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3 years ago

In a class of 80 students, 42 received a grade of

Mathematics

1 answer:

soldi70 [24.7K]3 years ago

4 0

42 received an A
so 40-42 = 38 did not

the fraction would be 38/80, divide both numbers by 2

38/80 reduces to 19/40 did not receive an A

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15 of the 25 students Brought their own lunch. What percent of the students brought their own lunch?

bagirrra123 [75]

Answer:

60%

Step-by-step explanation:

1: 15 divided by 25 to get 0.6

2: multiple 0.6 by 100 to get 60%

5 0

2 years ago

The perpendicular bisector of side AB of triangle ABC intersects the extension of side AC at D. Find the measure of angle ABC if

Karolina [17]

Answer:

23°

Step-by-step explanation:

Let the interior angles of ΔABC be referenced by A, B, and C. The definition of point D means that ΔDAB is an isosceles triangle, so we have the relations ...

A + B + 118 = 180 . . . . interior angles of ΔABC

A = B +16 . . . . . . . . . . base angles of ΔDAB

Using the expression for A in the second equation to substitute into the first equation, we get ...

(B+16) +B +118 = 180

2B + 134 = 180 . . . . . collect terms

2B = 46 . . . . . . . . . . . subtract 134

B = 23 . . . . . . . . . . . . divide by 2

m∠ABC = 23°

5 0

3 years ago

Put the following equation of a line into slope-intercept form, simplifying all

valentina_108 [34]

3(4y−3x+12)=0 the answer (Factor)

7 0

2 years ago

Complete the following: (2x +3y)^2 = (2x)^2+2(2x)(3y) +(____)^2

FrozenT [24]

Answer:

Complete function will be $(2x+3y)^2=(2x)^2+(3y)^2+2\times (2x)\times (3y)$

Step-by-step explanation:

We have given equation $(2x+3y)^2=(2x)^2+2\times (2x)\times (3y)+..........^2$

We have to find the function in place of blank space and complete the function

We know the algebraic equation $(a+b)^2=a^2+b^2+2ab$

So $(2x+3y)^2=(2x)^2+(3y)^2+2\times (2x)\times (3y)$

So in place of blank pace there will be $(3y)^2$

And complete function will be $(2x+3y)^2=(2x)^2+(3y)^2+2\times (2x)\times (3y)$

3 0

2 years ago

The area of the rectangular faces of the box are shown . What is the volume of the box

Gnoma [55]

Label the 3 distinct sides of the box. I arbitrarily chose the letters a, b and c.
Use the info about areas as follows:

ab=54 in^2
ac=90 in^2
bc=60 in^2

Here you have 3 equations in 3 unknowns (a, b and c), which is enough info to use to determine a, b and c. Then the volume of the box is a*b*c.

Example: bc = 90, but c = 60/b. You could subst. 60/b for c in the 2nd and 3rd equation, which will eliminate c completely and leave you with 2 equations in 2 unknowns.

Continuing this procedure, I determined that a=9, b=6 and c=10. Thus, the volume of the box is V = 9*6*10 = 540 cubic inches (answer)

3 0

2 years ago