MATHEMATICS MIDDLE SCHOOL

Am artist build a sculpture out of metal and wood that weighs 14.9 kilograms.3/4 of this weight is metal, and the rat is wood. How much does the wood part of the sculpture weigh?

Answers

Answer 1

Answer:

¹/₄ part or 3.725 kilograms

Further explanation

Given:

An artist builds a sculpture out of metal and wood that weighs 14.9 kilograms,

³/₄ of this weight is metal, and
the rest is wood.

Question:

How much does the wood part of the sculpture weighs?

The Process:

From the information above, we make a diagram that matches the composition of the sculpture material.

$\boxed{metal}\boxed{metal}\boxed{metal}\boxed{wood} = 14.9 \ kilograms$

³/₄ of this weight is metal, and
the rest is wood, which is $\boxed{ \ 1 - (3)/(4) = (1)/(4) \ }$ .

And now, let us calculate the wood part of the sculpture weighs.

$\boxed{ \ = (1)/(4) * 14.9 \ kilograms \ }$

Both 4 and 14.9 are multiplied by 10.

$\boxed{ \ = (1)/(40) * 149 \ kilograms \ }$

$\boxed{ \ = (149)/(40) \ kilograms \ }$

Both the numerator and denominator are divided by 4.

$\boxed{ \ = (37.25)/(10) \ kilograms \ }$

$\boxed{ \ = (3,725)/(1,000) \ kilograms \ }$

$\boxed{\boxed{ \ 3.725 \ kilograms \ }}$

Thus, the wood part of the sculpture weighs is 3.725 kilograms or ¹/₄ part.

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Keywords: an artist, builds a sculpture, out of metal and wood, that weighs 14.9 kilograms, 3/4, metal, the rest is wood, how much, the wood part, of the sculpture weighs

Answer 2

Answer: we know that 3/4 of the full weight is from metal. That means that the metal weighs 14.9 * (3/4) or 14.9 * (0.75) = 11.175kg. The wood is just this value subtracted from 14.9 thus our final answer is: 14.900 - 11.175 = 3.725.

Note: Even though the question never says to round, the actual answer might be:
14.9 - 11.2 = 3.7kg since 11.175kg is approximately 11.2kg. Also, 3.725 is approximately 3.7kg.

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In times what equals 28,21,60,48,24,45

Answers

I would say 1 but I feel like that wouldn't help you and that's all I know, plus I don't want to look it up because of the policy. I wanna help tho, so that's all I'm gonna say (please don't get mad at me)

28 - 7x4, 2x14, 4x7, 14x2
21 - 7x3
60 - 2x30, 3x20, 5x12, 6x10, 12x5, 20x3, 30x2
48 - 2x24, 3x16, 4x12, 6x8, 8x6, 12x4, 16x3, 24x2
24 - 2x12, 3x8, 4x6, 6x4, 8x3, 12x2
45 - 3x15, 5x9, 9x5, 15x3

Lisa's recipe for 6 dozen cookies has 3/4 cup of butter and 1 1/2 cups of sugar. How much butter does she need to make only 3 dozen cookies?

Answers

Dozen = 12
6 Dozen = 12 * 6 = 72 <- Irrelevant but useful information

3 dozen is half of 6 dozen, so we just half the recipe!
3/4 cup of butter = 3/8 cups (doubling the denominator is the same as halving)
1 1/2 cups of sugar (3/2 cups) = 3/4 cups

She needs 3/8 cups of butter, and a 3/4 cup of sugar

Please give me brainliest answer if I helped! I need it for my next rank :D

This is basic alegbra, you set up a proportions equations with dozen of cookies over butter. 6/ 3/4 equals 3/x. You cross multiply, 6x equals 2 1/4. You divide 6 on both sides of the equation to isolate x, the variable. 2 1/4 divided by 6 equals 0.375. The answer is 0.375 cups of butter

The owner of a video game store creates the expression −2x2 + 24x + 174 to represent the store's weekly profit in dollars, where x represents the price of a new video game. Choose the equivalent expression that reveals the video game price that produces the highest weekly profit, and use it to determine the price.−2(x2 − 12x) + 174; x = $12
−2(x2 − 12x − 87); x = $87
−2(x − 6)2 + 246; x = $246
−2(x − 6)2 + 246; x = $6

Answers

Answer:

$-2(x-6)^2+246$ , x = $6

Step-by-step explanation:

The expression $-2x^2+24x+174$ to represent the store's weekly profit in dollars, where x represents the price of a new video game.

Let $f(x)=-2x^2+24x+174$

We need to rewrite this quadratic function in the vertex form.

$f(x)=-2(x^2-12x)+174$

$f(x)=-2(x^2-12x+36)--2(36)+174$

$f(x)=-2(x^2-12x+36)+72+174$

$f(x)=-2(x-6)^2+246$

The equivalent expression that reveals the video game price that produces the highest weekly profit is $-2(x-6)^2+246$

and the price is $6

Answer:

-2(x-6)^2+246; x=$6

Hope it helps!

Louisa needs 3 liters of lemonade and punch for a picnic she has 1800 milliliters of lemonade. How much punch does she need explain how you found your answer

Answers

Louisa needs 1.2 liters or 1200 milliliters of lemonade/punch for the picnic.

In a liter, there are 1000 milliliters
In 3 liters, there are 3000 milliliters
Therefore, we can set up an equation to represent how much milliliters Louisa needs.
$3000-1800$
Solve the equation and you should get 1200 milliliters.*

*If you need the number in liters, divide 1200 by 1000 and you should get 1.2 liters

Jay and Blair went fishing together they caught 27 fish. Jay caught 2 times as many fish as Blair. How many fish did Jay and Blair each catch? write an equation and solve. Explain your work

Answers

Blair caught 9 fish, and Jay caught 18 fish out of 27 fish. By using the two equations.

Let's assume the number of fish Blair caught is represented by the variable "B". Since Jay caught 2 times as many fish as Blair, the number of fish Jay caught can be represented by the variable "J" as 2B.

According to the given information, Jay and Blair caught a total of 27 fish. We can write this as an equation:

B + J = 27

Substituting the values for J and B in terms of each other:

B + 2B = 27

Combining like terms:

3B = 27

Now, we can solve the equation for B by dividing both sides by 3:

B = 27 / 3

B = 9

So, Blair caught 9 fish.

To find the number of fish Jay caught, we substitute the value of B back into the equation:

J = 2B

J = 2(9)

J = 18

Therefore, Jay caught 18 fish. In conclusion, Blair caught 9 fish, and Jay caught 18 fish.

To know more about an expression follow

brainly.com/question/1959166

#SPJ6

the answer is 18 because 27 minus 18 is 9 and 9 is 2x less

What is 270qt:105 gal in simplest form

Answers

Answer:

187 hope this helps!

Step-by-step explanation:

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