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Anvisha [2.4K]
3 years ago
5

A grocery store sells 6 bottles of water for $4 and 18 bottles of water for $10. Is the cost of the water proportional to the nu

mber sold? EXPLAIN.
Mathematics
1 answer:
noname [10]3 years ago
3 0
No, because if it were proportional the cost for 18 bottles of water would be $12
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14 thanks you so much
Zigmanuir [339]

Set up the equation 88+7.25h=169. Now that we have the equation and the only variable to solve is h, we will begin the algebra.

1. Using the Subtraction Property of Equality, subtract 88 from both sides to get the equation 7.25h = 81

2. Now use the Division Property of Equality to divide both sides of the equation by 7.25. You should then get h = 11.1724...

Now assuming he is getting paid by the hour, the number of hours he needs to work to get the skateboard is 12.

7 0
3 years ago
Read 2 more answers
What is the area of the figure?
Korolek [52]

Answer:

  96 m²

Step-by-step explanation:

The figure is a trapezoid with bases of length 10 m and 22 m, and height 6 m. Putting these numbers into the formula for area of a trapezoid gives ...

  A = (1/2)(b1 +b2)h

  = (1/2)(10 m +22 m)(6 m) = 96 m²

The area of the figure is 96 m².

6 0
4 years ago
Find the indicated value. Use either half angle formulas or sum and difference formulas.
MrMuchimi
By the angle difference formula for sines, we have:

\sin 15^\circ = \sin 45^\circ \cos 30^\circ - \sin 30^\circ \cos 45^\circ = \frac{sqrt{6}}{4} - \frac{sqrt{2}}{4} = \frac{\sqrt{6} - \sqrt{2}}{4}.

By the angle sum formula for tangents, we have:

\tan 75^\circ = \frac{\tan 45^\circ + \tan 30^\circ}{1 - \tan 45^\circ \tan 30^\circ} = \frac{1+\frac{\sqrt{3}}{3}}{1 - \frac{\sqrt{3}}{3}} = \frac{3 + \sqrt{3}}{3 - \sqrt{3}}.

Rationalizing the denominator gives \frac{12+6\sqrt{3}}{6} = 2+\sqrt{3} as the final answer.
8 0
4 years ago
Defin was given a riddle to solve: the sum of two consecutive positive integers is 71. find the to positive integers.
seropon [69]

Answer:

The two numbers are 35 and 36.

Step-by-step explanation:

While you could do this question just by 'guess and check', the best way to do it is to divide 71 by 2, which gives 35.5. So out two numbers should be approximately equal to 35.5. So we just take the two closest: 35, and 36, which are consecutive (consecutive means 'one after the other'), and we see add to 71.

So we see that 35 and 36 is the answer.

4 0
3 years ago
Quincy needs 322 yards of ribbon to decorate quilts for a craft fair. The ribbon comes in rolls of 15 yards.
stiv31 [10]
322/15 = 21.46.....Quincy should buy 22 rolls
8 0
3 years ago
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