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swat32
2 years ago
6

You spend $11 on school supplies. You purchase pencils of $0.25 each and pens for $2 each. You purchase a total of 30 pencils an

d pens. How many of each did you purchase? A. Identify your variable(s) B. Write the equation(s) C. Solve the equation
Mathematics
1 answer:
Klio2033 [76]2 years ago
5 0

28 pencils and 2 pens

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A sample of 2,845 auto workers was selected to learn if they would go on strike. Over 50% of those in the sample declared they w
bogdanovich [222]

Answer:

This condition is true.

Step-by-step explanation:

A sample of 2,845 auto workers was selected to learn if they would go on strike.

Over 50% of those in the sample declared they would strike.

We can assume that the majority of all auto workers favor a strike. This is true because, in the sample, it is declared that 50% of workers would strike.

And this sample represents the whole majority or population. Hence we can say that a majority of all auto workers favor a strike.

5 0
2 years ago
P(multiple of 6 / 2-digit number)
Ne4ueva [31]

Answer:

positive 2 digit nos range from 10 to 99 that consists of 90 population size the number of 2 digit nubers that are a multiple of 6 is: 15 listed as ... the number of 2 digit nubers that are a multiple of 6 is: 15 ... P(two digit multiple of 6) = 15/90 = 1/6

Step-by-step explanation:

5 0
2 years ago
in 2016 the average Raleigh driver spent 18 hours in traffic jams, which accounted for 6% of their total driving time. How many
castortr0y [4]

Answer: 300 hrs

The time spent behind the wheel by the average Raleigh driver in 2016 is  300 hrs

Step-by-step explanation:

Given that;

Raleigh driver spent 18 hours in traffic jams

And it accounts for 6% of their total driving time

Now

let total driving time be = x hrs

so

6% of total driving time = 18 hrs

6/100 × x = 18hrs

6x = 1800 hrs

x = 1800/6

x = 300 hrs

∴ The time spent behind the wheel by the average Raleigh driver in 2016 is  300 hrs

5 0
2 years ago
Jenna offers regular haircuts for $25 and haircuts plus coloring for $42.This weekend had a total of 24 clients and Jenna earned
shepuryov [24]
<u><em>Answer:</em></u>
Jenna did 16 regular haircuts
Jenna did 8 haircuts with coloring

<u><em>Explanation:</em></u>
Assume that the number of regular haircuts is x and the number of haircuts plus coloring is y

<u>We are given that:</u>
<u>1- Jenna did a total of 24 clients, this means that:</u>
x + y = 24
This can be rewritten as:
x = 24 - y ...............> equation I

<u>2- regular haircuts cost $25, haircuts plus coloring cost $42 and she earned a total of $736. This means that:</u>
25x + 42y = 736 ..........> equation II

<u>Substitute with equation I in equation II and solve for y as follows:</u>
25x + 42y = 736
25(24-y) + 42y = 736
600 - 25y + 42y = 736
17y = 136
y = 8

<u>Substitute with y in equation I to get x as follows:</u>
x = 24 - y
x = 24 - 8
x = 16

<u>Based on the above:</u>
Jenna did 16 regular haircuts
Jenna did 8 haircuts with coloring

Hope this helps :)
5 0
2 years ago
Jason’s savings account has a balance of $2179. After 5 years , what will the amount of interest be at 6% compounded quarterly?
satela [25.4K]

Answer:

$755.80

Step-by-step explanation:

Determine the compound amount first and then subtract the principal from it, to find the amount of interest.

The compound amount formula is A = P (1 + r/n)^(nt), where

P is the initial principal, r is the interest rate as a decimal fraction, n is the number of compounding periods per year, and t is the number of years.  Here, P = $2179; t = 5 yrs; r = 0.06; and n = 4 (quarterly compounding).

We get:

A = $2179(1 + 0.06/4)^(4*5), or $2179(1.015)^20, or $2179(1.347) = $2937.80.

The compound amount is $2934.80.  Subtracting the $2179 principal results in the interest earned:  $755.80.

5 0
2 years ago
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