1/2b+9/4=7/4 solve the equation

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

C. An even number plus 3 is always odd.

Prime number: A number that can only be divided by 1 and itself. For example 7, 11, etc

Odd number: Any number that cannot be divided by 2. For example 3, 5, 7, etc

Even number: Any number than can be divided by 2. For example: 4, 6, 8, etc

If we add 2,4,6 or 1000 to 3, the resultant will be always odd. If we add 2 to 3, we will get 5 which is an odd number. If we add 8 to 3, you will get 11 which is an odd number.

So, the conjecture is :

An even number plus 3 is always odd.

Therefore the correct option is (c).

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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.

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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The simplified value of the given expression 3(4x+6)+7x, is 19x+18

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Mathematical expressions have only numbers and operators, while algebraic expressions have both numbers and variables in terms, separated by operators in between.

For example, 4m + 5 is an expression where 4m and 5 are the terms and m is the variable of the given expression separated by the arithmetic sign +.

Given that, is an expression 3(4x+6)+7x, we need to simplify it,

3(4x+6)+7x

By the Distributive property, multiplying by 3,

3(4x+6)+7x

= 12x+18+7x

Rearranging the terms,

= 12x+7x+18

Adding the like terms,

= 19x+18

Hence, the simplified value of the given expression 3(4x+6)+7x, is 19x+18

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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

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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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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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]

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

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