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vampirchik [111]
3 years ago
13

A city's sales tax is 0.07 write this decimal as a fraction and tell how many cents of tax are on each dollar

Mathematics
2 answers:
trapecia [35]3 years ago
6 0
As a fraction it is 7/100 and it would be 7 cents for each dollar.  it is $1x.07
Rama09 [41]3 years ago
3 0

we know that

To convert the decimal as fraction in this problem, multiply and divide by one hundred

0.07=0.07*\frac{100}{100}=\frac{0.07*100}{100}=\frac{7}{100}

therefore

the answer Part a) is

the decimal as fraction is equal to \frac{7}{100}

Part b)

we know that

1 dollar is equal to 100 cents

1 cent is equal to 0.01 dollars

the tax is equal to 0.07 dollars

so

by proportion

\frac{100}{1} \frac{cents}{dollar}=\frac{x}{0.07} \frac{cents}{dollars}\\ \\x=100*0.7\\ \\x=7\ cents

the tax is equal to 7 cents

therefore

<u>the answer part b) is </u>

There are 7 cents of tax in each dollar

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Adena, Julius, and Tia volunteered to read to children at the public library. Julius worked two hours less than Tia. Adena worke
mafiozo [28]

Answer:

28 hours

Step-by-step explanation:

Adena, Julius, and Tia volunteered to read to children at the public library.

Let us represent, the number of hours worked by

Adena = x

Julius = y

Tia = z

Julius worked two hours less than Tia.

y = z - 2

z = y + 2

Adena worked twice as many hours as Julius.

x = 2y

Altogether they worked 58 hours.

x + y + z = 58.... Equation 1

We substitute 2y for x and y + 2 for z in Equation 1

2y + y + y + 2 = 58

4y + 2 = 58

Collect like terms

4y = 58 - 2

4y = 56

y = 56/4

y = 14

We are the find the number of hours Adena worked which is represented by x

Note that:

x = 2y

y = 14, hence,

x = 2 × 14

x = 28 hours

Therefore, the number of hours Adena worked is 28 hours

4 0
3 years ago
-2+4(-x+4)=10 using distributive property and collecting like terms
stich3 [128]

Answer:

<h2>x = 1</h2>

Step-by-step explanation:

-2+4(-x+4)=10\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\-2+(4)(-x)+(4)(4)=10\\\\-2-4x+16=10\qquad\text{combine like terms}\\\\-4x+(-2+16)=10\\\\-4x+14=10\qquad\text{subtract 14 from both sides}\\\\-4x+14-14=10-14\\\\-4x=-4\qquad\text{divide both sides by (-4)}\\\\\dfrac{-4x}{-4}=\dfrac{-4}{-4}\\\\x=1

4 0
3 years ago
2x+3y= 14<br>3х - 4 y = 4<br><br>​
goldenfox [79]

The solution to given system of equations are (x, y) = (4, 2)

<em><u>Solution:</u></em>

<em><u>Given system of equations are:</u></em>

2x + 3y = 14 ---------- eqn 1

3x - 4y = 4 --------- eqn 2

We have to solve the given system of equations

We can solve the above system of equations by elimination method

<em><u>Multiply eqn 1 by 3</u></em>

3(2x + 3y = 14)

6x + 9y = 42 --------- eqn 3

<em><u>Multiply eqn 2 by 2</u></em>

2(3x - 4y = 4)

6x - 8y = 8 ----------- eqn 4

<em><u>Subtract eqn 4 from eqn 3</u></em>

6x + 9y = 42

6x - 8y = 8

( - ) --------------

9y + 8y = 42 - 8

17y = 34

<h3>y = 2</h3>

<em><u>Substitute y = 2 in eqn 1</u></em>

2x + 3(2) = 14

2x + 6 = 14

2x = 14 - 6

2x = 8

<h3>x = 4</h3>

Thus the solution to given system of equations are (x, y) = (4, 2)

5 0
3 years ago
T. The entropy change As, for an ideal gas is given by the following formula: dT dV As=1C [c. R T V 7 where T is the thermodynam
MissTica

Answer:

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7 0
2 years ago
Help with these 4 30 points NEED TO BE DONE BEFORE TOMORROW
Vladimir79 [104]

1 is 96 because you must do the inverted T

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