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Alona [7]
2 years ago
7

Question 1. Philant sleeps 3/8 of each day. He spends 1/3 of each day at work. What fraction of his day is he not sleeping or wo

rking? Explain how you got your answer.
On Saturday, Akena spent 2/3 hour at the park with her family. Then she spent 1/4 hour riding her bike. How much longer did Akena spend at the park than riding her bike? Explain how you got your answer. *
PLSSS HELP!!
Mathematics
1 answer:
Vaselesa [24]2 years ago
8 0
The first question. 7/24

Explanation: first you need to get the fractions to the same denominator so you use lowest common multiples
The lowest common multiple of 8 and 3 is 24 so you times both 3 and 8 by 3 giving you 9/24 and then you times both 1 and 3 by 8 giving you 8/24
When you add these together you get 17/24 so the rest of that would be 7/24
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Question : <br> 3x-9y+12=?
PSYCHO15rus [73]
Simplifyiing 
the greatest common factor is 3  so 

3x - 9y + 12 = 3(x - 3y + 4)
5 0
3 years ago
Your friend Albert has invented a game involving two ten-sided dice. One of the dice has threes, fours, and fives on its faces,
guapka [62]

Answer:

d. 11.6

Step-by-step explanation:

The results of the first die and the second one are independent to each other. The expected value of Z is obtained, therefore, by summing the expected values of both X and Y, because Z = X+Y and X and Y are independent. As a result \mu_z = \mu_x + \mu_y = 3.6+8.0 = 11.6 .

4 0
3 years ago
Mary and Mike went to the store to buy colored pencils for their science class.mike bought a 12-pack for 1.69,and Mary bought a
sweet-ann [11.9K]

12-pack for 1.69 is a better buy

<em><u>Solution:</u></em>

Given that, Mike bought a 12-pack for 1.69 and Mary bought a 24-pack for 3.18

We have to find which is the better buy

First we have to find the unit rate

Unit rate is cost of 1 pack

<em><u>Mike bought a 12-pack for 1.69</u></em>

Therefore,

Cost of 12 pack = 1.69

Cost of 1 pack is found by dividing 1.69 by 12

cost\ of\ 1\ pack = \frac{1.69}{12} = 0.14083

Thus unit rate of Mike is 0.14083 dollar per pack

<em><u>Mary bought a 24-pack for 3.18</u></em>

Cost of 24 pack = 3.18

Cost of 1 pack is found by dividing 3.18 by 24

cost\ of\ 1\ pack = \frac{3.18}{24} = 0.1325

Thus unit rate of Mary is 0.1325 dollars

<em><u>On comparing both the unit rate</u></em>

0.14083>0.1325

Thus unit rate of Mike is larger

Thus, 12-pack for 1.69 is a better buy

3 0
2 years ago
What is the next number in the sequence? 1, 6, 26, 106, 426,...1, 6, 26, 106, 426,... enter your answer in the box?
anzhelika [568]
Easy way
the next number is 1706

7 0
3 years ago
For which product or quotient is this expression the simplest form? (image attached)! please help :((
mars1129 [50]

Answer:

D

Step-by-step explanation:

For simplify the work we can start to factorise all the possibles expressions:

2x + 8.

8 is multiple of 2, so it can became

2(x+4)

x^2 - 16 this is a difference of two squares, so it can be rewritten as:

(x+4)(x-4)

x^2 + 8x + 16

we have to find two numbers whose sum is 8 and whose product is 16

the two number are 4 and 4

it becames:

(x+4)(x+4)

x+ 4 can‘t be simplified

if we look at the expression, we can find that x-4 appears at the numerator so

x^2 - 16 must be at numerator

but the second factor (x+4) doesn’t appear, so has been simplified. This situation can be possible only in the D option

in fact

(x+4)(x-4)/2(x+4) * (x+4)/(x+4)(x+4)

it became

(x+4)(x-4)/2 * 1/(x+4)(x+4)

(x-4)/2(x+4)

4 0
2 years ago
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