find the greatest common factor (GCF) OF each pair of number using continuous division


1.15 and 30

2.Cassandra is creating individual servings of dessert.She has 16 pili nut candies and 24 chocolates. If she wants each serving to be indentical with no food left over what is the greatest number of servings Cassandra can create.

Answer:

(x+3)(y+2)

Step-by-step explanation:

(xy+2x)+(3y+6)

x(y+2)+3(y+2)

(x+3)(y+2)

Answer:

the answer shows in the picture, sorry, I tried to type it but it would come out different.

Step-by-step explanation:

10,000 = 10x10x10x10 = 10 4. Notice that the exponent of the ten is simply the number of the zeros.

Hope this helped:)

The large number 10,000 written as a power of 10 as 10⁴.

The given large number is 10000.

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.56×10⁷.

Here, the number 10000 can be written as 10⁴.

Therefore, the number 10,000 written as a power of 10 as 10⁴.

To learn more about the Scientific notation visit:

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Answer:

4-5 ounces or 113-142 grams

Step-by-step explanation:

Answer:

(a) 1.0792 x 10³

(b) 3.769 x 10³

(c) 9.985 x 10³

This should be the answer to the problems, the rounding part got me confused for a second.

Significant digits are numbers after the decimal that aren't 0. So the 1.0792, the 0 isn't a significant digit.

Answer:

x-intercepts: (-6,0) and (2,0)

y-intercepts: (0,-12)

Minimum value at x = -2

Answer:

Approximately [tex]12.9\; \rm km \cdot h^{-1}[/tex], assuming that this orbit is circular.

Step-by-step explanation:

The question is asking for a tangential velocity with the unit [tex]\rm km \cdot h^{-1}[/tex]. The unit of the given distance is already in [tex]\rm km[/tex] as required. Convert the unit of the orbital period to hours:

[tex]\begin{aligned}T &= 1230\; \text{day} \times \frac{24\; \rm h}{1\; \text{day}}. = 29520\; \rm h\end{aligned}[/tex].

Calculate the angular velocity [tex]\omega[/tex] of this planet from its orbital period:

[tex]\begin{aligned}\omega &= \frac{2\, \pi}{T} \\ &= \frac{2\, \pi}{29520\; \rm h} \approx 2.1285 \times 10^{-4}\; \rm h^{-1}\end{aligned}[/tex].

Given the radius [tex]r[/tex] of the orbit of this planet, the tangential velocity [tex]v_{\perp}[/tex] of this planet would be:

[tex]\begin{aligned}v_{\perp} &= \omega\, r \\ &\approx 2.1285 \times 10^{-4}\; \rm h^{-1} \times 2.22\times 10^{7}\; \rm km \\ &\approx 4.73 \times 10^{3}\; \rm km \cdot h^{-1}\end{aligned}[/tex].

If the orbit of this planet is circular, the velocity of the planet would be equal to its tangential velocity: [tex]4.73\times 10^{3}\; \rm km \cdot h^{-1}[/tex].

Based on the amount of juice needed for 6 guests, the amount of juice Larry will need for 26 guests is A. 196 ounces.

First find out the amount of juice a single guest will need:

= Quantity of juice / Number of guests

= 45 / 6

= 7.5 ounces

If a guest needs 7.5 ounces, 26 guests would need:

= 25 x 7.5

= 195 ounces

In conclusion, 196 ounces of juice is needed.

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Answer:

x = -4

Step-by-step explanation:

2x=-2+10

-2=8

x=-4

Answer:

3x-18+8=5x-2

3x-10=5x-2

3x-5x=-2+10

-2x=8

X=-4

Step-by-step explanation:

Have a great day

Answer:

1,000

Step-by-step explanation:

Answer:

∠ H = 22.5°, ∠ I = 45° , ∡ J = 112.5°

Step-by-step explanation:

The 3 angles in a triangle sum to 180° , then

x + 2x + 5x = 180 , that is

8x = 180 ( divide both sides by 8 )

x = 22.5

Then

∠ H = x = 22.5°

∠ I = 2x = 2 × 22.5° = 45°

∠ J = 5x = 5 × 22.5° = 112.5°

Answer:

0.855

Step-by-step explanation:

Answer:

Step-by-step explanation:

The first zero in the tenth region

The second zero is in the hundreds region

The 8 is in the 1/1000 so look to the next digit.

It is a 5

So round 1 digit in the thousands higher.

Answer: 0.009

They are doing the calculations, we can say that the alternatives are:

A) True

B) False

C) False

D) False

E) True

For this exercise, the equation should be used:

[tex]A(t)=-1.4t+96[/tex]

So analyzing the first given statement we will have to:

[tex]A(t)=-1.4t+96\\t=10\\A(t)=-14+96=82[/tex]

Based on the calculations, this statement is true, for the second statement we will have:

[tex]A(t)=-1.4t+96\\t=15\\A(t)=-21+96=75[/tex]

From the calculations this statement is false, so for the alternative we will have:

[tex]A(t)=-1.4t+96\\t=55\\A(t)=-77+96=19[/tex]

From the calculations this statement is false, so for the alternative we will have:

[tex]A(t)=-1.4t+96\\t=0\\A(t)=96[/tex]

Based on the calculations, this statement is true.

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Answer:

Step-by-step explanation:

1) A number g multiplied by 4

2) Product of 4 and g

3) 4 times g

Answer:

The most she can spend on each blank shirt is $5.50.

Step-by-step explanation:

In order to set up the inequality, we need to write an expression for the total cost of each shirt wherein the price of each blank shirt is "x". Tina needs to buy 12 shirts and there is an additional charge of $2.75 for each logo. The total cost needs to be less than or equal to $99.

This gives us 12 * (x + 2.75) ≤ 99

We can then distribute:

12x + 12 * 2.75 ≤ 99

12x + 33 ≤ 99

Then subtract 33 from both sides:

12x ≤ 66

And finally divide by 12 on both sides:

x ≤ 5.5

Answer:

Step-by-step explanation:

12x + 2.75*12 < 99             Combine 12 * 2.75

12x + 33 < 99                     Subtract 33 from both sides

12x < 99 - 33                      Combine

12x <66                               Dive by 12

x < 66/12

x < 5.50

The very most she can spend is 5.50 on each shirt. Actually it should be 5.49 which will be less than 99. It will come to 65.88 which is just 12 cents less than 99, but it answers the problem. The problem does not use less than or equal which would mean that 99 is the answer ≤

Answer:

angle 1 = 45° because vertical angles

angle 2 = 135° because supplementary angles

Step-by-step explanation:

∠1 = ∠a, ∠a = 45°

∠2 + ∠a (45°) = 180°

180° - 45° = 135°

Answer:

Angle 1= 45 degrees, angel 2= 135

Step-by-step explanation:

you know that line b has a 45 degree angle on a 180 total, so to find angle 1 you just move the 45 as they are the same, to find angle b you substract 45 from 180 getting 135

Yan po correct me if im wrong po.. Salamat po...

Answer: C

Step-by-step explanation: 10 times 1/2

Answer:

C. 5 Pounds

Step-by-step explanation:

Total of 10 friends divide that by 2 you get five so you would do 5 times to would be 10 (sorry if i explained that weirdly)

Answer:

4 = a

5 = a

hope this answer helps you dear!

Answer:

The answer is ( 5×p) + 8 = 23

Here's your required answer!

a) Five times p = 5p

________________________________

Answer:

which kind?

Step-by-step explanation:

We have -4(x - 6) + 3(a - 7) = -4x + 24 + 3a - 21 = -4a + 3a + 3

so the answer is B

ok done. Thank to me :>

Answer: reasoning

Step-by-step explanation:

Answer:

nearest whole number would be 340816

Answer:

340,816

Hope this helps :)

Answer: Neither is greater, they are perfectly equal. Or If it's a trick question, 0.375

Step-by-step explanation:

3 divided by 8 equals 0.375, no rounding or anything. I'm not sure if it is more of a trick, brain melting question, then in that case 0.375 because I suppose it could be a rounded number that represents numbers such as 0.3751, 0.3752, etc.

Answer: 6, 12,24,30,36

Step-by-step explanation:

Hope this helps! :)

Answer:

First divide 3 on both sides to get x by itself, now you have x < -2.

Step-by-step explanation:

Hope this helps :)

Answer:

1. Solving for x. Want to solve for y instead?

1 Subtract yy from both sides.

4x=11-y

4x=11−y

2 Divide both sides by 44.

x=\frac{11-y}{4}

x=

4

11−y

Answer:

3

Step-by-step explanation: