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2 years ago

Solve the following 5 3/4 + (6 2/3 - 4 5/6) =

Mathematics

1 answer:

chubhunter [2.5K]2 years ago

4 0

Answer:

7 5/12

Step-by-step explanation:

first, subtract 4 5/6 from 6 2/3 by converting 6 2/3 to 6 4/6

5 3/4 + (6 4/6 - 4 5/6) = 5 3/4 + 1 4/6

* I borrowed 6/6 or '1' from the 6 and made 4/6 into 10/6

5 3/4 equals 5 9/12 and 1 4/6 equals 1 8/12

adding them gives you:

6 17/12 which is the same as 6 + 1 5/12, or 7 5/12

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Mara carried water bottles to the field to share with her team at halftime. The water bottles weighed a total of 60x^2 + 48x + 2

VLD [36.1K]

Answer:

$b)\: 12(5x^2+4x+2)$

Step-by-step explanation:

The given expression for water bottles is

$60x^2+48x+24$ .

The highest common factor of all the terms of this expression is $12$ .

We now factor to obtain;

$12(5x^2+4x+2)$

Hence the the factorization that represents the number of water bottles and the weight of each bottle is the one in option B.

The correct answer is B

We therefore factor to obtain,

3 0

3 years ago

Josie took a road trip. She drove for 45 minutes at 70 miles per hour. Then she drove 15 minutes at 20 miles per hour. How far d

Hunter-Best [27]

Answer:

Therefore Josie drove 57.5 miles.

Step-by-step explanation:

Speed: The ratio of distance to time.

To find the distance we use the following formula

$Distance= time \times speed$

Given that Josie drove 45 minutes at 70 miles per hour.

$45 \ minutes= \frac{45}{60}\ h=\frac34\ h$

In 45 minutes, she traveled = $(70\times \frac34) \ miles$

=52.5 miles.

The she drove 15 minutes at 20 mile per hour.

$15 \ minutes= \frac{15}{60}\ h=\frac14\ h$

In 15 minutes, she traveled $=(20\times \frac 14) \ miles$

=5 miles

Therefore Josie drove (52.5+5) miles= 57.5 miles.

3 0

3 years ago

Every one reading this please help! I don't understand this and I will give brainliest to the person that helps first with a goo

stira [4]

Since the area of the poster doesn't change by putting it in a frame, we presume the question is asking what the area of the framed poster is.

The length of the poster in its frame is ...
(frame width on one side) + (poster length) + (frame width on the other side)
2 in + 32 in + 2 in = 36 in

Likewise, the width of the poster in its frame is ...
2 in + 24 in + 2 in = 28 in

The area of a rectangle 36 in by 28 in is the product of these dimensions:
Area = (36 in)×(28 in) = (36×28) in² = 1008 in²

6 0

3 years ago

Read 2 more answers

Rachel's cell phone company charges $0.10 per minute. She used 350 minutes last month and paid $84. writ and solve a linear equa

dimaraw [331]

Answer:

Step-by-step explanation:

cuz,
x equals the number of minutes so use the y slope formula

0.10(x)+the intercept = y
0.10(350)+the intercept = 84
35+the intercept = 84
the intercept = 49
so the equation is
0.10(x)+49 = y
or
1/10(x)+49 = y
1/10(300)+49=y
30+49=y
79=y
so the answer is 79 dollars

4 0

2 years ago

You roll two fair dice, one green and one red. (a) Are the outcomes on the dice independent? Yes No (b) Find P(1 on green die an

navik [9.2K]

Answer:

1) yes ; 2) 1/36 ; 3) 1/36 ; 4) 1/18

Step-by-step explanation:

Given the following :

Two fair dice : 1 green ; 1 red

A) Are the outcomes on the dice independent:

Yes, becomes the outcome of the green dice does not have any effect on the outcome of the red dice.

B) Find P(1 on green die and 5 on red die).

Probability = (number of required outcome) / (total possible outcomes)

Total outcomes of a dice = 6

P(1 on green) = 1 / 6

P(5 on red) = 1/6

P(1 on green die and 5 on red die) :

(1/ 6) × (1/6) = 1/36

C) Find P(5 on green die and 1 on red die)

P(5 on green) = 1/6

P(1 on red) = 1/6

Find P(5 on green die and 1 on red die):

1/6 × 1/6 = 1/36

D) Find P((1 on green die and 5 on red die) or (5 on green die and 1 on red die))

P(5 on green die and 1 on red die) = 1/36

P(1 on green die and 5 on red die) = 1/36

P((1 on green die and 5 on red die) or (5 on green die and 1 on red die)) =

P(5 on green die and 1 on red die) + P(1 on green die and 5 on red die)

= (1/36 + 1/36) = 2 /36 = 1/18

8 0

2 years ago