The average American uses about 90 gallons of water per day. How many liters per year is this?

Answer:  Choice C

(3 x 8) x 6 = 3 x (8 x 6)

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Explanation:

The associative property in general is

(a x b) x c = a x (b x c)

where the x stands for the multiplication symbol.

The a,b,c is in the same order for both sides, but grouped in slightly different ways with the parenthesis.

Plug in a = 3, b = 8, c = 6 to arrive at (3 x 8) x 6 = 3 x (8 x 6)

The break even point is the point where the cost and the revenue are equal

The break even point is at x = 50

The functions are given as:

C(x) = 30x + 500 --- cost function

R(x) = 40x ---- revenue function

At the break even, we have:

R(x) = C(x)

So, the equation becomes

40x = 30x + 500

Subtract 30x from both sides

10x = 500

Divide both sides by 10

x = 50

Hence, the break even point is at x = 50

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Answer: 0.375

Step-by-step explanation: 3/4 times 1/2 equal to 0.375

Answer:

I don't understand your question.

Step-by-step explanation:

Please make it clearer.

Answer:

2x-16y=24

x-8y=5

Step-by-step explanation:

Answer:

It was 16

Step-by-step explanation:

16+7+16+12+10+11=72

72 divided by 6  = 12

Answer:

-1/3 + -25

Step-by-step explanation:

-1/3 - 2/5 = -11/15

-1/3 + -2/5 = -11/5

Because add the same, but the two negatives are even so you keep the negative.

Answer:

pre tests still count amdand matmattemattter

Step-by-step explanation:

So let's set our mystery number to 10

We want to find the quotient of 10 and the sum of 3 and 2.

    quotient = [tex]\frac{10}{3+2} =\frac{10}{5} =2[/tex]

So the quotient, in this case, is 2.

Hope that helps!

Answer:

2

Step-by-step explanation:

Answer:

Yes, No, Yes, No.

Step-by-step explanation:

1/3 + 1/3 = 2/3

1/6 + 1/6 = 2/6, or 1/3, not 2/3.

2/3 + 6/9 = 4/3

2/5 + 2/3 = 16/15, not 14/15.

Answer:

if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function.

Step-by-step explanation:

Answer:

  upper left (see attached)

Step-by-step explanation:

If any input results in more than one output, the relation is not a function. The attachment shows a relation that is not a function.

Answer:

[A]. a + 2(a – 3) = 15

Step-by-step explanation:

To See which equation is true for the value a = 7 Solve all of it.

Start with [A]

[A] a + 2(a – 3) = 15

7+2(7-3)=15

Hence,this is True.

Next ,[B]

[B] 4a-4(14-a)=24

4(7)-4(24-7)= -40

Hence, this is False.

Then, we have [C]

[C] 2a + 47 = 105

2(7) + 47 =61

Hence, this is False.

Now, We have [D]

[D] 3a+2(a-3)=34

3(7)+2(7-3)=29
Hence, this is False.

Lastly, We have [E]

[E] 4a-2a=18

4(7)-2(7)=14

Hence, this is False.

Thus, Correct Answer = [A].a + 2(a – 3) = 15

[RevyBreeze]

Answer:

A. a + 2(a – 3) = 15

Step-by-step explanation:

The first option.

Answer:

47,1

Step-by-step explanation:

it is because when you multiply 3,14 by 15 you get your answer as 47,1 and it is a decimal

Using Multiplication, Jada need 47.1 feet of protective material around the rim of the pool.

Multiplication is the "method of finding product of two or more numbers".

According to the question,

A circular swimming pool has a diameter of 15 feet.

In order to find how many feet of protective material jada need:

Formula for area of circle = πr²  where 'r' is the radius of the circle.

Diameter = r²

= (3.14) (15)   [π = .14]

= 47.1

Hence, Jada need 47.1 feet of protective material around the rim of the pool.

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Answer:

15% of 25

Step-by-step explanation:

Given the following questions:

25% of 15
15% of 25

We find the answer by using the formula to calculate percentage for both questions.

Question one:
[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{25\times15}{100} =25\times15=375\div100=3.75[/tex]
[tex]=3.75[/tex]

25% of 15 is 3.75

Question two:
[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{15\times 25}{100}=15\times25=375\div100=3.75[/tex]
[tex]=3.75[/tex]

15% of 25 is 3.75

Finally:
[tex]3.75=3.75[/tex]

[tex]15-3.75=11.25[/tex]
[tex]25-3.75=21.25[/tex]
[tex]11.25 < 21.25[/tex]

Which means 15% of 25 is "greater than" 25% of 15.

Hope this helps.

Answer:

1

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] = [tex]\frac{7.5}{15}[/tex]

1 = [tex]\frac{15}{15}[/tex]

which is 12 closer to?

7.5 or 15 ?

15 of course

Answer:

1

Step-by-step explanation:

12/15 = 0.8

0=0.0

1/2=0.5

1=1.0

0<0.5<0.8<1

So now it is in between 0.5 and 0.8 and it is closer to 1 as it is only 0.2 away, 0.5 is 0.3 away.

Answer:

69 degrees

Step-by-step explanation:

Angles in a circle add up to 360 degrees

360 - (44+90+157) = 69

Explanation:

There may be a more direct way to do this, but here's one way. We make no claim that the statements used here are on your menu of statements.

Statement . . . . Reason

2. ∆ADB, ∆ACB are isosceles . . . . definition of isosceles triangle

3. AD ≅ BD

and ∠CAE ≅ ∠CBE . . . . definition of isosceles triangle

4. ∠CAE = ∠CAD +∠DAE

and ∠CBE = ∠CBD +∠DBE . . . . angle addition postulate

5. ∠CAD +∠DAE ≅ ∠CBD +∠DBE . . . . substitution property of equality

6. ∠CAD +∠DAE ≅ ∠CBD +∠DAE . . . . substitution property of equality

7. ∠CAD ≅ ∠CBD . . . . subtraction property of equality

8. ∆CAD ≅ ∆CBD . . . . SAS congruence postulate

9. ∠ACD ≅ ∠BCD . . . . CPCTC

10. DC bisects ∠ACB . . . . definition of angle bisector

Answer: 86pi

Step-by-step explanation:

Answer:

43 cm

Step-by-step explanation:

Hope this helps!

Answer:

0, 1, 2, 5, 12, 29, 70, 169, 408, 985, 2378, 5741, 13860,…

Step-by-step explanation:

Answer:

Answer:

for (a)

8m

(b)

1m

Step-by-step explanation:

(a) the area of a square =L*B

√64

=8m

(b)the perimeter of a square=4L

4*1=4m

(a) A square has an area of 64 m² . What is the length of each side .

As we know that area of square is equal to side² . So we have to equate the formula with given area . So :

Therefore , each side of square is of 8 m .

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

(b) A square has a perimeter of 4 cm . What is the length of each side .

As we know that perimeter of square 4 cm , therefore we have to equate it with perimeter formula and then solve . So :

Therefore , each side of square is of 1 cm .

Answer: 9

Step-by-step explanation:

Answer:

What do you mean? nearest hundredth or tenth???????

Step-by-step explanation:

Answer:

31.55

Step-by-step explanation:

==> 31.55

==> Already in 2 decimal places

1620 = 2².3⁴.5

ok done. Thank to me :>

Answer:

Prime Factor of 1620 is...

[tex]\begin{gathered} \: \end{gathered}[/tex]

[tex]\sf2 \times 2 \times 3 \times 3 \times 3 \times 3 \times 5[/tex]

[tex]\begin{gathered} \: \end{gathered}[/tex]

Step-by-step explanation:

correct me if I'm wrong

#LetsStudy

[tex]\begin{gathered} \: \end{gathered}[/tex]

[tex]\tt{\large{\underline{ ANSWERED\: BY:}}}[/tex][tex]\tt\purple{⟶ MariaGabriellaSofia}[/tex]

Answer:$13 dollars and 60 cent

Step-by-step explanation:

Add 10+1+2= 13 the cent stay the same

Answer:

8• (5+x) < 56

Step-by-step explanation:

Given :

⠀

To Find :

⠀

Solution :

We know that,

[tex]\qquad { \pmb{ \bf{Length \times Width = Area_{(rectangle)}}}}\:[/tex]

So,

Let's assume the length of the rectangle as x and the width will be (x – 4).

⠀

Now, Substituting the given values in the formula :

[tex]\qquad \sf \: { \dashrightarrow x \times (x - 4) = 45 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow {x}^{2} - 4x = 45 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow {x}^{2} - 4x - 45 = 0 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow {x}^{2} - 9x+ 5 x - 45 = 0 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow x(x - 9) + 5(x - 9) = 0 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow (x - 9) (x + 5) = 0 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow x = 9, \: \: x = - 5}[/tex]

⠀

Since, The length can't be negative, so the length will be 9 which is positive.

⠀

[tex]\qquad { \pmb{ \bf{ Length _{(rectangle)} = 9\:m}}}\:[/tex]

[tex]\qquad { \pmb{ \bf{ Width _{(rectangle)} = 9 - 4=5\: m}}}\:[/tex]

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

The length is 9m and the width is 5m.

This is defined as is a quadrilateral with four right angles and the area is calculated as Length × width.

Let's assume length is x and width is (x-4).

We have x × (x-4) = 45m²

x² - 4x = 45

x² - 4x - 45 = 0

x² - 9x + 5x -45 = 0

x(x-9) +5 (x-9)

(x+5)(x-9) = 0

x = -5 or x = 9

x is therefore 9m and the width is (9-4) = 5m

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Answer:

  (a)  5 : 8 < 7 : 10

  (b) 9/6 = 36/24

Step-by-step explanation:

Perhaps simplest to explain is the use of a common denominator: 40.

  [tex]5 : 8 = (5\cdot5):(8\cdot5)=25:40\\\\7:10=(7\cdot4):(10\codt4)=28:40\\\\25:40 < 28:40\quad\leftrightarrow\quad\boxed{5:8 < 7:10}[/tex]

__

Other ways you can do this comparison are ...

  Multiply by 8·10 = 80, the product of the denominators:

     5·10 = 50 < 7·8 = 56

  Convert the fractions to decimal:

     5/8 = 0.625 < 7/10 = 0.700

__

Remove a factor of 4 from the second fraction:

  [tex]\dfrac{9}{6}\text{ and }\dfrac{36}{24}\quad\leftrightarrow\quad\boxed{\dfrac{9}{6}=\dfrac{9\cdot4}{6\cdot4}}[/tex]

Answer:

3⁻ⁿ⁺²

Step-by-step explanation:

we need to make both bases the same

9 can be written as 3²

[tex] \frac{3 {}^{n} }{3 {}^{2(n - 1)} } [/tex]

multiply 2(n-1) = 2n - 2

[tex] \frac{3 {}^{n} }{3 {}^{2n - 2} } [/tex]

I'll rewrite as 3ⁿ ÷ 3²ⁿ⁻²

subtract the exponents when dividing numbers with the same base

n - (2n-2) or n - 1(2n-2) imagine the 1 is there

remember that the whole of (2n-2) is being multiplied by -1, so expanding

n - 2n + 2 = -n + 2

final answer: 3⁻ⁿ⁺²

ATQ

[tex]\\ \rm\hookrightarrow 2x+x=450[/tex]

[tex]\\ \rm\hookrightarrow 3x=450[/tex]

[tex]\\ \rm\hookrightarrow x=50[/tex]