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2 years ago

Determine whether the equation 2x + y = 8 is linear. If so, graph the function.

Mathematics

1 answer:

erica [24]2 years ago

8 0

Answer:

Yes, it is a linear equation. This equation is in y=mx+b form, which is a linear equation. To rearrange it into y=mx+b form, you'll just do y= -2x+8

To make a line, you only need two points, so here are two points that fit into the line of y= -2x+8:

(0,8) and (1,6)

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There are 276 students.

Lynna [10]

Step-by-step explanation:

Number of males is

276 - 158 = 118

Number of males not enrolled

118 - 82 = 36

Number of females not enrolled

158 - 102 = 56

(a)

The table based on data is

Enrolled Not enrolled Total

Male 82 36 118

Female 102 56 158

Total 184 92 276

(b)

Percentage of students were males that went to magic college

enrolled male / total students = (use table above)
82/276*100% = 29.71% (rounded)

(c)

Percentage of females went to magic college

enrolled female / total female = (use table above)
102/158*100% = 64.56% (rounded)

7 0

1 year ago

2 3/4+3 5/8 simplified

otez555 [7]

$2\frac{3}{4}+3 \frac{5}{8}=6\frac{3}{8}$

Solution:

Given expression is $2\frac{3}{4}+3 \frac{5}{8}$ .

To simplify the expression $2\frac{3}{4}+3 \frac{5}{8}.$

Let us first convert the mixed fraction into improper fraction.

$2\frac{3}{4}+3 \frac{5}{8}=\frac{(2\times 4) + 3}{4}+ \frac{(3 \times 8)+5}{8}$

$=\frac{8+ 3}{4}+ \frac{24+5}{8}$

$=\frac{11}{4}+ \frac{29}{8}$

Take LCM for the denominators (LCM of 4, 8 = 8) and make the same.

$=\frac{11\times2}{4\times 2}+ \frac{29\times1}{8\times1}$

$=\frac{22}{8}+ \frac{29}{8}$

$=\frac{51}{8}$

Now, divide 51 by 8 and again write it in the mixed fraction.

$=6\frac{3}{8}$

$2\frac{3}{4}+3 \frac{5}{8}=6\frac{3}{8}$

Hence, the simplified answer is $6\frac{3}{8}$ .

7 0

3 years ago

PLEASE HELP a right triangle is removed from a rectangle to create the shaded region shown below. Find the area of the shaded re

UNO [17]

Answer:

56m²

Step-by-step explanation:

First, find the area of the entire rectangle:

10 × 8 = 80

Then, find the area of the triangle:

1/2(6)(8) = 24

Finally, subtract the two areas to find the shaded area:

80 - 24 = 56

3 0

2 years ago

Grant is painting a rectangular board that has a width of foot. He has enough paint to cover 3 square feet. If he is able to cov

Daniel [21]

I think that would be 1 by 3 feet

3 is my answer

4 0

3 years ago

a cylindrical well has a radius of 10 feet and a height of 15feet .what volume of water will it take to fill in the well.

drek231 [11]

First, set up the formula.
V=pi*r^2*h
Substitute 10 for r and 15 for h.
V=pi*10^2*15
V=pi*100*15
V=pi*1500
V=4710 cubic feet
It takes 4710 cubic feet of water to fill the well.

5 0

3 years ago