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3 years ago

Danielle will use the instructions in the box below to make a cleaning solution I

Mathematics

1 answer:

matrenka [14]3 years ago

4 0

13 cups of water -- 2 cups of concentrated cleaner (the ratio is $\dfrac{13}{2}$ )

w cups of water -- 5 cups of concentrated cleaner (the ratio is $\dfrac{w}{5}$ )

Write a proporion:

$\dfrac{13}{2}=\dfrac{w}{5}.$

Answer: option A

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A square picture with side length 30 cm is scaled by 60% on a photocopier the copy is then scaled by 60% again. What is the side

Sonja [21]

Answer:

10.8 cm

Step-by-step explanation:

we know that

1) A square picture with side length 30 cm is scaled by 60% on a photocopier

Remember that

$60\%=60/100=0.60$

The length of the first copy of the picture is

$30(0.60)=18\ cm$

2) The copy is then scaled by 60% again

The length of the second copy of the picture is

$18(0.60)=10.8\ cm$

4 0

3 years ago

Mr. Litterski creates a ball from rubber bands.

kupik [55]

Answer:

The surface area of the ball is of 29 square inches.

The volume of the ball is of 15 cubic inches.

Step-by-step explanation:

The ball has an spherical format:

Circumference of a sphere:

The circumference of a sphere is 6.2832 times the radius.

Surface area

$A = 4\pi r$

In which r is the radius.

Volume:

$V = \frac{4\pi r^3}{3}$

The circumference of the ball is 9.4 inches.

So the radius is:

$6.2832r = 9.4$

$r = \frac{9.4}{6.2832} = 1.53$

Surface area

$A = 4\pi(1.53)^2 = 29.3$

Rounding to the nearest unit, the surface area of the ball is of 29 square inches.

Volume:

$V = \frac{4\pi (1.53)^3}{3} = 14.9$

Rounding to the nearest unit, the volume of the ball is of 15 cubic inches.

8 0

3 years ago

Mrs morals wrote a test with 15 questions covering spelling and vocabulary. Spelling questions (x) are worth 5 points and vocabu

erastova [34]

Answer:

Step-by-step explanation:

Let x represent the number of spelling questions in the test.

Let y represent the number of vocabulary questions in the test.

Mrs morals wrote a test with 15 questions covering spelling and vocabulary. This means that

x + y = 15

Spelling questions (x) are worth 5 points and vocabulary questions (y) are worth 10 points. The maximum number of points possible on the test is 100. This means that

5x + 10y = 100 - - - - - - - - - - - 1

Substituting x = 15 - y into equation 1, it becomes

5(15 - y) + 10y = 100

75 - 5y + 10y = 100

- 5y + 10y = 100 - 75

5y = 25

y = 25/5 = 5

x = 15 - y = 15 - 5 = 10

4 0

4 years ago

ANSWER PLZ 99 POINTS AND BRAINLIEST. WHAT IS THE SQUARE ROOT OF 169?

Brums [2.3K]

13 x 13
or

13^2 (13²) will give you 169
and when two negative numbers are put together you get a positive so in this case -13 would work too.

7 0

3 years ago

Read 2 more answers

First, rewrite 16//21 and 7/9 so that they have a common denominator.

notka56 [123]

Answer:

Step-by-step explanation:

8 0

3 years ago