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2 years ago

Dion shares 1/3 cup of nuts equally with his brother.

Mathematics

1 answer:

antiseptic1488 [7]2 years ago

5 0

Each person will get $\frac{1}{6}$ cups of nuts.

Step-by-step explanation:

Given,

Quantity of nuts to share = 1/3 cups of nuts

As Dion will share this with his brother, it means,

1 share of Dion, 1 share of his brother = 2 shares

We will divide the quantity of nuts with 2.

Share of each person = $\frac{1}{3}*\frac{1}{2}$

Share of each person = $\frac{1}{6}$ cups of nuts

Each person will get $\frac{1}{6}$ cups of nuts.

Keywords: fraction, division

Learn more about division at:

#LearnwithBrainly

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Which expression has the same GCF as 15x2 - 21x?

Mice21 [21]

Answer:

$15x^2 +21 x$

Step-by-step explanation:

We have the following expression:

$15x^2 -21 x$

We can find the GCF with the following steps.

1. Find the GCF for the numerical part 15 and -21

The factors for 15 are : 1,3,5,15

The factors for -21 are -21,-7,-3,-1,1,3,7,21

And the common factors are 1,3

The GCF for the numerical part is 3*1 = 3

2. Find the GCF for the variable

The factors of x^2 are : x*x

The factors of x are: x

The common factors are x for this case, so then the GCF for the variable part is x

3. Multiply the two results from steps 1 and 2

GCf= 3*x = 3x

If we consider the new expression:

$15x^2 +21x$

We can find the GCF with the following steps.

1. Find the GCF for the numerical part 15 and -21

The factors for 15 are : 1,3,5,15

The factors for -21 are 1,3,7,21

And the common factors are 1,3

The GCF for the numerical part is 3*1 = 3

2. Find the GCF for the variable

The factors of x^2 are : x*x

The factors of x are: x

The common factors are x for this case, so then the GCF for the variable part is x

3. Multiply the two results from steps 1 and 2

GCf= 3*x = 3x

And as we can see both GCF are equal. So then we satisfy the condition required.

5 0

2 years ago

Read 2 more answers

Mr. Smith had 33 dozen cans. He sold 340 of them at 15$ each. He sold the remaining cans at a discount of 20% each. How much mon

iren2701 [21]

Answer:

Mr. Smith collects $5748 from selling the can.

Step-by-step explanation:

Given total number of cans = $33\times12=396$

Selling price of one can = $15.

$\therefore \textrm{Selling price of 340 cans} = \textrm {selling price of one can} \times \textrm {number of cans}=15\times340=\$5100$

Now remaining number of cans = total number of cans - sold number of cans = $396-340=54$

For remaining number of cans he gives a discount of 20% each,

∴ Selling price of one can = $15-\frac{15\times20}{100}=15-3=12$

∴ Selling price of 54 cans = $\textrm{selling price of one can} \times \textrm{number of cans}=12\times54=\$648$

So total money he earns = $\$5100+\$648= \$5748$ .

Thus Mr. Smith earns $5748 by selling the cans.

3 0

2 years ago

A bridge is rated to a capacity of 100 British tons. What is the maximum weight the bridge can support in kilograms? (Round to t

S_A_V [24]

Maximum weight the bridge can support in kilograms is 101696

Step-by-step explanation:

Step 1: Given capacity of bridge = 100 British tons. Find how many kilograms are equivalent to 1 British ton.

1 British ton = 2240 pounds

1 pound = 0.454 kg

⇒ 1 British ton = 2240 × 0.454 kg = 1016.96 kg

Step 2: Find how many kilograms are in 100 British tons.

⇒ 100 × 1016.96 = 101696

3 0

2 years ago

Terry invested money in a biotech stock whose growth is modeled by the function f(x) = 0.01(2)x, where x represents number of da

strojnjashka [21]

Answer:

The average rate of change is 1.275

Step-by-step explanation:

The average rate of change of f(x) from x=a to x=b is given by:

$\frac{f(b)-f(a)}{b-a}$

The money Terry invested is modeled by the function $f(x)=0.01(2)^x$ where x represents number of days.

The average rate of change from day 2 to day 10 is given by:

$\frac{f(10)-f(2)}{10-2}$

$f(10)=0.01(2)^{10}=10.24$

$f(2)=0.01(2)^{2}=0.04$

The average rate of change becomes:

$\frac{10.24-0.04}{8}$

$=\frac{10.2}{8}=1.275$

3 0

2 years ago

Read 2 more answers

the remains of an ancient ball court include a rectangular playing alley with a perimeter of about 48 M. the length of the alley

Firdavs [7]

Answer:

Length is 20 m and width is 4 m.

Step-by-step explanation:

Given:

Perimeter of the rectangular alley, $P=48\textrm{ m}$

Length is 5 times the width.

Let width be $x$ .

So, as per question,

Length, $l = 5x$

Now, perimeter of rectangle is given as:

$P=2(l+b)$

Plug in 48 for $P$ , $5x$ for $l$ and $x$ for b.

$48=2(5x+x)\\48=2(6x)\\48=12x\\x=\frac{48}{12}=4$

Therefore, width is 4 m.

Length is $5x=5\times 4=20$ m.

8 0

2 years ago