Given: x - 5 > -2. Choose the solution set.

{x | x R, x > -7}
{x | x R, x > -3}
{x | x R, x > 3}
{x | x R, x > 7}

Answers

Answer 1

Answer: first : x-5>-2
x-5+5>-2+5
x>3
{x l x R, x > 3}

Answer 2

Answer:

{x | x R, x > -7} Is the answer

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If a 143-mile trip took 5 1/2 gallons of gas, how many miles can be driven with a full tank of 14 gallons?

Answers

Set up the proportion: 143/5.5 = x/14

Cross-multiply the proportion: (143) (14) = 5.5 x

Divide each side by 5.5 : x = (143) (14) / 5.5 = 364 miles

Coretta has 79 nickels, 31 dimes, 13 quarters , and 9 fifty-cent pieces. How much money does she have?

Answers

Final answer:

We calculated the value of each type of coin that Coretta has, and added these four values together to find that she has a total of $14.80.

Explanation:

Coretta has 79 nickels, 31 dimes, 13 quarters, and 9 fifty-cent pieces. In order to find out the total amount of money she has, we first determine the total value for each type of coin by multiplying the coin's value by the number of such coins Coretta has. We then add up these four totals to get the grand total.

To start, a nickel is worth 5 cents, so 79 nickels is worth 79 * 5 cents = 395 cents. A dime is worth 10 cents, so 31 dimes is worth 31 * 10 cents = 310 cents. A quarter is worth 25 cents, so 13 quarters is worth 13 * 25 cents = 325 cents. A fifty-cent piece is worth 50 cents, so 9 fifty-cent pieces is worth 9 * 50 cents = 450 cents.

To get the grand total in cents, we add these up: 395 + 310 + 325 + 450 = 1480 cents. Dividing by 100 (since there are 100 cents in a dollar), we get $14.80. So, Coretta has $14.80 of coins.

Learn more about Coin Value Calculation here:

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Hello!

A nickel is worth $0.05

Multiply this by the amount of nickels

79 * 0.05 = $3.95

A dime is worth $0.10

31 * 0.10 = $3.10

A quarter is worth 0.25

13 * 0.25 = $3.25

A fifty cent coin is worth 0.50

9 * 0.50 = $4.50

Add all the values you have

4.50 + 3.25 + 3.10 + 3.95 = 14.8

The answer is $14.80

Hope this helps!

Answer correctly thank youuu

Answers

Answer:

2⁴ *3⁵

Step-by-step explanation:

Exponents:

Prime factorize 12.

12 = 2 * 2 * 3 = 2² * 3

12² * 3³ = (2² * 3)² * 3³

Apply exponent law.

$\boxed{(a*b)^m = a^m * b^m}$

$\sf = (2^2)^2*3^2 * 3^3$

Again, apply exponent law

$\boxed{\bf (a^m)^n = a^(m*n)}$

$\sf = 2^(2*2)*3^2*3^3\n\n= 2^4*3^2*3^3$

$\boxed{\bf a^m * a^n = a^(m+n)}$

$\sf = 2^4 * 3^(2+3)\n\n =2^4* 3^5$

Answer: 2⁴ * 3⁵

Step-by-step explanation:

12^2 = ( 4 * 3)^2 = 4^2 3^2

so you have 4^2 * 3^2 * 3^3 =

4^2 * 3^(2+3) =

4^2 * 3^5 =

16 * 3^5 =

16 *243 =3888

What is an equivalent expression for (6^4 *8^-7)^-9

Answers

Answer:

(6⁴ * 8⁻⁷) ⁻⁹

equivalent expressión is:

1 / (6⁴ * 8⁻⁷)⁹

Step-by-step explanation:

(6⁴ * 8⁻⁷) ⁻⁹

= 1 / (6⁴ * 8⁻⁷)⁹

Which expression uses the greatest common factor and distributive property to find 10+50?

Answers

ab+ac=a(b+c) where a is the greatest common factor
find greatest common factor of 10 and 50
10=1,2,5,10
50=1,2,5,10,25,50
greatest common is 10
a=10
10(1)+10(5)=10(1+5)=10(6)=60

Andre bakes some pizza .He puts 24 mushrooms on the veggie pizza.the veggie has 3 times as many mushrooms as the sausage pizza. How many mushrooms are on the sausage pizza