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2 years ago

Logan spent $42 to buy 4 basketballs. What was the price per basketball

Mathematics

2 answers:

ale4655 [162]2 years ago

3 0

Answer:

$10.5

Step-by-step explanation:

$42 for 4 basketballs

price of 1 basketball = 42/4

42/4 = 10.5

-Chetan K

inna [77]2 years ago

3 0

Answer:

10.5 dollars

Step-by-step explanation:

42÷4=10.5

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Mrs. Lane took a survey of the types of pants her students were wearing. She collected the data: jeans 14, shorts 9, and capris

astra-53 [7]

36%
14+9+2=25
9/25=.36

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2 years ago

30% of what number is 13.8?

Feliz [49]

The answer is 4.14 hoped that helped

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3 years ago

Read 2 more answers

Tina loves to read. Before breakfast, she read 21/2 pages, at lunch she read 31⁄5 pages, and after dinner she read 11⁄3 pages. H

MrMuchimi

Answer: 7 1/30

Step-by-step explanation:

Tina loves to read. Before breakfast, she read 2 1/2 pages, at lunch she read 3 1/5 pages, and after dinner she read 1 1/3 pages. To find the total, we add all the pages together. This will be:

2 1/2 + 3 1/5 + 1 1/3

The LCM of 2, 5 and 3 is 30.

= 2 15/30 + 3 6/30 + 1 10/30

= 6 31/30

= 7 1/30.

5 0

2 years ago

What is the ratio of x to y?

abruzzese [7]

$\frac{3}{2} = \frac{2x}{2x+y}$

From any proportion, we get another proportion by inverting the extremes (or the means):

$\frac{2x+y}{2} = \frac{2x}{3}$ = k

so we have:

2x=3k
2x+y=2k therefore:
3k+y=2k
y= - k

x= $\frac{3}{2} k$

$\frac{x}{y}$ = - $\frac{3}{2}$

The corect answer is A. -3/2

or:

$\frac{3}{2} = \frac{2x}{2x+y}$

From any proportion, we get another proportion by inverting the extremes and the means:

$\frac{2x+y}{2x} = \frac{2}{3}$

We use a property of proportions:

$\frac{a}{b} = \frac{c}{d}$ where a, d are extremes and b,c are means and the product of the extremes equals the product of the means (a*d=b*c),

so we have

$\frac{a-b}{b} = \frac{c-d}{d}$ or

$\frac{a+b}{b} = \frac{c+d}{d}$ (you can check this also by "the product of the extremes equals the product of the means")

$\frac{2x+y}{2x} = \frac{2}{3}$

$\frac{(2x+y)-2x}{2x} = \frac{2-3}{3}$

$\frac{y}{2x} = \frac{-1}{3}$

3y = - 2x

$\frac{x}{y} = -\frac{3}{2}$

4 0

3 years ago

In a certain region, about 6% of a city's population moves to the surrounding suburbs each year, and about 4% of the suburban po

Sedbober [7]

Answer:

City @ 2017 = 8,920,800

Suburbs @ 2017 = 1, 897, 200

Step-by-step explanation:

Solution:

- Let p_c be the population in the city ( in a given year ) and p_s is the population in the suburbs ( in a given year ) . The first sentence tell us that populations p_c' and p_s' for next year would be:

0.94*p_c + 0.04*p_s = p_c'

0.06*p_c + 0.96*p_s = p_s'

- Assuming 6% moved while remaining 94% remained settled at the time of migrations.

- The matrix representation is as follows:

$\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] \left[\begin{array}{c}p_c\\p_s\end{array}\right] = \left[\begin{array}{c}p_c'\\p_s'\end{array}\right]$

- In the sequence for where x_k denotes population of kth year and x_k+1 denotes population of x_k+1 year. We have:

$\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] x_k = x_k_+_1$

- Let x_o be the populations defined given as 10,000,000 and 800,000 respectively for city and suburbs. We will have a population x_1 as a vector for year 2016 as follows:

$\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] x_o = x_1$

- To get the population in year 2017 we will multiply the migration matrix to the population vector x_1 in 2016 to obtain x_2.

$x_2 = \left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right]\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] x_o$

- Where,

$x_o = \left[\begin{array}{c}10,000,000\\800,000\end{array}\right]$

- The population in 2017 x_2 would be:

$x_2 = \left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right]\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] \left[\begin{array}{c}10,000,000\\800,000\end{array}\right] \\\\\\x_2 = \left[\begin{array}{c}8,920,800\\1,879,200\end{array}\right]$

5 0

3 years ago