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attashe74 [19]
2 years ago
11

Which of the following is a true statement?

Mathematics
1 answer:
labwork [276]2 years ago
8 0

First to Answer:

6/7 > 5/8 is a true statement.

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Write an equation for the following: y varies directly with x and z. Find K when x=2, y=12 and z=5.
olga_2 [115]

\qquad \qquad \textit{direct joint variation} \\\\ \textit{\underline{y} varies directly with \underline{x} and \underline{z}}~\hspace{8.5em} \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}xz~\hfill } \\\\ \textit{\underline{y} varies directly with \underline{x}, }w^2\textit{ and }z^5~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}xw^2z^5~\hfill } \\\\[-0.35em] ~\dotfill

y = kxz\qquad \textit{we know that} \begin{cases} x=2\\ y=12\\ z=5 \end{cases}\implies 12=k(2)(5) \\\\\\ \cfrac{12}{(2)(5)}=k\implies \cfrac{6}{5}=k~\hspace{10em}\boxed{y=\cfrac{6}{5}xz}

6 0
2 years ago
1. 63 is 90% of what number?<br> 70<br><br> with double number lines-Super confused, please help!!
olganol [36]

Answer:

70.

Step-by-step explanation:

Let x be the required number.

We are asked to find the number whose 90% equals to 63.

We can represent our given information in an equation as:

Now, we need to solve for x.

Therefore, 90% of 70 is 63.

8 0
2 years ago
Joe spends 18.75% of his working day washing cars. He spends 1.5 hours washing cars. How many total hours does he work per day?
insens350 [35]

Answer:

8 hours

Step-by-step explanation:

Joe spends 18.75% of his working day washing cars.

Joe spends 1.5 hours washing car.

Therefore 18.75% is equal to 1.5 hour.

18.75% = 1.5 hour

1% = 1.5 ÷ 18.75 = 0.08 hour

100% = 0.08 x 100 = 8 hours

4 0
3 years ago
Erin's water bottle holds 600 ml of water.dylans water bottle holds 1 l of water. whose water bottle has the greater capacity?ho
Lapatulllka [165]
Dylans water bottle is greater by 400 ml
4 0
2 years ago
Eleven subtracted from two times a number is -31.
erica [24]

Answer:

x=-10

Step-by-step explanation:

2x-11=-31\\

Add 11 on both sides.

2x-11=-31\\2x=-20\\2x/2x=-20/2\\x=-10

7 0
2 years ago
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