a rain barrel can hold 50 gallons of water if there are 32 gallons inside of it, what percent of the barrel is full?

Answer:

1. Yes

2. Yes

3. No

Step-by-step explanation:

Given

Rectangle A:

[tex]Length = 12; Width = 8[/tex]

Rectangle B:

[tex]Length = 15; Width = 10[/tex]

Rectangle C:

[tex]Length = 30; Width = 15[/tex]

Solving (1): Is Rectangle A a scaled copy of Rectangle B?

To do this, we simply determine the ratio of the length and width of both rectangles;

i.e.

[tex]Ratio = \frac{A}{B}[/tex]

For Length:

[tex]Ratio = \frac{12}{15}[/tex]

[tex]Ratio = 0.8[/tex]

For Width:

[tex]Ratio = \frac{8}{10}[/tex]

[tex]Ratio = 0.8[/tex]

Since both ratios are the same, then this statement is true

Solving (2): Is Rectangle B a scaled copy of Rectangle A?

This is the inverse of (1) calculated above.

Since (1) is true, then (2) is also true

3. Is Rectangle A a scaled copy of Rectangle C?

To do this, we simply determine the ratio of the length and width of both rectangles;

i.e.

[tex]Ratio = \frac{A}{C}[/tex]

For Length:

[tex]Ratio = \frac{12}{30}[/tex]

[tex]Ratio = 0.4[/tex]

For Width:

[tex]Ratio = \frac{8}{15}[/tex]

[tex]Ratio = 0.53[/tex]

Since both ratios are the not same, then this statement is false

Answer:

i think it woulod be b personally cause it sounds trust worthy

Step-by-step explanation:

Answer:

Maybe A

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

Answer:

b. the slope is 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the expression for 5/a, you first need to solve the equation 5=a^x for a.  To solve for a, raise both sides of the equation to the 1/x power.  

5=a^x

5^(1/x)=(a^x)^(1/x)              (now multipy exponents)

5^(1/x)=a                           (x*1/x = 1 - the exponent on a)

Now that the equation is solved for a, substitute the left side of the equation into 5/a.  So,

5/a = 5/5^(1/x)             (since the bases are the same, 5, subtract the exponents; note that the exponent in the numerator = 1)

5/a = 5^(1 - 1/x)           (subtract by getting lcd, x)

5/a = 5^((x-1)/x)

Just to show you that this works:  Let a = 25 and x = 1/2.

We know that 5 = a^x = 25^(1/2) = sqrt(25)=5.

Now, 5/a should equal 5/25 = 1/5, so let's plug the numbers into the new expression.

5/a = 5^((.5-1)/.5)   (I'm using .5 instead of 1/2 so it's not so many parentheses.)

Answer:

x=13.0909091

Step-by-step explanation:

Answer: 1 3/7

Step-by-step explanation: x = 144/7

                                              x = 13.09 in decimal form

Mixed fraction form = 3 1/7.

please mark as brainliest!

Answer: y=-1/2x-3.5

Step-by-step explanation: Slope rise 1(up) run 2(left) so it's -1/2. Y-intercept between-3 and -4 so it's -3.5.

Answer: 10,000

Step-by-step explanation:Hope this helps!

Answer:

40

Step-by-step explanation:

200 ÷ 5 = 40.

Answer:

0.08(50h)

Step-by-step explanation:

0.08(50h)+50h=

8/100(50h)+50h=

0.08(50h)+50h

It's 0.08 of 50h, so

0.08(50h)

Answer:

[tex]Five = 31[/tex]

Step-by-step explanation:

Given

[tex]Total = 142[/tex]

[tex]Even = 56[/tex]

[tex]One = 21[/tex]

[tex]Three = 34[/tex]

Required:

Number of times 5 were rolled

Even represents 2, 4 and 6.

So, we have:

[tex]Total = Even + One + Three + Five[/tex]

[tex]142 = 56 + 21 + 34 + Five[/tex]

[tex]142 = 111 + Five[/tex]

Collect Like Terms

[tex]Five = 142 - 111[/tex]

[tex]Five = 31[/tex]

Answer:

43.125

Step-by-step explanation:

Answer: 43.1

Step-by-step explanation: I just used a calculator

Answer:

Assuming to round up to the cent 59.09

Step-by-step explanation:

64.22 x .92 (because of the 8% decrease) = 59.0824 and sense you cant spend part of a cent it has to round up 59.09

The answer is B.14

Step-by-step explanation:

14

Your welcome

Answer: B=14  

Step-by-step explanation:

9 2/3+ 4 1/5= 208/15 rounded to the nearest whole number is 14

Answer:

x=19

Step-by-step explanation:

90-71=19

Answer:

(14, - 3 )

Step-by-step explanation:

Under the translation < 6, 0 >

Add 6 to the x- coordinate and 0 to the y- coordinate, that is

B(8, - 3 ) → B'(8 + 6, - 3 + 0 ) → B'(14, - 3 )

Answer: 30 adult tickets and 7 children's tickets

Answer:

Hexagon

Step-by-step explanation:

it a regular polygons

Step-by-step explanation:

A polygon whose all sides are equal is called a regular polygon . For example -

Square - Regular polygon of four sides .

Regular Pentagon - Regular polygon of five sides.

Regular Hexagon - Regular polygon of six sides .

Regular Heptagon - Regular polygon of seven sides.

Regular Octagon - Regular polygon of eight sides.

Regular Nonagon - Regular polygon of nine sides.

Regular Decagon - Regular polygon of ten sides.

Formula to find the area of regular polygon is :

[tex]\large{\boxed{\red{\bf Area_{polygon}=\dfrac{1}{2}\times(perimeter)\times(apothem)}}}[/tex]

Answer:

the answer is a certain number

Answer:

the answer is a because all the other ones are multiplying a different number

Answer:

the answer is a because you have to put the x after the five.

Step-by-step explanation:

I did this last year in my math class

Answer:

The answer is $6216.66

Step-by-step explanation:

(8*40)+6%*×=$692; 320 + 0.6x = 692; .6×=692-320; 0.6x=373; ×=373÷.6;

x=6216.66

Total earnings= $692

Total hours worked = 40 hours

Earnings per hour = $8

Total hourly earnings = Total hours worked × Earnings per hour

= 40 hours × $8

= $320

Commission earnings = Total earnings - Total hourly earnings

= $692 - $320

= $372

Total amount of her sales for the week = x

6% of x = $372

0.06 × x = 372

0.06x = 372

x = 372 / 0.06

x = $6,200

Therefore, her total amount of her sales for the week is $6,200

Read more:

https://brainly.com/question/11481095

Answer:

Step-by-step explanations:

Answer:

I need help with his question too but I don’t know the answer

Step-by-step explanation:

Answer:

see explanation:

Step-by-step explanation:

We use the property that  (all numbers being positive)

0 < a < b < c  -->  0< a^2 < b^2 < c^2

so:

1 <  2 <   sq(7)   < 3 < 4 <  5            

1 <  4 <  7   < 9 < 16 < 25      

Answer:

-2/3

Step-by-step explanation:

The equation y = -2/3x + 4 is written in the slope-intercept form,

y = mx + b, in which m is the slope. Comparing the form equation with the given equation, we see that m = -2/3.

Answer: slope = -2/3

Answer:

Slope = - 2/3

Step-by-step explanation:

Step 1:

y = mx + b        Slope Intercept Form

Step 2:

m = Slope

Step 3:

y = - 2/3x + 4        Equation

Answer:

Slope = - 2/3

Hope This Helps :)

Answer:

k=41.6

Step-by-step explanation:

What he said lol

Answer:

y=-3x-5

Step-by-step explanation:

6x+2y=-10

2y = -6x-10 (you need to isolate the y and so i took 6x and subtracted it from both sides)

y = -6/2x-10/2 ( dont feel like explaining)

divide them (-6/2 and -10/2) to get

y=-3x-5

Hope i helped

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

There are two methods to get the answer.

The slightly longer method is to take 7% of the original price to get

7% of 1350 = (7/100)*1350 = 0.07*1350 = 94.50

The sales tax is $94.50

Add this onto the original price to get 1,350+94.50 = 1,444.50

----------------------------

A shortcut is to multiply the original price by 1.07

The multiplier 1.07 represents a 7% increase since

So we will have 1.07*1350 = 1,444.50

Answer:

$172.5

Step-by-step explanation:

Store A is defintley better because 6% of sales tax is $72 and $1200 + $71 = $1272 while store B: 7% of $1350 is $94.5 and $1350 + $94.5 = $1444.5. To find out how much you would save by using store A, you would simply subtract it =  $1444.50 - $1272 = $172.5

Answer with step-by-step explanation:

If the ratio for the ingredients is 1:2:3, then the total would be 6. If so, we have to divide 2.1 by 6, which is 0.35. Now, you need to multiply 0.35 to the according ingredient amounts.

Cement: 1 x 0.35 = 0.35

Sand: 2 x 0.35 = 0.70

Quicklime: 3 x 0.35 = 1.05

If you add it up, you will get 2.1, which is the volume.

Hope this helped! (brainliest please)