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3 years ago

A teacher gave two tests. 59% passed both tests. 78% passed the first test. What

Mathematics

2 answers:

qwelly [4]3 years ago

6 0

The answer would be A

Elenna [48]3 years ago

5 0

The answer is 76% or A

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Please help me with this graph.

Komok [63]

Answer:

$y=\frac{1}{2} x-1$

Step-by-step explanation:

Please refer to the attached image.

Recall that in order to find the equation of a line parallel to another one, one needs to have the actual slope of the original line. This is because one will need to give the same slope in the equation for the new line.

Let's now try to extract the slope of the first line by looking at its graph. Recall as well that the formula for the slope uses information from two points on the plane $(x_1,y_1) ; (x_2,y_2)$ through which the line passes. We then try to find two points with easily identifiable coordinates. Please find two such points marked with red dots in the attached image. Their coordinates are also shown: (0,4) and (10,9).

Now let's use the formula for the slope (m) given two points $(x_1,y_1) ; (x_2,y_2)$

$m=\frac{y_2-y_1}{x_2-x_1}$

If we assign $(x_1,y_1)=(0,4)$ , and $(x_2,y_2)=(10,9)$ the slope becomes:

$m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{9-4}{10-0}\\m=\frac{5}{10}\\m=\frac{1}{2}$

Then the parallel line we are going to build should also have slope "1/2"

Now, the next step is to create the equation of the new line using the slope m = 1/2 and also using the point (4,1) where it should be passing. So we use the "point-slope" formula to create the line:

$y-y_0=m\,(x-x_0)$

where $(x_0,y_0)$ is the coordinate pair of thepont we want the line to go through (in our case the point (4,1)). Then:

$y-y_0=m\,(x-x_0)\\\\y-1=\frac{1}{2} (x-4)\\y-1=\frac{1}{2} x-2\\y=\frac{1}{2} x-2+1\\y=\frac{1}{2} x-1$ which is the third option among your list of answers.

6 0

3 years ago

Tessa needs 313 scoops of mulch to cover 10 square yards in her garden. Ten scoops of mulch would cover x square yards of her ga

hichkok12 [17]

In checking for proportion:
a/b = c/d
where: cross products are equal.
ad = bc

313/10 = 10/x

313x = 10 * 10
313x = 100
313x/313 = 100/313
x = 0.319 or 0.32

313/10 = 31.3
10/0.32 = 31.25 or 31.3

6 0

3 years ago

Given the polygon below, solve for y. Explain your process.

Virty [35]

Answer:

80°

Step-by-step explanation:

The sum of the interior angles in a hexagon is 720°. This means that:

y + (2y - 20) + (2y - 20) + y + (2y - 20) + (2y - 20) = 720° - we can simplify this

10y - 80 = 720° - now, add 80 to both sides

10y = 800 - finally, divide both sides by 10

y = 800 ÷ 8 = 80°

Hope this helps!

5 0

3 years ago

Read 2 more answers

Can anyone share the process please?

gtnhenbr [62]

Answer:

3x³ + x² + x + 1

= 3x³ - 3x² + 4x² - 4x + 5x - 5 + 6

= 3x²(x - 1) + 4x(x - 1) + 5(x - 1) + 6

= (x - 1)(3x² + 4x + 5) + 6

but 3x³ + x² + x + 1 = (x - 1).Q(x) + R

=> Q(x) = 3x² + 4x + 5

R = 6

4 0

3 years ago

3x+5=245 Helpppppppppppp

SOVA2 [1]

Answer:

X = 80

Step-by-step explanation:

Subtract "5" from both sides,

3x + 5 - 5 = 245 - 5

Simplify,

3x = 240

Divide both sides by "3",

3x/3 = 240/3

X = 80

Hope this helps :-)

8 0

4 years ago

Read 2 more answers