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2 years ago

9

the larger of two numbers js 11 more than twice the smaller number. the sum of the number is 1 less than 7 times the smaller num

ber. find the numbers

1 answer:

den301095 [7]2 years ago

5 0

Answer:

smaller: 3

larger: 27

Step-by-step explanation:

Hope this helps!

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Solve x - 3 1/8 = 5/12

Anna007 [38]

Answer:

$\large\boxed{x=\dfrac{85}{24}=3\dfrac{13}{24}}$

Step-by-step explanation:

Convert the mixed number to the fraction:

$3\dfrac{1}{8}=\dfrac{3\cdot8+1}{8}=\dfrac{25}{8}$

METHOD 1:

$x-3\dfrac{1}{8}=\dfrac{5}{12}\\\\x-\dfrac{25}{8}=\dfrac{5}{12}\\\\\text{the common denominator is 24}\\\\x-\dfrac{25}{8}=\dfrac{5}{12}\qquad\text{multiply both sides by 24}\\\\24x-(3)(25)=(2)(5)\\\\24x-75=10\qquad\text{add 75 to both sides}\\\\24x=85\qquad\text{divide both sides by 24}\\\\\boxed{x=\dfrac{85}{24}}$

METHOD 2:

$x-3\dfrac{1}{8}=\dfrac{5}{12}\qquad\text{add}\ 3\dfrac{1}{8}\ \text{to oboth sides}\\\\x=\dfrac{5}{12}+3\dfrac{1}{8}\\\\x=\dfrac{5\cdot2}{12\cdot2}+3\dfrac{1\cdot3}{8\cdot3}\\\\x=\dfrac{10}{24}+3\dfrac{3}{24}\\\\x=3\dfrac{10+3}{24}\\\\\boxed{x=3\dfrac{13}{24}}$

7 0

3 years ago

A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 16o when staring at the top of the sta

NemiM [27]

Answer:

The height of the statue is 21.4 feet

Step-by-step explanation:

We are given

A person is standing 50 ft from a statue

The person looks up at an angle of elevation of 16 degree when staring at the top of the statue

hen the person looks down at an angle of depression of 8 degree when staring at the base of the statue

Firstly, we will draw diagram

In triangle ABF:

FC=50

we can use trig formula

$tan(16)=\frac{y}{50}$

$y=50tan(16)$

$y=14.33727ft$

now, we can find x

In triangle DEF:

we can use trig formula

$tan(8)=\frac{x}{50}$

$x=50tan(8)$

$x=7.0270ft$

we can see that

height of statue =x+y

so, the height of statue is

$=14.33727+7.0270$

$=21.4ft$

6 0

2 years ago

Need help with Number 11.Show your work plz.Please answer Quick.

Zanzabum

Jennifer earns $5.50 per hour

Edward earns ($5.50*1.8) $9.90 per hour

Edward earns more per hour

To find out how many hours they'd have to work to make 50$, we would just divide $50 by their hourly wage.

Jennifer=50/5.50=9.09 hours since you cant have 0.09 hours round up
Jennifer=10 hours to make at least $50 dollars

Edward=50/9.90=5.05 hours since you cant have 0.05 hours round up
Edward=6 hours to make at least $50 dollars

**Edit. Since Edward earns 1.8 times what Jennifer earns, that means he earns 180% of what she earns or 80% more. So we can tell that he earns more just by the 1.8.

1.8=180%

7 0

2 years ago

If you order 3 pizzas, you will get 30 slices of pizza. How many slices are there in one pizza?

SVEN [57.7K]

Answer:

There are 10 slices in one pizza.

Step-by-step explanation:

30 ÷ 3 = 10

4 0

2 years ago

Read 2 more answers

How do you write 31% as a fraction in simplest from

Illusion [34]

The fraction is 31/100, the decimal is 0.31 which means your simplest form is 31/100

4 0

2 years ago

Read 2 more answers