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Tema [17]
3 years ago
14

Elizabeth works a part time schedule to help pay for college. She has worked for the last 14 days without a day off for a total

of 48 hours. Depending on her schedule she either worked 3 or 4 hours a day. During the 14 day period how many days did Elizabeth work for 4 hours a day?
Mathematics
1 answer:
Pachacha [2.7K]3 years ago
6 0

3-hour days = x 


4-hour days = y


(x+y=14)

giving us two equations:

 x+y=14

(3x+4y=48)

 42-3y+4y=48
  

4y-3y=48-42

y=6

x+(6)=14

x=8

Elizabeth worked 6 4-hour days

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A pile of sand has a weight of 90kg.
ankoles [38]

Answer:

9Kg, 18Kg and 63 Kg

Step-by-step explanation:

Sum the parts of the ratio, 1 + 2 + 7 = 10 parts

Divide the weight of sand by 10 to find the value of one part of the ratio

90 Kg ÷ 10 = 9 Kg ← value of 1 part of the ratio, thus

2 parts = 2 × 9 Kg = 18 Kg

7 parts = 7 × 9 Kg = 63 Kg

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3 0
3 years ago
Can someone pls finish this for me, ill give brainliest
dolphi86 [110]

Answer:

dependent variable: circles drawn

independent: time

the independent variable is what you control, which was the time spent. the amount of circles you were able to draw <em>depended</em> on the amount of time you had, so it was the dependent variable.

part 2:

if you drew circles at the same rate

0-0

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8 0
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A rectangular sheet of metal has identical squares cut from each corner. The sheet is then bent along the dotted lines to form a
Reika [66]

The <em><u>correct answer</u></em> is:

3 inches.

Explanation:

We will use the Rational Roots Theorem to solve this.

First we can divide both sides of the equation by 4 in order to simplify it:

\frac{4x^3-72x^2+320x}{4}=\frac{420}[4} \\ \\x^3-18x^2+80=105

In order to solve this, we want the polynomial set equal to 0. To do this, subtract 105 from both sides:

x^3-18x^2+80x-105=105-105 \\x^3-18x^2+80x-105=0

The Rational Roots Theorem says that if p/q is a root of the polynomial, then p is a factor of the constant term and q is a factor of the leading coefficient. The constant term is -105. Drawing a factor tree, we find that the factors of this number are 1, -1, 3, -3, 5, -5, 7, -5, 15, -15, 21, -21. The leading coefficient is 1; its only factor is 1. This means p/q must be a whole number, and can be any of the factors of 105.

Using synthetic division, we try 1 in the box:

<u>1 |</u> 1 -18 80 -105

_______<u> 1</u>__<u> -17</u>___<u>63</u>__

1 -17 63 -42

Since there is a remainder, this is not a root. Trying -1,

<u>-1 |</u> 1 -18 80 -105

_______<u>-1</u>__<u> 19 </u>_<u>-99</u>_

1 -19 99 -204

This is not a root; in fact, it shows us that none of the negatives will be a factor, as the absolute values increase as we complete the synthetic division.

Trying 3,

3 | 1 -18 80 -105

________<u>3</u>__<u>-45</u>___<u>105</u>_

1 -15 35 0

Since there is no remainder, 3 is a root, and is the answer we are looking for.

3 0
3 years ago
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Kay [80]

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you can use long division with Remainder (look at the picture).

\dfrac{44}{3}=44:3=14\ + R(2)=14\dfrac{2}{3}

8 0
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How many unique ways are there to arrange the letter in the word PRIOR?
aleksandrvk [35]

Answer:

There are 60 ways to arrange the letters in the word PRIOR.

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