All categories

2 years ago

Abby ran 2 1/3 miles. Miguel ran 1 1/2 times as far as Abbey did. how many miles did Miguel run?

1 answer:

8 0

Miguel's 1 1/2 times can be written out as 1.5 because 1/2 is equal to 0.5,
To work out the distance you need to times Abby's miles by 1.5. Another way of doing this is by dividing Abby's miles by 2, working out the 0.5, and then adding her original miles, adding on the 1 to make 1.5.

2 1/3 / 2 = 1 1/6
1 1/6 + 2 1/3 = 3 3/6 = 3.5 miles

Hope this helps! :)

You might be interested in

Use z scores to compare the given values.

Effectus [21]

Answer:

The answer is given below

Step-by-step explanation:

Z score is used to measure by how many standard deviations the raw score is above or below the mean. It is given by the formula:

$z=\frac{x-\mu}{\sigma}\\ \\Where\ \mu=mean, x=raw\ score, \sigma=standard\ deviation$

For the male:

μ = 3259.8 g, σ = 869.7 g

Hence for a male who weighs 1600 g, the z score is:

$z=\frac{x-\mu}{\sigma} =\frac{1600-3259.8}{869.7}=-1.91$

For the female:

μ = 3000.9 g, σ = 550.8 g

Hence for a female who weighs 1600 g, the z score is:

$z=\frac{x-\mu}{\sigma} =\frac{1600-3000.9}{550.8}=-2.54$

Since the z score for the male is z= -1.91 and the z score for the female is z= -2.54 the male has the weight that is more extreme.

6 0

2 years ago

Find the Perimeter of this shape. Can someone explain to me how to find the perimeter.

Agata [3.3K]

The little lines in each side show that the sides are the same length but you also need to find the length of the smaller side which isn’t the same. For this imagine that the shape is split into a square and a triangle and you need to find the long side of the triangle using Pythagoras
a^2 + b^2 = c^2
20^2 + 20^2 = 800
Square root of 800 = 28.3
Then do 28.3-20=8.3
So I think the answer is 20+20+20+20+20+8.3=108.3 cm

3 0

2 years ago

Semicircles and quarter circles are types of arc lengths. Recall that an arc is simply part of a circle. We learned about the de

attashe74 [19]

The question is incomplete. Here is the complete question.

Semicircles and quarter circles are types of arc lengths. Recall that an arc is simply part of a circle. we learned about the degree measure of an ac, but they also have physical lengths.

a) Determine the arc length to the nearest tenth of an inch.

b) Explain why the following proportion would solve for the length of AC below: $\frac{x}{12\pi } = \frac{130}{360}$

c) Solve the proportion in (b) to find the length of AC to the nearest tenth of an inch.

Note: The image in the attachment shows the arc to solve this question.

Answer: a) 9.4 in

c) x = 13.6 in

Step-by-step explanation:

a) $\frac{arclength}{2\pi.r } = \frac{mAB}{360}$ , where:

r is the radius of the circumference

mAB is the angle of the arc

arc length = $\frac{mAB.2.\pi.r }{360}$

arc length = $\frac{90.2.3.14.6}{360}$

arc length = 9.4

The arc lenght for the image is 9.4 inches.

b) An <u>arc</u> <u>length</u> is a fraction of the circumference of a circle. To determine the arc length, the ratio of the length of an arc to the circumference is equal to the ratio of the measure of the arc to 360°. So, suppose the arc length is x, for the arc in (b):

$\frac{x}{2.6.\pi } = \frac{130}{360}$

$\frac{x}{12\pi } = \frac{130}{360}$

c) Resolving (b):

x = $\frac{130.12.3.14}{360}$

x = 13.6

The arc length for the image is 13.6 inches.

6 0

3 years ago

Don't answer if you don't know

SIZIF [17.4K]

0.10d + 0.25q = 3.55
q = d + 3

0.10d + 0.25(d + 3) = 3.55
0.10d + 0.25d + 0.75 = 3.55
0.10d + 0.25d = 3.55 - 0.75
0.35d = 2.80
d = 2.80/0.35
d = 8.....8 dimes

q = d + 3
q = 8 + 3
q = 11 <=== 11 quarters

3 0

3 years ago

Wendy is concentrating a sample by distillation. She started with 140 mi of a solution that was about 0.07% inorganic salts. Aft

pantera1 [17]

The percentage of solution o after distillation 36%

6 0

3 years ago