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makkiz [27]
2 years ago
14

The number of cups of sugar (y) in a cookie recipe is proportional to the number of cups of flour (x). The recipe calls for 1.25

cups of sugar for each cup of flour. Which equation could represent the cups of sugar required for a batch of cookies?
Mathematics
2 answers:
alexandr402 [8]2 years ago
7 0

Answer:

y= 1.25x

Step-by-step explanation:

The statement indicates that the recipe calls for 1.25 cups of sugar for each cup of flour. This means that to be able to determine the cups of sugar (y) required, we will have to multiply the number of cups of flour (x) for 1.25 that represents the cups of sugar needed for each cup of flour. So, according to that, the equation would be:

y= 1.25x

8090 [49]2 years ago
6 0

Answer:

Step-by-step explanation:

Y/X = 1.25/1 so place the amount of flour required in the denominator and multiply the denominator amount by 1.25 to find the amount of sugar

This problem appears to be missing equation choices.

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A bucket that has a mass of 30 kg when filled with sand needs to be lifted to the top of a 30 meter tall building. You have a ro
Rom4ik [11]

Answer:

765 J

Step-by-step explanation:

We are given;

Mass of bucket = 30 kg

Mass of rope = 0.3 kg/m

height of building= 30 meter

Now,

work done lifting the bucket (sand and rope) to the building = work done in lifting the rope + work done in lifting the sand

Or W = W1 + W2

Work done in lifting the rope is given as,

W1 = Force x displacement

W1 = (30,0)∫(0.2x .dx)

Integrating, we have;

W1 = [0.2x²/2] at boundary of 30 and 0

W1 = 0.1(30²)

W1 = 90 J

work done in lifting the sand is given as;

W2 = (30,0)∫(F .dx)

F = mx + c

Where, c = 30 - 15 = 15

m = (30 - 15)/(30 - 0)

m = 15/30 = 0.5

So,

F = 0.5x + 15

Thus,

W2 = (30,0)∫(0.5x + 15 .dx)

Integrating, we have;

W2 = (0.5x²/2) + 15x at boundary of 30 and 0

So,

W2 = (0.5 × 30²)/2) + 15(30)

W2 = 225 + 450

W2 = 675 J

Therefore,

work done lifting the bucket (sand and rope) to the top of the building,

W = 90 + 675

W = 765 J

5 0
2 years ago
Here is the histogram of a data distribution. All class widths are 1. What is the median of this distribution?
Bingel [31]

Answer:

The median is 4.

Step-by-step explanation

if you layout all the number, you get

1,2,2,3,3,3,4,5,5,5,6,6,7

So, to find the median you find the number(s) right in the middle.

(Ex. 3,4,5; 4 is the median)

(Ex. 3,4,5,7; 4.5 is the answer)

The middle number of

1,2,2,3,3,3,4,5,5,5,6,6,7

is 4, so 4 is the median.

hope this helps. :)

6 0
2 years ago
a previous analysis of paper boxes showed that the standard deviation of their lengths is 15 millimeters. A packers wishes to fi
vladimir1956 [14]

Answer:

864.36 boxes

Step-by-step explanation:

In the question above, we are given the following values,

Confidence interval 95%

Since we know the confidence interval, we can find the score.

Z score = 1.96

σ , Standards deviation = 15mm

Margin of error = 1 mm

The formula to use to solve the above question is given as:

No of boxes =[ (z score × standard deviation)/ margin of error]²

No of boxes = [(1.96 × 15)/1]²

= 864.36 boxes

Based on the options above, we can round it up to 97 boxes.

8 0
2 years ago
Mia is 7.01568 x 10^6 minutes old. Convert her age to more appropriate units using years, months, and days. Assume every other m
pshichka [43]

Answer:

There are 13 years 6 months and 12 days.

Step-by-step explanation:

Let's convert the scientific notation to standard form of minutes

7.01568x10^6 =7015680 minutes

Now, let's convert this to number of days because each day has 24*60=1440 minutes.

So, number of days in 7015680 minutes is \frac{7015680}{1440}=4872 days

Now, change this 4872 days to years, months and days.

We know 1 year has 12 months and one month has 30 days.

So,

Number of years =\frac{4872} {12*30}=13.53333333 years

Now, convert 0.53333333 years to months.

0.53333333*12=6.4 months.

Now, convert 0.4 months to days.

0.4* 30 =12 days.

So, there are 13 years 6 months and 12 days.

8 0
2 years ago
Each beehives on Larson’s honey farm usually produces 85lbs of honey per year. About how many pounds of honey will 10,000 hives
schepotkina [342]

If one of Larson's beehives produces 85lbs of honey, you need to multiply it with the given number of hives, which is 10,000.


So: 85 * 10,000 = 850,000lbs

8 0
2 years ago
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