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9966 [12]
2 years ago
15

1. If I can buy 3 pounds of grapes for $7.00, how much will 12 pounds cost?

Mathematics
2 answers:
Lena [83]2 years ago
7 0
So 3 times 4 is 12 so 7 times 4 is 28 so the answer should be $28.00 but
Sladkaya [172]2 years ago
6 0
7*4= $28 (hope this help!)
You might be interested in
The scores on the LSAT are approximately normal with mean of 150.7 and standard deviation of 10.2. (Source: www.lsat.org.) Queen
faltersainse [42]

Answer:

a=150.7 -0.385*10.2=146.773

So the value of height that separates the bottom 35% of data from the top 65% (Or the 35 percentile) is 146.7.  

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

2) Solution to the problem

Let X the random variable that represent the  scores on the LSAT of a population, and for this case we know the distribution for X is given by:

X \sim N(150.7,10.2)  

Where \mu=150.7 and \sigma=10.2

We want to find a value a, such that we satisfy this condition:

P(X>a)=0.65   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.35 of the area on the left and 0.65 of the area on the right it's z=-0.385. On this case P(Z<-0.385)=0.35 and P(Z>-0.385)=0.65

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

Z=-0.385

And if we solve for a we got

a=150.7 -0.385*10.2=146.773

So the value of height that separates the bottom 35% of data from the top 65% (Or the 35 percentile) is 146.7.  

5 0
3 years ago
Read 2 more answers
If a loan option had been available for your food truck for the $50,000 at 4% interest for 6 years instead of 4 would you have t
stira [4]

Answer:

It depends.

Step-by-step explanation:

For 6 years:

50000*(1.04)^6=\$63266

On average, you would have to be profiting:

\frac{63266}{6}=\$10544 per year

For 4 years:

50000*(1.04)^4=\$58492

On average, you would have to be profiting:

\frac{58492}{4} = \$14623 per year.

It would be better to have the longer term option - although you will be paying off more in total, you would be paying off a smaller portion of your earnings.

However, you may want to pay off the loan faster as you would no longer have to worry about it, and it would be cheaper to pay off over the shorter period.

6 0
3 years ago
How do I simplify these expressions?<br> 5(x+8)+3<br> 3.6x-7-5.1x<br> 4+8x+2.2-10x
Aleks04 [339]

Answer:

1. 5x +43

2. -1.5x - 7

3. 6.2 - 2x

Step-by-step explanation:

<u />

<u>Equation 1:</u>

5 (x+8) +3

First, we can distribute the 5 to the (x+8) and get 5x + 40. Distributing is when we multiply the 5 by the first number (x) and then by the second number (8) Because they aren't like terms (don't both have x's) we cannot combine then and must keep them separated by a subtraction sign

Now we have: 5x + 40 + 3

Next, we can combine the like terms. This means that any that have the same variable can be combined. So, the 5x has no other x's so he has to stay how he is. The 40 and the 3, however, can be added together to get 43.

Our finished equation is: 5x + 43

<u />

<u>Equation 2:</u>

3.6x - 7 - 5.1x

First, we can combine like terms as we learned in the last problem. This would be our x's since we have multiple.

We can add 3.6x and -5.1x and get -1.5x

Now we have: -1.5x - 7

<u />

<u>Equation 3:</u>

4 + 8x + 2.2 - 10x

We can start with either the numbers with x's or without but I'll just do the x's. So we have 8x and -10x. Adding these together would get us -2x.

Next, we can combine 4 and 2.2 and get 6.2.

Now, putting these back into our equation would look like this:

6.2 - 2x

I'm not sure how much my explanations helped, but I hope you understand!!

8 0
3 years ago
Amy bought 0.4 kilogram of tomatoes for $4.00. What is the cost in dollars per kilogram of tomatoes?
Gwar [14]
It is 10 (make proportions and solve for x)
5 0
3 years ago
Read 2 more answers
William wants to invest $30,000 in a mutual fund.
Natali [406]

Answer:

He will have $39,750 at the end of five years.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P

In this question:

P = 30000, I = 0.065, t = 5

Interest earned:

E = P*I*t = 30000*0.065*5 = 9750

Total amount:

T = E + P = 9750 + 30000 = 39750

He will have $39,750 at the end of five years.

8 0
3 years ago
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