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Luden [163]
3 years ago
7

3/4+1/2= 2. 5/6+1/2= 3. 3/6+1/2= 4.1/6+4/8= 5.7/8+1/4= 6.3/8+1/2=

Mathematics
1 answer:
kaheart [24]3 years ago
6 0

Answer:

1.) \frac{5}{4\\}

2.) \frac{4}{3}

3.) 1

4.) \frac{2}{3}

5.) \frac{9}{8}

6.) \frac{7}{8}

Step-by-step explanation:

The 2 steps for all of these is to get common denominators and then add and simplify.

1.) 3/4 + 1/2 (common denominator) 3/4 + 2/4 = 5/4

2.) 5/6 + 1/2 (common denominator) 5/6 + 3/6 = 4/3

3.) 3/6 + 1/2 (common denominator) 3/6 + 3/6 = 6/6 (simplify) = 1

4.) 1/6 + 4/8 (common denominator) 8/48 + 24/48 =  32/48 (simplify) = 2/3

5.) 7/8 + 1/4 (common denominator) 7/8 + 2/8 = 9/8

6.) 3/8 + 1/2 (common denominator) 3/8 + 4/8 = 7/8

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Which alternative will increase the probability of detecting a shift in the process average?
melamori03 [73]

Answer:

d. Taking larger samples more frequently

Step-by-step explanation:

The alternative that will increase the probability of detecting a shift in the process average is option D.

d. Taking larger samples more frequently .

3 0
3 years ago
Nathan earns $1500 a week. Calculate his new weekly wage if he receives a pay rise of 20%
bazaltina [42]

Answer:

$1800

Step-by-step explanation:

1. Approanch

An easy way to calculate one's salary after they recive a raise is to, convert the percent that one's salary is increased into a decimal; divide the percent by 100. Then multiply the increase as a decimal by the original salary, to attain the amount the salary is raised by. Finally add the amount the salary is raised by to the original salary to find the new salary. A quicker way to do this is to convert the percent by the salary is increased into a decimal. Then add 1 to that number. Finally one will multiply that number by the original slary and get the new salary.

2. Solving

Original salary; 1500

Raise; 20%

<u>a. convert the raise as a percent into a decimal, then add 1</u>

20% = 0.2

0.2 + 1 = 1.2

<u>b. multiply the number by the original salary</u>

1.2 * 1500

1800

8 0
3 years ago
Read 2 more answers
Can someone please answer. There is one problem. There's s picture. Thank you!
Pepsi [2]
The correct answer is the first option, 23.1 miles.

Knowing that the sum of the triangle's interior angles should equal a measure of 180°, you can start off by solving for the missing interior angle, near the library.

Since this is a right triangle (meaning one of the angles is 90°), and the other angle is given (57°), simply subtract these two values from 180° to get 180-(57+90)=33\textdegree.

Next, use the Law of Sines (stated below) which will allow you to solve for the missing distance from the radio tower to the library in miles, using the angle measures and height from the tower to the balloon that you've found.

\frac{\sin(A)}{a} =  \frac{\sin(B)}{b}

For this problem, we'll let the height of the hot air balloon be a=15 and its respective opposite angle be A=33\textdegree, and let the missing x-distance be b, with its respective opposite angle B=57\textdegree. Note, we're solving for b.

\frac{\sin(33)}{15} =  \frac{\sin(57)}{b} \\ \\&#10;b\times sin(33)=15\times \sin(57) \\ \\&#10;b=\frac{15\times \sin(57)}{sin(33)} \\ \\&#10;b\approx \frac{15\times 0.84}{.54} \\ \\&#10;b\approx \frac{12.6}{.54} \\ \\&#10;b\approx \frac{12.6}{.54} \\ \\&#10;b\approx 23.3

Because there was a lot of approximation in the above operations, the answer doesn't exactly match any of the answer options in the question. However, it's very close to the first option, 23.1 miles, so that must be the correct answer.
8 0
3 years ago
Are these fractions equivalent or nonequivalent?<br> 4x/7y 8x/14y
ivann1987 [24]

Answer:

\frac{8x}{14y}  =  \frac{ \frac{8x}{2} }{ \frac{14y}{2} }  =  \frac{4x}{7y}  \\

Hence, they are equivalent.

6 0
2 years ago
The formula for the volume of a cone is V=1/3 pi r2h the radius r of the cone may be expressed as
Naily [24]

r = √(3V/πh)

multiply both sides by 3 to eliminate the fraction

πr²h = 3V ( divide both sides by πh )

r² = 3V/ πh ( take the square root of both sides )

r = √(3V/πh)


3 0
2 years ago
Read 2 more answers
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