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3 years ago

Laurie filled a container 2/3 full with water. She put 42 2/3 ounces of water in it. What is the capacity of Laurie's container?

Mathematics

1 answer:

Mademuasel [1]3 years ago

7 0

Answer:

64 ounces

Step-by-step explanation:

2/3=42 2/3

1/3=21 1/3

21 1/3*3=64

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Braden's dining room is 6 meters wide and 7 meters long. braden wants to install a new wood floor. it will cost $2.97 per square

Mkey [24]

Area (A) = Length (L) x Width (W)
= 6 m x 7m
= 42 m²

Cost: 42 m² x ($2.97/m²) = $24.74
1

6 0

4 years ago

Write this ratio as a fraction in simplest form without any units. 28 quarts to 9 gallons You can use the table below to help co

jolli1 [7]

Answer:

7/9

Step-by-step explanation:

In order to write the fraction without any units (as a pure number), we must have units in the numerator and denominator that are the same. Then the units cancel.

<h3>Convert to gallons</h3>

We are given the conversion ...

4 quarts = 1 gallon

Multiplying by 7, we see ...

28 quarts = 7 gallons

<h3>Ratio</h3>

This lets us write the desired fraction as ...

(28 quarts)/(9 gallons) = (7 gallons)/(9 gallons) = 7/9

The ratio in simplest form is 7/9.

4 0

2 years ago

What is 5(n- 1/10) = 1/2

Olegator [25]

Answer:

1/5

Step-by-step explanation:

In order to find the answer, we need to isolate the "n."

Get 5 to the other side by dividing both sides by 5

(n-1/10)= 1/2 ÷(5)

Multiply the 2 and the 5 of the equation.

(n-1/10)= 1/10

Next, move the fraction on the left side, to the right.

n= 2/10

Reduce.

n= 1/5

5 0

3 years ago

(Picture) MULTIPLYING POLYNOMIALS AND SIMPLIFYING EXPRESSIONS PLEASE HELP!!!!

kvv77 [185]

Answer:

Answer: Third option is the right answer.

Step-by-step explanation:

First we the write the expression

$(a+b)(a^{2}+b^{2}-ab)$

Now teacher says that the product of these polynomials will result in the sum of $a^{3}+b^{3}$

Now the teacher ask if we put the value of a = 2x and b = 1 then what will be the expression look like.

$(2x+1)\left [ (2x)^{2}+(1^{2})-(2x)(1)\right ]$

= $(2x+1)(4x^{2}+1-2x)$

So third option is looking like our expression.

3 0

3 years ago

Plz help me with this

AnnZ [28]

Answer: $\bold{A)\quad y=5sin\bigg(\dfrac{6}{5}x-\pi\bigg)-4}$

<u>Step-by-step explanation:</u>

The general form of a sin/cos function is: y = A sin/cos (Bx-C) + D where the period (P) = 2π ÷ B

In the given function, $B=\dfrac{6}{5}$ → $P=2\pi \cdot \dfrac{5}{6}=\dfrac{10\pi}{3}$

Half of that period is: $\dfrac{1}{2}\cdot \dfrac{10\pi}{3}=\large\boxed{\dfrac{5\pi}{3}}$

Calculate the period for each of the options to find a match:

$A)\quad B=\dfrac{6}{5}:\quad 2\pi \div \dfrac{6}{5}=2\pi \cdot \dfrac{5}{6}=\dfrac{5\pi}{3}\quad \leftarrow\text{THIS WORKS!}\\\\\\B)\quad B=\dfrac{6}{10}:\quad 2\pi \div \dfrac{6}{10}=2\pi \cdot \dfrac{10}{6}=\dfrac{10\pi}{3}\\\\\\C)\quad B=\dfrac{5}{6}:\quad 2\pi \div \dfrac{5}{6}=2\pi \cdot \dfrac{6}{5}=\dfrac{12\pi}{5}\\\\\\D)\quad B=\dfrac{3}{10}:\quad 2\pi \div \dfrac{3}{10}=2\pi \cdot \dfrac{10}{3}=\dfrac{20\pi}{3}$

7 0

3 years ago