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daser333 [38]
3 years ago
6

SOLVE FOR X AND Y, WILL GIVE BRAINLIEST

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
5 0
3x - 15 = 105
3x = 120
x = 40

3(40) - 15 + y + 24 = 180
120 - 15 + y + 24 = 180
129 + y = 180
y = 51
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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
3 years ago
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mr_godi [17]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
To increase an amount by 7%, what single multiplier would you use ?
Scrat [10]
You would use 1.07 for that
6 0
3 years ago
Read 2 more answers
Justin deposited $2,000 into an account 5 years ago. Simple interest was paid on the account. He has just withdrawn $2,876. What
RSB [31]

Answer: 8.76%

Step-by-step explanation:

The formula to find the simple interest is given by :-

I=Prt, where P is the principal amount, r is rate of interest () in decimal and t is the time ( in years).   (1)

Given : Justin deposited $2,000 into an account 5 years ago.

i.e. P = $2,000 ,  t= 5 years

He has just withdrawn $2,876. i.e. Future value = $2,876

Interest (I)=$2,876-$2,000=$876  [Subtract Principal value from Future value]

Substitute all the above values of P , t , and I in the formula (1) , we get

876 =(2000)r(5)\\\\\Rightarrow\ r=\dfrac{876 }{2000\times5}\\\\\Rightarrow r=\dfrac{876}{10000}=0.0876

In percent , r=0.0876\times100=8.76\%

Hence, the rate of interest = 8.76%

6 0
3 years ago
Pls help I’m failing
GuDViN [60]

Answer:

-7

Step-by-step explanation:

you divide both sides by -2 and 14/-2 is equal to -7

6 0
2 years ago
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