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AnnZ [28]
3 years ago
15

william bought paint brushes for his remodeling project.He saw 3 shelves with 6 paint brushes on each shelf.The paintbrushes are

$4 each.How much will william spend if he buys all the paint brushes on the 3 shelves?
Mathematics
1 answer:
Serga [27]3 years ago
5 0

The answer is 72. If there are three shelves with 6 brushes, you first can figure out how many brushes there are. 6 x 3 = 18. Then, if each brush is 4 dollars, 4 times 18 = 72.

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The coordinates of the endpoint of QS are Q(-9,8) and S(9,-4). Point R is on cue as such that QR:RS Is in the ratio 1:2. What ar
marishachu [46]

R(–3, 4)

Step-by-step explanation:

Let Q(-9,8) and S(9,-4) be the given points and let R(x, y) divides QS in the ratio 1:2.

By section formula,

R(x, y)=R\left(\frac{m x_{2}+n x_{1}}{m+n}, \frac{m y_{2}+n y_{1}}{m+n}\right)

Here, x_{1}=-9, y_{1}=8, \text { and } x_{2}=9, y_{2}=-4 \text { and } m=1, n=2

Substituting this in the section formula

R(x, y)=R\left(\frac{1(9)+2(-9)}{1+2}, \frac{1(-4)+2(8)}{1+2}\right)  

To simplifying the expression, we get

\Rightarrow R(x, y)=R\left(\frac{9-18}{3}, \frac{-4+16}{3}\right)

\Rightarrow R(x, y)=R\left(\frac{-9}{3}, \frac{12}{3}\right)

⇒ R(x,y) = R(–3,4)  

Hence, the coordinates of point R is (–3, 4).

6 0
3 years ago
Simplify. cos^2[(pi/2) - x] + cos^2[(pi/2) - x] + cos^2x
Ipatiy [6.2K]

Numerator
<span><span>cos<span>(<span>π/2</span>−x)</span></span>=<span>cos<span>(<span>π/2</span>)</span></span><span>cosx</span>+<span>sin<span>(<span>π/2</span>)</span></span><span>sinx</span></span>

now <span><span>cos<span>(<span>π/2</span>)</span></span>=0 and <span>sin<span>(<span>π/2</span>)</span></span>=1</span>

simplifies to : 0 + sinx = sinx

Denominator

<span><span>sin<span>(<span>π/2</span>−x)</span></span>=<span>sin<span>(<span>π/2</span>)</span></span><span>cosx</span>+<span>cos<span>(<span>π/2</span>)</span></span><span>sinx</span></span>

simplifies to : cosx + 0 = cosx

<span>⇒<span><span>cos<span>(<span>π/2</span>−x)</span></span><span>sin<span>(<span>π/2</span>−x)</span></span></span>=<span><span>sinx/</span><span>cosx</span></span>=<span>tan<span>x</span></span></span>

5 0
3 years ago
What is the converse of the statement?<br> "If x - 2 = 5, then x = 7"
dlinn [17]

ANSWER

"If x=7, then x - 2 = 5"

EXPLANATION

Let

p \to \: q

be a propositional statement.

The converse of this statement is

q \to \: p

In other words, the converse of the statement,

"If p then q" is "If q, then p"

The given given conditional statement is

"If x - 2 = 5, then x = 7"

Therefore the converse is

"If x=7, then x - 2 = 5"

3 0
3 years ago
A jar of 150 jelly beans contains 22 red jelly beans, 38 yellow, 20 green, 28 purple, 26 blue, and the rest are orange. Let B =
Oduvanchick [21]

Answer: \frac{11}{75}

Step-by-step explanation:

R is the event of getting a red jelly bean. 22 out of the 150 jelly beans are red. That means it is a \frac{22}{150} chance of getting a red jelly bean.

Simplified that is \frac{11}{75}

8 0
3 years ago
Whats the partial products for 15x32
Bumek [7]

Answer:

160 & 320

Step-by-step explanation

8 0
2 years ago
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