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2 months ago

Guest #7710

2 months ago

8 notebooks cost y dollars.

1 notebook would cost y/8.

2 notebooks would then cost 2*y/8 = 2y/8 = y/4

2 notebooks would cost y/4 dollars.

1 notebook would cost y/8.

2 notebooks would then cost 2*y/8 = 2y/8 = y/4

2 notebooks would cost y/4 dollars.

Question

If a customer wants to cover an area 20ft wide by 57ft long with rock, how many square feet does he have to cover?

Solution 1

20*57=1140 ft²

...........................

...........................

Solution 2

He will need to cover 1,140 square feet because 20 x 57 = 1,140

Question

A bowl contains 24 marbles consisting of 6 white marbles, 8 blue marbles, 7 black marbles, 3 red marbles. What is the probability of drawing a red marble? A. 6/24
B.5/25
C.1/8
D.7/8

Solution 1

Red Marbles: 3

Total Amount of Marbles: 24

Red to Total: 3/24

3/24 = 1/8

**Answer = C. 1/8**

Hope this helped☺☺

Total Amount of Marbles: 24

Red to Total: 3/24

3/24 = 1/8

Hope this helped☺☺

Question

Does 16=xy show direct variation

Solution 1

No it does not.

It shows an indirect variation between x and y.

x α 1/y

x = k/y

xy = k The constant here is 16.

xy = 16. So it shows an indirect variation

It shows an indirect variation between x and y.

x α 1/y

x = k/y

xy = k The constant here is 16.

xy = 16. So it shows an indirect variation

Question

What is 50,003,087 in expanded form

Solution 1

50000000+3000+80+7

This is the answer^

This is the answer^

Question

4 percent of what is 56

Solution 1

4% of 56 is what?

4/100 .... 0.4

0.4*56 = 22.4

22.4 = 22

**the answer would be about 22**

**≈ 22**

Best Regards, Mike

4/100 .... 0.4

0.4*56 = 22.4

22.4 = 22

Best Regards, Mike

Solution 2

4 percent of what is 56? Let the "what" be x.

4 percent of x is 56

(4/100) * x = 56

(4/100)x = 56

x = 56*100/4. 4 into 56 is 14

x = 14 * 100 = 1400

Therefore 4 percent of 1400 is 56.

Answer is 1400.

4 percent of x is 56

(4/100) * x = 56

(4/100)x = 56

x = 56*100/4. 4 into 56 is 14

x = 14 * 100 = 1400

Therefore 4 percent of 1400 is 56.

Answer is 1400.

Question

Richard and samantha are charting their monthly cash flow. They have some expenses like car repairs and vacations that are not paid each month. How can they account for these non-monthly expenses ?

Solution 1

They can put them into a chart called unexpected expenses.

This way they can take vacations or if they have car troubles

It would make their life so much easier

This way they can take vacations or if they have car troubles

It would make their life so much easier

Question

A bicycle and a bicycle helmet cost 240 dollars. How much did each cost, if the bicycle cost 5 times as much as the helmet? Question 8 options:
bike = $200 and helmet = $40
bike = $160 and helmet = $80
bike = $120 and helmet = $60
bike = $100 and helmet = $90

Solution 1

The answer is the second choice

Question

Bryce collected data about the amount of time each student in his history class spends studying. If the range of these data is 1, what does this reveal about the data? All the students in his history class spend exactly 1 hour studying. All the students in his history class spend an average of 1 hour studying. The smallest and largest data values are 1 unit away from each other. The middle data value for time spent studying by all students in his class is 1 hour.

Solution 1

The **range **of these data is 1, means;

⇒ The smallest and largest data values are 1 unit away from each other.

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

**Bryce** collected data about the **amount **of time each student in his history class spends studying.

And, the range of these data is 1.

Since, The range is the difference between the smallest and highest numbers in the data set.

Hence, We get;

The **range **of these **data **is 1, means;

⇒ The smallest and largest data values are 1 unit away from each other.

Thus, he **range **of these data is 1, means;

⇒ The **smallest **and largest data values are 1 unit away from each other.

Learn more about the **subtraction** visit:

#SPJ3

Solution 2

The smallest and largest data values are 1 unit away from each other

Question

Given two terms from a geometric sequence, identify the first term and the common ratio: a5= 48 and a11= 3,072.

Solution 1

a5= 48 and a11= 3,072

Write out the formula for a geometric sequence: a_n = a_1*r^(n-1), with n

beginning at 1.

Then, using the given info:

a_5 = 48 is equivalent to a_48 = a_1*r^(5-1), or a_48 = a_1*r^4 = 48

a_11 = 3072 is equivalent to 3072 = a_1*r^10 = a_1*r^4*r^6 = 3072

Solving a_1*r^4 = 48 for a_1, we get 48 / r^4. Substitute this into the second equation to eliminate a_1:

a_1*r^4*r^6 = 3072 => (48 / r^4)*r^10 = 3072. Then 48*r^6 = 3072, and

r^6 = 3072 / 48 = 64. Thus, r = 6th root of 64 = 2

Now we must solve for a_1. Recall that 48 = a_1*r^4 and subst. 2 for r:

48 = a_1*2^4 => 48 = a_1*16. Then a_1 = 3.

The first term is 3 and the common ratio is 2.

Write out the formula for a geometric sequence: a_n = a_1*r^(n-1), with n

beginning at 1.

Then, using the given info:

a_5 = 48 is equivalent to a_48 = a_1*r^(5-1), or a_48 = a_1*r^4 = 48

a_11 = 3072 is equivalent to 3072 = a_1*r^10 = a_1*r^4*r^6 = 3072

Solving a_1*r^4 = 48 for a_1, we get 48 / r^4. Substitute this into the second equation to eliminate a_1:

a_1*r^4*r^6 = 3072 => (48 / r^4)*r^10 = 3072. Then 48*r^6 = 3072, and

r^6 = 3072 / 48 = 64. Thus, r = 6th root of 64 = 2

Now we must solve for a_1. Recall that 48 = a_1*r^4 and subst. 2 for r:

48 = a_1*2^4 => 48 = a_1*16. Then a_1 = 3.

The first term is 3 and the common ratio is 2.

Question

A number is 7 more than the product of 6 and p

Solution 1

Let the number be = n

The number is 7 more than the product of 6 and p.

n = 6*p + 7

n = 6p + 7

I hope this helps.

The number is 7 more than the product of 6 and p.

n = 6*p + 7

n = 6p + 7

I hope this helps.

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