timmy has 180 marbles, some plain and some colored. if there are 32 plain more marbles than colored, how many colored marbles does he have?

Answers

Answer 1

Answer: 180=x+x+32 180 is equal to x(amount of colored marbles) plus x+32 (amount of plain marbles)
180=2x+32
-32+180=2x
148/2=x
74=x

74 colored marbles and 106 plain

Answer 2

Answer: 74 (180 - 32) / 2 because if there are 32 more than the other part, it is n + (n+32)

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14.42 Round to the nearest tenth.
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The price of an item yesterday was 110. Today the price fell to 33 find the percentage decrease

Answers

The amount of the decrease is (110 - 33) = 77

The decrease as a fraction of the original amount is ( 77 / 110 ) .

As a decimal, 77/110 = 0.7 .

To change a decimal to a percent, move
the decimal point two places that way ==> .

0.7 ==> 70% .

110-100%
33-x
X=30
100-30=70% is the answer

Find the circumference of the circle. Round your answer to the nearest hundredthin the center of the circle is 4.5 ft.
a 14.14
b 15.90
c 16.82
d 17.43

Answers

Answer:

a. 14.14 ft²

Step-by-step explanation:

The measurement given refers to the diameter of the circle. The formula for the circumference and area uses the radius of a circle, therefore it is always safer to use radius instead of diameter

The radius is half of the diameter, which is 2.25 ft.

$A=2*r*\pi \nA=2*2.25*\pi \nA=14.14ft^(2)$

2* π *radius

or

π*diameter

There are 15 black mice in a cage. The ratio of all mice to black mice is 5:1. How many mice are in a cage?

Answers

15x5=75 mice in a cage

The angle of elevation from L to K measures 55°. If JK = 26, find JL. Round your answer to the nearest tenth.A. 37.1
B. 21.3
C. 14.9
D. 26.8

Answers

the angle of elevation is the degree at which you need to look up, therefore the angle between the dotted line, let's call it LM, and line LK is 5 degrees

Angle JLK and Angle KLM are also complimentary angles, meaning that they both add up to 90 degrees, therefore angle JLK = 90-55=35degrees

Now, SOHCAHTOA comes in handy to find JL. Since we know JLK and JK, this is going to be a breeze.
Since the sides we are using are opposite and adjacent to JLK, we are going to use tan.
So: tan = o/a
however, as we don't know a, we need to rearrange the equation so a is on its own
tan=o/a (times both sides by a)
tan a = o (divide both sides by tan)
a = 0/tan

Now we can solve the equation with the information given
a = 26/tan35
a = 26/0.7
a=37.13184818
=> 37.1

So, you can put down A as your answer :D

Answer:

37.1

Step-by-step explanation:

A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $60,239
. The variable costs will be
$10.50
per book. The publisher will sell the finished product to bookstores at a price of
$25.25
per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

Answers

so the total=60239
so 10.5 per book
but -25.25 per book (since this is a negative cost or a gain)
so lets say they sell 1 book
it cost 10.5 and they gain 25.25 so they gain 14.75 total per book

so 14.75 times x books=60239
divide both sdies by 14.75
x=60239/14.75
then divide 60239 by 14.75 and get x=4084
they will need to sell 4084 books

assume the number of books X

the cost of the books = 60.239 + (10.50 X)
the sale amount = 25.25 * X

so 60.239 + 10.5 X = 25.25 X
60.239 = (25.25 - 10.5)X
60.239 = 14.75 X
X = 60.239 / 14.75

So X = 4.084
so the publisher needs to sell 4 books

Steve's lawn is 60 feet long and 40 feet wide.He would like to reduce its size to one half
its original area. If he reduces the width to
30 feet, what should the new length be?

Answers

Answer:

40 feet

Step-by-step explanation:

60x40=2400

2400/2=1200

1200/30=40

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