The area of this rectangle is 80ft^2. What is the length and width.Width: X+16
Length: X

What is X for Width?
What is X for Length?

Answers

Answer 1

Answer: area=LW
80=area
L=x+16
W=x
80=(x+16)(x)
80=x^2+16x
minus 80
0=x^2+16x-80
factor
0=(x-4)(x+20)
set to zero
x-4=0
x=4

x+20=0
x=-20, false since you can't have negative degrees (except in trig)

x=4

legnth=4+16=20 ft

width=4ft

x=4
legnth=20ft
width=4ft

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Can you solve the equation 3/4(6x+9)=14 by using the Division Property of Equality? Explain.

Answers

Division property of equality is dividing both sides of an equation by non zero number. So the answer is No.
Ex: 5p = 15
p = 3
5 x 3 = 15

Para preparar una empanada hay que añadir, entre otros ingredientes, 1/4 kg de atún, 1/6 kg de cebolla, 1/8 kg de pimiento rojo y 2/5 kg de tomates. a) Para una fiesta queremos llevar seis empanadas, ¿qué cantidad de cada ingrediente necesitaremos? b) Con 2 kg de pimiento rojo, ¿cuántas empanadas podríamos hacer?

Answers

Answer:

a. 1.5 kg of tuna, 1 kg of onion, 0.75 kg of red pepper and 2.4 kg of tomatoes

b. 16 empanadas

Step-by-step explanation:

Since each of these ingredients is needed and the recipe is for a single empanada, each ingredient in the recipe must be multiplied by 6 since they are 6 empanadas, like this:

1/4 kg tuna * 6 = 6/4 = 3/2 kg tuna

1/6 kg of onion * 6 = 6/6 = 1 kg of onion

1/8 kg of red pepper * 6 = 6/8 = 3/4 kg of red pepper

2/5 kg of tomatoes * 6 = 12/5 kg of tomatoes

Therefore 1.5 kg of tuna, 1 kg of onion, 0.75 kg of red pepper and 2.4 kg of tomatoes need it.

Now, with 2 kg of red pepper, what we should do is divide this quantity by the quantity for a recipe, like this:

2 / (1/8) = 16

that is to say that with 2 kg of red pepper, a total of 16 empanadas would be made

Holly has 56 peices of paper and 8 paper clips. If she clips the same amount of paper together with each paper clip, how many peices will be clipped together with each paper clip?

Answers

Answer:

56/8 = 7 pieces of paper

Step-by-step explanation:

Answer:

56/7=7

Step-by-step explanation:

Welcome

A school band sold 30 raffle tickets, each labeled with a number from 1 to 30. One winning ticket will be drawn.What is the probability that the number of the winning ticket will be a multiple of 4 or the number 19? Express your answer in simplest form.

Answers

The Correct answer is 4/15 I took the same quiz I got it right.

Multiply the Polynomial
(5a-b)(5a+8b)

Explain.

Answers

$(5a-b)(5a+8b)=(5a*5a)+(5a*8b)+(-b*5a)+(-b*8b)=$ $25a^2+40ab-5ab-8b^2=25a^2+25ab-8b^2$

(5a - b)(5a + 8b)
5a(5a + 8b) - b(5a + 8b)
5a(5a) + 5a(8b) - b(5a) - b(8b)
25a² + 40ab - 5ab - 8b²
25a² + 35ab - 8b²

In a toy store, the ratio of the Barbie doll to Ken doll is 9:3. If the store has 240 dolls, how many Barbie dolls are there in the store?

Answers

Answer:

180 barbie dolls

Step-by-step explanation:

If the ratio of Barbie doll to Ken doll is 9:3, then there are 9x Barbie dolls and 3x Ken dolls in the store. Since the total number of dolls is 240, we can write the following equation:

9x + 3x = 240

Combining like terms, we get:

12x = 240

Dividing both sides by 12, we get:

$\sf (12x)/(12)=(240)/(12)$

x = 20

Therefore, there are 9 × 20 = 180 Barbie dolls in the store.

Answer and Step-by-step explanation:

The ratio of Barbie to Ken dolls is 9:3. This ratio can be further simplified using the greatest common factor. 3 is the GCF between 9 and 3, so you divide both sides of the ratio by 3:

$(9)/(3):(3)/(3)$