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3 years ago

Solve and show your work for each question.

Mathematics

2 answers:

aliina [53]3 years ago

5 0

0.45/1

Then multiply top and bottom by 100.

45/100

Then simplify!

45/100 divide top and bottom by 5.

9/20

Harlamova29_29 [7]3 years ago

4 0

Answer:

9/20

Step-by-step explanation:

You set the fraction up at first as 45/100. Then you know that 5 goes into each so you divide by 5 $\frac{45}{100} /5$

45/5=9

100/5=20

You get 9/20, and this is in simplest form.

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The perimeter of a square is 100 feet. What is the length of one of its sides? Explain your work.

tiny-mole [99]

Answer:

Step-by-step explanation:

to find the perimeter you add up all the sides and since it's a square and squares have all four equal sides

you just divide 100/4=25

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3 years ago

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A salad made such that the difference between twice the ounces of greens and the ounces of carrots is at least 3. Also, the sum

kap26 [50]

Answer:

3rd graph down

Step-by-step explanation:

greens are x and carrots are y in my equations

2x - y >= 3

x + 2y < 4

The first equation is solid and will highlight everything to the right of it because it is a >

the second is dashed and will highlight everything to the left of it because it is a <

the only 2 graphs that show this are 1 and 3

looking at the points you can see that the points for the solid line are both the same so ignore those and go to the dashed lined ones.

on the first graph the points are (0,4)

plugging those into our equation gives us 0 + 2*4 <4

or 8<4 which doesnt make sense making 3 the correct graph

(sorry my answer wasnt posting so i had to start over and make it less detailed, but comment if you need any explanation)

4 0

3 years ago

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1. You are making gift bags to give to your friends at a birthday party. You have 36 candy bars, 24 pencils, and 48 erasers to d

Mnenie [13.5K]

iAnswer: i belive it is 12

Step-by-step explanation: theGCF of 36 and 24 is 12 the GCF of 36 and 48 is 12 and the GCF of 48 and 24 is 12 and 24

PRT TWO: there would be 2 pencils in each bag 3 candy barsin each and 4 erasers in each because 24 divided by 12 = 2 36 divided by 12 = 3 and 48 dividedby 12 = 4

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3 years ago

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What is the area of a rectangle with a length of 37 inches and a width of 45 inches

aliina [53]

Answer:

A=1665

Step-by-step explanation:

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3 years ago

The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 460 seconds and a

AlekseyPX

Answer:

The time that the boys need to beat in order to earn a certificate of recognition from the fitness association is 511.264 seconds.

Step-by-step explanation:

We are given that the time for this event for boys in secondary school is known to possess a normal distribution with a mean of 460 seconds and a standard deviation of 40 seconds.

The fitness association wants to recognize the fastest 10% of the boys with certificates of recognition.

Let X = time for this event for boys in secondary school

SO, X ~ Normal( $\mu=460,\sigma^{2} =40^{2}$ )

The z-score probability distribution for normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = mean time = 460 seconds

$\sigma$ = standard deviation = 40 seconds

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, it is given that the fitness association wants to recognize the fastest 10% of the boys with certificates of recognition, which means;

P(X > x) = 0.10 {where x is the required time which boy need to beat}

P( $\frac{X-\mu}{\sigma}$ > $\frac{x-460}{40}$ ) = 0.10