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Anettt [7]
3 years ago
9

Lauren made $45 babysitting. She put 1/3 in her savings and spent 3/5 of the remainder. How much money did she spend? (OR YOU CA

N ANSWER) Colleen had $1,600. She spent 3/8 of it on skis and 1/4 of the remainder on ski gear. How much money did she spend altogether on the skis and the gear?
(PLEASE SHOW STEPS FOR EITHER ONE YOU CHOOSE)
Mathematics
1 answer:
earnstyle [38]3 years ago
7 0
Lauren spent $18. She put 1/3 of $45 ($15) in a savings account, then spent 3/5 of the remaining $30 ($18).
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Suppose that y varies inversely as x, and x=9 when y=15. Find the value for k and write the function. Group of answer choices La
Radda [10]

Answer:

see explanation

Step-by-step explanation:

Given that y varies inversely as x then the equation relating them is

y = \frac{k}{x} ← k is the constant of variation

To find k use the condition that x = 9 when y = 15

15 = \frac{k}{9} ( multiply both sides by 9 )

k = 135

y = \frac{135}{x} ← equation of variation

8 0
3 years ago
Use the Midpoint Rule with n = 5 to estimate the volume V obtained by rotating about the y-axis the region under the curve y = 1
velikii [3]

Using the shell method, the volume is given exactly by the definite integral,

2\pi\displaystyle\int_0^1x(1+9x^3)\,\mathrm dx

Splitting up the interval [0, 1] into 5 subintervals gives the partition,

[0, 1/5], [1/5, 2/5], [2/5, 3/5], [3/5, 4/5], [4/5, 5]

with left and right endpoints, respectively, for the i-th subinterval

\ell_i=\dfrac{i-1}5

r_i=\dfrac i5

where 1\le i\le5. The midpoint of each subinterval is

m_i=\dfrac{\ell_i+r_i}2=\dfrac{2i-1}{10}

Then the Riemann sum approximating the integral above is

2\pi\displaystyle\sum_{i=1}^5m_i(1+9{m_i}^3)\frac{1-0}5

\dfrac{2\pi}5\displaystyle\sum_{i=1}^5\left(\frac{2i-1}{10}+9\left(\frac{2i-1}{10}\right)^4\right)

\dfrac{2\pi}{5\cdot10^4}\displaystyle\sum_{i=1}^5\left(16i^4-32i^3+24i^2+1992i-999\right)=\frac{112,021\pi}{25,000}\approx\boxed{14.08}

(compare to the actual value of the integral of about 14.45)

3 0
3 years ago
Using the same spinner and die from the problem above, what is the probability of not spinning a blue, and then not rolling a fi
MatroZZZ [7]
This is the answer to your question

4 0
3 years ago
(8p+7)-(5p+1) subtract
Blizzard [7]

Answer:

<h2>3p+6 </h2>

Step-by-step explanation:

8p+7−(5p+1)  

=8p+7+−1(5p+1)

=8p+7+−1(5p)+(−1)(1)

=8p+7+−5p+−1  

=8p+7+−5p+−1

=(8p+−5p)+(7+−1)

=3p+6

and thats how you get the answer

---------------------------------

3 0
2 years ago
Keona pours 128 ounces of water into a jar 3 times to fill it. How many pints of water does it take to fill the jar? (4 points)
soldier1979 [14.2K]

Answer:

24 pints

Step-by-step explanation:

128 ounces · 3 = 384 ounces

384/16 = 24 pints

4 0
3 years ago
Read 2 more answers
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