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3 years ago

11

Trina had 50 eggs. After using some of her eggs to make 12 batches of brownies, she has 14 eggs remaining. How many eggs did Tri

na use in one batch of brownies?

1 answer:

Alexeev081 [22]3 years ago

8 0

Step-by-step explanation:

eggs used : 50-12= 38 eggs

$\frac{38 \: eggs}{12 \: batches} = 3.1667eggs \: per \: batch$

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The area of a square for on a scale drawing of 100 square centimeters and the scale drawing to 1 cm: 2 feet what is the area of

lilavasa [31]

Answer:

1. $\boxed{\text{400 ft}^{2}}$ ; 2. $\boxed{\frac{1}{3716}}$

Step-by-step explanation:

Step 1. Calculate the area of the floor

If the area A₁ of a square floor on the scale drawing is 100 cm², the length of a side is 10 cm.

The side length l of the actual floor is

l = 10 cm × (2 ft/1 cm) = 20 ft

The area A₂ of the floor is

A = l² = (20 ft)² = $\boxed{\text{400 ft}^{2}}\\$

Step 2. Calculate the area ratios

We must express both areas in the same units.

Let's express the area of the room in square centimetres.

l = 20 ft × (12 in/1 ft) = 240 in

l = 240 in × (2.54 cm/1 in) = 609.6 cm

A₂ = l² = (609.6 cm)² = 371 612 cm²

The area A₁ on the scale drawing is 100 cm².

The ratio of the areas is

$\frac{A_{1}}{ A_{2}} = \frac{100}{371612} = \frac{1 }{3716}\\$

The ratio of the area in the drawing to the actual area is $\boxed{\frac{1}{3716}}$

8 0

3 years ago

Y=-5x – 26<br> 15y=3x – 18

harina [27]

Answer:

Y = − 5 x − 26

y = x /5 − 6 /5

Step-by-step explanation:

4 0

4 years ago

A cylinder has a radius of 20 cm and a height of 2 cm. Find the height of another cylinder that has a radius of 4 cm and the sam

iogann1982 [59]

Answer:

The height of the another cylinder 'h' = 7

Step-by-step explanation:

<u>Explanation</u>:-

<u>Step 1:-</u>

Surface area of the cylinder = 2пrh + 2пr^2

Given radius of first cylinder is 20cm

given height of the first cylinder is 2 cm

The surface area of first cylinder is = 2пrh + 2пr^2

= 2п(20)(2)+2п(2)^2

= 4п(20+2)

The surface area of first cylinder is 88п

<u>Step 2</u>:

given data The surface area of first cylinder is 88п is same as second cylinder also

<u>Find the height of the second cylinder</u>

Given Radius of the second cylinder r = 4

Surface area of the cylinder = 2пrh + 2пr^2 = 88п

2п(4)h+2п(4)^2 =88п

on simplification we get

2п (4h+16) = 88п

after cancellation '2п' value and on simplification, we get

4h+16 = 44

4h = 44-16

4h = 28

h=7

Therefore the height of the another cylinder is 'h' =7

3 0

3 years ago

Hillary is making a blanket for her mom. Three fourths of the blanket is green and the rest is yellow. Two thirds of the yellow

Leviafan [203]

Answer:

1/6

Step-by-step explanation:

Hillary is making a blanket for her mom.

Let the total blanket = 1

Three-fourths of the blanket is green and the rest is yellow.

The fraction for the rest(yellow portion) = 1 - 3/4

The Lowest Common Denominator is 4

Hence,

4 - 3 /4 = 1/4

Two-thirds of the yellow part has her name on it.

The fraction of the blanket that will have her name on it is calculated as

2/3 of 1 /4

= 2/3 × 1/4

= 1/6

4 0

3 years ago

What is the slope-intercept equation of the line that includes (0,7) and (3,10)?

maksim [4K]

$\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{10}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{10-7}{3-0}\implies \cfrac{3}{3}\implies 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-7=1(x-0)\implies y-7=x\implies y=x+7$

5 0

3 years ago

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