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Salsk061 [2.6K]
2 years ago
7

A teacher grades 27 tests in 3 hours How many tests can the teacher grade in 8 hours if he works at the same rate

Mathematics
2 answers:
larisa [96]2 years ago
5 0

Answer:

72 tests

Step-by-step explanation:

lets put this in a ratio

27 (tests) : 3 (hours)

now we simplify by dividing each side by 3

9:1

Now we must find 8 hours so multiply each side by 8

72:8

the teacher will grade 72 tests in 8 hours

Norma-Jean [14]2 years ago
4 0

Answer:

72 tests

Step-by-step explanation:

Lets find how many are graded per hour:

27 ÷ 3 = 9

9 tests per hour

9 · 8 = 72

72 tests

i hope this helped, please mark Brainliest, thank you!!

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torisob [31]

Answer: 4\sqrt[3]{4}

Step-by-step explanation:

8 0
2 years ago
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6. Let A and B be nxn matrices . Compute (A + B) (A + B). Explain all steps.
Pie

Answer:

(A+B)(A+B)=A.A+B.A+A.B+B.B

Step-by-step explanation:

Given that matrices A and B are nxn matrices

We need to find (A+B)(A+B)

For understanding the multiplication of matrices let'take A is mxn and B is pxq matrices,we can multiple only when n=p,so our Ab matrices will be mxq.

We know that that in matrices AB is not equal to BA.

Now find  

(A+B)(A+B)=A.A+B.A+A.B+B.B

So from we can say that (A+B)(A+B) is not equal to A.A+2B.A+B.B because AB is not equal to BA in matrices.

So (A+B)(A+B)=A.A+B.A+A.B+B.B

4 0
2 years ago
Find an equation of the line passing through the given points (1,-3) and (3,3)
chubhunter [2.5K]

ANSWER: y= 3x - 6

STEP-BY-STEP EXPLANATION:

(1,-3) and (3,3)

X1=1           X2=3

Y1= - 3       Y2=3

1) Find the slope of the line.

To find the slope of the line passing through these two points we need to use the slope  formula:

m = \frac{Y2-Y1}{X2-X1}

m= \frac{3-(-3)}{3-1}   m=\frac{6}{2} = 3

2)Use the slope to find the y-intercept.

Now that we know the slope of the line is 3 we can plug the slope into the equation and  we get:

y= 3x+b

Next choose one of the two point to plug in for the values of x and y. It does not matter  which one of the two points you choose because you should get the same answer in either  case. I generally just choose the first point listed so I don’t have to worry about which  one I should choose.

y= 3x+b       point (1,-3)

-3= 3(1) + b

-3-3=b

-6=b

3)Write the answer.

Using the slope of 3 and the y-intercept of -6 the answer is:

y = 3x - 6

6 0
3 years ago
What is seven hundred thirty-one million, nine hundred thirty-four thousand, thirty in standard form
Sindrei [870]
731,934,030


please mark the brainiest
6 0
3 years ago
Read 2 more answers
help PLEASEE! Might post a lot of these sorry
ExtremeBDS [4]

Answer:

A = 189 sq units

Step-by-step explanation:

You can cut the shape up into pieces. See image. There are two rectangles and a triangle. Some sides are given:

rectangle: 16 × 8

sm rectangle: 3 × 4

Some sides you have to add to find (the height of the whole entire thing: 16+4+4)

Some lengths you have to subtract to find (height of the triangle: 24 - 10).

Area of a rectangle:

length × width OR

base × height

Area of a triangle:

1/2 • b • h

Add up all three areas. See image.

4 0
2 years ago
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