Answer:
The greatest common factor (GCF) of these two monomials is [tex]16\, a[/tex].
Step-by-step explanation:
Rewrite [tex]32\, a[/tex] and [tex]48\, a[/tex] as the products of the variable [tex]a[/tex] and and prime number factors:
[tex]32\, a = 2 \times 2 \times 2 \times 2 \times 2 \times a = 2^{5}\times a[/tex] (where [tex]2[/tex] is a prime factor.)[tex]48\, a = 2 \times 2\times 2 \times 2 \times 3\times a = 2^{4}\times 3\times a[/tex] (where [tex]2[/tex] and [tex]3[/tex] are both prime factors.)Write an expression for the GCF of these two monomials in terms of these factors ([tex]2[/tex]'s, [tex]3[/tex], and [tex]a[/tex].) Try to include as many of each factor as possible, as long as the resulting product is present in both monomials.
For example, there are five factor [tex]2[/tex]'s in the first monomial but only four in the second monomial. Therefore, include the factor [tex]2\![/tex] in the GCF for only four times.
The factor [tex]a[/tex] appeared once in both monomials. Hence, include [tex]a\![/tex] for one in the expression for the GCF.
On the other hand, the factor [tex]3[/tex] is found in the second monomial but not in the first. Therefore, this factor should not be included in the expression for the GCF.
Therefore, the expression for the GCF would be:
[tex]2 \times 2\times 2\times 2 \times a = 16\, a[/tex].
Chuck is taking his kids to the store to buy new converse shoes. he is given a choice of high tops or low tops. They may also choose from the colors red, gray, black, or pink.
What is the probability that his kids will choose a low top shoe that is gray or pink?
A. 1/4
B. 1/2
C. 1/3
D. 3/4
Answer:
B. 1/2
Step-by-step explanation:
The kids are given 4 options (grey, pink, red, black)
pink and grey are 2 options out of the 4 so 2/4
or 1/2 probability that they will choose the grey or pink shoes
plz mark me brainliest
1.
Ginger works at the local putt-putt golf course. Her
weekly wages, y, are $7.25 per hour, x, she works.
Which equation best represents this relationship?
Answer: The equation that best represent this relationship is y=7.25x
Step-by-step explanation:
I don't know if I'm right or not. I think it's C, but I'm not too sure.
Answer:
its c
Step-by-step explanation:
Answer:
Ya its c
Step-by-step explanation:
It's correct u can cliuck or do it without any fear best of luck
I Need help pls!
What is 75% of 800?
A; 9 3/8
B; 10.66
Answer:
it's 600
Step-by-step explanation:
that's not an option there but...
10% of 800 is 80
5% of 800 is 40
80 × 7 = 560
560 + 40 = 600
the ratio of strawberries to grapes in the fruit salad is 3:9. the ratios of strawberries to honey dew is 6:14. if there 36 grapes. how many strawberries?
Answer:
12 strawberries
Step-by-step explanation:
Represent strawberry with S, grape with G and honeydew with H
Given
[tex]S : G = 3 : 9[/tex]
S : H = 6 : 14
Required
Solve for S when G = 36
To do this, we make use of the first ratio
[tex]S : G = 3 : 9[/tex]
Substitute 36 for G
[tex]S : 36 = 3 : 9[/tex]
Convert to fractions
[tex]\frac{S}{36} = \frac{3}{9}[/tex]
[tex]\frac{S}{36} = \frac{1}{3}[/tex]
Multiply both sides by 36
[tex]36 * \frac{S}{36} = \frac{1}{3} * 36[/tex]
[tex]S = \frac{1}{3} * 36[/tex]
[tex]S = \frac{36}{3}[/tex]
[tex]S = 12[/tex]
Hence, there are 12 strawberries
translate into mathematical phrase.the weight (w) is more than 2kg
Answer:
w>2kg
Step-by-step explanation:
the weight is greater than 2kg.
Find the value of x. Show your work, congruent triangles
Answer:
x = 12
Step-by-step explanation:
130 + y = 180 {linear pair}
y = 180 - 130
y = 50°
3x - 6 +8x + 4 + 50 = 180 {Angle sum property of triangle}
3x + 8x - 6 + 4 + 50 = 180 {Combine like terms}
11x + 48 = 180
11x = 180 - 48
11x = 132
x = 132/11
x = 12°
Shiloh needs to randomly select one of the six days between Sunday and Friday. Which simulation tools could she use in this situation?
((( MULTIPLE ANSWERS))
A-a spinner divided evenly into 12 sections, with each section a different color
B-two coins
C-a six-sided number cube
D-a bag containing 12 chips in two different colors, with six of each color
E-two full suits from a standard deck of cards
Answer:
The correct answer is C. She could use a six-sided number cube.
Step-by-step explanation:
Since Shiloh has 6 options from which to choose a unique alternative, it can be stated that her eligibility ratio is 1/6. Thus, since the dice has 6 numbers and only 1 will come up face up, the option of the dice is the most appropriate to make her decision.
On the other hand, the other options do not contemplate 6 possibilities but 12, 2, 12 and 13 possibilities respectively, with different possible alternatives, which does not give an equitable distribution of possibilities between each option.
Answer:
Behold!
Step-by-step explanation:
Lesson 4 problem solving practice
Answer:
what is your question?
Step-by-step explanation:
4/5 + 1/2 = ?
A 1 3/10
B 15/10
C 2 4/10
D 5/7
Answer:
13/10
Step-by-step explanation:
Which is the correct answer?
(Note): (if you give me a silly or absurd answer I will report you)
Step-by-step explanation:
Since N ≡ 0 (mod 2) and N ≡ 0 (mod 3),
N ≡ 0 (mod (2*3)) ≡ 0 (mod 6).
Hence when N is divided by 6,
the remainder is 0. (A)
What is 9 square foot in square feet ?
Help! I think this is correct but im unsure
what is the gradient?
Answer:
[tex] \frac{3}{2} [/tex]Step-by-step explanation:
hi thereas we know gradient of Graf=[tex] \frac{∆y}{∆x} [/tex]
[tex] \frac{3}{2} [/tex]Find the area of the parallelogram shown below.
3
6
square units
Stuc. TAI
Answer: 18
Step-by-step explanation:
Area of parallelogram: b × h
3 × 6 = 18
Hope this helped! :3
Find the distance between the points (1.0) and (0.2)
YEH ITS WRONG SORRY DON'T REPORT ME!
what is a equivalent expression for 4(x-2)
Steps to Solve:
-(2³)p + (-6p) = -112
Answer: p=8
Step-by-step explanation:(−23)(p)−6p=−112
−8p+−6p=−112
(−8p+−6p)=−112(Combine Like Terms)
−14p=−112
−14p=−112
−14p/−14 = −112/−14
p=8
83, 694 ,357 expanded notation using descending order
Answer:
Step-by-step explanation:
eighty three, three hundred and fifty seven,six hundred and ninty four
80+3=83,300+50+7=357,600+90+4=694
This is the order.
Hope this helps!
What's the first 25 numbers of pie without you googling it.
Answer:
3.141592653589793238462643
Step-by-step explanation:
Pretty obvious.
what an "Nerd"
write the equation of a line in standard form that has a slope of 3 and passes through the point (-2,4)
Answer: E) 3x - y = 2
Step-by-step explanation:
Standard form is Ax + By = C
Ax must be positive
Hope this helps <3
What is the ordered pair for A’ if A(2,-3) is reflected over the x-axis?
Answer:
A´= (2, 3)
Step-by-step explanation:
integers between -1and -5
HURRY PLEASE On a coordinate plane, point A is 2 units to the left and 5 units up. Point B is 5 units to the right and 5 units up. What is the distance between the points? Point A is located at the point . Point B is located at the point . The distance between the points is units.
Answer:
point A is located at (-2,5) and point B is located at point (5,5), the distance between the points is 7 units. hope this helps!
The distance between the points will be 7 units. Point A is located at the point (-2, 5). Point B is located at the point (5, 5).
What is distance between points?The formula of distance between two points is A(x₁, y₁) and B(x₂, y₂) is given by: [tex](A,B) = \sqrt{( x_{2} - x_{1} )^2 + ( y_{2} - y_{1})^2}[/tex]
We have,
Point A (-2, 5) and Point B (5, 5).
i.e.
x₁ = -2, x₂ = 5 and
y₁ = 5, y₂ = 5
Now,
Using the above mentioned formula of distance,
i.e.
Distance [tex](A,B) = \sqrt{( x_{2} - x_{1} )^2 + ( y_{2} - y_{1})^2}[/tex]
So,
Substituting values,
Distance [tex](A,B) = \sqrt{(5-(-2) )^2 + ( 5-5)^2}[/tex]
Now, simplify,
Distance [tex](A,B) = \sqrt{(7)^2 + 0}[/tex]
We get,
Distance [tex](A,B) = 7[/tex]
So, the distance between AB is 7 units.
Hence, we can say that the distance between the points will be 7 units. Point A is located at the point (-2, 5). Point B is located at the point (5, 5).
To know more about distance between the points click here
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PLEASE ANSWER ASAP!!!!!!!!!!!!!!!
Authors set a TONE or MOOD in literature by conveying an emotion or emotions through ________.
Answer:
Author's craft
Step-by-step explanation:
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the ratio of dogs to cats is 5 to 3, if there are 14 more dogs than cats, how many animals are there altogether?
Answer:
35
Step-by-step explanation:
What is the compound interest on investing $600 for 3 years at 7% per annum?
Answer:
After investing for 3 years at 7% interest, your $600 investment will have grown to $735.03
Louis and Ricardo took a timed a reading test, and the results below show the number of words each student can read per minute which student reads at a faster rate ?
Answer:
Louis reads faster
Step-by-step explanation:
See attachment for complete question.
The table represents Louis data while the graph represents Ricardo's data.
To solve this question, we simply calculate the slope of the table/graph,
The slope (m) is calculated by:
[tex]m=\frac{y_2 - y_1}{x_2 - x_1}[/tex]
For Louis:
From the table, we pick any corresponding x and y values
[tex](x_1,y_1) = (2,436)[/tex]
[tex](x_2,y_2) = (6,1308)[/tex]
[tex]m_1 = \frac{1308 - 436}{6-2}[/tex]
[tex]m_1 = \frac{872}{4}[/tex]
[tex]m_1 = 218[/tex]
For Ricardo:
From the graph, we pick any corresponding x and y values
[tex](x_1,y_1) = (2,300)[/tex]
[tex](x_2,y_2) = (6,900)[/tex]
[tex]m_2 = \frac{900- 300}{6-2}[/tex]
[tex]m_2 = \frac{600}{4}[/tex]
[tex]m_2 = 150[/tex]
So, we have:
Louis: [tex]m_1 = 218[/tex]
Which means 218 words per minutes
Ricardo: [tex]m_2 = 150[/tex]
Which means 150 words per minutes
Please help me due today?
please I need a solution
Answer:
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