MATHEMATICS COLLEGE

Imari spent half her weekly allowance playing mini-golf. To earn more money, her parents let her wash the car for $4. If she ended up with $12 how much is her weekly allowance? (Prove Your Answer)

Answers

Answer 1
Answer:

Answer:

$16

Step-by-step explanation:

She spends half of her weekly allowance.

She earns $4.

12-4=8.

8 is half of what she originally had. 8 times two is 16, her weekly allowance
Answer 2
Answer:

Answer:

$16

Step-by-step explanation:

let x=Imari's allowance

12-4=1/2x

1/2x=8

x=16

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Help me out please and thank you

Answers

Answer: 1

========================================================

Explanation:

We're given the height in relation to base BC, so we need to find the length of this base. This is the same as finding the distance from B to C.

Turn to the distance formula

d = \text{Distance from B to C}\n\nd = √((x_1-x_2)^2+(y_1-y^2)^2)\n\nd = √((-2-(-3))^2+(-1-(-2))^2)\n\nd = √((-2+3)^2+(-1+2)^2)\n\nd = √((1)^2+(1)^2)\n\nd = √(1+1)\n\nd = √(2)\n\n

Coincidentally, the base and height are the same. This won't always be the case.

Now we can find the area of the triangle

A = \text{Area of triangle}\n\nA = (1)/(2)*\text{Base}*\text{Height}\n\nA = (1)/(2)*√(2)*√(2)\n\nA = (1)/(2)*√(2*2)\n\nA = (1)/(2)*√(4)\n\nA = (1)/(2)*2\n\nA = 1\n\n

The area of the triangle is 1 square unit.

See diagram below.

Suppose that weekly income of migrant workers doing agricultural labor in Florida has a distribution with a mean of $520 and a standard deviation of $90. A researcher randomly selected a sample of 100 migrant workers. What is the probability that sample mean is less than $500

Answers

Answer:

z = (500-520)/((90)/(√(100)))= -2.22

And we can find this probability using the normal standard distribution and we got:

P(z<-2.22) =0.0132

Step-by-step explanation:

For this case we have the foolowing parameters given:

\mu = 520 represent the mean

\sigma =90 represent the standard deviation

n = 100 the sample size selected

And for this case since the sample size is large enough (n>30) we can apply the central limit theorem and the distribution for the sample mean would be given by:

\bar X \sim N(\mu , (\sigma)/(√(n)))

And we want to find this probability:

P(\bar X <500)

We can use the z score formula given by:

z = (500-520)/((90)/(√(100)))= -2.22

And we can find this probability using the normal standard distribution and we got:

P(z<-2.22) =0.0132

40% of the groups budget was spent on activities. If $64,000 was spent on the activities, what was the full budget? solve with the aid of a diagram. State what type of problem this is. if it's division, which type? Explain your reasoning, not just by using an equation.

Answers

Answer:

The full budget has a total value of $160,000

Step-by-step explanation:

This is a simple ratio problem and can be solved using the Rule of Three property. The Rule of Three is used to compare two ratios and find the missing part. In this case the ratios would be the following.

(64,000)/(40 percent) = (x)/(100 percent)

(64,000 * 100 percent)/(40 percent) = \frac{x}

(6,400,000)/(40 percent) = \frac{x}

160,000= \frac{x}

So now we know that 100% (The full budget) has a total value of $160,000.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

What are the new coordinates of the figure above if it is dilated by a scale factor of , with the origin as the center of dilation?

Answers

Answer:

could you show a picture and repost thx

Step-by-step explanation:

Please solve for x. Show the process (steps).
4x = 40​

Answers

Answer:

x = 10

Step-by-step explanation:

4x = 40

you divide both sides by 4

and it gets you

x = 10

hope this helps

Answer:

x=10

Step-by-step explanation:

lets reverse engineer this. 4x=40. What is known in this? We know 40 is the unit amount of 4x. So we need to find out what x is, than multiply it by 4. We can do this by doing the opposite of multiplying, which is dividing! So we divide 4 by 40, which we get the answer 10! We know this is the correct answer because we can factor it into the equation. So 4*10=40!!! hope this helped!!!

What is the solution of the system

Answers


x - 2y = 4 \n x = 2y + 4 \n 3(2y + 4) + y = 5 \n 6y + 12 + y = 5 \n 7y = - 7 \n y = - 1
x = 2(-1) + 4
x = 2
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