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Katen [24]
4 years ago
12

7. The function y = 7x + 35 represents the monthly cost y (in dollars) of a group of

Mathematics
1 answer:
Inessa [10]4 years ago
8 0

Answer:

x independant

y dependant

Step-by-step explanation:

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A recipe uses 1/3 cup of brown sugar to make 18 cookies. How many cups of brown sugar are needed to make 45 cookies?
Alenkinab [10]

Answer:

5/6 cups of sugar

Step-by-step explanation:

45 divided by 18 = 2.5

1/3 x 2.5 = 0.83

0.83 = 5/6 cups

3 0
3 years ago
Read 2 more answers
Mr. Tragrr has $500.00 to spend at a bicycle store. All the prices listed down below include tax.
fgiga [73]

To answer the question, you need to determine the amount Mr. Traeger has left to spend, then find the maximum number of outfits that will cost less than that remaining amount.

Spent so far:

... 273.98 + 3×7.23 +42.36 = 338.03

Remaining available funds:

... 500.00 -338.03 = 161.97

The cycling outfits are about $80 (slightly less), and this amount is about $160 (slightly more), which is 2 × $80.

Mr. Traeger can buy two (2) cycling outfits with the remaining money.

_____

The remaining money is 161.97/78.12 = 2.0733 times the cost of a cycling outfit. We're sure he has no interest in purchasing a fraction of an outfit, so he can afford to buy 2 outfits.

8 0
3 years ago
Read 2 more answers
A mass weighing 3 lb stretches a spring 3 in. If the mass is pushed upward, contracting the spring a distance of 1 in and then s
Bas_tet [7]

Answer:

Step-by-step explanation:

m=\frac{3}{32}\\ \gamma =0\text{ damping constant.}\\ k=\frac{3}{\frac{1}{4}}=12\\ F(t)=0\\ \text{so equation of motion is }\\ mu''+\gamma u'+ku=F(t)\\ \frac{3u''}{32}+12u=0\\ u''+128u=0\\ \text{and initial conditions are}\\ u(0)=-\frac{1}{12}\\ u'(0)=2\\ u''+128u=0\\ \text{characterstic equation is}\\ r^2+128=0\\ \text{roots are }\\ r=\pm 8\sqrt{2}i\\ \text{therefore general solution is}\\ u(t)=A\cos8\sqrt{2}t+Bsin8\sqrt{2}t\\ \text{using initial conditions we get}\\ A=-\frac{1}{12}\\ B=\frac{\sqrt{2}}{8}\\ \text{therefore solution is }\\ u(t)=-\frac{1}{12}\cos8\sqrt{2}t+\frac{\sqrt{2}}{8}\sin8\sqrt{2}t\\
{hence}\\R=\sqrt{\frac{11}{288}}\\\\\sigma=\pi - \tan^{-1}\frac{1}{\sqrt{2}}\\\\\omega_0=8\sqrt{2}\\T=\frac{4}{4\sqrt{2}}

3 0
3 years ago
Kaya devoted 2/5 of her study time to mathematics, 3/20 of her time to social studies, 1/3 of her time to chemistry and the rema
andrezito [222]

Answer:

  54 minutes

Step-by-step explanation:

The sum of fractions is ...

  2/5 + 3/20 + 1/3 = 11/20 +1/3 = (3·11 + 20·1)/(20·3) = 53/60

Then the 42 minutes devoted to English represents 1 - 53/60 = 7/60 of her study time.

Kaya's social studies time is 3/20 = 9/60 of her total, so the ratio of SS to Eng is ...

  SS : Eng = (9/60) : (7/60) = 9 : 7

When we multiply the numbers in this ratio by 6, we find ...

  SS : Eng = 54 : 42

Kaya spent 54 minutes studying social studies.

5 0
3 years ago
Solve the following please:
Reika [66]

Answer:21

Step-by-step explanation: solve whats in the numerator then solve whats in the denominator then you divide

6 0
3 years ago
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