Zippy is 94 millimeters long and popcorn 8.7 centimeters how much longer is zippy in millimeters

Answers

Answer 1
Answer: 8.7 CM would be 87 MM, so you just take that and subtract it from 94.
94-87=7. Zippy is 7MM longer. Hope this helps!
Answer 2
Answer: 8.7 centimeters converted to millimeters is 87 millimeters. 94 - 87 = 7 millimeters.

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A bank loaned out $17,500, part of it at the rate of 10% annual interest, and the rest at 14% annual interest. The total interest earned for both loans was $2,170.00. How much was loaned at each rate?$ ______was loaned at 10% and
$______ was loaned at 14%.

Answers

Answer:

$7 000 was loaned at 10 % and

$10 500 was loaned at 14 %

Step-by-step explanation:

                 Let x = amount loaned at 10 %

Then 17 500 - x = amount loaned at 14 %

                0.10x = interest on 10 % loan

0.14(17 500 - x) = interest on 14 % loan

          2170.00 = total interest

\begin{array}{rcl}0.10x + 0.14(17 500 - x) & = & 2170.00\n0.10x + 2450 - 0.14x & = & 2170.00\n2450 - 0.04x & = & 2170.00\n-0.04x & = & -280\n\nx & = & (-280)/(-0.04)\n\nx & = & \mathbf{7000}\n\n\end{array}

$7000 was loaned at 10 % and

$10 500 was loaned at 14 %

Check:

\\begin{array}{rcl}0.10* 7000 + 0.14(17 500 - 7000) & = & 2170\n700 + 0.14(10 500) & = & 2170\n700 + 1470 & = & 2170\n2170 & = & 2170\n\end{array}

OK.

Question #2 please. Thanks

Answers

find distances
from A to B [(3,2) to (3,7)] is dsistance of 5
from B to C [(3,7) to (8,7)] is distance of 5
it is a square
therefor
from A to B=B to C=C to D=D to A=5

find point D such that from A to D =5 and D to C=5

point is (8,2)

How many gal is in 32 qt?

Answers

There are 8 gallons in 32 quarts becuase 4 quarts = 1 gallon so 32 divided by 4 is 8. Hope this helped! :)

A box of cashews, peanuts, and almonds contains 144 nuts. For every 2 cashews, there are 3 peanuts and 7 almonds. How many more peanuts are there than cashews?

Answers

To solve this problem, first we need to find the number of peanuts, cashews, and almonds in the bag...

Total nuts=144

The ratio of cashews to peanuts to almonds can be shown as:

cashews:peanuts:almonds
2:3:7

Now lets add up the numbers in the ratio.

2+3+7=12

So, for every 12 nuts in the bag, 2 are cashews. For every 12 nuts in the bag, 3 are peanuts. For every 12 nuts in the bag, 7 are almonds. 

Now lets divide the total number of nuts (144) by the sum of the ratio (12).

144/12=12

Now we can solve for the number of every type of nut in the bag... 

Cashews=12*2=24nuts

Peanuts=12*3=36nuts

Almonds=12*7=84nuts

Now we can answer the problem:

Peanuts-cashews=
36-24=12 nuts

Answer: There are 12 more peanuts than cashews.

4x + 3x + 5x= 156

12x= 156

x= 13

4x = 4 times 13= 52 Cashews

3x= 3 times 13= 39 Peanuts

52-32= 13

Find the least common denominator for these two rational expressions a / a^2 - 6a + 9

7 / a^2 - 8a + 15

Answers

factor the 2 denominators:-


a^2 - 6a + 9 = (a - 3)(a - 3)


a^2 - 8a + 15 = (a - 3)(a - 5)


((a - 3) is common to both sets of factors so the LCD is:-


(a - 3)(a - 3)(a - 5) or this can be written as (a -3)^2(a - 5)




In the figure, the measure of angle 7 is 57°. What is the measure of angle 8?

Answers

Answer: The measure of angle 8 is  123° .

Step-by-step explanation:

Since we have given that

m∠7 = 57°

we have two lines intersecting each other at one point forming angles ∠7, ∠8, ∠5, ∠6.

So, Relation between ∠7 and ∠8 is linear pair.

And we know that ,

\angle 7+\angle 8=180\textdegree\n\n57\textdegree+\angle 8=180\textdegree\n\n\angle 8=180\textdegree-57\textdegree\n\n\angle 8=123\textdegree

Hence, the measure of angle 8 is  123° .

Angle (6) + Angle (7) = 180

Angle (6) + 57 = 180

Angle (6) = 180 - 57

Angle (6) = 123

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

Angle (6) = Angle (8)

-----------

Therefore:

Angle (8) = 123 degrees