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Lena [83]
3 years ago
6

Tony’s class needs more than $500 for the school dance. So far, they have raised $200. They plan to have a car wash, charging $8

a car, to raise more money. Tony solved the inequality 8x + 200 Greater-than-or-equal-to 500, and determined that if they wash 37 cars, they will have enough money. Is he correct? Explain
Mathematics
2 answers:
liubo4ka [24]3 years ago
7 0
No, because if they washed 37 cars the equation would be 8•37+200. This equation equals 496. So they would only have 496 dollars therefore they would have to wash at least one more car.
nalin [4]3 years ago
6 0

Answer:

No, he is going to have $496, which is $4 dollars less than what he wanted.

Step-by-step explanation:

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If the federal reserve sets the reserve rate at 12.5% what is the resulting money multiplier
topjm [15]

Answer:

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Find the measure of Q, the smallest angle in the triangle whose sides have lengths 4-5, and 6. Round the measure to the nearest
kakasveta [241]

<u>Given</u>:

Given that PQR is a triangle.

The measures of the sides of the triangle are 4,5 and 6.

We need to determine the measure of ∠Q.

<u>Measure of ∠Q:</u>

The measure of ∠Q can be determined using the law of cosines formula.

Thus, we have;

\cos (Q)=\frac{p^{2}+r^{2}-q^{2}}{2 p r}

Substituting p = 6, q = 4, r = 5, we get;

\cos (Q)=\frac{6^{2}+5^{2}-4^{2}}{2 (6)(5)}

Simplifying, we get;

\cos (Q)=\frac{36+25-16}{2 (30)}

\cos (Q)=\frac{45}{60}

Dividing, we get;

\cos (Q)=0.75

      Q=cos^{-1}(0.75)

      Q=41^{\circ}

Thus, the measure of ∠Q is 41°

Hence, Option b is the correct answer.

4 0
3 years ago
16 5x=31 what does x equal
liraira [26]
If you mean 165x = 31  , X = <span>0.19871794871
if you mean 16*5x = 31 , X = .3875
if you mean 16+5x=31 , X = 3
If you mean 16 -5x=31 , X = -3
Hope one of these is correct.</span>
6 0
3 years ago
I don’t understand how to do this
schepotkina [342]

Answer:

The solution is x =0.

Step-by-step explanation:

The equation

\bold{(1).}\: sin(\dfrac{3\pi }{2} +x)+sin(\dfrac{3\pi }{2} +x) =-2

can be rewritten as

2* sin(\dfrac{3\pi }{2} +2) =-2

and can be further simplified to

sin(\dfrac{3\pi }{2}+x ) =-1.

Now, taking the inverse sine of both sides we get:

sin^{-1}(sin(\dfrac{3\pi }{2} +x) =sin^{-1}(-1)

\bold{(2).}\:  \dfrac{3\pi }{2} +2 =sin^{-1}(-1)

The value of the right side on the interval [0,2\pi) is

sin^{-1}(-1) = \dfrac{3\pi}{2} \: \:( \text{or }270^o) ,

which makes the equation (2)

\dfrac{3\pi }{2}+x  =\dfrac{3\pi}{2}

solving for x gives

\boxed{x = 0}

which is our solution.

4 0
3 years ago
Adding -6 is the same as?
Maru [420]
O think it is c subtracting 6 because adding and subtracting is the same so it’s either c or d
4 0
3 years ago
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