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son4ous [18]
3 years ago
11

Help!!! will give brainlyest if explained

Mathematics
1 answer:
7nadin3 [17]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

2x - 3y = - 2 → (1)

4x + y = 24 → (2)

Multiplying (1) by - 2 and adding to (2) gives

- 4x + 6y = 4 → (3)

Add (2) and (3) term by term

(4x - 4x) + (y + 6y) = (24 + 4), that is

7y = 28 ( divide both sides by 7 )

y = 4

Substitute y = 4 into either of the 2 equations

Substituting y = 4 into (2)

4x + 4 = 24 ( subtract 4 from both sides )

4x = 20 ( divide both sides by 4 )

x = 5

Thus the answers x = 5 and y = 4 are the same as her first method

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The true statement is : Line p must be drawn so that it can lie on the same plane as line l

Step-by-step explanation:

From the diagram line l lies on plane A. When line p is drawn to be parallel to line l, it has to appear on plane A. This means that line p will be parallel to line l and perpendicular to line n that lies on plane B

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6 0
3 years ago
On​ Melissa's 6th​ birthday, she gets a ​$5000 CD that earns ​3% ​interest, compounded . If the CD matures on her 10th ​birthday
amid [387]

Answer:

$5,632.45

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Assuming it is compounded semiannually, A(t) = P(1 + (r/n))^(n*t)

A(4) = 5000*(1 + (0.03/2))^(2*4)

A(4) = 5,000*(1.015)^8

A(4) = 5,000*1.12649

A(4) = $5,632.45

3 0
2 years ago
3 consecutive odd integers such that the sum of twice the first and three times the second is 55 more than twice the third
den301095 [7]

Answer:

Consecutive odd integers are 19 , 21 & 23

Step-by-step explanation:

Let the first 3 consecutive odd intergers be x , (x + 2) and (x + 4).

According to the question,

2x + 3(x + 2) = 2(x + 4) + 55

=  > 2x + 3x + 6 = 2x + 8 + 55

Eliminating 2x from both the sides,

=  > 3x + 6 = 63

=  > 3x = 63 - 6 = 57

=  > x =  \frac{57}{3}  = 19

So, the consecutive odd integers are = 19 , 21 & 23.

3 0
2 years ago
Tanya is 42 years old. she would like to open aretirement account so she will have half a million dollars in the account when sh
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Let the total amount that Sarah deposited be $x
using the annuity formula:
A=P[((1+r)^n-1)/r]
A=future value
r=rate
n=number of years
from the information given:
A=$500000
r=2.75%
n=65-42=23 years
p=$x
thus plugging our values in the formula we get:
500000=x[((1+0.0275)^(23)-1)/(0.0275)]
500000=31.50x
x=15,872.04883
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7 0
3 years ago
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MrRissso [65]

James Fenimore Cooper used his words to connect Fine Arts and the Changes in American culture by writing about America's Westward expansion and the Indians in this first western novel.

<h3>What did James Fenimore Cooper write in his first novels?</h3>

James Fenimore Cooper based his first western novels on themes relating to:

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Learn more about James Fenimore Cooper at:

brainly.com/question/3886133

3 0
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