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PtichkaEL [24]
2 years ago
15

Answer pls The hint part also

Mathematics
1 answer:
tatiyna2 years ago
3 0
4x+60+ x+15=180
5x+75=180
5x=105
x=21
Two linear angles are supplementary thereom
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If 200 vitamines cost $8.75, what should 500 vitamins cost?
WARRIOR [948]
Hello!  So, the problem is saying that 200 vitamins cost $8.75, and that is what we know.  We also know that we're going to be looking at the cost of 500 vitamins, but we don't know.  The numbers presented can be put into a proportion, and that can help solve the problem.  200 to 8.75, and 500 to a number we don't know.  I'm no sure if you familiar with the how to set up a proportion, but it's saying this number over this other number (which is a fraction) equals another fraction.  Make sure that your numbers always match up, so your not saying vitamins over money equal money over vitamins.  Use cross products, divide, and then you'll have your answer.  For this problem, since yours solving for money, make sure to have two decimal points and a dollar sign.  I hoped this helped, if you have any questions shoot me a question or message.  Good luck!
7 0
2 years ago
Read 2 more answers
The average high temperature during the hottest month in Beijing, China, is 72°F. The average high temperature during the coldes
Angelina_Jolie [31]

Answer:

- September

Step-by-step explanation:

The temperature in Beijing, in m months after January, is given by the following equation:

T(m) = 27\cos{((\frac{\pi}{6})(m-6))} + 45

In which m is the number of months after January.

During which month in the year would the temperature reach 55°F?

We have to find m for which: T(m) = 55. So

T(m) = 27\cos{((\frac{\pi}{6})(m-6))} + 45

55 = 27\cos{((\frac{\pi}{6})(m-6))} + 45

27\cos{((\frac{\pi}{6})(m-6))} = 10

\cos{((\frac{\pi}{6})(m-6))} = \frac{10}{27}

Now, we apply the inverse cosine, on both sides of the equation, to find the value of m.

\cos^{-1}{\cos{(\frac{\pi}{6})(m-6)}} = \cos^{-1}{\frac{10}{27}}

Now, with the help of a calculator, in radians:

\frac{\pi}{6}(m-6) = 1.19

\pi m - 6\pi = 6*1.19

\pi m = 6*1.19 + 6 \pi

m = \frac{6*1.19 + 6 \pi}{\pi}

m = 8.27

8.27 months after January, since 8.27 + 1 = 9.28, it happens during the month of September.

5 0
3 years ago
What is this answer (please)
sergejj [24]
A I had this on a test before it was a
6 0
3 years ago
Expand the logarithm.<br><br> log (y/5)2
viktelen [127]

Answer: 2 log y - log 25

<u>Step-by-step explanation:</u>

Notes: Division expands to subtraction.  Exponent expands to multiplication.

log\bigg(\dfrac{y}{5}\bigg)^2\\\\\\=log\bigg(\dfrac{y^2}{5^2}\bigg)\\\\\\=log(y^2)-log(5^2)\\\\\\=\large\boxed{2log(y)-log(25)}

4 0
2 years ago
What does the x=?...
VikaD [51]

Answer:

3.75

Step-by-step explanation:

By Basic Proportionality Theorem:

\frac{6}{x}   =  \frac{8}{5}  \\  \\ x =  \frac{6 \times 5}{8}  \\  \\ x =  \frac{30}{8}  \\  \\ x = 3.75

6 0
3 years ago
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