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gregori [183]
3 years ago
8

Angeline made a dish with 5 1/3 cups of pasta. One serving is 0.2 cups. How many servings of pasta were in the dish Angeline mad

e?
Mathematics
1 answer:
kolbaska11 [484]3 years ago
7 0

Answer:

26 2/3

Step-by-step explanation:

We could turn both of these numbers into decimals, but I find fractions easier.

so 5 1/3 as an improper fraction is 16/3

0.2 as a fraction is 2/10 or 1/5

so now we have the equation 16/3 ÷ 1/5 or 16/3 x 5/1

this give me 80/3, then when simplified gives me 26 2/3.

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Follow the directions to solve the system of equations by elimination. 8x + 7y=39 4x – 14y = -68​
harina [27]

Step-by-step explanation:

Hey there!

Here;

The equations are;

8x + 7y = 39.......(i)

4x - 14y =  - 68..........(ii)

Multiplying equation (i) by 2.

16x + 14y = 78

<u>4</u><u>x</u><u> </u><u>-</u><u> </u><u>1</u><u>4</u><u>y</u><u> </u><u> </u><u> </u><u>=</u><u> </u><u>-68</u>

20x = 10

x =  \frac{10}{20}

x = 1/2.

Putting value of 'x' in equation (i).

8 \times  \frac{1}{2}  + 7y =  39

4 + 7y = 39

7y = 3 9 - 4

y =  \frac{35}{7}

Therefore the value of y is 5.

<u>Check</u><u>:</u>

<u>Put</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>x</u><u> </u><u>and</u><u> </u><u>y</u><u> </u><u>in</u><u> </u><u>equation</u><u> </u><u>(</u><u>i</u><u>)</u><u>.</u>

8x + 7y = 39

8 \times  \frac{1}{2}  + 7 \times 5 = 39

4 + 35 = 39

39 = 39

(True).

<u>Therefore</u><u>, </u><u>the</u><u> </u><u>solution</u><u> </u><u>is</u><u> </u><u>;</u><u> </u><u>(</u><u>1</u><u>/</u><u>2</u><u>,</u><u>5</u><u>)</u><u>.</u>

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

8 0
3 years ago
Blakes goes from averaging 8 hours of sleep for a school night to averaging 6.5 hours of sleep on the weekend. What is the perce
beks73 [17]

Answer:

Step-by-step explanation:

So Blakes sleep 8 hours per night during the school day

8 hours/night...................................100%

6.5 hours/night...................................?

6.5*100/8=81.25

the change in percentage is 100-81.25=18.75%

the percentage change is 18.75

if it is easier for you, another method is:

8-6.5=1.5 subtract the original amount to the new amount

1.5/8=0.1875 divide by the original amount

0.1875*100=18.75 find the percentage

7 0
3 years ago
Which is the graph of x – y = 1?
Jet001 [13]

Answer:

its the second graph

Step-by-step explanation:

you could use this website to find out graph

desmos calculator

5 0
3 years ago
PLEASE HELP DUE TODAY!! GIVING BRAINLIEST, REPORTING BITLY ANSWERS
bulgar [2K]

Answer:

Minimum: 50

Lower Quartile:  59

Median:  66

Upper Quartile: 74

Maximum: 92

Step-by-step explanation:

50, 55, 58, 60, 62, 64, 68, 70, 72, 76, 84, 92

Minimum: 50

Lower Quartile: (58 + 60)/2 = 59

Median: (64 + 68)/2 = 66

Upper Quartile: (72 + 76)/2 = 74

Maximum: 92

5 0
2 years ago
Mai, Eric, and Dean served a total of 103 orders on Monday. Mai served 8 more orders than Eric. Dean served 3 times as many orde
mel-nik [20]
Let the number of orders Eric served be x

Eric = x
Mai =  x+ 8         [Mai served 8 more than Eric]
Dean = 3x           [Dean served 3 times as many as Eric]

Given that the total is 103
x + x + 8 + 3x = 103  
5x + 8 = 103
5x = 103 - 8
5x = 95
x = 19


x = 19
x + 8 = 19 + 8 = 27
3x = 19 x 3 = 57

Eric served 19
Mai served 27
Dean served 57





3 0
3 years ago
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