MATHEMATICS
HIGH SCHOOL

Answer:

Answer:

The mixture contains 47 lb of Colombian Supreme and 3 lb of Mocha Java.

Step-by-step explanation:

We are given the following in the question:

Let x be the amount of Colombian supreme and y be the amount of Mocha java in the mixture.

Total amount of mixture = 50 lb

Thus, we can write the equation:

Total unit cost of mixture = $5.93/lb

Cost of Colombian Supreme = $4.99/lb

Cost of Mocha Java = $5.99/lb

Thus, we can write the equation:

Solving the two equations by elimination method,

Thus, the mixture contains 47 lb of Colombian Supreme and 3 lb of Mocha Java.

HIGH SCHOOL

Dr. Smith gives his staff a 1 3 bonus if they exceed the quarterly goal. This quarter, they exceeded the goal by $1,500. Select the best answer What is the staff bonus for this quarter?

If the staff bonus is 1/3 of what they exceeded you would have to take the amount they exceeded by and divide it by three

1,500/3= 500

The staff bonus would be $500 :)

1,500/3= 500

The staff bonus would be $500 :)

COLLEGE

Quality control is an important issue at ACME Company, which manufactures light bulbs. To test the life-hours of their light bulbs, they randomly sampled nine light bulbs and measured how many hours they lasted: 378, 361, 350, 375, 200, 391, 375, 368, 321. What is the mean

Answer:

oj 391 is the answer i just done it on the test

Step-by-step explanation:

MIDDLE SCHOOL

Write 4,730,000 in word form

Four million and seven hundred and thirty thousand.

The answer is...

four-million, seven-hundred thirty thousand

Hope this helped!

MIDDLE SCHOOL

Step by step to how to solve quadratic equation given the roots

0 \text{ then }x_1, x_2\in~R\\\\\text{If } b^2-4ac=0 \text{ then }x_1=x_2\in~R\\\\\text{If } b^2-4ac" alt="\displaystyle\it\\\text{We have the equation: }\\\\ax^2+bx+c=0\\\\\text{We find the roots:}\\\\x_{12}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x_{1}=\frac{-b+\sqrt{b^2-4ac}}{2a}\\\\x_{2}=\frac{-b-\sqrt{b^2-4ac}}{2a}\\\\\text{If } b^2-4ac>0 \text{ then }x_1, x_2\in~R\\\\\text{If } b^2-4ac=0 \text{ then }x_1=x_2\in~R\\\\\text{If } b^2-4ac" align="absmiddle" class="latex-formula">

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HIGH SCHOOL

To get a B in math, Alexandria Pappas must average 80 on five tests. Scores on the first four tests were 81, 78, 84, and 75. What is the lowest score that she can get on the last test and still get a B?

X = score on the last test (fifth test)

To obtain the average, we add up the values and divide by 5 (as there are 5 tests). We want this average to be 80 so we can figure out x

(81+78+84+75+x)/5 = 80

Solve for x

(81+78+84+75+x)/5 = 80

(318+x)/5 = 80

318+x = 80*5

318+x = 400

x+318 = 400

x = 400-318

x = 82

The lowest score Alexandria can get is 82, so her average is 80. Any higher score on the fifth test leads to the average being larger than 80.

Answer: 82

As a check, you can add up the five scores (81, 78, 84, 75, and the new score 82 we just found) and then divide that sum over 5. You should get 80 as a result.

To obtain the average, we add up the values and divide by 5 (as there are 5 tests). We want this average to be 80 so we can figure out x

(81+78+84+75+x)/5 = 80

Solve for x

(81+78+84+75+x)/5 = 80

(318+x)/5 = 80

318+x = 80*5

318+x = 400

x+318 = 400

x = 400-318

x = 82

The lowest score Alexandria can get is 82, so her average is 80. Any higher score on the fifth test leads to the average being larger than 80.

Answer: 82

As a check, you can add up the five scores (81, 78, 84, 75, and the new score 82 we just found) and then divide that sum over 5. You should get 80 as a result.

HIGH SCHOOL

Transforming quadratic functions

The quadratic function can be transformed in the following ways, making the number ahead of it larger or smaller this will create a stretch or a squish. Or you can change the number adding to the quadratic function this will moveit up or down. If you change the number in the paranthesis it will making it move left or right

MIDDLE SCHOOL

Solve -2.5n + 8.7 > 5.45.

n < 1.3

n > 1.3

n < -5.66

n > -5.66

Subtract the 8.7 from the 5.45. then you have -2.5n>-3.25. divide the -2.5 to both sides. it's dividing by a negative, so the sign flips and you get, n

5.45-8.7= -3.5

-3.5÷-2.5= 1.3

Since you divided by a negative number switch the signs. So it would be A. the first one

-3.5÷-2.5= 1.3

Since you divided by a negative number switch the signs. So it would be A. the first one

MIDDLE SCHOOL

Round your answer to the nearest hundredth. A flower garden is 11.25 meters long. Mr. Owens wants to make a border along one side using bricks that are 0.25 meters long. How many bricks does he need?

To find the answer just divide the length of a flower garden by the length of a brick:

11.25 / 0.25 = 45 (that's how many bricks are needed to be put).

There's nothing to round, but you can write it as a decimal to the hundredth place as 45.00.

11.25 / 0.25 = 45 (that's how many bricks are needed to be put).

There's nothing to round, but you can write it as a decimal to the hundredth place as 45.00.

MIDDLE SCHOOL

What is the taxidistance between (17,3) and (5,13) ?

|17-5| + |3-13| = 12 + 10 = 22