Erica ate 5/8 of a sandwich. Sven ate 2/5 of a sandwich. Micah ate 3/4 of a sandwich. Gabe ate 6/12 of a sandwich. Who ate the most of his sandwich?

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:

6.5

Step-by-step explanation:

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

Answer:

6 2/4ths

Step-by-step explanation:

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:

True

Step-by-step explanation:

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:

Each apples cost about $0.14

Step-by-step explanation:

cost / amount = price per piece

67 / 470 = 0.14

So every apple costs about $0.14

Side 1 + side 2 + side 3 = perimeter

Step-by-step explanation:

You add all three side lengths

Answer:

Approx. 5.3 miles

Step-by-step explanation:

Answer:$1200

Step-by-step explanation:

Answer:

The aquarium needs 56 more gallons to be completely filled.

Step-by-step explanation:

To get the amount remaining you have to first divide 1120 by 100

1120/100=11.2

Then multiply it by 95

11.2*95=1064

You take the maximum amount (1120) and subtract the amount in the tank (1064) to get the amount left.

1120-1064= 56

With 56 gallons as your final answer.

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

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:

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:

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:

645.56

Step-by-step explanation:

50000/1000 13.37=673.50

673.50

-27.94

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.

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:

14

Step-by-step explanation:

4+3=7

4/2=2

7•2=14

Answer: It's about 10.34%

Step-by-step explanation:

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:

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

Step-by-step explanation:

Answer:

16/x - 4 = 40

16/x = 44

16 = 44x

16/44 = 44x

Hope this helps! pls rate me!

Step-by-step explanation:

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:

420 calories

Step-by-step explanation:

180 / 3 = 60 calories

60 x 7 =420 calories

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:

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:

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 :)

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:

40.54

Step-by-step explanation:

32.43×3%=2.27

32.43×18%=8.107.

2.27+5.84=8.11.

32.43+8.11=40.54 total paid.