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kozerog [31]
2 years ago
13

The area of Brian’s rectangular garden, in square feet, can be found by using the expression 6(2x+5y). Use the distributive prop

erty to write an equivalent expression for the area of Brian’s garden
Mathematics
1 answer:
Zielflug [23.3K]2 years ago
8 0

Answer:

12x + 30y square units

Step-by-step explanation:

Perform the indicated multiplication:  6(2x + 5y) = 12x + 30y square units

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A test is worth 100 points. The test is made up of 40 items. Each item is worth either 2 points or 3 points. Which matrix equati
lidiya [134]

Answer:

Total number of points in the test = 100

Total number of items in the test = 40

Let number of items of 2 points be x and number of items of 3 points be y.

Now, using the given information the situation can be represented by using the following equations :

⇒ x + y = 40 .........(1)

⇒ 2x + 3y = 100 .........(2)

The matrix equation is :

\begin{bmatrix}1 & 1\\ 2& 3\end{bmatrix}\cdot \begin{bmatrix}x\\ y\end{bmatrix}=\begin{bmatrix}40\\ 100\end{bmatrix}

By solving the equation (1) and equation (2), we get :

Solution : x = 20 and y = 20

4 0
3 years ago
Read 2 more answers
What are the solutions of the equation?<br> X - 10=3
Nookie1986 [14]

Answer: X = 13

Step-by-step explanation:

10 + 3 = 13

13 - 10 = 3

4 0
2 years ago
GIVING BRAILEST<br> Describe a situation that the equation could represent g+3<br> _____ =15<br> 6
krek1111 [17]

Answer:

g=153

Step-by-step explanation:

i hope this helped...

6 0
2 years ago
A Tourist Information Center is between a Bus Station and a Train Station. When mapped on a grid, the Train Station is located a
galben [10]

Answer:

X = 9 and Y = 8

Step-by-step explanation:

We are to find the midpoint of the coordinates  (13,15) and  (5,1).

Using the midpoint formula;

M(X, Y) = [(x1+x2)/2, (y1+y2)/2]

X = (x1+x2)/2

Y = (y1+y2)/2

From the coordinates, x1 = 13, y1 = 15, x2 = 5 and y2 = 1

X = 13+5/2

X = 18/2

X = 9

Similarly;

Y = 15+1/2

Y = 16/2

Y = 8

Hence The Tourist Information Center is located at point X = 9 and Y = 8

4 0
3 years ago
n a study of cell phone use and brain hemispheric​ dominance, an Internet survey was​ e-mailed to 2472 subjects randomly selecte
Leona [35]

Answer:

0.3876<p<0.4389

Step-by-step explanation:

-Given n=2472, \ x=1022 , \ CI=0.99

-We calculate the proportion of surveys returned:

\hat p=\frac{1022}{2472}\\\\=0.4134

For a 99% confidence interval:

z_{\alpha/2}=2.576

#The margin of error is calculated as;

ME=z_{0.005}\times \sqrt{\frac{\hat p(1-\hat p)}{n}}\\\\=2.576\times \sqrt{\frac{0.4134(1-0.4134)}{2472}}\\\\=0.0255

The confidence interval are then:

CI=\hat p\pm ME\\\\=0.4134\pm 0.0255\\\\=[0.3876,0.4389]

Hence, the confidence interval is 0.3876<p<0.4389

5 0
3 years ago
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