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3 years ago

−4(−2x+5)−5x+5= -24

Mathematics

1 answer:

Margaret [11]3 years ago

6 0

Answer: X=-3

Step-by-step explanation:

-4(-2x+5)-5x+5=-24 (=) [(-4×-2x)+(-4×5)]-5x+5=-24 (=) [(8x)+(-20)]-5x+5=-24 (=) 8x-20-5x+5=-24 (=) 3x-15=-24 (=) 3x=-9 (=) x=-9/3 (=) x=-3

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Paco buys a total of 15 pencils and markers for $ 11.15. Each pencil costs $ 0.30. Each marker costs $ 1.25

inessss [21]

Answer: Paco bought 7 markers and 8 pencils.

Step-by-step explanation:

Let's define the variables:

P = number of pencils that Paco bought

M = number of markers that Paco bought.

We know that P + M = 15.

We also know that each pencil costs $0.30 and each marker costs $1.25, and the total price for the whole purchase is $11.15

Then:

P*$0.30 + M*$1.25 = $11.15

Then we have the system of equations:

P + M = 15

P*$0.30 + M*$1.25 = $11.15

To solve this, we can start by isolating one of the variables in the first equation, let's isolate P.

P = 15 - M

Now we can replace this in the second equation to get:

(15 - M)*$0.30 + M*$1.25 = $11.15

$4.50 - M*$0.30 + M*$1.25 = $11.15

$4.50 + M*$0.95 = $11.15

M*$0.95 = $11.15 - $4.50 = $6.65

M = $6.65/$0.95 = 7

Then paco bough 7 markers, and we can find the number of pencisl by the equation:

P + M = 15

P = 15 - M = 15 - 7 = 8

Then Paco bought 7 markers and 8 pencils.

4 0

3 years ago

Timothy is trying to solve the following equation for his math homework.

aleksandrvk [35]

18t=4

to get the answer you have to divide 4/18

the answer is both 2/9 or 0.2222222222

5 0

4 years ago

Need Help ASAP!!

Aleksandr-060686 [28]

Answer:

$1480.24

Step-by-step explanation:

This will be solved by the formula:

$FV=I(1+r)^t$

Where

FV is the future value (what we are looking for)

I is the initial amount (which is $1000)

r is the rate of interest per period (8% is annual interest, but the period is SEMI-ANNUAL, that's 6 months, half of yearly. So r would be half of 8%, which is 4% or r = 0.04)

t is the times compounding occurs in the whole time (The whole time period is 5 years, but compounding occurs semi-annually, so 5*2 = 10 times. Thus, t = 10)

plugging the info into the formula we will get our answer.

$FV=I(1+r)^t\\FV=1000(1+0.04)^{10}\\FV=1000(1.04)^{10}\\FV=1480.24$