Please do not skip it’s 9th grade math Please help me! thank you in advance:)

Martin decided to buy 2 bags of grapes weighing 5 and two-thirds pounds each, instead of the 3 bags weighing 4 and one-fifth pou

Juli2301 [7.4K]

Answer: He ended up with about 1 pound less grapes

Step-by-step explanation:

2 bags of grapes weighing 5 and two-thirds pounds each will give a total weight of:

= 2 × 5 2/3

= 2 × 17/3

= 34/3

= 11 1/3 pounds

3 bags weighing 4 and one-fifth pounds each, will give a weight of:

= 3 × 4 1/5

= 3 × 21/5

= 63/5

= 12 3/5

He ended up buying lesser grapes. This was about 12 3/5 - 11 1/3 = 1 4/15 less. This means that he ended up with about 1 pound less grapes

3 0

3 years ago

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1. Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the

Sveta_85 [38]

Answer:

#1) y = -4x + 1; #2) parallel; #3) y = -1/2x + 5/2; #4) y = 2x + 4; #5) Never

Step-by-step explanation:

#1) We want a line that passes through (1, -3) and is parallel to y = 2-4(x-1). First we simplify our equation using the distributive property:

y = 2-4(x-1) = 2-4(x) -4(-1) = 2-4x--4 = 2-4x + 4 = -4x + 6

Lines that are parallel have the same slope; this means we want a line through (1, -3) with a slope of -4. Using point-slope form,

$y-y_1=m(x-x_1)\\\\y--3=-4(x-1)\\\\y+3=-4(x)-4(-1)\\\\y+3=-4x+4\\\\y+3-3=-4x+4-3\\\\y=-4x+1$

#2) We must first write our second equation in slope-intercept form by isolating the y term:

2x+y=7

Subtract 2x from each side"

2x+y-2x = 7-2x

y = -2x+7

This means the slope is -2; the slopes are the same, so the lines are parallel.

#3) The slope of our given equation is 2. To be perpendicular, the second line must have a slope that is a negative reciprocal (flipped and opposite signs); this makes it -1/2. Using point-slope form,

$y-0=\frac{-1}{2}(x-5)\\\\y=\frac{-1}{2}(x)+\frac{-1}{2}(-5)\\\\y=\frac{-1}{2}x+\frac{5}{2}$

#4) The slope of Main Street on the diagram, found by using rise/run, is 2. This means the bike path will also have a slope of 2 in order to be parallel. The park entrance is at (0, 4). This makes the equation y = 2x+4.

#5) Two lines with the same slope are always parallel. They are never perpendicular.

3 0

3 years ago

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An amount of $4000 was deposted in a bank of 7% compounded quarterly for 2 years. The rate the increased to 10% and was compound

GarryVolchara [31]

Answer:

$5599.20

Step-by-step explanation:

The quarterly interest rate for the first two years was ...

7%/4 = 0.0175

So, the multiplier each quarter for those 8 quarters was 1+0.0175 = 1.0175. At the end of the first 8 quarters, the account value had been multiplied by ...

1.0175^8

For the next 8 quarters, the quarterly interest rate was 10%/4 = 0.025. So at the end of those 8 quarters, the balance had been multiplied by ...

1.025^8

Then the balance at the end of 4 years was ...

$4000(1.0175^8)(1.025^8) ≈ $5599.20

The balance was $5599.20.

6 0

3 years ago

What is the length of AB when A is (-7,-6) and B is (1,0)

NemiM [27]

Answer:

The answer is

<h2>10 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{( {x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A (-7,-6) and B (1,0)

The distance between them is

$|AB| = \sqrt{( { - 7 - 1})^{2} + ({ - 6 - 0})^{2} } \\ = \sqrt{ ({ - 8})^{2} + ({ - 6})^{2} } \\ = \sqrt{64 + 36} \\ = \sqrt{100} \: \: \: \: \: \: \: \:$

We have the final answer as

<h3>10 units</h3>

Hope this helps you

5 0

3 years ago

sasha drove from her house to the grocery store in 20 minutes. her return trip took 15 minutes. if the store is 7 miles from her

otez555 [7]

<span>Sasha drove from her house to the grocery store in 20 minutes.
Her return trip took 15 minutes. IF the store is 7 miles from here house.
Find Sasha’s average speed for her round trip in miles per hour.
=> 20 minutes + 15 minutes = 35 minutes
=> 35 minutes is the time of her travel.
=> 7 miles is the distance.
We need to solve for the average speed.
Formula = Speed = distance / time
=> 7 / 35
=> 0.2
thus, her speed is 0.2 miles per minute (.2miles/min)

</span>

3 0

3 years ago