Simplify the expression: 5+12 divided by 2x2

volume = length x width x depth

50cm = 0.5 m

7.35 = 4.2 x 0.5 x X

7.35 = 2.1 x  X

x = 7.35 / 2.1

x = 3.5

width = 3.5 meters

Answer: 3.5 meters

Step-by-step explanation:

Given : The volume of a new pond = [tex]7.35\ m^3[/tex]

The length of a new pond = 4.2 m

The depth of the pond = 50 cm =0.5 m

Let the width of the pond be 'w'.

The volume of cuboid is given by :_

[tex]V=l\times h\times w\\\\\Rightarrow\ 7.35=4.2\times0.5\times w\\\\\Rightarrow\ w=\dfrac{7.35}{0.5\times4.2}\Rightarrow\ w=3.5[/tex]

Hence, the width of the pond = 3.5 meters

Answer:

The [tex](goh)(9)=5[/tex]

Step-by-step explanation:

We need to find out the [tex](goh)(9)[/tex]

Given:- [tex]g(x)=2x-1[/tex] and [tex]h(x)=\sqrt{x}[/tex]

First we need to find out the composition of (gof)(x)

Replace x in function g(x) with h(x) as;

[tex](goh)(x)=2(h(x))-1[/tex]

[tex](goh)(x)=2(\sqrt{x})-1[/tex]

Now put x=9 , in above to get the [tex](goh)(9)[/tex]

[tex](goh)(9)=2(\sqrt{9})-1[/tex]

[tex](goh)(9)=2(3)-1[/tex]

[tex](goh)(9)=6-1[/tex]

[tex](goh)(9)=5[/tex]

Therefore, [tex](goh)(9)=5[/tex]

In the equation 4(y - 30) =4y + 12, the correct option is no solution. Therefore, option A is correct.

Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation. For an unknown quantity represented by an unknown variable, equations are then solved to determine its value. It is clear that a statement is not even an equation if there is no "equal to" sign in it.

Let's solve the equation,

4(y - 30) =4y + 12

4y - 120 = 4y + 12

The value of 4y is got cancelled from both the sides, then the equation has no solution.

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The fraction 10/4 written as a mixed number is 2 1/2

Given the improper fraction :

To convert to a mixed number ; divide Numerator by denominator and express the remainder as a fraction

10/4 = 2 2/4

Express in its simplest form:

Hence, the mixed number value is 2 1/2

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The sales tax on clothing that costs $180 with a sales tax rate of 6% would be $10.80.

We have,

To calculate the sales tax on clothing that costs $180 with a sales tax rate of 6%, you can use the following formula:

Sales Tax = (Sales Price) x (Tax Rate)

Substituting the given values:

6% = 6/100 = 0,06

So,

Sales Tax = $180 x 0.06

Calculating the result:

Sales Tax = $10.80

Therefore,

The sales tax on clothing that costs $180 with a sales tax rate of 6% would be $10.80.

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Answer: 7 sections.

Step-by-step explanation:

Given : Jason draws a line in the sand at the beach.

The line is [tex]\dfrac{7}{8}[/tex] ft long.

He wants to divide the line into sections that are each  [tex]\dfrac{1}{8}[/tex] ft long.

Then, the number of section will the line be divided into is given by using division operation:-

[tex]\dfrac{7}{8}\div\dfrac{1}{8}[/tex]

[tex]\dfrac{7}{8}\times8=7[/tex]  [Change [tex]\dfrac{1}{8}[/tex] by its reciproval (8) to convert division operation into multiplication]

Hence, the line will divided into 7 sections.

Answer:

Dominoes costs the least per toy.

Step-by-step explanation:

From the given table it is clear that

Cost of 6-pack of Dominoes = $3.98

Cost of 1-pack of Dominoes = [tex]\frac{\$3.98}{6}\approx \$0.663[/tex]

The cost of 1-pack of Dominoes is $0.663.

Cost of 12-pack of Peg Games = $9.99

Cost of 1-pack of Peg Games = [tex]\frac{\$9.99}{12}=\$0.8325[/tex]

The cost of 1-pack of Peg Games is $0.8325.

Cost of 24-pack of Mini Footballs = $17.98

Cost of 1-pack of Mini Footballs = [tex]\frac{\$17.98}{24}\approx $0.75[/tex]

The cost of 1-pack of Mini Footballs is $0.75.

$0.663 is less than $0.8325 and $0.75. It means dominoes costs the least per toy.

1/2 gallon = 64 ounces

3 1/2 pints = 56 ounces

10 3/4 cups = 28.4 ounces

2 1/4 quarts = 72 ounces

 so least to greatest:

10 3/4 cups, 48 oz.,  3 1/2 pints, 1/2 gallon,  2 1/4 quarts

Answer:

It is 15.

Step-by-step explanation:

Because the actual answer between 28 x 0.64 is 17.92.

The closest estimate for the multiplication of 28 by 0.64, is approximately 19 and given the options, 15 would be the best choice.

The question is asking for the closest estimate for a multiplication problem, 28 times 0.64. We can convert the decimal 0.64 to a fraction which is approximately 2/3 (as 0.67 is closer to 0.64 than 0.5 - which would be 1/2). Hence, when multiplying 28 by 2/3, we get approximately 19.

Looking at the options given, 19 is not there. So, we select the nearest option to 19 which, in this case, it would be option B. 15.

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Answer:

6.95 gallons/month

Step-by-step explanation:

We are given that In 8 months, 55.6 gallons were used

Amount used in 8 months = 55.6 gallons

We are supposed to find amount used per month i.e. unit rate

So, Amount used in 8 months = 55.6 gallons

Amount used in 1 month = [tex]\frac{55.6}{8}[/tex] gallons

Amount used in 1 month = [tex]6.95[/tex] gallons

So, 6.95 gallons were used in 1 month

Hence the unit rate is 6.95 gallons/month

Answer:

It takes 8 minutes and 20 seconds for the light to travel this distance

Step-by-step explanation:

Velocity is calculated as:

V= d/t (1)

Where d is distance and t is time. As we want to find time t we must simplify (1) for t

t= d/V (2)

We replacethe values given:

t=d/V=1.5*10^8/3.0*10^5=5*10^3 = 500 seconds

As there are 60 seconds in a minute we find

minutes = 500/60 = 50/6 = 25/3 = 8 2/3 or 8 minutes 20 seconds