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3 years ago

A number is divided by four. The result is added to five. This result is multiplied by three to give 27. What is the number?

Mathematics

2 answers:

marissa [1.9K]3 years ago

5 0

Answer:

x=16

Step-by-step explanation:

We'll say that x represents the number.

3( $\frac{x}{4}$ +5)=27 given equation

$\frac{3x}{4}$ +15=27 distributive property

3x/4=12 subtract

3x=48 multiply

x=16 divide

Damm [24]3 years ago

3 0

The answer is 16

Explanation:16/4=4

4+5=9

9*3=27

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Which choice is equivalent to the expression below?

alekssr [168]

Answer: OPTION A

Step-by-step explanation:

We need to remember that Product of powers property, which states that:

$(a^m)(a^n)=a^{(m+n)}$

Let's check the options:

A. For $5^9*5^{\frac{9}{10}}*5^{\frac{6}{100}}*5^{\frac{9}{1000}}$ you can apply the property mentioned before. Then:

$5^{(9+\frac{9}{10}+\frac{6}{100}+\frac{9}{1000})=5^{9.969}$

(It is the equivalent expression)

B. Add the exponents:

$5^9*5^{(\frac{9}{10}+\frac{9}{10}+\frac{6}{1000})=5^{10.806}$

(It is not the equivalent expression)

C. For $5^9*5^{\frac{96}{10}}*5^{\frac{9}{100}}}$ you can apply the property mentioned before. Then:

$5^{(9+\frac{96}{10}+\frac{9}{100})=5^{18.69}$

(It is not the equivalent expression)

D. We know that $5^{9.969}=9,290,347.808$ and we maje the addition indicated in this option, we get:

$5^9+5^{\frac{9}{10}}+6^{\frac{6}{100}}=1,953,130.37$

(It is not the equivalent expression)

6 0

4 years ago

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PLEASE HELP PLEASE GRADES ARE GOING IN

Ratling [72]

17x+3x+2x+16+7

The simplified one should be 22x+23

6 0

4 years ago

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2p/9+5p/18-5/6=2/3+p/12+1/6

Murljashka [212]

$\frac{2p}{9} + \frac{5p}{18} - \frac{5}{6} = \frac{2}{3} + \frac{p}{12} + \frac{1}{6}$
$\frac{4p}{18} + \frac{5p}{18} - \frac{5}{6} = \frac{2}{3} + \frac{p}{12} + \frac{1}{6}$
$\frac{9p}{18} - \frac{5}{6} = \frac{4}{6} + \frac{1}{6} + \frac{p}{12}$
$\frac{p}{2} - \frac{5}{6} = \frac{5}{6} + \frac{p}{12}$
$\frac{p}{2} - \frac{5}{6} + \frac{5}{6} = \frac{5}{6} + \frac{5}{6} + \frac{p}{12}$
$\frac{6p}{12} = 1\frac{2}{3} + \frac{p}{12}$
$\frac{6p}{12} - \frac{p}{12} = 1\frac{2}{3} + \frac{p}{12} - \frac{p}{12}$
$\frac{12}{5} * \frac{5p}{12} = 1\frac{2}{3} * \frac{12}{5}$
$p = 4$

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3 years ago

It takes 40 min for a bus to cover 36 miles. A car travels 1.4 times faster. When will they meet if they started 36 miles apart

sveticcg [70]

Bus:

40 min = 36 miles

1 min = 36 ÷ 40 = 0.9 mile

Car:

1 min = 0.9 x 1.4 = 1.26 miles

Total distance covered by both vehicles in 1 min:

1.26 + 0.9 = 2.16 miles

Time needed for both of them to cover 36km:

36 ÷ 2.16 = 16 2/3 min

Answer: They will meet 16 2/3 mins after they have started.

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scZoUnD [109]

Answer:

53.13°

Step-by-step explanation:

Sin x = Opp/Hyp

Sin x = 76/95

x = Sin- 0.8

=53.13°

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3 years ago