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.
Help please I give brainliest
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
(I just need one more brainliest then I get the rank ACE)
how to rewrite 6(38) using the distributive property?
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.
is 8.2 and 5.15 proportional
find the sum of (x^2+6x-5)+(2x^2+15)
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
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.
Answer:
12 square ftStep-by-step explanation:
base = 3ft. and height = 8ft. area of triangle = 1/2 ×base × height = 1/2 ×3 × 8 = 24 /2 = 12 square ft. MARK ME AS BRAINLISTPLZ FOLLOW MEWhich shape is a trapezoid with only 1 pair of parallel side
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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There are more than one answer help me and I give brainilest
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!
what is the solution set of x+4/2x-1 <0
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
4x-5y=11 and 8x-5y=27
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
pls guys tell me the answer pls
Answer:
Height = 7m
Step-by-step explanation:
Hope that helps!
Answer:
7m
Step-by-step explanation:
How many terms are in the expression below?
17 – (5n = 4) + 8%
Answer: 4
Step-by-step explanation:
(Can someone please answer my math question)
Find the value of x. 7 3
x=
Step-by-step explanation:
these are your answers anyways you're welcome bye bye
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
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
what is 2x2x2x2+2+2+2divitide by 6
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
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?
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
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
if f(x)= x/2-3 and g(x) = 2x^2+x-6, find (f+g)(x)
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
What is the slope of the red and blue line
Answer:
red=-1/4 blue= 4/1
Step-by-step explanation:
rise/run
[tex] \sqrt{25} [/tex]
pls help i just want the answer T-T.
Answer:
5
Step-by-step explanation:
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
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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<CEB and BED are adjacent angles ehat is the side common to the two angles?
Step-by-step explanation:
<CEB and < BED are adjacent angles then
The common side to the two angles is
EB
A ray can intersect a circle in __________.
1. a line segment
2. a line
3. a ray
4. a point
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.
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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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?
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
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
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
pls help me...........
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!
[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
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
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
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?
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
what is the area of 5m, 17m, 8m, and 5m, the shape is a kite
Answer:
It can't be a kite. A kite has 2 pairs of equal sides.
Step-by-step explanation:
What type of chart would best be used for continuous data?
Group of answer choices
Pareto chart
Histogram
Dot plot
Pie chart