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3 years ago

Estimate by rounding the divisor to the nearest tens place and the dividend to the nearest

Mathematics

1 answer:

Setler [38]3 years ago

5 0

Answer:

Estimate: 90

Quotient: 95

Remainder: 8/59

Step-by-step explanation:

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Simplify: 64 ÷ 8 + 6 (2) A. 23 B. 20 C. 17

Iteru [2.4K]

Answer:

B. 20

Step-by-step explanation:

64 ÷ 8 + 6(2)

64 ÷ 8 + 12

8 + 12

6 0

2 years ago

Read 2 more answers

In the diagram below, ST is parallel to PQ. If ST is 4 more than PS,SR = 12, and PQ = 15, find the length of PS. Figures are not

Tpy6a [65]

Since segments ST and PQ are parallel, triangles SRT and PRQ are similar due to the AAA postulate. In general, the ratio between the corresponding sides of two similar triangles is constant; therefore,

$\frac{SR}{PR}=\frac{RT}{RQ}=\frac{TS}{QP}$

Furthermore,

$PS=PR-RS$

Finding PR and RS,

$\begin{gathered} ST=4+PS \\ SR=12 \\ PQ=15 \end{gathered}$

Then,

$\frac{12}{PR}=\frac{TS}{15}$ $\begin{gathered} \Rightarrow\frac{12}{PR}=\frac{4+PS}{15} \\ \Rightarrow\frac{12}{PS+12}=\frac{4+PS}{15} \end{gathered}$

Solving for PS,

$\begin{gathered} 12\cdot15=(PS+12)(PS+4) \\ \Rightarrow180=PS^2+16PS+48 \end{gathered}$

Solve the quadratic equation in terms of PS, as shown below

$\begin{gathered} \Rightarrow PS^2+16PS-132=0 \\ \Rightarrow PS=\frac{-16\pm\sqrt[]{16^2-4(-132)}}{2}=\frac{-16\pm28}{2} \\ \Rightarrow PS=-22,6 \end{gathered}$

And PS is a segment; therefore, it has to be positive.

Hence, the answer is PS=6

3 0

1 year ago

How much money will you have if you started with $1250 and put it in an account that earned 6.7% every year for 14 years?

KatRina [158]

Answer:

$3098.93

Step-by-step explanation:

We can use the formula for compound growth to solve this. The formula is:

$F=P(1+r)^t$

Where

F is the future value (the value at end of 14 years, our answer)

P is the initial amount invested ($1250)

r is the interest rate, in decimal (6.7% is 0.067)

t is the time in years (14, in our case)

Plugging in all the information we have:

$F=P(1+r)^t\\F=1250(1+0.067)^14\\F=1250(1.067)^14\\F=3098.93$

The account will accrue $3098.93 after 14 years.

3 0

3 years ago

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Kipish [7]

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8 0

3 years ago

Read 2 more answers

Write the inverse of the conditional statement.

Maslowich

The answer is a I'm pretty sure

7 0

3 years ago