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2 years ago

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Kimberly has $80. She wants to purchase a school bag for $16 and as many pairs of shoes as she can. Each pair of shoes is $8. Wr

ite an inequality for the number of school shoes she can purchase.
A. 16x + 8 ≤ 80
B. 80 + 16 ≤ 8x
C. 16x + 8x ≤ 80
D. 8x + 16 ≤ 80

1 answer:

schepotkina [342]2 years ago

7 0

Answer:

D

Step-by-step explanation:

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. Three professors examined awareness of four widely disseminated retirement rules among employees at University of Utah. These

Leya [2.2K]

Answer:

a) The population of interest = 10,000 benefited employees. It includes all benefited employees.

b) The sample collected = 3,095. These are the benefited employees who participated in the study.

c) Indication of demographic variables as categorical or numerical:

Demographic data: Categorical or Numerical

Gender = Categorical

Age (years) = Numerical

Education level = Numerical

(years completed)

Marital status = Categorical

Household income ($) = Numerical

Employment Category = Categorical

Step-by-step explanation:

a) Data and Calculations:

Population of interest = 10,000 benefited employees

Sample = 3,095 participants

Demographic data:

Gender

Age (years)

Education level (years completed)

Marital status

Household income ($)

Employment Category

b) A variable is numerical value (e.g. length, test scores, etc.). It is a continuous variable. A categorical variable assumes a limited or fixed number of possible values, or it is categorized in groups.

8 0

2 years ago

Find the value of x. Picture below

Wittaler [7]

Here a right angled triangle given. We know that one angle of a right angled triangle is 90°.

As the sum of three angles of a triangle is 180°, so we can say the sum of other two angles of a right angled triangle is (180-90)° = 90°.

Here in the figure the other two angles given $(2x)^o$ and $(x+15)^o$ . Sum of these two angles is 90°.

So we can write the equation as,

$(2x)+(x+15) = 90$

We have to remove the parenthesis now.

$2x+x+15 = 90$

Now we will add the like terms. Here x and 2x are like terms. By adding them we will get,

$3x+15 = 90$

To solve it for x, now we have to move 15 to the other side by subtracting it from both sides.

$3x+15-15 = 90-15$

$3x= 90-15$

$3x= 75$

Now to get x, we have to move 3 to the other side, by dividing it to both sides.

$(3x)/3 = (75)/3$

$x = (75)/3$

$x = 25$

We have got the required value of x.

The solution is x= 25.

3 0

3 years ago

How do I solve this using the substitution method 3x+2y=9 x-5y=4

Harlamova29_29 [7]

$\bf \begin{cases} 3x+2y=9\\ x-5y=4 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{solving the 2nd equation for "y"}}{x-5y = 4\implies x-4-5y=0}\implies x-4=5y\implies \cfrac{x-4}{5}=y \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{substituting on the 1st equation}}{3x+2\left(\cfrac{x-4}{5} \right) = 9}\implies 3x+\cfrac{2(x-4)}{5}=9 \\\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{5}}{5\left( 3x+\cfrac{2(x-4)}{5} \right)=5(9)}\implies 15x+2(x-4)=45$

$\bf 15x+2x-8=45\implies 17x-8=45\implies 17x=53\implies \boxed{x=\cfrac{53}{17}} \\\\\\ \stackrel{\textit{we know that}}{\cfrac{x-4}{5}=y}\implies \cfrac{\left(\frac{53}{17} -4 \right)}{5}=y\implies \cfrac{\left(\frac{53-68}{17} \right)}{5}=y\implies \cfrac{~~\frac{-15}{17}~~}{5}=y \\\\\\ \cfrac{~~\frac{-15}{17}~~}{\frac{5}{1}}=y\implies \cfrac{-15}{17}\cdot \cfrac{1}{5}=y\implies \boxed{-\cfrac{3}{17}=y} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \left( \frac{53}{17}~~,~~-\frac{3}{17} \right)~\hfill$

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Answer:

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Step-by-step explanation:

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