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Leni [432]
3 years ago
11

Solve the real-world situation by using the substitution method.

Mathematics
2 answers:
Keith_Richards [23]3 years ago
5 0

Answer:

791

Step-by-step explanation:

gtnhenbr [62]3 years ago
3 0

Answer:

In 11 months, the number of DVDs sold and Blue-Ray discs sold will be same, 791 of each.

Step-by-step explanation:

In the equation d = 923-12t, substitute 505+26t (from the second equation) for 'd'. We get

505 + 26t = 923 - 12t

<u>-505 + 12t</u>   <u> -505 + 12t</u>

38t     =       418

t=11

d = 923-12(11) = 791

d = 505+26(11) = 791

After 11 months, selling 791 of each.

Hope this helps.

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HELP ME PLEASE WILL GIVE LOTS OF POINTS PLEASE HELP
Margarita [4]

Answer:

45

Step-by-step explanation:

5 * 6 = 30$ (the cost of backpacks)

3 * 5 = 15$ (the cost of pens)

15 + 30 = 45

$45

7 0
3 years ago
Suppose you have $1,950 in your savings account at the end of a certain period of time. You invested $1,700 at a 6.88% simple an
Licemer1 [7]

Answer:

He invest for 2 years.

Step-by-step explanation:

Given : Suppose you have $1,950 in your savings account at the end of a certain period of time. You invested $1,700 at a 6.88% simple annual interest rate.

To find : How long, in years, did you invest your money?

Solution :

Applying simple interest formula,

A=P(1+r)^t

Where, A is the amount A=$1950

P is the principal P=$1700

r is the interest rate r=6.88%=0.0688

t is the time

Substitute the values in the formula,

1950=1700(1+0.0688)^t

\frac{1950}{1700}=(1.0688)^t

1.147=(1.0688)^t

Taking log both side,

\log(1.147)=\log ((1.0688)^t)

Applying logarithmic formula, \log a^x=x\log a

\log(1.147)=t\log (1.0688)

t=\frac{\log(1.147)}{\log (1.0688)}

t=2.06

Approximately, He invest for 2 years.

5 0
3 years ago
The lengths of the sides of a triangle are 8, 15, and 17. if the longest side of a similar triangle is 51, what is the length of
Vlad1618 [11]
If the longest side on the similar triangle is 51 and the longest side of the first triangle is 17, then you divide 51 and 17.

51 / 17 = 3

So the similar triangle is 3 times as big.
To find the shortest side of the similar triangle, you multiply 8 and 3.

8 * 3 = 24

The length of the shortest side of the similar triangle is 24.

Hope this helps!
5 0
3 years ago
A letter is chosen from the word 'brilliant'. Determine the probability that it will be: Give your answers in their lowest terms
pychu [463]

Answer:

Step-by-step explanation:

brilliant has 9 letters

brilliant has 1 B (1/9)

brilliant has 1 R (1/9)

brilliant has 2 I's (2/9)

brilliant has 2 L's (2/9)

brilliant has 1 A (1/9)

brilliant has 1 N (1/9)

brilliant has 1 T (1/9)

6 0
3 years ago
The graph of an equation is shown below:
frosja888 [35]

Answer:

A

Step-by-step explanation:

X before Y

8 0
3 years ago
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