Solve: 8+2x-12=58 i need help please asap.
2 answers:
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Answer:
7) x + 0.09x, where x is the price of the car
8) x + 0.05x where x is the price of clothing
9) It will take michael about 9.14 minutes to eat 32 cookies.
Step-by-step explanation:
7) 9% of x is the same as 0.09x, so you can write this:
x + 0.09x, where x is the price of the car
8) same thing for this one
x + 0.05x where x is the price of clothing
9) michael can eat cookies at a rate of 21 cookies per 6 minutes, or
Because he will be eating them at the same pace, you can write an equation and solve for the variable:
=
cross multiply the proportion:
21 × y = 32 × 6
solve:
21y = 192
y ≈ 9.14
It will take michael about 9.14 minutes to eat 32 cookies.
This works because they both simplify to 3.5 cookies per minute
= 3.5
= 3.5
<em><u>Question:</u></em>
At a sale on winter clothing, Cody bought two pairs of gloves and four hats for $43.00. Tori bought two pairs of gloves and two hats for $30.00. What were the prices for the gloves and hats?
<em><u>Answer:</u></em>
Price of one pair of gloves is $ 8.5 and price of 1 hat is $ 6.5
<em><u>Solution:</u></em>
Let "g" be the price of one pair of gloves
Let "h" be the price of 1 hat
<em><u>Cody bought 2 pair of gloves and 4 hats for $43</u></em>
Therefore, we frame a equation as:
2 x price of one pair of gloves + 4 x price of 1 hat = 43
2g + 4h = 43 ----------- eqn 1
<em><u>Tori bought two pairs of gloves and two hats for $30.00</u></em>
Therefore, we frame a equation as:
2 x price of one pair of gloves + 2 x price of 1 hat = 30
2g + 2h = 30
Divide by 2
g + h = 15
g = 15 - h ----------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
<em><u>Substitute eqn 2 in eqn 1</u></em>
2(15 - h) + 4h = 43
30 - 2h + 4h = 43
2h = 43 - 30
2h = 13
<h3>h = 6.5</h3><em><u>Substitute h = 6.5 in eqn 2</u></em>
g = 15 - 6.5
<h3>g = 8.5</h3>Thus price of one pair of gloves is $ 8.5 and price of 1 hat is $ 6.5