2. The ratio of chocolate to vanilla ice cream is 3 scoops to 7 scoops. If there
are 147 scoops of vanilla ice cream, how many total scoops are there?

The stacked boxes would be 2.72 feet tall

The height of the stacked box is the sum of the lengths of the two boxes

1 4/11 is a mixed number and it has to be converted to a decimal

A mixed number is a number that has a whole number and a proper fraction.

A proper fraction is a fraction is which the numerator is less than the denominator.

The whole number is 1 and the proper fraction is 4/11

To convert to a decimal, divide the numerator by the denominator. Add this number to the whole number

4/11 = 0.36

1 + 0.36 = 1.36 feet

Height of the stacked boxes = 1.36 + 1.36 = 2.72 feet

To learn more about decimals, please check:

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Answer:

Kala must score 20 points in her fifth game.

Step-by-step explanation:

The mean or average of a set is given by:

[tex]\displaystyle \overline{x} = \frac{\text{sum of data values}}{\text{number of data values}}[/tex]

(Note: the symbol used to denote the mean is known as "x-bar.")

We want to find the points (let the unknown value be a) Kala needs to score in her fifth game such that her average score is 21 points per game.

In other words, her total score so far plus a all over five (five games in total) must equal 21:

[tex]\displaystyle (21) = \frac{(18) + (22) + (19) + (26) + a}{5}[/tex]

Solve for a. Multiply and combine like terms:

[tex]\displaystyle 105 = 85 + a[/tex]

Subtract. Hence:

[tex]a = 20 \text{ points}[/tex]

In conclusion, Kala must score 20 points in her fifth game.

Answer:

Answer :-

We know that

Average = Sum of observation/Total observation

Let the unknown observation be x

18 + 22 + 19 + 26 + x/5 = 21

85 + x/5 = 21

85 + x = 21 × 5

85 + x = 105

x = 105 - 85

x = 20

Answer:

1/32 people responded for Tampa.

Step-by-step explanation:

Answer:

-53

Step-by-step explanation:

-25-32-14-14+45-13

=53

Answer:

ANS IS -53

AS +45 &-45 WILL GET CANCELLED

AND -14-14-25 WILL GET ADDED

THAT IS -53

Answer:

x = 8

length is 12 meters

width is 9 meters

Step-by-step explanation:

P = 2l + 2w

where l is the length and w is the width.

(There are two sides with the same length, and two sides with the same width.)

Let l = x + 4 and w = 2x - 7

so 2(x+4) + 2(2x-7) = 42

Distribute the 2s

2x + 8 + 4x - 14 = 42

Combine like terms

2x + 4x + 8 - 14 = 42

Group

6x - 6 = 42

Add 6 to both sides

6x = 48

Divide 6 on both sides

x = 8

Plug back in

l = 8 + 4 = 12 meters

and w = 2(8) - 7 = 16 - 7 = 9 meters

Double-check: 2 * 12 + 2 * 9 = 24 + 18 = 42

Answer:

w=-2

Step-by-step explanation:

9(w-4)-7w=5(3w-2)

9w-36-7w=15w-10

9w-7w-15w=-10+36

-13w=26

w=-2

Answer:

Step-by-step explanation:

Given,

8(3v+3w-2)

(By distributive property)

= 8 × 3v + 8 × 3w - 8 × 2

= 24v + 24w - 16 (Ans)

Answer:

24v + 24w - 16

Step-by-step explanation:

Given

8(3v + 3w - 2) ← multiply each term in the parenthesis by 8

= 24v + 24w - 16

Answer:

x = 11

Step-by-step explanation:

These angles are alternate exterior angles which means they are equal to each other:

5x + 9 = 6x - 2

5x - 6x = -2 - 9

-x = -11

x = 11

Answer:

A: 113.04in^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2 where r is the radius

We know the diameter is 12 inches so the radius is 1/2 the diameter

r = 1/2 d =1/2(12) = 6inches

A = (3.14) (6)^2

A = 113.04 in ^2

Hi ;-)

[tex]\frac{v}{6}>11 \ \ /\cdot6\\\\\frac{6v}{6}>66\\\\v>66\\\\\huge\boxed{v\in(66;+\infty)}[/tex]

Answer:

721.

Step-by-step explanation:

The total number must be a multiple of 7

One less than the number is the LCM of 2 3 4 5 6 and 8.

The LCM is worked out as follows

2

3

4 = 2*2

5

6 = 2*3

8 = 2*2*2

LCM = 2*2*2* 3*5 = 120

But 121 is not divisible by 7 so it must be a multiple of 120 + 1 which is divisible by 7.

240 + 1 = 241 - not divisible by 7

480 + 1  = 481 - not divisible by 7

720 + 1 = 721

721/7 = 103

Answer:

Step-by-step explanation:

Let say n the number of pennies in the jar.

n is a multiple of 7 : n=7*k

n-1 is a multiple of 2,3,4,5,6,8 so a multiple of the lcm= 120

n-1=120*t

n-1=120*t

n=7*k

120*t=7k-1

7k=120*t+1

[tex]k=\dfrac{120*t+1}{7}\\k=17*t+\dfrac{t+1}{7}\\t=6+7*a\\k=17*(6+7a)+\frac{6+7*a+1}{7} =102+119*a+1+a=103+120*a\\n=7*k=7*(103+120*a)=721+840a\\\\[/tex]

The least number of pennies is 721 (when a=0)

Proof:

n-1=720

720/2=360

720/3=240

720/4=180

720/5=144

720/8=90

721/7=103

Answer:

-4,0

Step-by-step explanation:

Moving up 5 units means moving 5 positive units in the y axis.

-5 + 5 = 0.

Therefore, you end up in (-4,0)

Answer:

13:9 with 9 being unshaded

Step-by-step explanation:

i drew a similar grid, shaded them in in the way you specified, then counted the squares on either side. the i put the numbers in a fraction and simplified

Answer:

x = 2

Step-by-step explanation:

Distribute the 1/2 on the left side to each term

1/2 * 10x + 1/2 * 4 = 12

Now multiplication first before addition on the left side.

5x + 2 = 12

Subtract 2 on both sides

5x = 10

Divide by 5 on both sides

x = 2

Check work

1/2(10(2) + 4) = 12

1/2(20 + 4) = 12

1/2 * 24 = 12

24/2 = 12 = 12

Answer:

x=15 y=3

Both (4x+10y) and (6x) equal 90 degrees, as angle 4x+10y is vertical to a 90 degree right angle, and angle 6x is directly  beneath the right angle, making it equivalent. To find x, you simply do 90/6, which is 15, meaning x=15. Now plug in that into 4x+10y=90, which will make it 60+10y=90. Subtract 60 from 90, and divide the difference, 30, by 10, giving you 3, thus showing that y=3. You can double check by plugging in the x and y values.

Answer:

The one on the middle left.

Explanation:

x goes infinitely in the positive direction.

y does not show any sign of not going infinitely positively or negatively.

Answer:

gcfcfud g fhhfhchgdjchfhfhgfhhufxyvhcj v hxhcnchchdfhvhdnfjc

Answer:

212205

Step-by-step explanation:

Well each letter is a number of a alaphabet

Since, 1 gallon = 3.78541 liters

Therefore, 20 gallons = 75.7082 liters

That means amount of gasoline in the gas tank is 20 gallons or 75.7082 liters.

It's given in the question that E15 gasoline contains 15% of alcohol.

Therefore, amount of alcohol in the gas tank = 15% of 75.7082

                                                                           = 11.35623

                                                                           ≈ 11.36 liters

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Amount of total Alcohol in liters is 11.355 liter.

Given:

Amount of total gas solution = 20 gallon

Amount of Alcohol in total gas = 15%

Find:

Amount of total Alcohol in liters

Computation:

1 Gallon = 3.785 liter (Approx.)

Amount of total gas solution in liter = 20 × 3.785

Amount of total gas solution in liter = 75.7 liter (Approx.)

Amount of total Alcohol in liters = Amount of total gas solution in liter × Amount of Alcohol in total gas

Amount of total Alcohol in liters = 75.7 × 15%

Amount of total Alcohol in liters = 75.7 × 0.15

Amount of total Alcohol in liters = 11.355 liter (Approx.)

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Answer:

4

Step-by-step explanation:

64 = 4 × 4 × 4 = 4³ , then

[tex]\sqrt[3]{4^3}[/tex]

= 4

Answer:

[tex]h=\displaystyle \frac{3V}{\pi r^2}+1[/tex]

Step-by-step explanation:

Hi there!

[tex]V=\displaystyle\frac{1}{3} \pi r^2(h-1)[/tex]

Divide both sides by [tex]\displaystyle\frac{1}{3} \pi r^2[/tex]:

[tex]\displaystyle \frac{V}{\displaystyle\frac{1}{3} \pi r^2}=(h-1)[/tex]

[tex]\displaystyle \frac{3V}{\pi r^2}=h-1[/tex]

Add 1 to both sides:

[tex]\displaystyle \frac{3V}{\pi r^2}+1=h[/tex]

I hope this helps!

→20 lb tank: 18” tall and 12” in diameter. Holds 5 gallons of propane. ...

→33 lb tank: 2 feet tall and 1 foot in diameter. Holds 8 gallons of propane. ...

→100 lb tank: 4 feet tall and 18” diameter. ...

→420 lb tank: 4 feet tall by 3 feet diameter. ...

→500 gallon tank: 5 feet tall by 10 feet long.

Hope this helps ^_^  

Answer: f(10) = 290

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given expression

f(x) = 3x² - x

Substitute values into the expression

f(10) = 3(10)² - (10)

Simplify exponents

f(10) = 3(100) - (10)

Simplify by multiplication

f(10) = 300 - 10

Simplify by subtraction

f(10) = [tex]\boxed{290}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

B/16

Step-by-step explanation:

if the rotor is spinning 80 reveloutions every 12 seconds and, a minute is 60 seconds

12 divided by 60 = 0.2

0.2 times 80 = 16.

hope this helped

Answer:

The choose 3.

[tex]f(x) = 0.5(0.2^{x} )[/tex]

f(1)=0.5 (0.2¹) = 0.5×0.2= 0.1

f(2)=0.5(0.2²)=0.5×0.04=0.020

I hope I helped you^_^

Answer:

Step-by-step explanation:

I have attached.

Step-by-step explanation:

the answer is in the image above

Answer:

Step-by-step explanation:

There is a possible issue in your question...

As written it can be interpreted in two ways

like this #1 :

 [tex]5^{2x} = 3(2^x)[/tex]

or like this #2 :

  [tex]5^2x = 3(2^x)[/tex]

VERSION #1

divide by the 2^x

[tex]\frac{5^{2x} }{2^x} = 3[/tex]

to be able to get to the exponent you have to take "logs"

... look up the rules for logs ... log(ab) = log (a)+log(b) , log(a/b) = log(a)-log(b) etc.

if you take the logs of both sides the using the quotient rule and the exponent rule ....result the result is...

[tex]5^{2x}=3\left(2^x\right)\quad :\quad x=\frac{\ln \left(3\right)}{2\ln \left(5\right)-\ln \left(2\right)}\quad \left(\mathrm{Decimal}:\quad x=0.43496\dots \right)[/tex]

VERSION #2

[tex]5^2x\:=\:3\left(2^x\right)[/tex]

25 x = 3(2^x)

[tex]\frac{25}{3} = \frac{2^{x} }{x}[/tex]

This gets really nasty, and I assume that it is not the original problem..

[tex]x=-\frac{\text{W}_{-1}\left(-\frac{3\ln \left(2\right)}{25}\right)}{\ln \left(2\right)},\:x=-\frac{\text{W}_0\left(-\frac{3\ln \left(2\right)}{25}\right)}{\ln \left(2\right)}\quad \mathrm{ }:\quad x=5.52482 ,\:x=0.13144[/tex]

Answer: 8.1 × 10¹⁰

Concept:

When multiplying exponents, add the exponents together.

When dividing exponents, subtract the exponents.

Solve:

Given expression

(3 × 10⁶) × (2.7 × 10⁴)

Put like terms together

=3 × 2.7 × 10⁶ × 10⁴

Combine like terms

=8.1 × 10⁶⁺⁴

=[tex]\boxed{8.1*10^{10}}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

8.1 x 10^10

Step-by-step explanation:

When you do this type of problem you want to combine the like terms together, in this case is this.

3 × 2.7 × 10⁶ × 10⁴. So you will get.        

8.1 x 10⁶⁺⁴

Which is 8.1 x 10^10 simplified