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olga55 [171]
3 years ago
9

Fourteen students in Mr. Burton’s class are girls. This is 60% of his class. How many students are in his class?

Mathematics
1 answer:
AURORKA [14]3 years ago
7 0

Answer:

12

Step-by-step explanation:

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Solve for x: three fourths times x plus five fourths equals four times x
Nostrana [21]

Answer:

x equals  five thirteenths

Step-by-step explanation:

To solve this, we will follow the steps below;

\frac{3}{4} ×  x  + \frac{5}{4}  =  4 × x

\frac{3x}{4} + \frac{5}{4}   = 4x

\frac{3x + 5}{4} =  4x

Multiply both-side of the equation by 4

\frac{3x + 5}{4} × 4=  4x × 4

On the left-hand side of the equation 4 will cancel-out 4, thus the equation becomes;

3x + 5 = 16x

subtract 3x from both-side of the equation

16x - 3x = 5

13x = 5

Divide both-side of the equation by 13

\frac{13x}{13} = \frac{5}{13}

(On the left-hand side of the equation 13 at the numerator will cancel-out 13 at the denominator while on the right-hand side of the equation 5 will be divided by 13)

x = \frac{5}{13}

x equals  five thirteenths

7 0
3 years ago
A piece of furniture has a retail price of $3,200 and is on sale at a 30% discount. how much money will be saved if the piece of
d1i1m1o1n [39]
.30 × 3,200 = 960

$960 will be saved
6 0
3 years ago
Please help me <br><br>If 180°&lt;α&lt;270°, cos⁡ α=−8/17, what is sin -α?
rewona [7]

Starting from the fundamental trigonometric equation, we have

\cos^2(\alpha)+\sin^2(\alpha)=1 \iff \sin(\alpha)=\pm\sqrt{1-\cos^2(\alpha)}

Since 180, we know that the angle lies in the third quadrant, where both sine and cosine are negative. So, in this specific case, we have

\sin(\alpha)=-\sqrt{1-\cos^2(\alpha)}

Plugging the numbers, we have

\sin(\alpha)=-\sqrt{1-\dfrac{64}{289}}=-\sqrt{\dfrac{225}{289}}=-\dfrac{15}{17}

Now, just recall that

\sin(-\alpha)=-\sin(\alpha)

to deduce

\sin(-\alpha)=-\sin(\alpha)=-\left(-\dfrac{15}{17}\right)=\dfrac{15}{17}

6 0
3 years ago
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Y = 2x + 1 y = 3x - 1
yuradex [85]

Answer:

i think the answer is B

Step-by-step explanation:

5=6-1

5=5

6 0
3 years ago
Read 2 more answers
What’s the angle inside the circle?
oee [108]
The answer is c 109 degrees
5 0
3 years ago
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