation:

subtract 45 and 27 it gives u 18

Answer:

9 1/3, 12 1/2, 14 3/4

Step-by-step explanation:

I assume the formula you’re working with is A=b*h since nothing says otherwise...

((Patio 1))

So you have your area (147) and your base (15 3/4), now you need to plug them in, which should look like this:

147= 15 3/4*h

You need to isolate your h in order to get the missing number, so you should divide both sides by 15 3/4 OR 63/4 ((15*3—>60+3=63))

Dividing by a fraction is the equivalent of multiplying by its reciprocal... so

147 * 4/63 = 588/63 which can be simplified to 84/9 once both the numerator and denominator are divided by 7

In mixed number for it is 9 3/9 which simplified becomes 9 1/3

You solve the other similarly

Answer: 42 units squared

Step-by-step explanation:

3x7=21

3x7=21 divided by 2 = 10.5 + 10.5 = 21 so,

21+21=42

Hope it helps

Answer:

34.5 units^2

Step-by-step explanation:

The square is A = bh.

A = 7 * 3 = 24.

The triangle is A = 0.5bh.

A = 0.5 * 7 * 3 = 0.5 * 21 = 10.5.

24 + 10.5 = 34.5 units^2.

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:

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 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:

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:

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:

420 calories

Step-by-step explanation:

180 / 3 = 60 calories

60 x 7 =420 calories

Answer:

yes

Step-by-step explanation:

yesAnswer:

yes you can

Step-by-step explanation:

if its a number put it as a fraction put a one number the number your divining and divide and if it's a improper fraction turn in into a mixed number :)

Answer:

645.56

Step-by-step explanation:

50000/1000 13.37=673.50

673.50

-27.94