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Dima020 [189]
3 years ago
6

12 - 3/4 (d + 16) = negative 5

Mathematics
2 answers:
Nutka1998 [239]3 years ago
8 0

Answer: d=20/3

Step By Step:

Step 1, Simplify:

12-3/4(d+16)=-5

(-3/4)d+(12-12)=-5

(-3/4)d=-5

Step 2, Multiply each side by 4/(-3)

(4/-3)*(-3/4)d=(4/-3)*-5

d=20/3

garik1379 [7]3 years ago
6 0

Answer:

\bold{d=\frac{20}{3} \ or \ 6.66666666667}

Explanation:

\bold{12-\frac{3}{4}\left(d+16\right)=-5}

[ Subtract 12 From Both Sides ]

\bold{12-\frac{3}{4}\left(d+16\right)-12=-5-12}

[ Simplify ]

\bold{-3\left(d+16\right)=-68}

[ Divide Both Sides By -3 ]

\bold{\frac{-3\left(d+16\right)}{-3}=\frac{-68}{-3}}

[ Simplify ]

\bold{d+16=\frac{68}{3}}

[ Subtract 16 From Both Sides ]

\bold{d+16-16=\frac{68}{3}-16}

[ Simplify ]

\bold{d=\frac{20}{3}}

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Tim's bean sprout grew 3/ inches. Teegan's bean sprout grew 2 3/4 inches. How many more inches did Tim's bean sprout grow than T
ki77a [65]

Answer:

Tim's bean sprout grow by more than \frac{5}{8} \text{ inches}.

Step-by-step explanation:

We are given that Tim's bean sprout grew 3 3/8 inches. Teegan's bean sprout grew 2 3/4 inches.

We have to find how many more inches did Tim's bean sprout grow than Teegan's.

Firstly, converting both the mixed fractions in improper fraction get;

Tim's bean sprout grew = 3\frac{3}{8} = \frac{27}{8} \text{ inches}

Teegan's bean sprout grew = 2\frac{3}{4} = \frac{11}{4} \text{ inches}

Since the denominator of both the fractions is not the same, so we can't compare them both as which is larger or smaller.

Tim's bean sprout grew = \frac{27\times 1}{8\times 1} = \frac{27}{8} \text{ inches}

Teegan's bean sprout grew = \frac{11 \times 2}{4\times 2}=\frac{22}{8} \text{ inches}

Now, we can clearly see that Tim's bean sprout grew more than Teegan's bean sprout.

So, Tim's bean sprout grow by more than = \frac{27}{8}- \frac{22}{8} = \frac{5}{8} \text{ inches}

Hence, Tim's bean sprout grow by more than \frac{5}{8} \text{ inches}.

8 0
3 years ago
187,183 ÷ 2,255<br><br> HI...
astra-53 [7]
The answer is 83.0079822616408
5 0
2 years ago
Read 2 more answers
You wish to make an
Leokris [45]

Using the interest formulas, it is found that the values of the investment are given as follows:

  • Using simple interest, the value will be of $34,000.
  • Using compound interest, the value will be of $144,461.
  • Using continuous compounding, the value will be of $148,002.

<h3>Simple Interest</h3>

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

A(t) = P(1 + rt)

In which:

  • P is the initial amount.
  • r is the interest rate, as a decimal.

In this problem, we have that the parameters are as follows:

P = 9000, r = 0.07, t = 40.

Hence:

A(t) = 9000(1 + 0.07 x 40) = 34200

<h3>Compound interest</h3>

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

n is the number of compounding, for quarterly n = 4, then:

A(t) = 9000\left(1 + \frac{0.07}{4}\right)^{4 \times 40}

A(t) = 144461

<h3>Continuous compounding</h3>

A(t) = Pe^{rt}

Hence:

A(t) = 9000e^{0.07 \times 40} = 148002

More can be learned about the interest formulas at brainly.com/question/25296782

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7 0
1 year ago
suppose a chord of a circle is 18 in. long and is 40 in. from the center. Find the length of the radius.
drek231 [11]
Using the Pythagorean Theorem,
radius^2 = 40^2 + 9^2
radius^2 = 1,600 + 81
radius^2 = 1,681
radius = 41


6 0
2 years ago
Read 2 more answers
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Lina20 [59]

Answer:

Step-by-step explanation:

If it have more than 2 divider its composite but its divider is only one and its self only its prime.1 isn't neither prime nor composite

8 0
3 years ago
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