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nekit [7.7K]
2 years ago
8

Which shows the correct solution of the equation 1/2 a + 2/3b = 50 when b=30

Mathematics
2 answers:
AlekseyPX2 years ago
6 0

Answer:

60 = a

Step-by-step explanation:

⅔ of 30 is 20; ½ of 60 is 30. So together, you have <em>30</em><em> </em><em>+</em><em> </em><em>20</em><em> </em><em>=</em><em> </em><em>50</em>.

I am joyous to assist you anytime.

Lelu [443]2 years ago
4 0
1/2a + 2/3(30)= 50
1/2a + 20 = 50
1/2a= 50-20
1/2a= 30
A= 30(2)
A= 60

The solution is 60.

Hope this helps!
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If one lens increases the size of an image by $80\%$ and another increases the size by $50\%$ by what percent will the image be
son4ous [18]

Answer:

Step-by-step explanation

Look at it this way:

If you increase something by 80 percent, your multiplying it by 1.8. This goes the same way for 50 percent. If you multiply 1.8 by 1.5, you will get 2.7. Then convert 2.7 to increasing something by 170 percent. So the answer is 170 percent.

8 0
1 year ago
Read 2 more answers
Given EP = FP and GQ = FQ, what is the perimeter of ΔEFG?
eduard

x is  \frac{2y + 1}{2y - 3}

<u>Explanation:</u>

Given:

EP = FP

GQ = FQ

Since the sides are equal, the ΔFPQ and ΔFEG are similar.

According to the property of similarity:

\frac{FP}{PE} =\frac{FQ}{QG}

On substituting the value:

\frac{2x}{4y+2} = \frac{3x-1}{4y + 4} \\\\2x ( 4y + 4) = (3x-1)(4y+2)\\\\8xy + 8x = 12xy + 6x - 4y - 2\\\\4xy - 6x - 4y - 2 = 0\\\\2xy - 3x - 2y - 1 = 0\\\\2xy - 3x = 2y + 1\\\\x(2y - 3) = 2y +1\\\\x = \frac{2y+1}{2y-3}

Perimeter will be sum of all the sides. If y is known then substitute the value and then find the perimeter.

5 0
1 year ago
A university surveyed recent graduates of the English department for their starting salaries. Four hundred graduates returned th
NeX [460]

Answer:

Step-by-step explanation:

We want to determine a 95% confidence interval for the mean salary of all graduates from the English department.

Number of sample, n = 400

Mean, u = $25,000

Standard deviation, s = $2,500

For a confidence level of 95%, the corresponding z value is 1.96. This is determined from the normal distribution table.

We will apply the formula

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= mean ± z × standard deviation/√n

It becomes

25000 ± 1.96 × 2500/√400

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The lower end of the confidence interval is 25000 - 245 =24755

The upper end of the confidence interval is 25000 + 245 = 25245

Therefore, with 95% confidence interval, the mean salary of all graduates from the English department is between $24755 and $25245

3 0
2 years ago
URGENT<br>Which of the following is the graph of y=0.5sec (x+pi/3)-2?
arlik [135]

Answer:

See attachment.

Step-by-step explanation:

The given function is

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The correct choice is shown in the attachment

7 0
1 year ago
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Answer:

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(46,462 - 38,350) / 26 = the difference per week

8 0
1 year ago
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