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balandron [24]
3 years ago
10

Will give brainliest to whoever replies with the correct answer. (Question is in the image)

Mathematics
1 answer:
EastWind [94]3 years ago
5 0

Answer:x = 7

Step-by-step explanation:

Similar figures have sides that are proportional.  Setting up a proportion for the sides of the figures will help solve for 'x':

Cross-multiply:  3(x + 1) = 6(x - 3)

Distribute:  3x + 3 = 6x - 18

Combine like terms:  21 = 3x

Solve for 'x':  x = 7

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Which represents the solution(s) of the system of equations, y = -x2 + 6x + 16 and y = - 4x + 37? Determine the solution set
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Answer:

The answer is c

Step-by-step explanation:

(7,9) (3,25)

3 0
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In a group of 50 patrons, 12 patrons like lattes and espressos, 9 patrons like espressos and cappuccinos, 8 patrons like lattes
quester [9]
I used a Venn Diagram which I attached.
Think of it as a flower and work your way from the center out to the doubles (two kinds of coffee) and finally the singles (only one kind of coffee)
I place 4 in the center to represent the people that like all three.
Then I put 8 in the Latte Espresso group since they along with the 4 who like all three, make up the 12 who like lattes and espresso.  I put 4 in the Latte & Cappuccino group since they and the 4 who like all coffees, make up the 8 who like lattes and cappuccinos. And then I put 5 in the Espresso Cappuccino group who along with the 4 in the middle make up the 9 who like both of those.
In all 20 like lattes and my latte circle already has 16 so I added 4 (who only like lattes).  22 like espresso and I have accounted for 17 (8+4+5) so that means there are 5 who only like espresso.  Finally out of the 17 who like cappuccinos, 13 are already accounted for so I will add 4 who like only cappuccinos.
Since there are 50 people and I can account for 34 of them (add all the numbers in all three circles), there must be 50-34 people who don't like any.  The correct answer is d.16
Download docx
3 0
3 years ago
Read 2 more answers
Jane’s buying clothes. She can get 5 shirts &amp; 4 sweaters for $229 or she can get 2 shirts &amp; 3 sweaters for $128. How muc
makkiz [27]

Cost of 1 shirt is \$25 and cost of one sweater is \$26

<u>Solution: </u>

Given that  Jane’s buying clothes.

She can get 5 shirts & 4 sweaters for \$229

She can get 2 shirts & 3 sweaters for \$128

Need to determine cost of 1 shirt and 1 sweater.

Let assume cost of 1 shirt = \$x

And assume cost of 1 sweater = \$y

Let us create equations from give conditions

First condition is Cost of 5 shirt + cost of 4 sweater = \$229

\begin{array}{l}{\text { cost of 5 shirts }=5 \times \text { cost of 1 shirt }=5 \times x=5 x} \\\\ {\text { cost of 4 sweater }=4 \times \text { cost of 1 sweater }=4 \times y=4 y}\end{array}

So using first condition equation which we get is as follows

5 x+4 y=229 \rightarrow (1)

Second condition is Cost of 5 shirt + cost of 4 sweater = \$128

\begin{array}{c}{\text { cost of } 2 \text { shirts }=2 \times \text { cost of } 1 \text { shirt }=2 \times x=2 x} \\\\ {\text { cost of } 3 \text { sweater }=3 \times \text { cost of } 1 \text { sweater }=3 \times y=3 y}\end{array}

So using second condition equation which we get is as follows

2 \mathrm{x}+3 \mathrm{y}=128\quad\rightarrow (2)

Now we have two equations to be solved

\begin{array}{l}{5 x+4 y=229 \rightarrow (1)} \\\\ {2 x+3 y=128 \rightarrow (2)}\end{array}

On multiplying equation (1) by 2 and equation (2) by 5 to make coefficients of x equal in both equations, we get

\begin{array}{l}{2 x(5 x+4 y)=2\times 229} \\\\ {10 x+8 y=458 \rightarrow (3)} \\\\ {5 x(2 x+3 y)=5 \times 128} \\\\ {10 x+15 y=640 \rightarrow (4)}\end{array}

On subtracting (3) from (4), we get

\begin{array}{l}{(10 \mathrm{x}-10 \mathrm{x})+(15 \mathrm{y}-8 \mathrm{y})=640-458} \\\\ {\Rightarrow 7 \mathrm{y}=182} \\\\ {\Rightarrow \mathrm{y}=\frac{182}{7}=26}\end{array}

On substituting y = 26 in equation (1) we get

\begin{array}{l}{\Rightarrow 5 \mathrm{x}+(4 \times 26)=229} \\\\ {\Rightarrow 5 \mathrm{x}=229-104} \\\\ {\Rightarrow 5 \mathrm{x}=125} \\\\ {\Rightarrow \mathrm{x}=\frac{125}{5}=25}\end{array}

Cost of 1 shirt = \$x = \$25

Cost of 1 sweater = \$y = \$26  

7 0
3 years ago
I need help asap or ill fail pls<br> what is 1000-10+10
jeka57 [31]
Your answer is 1000
7 0
3 years ago
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