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____ [38]
3 years ago
11

Solve and check the following equation. 8d + 21 = 12d + 5 d =

Mathematics
1 answer:
olganol [36]3 years ago
3 0

Subtract 8d from both sides

21 = 12d + 5 - 8d

Simplify 12d + 5 - 8d to 4d + 5

21 = 4d + 5

Subtract 5 from both sides

21 - 5 = 4d

Simplify 21 - 5 to 16

16 = 4d

Divide both side by 4

16/4 = d

Simplify 16/4 to 4

4 = d

Switch sides

d = 4

<u>Check answer</u>

8d + 21 =12d + 5

Let d = 4

8 × 4 + 21 = 12 × 4 + 5

Simplify 8 × 4 to 32

32 + 21 = 12 × 4 + 5

Simplify 12 × 4 to 48

32 + 21 = 48 + 5

Simplify 32 + 21 to 53

53 = 48 + 5

Simplify 48 + 5 to 53

53 = 53

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Please help!! i’m stuck
eduard

Answer:

17

Step-by-step explanation:

8 0
3 years ago
What value of y satisfies the system of equations:<br><br> y=-6x+2<br><br> y=x^2+11
Nataly [62]

Answer:

The value of y that satisfies the system of equations is 20

Step-by-step explanation:

we have

y=-6x+2

y=x^{2}+11

we know that

The solution of the system of equations is the intersection point both graphs

using a graphing tool

the intersection point is (-3,20)

see the attached figure

therefore

The value of y that satisfies the system of equations is 20

8 0
3 years ago
Find the rate of 250mm to 75cm​
Kruka [31]
If you’re looking for the ratio:

75cm = 750mm

250:750
1:3

The answer is 1:3
6 0
2 years ago
Please help me with this. What am I supposed to set the ratio equal to?
jenyasd209 [6]
The number that you get
6 0
3 years ago
Emma has money into savings accounts. One rate is 8% and the other is 12%. If she has $450 more in the 12% account and the total
AveGali [126]

Let's say that the value invested in the account with a rate of 8% is "x", then the amount invested in the account with a rate of 12% is:

x+450

To calculate the total interest we need to calculate the interest of each individual account and sum them:

\begin{gathered} \frac{8}{100}\cdot x=0.08\cdot x \\ \frac{12}{100}\cdot(x+450)=0.12\cdot x+54 \end{gathered}

The total interest is the sum of the two expressions above:

\begin{gathered} 220=(0.08\cdot x)+(0.12\cdot x+54) \\ 220=0.08\cdot x+0.12\cdot x+54 \\ 220-54=0.2\cdot x \\ 166=0.2\cdot x \\ 0.2\cdot x=166 \\ x=\frac{166}{0.2} \\ x=830 \end{gathered}

The value invested in the account with 8% interest is 830, the one invested in the account with 12% interest is 1280.

7 0
1 year ago
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