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Elina [12.6K]
3 years ago
6

2/3 of the product of 3/8 and 16

Mathematics
1 answer:
Sindrei [870]3 years ago
8 0
2/3(3/8x16). 2/3(6). 4. The answer is 4 :)
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A plant is 3 inches tall when you purchase it and grows 2 inches per month. Write an equation in slope intercept form that repre
tresset_1 [31]

Answer:

y = 3 + 2x

Step-by-step explanation:

In this scenario, we are given two values which are the initial height of the plant and its growth height. Then we are given a variable which is the number of months (x) that are unknown for us. The growth height needs to be multiplied by the number of months to know how much it has grown in that time period. Then we add this value to the initial height of the plant to calculate the total height (y) of the plant after x number of months. We can apply this information to form the following equation in slope-intercept form.

y = 3 + 2x

5 0
3 years ago
It takes 1 1/2 cups of flour, 1 1/4 cups of sugar, and 1/2 cup of butter to bake fifteen shortbread cookies. If Ramon has 5 cups
Stolb23 [73]
Short answer 48 cookies
Remark

This is an extremely valuable question if you are going to take chemistry at some point. You have to calculate all three to see what the limiting ingredient is.

Flour
Assuming that all of the flour will be used, you set up a proportion to find out how many cookies will be produced.

1.5 cups of flour / 15 cookies = 5 cups of flour / x     Cross multiply
1.5 x  = 15 * 5
1.5 x = 75                       Divide by 1.5
x = 75/1.5
x = 50                             cookies are possible

Sugar
Now you must do the same thing with the sugar
1.25 pounds sugar/15 cookies = 4 / x      Cross multiply
1.25 x = 4 * 15
1.25 x = 60                         Divide both sides by 1.25
x = 60/1.25                     
x = 48               cookies possible with 4 pounds of sugar.

Butter
0.5 pounds of butter/15 cookies = 1.75 pounds of butter /x   Cross Multiply
0.5 * x = 15 * 1.75
0.5 * x = 26.25       Divide by 0.5
x = 26.25 / 0.5
x = 52.5                  Cookies.

Conclusion
The limiting ingredient is the sugar. You can only make 48 cookies with that amount of sugar. 

So you will have left over flower. You will have left over butter (even if you round down). But you will use all your sugar. It is the least amount.
7 0
3 years ago
What is the factorization of the trinomial below?<br> -x2+ x + 42
Greeley [361]

Answer:

-(x + 6)(x - 7)

Step-by-step explanation:

The expression that we have can also be expressed in the following way:

- (x ^ 2 - x - 42)

Now to factorize we must find two numbers that multiplied by -42 and the sum of these numbers by -1.

these numbers are: -7 and 6

-7 * 6 = -42

-7 + 6 = -1

Thus:

- (x + 6) (x - 7)

8 0
3 years ago
Write the equation of a line in slope-intercept form that passes through the given points.
ruslelena [56]

Answer:

<h2>         y = 0.25x + 2</h2>

Step-by-step explanation:

\bold{slope\, (m)=\dfrac{change\ in\ Y}{change\ in\ X}=\dfrac{y_2-y_1}{x_2-x_1}}

(0, 2)    ⇒     x₁ = 0,  y₁ = 2

(-4, 1)     ⇒     x₂ = -4,  y₂ = 1

So the slope:

\bold{m=\dfrac{1-2}{-4-0}=\dfrac{-1}{-4}=0.25}

The point-slope form of the equation of the line passing through point (x₀,y₀) and with slope m is:  y - y₀ = m(x - x₀)

m = 0.25

(0, 2)    ⇒     x₀ = 0,  y₀ = 2

Therefore:

               y - 2 = 0.25(x - 0)

               y - 2 = 0.25x                  {add 2 to both sides}

               y = 0.5x + 2          ←  the slope-intercept form of the equation

5 0
3 years ago
Suppose you mark n points on a circle, where n is a whole number greater than 1. The number of segments you can draw that connec
leonid [27]
The expression for the number of segments drawn out of the n number of points in the circle is,
                                n² / 2 - n / 2
Substituting directly to the expression the number of points, n, which is equal to 8,
                                8² / 2  - 8 / 2 = 28
Thus, there are 28 segments that can be drawn from the points. 
5 0
2 years ago
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