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3 years ago

What is the value of x in this equation? 6x -35= -5x+9. Please show work. Thanks!

Mathematics

1 answer:

gtnhenbr [62]3 years ago

8 0

You said: 6x - 35 = -5x + 9

Add 5x to each side: 11x - 35 = 9

Add 35 to each side: 11x = 44

Divide each side by 11: x = 4

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The width of a rectangle is 7 meters greater than its length. If the area of the rectangle is 170 square meters, write the quadr

Luden [163]

It would be (x)(x+7)=170
If you want it solved, then you would get:
$x^{2} +7x-170$ =0
(x+17)(x-10)=0
And since you can't have a negative length (-17), x=10
So your side lengths would be 10 and 17 (10+7), which would give you an area of 170.
Hope that helps.

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2 years ago

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A gallon of water a room temperature Waze about 8.35 pounds Lena put 4.5 gallons in a bucket how much does the water weight

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I believe its 37.58, but I may be wrong

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Undersea explorers discover a second sentient race living on Earth. This species is scientifically much more advanced but cannot

Pavel [41]

Answer:

46 cm

Step-by-step explanation:

Let p represent the length in cm of 1 bap'ai; let k represent the length in cm of 1 bok'ai. Then we have ...

12p +2k = 100

10p +10k = 100

Subtracting the second equation from 5 times the first, we get ...

5(12p +2k) -(10p +10k) = 5(100) -(100)

50p = 400

p = 8 . . . . cm

Then the second equation tells us ...

10(8) +10k = 100

10k = 20

k = 2 . . . . cm

Then 5p+3k = 5(8) +3(2) = 46 cm.

The distance 5 bap'ai and 3 bok'ai is 46 cm.

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2 years ago

Please answer ASAP and if you do you will get Brainliest. Catherine buys a gallon of ice cream from the store. After taking it h

rodikova [14]

Answer:

Catherine's sister ate 2/15 gallons of the ice cream.

$\displaystyle \frac{2}{15}$ .

Step-by-step explanation:

Let $x$ be the amount of ice cream that Catherine's sister ate, in gallons.

Original amount: 1 gallon.

What Catherine ate: $\displaystyle \frac{1}{5}$ gallons.
What Catherine's sister ate is assumed to be $x$ gallons.

What's left: $\displaystyle \frac{2}{3}$ gallons.

Consider the relationship:

$\text{Original amount - What Catherine ate - What Catherine's Sister ate}\\ =\text{ What's left.}$ .

That is:

$\displaystyle 1- \frac{1}{5} - x = \frac{2}{3}$ .

Add $x$ to both sides of this equation:

$\displaystyle 1 - \frac{1}{5} = \frac{2}{3} +x$

Substract $\displaystyle \frac{2}{3}$ from both sides:

$\displaystyle 1 - \frac{1}{5} - \frac{2}{3} = x$ .

Convert the denominator of all three numbers on the left-hand side to $3 \times 5 = 15$

$\displaystyle \frac{15}{15} - \frac{3}{15} - \frac{10}{15} = x$ .

$\displaystyle x = \frac{2}{15}$ .

In other words, Catherine's sister ate $\displaystyle \frac{2}{15}$ gallons of the ice cream.

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2 years ago

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Aleksandr [31]

$\bf ~~~~~~ \stackrel{daily}{\textit{Continuously Compounding Interest Earned Amount}}\\\\
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\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$3150.37\\
r=rate\to 4.1\%\to \frac{4.1}{100}\to &0.041\\
t=years\to &20
\end{cases}
\\\\\\
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how much interest is there? well, A - 3150.37.

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2 years ago