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Anvisha [2.4K]
1 year ago
13

116Mixed Practice #91.Write the area of the largest figure using two differentexpressions. All four-sided figures are rectangles

.х2y3552Which of the following is cauivalent to the expressionwhen x +0?

Mathematics
1 answer:
Scrat [10]1 year ago
4 0

9)

We are given:

The largest rectangle has 3 rectangles:

Rectangle 1 has a length of x & a width of 5

Rectangle 2 has a length of 2y & a width of 5

Rectangle 3 has a length of 3 & a width of 5

The area is given by:

\begin{gathered} A=l\times w \\ A=x\cdot5+2y\cdot5+3\cdot5 \\ A=5x+10y+15 \\  \\ \therefore Area=5x+10y+15 \end{gathered}

OR

\begin{gathered} Area=length\times width \\ Area=5(x+2y+3) \\  \\ \therefore Area=5(x+2y+3) \end{gathered}

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!SUBSTITUTION METHOD!<br><br>6y - 5z = -8 <br>3z = -6 <br>4x - 3y - 2z= 21​
hichkok12 [17]

Answer:

<h2>x = 2 </h2><h2>y = - 3</h2><h2>z = - 2</h2>

Step-by-step explanation:

6y - 5z = -8 .......... Equation 1

3z = -6 ................... Equation 2

4x - 3y - 2z= 21...... Equation 3

<u>First solve for z in Equation 2</u>

That's

3z = - 6

Divide both sides by 3

<h3>z = - 2</h3>

Next substitute the value of z into Equation 1 in order to find y

We have

6y - 5(-2) = - 8

6y + 10 = - 8

6y = - 8 - 10

6y = - 18

Divide both sides by 6

<h3>y = - 3</h3>

Finally substitute the values of y and z into Equation 3 to find the value of x

That's

4x - 3(-3) - 2(-2) = 21

4x + 9 + 4 = 21

4x + 13 = 21

4x = 21 - 13

4x = 8

Divide both sides by 4

<h3>x = 2</h3>

So the solutions are

<h3>x = 2 </h3><h3>y = - 3</h3><h3>z = - 2</h3>

Hope this helps you

3 0
3 years ago
Jordan flipped a coin 492 times. Which of the following would be a good estimate of the number of times the coin landed on heads
Irina-Kira [14]
I'd say B. but that's only because I divided the number of times he flipped the coin by the number of sides it has, 2, and came up with 246. The closest number on here to that is 231 or B. I hope I helped.
6 0
3 years ago
Read 2 more answers
HELP ASAP! PLS!! The Water Department checks the city water supply on a regular basis for
aleksandr82 [10.1K]

Answer:

B. 95% confident the average concentration of PCBs in the water supply is between 2.9 ppb and 3.5 ppb

Step-by-step explanation:

You are given the total number of samples, the concentration of lead, and the standard deviation. The standard deviation represents how inaccurate the estimation of the concentration of lead in the drinking water. This means that there can only possibly be a 0.3 ppb error in the estimation. 3.2-0.3=2.9, and 3.2+0.3=3.5

8 0
3 years ago
Read 2 more answers
An Internet service provider charges $9.95/month for the first 20 hours and $0.50 for each additional hour. Write an expression
inn [45]
I= 9.95 + .5h

20-35=15
I = 9.95+.5(15)
9.95+7.5
I = 17.45

If you used the internet for 35 hours, your bill would be $17.45
3 0
3 years ago
Read 2 more answers
-12.11-10.5=75.6-3.5x
Inessa [10]

Answer:

x = 28.06

Step-by-step explanation:

-12.11-10.5=75.6-3.5x

Put all the integers on one side and X on the other.

-12.11 - 10.5 - 75.5 = -3.5x

-98.21 = -3.5x

-98.21/-3.5 = x

x = 28.06

7 0
3 years ago
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