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laila [671]
3 years ago
15

What is the straight distance between point h and j on the grid below

Mathematics
1 answer:
vesna_86 [32]3 years ago
3 0

Answer:

Step-by-step explanation:

8

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Mikes movie Rentals Charge $3.00 for each rental plus $0.50 for each additional day. Reed's Rentals Charge $1.50 each rental plu
iris [78.8K]

Answer:

2

Step-by-step explanation:

What we need here is to express both charges trough equations, and then find out for which value these equations are equal.

Let X be the amount of additional days of rent.

So, Mikes Movie Rentals cost equations is:

CostMike = 3 + 0.5X

This implies that if there is no additional day (X=0), the cost is $3, if there is one additional day the cost is $3.5, for 2 days $4, and so on ...

Now lets find Reed's Rental cost.:

CostReed = 1.5 + 1.25X

And the interpretation is analogous to the one above. If there is no additional day, Reed's charge is $1.5, for 1 days $2.75, for 2 days $4

(Notice that with the examples I made about interpreting the equations I found out that for 2 days the cost of both is the same. Now lets find it analytically)

For finding the additional days that give the same costs we need to equal both equations:

3 + 0.5 X = 1.5 + 1.25 X

Lets subtract 1.5 from both sides:

3 - 1.5 + 0.5 X = 1.5 - 1.5 + 1.25 X

1.5 + 0.5 X = 1.25 X

Now subtract 0.5 X in both sides:

1.5 + 0.5 X - 0.5 X = 1.25 X - 0.5 X

1.5 = 0.75 X

Dividing both sides by 0.75:

1.5 / 0.75 = 0.75 X / 0.75

2 = X

So, for 2 additional days bith charges are equal.  

6 0
3 years ago
You are planning a trip to Japan in the fall. You estimate that for two weeks, you will need $5,263 (This includes airfare, room
Gemiola [76]
The income that you can save from each biweekly paycheck is
.. $1626 -6.2%*1626 -1.45%*1626 -85 -225 -775 = $416.61

After 14 pay periods, you will have saved
.. 14*$416.61 = $5832.54

This is more than your estimated trip requirement.

c. $5833; yes
4 0
3 years ago
The number of gift baskets Nikki can make varies directly with the amount of time she spends making the baskets . She can make 1
scoundrel [369]

Answer:

40

Step-by-step explanation:

The number of gift baskets Nikki can make varies directly with the amount of time she spends making the baskets .

Let n be the number of baskets and let t be the mount of time it takes to make the basket. This means that:

n α t

=> n = kt

where k = constant of proportionality

She can make 4 baskets in every 1/2 hour.

This means that:

4 = k * 1/2

=> k = 4 * 2 = 8 baskets per hour

The time is now 5 hours (t = 5). Therefore:

n = 8 * 5 = 40 baskets

She can make 40 baskets in 5 hours.

8 0
3 years ago
#2 - find the value of X. Write answer in simplest form.
Alekssandra [29.7K]
2 times the square root of 5 . that’s what i got .
5 0
3 years ago
Find the amount that results from the given investments. $200 invested at 9% compounded after a period of 4 years
Yanka [14]

Answer:

The amount of invested money after a period of 4 years:

A = 200 x (1 + 9/100)^4 = 282.32 dollar

Hope this helps!

:)

8 0
3 years ago
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