A large container has a maximum capacity of 64 ounces. The container is filled with 8 ounces less than its maximum capacity. Answer parts a and b.
a. To what percent of its capacity is the large container filed?
The container is filled to % of the maximum capacity.

Given:

4/5 of a pie left after their family picnic.

Each slice of pie was 1/15 of the total pie.

To find:

The number of remaining slices of pie.

Solution:

Let x be the number of remaining slices of pie.

Part of total pie in one slice = [tex]\dfrac{1}{15}[/tex]

Remaining part of total pie in x slices = [tex]\dfrac{1}{15}x[/tex]

According to the question, 4/5 of a pie left after their family picnic.

[tex]\dfrac{1}{15}x=\dfrac{4}{5}[/tex]

Using cross multiplication, we get

[tex]5\times x=15\times 4[/tex]

[tex]5x=60[/tex]

Divide both sides by 5.

[tex]x=12[/tex]

Therefore, the remaining number of slices of pie is 12.

Answer:

1/6

Step-by-step explanation:

Answer: x=70

Step-by-step explanation:

Given:

Consider the three points are A(-1,1), B(1,-2) and C(0,-4).

These points rotated 270 degrees by the origin.

To find:

The coordinates of points after rotation.

Solution:

If a figure rotated 270 degrees by the origin, then

[tex](x,y)\to (y,-x)[/tex]

Using this rule of transformation, we get

[tex]A(-1,1)\to A'(1,1)[/tex]

[tex]B(1,-2)\to B'(-2,-1)[/tex]

[tex]C(0,-4)\to C'(-4,0)[/tex]

Therefore, the points after rotation are A'(1,1), B'(-2,-1) and C(-4,0).

Answer:

76.666. . . and 112.9032258064516

Step-by-step explanation:

Answer: 15.28

Step-by-step explanation:

The expected value for the age of a randomly chosen student is,

⇒ 15.28

Given that:

Total number of students,

⇒ n = 1500,

And, Age : 13, 14, 15, 16, 17, 18

Probability : 0.01, 0.25, 0.27, 0.30, 0.16, 0.01

Now,

We can Calculate the expected value as shown below,

E = 13 × 0.01 + 14 × 0.25 + 15 × 0.27 + 16 × 0.30 + 17 × 0.16 + 18 × 0.01

E = 0.13 + 3.5 + 4.05 + 4.8 + 2. 72 + 0.18

E = 15.38

Therefore, The expected value for the age of a randomly chosen student is 15.38.

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Answer:

The product will be less than the second factor.

Step-by-step explanation:

Given the expression

[tex]\frac{4}{5}\:\times \:1\frac{2}{5}\:=y[/tex]

solving to determine the product value

[tex]y=\:\frac{4}{5}\times \:\:1\frac{2}{5}[/tex]

  [tex]=\frac{4}{5}\times \frac{7}{5}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]

  [tex]=\frac{4\times \:7}{5\times \:5}[/tex]

  [tex]=\frac{28}{5\times \:5}[/tex]

  [tex]=\frac{28}{25}[/tex]

As the value of the second factor is:

[tex]1\frac{2}{5}=\frac{7}{5}=1.4[/tex]

And the product value is:

[tex]y=\frac{28}{25}=1.12[/tex]

It is clear that the product value 'y = 1.12' is lesser than the second factor value '1.4'.

i.e. 1.12 < 1.4

Thus, the product will be less than the second factor.

Answer:

B. $254

Step-by-step explanation:

Flat Fee: $30    

Cost per hour: $28

Customer 1: 3(28) + 30 = 114

Customer 2: 5(28) + 30 = 170

Customer 3: 8(28) + 30 = 254

Answer:

600 cards

Step-by-step explanation:

30*20= 600

Answer:

30 packs of cards

Step-by-step explanation:

You literally answered your own question "Angela has 30 packs of Pokémon cards"

Now if your wanting to know how many cards she has it would be 600 because 30 * 20 = 600

or if you wanted you could do it this way:

2 * 3 = 6

10 * 10 = 100

6 * 100 = 600

Answer:

No the relation is not a function

Step-by-step explanation:

This is because there are 2 x factors that have the value of 15. (15,8) and (15,2)

in order to make this a function you would have to change the one of the x factor of the 2 ratios:

(15,8) and (15,2)

Answer: 15

Step-by-step explanation:

i think maybe 15..........................              

Answer:

14.47

Step-by-step explanation:

Answer:

6.7

Step-by-step explanation:

Answer:

The common factors for 4,8 are −4,−2,−1,1,2,4 - 4 , - 2 , - 1 , 1 , 2 , 4 .

Step-by-step explanation:

There ya go, mate.

The greatest common factor of the expression 4x + 8 will be 4.

The Highest Common Factor (HCF) of two numbers is the highest possible number that is divisible by both numbers.

In other words, the highest common factor is the common factor between the two numbers but it should be the highest among all common factors.

As per the given expression,

4x + 8

The highest number that can be take common in the above expression is 4 as,

4(2x + 2)

Thus, 4 will be the GCF.

Hence "The greatest common factor of the expression 4x + 8 will be 4".

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Answer:

the answer is 10

Step-by-step explanation:

Answer: 50%

Step-by-step explanation:

(6000-4000)/4000= 2000/4000

=2/4=1/2

(1/2)100=50

Answer: there isn’t a graph shown

Step-by-step explanation:

Answer:

0.0021

Step-by-step explanation:

0.007 x 0.3= 0.0021

Answer:

m=25

Step-by-step explanation:

100/4

Answer:

110

Step-by-step explanation:

Answer:

5 is the coefficient

Step-by-step explanation:

Answer:

40.63

Step-by-step explanation:

8.7% of 467 is 40.629 but rounds to 40.63

Answer:

D. $40.63

Step-by-step explanation:

8.7% of $467 = 0.087 × 467 = $40.629

40.629 rounds up to $40.63

Answer:

b = -80

Step-by-step explanation:

-16 = 0.2b

-16/0.2 = b

-80 = b

Answer:

4 units

Step-by-step explanation:

Answer:3/4

Step-by-step “ time/ distance?

Answer:

Yep

Step-by-step explanation: