A faucet leaks water at a constant rate of 58 quart every 15 minutes.How many quarts does the faucet leak per hour?

Answer:

[tex] 7x - 1 [/tex]

Step-by-step explanation:

Area of the shaded region = area of the large rectangular - area of the small rectangle

Area of rectangle is given as l*w

Area of the large rectangle = [tex] l*w = (x + 5)(x - 1) [/tex]

Expand

[tex] = x(x - 1) +5(x - 1) [/tex]

[tex] = x^2 - x + 5x - 5 [/tex]

Area of large rectangle [tex] = x^2 + 4x - 5 [/tex]

Area of small rectangle = [tex] l*w = (x + 1)(x - 4) [/tex]

[tex] = x(x - 4) +1(x - 4) [/tex]

[tex] = x^2 - 4x + x - 4 [/tex]

Area of small rectangle = [tex] = x^2 - 3x - 4 [/tex]

Area of shaded region = [tex] (x^2 + 4x - 5) - (x^2 - 3x - 4) [/tex]

[tex] = x^2 + 4x - 5 - x^2 + 3x + 4 [/tex]

Collect like terms

[tex] = x^2 - x^2 + 4x + 3x - 5 + 4 [/tex]

[tex] = 7x - 1 [/tex]

Answer:

After 9 months she would have paid $2,375

Step-by-step explanation:

All you really need to do is multiply 175 by 9, giving you 1,575, and then add the original $800 down payment.

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▹ Answer

20 km/h

▹ Step-by-Step Explanation

Amount of km - 80 km

Hours - 4 hours

km/h = 80/4

= 20 km/h

Hope this helps!

CloutAnswers ❁

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Answer:

20 km/hr

Step-by-step explanation:

since she went 4 hours if we divide 80 km by 4 we should get our answer. 80/4 is 20 so the bird when 20 km/hr

Answer:

37 million and 37037

Step-by-step explanation:

37 million and 37037 Americans visited online retail sites on Black Friday last year

Answer:

Step-by-step explanation:

[tex]2(3x+6)\div(10m)\\\\x =8\\m =3\\\\2(3(8)+6)\div(10(3))\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(3\left(8\right)+6\right)\::\quad 30\\=2\times\:30\div \left(10\left(3\right)\right)\\\\\mathrm{Calculate\:within\:parentheses}\:\left(10\left(3\right)\right)\::\quad 30\\=2\times\:30\div \:30\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:2\times\:30\div \:30\:\\:\quad 2[/tex]

Answer:

2

Step-by-step explanation:

plug it in

2(3(8)+6)/(10(3))

pemdas

2(24+6)/(30)

2(30)/(30)

60/30

2

Answer:

4 is correct answer

Step-by-step explanation:

kindly see attached picture

hope it helped you:)

thanks!

Answer:

[tex] \tt {x}^{3} \: = \: 64[/tex]

[tex]\tt x \: = \: \sqrt[3]{64} [/tex]

[tex]\tt x \: = \: \sqrt{4 \times 4 \times 4} [/tex]

[tex] \underline {\boxed{ \tt x \: = \: 4}}[/tex]

Answer:

go 4+4+4+4+4       4x5 its a simple answer i took this 4 years ago

Step-by-step explanation:

4

4

4

4

4

4x5=20

Complete question is;

Consider the sequence shown: A, E, I … Jorge reasons that the next letter in the sequence is M, since three letters of the alphabet are skipped between each listed letter. Which explains whether Marcy should agree with Jorge’s inductive reasoning?

A. No; the sequence could be listing the vowels in alphabetical order.

B. No; sequences with only three terms are too short to use to find patterns.

C. Yes; this is the only reasonable pattern that can be identified from the terms.

D. Yes; inductive reasoning is a valid method for determining terms of a sequence

Answer:

Options C and D are the correct reasons why Marcy should agree with Jorge.

Step-by-step explanation:

A) It's wrong because the alphabets don't have to be listed in alphabetical order.

B) It's wrong because sequence can take any form. It could be 2 terms used to find patterns. It does not matter.

C) This is correct because after letter A, the next 3 letters which are B, C, D were skipped before E. Also, after E, the next 3 letters were skipped which are E, F, G before I. Thus, it's the only reasonable pattern from the terms to find the next term.

D) Inductive reasoning is based on observing patterns in a sequence, which we can use to decide the next successive terms of such a sequence. Thus, this is true because inductive reasoning is a valid method.

Answer:

1

Step-by-step explanation:

The pattern is always divide by 4. 256 divided by 4 equals 64, 64 divided by 4 equals 16, and 16 divided by 4. Continuing with the pattern, 4 divided by 4 equals 1.

Answer:

22 units

Step-by-step explanation:

Add up all the units.

Answer: 5

Step-by-step explanation:

The required value of 3 1/3 divided by 2/3 is 5.

In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.

For example 4/2 = 2

We have to determine the value of 3 1/3 divided by 2/3.

As per the question,

⇒ 3 1/3 ÷ 2/3

Convert the mixed numbers to fractions,

⇒ 10/3 ÷ 2/3

⇒ (10/3)/(2/3)

⇒ 10/2

Apply the division operation, and we get

⇒ 5

Thus, the required value of 3 1/3 divided by 2/3 is 5.

To learn more about the division operation click here :

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Answer:

The domain would be given by D = {X ≥ 2} X = [2, Z]. Since the variable Z is the number of children in the school. And the 6 children should not survey the same person, it would be Z / 6 for each interviewer.

Step-by-step explanation:

- If the group of children surveys more than 2 classmates, it means that the number with which the survey begins is 12 students.

And since the maximum number of students in the school is given by the variable of Z, then Z is the number with which the domain closes.

The rank would be given by the set of [2, Z]

Z / 6 being the maximum number of children surveyed by 1 interviewer.

The Domain of given function is, [tex]x\geq 2[/tex]

The Domain of function is defined as, all input values for which function is defined.

 The total number of completed survey is given by a function,

                        [tex]s(x)=6x[/tex]

Since, If the group of children surveys more than 2 classmates, it means that the number with which the survey begins is 12 students.

It means value of x is always greater and equal to 2.

                        So that,   [tex]x\geq 2[/tex]

Learn more:

https://brainly.com/question/20838649

Steps to solve:

d = abc for a

~Divide both sides by "bc"

d/bc = abc/bc

~Simplify

d/bc = a

Best of Luck!

Answer:

A) 26 guests

Step-by-step explanation:

I just took the quiz on edge

Answer:

PR = 12

Step-by-step explanation:

P-----------Q-----------R----------S

ratio

4:2:1

PS = 14

add the ration = 4 + 2 + 1 = 7

14 / 7 = 2

PQ at 4 x 2 = 8

QR at 2 x 2 = 4

RS at 1 x 2 =  2

              ------------

                   14

PR = PQ + QR

PR = 8 + 4

PR = 12

The length of the line segment PR is 12 units.

A line segment is a subset of a line which has two endpoints.

According to the given question The points P, Q, R and S all lie on the same line segment PS and the ratio of PQ : QR: RS is equal to 4:2:1.

Assuming PQ = 4x, QR = 2x and RS = x.

We know PQ + QR + RS = PS.

∴ 4x + 2x + x = 14.

7x = 14.

x = 2.

PR = PQ + QR.

PR = 4(2) + 2(2).

PR = 8 + 4.

PR = 12.

learn more about line segment here :

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Answer:

943,281

Step-by-step explanation:

Just move the 3 up a value

If it's in the ten's place, then move it to the hundred's place value.

If it's in the hundred's place, then move it to thousand's place value.

So on and so on...

The number is 943,281.

Place value is the value of each digit in a number. The value of every digit in a number is different based upon its position. A number might have two similar digits but different values, which is decided by the position that the digit holds in the number.

Place value is the value of a digit according to its position in the number such as ones, tens, hundreds, and so on.

For example, the place value of 5 in 3458 is 5 tens, or 50. However, the place value of 5 in 5781 is expressed as 5 thousands or 5,000.

Given:

digit 3 is 10 times as much as the value of the digit 3 in 942381

Here the digit 3 is at hundred place value.

Then, after 10 times the place value be at thousand.

hence, the number would be 943,281.

Learn more about place value here:

https://brainly.com/question/27734142

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Steps to solve:

-4z + 4 + 12z = 3z + 4 + 5z

~Combine like terms

8z + 4 = 8z + 4

~Subtract 4 to both sides

8z = 8z

~Divide 8 to both sides

0 = 0

All real numbers are solutions.

Set builder notation: {x | R}

This is an identity since every value can be a solution to the equation.

Best of Luck!

Answer:

C, 2.15

Step-by-step explanation:

Arabian Plate: 1.29x10^-4 = .000129

African Plate: 6x10^-5 = .000006

Once you've converted both into standard form, divide them to find the difference.

.000129/.000006 = 2.15

Answer:

The planes that contain the line AD are

1) Plane represented by bounded area ABCD

2) Plane represented by bounded area ADHE

Step-by-step explanation:

The line AD is located at the boundary of the planes ABCD and ADHE and as such is contained in the two planes.

A plane is defined as a flat surface in two dimensional space that has a linear vector boundary on alternate sides

A plane can be specified by a letter written in capitals, or by use of the letters at three non collinear points on the plane, such as plane P or plane ABC.

Answers:

Each yes/no answer refers to the question "is this a function?"

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

Explanation:

The last equation is not a function because of the even exponent over the y term. If you apply the fourth root to both sides, you'll end up with y = |x| and y = -|x| as the two possibilities. For any nonzero x, there are multiple y outputs.

The first three equations are functions because we don't have the same issue as the last equation. All exponents for the y terms are odd. Something like y without an exponent really means y^1.

Answer:

36

Step-by-step explanation:

PQ + QR = PR

substituting the values we have:

8 + 7x = 9x

8 + 7x - 7x = 9x - 7x

8 = 2x

8/2 = 2x/2

4 = x

Now, for the value of PR:

9 x 4

36

Answer:

-11

I went to Starbucks today knowing that i had -3 dollars in my bank account, but i wanted this Frappe so bad and it was 8 dollars. Long story short i ended up leaving with -11 dollars in my account.

Answer:

3

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

Each side of a square must be congruent and parallel to its opposite side.

Answer:

x=[tex]\frac{13}{6}[/tex]

Step-by-step explanation:

[tex]6( x - 1) - 12 = - 5 \\ ⟹ 6x - 6 - 12 = - 5 \\ ⟹ 6x - 18 = - 5 \\ ⟹ 6x = - 5 + 18 \\ ⟹x = \frac{13}{6}[/tex]

Hi there! :)

Answer:

[tex]\huge\boxed{x = \frac{13}{6}}[/tex]

6(x - 1) - 12 = -5

Begin by adding 12 to both sides:

6(x - 1) = -5 + 12

6(x - 1) = 7

Divide both sides by 6:

6(x - 1)/ 6 = 7 / 6

x - 1 = 7/6

Add 1 to both sides:

x = 7/6 + 6/6

x = 13/6.

Answer:

Step-by-step explanation:

Question A:

Step 1. The product of 7 and d is = 7d.

Step 2. Then the next part is separated by a comma.

Step 3. This leads to the influence of the idea that 7d is subtracted by 16.

Step 4. This concludes that the answer is 7d - 16.

Question B:

Step 1: The product of 7 concludes that 7 is alone.

Step 2: The separation of and shows that the part after and is together.

Step 3: If it is together, we can conclude it goes in parentheses.

Step 4: If it is in parentheses, it means the number 7 is being distributed.

Step 5: This concludes the answer is 7(d - 16).

Hope this helped,

Kavitha