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Agata [3.3K]
3 years ago
12

Multiply each equation by a constant that would help to eliminate the y terms. 2x-5y=-21 3x-3y=-18 What are the resulting equati

ons?
Mathematics
1 answer:
anyanavicka [17]3 years ago
8 0

Answer:

6x - 15y = -63

15x -15y = -90

Step-by-step explanation:

We need to multiply the two equations by a constant that will eliminate the y terms.

The two equations are:

2x - 5y = -21

3x - 3y = -18

Let us multiply the first by 3 and the second by 6. The resulting equations will be:

6x - 15y = -63

15x -15y = -90

Note: To solve the system of equations we can simply subtract the first from the second.

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Find the perimeter of the figure
Naddika [18.5K]
Perimeter of the arc = 1/2 πD
Perimeter of the arc = 1/2 x π x (16 x 2) 
Perimeter of the arc = 50.27mm (Nearest hundredth)

Perimeter of the figure = 50.27 + 20 + 20 = 90.27mm 

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Answer: Perimeter = 90.27 mm
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6 0
3 years ago
The perimeter of a triangle is 240 cm. The lengths of the sides are 3:4:5.Calculate the lengths of the longest and shortest side
Ugo [173]

Answer:

60cm and 100cm

Step-by-step explanation:

12 parts in total

240/12 is 20

each part is 20

3x20 is 60 and 5x20 is 100

7 0
2 years ago
Drag each response to the correct location on the table. Each response can be used more than once, but not all responses will be
melamori03 [73]

The equation is y = 250(0.89)^x and the decay rate is 11%.

<h3>How to calculate the values?</h3>

The initial value will be:

= 250(0.89)^x

= 250(0.89^0)

= 250

The decay rate will be:

= 1 - 0.89

= 0.11

= 11%

In conclusion, the equation is y = 250(0.89)^x and the decay rate is 11%.

Learn more about decay rate on:

brainly.com/question/12891601

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5 0
2 years ago
Mark invests $4200 in two different accounts. The first account paid 3 %, the second account paid 7 % in interest. At the end of
nexus9112 [7]

Answer:

3% interest account = $2,700

7% interest account = $1,500

Step-by-step explanation:

We have to use equation to find the answer. Again, we are using simple interest to find how much is in each account.

We know, Interest = Capital x Interest rate x year

Let,

3% interest account = X

7% interest account = Y

According to the question,

X*0.03*1 + Y*0.07*1 = 186 ................. (i)

Again, X + Y = 4200 .................. (ii)

From equation (Ii), we get,

or X = 4,200 - Y ...................... (iii)

Putting the value of X in equation (i), we can get,

(4,200 - Y)*0.03*1 + Y*0.07*1 = 186

or, 126 - 0.03Y + 0.07Y = 186

or, 0.04Y = 186-126

or, 0.04Y = 60

or, Y = 1,500

Putting Y = 1,500 in equation (iii), we get

X = 4,200 - 1,500

X = 2,700

Therefore, 3% account had $2,700 balance

7% account had $1,500 balance.

8 0
2 years ago
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