MATHEMATICS MIDDLE SCHOOL

You have 3/5 cup of oatmeal in your cupboard. A recipe for cookies calls for 1/4 cup of oatmeal . How much oatmeal would you have left if you made the cookies ??

Answers

Answer 1

Answer:

Answer:

The recipe calls for 4/3 cups of oatmeal and 9/2 cups of flour.

If we convert them to a common denominator, we have 8/6 cups of oatmeal and 27/6 cups of flour, so, the ratio is 8:27.

If you use 6 cups of oatmeal and 9 cups of flour, the ratio will become 2:3 and will no longer be proportional

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Evaluate the expression, using the given value of the variable. 2 – 8x + 3x when x = 5 A. –53 B. –23 C. –15 D. 57

Answers

$2- 8x + 3x =2-5x \n \nx=5 \n \n2-5x = 2-5\cdot 5=2-25=-23\n \nAnswer : \ B. \ \ \ -23$

2 - 8x + 3x
x = 5
2 - 8(5) + 3(5) =
2 - 40 + 15 =
- 40 + 17 = - 23. (Correct answer B.)

Ben drinks tea at an incredible rate. He drinks 3\dfrac123 2
1
liters of tea every \dfrac23
3
2
of an hour. Ben drinks tea at a constant rate.
How many liters of tea does he drink in one hour?

Answers

Answer:

$5(1)/(4)$ liters of tea does he drink in one hour.

Step-by-step explanation:

Unit rate defined as the rate are expressed as a quantity 1 such as 2 miles per hour or 4 meter per second.

As per the statement:

Ben drink $3(1)/(2) = (7)/(2)$ liters of tea every $(2)/(3)$ of an hour.

We have to find the liters of tea does he drink in one hour.

$\text{Unit rate per hour} = ((7)/(2) )/((2)/(3)) = (7)/(2) * (3)/(2) =(21)/(4) = 5(1)/(4)$ liters

Therefore, $5(1)/(4)$ liters of tea does he drink in one hour.

31/6 as a mixed number

Answers

5 1/6 divide 6 into 30 to get 5 and then you have one left over.

Divide 31 by 6
You should get
5 remAinder 1

Because 5X3 is 30 and 1 is 31

A bag of peanuts weighs 1/4 pound. How much do 1 1/2 weigh?please put exactly how you solved this please and ty! <3

Answers

Answer:

I think it would weigh 1 1/8, love

Step-by-step explanation:

I'm not good at explaining but I'll try.

One bag weighs 1/4 pound meaning that half a bag would weigh 1/8 pound

Hope I helped sweetheart

48% as a fraction in simplest form

Answers

Answer: The fraction 48/100 is equal to 48 percent.

The main definition of percent actually means ''per hundred. Therefore when you have 48%, it is the same as 48 out of 100 or 48/100.

Hope this helps! :)

Which is the equation of a line that has a slope of 1/2 and passes through point (2, -3)?

Answers

The equation of a line that has a slope of 1/2 and passes through point (2, -3) is 2y - x = -8

The standard equation of a line in slope-intercept form is expressed as:

y = mx + b where:

m is the slope
(x0, y0) is the point on the line

Given the following:

Slope = 1/2

(x0, y0) = (2, -3)

Substitute the given parameters into the formula above:

$y - (-3) = 1/2(x-2)\ny + 3 = 1/2(x-2)\n2(y +3) = x - 2\n2y + 6 = x - 2\n2y -x = -2-6\n2y - x = -8\n$

Hene the equation of a line that has a slope of 1/2 and passes through point (2, -3) is 2y - x = -8

Learn more here: brainly.com/question/21536974

So for this, I will be making the equation using the slope-intercept form, which is y=mx+b (m = slope, b = y-intercept).

Since we have the slope, 1/2, we can just plug in (2,-3) into the equation and solve for b as such:

$-3=(1)/(2)*2+b\n -3=1+b\n -4=b$

Putting everything together, our equation is y = 1/2x - 4.

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