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3 years ago

The factored form of expression 12t - 84 is ?

Mathematics

1 answer:

Lelechka [254]3 years ago

4 0

First find highest common factor of 12 and 84=12
12(t-7)

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The length of a rectangle is 3 more inches than the width. Find the length and width of the rectangle is the perimeter of the re

n200080 [17]

Part A:

Let the width of the rectangle be = x inches

As given, the length of a rectangle is 3 more inches than the width so let the length of the rectangle be = x+3 inches

Perimeter is given as = 54 inches

Perimeter = $2(l+b)$

Equation becomes:

$2(x+3+x)$ =54

$2(2x+3)=54$

Part B:

Solving the equation we get

$4x+6=54$

$4x=54-6$

$4x=48$

$x=12$

Hence, the width of the rectangle is 12 inches

Length = x+3 = 12+3 = 15 inches

Hence, length of the rectangle is 15 inches.

5 0

4 years ago

A coil spring 7.5 is strecthed to a length 9.75 cm. What is the percentage of this original length

kicyunya [14]

77%
(9.75/7.5)100=76.9

7 0

3 years ago

Solve this problem. Reduce to lowest terms.

Pepsi [2]

4 3/4 + 2 1/2 = 4 3/4 + 2 2/4 = 6 5/4 = 7 1/4 = 6 hours and 15 minutes.

6 0

4 years ago

A fair coin tossed 3 times in a row. What is the probability that heads appear on only the last toss?

Nadya [2.5K]

The total number of ways you can toss a coin 3 times is 8.
H H H
H H T
H T H
H T T
T H H
T H T
T T H
T T T
That should be 8 times.
H H T is the only toss that works
1/8 times

5 0

4 years ago

Read 2 more answers

Can someone how to get the answer? Thanks! PLEASE HELPpppppppppppppppppppppppp

Over [174]

$\mathrm{If\:}f\left(x\right)=g\left(x\right)\mathrm{,\:then\:}\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right) \ \textgreater \ \ln \left(6^x\right)=\ln \left(21\right)$

$\mathrm{Apply\:log\:rule}:\ \log _a\left(x^b\right)=b\cdot \log _a\left(x\right) \ \textgreater \ \ln \left(6^x\right)=x\ln \left(6\right)$

$x\ln \left(6\right)=\ln \left(21\right) \ \textgreater \ \mathrm{Divide\:both\:sides\:by\:}\ln \left(6\right) \ \textgreater \ \frac{x\ln \left(6\right)}{\ln \left(6\right)}=\frac{\ln \left(21\right)}{\ln \left(6\right)}$

$Therefore \: x=\frac{\ln \left(21\right)}{\ln \left(6\right)}$

In your case ln means $\frac{log 21}{log 6}$

5 0

3 years ago

Read 2 more answers