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My name is Ann [436]
3 years ago
12

Harrison ordered 6 cases of pickles for his restaurants. Each case contained p jars of pickles. Harrison delivered an equal numb

er of jars to each of his 7 restaurants. Which expression represents the number of jars of pickles that each restaurant received?
Mathematics
2 answers:
cestrela7 [59]3 years ago
7 0
6/7p because 6 cases divided by 7 restuarants
natita [175]3 years ago
5 0
6 cases ordered
'p' jars in each case
Total number of jars is    (6 cases) x (p jars/case)  =  6p jars

Split 7 ways, each restaurant gets (1/7) of the total order = 6p/7 jars.

I sure hope 'p' is a multiple of 7, or else Harrison might
need to deal with the number of pickles in each jar.
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Find the y-intercept of a line parallel to 8x – 2y = 12 and passes through the point (5, 3).
Dmitry_Shevchenko [17]

Answer:

-17

Step-by-step explanation:

8x -2y= 12

<em>Divide</em><em> </em><em>the</em><em> </em><em>whole</em><em> </em><em>equation</em><em> </em><em>by</em><em> </em><em>2</em><em>:</em>

4x -y= 6

<em>Rewrite the equation into the slope-intercept form (y=mx+c, where m is the gradient while c is the y-intercept).</em>

-y= -4x +6

y= 4x -6

Thus, gradient of given line= 4.

Since parallel lines have the same gradient, gradient of line= 4.

y= 4x +c

<em>To find the y-intercept of the lone, substitute a pair of coordinates.</em>

When x=5, y=3,

3= 4(5) +c

3= 20 +c

c= 3 -20

c= -17

Thus, the y-intercept of the line is -17.

7 0
2 years ago
2x+5=11 two step equations<br>​
Sati [7]

Answer:

x=3

Explanation: 11-5=6

6/2= 3

Plug 3 into the equation and you get 2x3+5=11 which 2x3=6 and 6+5=11

4 0
2 years ago
Solve the inequality: -7y - 3x &lt; 21
SashulF [63]

Answer:

x>  -7/3y -7

Step-by-step explanation: -7y-3x<21

Step 1: Add 7y to both sides.

−3x−7y+7y<21+7y

−3x<7y+21

Step 2: Divide both sides by -3.

-3x/-3 < 7y+21/-3

x>-7/3y -7

7 0
2 years ago
In parallelogram DEFG, DH = x + 5, HF = 2y, GH = 4x-3 and HE = 4y + 1. Find the values of x and y. The diagram is not drawn to s
GalinKa [24]
Rule: The diagonals of any parallelogram bisect each other. In other words, they cut each other in half.

This means DF is cut into two equal pieces: DH and HF.
Similarly, GE is cut into two equal pieces: GH and HE.

DH = HF
x+5 = 2y
x = 2y-5

GH = HE
4x-3 = 4y+1
4(x)-3 = 4y+1
4(2y-5)-3 = 4y+1 ... x has been replaced with 2y-5
8y-20-3 = 4y+1
8y-23 = 4y+1
8y-4y = 1+23
4y = 24
y = 6

If y = 6, then x is
x = 2y-5
x = 2(6)-5
x = 12-5
x = 7

--------------------------------------------

Answers: 
x = 7 and y = 6

5 0
3 years ago
Evaluate 7m + 3mn when m=8 and n=14
Murrr4er [49]

Answer:

392

Step-by-step explanation:

7(8) + 3(8)(14)

56 + 336

=392

*Brackets mean to multiply.

3 0
2 years ago
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