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kifflom [539]
2 years ago
10

Solve for the variable! 4 questions! Need to turn it in soon so ASAP!

Mathematics
1 answer:
d1i1m1o1n [39]2 years ago
6 0

Answer:

Step-by-step explanation:

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Two teachers purchase supplies for their classrooms.
inna [77]

Answer:

Cost of One Journal =  $3.99

Cost of One pen =  $0.59

Step-by-step explanation:

Let

Cost of One Journal = x

Cost of One pen = y

We can make equation from given statements.

Mr. Bowden purchases 18 journals and 40 pencils for $95.42.

18x+40y=95.42

Ms. Jacinto purchases 11 journals and 16 pencils for $53.33.

11x+16y=53.33

Now solving these equations to find the value of x

18x+40y=95.42--eq(1)\\11x+16y=53.33--eq(2)

Multiply eq(1) with 2 and eq(2) with 5

36x+80y=190.84\\55x+80y=266.65\\-\:\:\:\:-\:\:\:\;\:\:\:\:\:\:\:-\\---------\\-19x=-75.81\\x=\frac{-75.81}{-19}\\x=3.99\\

We get the value of x is: x=3.99

Now, putting value of x in equation 1 to find value of y.

18x+40y=95.42\\18(3.99)+40y=95.42\\71.82+40y=95.42\\40y=95.42-71.82\\40y=23.6\\y=\frac{23.6}{40}\\y= 0.59

So, we get the value of y: y = 0.59

Now, finding the costs:

Cost of One Journal = x = $3.99

Cost of One pen = y = $0.59

7 0
2 years ago
Paige made $1411.75 last year by investing a total of $15,250 in two accounts: one paying 8.5% annual interest and the other pay
Umnica [9.8K]
Lets x and y are 2 accounts Paige invested
x account invested with annual interest rate 8.5%
y account invested with annual interest rate 10%

x + y =<span>15,250 so x = 15,250 - y
0.085x + 0.1y = </span><span>1,411.75

substitute </span>x = 15,250 - y into 0.085x + 0.1y = 1,411.75

0.085x + 0.1y = 1411.75
0.085(15,250 - y) + 0.1y = 1,411.75
1,296.25 - 0.085y + 0.1y = 1,411.75
0.015y = 115.5
y = 7,700

x = 15,250 - y
x = x = 15,250 - 7,700
x = 7,550

answer

$7,550 invested on account with annual interest rate 8.5%
$7,700 invested on account with annual interest rate 10%
8 0
3 years ago
Help me find the slope on the line? Thanks in advance.
Juliette [100K]
(1, 9) and (11,1)

slope
= (9 - 1)/(1 - 11)
= 8 /-10
= -4/5
= - 0.8

answer
slope = - 0.8
5 0
3 years ago
Read 2 more answers
6.
GrogVix [38]

Answer:

B. y= (4)/(5)x + 2

Step-by-step explanation:

Use the slope-intercept form  

y = m x + b  to find the slope  m  and y-intercept  b .

Slope:  

5

3

y-intercept:  ( 0 , − 2 )

3 0
2 years ago
Classify this triangle by its sides.
Leokris [45]
The triangle is equilateral
8 0
3 years ago
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