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4 years ago

What is the side length of a square with an area of 144x^2?

1 answer:

6 0

To answer this, we need to know the expression for the area of a square which is the square of its side length or:

Area = a²

Solving for the side length,

a = √area
a = √144x²
a = 12x

Therefore, the side length is 12x.

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50 POINTS!! WILL MARK BRAINLIEST!! SHOW ALL WORK!!

DanielleElmas [232]

Answer:

See below.

Step-by-step explanation:

(a) Let the cost of the macadamia dough = x and cost of the triple chocolate dough = y.

So we have the following system of equations:

25x + 30y = 221.25 ( Juliens class)

5x + 45y = 191.25 ( Castilejo's class). (Answer).

(b)

Solving:

25x + 30y = 221.25 ......... (1)

5x + 45y = 191.25 ..............(2)

Multiply equation (2) by -5:

-25x - 225y = -956.25 .... (3)

Now add equations (1) and (3):-

-195y = -735

y = $3.77

Substituting in equation (1)

25x + 30(3.77) = 221.25

25x = 221.25 - 113.08 = 108.17

x = $4.33.

Answer The macadamia dough costs $4.33 and the chocolate cost $3.77.

(c) I used the elimination method to solve this because the substitution method would be more awkward - it would involve more calculation and higher numbers.

6 0

3 years ago

Read 2 more answers

150 parents were surveyed. 26% said that the kids were noddy and 70% said their kids were nice. How many parents didn't answer w

alexandr1967 [171]

Answer:

The parents who didn't answer with either naughty and nice are 6.

Step-by-step explanation:

Given:

150 parents were surveyed. 26% said that the kids were naughty and 70% said their kids were nice.

Now, to find parents who didn't answer with either naughty and nice.

So, as given in question:

70% said that their kids are naughty.

26% said that their kids are nice.

So, to get the percentage of parents who didn't answer we subtract.

Thus, the percentage of parents who didn't answer with either naughty and nice:

100% - (70% + 26%)

100% - 96% = 4%.

Hence, 4% of parents didn't answer.

Now, to get how many parents didn't answer we calculate the percentage of the total who didn't answer:

Total parents surveyed = 150.

Parents who didn't answer = 4% of the total parents surveyed.

$Parents\ who\ didn't\ answer = 4\% of 150.$

$Parents\ who\ didn't\ answer = \frac{4}{100}\times 150.$

$Parents\ who\ didn't\ answer = \frac{600}{100}.$

$Parents\ who\ didn't\ answer = 6.$

Therefore, the parents who didn't answer with either naughty and nice are 6.

8 0

3 years ago

Please check screenshot

nignag [31]

Answer:

Step-by-step explanation:

6 0

3 years ago

You run 1 3/4 miles each day. Your friends runs 4 times as far as you do. How far does your friends run each eah day?

MrMuchimi

⓵ You run 1 ¾ miles. You can decide to work with fractions, but I find it easier to work with decimals :

¾ = 3 ÷ 4 = 0,75

1 mile + 0,75 mile = 1,75 miles

⓶ Your friend runs 4 times as far as you do, wich means that he runs 1,75 miles times four :

1,75 x 4 = 7 miles

So your final answer is : Your friend runs 7 miles each day.

I hope this helped, if there’s anything just let me know! ☻

8 0

4 years ago

When the light turns yellow, should you stop or go through it? An article defines the “indecision zone” as the period when a veh

olga2289 [7]

Answer:

Probability: 0.7190

There is not enough evidence at the 5% level of significance to suggest that there is difference in proportions of red-light runners between the two intersections

Step-by-step explanation:

We can conduct a hypothesis test for the difference of 2 proportions. If there is no difference in proportion of red-light runners between the 2 lights, then the difference in proportions will be zero. That makes the null hypothesis

H0: p1 - p2 = 0

The question is asking whether there is a difference, meaning that the difference can be higher or lower. If there is a difference, the proportions are not equal. This makes the alternate hypothesis

Ha: p1 - p2 ≠ 0

This is a two tailed test

We will use a significance level of 95% to conduct our test. This makes the critical values for our test statistic: z > 1.96 or z < -1.96.

If our test statistic falls in either region, we will reject the null hypothesis.

See the attached photo for the hypothesis and conclusion

The z-value of the test statistic is z = 0.58.

P(z < 0.58) = 0.7190

8 0

3 years ago