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3 years ago

Translate this sentence into an equation: 162 is the product of 9 and Gall's age. Use the variable g to represent Gall's age.

Mathematics

1 answer:

oksano4ka [1.4K]3 years ago

8 0

The equation is
9 × g = 162
9g = 162

Solving foe Gall's age,
9g = 162
g = 162 ÷ 9
g = 18

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Pls help me on this.......

Ganezh [65]

Hey there!

Your answer is $-4x+7$

Here are the steps to solve:

Given:

$-5x-(x-7)$

Distribute negative sign:

$-5x+x+7$

Add like terms:

$-4x+7$

Have a great day! Hope it helped!

7 0

3 years ago

A 5-gallon jug of cleaning solution contains 6% bleach. How much pure water should be added to it to dilute to 4% bleach?

mihalych1998 [28]

Let's bear in mind that 5 gallons with a solution of 6% bleach, contains some water plus some bleach, how much bleach? well, is just 6% of 5 gallons or namely (6/100) * 5 gallons, or 0.30 gallons.

if we use "x" gallons of water, well pure water has no bleach, so is 0% bleach, and it has a (0/100) * x or 0x gallons of bleach.

the mixture will be say "y" gallons, and is 4% bleach, so (4/100) * y is 0.04y gallons in the mixture of bleach.

$\bf \begin{array}{lcccl}
&\stackrel{gallons}{quantity}&\stackrel{\textit{\% of bleach}}{amount}&\stackrel{\textit{gallons of bleach}}{amount}\\
&------&------&------\\
\textit{pure water}&x&0.00&0x\\
\textit{6\% solution}&5&0.06&0.3\\
-----&------&------&------\\
mixture&y&0.04&0.04y
\end{array}
\\\\\\
\begin{cases}
x+5=\boxed{y}\\
0x+0.3=0.04y\\
---------\\
0.3=0.04\left( \boxed{x+5} \right)
\end{cases}
\\\\\\
0.3=0.04x+0.2\implies 0.1=0.04x\implies \cfrac{0.1}{0.04}=x\implies 2.5=x$

3 0

3 years ago

The perimeter of a standard-sized rectangular rug is 36 ft. The length is 2 ft longer than the width. Find the dimensions

Allushta [10]

The length is 11ft and the width is 7ft

4 0

3 years ago

Read 2 more answers

Pamela drove her car 99 kilometers and used 9 liters of fuel. She wants to know how many kilometers (k)left parenthesis, k, righ

EastWind [94]

Answer:

132 kilo meters

Step-by-step explanation:

Pro por tions:

9 lite rs ⇒ 99 km

12 lite rs ⇒ P km

P = 99*12/9

P = 132 km

8 0

3 years ago

Could some one plz help me with this question

zhuklara [117]

Answer:

Step-by-step explanation:

The formula for this type of interest is $A=P(1+\frac{r}{n})^{nt}$ , where A is the total amount, P is the initial investment, x is the interest rate, n is the amount of times that the investment is compounded a year, and t is the amount of years. Plugging in the numbers given, you get:

$A=1800(1+\frac{0.025}{2})^{2\cdot 12}=$

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Now, she invests this into a new account, and you can set up the following equation:

$A=2425.23(1+\frac{0.04}{12})^{12\cdot 7}=$

$2425.23(1.0033333)^{84}\approx 3207.40$ , or option A.

Hope this helps!

3 0

3 years ago