Find the perimeter of the rectangle. The drawing is not to scale.
29 ft
66 ft

Answer:

The weigth of the three heavy balls is 35.1 pounds.

Step-by-step explanation:

In order to solve this problem we will call the weigth of the light ball by "l" and the weigth of the heavy ball by "h". The total weigth of the six balls is 52.65 pounds, so we have:

3*l + 3*h = 52.65

We know that the weigth of the heavy ball is twice the weight of the light ball, so we have:

h = 2*l

We can use this value on the equation to solve for "l". We have:

3*l + 3*(2*l) = 52.65

3*l + 6*l = 52.65

9*l = 52.65

l = 52.65/9 = 5.85 pounds

h = 2*l = 2*5.85 = 11.7 pounds

3*h = 35.1 pounds

The weigth of the three heavy balls is 35.1 pounds.

Final answer:

The weight of a light bowling ball is approximately 5.85 pounds. The weight of a heavy bowling ball is approximately 11.7 pounds.

Explanation:

The total weight of the 6 bowling balls is 52.65 pounds. Let's represent the weight of a light bowling ball as x pounds. Since the weight of a heavy bowling ball is twice that of a light bowling ball, the weight of a heavy bowling ball is 2x pounds. So we can set up the equation:

3x + 3(2x) = 52.65

Simplify and solve for x:

3x + 6x = 52.65

9x = 52.65

x = 52.65/9

x = 5.85

The weight of a light bowling ball is approximately 5.85 pounds. The weight of a heavy bowling ball is twice that, which is approximately 11.7 pounds.

Answer: They won 22 gold, 18 silver and 12 bronze.

Step-by-step explanation: Suppose gold is g, silver is s and bronze is b.

The number of silver was 6 less than twice of bronze: s = 2b - 6

Gold was 4 more than silver: g = s + 4

Total is 52: g + s + b = 52

We have 3 equations and 3 variables. To determine each one:

s = 2b - 6 (1)

g = s + 4 (2)

g + s + b =52 (3)

Substitute (1) in (2):

g = 4 + 2b - 6

g = 2b - 2 (4)

Using (1) and (4), substitute in (3)

2b - 2 +2b - 6 + b = 52

5b = 52+8

b= [tex]\frac{60}{5}[/tex]

b = 12

With b, we find s:

s = 2.12 - 6

s = 18

With s, we find g:

g = 4 + 18

g = 22

Therefore, the team won 22 gold, 18 silver and 12 bronze.

Answer:

Gold : 22 medals , Silver : 18 medals, Bronze : 12 medals

Step-by-step explanation:

Solution:-

- Denote the total number of medals won by USA, T = 52

- The number of bronze medals = x

- The number of silver medals = y

- The number of gold medals = z

- We are given that number of silver medals (y) was 6 ​fewer (less)​ than twice the number of bronze medals (x). So the mathematical representation of this observation would be:

                                  y = 2x - 6  

- Similarly, the number of gold medals (z) was ​four more than​ the number of silver medals (y).  So the mathematical representation of this observation would be:

                                 z = y + 4

- The total number of medals T:

                                T = x + y + z

- We have 3 equations and 3 unknowns. Solve the equations simultaneously,

                                z = 2x - 6 + 4 = 2x - 2

                                T = x + ( 2x - 6 ) + ( 2x - 2)

                                52 = 5x - 8

                                5x = 60

                                x = 12 bronze medals

                                z = 2x - 2

                                z = 2*12 - 2

                                z = 22 gold medals

                                z = y + 4

                               y = 22 - 4

                               y = 18 silver medals

Answer:

Machine A=504 parts in 12h

Machine B=564 parts in 10 h

Step-by-step explanation:

please find the attached picture for steps

Answer:

Part A is 504

Part B is 564.7

Step-by-step explanation:

Rates given

A=7 parts every 10 minutes

We know its 1 hour for every 60 minutes

12 hr x 60 min\1 hr is 720 minutes

720 min times 7 part divide by 10 minutes is 504 parts

B= 16 parts every 17 minutes

10 hr times 60 min divide by 1 hour is 600 minutes

600 min times 16 parts divide by 17 minutes is 564.7 parts

Answer:

34 weeks

Step-by-step explanation:

450* 10% (0.10) = 45

1500/45 = 33.333

But you need to round up, so 34 weeks

The value of [tex]\(10^2 - 4^3\)[/tex] is [tex]\(6^2\)[/tex], equivalent to 36.

To solve this expression, first, let's calculate each part:

[tex]$10^2 = 10 \times 10 = 100$[/tex]

[tex]$4^3 = 4 \times 4 \times 4 = 64$[/tex]

Now, we can substitute these values into the expression:

[tex]$10^2 - 4^3 = 100 - 64 = 36$[/tex]

Now, we need to express 36 as a power of 6. We can see that [tex]$36 = 6^2$[/tex], so:

[tex]$36 = 6^2$[/tex]

Therefore, the value of [tex]$10^2 - 4^3$[/tex] as a power of 6 is [tex]$6^2$[/tex]

Answer:

392

Step-by-step explanation:

round 0.499 up to 0.5, then divide 196 by 0.5 and your answer is 392.

Answer:

i believe it to be 16. Im not sure though

Step-by-step explanation:

Answer: 18pi unit squared

Step-by-step explanation:

Area of a circle = πr2

Radius of Circle G= 3units

Area of circle G= πr2

= π (3×3)

= 9π unit squared

Maria draws a circle with double the area of circle G. This will be:

2 × 9π

= 18π2

= 18pi unit squared

Answer:

18*pi units squared.

Step-by-step explanation:

The area of a circle can be calculated with the following formula:

Area = pi * r^2

Where r is the radius.

The circle G have a radius of 3 units, so its area is:

Area1 = pi * r^2 = pi * 3^2 = 9*pi

If the circle that Maria draws has double the area, so her circle have a area of:

Area2 = 2 * Area1 = 2*9*pi = 18*pi units squared.

Answer:

the answer is 21

Step-by-step explanation:

.

Answer:

21 is correct, & for some reason my answer was deleted... so strange, am I right ?

Complete Question: Check the file attached to this document to see the complete question

Answer:

P(X < 7) = 0.76

Step-by-step explanation:

Counting properly from the diagram attached to the question,

number of trials it took her to make less than 7 shots(i.e. 0 to 6 shots) = 38

The total number of trials she made = 50

Probability that it takes fewer than 7 shots to get her first successful shot, P(X < 7) = (number of trials it took to make less than 7 shots)/(Total number of trials)

P(X < 7) = 38/50

P(X < 7) = 0.76

Answer:

0.76

Step-by-step explanation:

Answer:

2313

Step-by-step explanation:

Answer:

x = -22

Step-by-step explanation:

2(5– x)3 – 11 = 151

(10 - 2x)3 - 11 = 151

30 - 6x = 162

-6x = 132

x = -22

Answer:

Diameter of circle is 9 units.

Answer:

2 x radius

Step-by-step explanation:

Answer:

4000

Step-by-step explanation:

this can be found by using the equation

1600/x = 40/100

cross multiply

40x = 160000

simplify

x= 4000

To find the total number of visitors the art museum had in the month, divide 1,600 by 0.4.

To find the total number of visitors the art museum had in the month, we can use the given information. We know that 1,600 visitors represents 40% of the total number of visitors for the month. To find the total number of visitors, we can set up the following equation:

1,600 = 0.4 * total number of visitors

To solve for the total number of visitors, we divide both sides of the equation by 0.4:

total number of visitors = 1,600 / 0.4 = 4,000

Therefore, the art museum had a total of 4,000 visitors that month.

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Answer:

The number of correct answers most likely is 3

Step-by-step explanation:

A Dot Plot is a histogram form of chart used to represent small amount of data  in which the values are small discrete countable variables. It is a graphical display of data using dots and graph like scales to show count (relationships) within a group or a category.

Here from the box plot, we have that the number with the highest frequency is 3. Therefore, the number of correct answers most likely is 3.

Answer:

Thursday.

Step-by-step explanation:

We have that the first day of Alex's trip was a Monday, that is to say that the next Monday will be obtained by adding 7 to the previous numbers.

1 + 7 = 8

8 + 7 = 15

15 + 7 = 22

22 + 7 = 29

29 + 7 = 36

We have that the 36th is a Monday, therefore:

37, Tuesday

38, Wednesday

39, Thursday

In other words, the 39th would be Thursday.

Answer: if you’re talking about the one on edge it’s:

3.1

4.2

5.2

42

Step-by-step explanation:

The cones are congruent so just copy the other cone and find the radius (dividing the diameter by 2)

Answer:

The answer to your question is 5

Step-by-step explanation:

Rate of change of a linear function is the slope of the function.

To find the answer:

1.- Find two points of the line

A = (2, 4)

B = (1, -1)

2.- Write the formula of the slope

     m = (y2 - y1) / (x2 - x1)

3.- Identify the values of x1, y1, x2 and y2

       x1 = 2   y1 = 4  x2 = 1  y2 = -1

4.- Substitution

     m = (-1 - 4) / (1 - 2)

5.- Simplification

     m = -5/-1

6.- Result

     m = 5

Answer:

8.54

Step-by-step explanation:

3*3=9

8*8=64

9+64=73

Square root of 73= 8.54

Answer: [tex]n=4[/tex]

Simplify both sides of the equation

[tex]\frac{1}{2}n+-10=-8\\\frac{1}{2}n-10=-8[/tex]

Add 10 to both sides

[tex]\frac{1}{2}n-10+10=-8+10\\\frac{1}{2}n=2[/tex]

Multiply both sides by 2

[tex]2*(\frac{1}{2}n)=2*2\\n=4[/tex]

Answer:

[tex]n = 4[/tex]

Step-by-step explanation:

[tex] \frac{n}{2} - 10 = - 8 \\ \frac{n}{2} = - 8 + 10 \\ 2 \times \frac{n}{2} = 2 \times 2 \\ n = 4[/tex]

hope this helps you....

Answer and Step-by-step explanation:

You are correct in that we need to use the Law of Sines: [tex]\frac{c}{sinC} =\frac{b}{sinB}=\frac{a}{sinA}[/tex].

Here, when we use the Law of Sines, we have: [tex]\frac{28}{sin(63)}=\frac{29}{sinB}[/tex].

Cross multiply:

(sinB) * 28 = (sin63) * 29

28sinB ≈ 25.839

sinB ≈ 0.9228

Now, in order to solve for B, we need to use inverse sin ([tex]sin^{-1}[/tex]):

[tex]sin^{-1}(sinB)=sin^{-1}(0.9228)[/tex]

The sines on the left cancel out, and we're left with:

B ≈ 67.3 degrees

Now, one thing to keep in mind when doing Law of Sines is that there is potentially more than one answer possible for the degree measure. The other degree measure can be found by subtracting this one from 180:

180 - 67.3 = 112.7 degrees.

Hope this helps!

Answer:

67.3° , 112.7°

Step-by-step explanation:

sinx = 0.9228

Take inverse of sin, you get:

x = 67.3389176683

Since sin is positive in first two quadrants, second angle is:

180 - 67.3389176683

= 112.6610823317

Answer:

each ticket costed $9.33

Step-by-step explanation:

36 - 8 = 28

28 divided by 3 = 9.33

If Sam and her 3 friends each bought a ticket at the movie theater, and they also bought a large tub of popcorn to share for $8. If the total cost was $36 then $9.3 is the cost of each ticket.

Two or more expressions with an Equal sign is called as Equation.

Given,

Sam and her 3 friends each bought a ticket at the movie theater,

They bought a large tub of popcorn to share for $8.

Total cost was $36.

We have to find the cost of each ticket.

Let us remove 8 from the cost 36.

Thirty six minus eight equal to twenty eight.

36-8 = 28

Let us divide twenty eight by three because there are three friends

28/3=9.30

Hence if Sam and her 3 friends each bought a ticket at the movie theater, and they also bought a large tub of popcorn to share for $8. If the total cost was $36 then $9.3 is the cost of each ticket.

To learn more on Equation:

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Answer:

24 cracks will be filled

Step-by-step explanation:

Here, the first question asks how to convert 3 pounds to ounces.

we can do this using a mathematical approach. To convert pounds to ounces, we need to know that there are 16 ounces in a pound. so to convert pounds to ounces, we just need to multiply the number of pounds we have by 16 to get the equivalent number of ounces.

The second question asks to give the number of cracks that be repaired.

From the question, we were made to know that each of the cracks would eat up 2 pounds of cement to be filled.

Let’s calculate the amount of cement we have. That would be 3 * 16 = 48 ounces of cement.

The amount of cracks to be filled is thus 48 ounces/2 ounces = 24 cracks

Step-by-step explanation:

-6 + 7 = 2x

1 =2x

If you have to find the value of x then

1/2 = x

Answer: A

Step-by-step explanation:

Took quiz

Answer:

The correct answer is A on edg

Step-by-step explanation:

To calculate a decimal multiplier to decrease a quantity by a certain percentage, subtract the percentage you want to decrease by from 100% and then convert to a decimal. For a 3.4% decrease, the decimal multiplier is 0.966.

The decimal multiplier to decrease a quantity by 3.4% can be calculated by subtracting the percentage decrease from 100%, then converting into decimal form. Therefore, 100% - 3.4% gives us a remainder of 96.6%. This is the amount we want to remain after the decrease. Convert this to a decimal multiplier by dividing by 100, i.e., 96.6% ÷ 100 = 0.966. Thus, the decimal multiplier to decrease by 3.4% is 0.966.

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Answer:

Step-by-step explanation:

hello :

two equations have no real number solution :

x²+1=0 : bcause  x²= - 1   false  x²≥ 0

4x²+100 =0 : because x² = -25  false  x²≥ 0

The functions that have no real solutions include the given equations.

The functions that have no real number solutions in the given equations are:

For these equations, the solutions are complex numbers or no solution at all. In the first equation, there are no real solutions, while the others have complex solutions. For example, the second equation has solutions x = ±3i, where i is the imaginary unit.

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