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lawyer [7]
3 years ago
12

1. A theater group bought supplies to construct the set of a play. Lumber cost $145.86, paint cost $52.91, and hardware cost $17

.63.
(a) What was the total amount the theater group paid for the supplies? Show your work.
 (b) What percent of the total cost was the cost of the hardware? Write your answer as a decimal rounded to the nearest thousandth. Show your work.
 (c) What percent of the total cost was the cost of the paint and the hardware? Write your answer as a decimal rounded to the nearest thousandth. Show your work.
 
Mathematics
1 answer:
Pani-rosa [81]3 years ago
8 0
(a) 145.86 + 52.91 + 17.63 = 216.4
(b) 17.63/216.4 × 100% = 8.15%
(c) 52.91 + 17.63 / 216.4 × 100% = 32.60%
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On a coordinate plane, a line has points (negative 2, negative 4) and (4, 2). Point P is at (0, 4). Which points lie on the line
NikAS [45]

Answer:

the correct options are:

(–1, 3),  (–2, 2) and (–5, –1)

Step-by-step explanation:

Given that a line passes through two points

A(-2, -4) and B(4, 2)

Another point P(0, 4)

To find:

Which points lie on the line that passes through P and is parallel to line AB ?

Solution:

First of all, let us the find the equation of the line which is parallel to AB and passes through point P.

Parallel lines have the same slope.

Slope of a line is given as:

m=\dfrac{y_2-y_1}{x_2-x_1}

m=\dfrac{2-(-4)}{4-(-2)} = 1

Now, using slope intercept form (y = mx+c) of a line, we can write the equation of line parallel to AB:

y =(1)x+c \Rightarrow y = x+c

Now, putting the point P(0,4) to find c:

4 = 0 +c \Rightarrow c = 4

So, the equation is \bold{y=x+4}

So, the coordinates given in the options which have value of y coordinate equal to 4 greater than x coordinate will be true.

So, the correct options are:

(–1, 3),  (–2, 2) and (–5, –1)

8 0
3 years ago
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I need help with this math problem! Thanks!<br><br> -8 = -( x +4)
Damm [24]

Answer:

x = 4

Step-by-step explanation:

If the lonely negative sign infront of the brackets is confusing, it can be rewritten as -1.

To solve, simplify by expanding then isolate x.

-8 = -( x +4)

-8 = -1 ( x +4)       Distribute over brackets by changing the each term's sign

-8 = -x - 4            Start isolating x by moving everything to the other side

-8 +4  = -x -4 + 4        Add 4 to both sides so it cancels out on the right

-4  = -x

-4  = -1x           <= -x is the same at -1x

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4 = x

x = 4      <= usually we write the variable on the left side

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Answer:

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Answer:

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Step-by-step explanation:

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