If Julie needs 3 1/4 cups of oatmeal, how many 1/4 cups of oatmeal will she use?

Answers

Answer 1

Answer: The answer is thirteen
1 cup=4 one fourths
3 cups=12 one fourths
Add one more one fourth

Answer 2

Answer: 3 1/4 divided by 1/4= 13
there is (4) 1/4 cups in 1 cup

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Solve: −5(x + 6) = 15
An angle that measures 82° is bisected. What is the measure of each resulting angle?A)38° and 44° B)40° and 42° C)41° and 41° D)42° and 42°

What is the surface area of a prism that is 9in 3in 13in

Answers

Surface area is (3*13)*2+ (3*9)*2+(9*13)*2 = 366 in 2

The width of a garden is (4x-1) feet and the length is 2x feet. Find the perimeter of the garden.

Answers

perimiter=2(L+W)
L=2x
W=4x-1
P=2(2x+4x-1)
P=2(6x-1)
P=12x-2

Which of the following equations have exactly one solution?Choose all answers that apply:
~
A) 6x – 6 = 15x + 15
B) 6x – 15 = 6x +15
C) 6x – 6 = 6x + 15
D) 6x + 15 = 6x + 15

Answers

Final answer:

By assessing each equation, we deduce that the only equation that has exactly one solution among the ones given is equation A (6x – 6 = 15x + 15). Equations B (6x – 15 = 6x +15) and C (6x – 6 = 6x + 15) have no solutions, and equation D (6x + 15 = 6x + 15) has infinitely many solutions.

Explanation:

Solution to an equation is the value of variable that satisfies the equation or makes the equation true. Let's examine the given equations one by one:

A) 6x – 6 = 15x + 15: If we simplify this equation by moving all the terms involving x to one side and the constants to the other, we get: 9x = -21, which gives x = -21/9 or -7/3, hence this equation has exactly one solution .

B) 6x – 15 = 6x +15: In this case, if we subtract 6x from both sides, we get -15 = 15, which is not true, hence this equation has no solution.

C) 6x – 6 = 6x + 15: Again, if we subtract 6x from both sides, we get -6 = 15, which is not true, hence this equation again has no solution.

D) 6x + 15 = 6x + 15: For this equation, it stands true for any value of x, therefore this equation has infinitely many solutions.

So, out of the given options, only the equation A has exactly one solution.

Learn more about Solution to an equation here:

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How would you replace 27/50 with the nearest half or whole number without using a number line?

Answers

25/50 = 1/2 soooooooooooooooooooooooooooooooooo

Suppose a laboratory has a 38 g sample of polonium-210. The half-life of polonium-210 is about 138 days. How many half-lives of polonium-210 occur in 1104 days? How much polonium is in the sample 1104 days later?9 ; 0.07 g
8 ; 2,2622 g
8 ; 4.75 g
8 ; 0.15 g

Answers

To find the number of half lives divide the total number of days by the number of days for 1 half live:

1104 / 138 = 8

There are 8 half lives.

To find the total amount left multiply the starting amount by 1/2 to the 8th power:

38 * 0.5^8 = 0.148 = 0.15 grams

The answer is the last one.

Answer:

D. 8; 0.15 g

Step-by-step explanation:

We have been given that a a laboratory has a 38 g sample of polonium-210. The half-life of polonium-210 is about 138 days.

To find the half-lives of polonium-210, we will divide 1104 by 138.

$\text{Number of half lives}=\frac{\text{Total days}}{\text{Half-life}}$

$\text{Number of half lives}=(1104)/(138)$

$\text{Number of half lives}=8$

Therefore, there are 8 half-lives will occur in 1104 days.

$A=a\cdot ((1)/(2))^{(t)/(h)}$

$A=38\text{ g}\cdot (0.5)^{(1104)/(138)}$

$A=38\text{ g}\cdot (0.5)^(8)$

$A=38\text{ g}\cdot 0.00390625$

$A=0.1484375\text{ g}$

$A\approx 0.15\text{ g}$

Therefore, 0.15 gm of the polonium will be left after 1104 days.

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

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

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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