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cricket20 [7]
2 years ago
15

Anna makes a pot of vegetable bean soup. She is using 1/4 cup measuring cup. How many times will Anna need to fill the measuring

cup to measure 7/8 cup of turnips
Mathematics
1 answer:
docker41 [41]2 years ago
6 0

Answer:

3 1/2

Step-by-step explanation:

1/4=2/8

7/8 divided by 2/8= 3 1/2

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Milton spilled some ink on his homework paper. He can't read the coefficient of $x$, but he knows that the equation has two dist
Lera25 [3.4K]

Answer:

Sum = -81

Step-by-step explanation:

See the comment for complete question.

Given

c = 36 ----- Constant

No coefficient of x^2

Required:

Determine the sum of all distinct positive integers of the coefficient of x

Reading through the complete question, we can see that the question has 3 terms which are:

x^2 ---- with no coefficient

x ---- with an unknown coefficient

36 ---- constant

So, the equation can be represented as:

x^2 + ax + 36 = 0

Where a is the unknown coefficient

From the question, we understand that the equation has two negative integer solution. This can be represented as:

x = -\alpha and x = -\beta

Using the above roots, the equation can be represented as:

(x + \alpha)(x + \beta) = 0

Open brackets

x^2 + (\alpha + \beta)x + \alpha \beta = 0

To compare the above equation to x^2 + ax + 36 = 0, we have:

a = \alpha + \beta

\alpha \beta = 36

Where: \alpha, \beta and \alpha \ne \beta

The values of \alpha and \beta that satisfy \alpha \beta = 36 are:

\alpha = -1 and \beta = -36

\alpha = -2 and \beta = -18

\alpha = -3 and \beta = -12

\alpha = -4 and \beta = -9

So, the possible values of a are:

a = \alpha + \beta

When \alpha = -1 and \beta = -36

a = -1 - 36 = -37

When \alpha = -2 and \beta = -18

a = -2 - 18 = -20

When \alpha = -3 and \beta = -12

a = -3 - 12 = -15

When \alpha = -4 and \beta = -9

a = -4 - 9 = -13

At this point, we have established that the possible values of a are: -37, -20, -15 and -9.

The required sum is:

Sum = -37 -20 -15 - 9

Sum = -81

7 0
2 years ago
You are typing a paper. At 4:04pm you have typed 275 words. By 4:18pm you have 765 words. Find the rate of change in words per m
alekssr [168]
You start at 4:04pm and end at 4:18pm. This means 14 minutes have passed

Now you had 275 word typed and now you have 765. To find the amount that were added simply subtract 765 by 275 and you'll get 490.

Finally, to find the average amount of words typed per minute, you'd divide 490 by 14 for each minute which is 35

Your answer is 35 words per minute
3 0
2 years ago
A turtle walks 7/8 of a mile in 50 minutes. What is the unit rate when the turtle’s speed is expressed in miles per hour?
yKpoI14uk [10]

Answer:

21/20

Step-by-step explanation:

a) One hour is equivalent to 60 minutes.

So we can multiply 50 minutes by the fraction \frac{1 hour}{60 minutes}, so we could convert 50 minutes to hours.

It is:

50 minutes * \frac{1 hour}{60 minutes}=\frac{50}{60}hours

If we simplify the fraction, we have:

50 minutes = \frac{5}{6}hours

b) In order to express the turtle's speed in miles per hour, we have to divide

\frac{7}{8}miles by  \frac{5}{6}hours

So:

\frac{\frac{7}{8}miles }{\frac{5}{6}hours }

We simplify the expression by multiplying 7 mile by 6 and 8 by 5 hours:

\frac{\frac{7}{8}miles }{\frac{5}{6}hours}=\frac{42 miles}{40 hours} =\frac{21 miles}{20 hours}

4 0
2 years ago
Read 2 more answers
This figure shows the nose cone of a rocket used for launching satellites. The nose cone houses the satellite until the satellit
Elena-2011 [213]

see the attached figure to better understand the problem

we know that

The volume of the cone is equal to

V=\frac{1}{3} \pi r^{2} h

in this problem

r=\frac{6}{2} =3\ ft\\ \\ h=15\ ft

Substitute the values in the formula above

V=\frac{1}{3}* \pi* 3^{2}* 15\\ \\ V=45\pi \ ft^{3}

therefore

the answer is

The volume of the nose cone is 45\pi \ ft^{3}

7 0
1 year ago
Read 3 more answers
The total square footage of wall space to be painted is 575 square ft. If a gallon of paint covers 250 square feet, how many qua
mars1129 [50]

5.75 quarts of paint required for the project

Explanation:

Usually one quart of paint cover 100 square feet

Since, a gallon covers 250 square feet, it means that

 one gallon of paint is equal to \frac{250}{100} =2.5 quarts of paint.

Number of gallon required to paint 575 square feet,

                                                                                        =\frac{575}{250} \\=2.3 gallons

So, 2.3 gallons is equal to,

                                                =2.3*2.5\\=5.75 quarts

Learn more:

brainly.com/question/18882920

5 0
1 year ago
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