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g100num [7]
1 year ago
9

Each morning a deli worker has to make several pies and a bucket of potatoes. On Monday, it took the worker 2 hours to make the

pies and an average of 1.5 min to peel each potato. On Tuesday, the worker finished the work in the same amount of time, but it took 2.5 hours to make the pies and an average of 1 min to peel each potato.
What quantities do you know and how are they related to each other?
How can you use the known and unknown quantities to write an equation for this situation?
Solve both.
Mathematics
1 answer:
Gala2k [10]1 year ago
6 0

The quantities include hours and minutes.

The the known and unknown quantities can be used to write an equation and this gives 60 minutes.

<h3>How to explain the information?</h3>

It should be noted that there are two different units of time measurement and these are hours and minutes. In this case, once can either convert the hours given to minutes or vice versa.

Therefore,

2 hours = 120 minutes, and

2.5 hours = 150 minutes.

If x represents the number of potatoes in the bucket, then the time to peel all of the potatoes on the first day will be 1.5x.

The quantity added to the 120 minutes spent making pies is the total elapsed time for the first day's work. The first days time is equal to the second day. This will be:

120 + 1.5x = 150 + x

1.5x - x = 150 - 120

0.5x = 30

x = 30/0.5 = 60

The time taken is 60 minutes.

Learn more about quantities on:

brainly.com/question/26044328

#SPJ1

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What’s the equation when the line is (6,5) and slope is 2/3
Vsevolod [243]

Answer:

y=2/3x+1

Step-by-step explanation:

using the slope intercept formula, y=mx+b, where m is the slope, and b is the y intercept. So we get the equation y=2/3x+b, because the slope is given, then you use the given point and substitute it into the equation, 5=2/3(6)+b which you can solve and you will get 5=4+b, b =1, then you add 1 to your original equation to get your answer, y=2/3x+1

4 0
3 years ago
**PLEASE HELP**
zepelin [54]
----------------------------------------------------------
Given information
----------------------------------------------------------
Area = 3x² + 14x + 8 
Length = x + 4

----------------------------------------------------------
Formula
----------------------------------------------------------
Area = Length x Width

----------------------------------------------------------
Find Width
----------------------------------------------------------
3x² + 14x + 8  = (x + 4) x width
width = (3x² + 14x + 8) ÷ (x + 4)
width =  (x+4)(3x+2) ÷ (x + 4)
width = 3x + 2

----------------------------------------------------------
Answer: The width is 3x + 2 (Answer C)
----------------------------------------------------------
5 0
3 years ago
I really need help with this i beg you !!
sweet-ann [11.9K]

Answer:

The perimeter and area of the square are 56 units and 196 square units, respectively.

Step-by-step explanation:

The inner right triangle represents a 45-45-90 right triangle, which has the feature of a hypotenuse whose length is \sqrt{2} time the length of any of its legs. If the hypotenuse has a measure of 7\sqrt{2}, then the legs of the triangle have a measure of 7.

Now, we are aware that the side length of the square is twice the length of the leg of the right triangle. Then, side length of the square is 14 units long.

Lastly, we know from Geometry that the perimeter and area of the square are represented by the following expressions:

Perimeter

p = 4\cdot l (1)

Area

A = l^{2} (2)

Where l is the side length of the square.

If we know that l = 14, then the perimeter and area of the square are, respectively:

p = 4\cdot (14)

p = 56

A = 14^{2}

A = 196

The perimeter and area of the square are 56 units and 196 square units, respectively.

7 0
3 years ago
a builder buys 24.5 acres of land to develop a new community of homes and parks the builder plans to use 0.25 of the land and pa
Elena-2011 [213]
24.5 x 0.25 = 6.125 acres that will be used for the new park.


24.5 x .72 = 17.65 acres in the second property
7 0
3 years ago
Read 2 more answers
How would I find x, I know it's an isosceles triangle but I so not know how to solve for it?????​
Wittaler [7]

Answer:

x=7 (if your teacher cares it could + or - 7)

Step-by-step explanation:

Okay, since it's a 90 degree triangle you can use the Pythagorean theorem

( a^2 + b^2 = c^2)

Since it's an isosceles triangle the other side is x because it's the same value.

x^2 + x^2= (7\sqrt{2} )^2

Add the left side

2x^2= 7^2 + \sqrt{2}^2 roots and square roots cancel each other out

So -> 2x^2= 49 x 2 =98

just solve for x.

x^2 = 98/2

x^2= 49

Square root both sides

x= 7

3 0
3 years ago
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