00:00
Which pair of numbers has a GCF of 8?
8 and 28
16 and 56
32 and 16
40 and 55
How do you get the answer

Answers

Answer 1

Answer:

B. 16 and 56

Step-by-step explanation:

The greatest common factor or GCF, is the highest whole number that is a factor, or that multiplies to get, two or more numbers.

For example, option a, 8 and 28. 8 is a factor of 8, 8 times 1, but 8 is not a factor of 28. 28 divided by 8 will not give you a whole number.

Option c, 32 and 16, both have factors of 8. 4*8 is 32 and 8*2 is 16. This however, is not the gcf, because the true gcf is 16. 16*1 is 16 and 16*2 is 32. 16 will go into both evenly and is the highest number that will do so and is the gcf of that pair

d, 40 and 55, is the same as the first. 8*5 is 40, but 8 will not evenly go into 55 and cannot be a factor.

That leaves you with 16 and 56, the correct option

16 only has 3 factors, 16*1, 8*2, and 4*4, so 16, 8 and 4.

56 has more factors, 28, 14, 8, 7, 4, and 2. Those are the only numbers that multiply together to get 56. The highest number in both those lists is 8, so 8 is the Greatest Common Factor.

Hope this helps, and brainliest is much appreciated! Have an awesome day.


Related Questions

4x-5y=11 and 8x-5y=27

Answers

Answer:

y = -1 , x = 4

Step-by-step explanation:

(4x - 5y = 11) x8

(8x - 5y = 27) x4

32x - 40y = 88

- - -

32x - 20y = 108

[0. 20y = -20] divide both by 20

y = -1

8x - 5y = 27

8x - 5(-1) = 27

8x = 27 + 5

8x = 32 ( divide both by 8)

x = 4

Suppose a subdivision on the southwest side of Denver, Colorado, contains 1,500 houses. The subdivision was built in 1983. A sample of 120 houses is selected randomly and evaluated by an appraiser. If the mean appraised value of a house in this subdivision for all houses is $228,000, with a standard deviation of $8,500, what is the probability that the sample average is greater than $229,500?

Answers

Answer:

0.0268 = 2.68% probability that the sample average is greater than $229,500

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Single house:

The mean appraised value of a house in this subdivision for all houses is $228,000, with a standard deviation of $8,500, which means that [tex]\mu = 228, \sigma = 8.5[/tex]

Sample:

Sample of 120, so, by the central limit theorem, [tex]n = 120, s = \frac{8.5}{\sqrt{120}} = 0.7759[/tex]

What is the probability that the sample average is greater than $229,500?

This is 1 subtracted by the pvalue of Z when X = 229.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{229.5 - 228}{0.7759}[/tex]

[tex]Z = 1.93[/tex]

[tex]Z = 1.93[/tex] has a pvalue of 0.9732

1 - 0.9732 = 0.0268

0.0268 = 2.68% probability that the sample average is greater than $229,500

what is 2x2x2x2+2+2+2divitide by 6

Answers

Answer:

3.6 repeating or 3 and 2/3

Step-by-step explanation:

I did the work on a calculator.

Answer:

f be it is right

Step-by-step explanation:

okay that is it

What type of chart would best be used for continuous data?
Group of answer choices

Pareto chart

Histogram

Dot plot

Pie chart

Answers

histogram charts are best used for continuous data

In a store the number of dogs is 12 times greater than 3 times of cats. If there are 21 dogs in the store, how many cats are in the store?

Answers

Answer:

If you really meant that the number of dogs is 12 greater than 3 times the number of cats then:

3 cats

Step-by-step explanation:

21= number of dogs

c = number of cats

21 = 12 + (3c)

3c = 9

c = 3

Which shape is a trapezoid with only 1 pair of parallel side

Answers

Answer: top green one

Step-by-step explanation:

Quadrilateral

Option (b) is the correct, which shows trapezoid with one pair of parallel lines.

What is trapezoid ?

A trapezoid, also known as a trapezium, is a closed shape having four sides,  in which one pair of lines is parallel.

To show trapezoid with only 1 pair of sides,

Solve with the help of options,

(a) In the given shape, both the pair of sides are parallel.

(b) In the given shape, one side is parallel, and defines the shape of trapezoid.

(c) in the given shape, not any side is parallel to other side.

(d) In the given shape,  both the pair of sides are parallel.

Option (b) is the only option that satisfies the given condition.

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[tex] \sqrt{25} [/tex]
pls help i just want the answer T-T.​

Answers

Answer:

5

Step-by-step explanation:

How many terms are in the expression below?
17 – (5n = 4) + 8%

Answers

Answer: 4

Step-by-step explanation:

(Can someone please answer my math question)

find the sum of (x^2+6x-5)+(2x^2+15)

Answers

Answer:

3x²+6x+10 is your answer

Step-by-step explanation:

(x^2+6x-5)+(2x^2+15)

open bracket

x²+6x-5+2x²+15

add or subtract common

3x²+6x+10

pls guys tell me the answer pls

Answers

Answer:

Height = 7m

Step-by-step explanation:

Hope that helps!

Answer:

7m

Step-by-step explanation:

what is the solution set of x+4/2x-1 <0

Answers

Answer: x=1/3

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

3x−1<0

Step 2: Add 1 to both sides.

3x−1+1<0+1

3x<1

Step 3: Divide both sides by 3.

3x/3 <1/3

x/1/3

What is the slope of the red and blue line

Answers

Answer:

red=-1/4 blue= 4/1

Step-by-step explanation:

rise/run

how to rewrite 6(38) using the distributive property?

Answers

6 x 38 = 6 x ( 19 x 2)
= (6 x 19) + (6 x 2)
= 114 + 12
= 226

if f(x)= x/2-3 and g(x) = 2x^2+x-6, find (f+g)(x)

Answers

Answer:

2x² + 3x/2 - 9

Step-by-step explanation:

(f+g)(x) = f(x) + g(x)

= x/2 - 3 + 2x² + x - 6

= 2x² + x/2 + x -3 -6

= 2x² + 3x/2 - 9

A line passes through the points (-5, 2) and (10,-1). Which is the equation of the line?
o y--3x+1
oys
O y=-5x - 23
O y = 5x + 27

Answers

Answer:

0

Step-by-step explanation:

what happened that 0 ok live bistro 2.52 and 10 1 which is the quality of the line or 3 x + 100 s y if x = 25

The area of a triangle varies jointly with the lengths of its base and height. A triangle with a base of 10 ft and a height of 4 ft has an area of 20 square ft. Find the area of a triangle with a base of 3 ft and a height of 8 ft.

Answers

Answer:

12 square ft

Step-by-step explanation:

base = 3ft. and height = 8ft. area of triangle = 1/2 ×base × height = 1/2 ×3 × 8 = 24 /2 = 12 square ft.

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Given quadrilateral ABCD, find the values for x and y.




x = 4, y = 6


x = 34, y = 56


x = 1067, y = 223


x = 627, y = 1109

Answers

Answer:

x = 4, y = 6

Step-by-step explanation:

Consider the triangle BEC.

∠BEC=112 (vertically opposite angles)

∠EBC=∠ECB (BEC is an isosceles triangle)

All the angles in a triangle add up to 180, so:

∠BEC+∠EBC+∠ECB=180

112+(7x+6)+(7x+6)=180

14x=180-112-6-6

x=56/14=4

Consider the triangle CED

∠CED=68 (lies on a straight line with 112, angles on a straight line add up to 180)

∠EDC=∠ECD (CED is an isosceles triangle)

All the angles in a triangle add up to 180, so:

∠CED+∠EDC+∠ECD=180

68+(9y+2)+(9y+2)=180

18y=180-68-2-2

y=108/y=6

The value of x and y for quadrilateral ABCD is at x = 4 and y = 6. Option A is correct.

What are quadrilaterals?

A closed quadrilateral has four sides, four vertices, and four angles. It is a form of a polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.

Given quadrilateral ABCD,

Consider the ΔBEC.

∠BEC = 112 (vertically opposite angles)

∠EBC=∠ECB

ΔBEC is an isosceles triangle because BE = EC.

the sum of angles of a triangle is 180°,

∠BEC + ∠EBC + ∠ECB = 180°

112 + (7x + 6) + (7x + 6) = 180°

14x = 180 - 112 - 6 - 6

x = 56/14

x = 4

Consider the ΔCED

∠CED = 68

lies on a straight line with 112°, and angles on a straight line add up to 180°.

∠EDC = ∠ECD

ΔCED is an isosceles triangle because DE = CE.

the sum of the angles of a triangle is 180°

∠CED + ∠EDC + ∠ECD = 180°

68 + (9y + 2) + (9y + 2) = 180°

18y = 180 - 68 - 2 - 2

y=108/18

y = 6

Hence values of x = 4 and y = 6.

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what is the area of 5m, 17m, 8m, and 5m, the shape is a kite

Answers

Answer:

It can't be a kite. A kite has 2 pairs of equal sides.

Step-by-step explanation:

Ralph receive money from his family members for his graduation. He decides he wants to spent no more than $120 on movies to bring with him to college.

Answers

What’s the question?

pls help me...........

Answers

Answer:

3,480

Step-by-step explanation:

After 4 years she had to repay 3,480, i did this one before and got it right hope it helped have a nice day!

Correct option :

[tex]\color{plum}\tt\bold{(b) \: \$3480 }[/tex]

Steps to derive correct option :

Money Maria borrowed = $3000

Percentage of simple interest per annum = 4%

Time she took to repay the money she borrowed = 4 years

We know that :

[tex]\color{hotpink}\tt \: Simple \: interest = \color{plum}\frac{principal \times rate \times time}{100} [/tex]

In this case :

Principal = $3000

Rate = 4%

Time = 4 years

Which means. the simple interest :

[tex] = \tt \frac{3000 \times 4 \times 4}{100} [/tex]

[tex] = \tt \frac{48000}{100} [/tex]

[tex]\color{plum} =\tt\$ 480[/tex]

Thus, the interest she has to pay = $480

We know that :

[tex]\color{hotpink}\tt \: Amount \color{plum}= principal + interest[/tex]

Then, the Amount Maria has to pay :

[tex] =\tt 3000 + 480[/tex]

[tex]\color{plum} =\tt \$3480[/tex]

Thus, the amount Maria has to repay after 4 years = $3480

Therefore, the correct option is (b) $3480

Which data set is the most spread from its mean?
14, 26, 24, 28
22, 16, 18, 36
22, 28, 20, 22
21, 19, 27, 25

Answers

Answer:

Tha mean is 23 which means there is no answer:)

14, 26, 24, 28: still 23

22, 16, 18, 36:STILL 23

22, 28, 20, 22: 23

21, 19, 27, 25: STILL 23

Answer:

the answer is B

Step-by-step explanation: each number on a c and d is 7-5 away from 23 but b has 36 which is 13 away from 23 and in all is the farthest plz mark brainlest

<CEB and BED are adjacent angles ehat is the side common to the two angles?​

Answers

Step-by-step explanation:

<CEB and < BED are adjacent angles then

The common side to the two angles is

EB

is 8.2 and 5.15 proportional

Answers

I think so but if I am wrong I am so sorry about that

1.99 ÷ 3 =
2. 125 ÷ 5 =
3. 288 ÷ 36=
4. 540 ÷ 12=
5. 999 ÷ 111=
pls answer ngayon ko na po ito ipapasa explain the answer​

Answers

Hope I helped:)
1. 33
2. 25
3. 8
4. 45
5. 9
1. 33
2. 25
3. 8
4. 45
5. 9

There are more than one answer help me and I give brainilest

Answers

Answer:

Equivalent to a), b), and d). It is NOT equivalent to c).

Step-by-step explanation:

6m + 12 is also equivalent to a) 3(2m+4) because when you distribute, it's 6m + 12. It is also equivalent to b) 3m + 8 + 4 + 3m because if you add them together, you get 6m + 12. It is not equivalent to c) but is do d) 4m + 2(m + 6) cause you use the distributive property then add. I hope this helped and please mark brainliest!

Find the value of x. 7 3
x=

Answers

Step-by-step explanation:

these are your answers anyways you're welcome bye bye

If a man is driving at a rate of 50 km per hour, how many kilometers will he travel in 30 minutes? A. 25 km B. 30 km C. 150 km D. 180 km

Answers

Answer:

A. 25 km

Step-by-step explanation:

1 hour = 60 minutes

30 minutes is a half of an hour, therefore

50 / 2 = 25

Answer:

a, 25km

Step-by-step explanation:

i dont need brainliest but thx

im jamming to rick astley right now its so fun

I need to know how to work fractions word problems like Leon's older brother is 4 3/4 feet tall. Leon is 1/3 foot shorter than his brother. How tall is Leon?

Answers

Answer:

4 5/12 feet tall

Step-by-step explanation:

Find the LCM first. The LCM is the lowest common multiple between the two denominators. The LCM in this problem is 12, so you multiply each fraction until the denominators equal 12

4 3/4 -> 4 9/12

1/3 -> 4/12

Now it's much easier to solve. 4 9/12 - 4/12 = 4 5/12 feet tall

A ray can intersect a circle in __________.

1. a line segment
2. a line
3. a ray
4. a point

Answers

Answer:

a line segment.

Step-by-step explanation:

a line segment

A ray can intersect a circle at points on the circumference. Option D is correct.

What is a circle?

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.

Here,
A ray can intersect a circle at a maximum of two points,
The line which intersects the circle at two points is called the secant to the circle, and the line that intersects the circle at one point is called the tangent two the circle.

Thus, a ray can intersect a circle at points on the circumference. Option D is correct.


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Help please I give brainliest

Answers

Answer:

interest is $105

total is $455

Step-by-step explanation:

350 * .03 = 10.5

10.5*10 = 105

interest is 105

350 +105 = 455

Interest earned: $105

The balance of the account: $455

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