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3 years ago

Eight less than twice a number is less than three times the number what is the number

Mathematics

1 answer:

Lapatulllka [165]3 years ago

6 0

Answer: 3x-8= -3+2x

Step-by-step explanation:

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Hi can anyone help me solve the following problems with steps. Thank you! For 12 points. Adding and subtracting Fraction:

Yuliya22 [10]

Answer:

Q1 = $11\frac{2}{9}$

Q2 = $\frac{19}{24}$

Q3 = $1\frac{3}{7}$

Q4 = $2\frac{11}{12}$

Q5 = $\frac{11}{20}$ of the pizza is left

Step-by-step explanation:

Q1. $4\frac{4}{6} +7\frac{5}{9}$

Find Common Denominator

6 = 18

9 = 18

$4\frac{12}{18} +7\frac{10}{18}$

Then just add the whole numbers and numerators

$11\frac{22}{18}$ or $11\frac{4}{18}$

Simplify

$11\frac{2}{9}$

Q2. $2\frac{5}{8} -1\frac{5}{6}$

Find Common Denominator

8 = 24

6 = 24

$2\frac{15}{24} -1\frac{20}{24}$

Subtract by borrowing

$1\frac{39}{24} - 1\frac{20}{24}$

Then Subtract

$\frac{19}{24}$

Q3. $4-2\frac{4}{7}$

Convert

$3\frac{7}{7} -2\frac{4}{7}$

Then subtract

$1\frac{3}{7}$

Q4. $6\frac{1}{4} -3\frac{1}{3}$

Find Common Denominator

4 = 12

3 = 12

$6\frac{3}{12} -3\frac{4}{12}$

Borrow

$5\frac{15}{12} -3\frac{4}{12}$

Then Subtract

$2\frac{11}{12}$

Q5. Maria and Jane bought a whole pizza pie. Marie ate 1/5 of the pie and Jane ate 1/4 of the pie. Write a number sentence to find how much is left of the pie and solve it.

$\frac{1}{5} + \frac{1}{4}$

Find Common Denominator

5 = 20

4 = 20

$\frac{4}{20} +\frac{5}{20}$

Then add, after adding, subtract $\frac{9}{20}$ from the whole of the pizza.

$\frac{20}{20}-\frac{9}{20} = \frac{11}{20}$

Number Sentence:

$\frac{1}{5} + \frac{1}{4}=\frac{4}{20} +\frac{5}{20} = \frac{9}{20} \\= \frac{20}{20} -\frac{9}{20} = \frac{11}{20}$

8 0

2 years ago

A Norman window is a window with a semi-circle on top of regular rectangular window. (See the picture.) What should be the dimen

Vikki [24]

Answer:

bottom side (a) = 3.36 ft

lateral side (b) = 4.68 ft

Step-by-step explanation:

We have to maximize the area of the window, subject to a constraint in the perimeter of the window.

If we defined a as the bottom side, and b as the lateral side, we have the area defined as:

$A=A_r+A_c/2=a\cdot b+\dfrac{\pi r^2}{2}=ab+\dfrac{\pi}{2}\left (\dfrac{a}{2}\right)^2=ab+\dfrac{\pi a^2}{8}$

The restriction is that the perimeter have to be 12 ft at most:

$P=(a+2b)+\dfrac{\pi a}{2}=2b+a+(\dfrac{\pi}{2}) a=2b+(1+\dfrac{\pi}{2})a=12$

We can express b in function of a as:

$2b+(1+\dfrac{\pi}{2})a=12\\\\\\2b=12-(1+\dfrac{\pi}{2})a\\\\\\b=6-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a$

Then, the area become:

$A=ab+\dfrac{\pi a^2}{8}=a(6-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a)+\dfrac{\pi a^2}{8}\\\\\\A=6a-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a^2+\dfrac{\pi a^2}{8}\\\\\\A=6a-\left(\dfrac{1}{2}+\dfrac{\pi}{4}-\dfrac{\pi}{8}\right)a^2\\\\\\A=6a-\left(\dfrac{1}{2}+\dfrac{\pi}{8}\right)a^2$

To maximize the area, we derive and equal to zero:

$\dfrac{dA}{da}=6-2\left(\dfrac{1}{2}+\dfrac{\pi}{8}\right )a=0\\\\\\6-(1-\pi/4)a=0\\\\a=\dfrac{6}{(1+\pi/4)}\approx6/1.78\approx 3.36$

Then, b is:

$b=6-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a\\\\\\b=6-0.393*3.36=6-1.32\\\\b=4.68$

3 0

4 years ago

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Radda [10]

It wants you to multiply the positive integers that come before it.

5! = 5 * 4 * 3 * 2 * 1
4! = 4 * 3 * 2 * 1

5!4! = 5 * 4 * 3 * 2 * 1 * 4 * 3 * 2 * 1 = 2880

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Ymorist [56]

Answer:

Step-by-step explanation:

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3 years ago

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