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erastova [34]
3 years ago
9

Hallie bikes 1 5/8 km before lunch 6 1/4 km How much farther does hallies bike after lunch than before lunch? Express your answe

r as a mixed number in simplest form. Enter your answer in the box.
Mathematics
1 answer:
kodGreya [7K]3 years ago
8 0

Distance covered by Hallie before lunch= 1 5/8 km.

Converting it into imperoper fractions we get (1*8+5)/8= 13/8 km.

Distance covered by Hallie after lunch = 6 1/4 km.

Converting it into imperoper fractions we get (6*4+1)/4 = 25/4 km.

Difference between distances = Distance covered after lunch - Distance covered before lunch.

=25/4 km - 13/8 km

Subtracting fractions by taking common denominator, we get

25/4 - 13/8  = 50/8 - 13/8 = 37/8

Let us convert 37/8 into mixed fraction now.

On dividing 37 by 8, we get quotient 4, and 5 remainder.

So, 37/8 = 4 5/8.

Therefore, Hallie bikes 4 5/8 km farther after lunch than before lunch.


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3 years ago
Write the equation of the line that passes through (3, 4) and (2, −1) in slope-intercept form. (2 points) a y = 3x − 7 b y = 3x
sashaice [31]

Answer: y = 5x − 11

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

The line passes through (3,4) and (2, -1),

y2 = - 1

y1 = 4

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Slope,m = (- 1 - 4)/(2 - 3) = - 5/- 1 = 5

To determine the y intercept, we would substitute x = 3, y = 4 and m= 5 into

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8 0
3 years ago
For every 24meals Momoka prepared for customers last night, she prepared 2 meals for employees. Momoka prepared 156 meals.
Olenka [21]

Answer:

144 meals for customers and 12 meals for employees.

Step-by-step explanation:

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156-144=12

It adds up to be simple numbers, if it didn't it would make sense. For example, she wouldn't serve 6 and a <u>half</u> people. She would serve either 6 people or 7 people. She wouldn't serve 11.3973043 meals. She would serve either 11 meals or 12 meals.

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Answer:

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Step-by-step explanation:

Hope this helps!

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If she goes 75 mph for 2 hours, that's 150 miles altogether. 45 mph for 1 hour is 45 miles, so 150 + 45 is 195 miles.

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4 years ago
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