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Charra [1.4K]
2 years ago
7

Sjon mixed 3 3/8 cups of red grapes with 4 1/2 cups of green grapes. He then divided the grapes into bags with 1/2 cup of mixed

grapes in each. How many bags of grapes will Sjon have?
Mathematics
1 answer:
Reptile [31]2 years ago
6 0

Answer:3 3/8 + 4 1/2 =

get a common denominator

3 3/8 + 4 4/8 = 7 7/8

7 7/8 divided by 1/2

change the mixed number to an improper fraction

(8*7+7)/8 = 63/8

63/8 divided by 1/2

copy dot flip

63/8 * 2/1

63/4 =

15 3/4 bags of grapes

Step-by-step explanation: Hope this helps

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Which of the following is a function?
AlladinOne [14]

Answer:

(5,-4) (-4,5) (-5,4) (4,-5)

Step-by-step explanation:

What makes it a function is the fact that the X does not repeat

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2 years ago
A pair of perpendicular lines intersect at the point (5,9). Write
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Answer:

The equation of the line that is perpendicular to the line that passes through the point (-4, 2) is y = -9·x/5 + 18

Step-by-step explanation:

The coordinates of the point of intersection of the two lines = (5, 9)

The coordinates of a point on one of the two lines, line 1 = (-4, 4)

The slope of a line perpendicular to another line with slope, m = -1/m

Therefore, we have;

The slope, m₁, of the line 1 with the known point = (9 - 4)/(5 - (-4)) = 5/9

Therefore, the slope, m₂, of the line 2 perpendicular to the line that passes through the point (-4, 4) = -9/5

The equation of the line 2 is given as follows;

y - 9 = -9/5×(x - 5)

y - 9 = -9·x/5 + 9

y =  -9·x/5 + 9 + 9

y = -9·x/5 + 18

Therefore, the equation of the line that is perpendicular to the line that passes through the point (-4, 2) is y = -9·x/5 + 18.

6 0
2 years ago
the length of the longer leg of a right triangle is 3 ft more than three times the length of the shorter leg. the length of the
Ulleksa [173]

with the pythagorean theorem

\begin{gathered} (4+3x)^2=x^2+(3+3x)^2 \\ 16+24x+9x^2=x^2+9+18x+9x^2 \\ 16+24x+9x^2=10x^2+18x+9 \\ 16+24x+9x^2-9=10x^2+18x+9-9 \\ 9x^2+24x+7=10x^2+18x \\ 9x^2+24x+7-18x=10x^2+18x-18x \\ 9x^2+6x+7=10x^2 \\ 9x^2+6x+7-10x^2=10x^2-10x^2 \\ -x^2+6x+7=0 \end{gathered}

using the formula of the quadratic equation

\begin{gathered} x_{1,\: 2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ x1=\frac{-6+\sqrt{6^2-4\left(-1\right)\cdot\:7}}{2\left(-1\right)}=-1 \\ x2=\frac{-6-\sqrt{6^2-4\left(-1\right)\cdot\:7}}{2\left(-1\right)}=7 \end{gathered}

the length cannot be negative, therefore x=7

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5 0
1 year ago
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rodikova [14]

Answer:

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How Many Lawns Did He mow?

Let N = number of lawns he mowed

N = Total amount earned / Amount earned per every lawn he mowed

N = 400 / 10

N = 40 lawns

5 0
2 years ago
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