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elena55 [62]
3 years ago
10

Paulie ordered 250 pens and 250 pencils to sell for a theatre club fundraiser. The pens cost 11 cents more than the pencils. If

Paulie's total order costs $42.50, find the cost of each pen and pencil.
Mathematics
1 answer:
Korolek [52]3 years ago
4 0
Remember that cents has a decimal when put in an equation.
250(x + 11) + 250x = 4250
250x + 2750 + 250x = 4250
500x + 2750 = 4250
500x = 1500
x = 3 cents (pencils)
x+11 = 14 cents (pens)
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If z = 38 and x = 110, then what is the value of y?
sladkih [1.3K]

Answer:

First I need the whole question and second I am guessing around 76 or 72.

Step-by-step explanation:

3 0
2 years ago
What is the equation in slope-intercept form of the line that passes through the points(-4,2) and (12,6) .​
Stels [109]

Answer:

y=0.5x

Step-by-step explanation: Plot the points then draw the line to then use the slope formula y=mx+b m is slope which is 1/2 which is 0.5, you can use either, and b is the y-intercept which is (0,0)

3 0
3 years ago
In the figure, is divided into equal parts. The coordinates of point A are (2, 4), and the coordinates of point B are (10, 6). M
timofeeve [1]

Answer:

Step-by-step explanation:

We will use mid point formula:

According to the attached picture:

F is the mid point of A and B.

Thus by using formula we have,

F = (2+10)/2 , (4+6)/2

= 12/2 , 10,2

= 6,5

F should be (6,5)

Like wise the matched coordinates are:

D is the midpoint of A and F and is (4,4.5)

C is the midpoint of A and D and is (3,4.25)

E is the mid point of D and F and is (5,4.75)

H is the midpoint of F and B and is (8,5.5)

G is the midpoint of F and H and is (7, 5.25)

I is the midpoint of H and B and is (9,5.75) ....

8 0
3 years ago
A linear function has the same y-intercept as x + 4y = 20 and its graph contains the point (3, 6). Find the slope of the linear
vitfil [10]

Answer:

1/3 is the slope.

Step-by-step explanation:

First, we need to find the y-intercept of x + 4y = 20.

x + 4y = 20

Subtract x from both sides.

4y = -x + 20

Divide both sides by 4.

y = -1/4x + 5

Input 0 as x to find the y-intercept.

y = -1/4(0) + 5

Simplify.

y = 5


Now we know the y-intercept is (0,5). Now we need to include to find a slope that contains (0,5) and (3,6). We can use the slope formula:

\frac{y_{2}-y_{1}}{x_{2}-x_1}}

(5 - 6)/(0 - 3) = m

-1/-3 = m

Simplify.

1/3 = m

1/3 is the slope.

5 0
3 years ago
1. O perímetro de um quadrado é 20 cm. Determine sua diagonal. 1 ponto a) 2 √5 cm b) 20√2 cm c) 5√2 cm d) 2√10 cm
Helen [10]

Answer:

c) 5√2 cm

Step-by-step explanation:

A square with side length l has a perimeter given by the following equation:

P = 4l.

In this question:

P = 20

So the side length is:

4l = 20

l = 20/4

l = 5

Diagonal

The diagonal forms a right triangle with two sides, in which the diagonal is the hypothenuse. Applying the pytagoras theorem.

d^{2} = l^{2} + l^{2}

d^{2} = 5^{2} + 5^{2}

d^{2} = 50

d = \pm \sqrt{50}

Lenght is a positive meausre, so

d = \sqrt{50}

d = \sqrt{2 \times 25}

d = \sqrt{2} \times \sqrt{25}

d = 5\sqrt{2}

So the correct answer is:

c) 5√2 cm

8 0
3 years ago
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