Harley and Natalie are each given 2 1/3 kg of clay Harley makes as many balls of clay as he can from his clay. Each ball weighs 1/6 kg. Natalie makes ten more clay balls than Harley (each weighing the same).

If Natalie used up all her clay, how much does each of her clay balls weigh?

Answer:

B, E, F

Step-by-step explanation:

If the system has infinite solutions, then the 2 equations will be identical.

So we are looking for an equation, which, when simplified or rearranged or multiplied by a constant, will be the same as the given equation [tex]4x-6y=12[/tex]

If we multiply equation A by 2 we get: 4x + 6y = 12

This is not the same as the original equation since the operation sign is addition rather than subtraction.

If we divide equation B by 5 we get:  4x - 6y = 12

This is identical to the original equation, and therefore could be the second equation.

Equation C: y = (2/3)x + 12

Multiply by 3:  3y = 2x + 36

Multiply by 2:  6y = 4x + 72

Rearrange:  4x - 6y = -72

If we divide equation D by 1.5 we get: 4x - (8/3)y = 8

Equation E:  y = (2/3)x - 2

Multiply by 3:  3y = 2x - 6

Multiply by 2:  6y = 4x - 12

Rearrange:  4x - 6y = 12

This is identical to the original equation, and therefore could be the second equation.

Equation F:  3y = 2x - 6

Multiply by 2:  6y = 4x - 12

Rearrange:  4x - 6y = 12

This is identical to the original equation, and therefore could be the second equation.

Using proportions, it is found that the biologist should be expected to find 6 hairless chimpanzees in the troop.

A proportion is a fraction of a total amount.

In this problem, the mean of each sample is as follows: 3%, 5% and 4%.

Hence, from all samples, the mean should be expected to be of:

(3% + 5% + 4%)/3 = 4%.

Out of 150 chimpanzees:

0.04 x 150 = 6.

The biologist should be expected to find 6 hairless chimpanzees in the troop.

More can be learned about proportions at https://brainly.com/question/24372153

answer: 55

Step-by-step explanation:

angle apg is eqal to angle pgr (being alternate angles)

x + pgr is equal to 120 (exterior angle of a triangle is equal to opposite interior angle)

Solution:

Let "E" denote the top right angle. (Refer to image). Then ∠E and ∠R are a linear pair.

⇒ ∠E + ∠R = 180

⇒ ∠E + 120 = 180

⇒ ∠E = 180 - 120

⇒ ∠E = 60°

Line AB forms a straight line which is a measure of 180°.

⇒ 65 + ∠E + x = 180

⇒ 65 + 60 + x = 180

⇒ 125 + x = 180

⇒ 125 - 125 + x = 180 - 125

⇒ ∠x = 55°

The number of bottles requires to pour the water into is gotten by dividing the total capacity of water by the capacity of the bottle

Answer = 10 bottles

Given Data

Let us find the number of bottle required

No of bottles = Total Capacity of the two bottle/Capacity of the small bottles

No of bottles =  51/5

No of bottles =10.2

10 approx.

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Answer:

Less

Step-by-step explanation:

Working with the information provided, we are to determine whether Cameron obtained via exchange more or less on his second trip to Canada. While the time frame for this would help, it's likely that it isn't offered to you, so I'm going to try and simplify.

He would receive less, as the inflation rate in America is higher than in Canada, meaning U.S dollars depreciate in value faster.

Answer:

you can find a radius through its volume and height. Multiply the volume by 3. For example, the volume is 20. Multiplying 20 by 3 equals 60

Step-by-step explanat                      

I hope to help you

By using relation between metre and kilometre we got that if The distance from home to the history museum is six and seven-tenths kilometres then he travel 67000 m

What is relation between metre and kilometre?

Relation between  metre and kilometre is that 1 kilometre =1000 metre

we know that kilometre and metre are two units of distance and we can convert data from one to another using their relation

Now here given distance is in kilometre

and distance is67 kilometre

We can convert 67 kilometre  in metre as

67 kilometre = 67 [tex]\times[/tex]1000metre

67 kilometre = 67000 metre =67000 m

By using relation between metre and kilometre we got that if The distance from home to the history museum is six and seven-tenths kilometres then he travel 67000 m

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Answer:  ( B ) (6,700)

Step-by-step explanation:

i checked the question on my quick check

Answer:

C. 104

Step-by-step explanation:

First, translate 69 1/3 feet to inches. 69 1/3 * 12 = 832.

Because the lightbulbs are 8 inches apart, we can divide 832 by 8 to get 104.

Answer:

621200 mg

1.36664 Lb

Step-by-step explanation:

Given;

Cullinan diamond weighed 3106 carats.

1 Carat - 0.2 grams

Question to Answer;

How much does the diamond weigh in milligrams/pounds?

Solve;

Since 1 carat = 0.2 grams

1g = 1000 mg

1g = 0.0022 lb

Thus,

3106 ct = 0.2 * 3106g = 6212g

621.2g = 621.2 * 1000 mg = 621200 mg

621.2g = 621.2 * 0.0022 lb = 1.36664 lb

[RevyBreeze]

Answer:

-1/ 9 i think?

sooo my original answer was this, but i thought of the "five more" wrong

its actually different

check the person below please ignore my answer!

Step-by-step explanation:

5 + 9x = 4 i think

then to solve you subtract 5 on both sides

9x = -1

x = -1/9

Answer:

5 > x+9= 4

OR

5(x + 9) = 4

Step-by-step explanation:

I did the first one for if you are doing inequalities

The second one is if it is a normal equation, in which would be that answer.

Please mark as Brainliest!!

Answer:

1/3

Step-by-step explanation:

Read

Answer:

y = -3x - 4

Step-by-step explanation:

x - y - 2 = 4x + 2

x - y - 2 + y = 4x + 2 + y

x - 2 = 4x + 2 + y

x - 2 - 4x - 2 = 4x + 2 + y - 4x - 2

-3x - 4 = y

so y = -3x - 4

Answer:

  y = -3x -4

Step-by-step explanation:

Any "solve for" problem involves inverse operations. You want to "undo" what has been done to the variable of interest. Generally, we're undoing multiplication or addition.

__

It can help to simplify the equation first:

  x -(y +2) = 2(2x +1)

 x -y -2 = 4x +2 . . . . eliminate parentheses using the distributive property

To get y by itself, we can undo the addition of (x -2) by subtracting that from both sides.

  -y = (4x +2) -(x -2)

  -y = 3x +4

To "undo" the multiplication of y by -1, we can multiply by the reciprocal of that, which is -1.

  (-y)(-1) = (-1)(3x +4)

  y = -3x -4

__

Additional comment

Here, we simplified the equation first. That's not always necessary or desirable. The first step is to look at what you have and make a plan. Here, y is in parentheses, so part of the plan will be to eliminate those parentheses.

Answer:

The answer is 144

The value of x from the given equation is 144. Therefore, option C is the correct answer.

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

The given expression is [tex](x^{\frac{1}{8} })(x^{\frac{3}{8} })[/tex].

Using exponent formula aⁿ×aˣ=aⁿ⁺ˣ we get

[tex](x^{\frac{1}{8} })(x^{\frac{3}{8} })[/tex] = [tex]x^{\frac{1}{8} +\frac{3}{8} }[/tex]

= [tex]x^{\frac{4}{8}}[/tex]

= [tex]x^{\frac{1}{2}}[/tex]

The simplified expression is equal to 12.

So, [tex]x^{\frac{1}{2}}[/tex]=12

Squaring on both side, we get

x=12²

x=144

Therefore, option C is the correct answer.

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The scale factor that the company used was 0.028

Given the following parameters

Area of truck wheel = 32411 square inches

Area of the truck after scaling = 911 square inches

The formula for finding the scale factor will be;

k = final area/original area

k = 911/32411
k = 0.028

Hence the scale factor that the company used was 0.028

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Answer:

Three Methods: substitution, elimination, and graphing.

Step-by-step explanation:

Graphing: To find the solution of a system of equations on a graph, you find the point of intersection of the two lines.

Elimination:

Substitution:

Answer:

67x+23=344

collecting like terms

67x=344-23

67x=321

making x the subject of the formula

x=321/67

x=4.79

approximately

x=5

Make me the brainliest

Answer:

Step-by-step explanation:

1. What is the theoretical probability that a coin toss results in two heads showing?

25%

2. What is the experimental probability that a coin toss results in two heads showing?

50%

3. What is the theoretical probability that a coin toss results in two tails showing

0.5%

4.  What is the experimental probability that a coin toss results in two tails showing?

25%

5. What is the theoretical probability that a coin toss results in one head and one tail showing?

0.5

6. What is the experimental probability that a coin toss results in one head and one tail showing?

0.5

7. Compare the theoretical probabilities to your experimental probabilities. Why might there be a difference?

0.5

There you go. Remember you can figure these answers out by yourself if you really try. From now on ill be answering questions and trying to help other people. Please read from your lessons as they can help you a lot, Thank you.

Answer:

Each student ticket costs $8.33

Each adult ticket costs $15.34

Step-by-step explanation:

At Niagra High, Mr. Borton bought 4 student tickets and 2 adult tickets for the high school musical which cost $64. then Mrs. Gelvoria bought 3 student tickets and 3 adult tickets for the show and it cost her $72. How much are each type of tickets?​

s = cost of each student ticket

a = cost of adult ticket

Our system of equations:

4s + 2a = 64

3s + 3a = 71

-3(4s + 2a = 64) ==> -12s - 6a = -192

2(3s + 3a = 71) ==>     6s + 6a = 142

-12s - 6a = -192

  6s + 6a = 142

-6s = -50

/-6      /-6

s = $8.33 (the cost of each student ticket)

Now, let's find the cost of each adult ticket:

4s + 2a = 64

4(8.33) + 2a = 64

33.32 + 2a = 64

-33.32         -33.32

2a = 30.68

/2        /2

a = 15.34 (the cost of each adult ticket)

(x, y) ==> (8.33, 15.34)

Check your answer:

4s + 2a = 64

4(8.33) + 2(15.34) = 64

33.32 + 30.68 = 64

64 = 64

This statement is true

Hope this helps!

Answer:

28-14[tex]\sqrt{3}[/tex]

Step-by-step explanation: Step 1[tex]\frac{14(2-\sqrt{3}) }{(2+\sqrt{3})(2-\sqrt{3}) }[/tex] Step 2 [tex]\frac{14(2-\sqrt{3}) }{1}[/tex] ANSWER = 28-14[tex]\sqrt{3}[/tex]

Answer:

B

Step-by-step explanation:

0.06 is the same as 6 divided by 100. To divide, you would multiply by its reciprocal which is [tex]\frac{1}{100}[/tex]. 0.154 is the same as 154 divided by 1000. To divide, you would multiply by its reciprocal which is [tex]\frac{1}{1000}[/tex].

So, (0.06) * (0.154) is the same as [tex]\frac{6}{100}[/tex] * [tex]\frac{154}{1000}[/tex] or 6 * [tex]\frac{1}{100}[/tex] * 154 * [tex]\frac{1}{1000}[/tex]

Answer: B, C, D, and E.

Step-by-step explanation: When you solve the expression, you get the value 0.00924. So far, E is one of the correct answers, because it is exactly the same as the value of (0.06) x (0.154). When you solve answer A, you get 0.924, so that isn't one of the answers. When you solve answer B, you get 0.00924. When you solve answer C, you get 0.00924, which is another possible answer. When you solve answer D, you get 0.00924. So you pretty much select every answer but A.

Hope this helps! :)

No, because if you do -17/-40 you would get a positive answer of 0.425 and it would not equal -0.425.

Answer:

what gas station I presume is the answer

Answer:

x = -9

Step-by-step explanation:

First rearrange the terms.

-6x - 6x +3 = 111

Add like terms

-12x + 3 = 111

Subtract 3 from both sides

-12x = 108

Divide -12 on both sides

x = -9

Answer:

wheres the graph? picture?

Step-by-step explanation:

Answer:

Sally's team found 50 balls

Step-by-step explanation:

300 balls are hidden.

300x30%x40%

=36 balls are yellow

Sally's team finds 20% of 36 and 80% of the white balls (300x30%-36).

20%x36+80%x(300x30%-36)

=7 (approximately or else they would've found 7.2 yellow balls) +80%x(90-36)

=7+43 (approximately)

=50

[tex]hyx^{2} =bx^{2} +hx^{2}[/tex]First you get the length PX

secondly you use the sine rule a\sin A= b\sin B=c\sin C

hence hy = 30

you take 30\sin 90=18\X

cross multiply

sin 90 × 18 = 30×X

sin 90 = 1

1×18=30X

18\30=30X\30

0.6=X

then sin~1 0.6

answer 36.8699 as angle p

then get cos 36.8699

Answer:

c ≈ 26.39 yd

Step-by-step explanation:

    The circumference of a circle can be found by multiplying the radius by 2 by pi or by multiplying the diameter by pi.

-> Since they give us the radius, I will use the more-known equation of 2πr

[Given]

c = 2πr

[Plug-in the value of r]

c = 2π(4.2 yd)

[Simplify]

c = 8.4yd * π

[Multiply]

c ≈ 26.39 yd

Answer:

When f(x) = 0, there will be two 'x' values. The point where the graph crosses the positive x-axis represents the point where the cannon hits the earth.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Area of a parallelogram = base times height.

The base is 14 and the height is 3, you just have to rotate the figure.

A = 14 * 3 = 42 square feet