Four students were asked to write an expression which has terms that have a greatest common factor of 8c.

the expressions provided by the students are shown below.

Tanya

32C+16cd

Wyatt

8c-48cd

Xavier

36c-24c yang. 8c+40

Which student wrote the correct expression?

Answers

Answer 1

Answer:

Wyatt

Step-by-step explanation:

Tanya: 32c+16cd=16c(2+d)

The GCD of the terms is 16c

Wyatt : 8c-48cd=8c(1-6d)

The GCD of the terms is 8c

Xavier :36c-24c =12c(3-2)

The GCD of the terms is 12c

Yang: 8c+40=8(c+5)

The GCD of the terms is 8

Since the expression is required to have a GCD of 8c, Wyatt wrote the correct expression.

Answer 2

Answer:

wyatt answered correctly

Step-by-step explanation:


Related Questions

Suppose you have the same box with a volume of 400 in.^3in.
​3
​​ and a height of 5 in. You now also know that the box is 8 in. wide. What is the length of the box?

Answers

Answer:10 in.

Step-by-step explanation:

Given

Volume of box [tex]V=400\ in.^3[/tex]

height of box [tex]h=5\ in.[/tex]

width of box [tex]w=8\ in.[/tex]

Suppose l is the length of box then

Volume of the box is given by

[tex]V=l\times b\times h[/tex]

[tex]V=l\times 8\times 5[/tex]

[tex]400=40l[/tex]

[tex]l=\frac{400}{40}[/tex]

[tex]l=10\ in.[/tex]

Answer:

[tex]length = 10 \: in[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

what's the distance between the points (5,3) and (2,3)

Answers

Answer:

3???

Step-by-step explanation:

You want to put $8,000 in a simple interest account. It has a 2% annual interest rate. How long must you invest that money to earn $400 in interest? CLEAR CHECK 2.5 years 5 years 10 years 0 years

Answers

Answer:

2.5 years

Step-by-step explanation:

Interest= P×R×T÷100

T= 100I÷P×R

T= 100×400÷8000×2

T= 40000÷16000

T= 5÷2

T= 2.5 years

Need help ASAP, marking first as brainliest. Rlly appreciate it.

Answers

Answer:

Choose answers B and D

Step-by-step explanation:

Answer:

Choose answers B and D.

Step-by-step explanation:

The parks department is installing a

fence along a scenic overlook. The area

to be lenced has 3 sides measuring 4V5

feet. 3 v 5 leet, and 5V5 feet. Find the

total amount of fencing that needs to be

installed.

Answers

Answer:

60 square feet.

Step-by-step explanation:

The area to be fenced has two rectangles and one square. We add the areas of the rectangles to that of the square to obtain the total amount of fencing required.

Area of 4 × 5 feet rectangle =(4 × 5) = 20 square feet

Area of 3 × 5 feet rectangle =(3 × 5) = 15 square feet

Area of 5 × 5 feet square =(5)²  = 25 square feet

So the total amount of fencing that need to be installed is 20 + 15 + 25 square feet = 60 square feet.

Answer:

Step-by-step explanation:

June and the total of 4/6 hour on her math and reading homework which pair of models could show the amount of time in hours she spends on each subject

Answers

Answer:

2/3

Step-by-step explanation:

What line represents the relationship
between cand d shown in the table?

Answers

With the arrow pointing diagonally
Step by step explanation
D is double the amount of c therefore the y-axis will be pointing diagonally

i think of a number multiply it by 3 and subract 2 . The result is 14​

Answers

Answer:

5.3

Step-by-step explanation:

Answer:

The answer is 5.3

Step-by-step explanation:

5.3x3-2= 13.9 but when you round its 14

See the question above.
A) 96 ft2
B) 24 ft2
C) 48 ft2
D) 38 ft2

Answers

Answer:

C. 48 [tex]ft^2[/tex]

Step-by-step explanation:

The formula for finding the area of a triangle is:

[tex]\frac{1}{2}bh[/tex]

The "[tex]b[/tex]," is the base (10), and the "[tex]h[/tex]," is the height (9.6), so plug it in:

[tex]\frac{1}{2} (10)(9.6)\\[/tex]

[tex]\frac{1}{2} (96)[/tex]

48 [tex]ft^2[/tex]

it was found that out of 45 girls,10 joined singing but not dancing and 24 joined dancing . how many joined but not singing ? how many joined both

Answers

11 are in both singing and dancing.
45-10 singing= 35 not singing
45-24 dancing = 21 not dancing
24+10= 34 in singing OR dancing,
Subtract the 34 from 45
which leaves 11 in both singing AND dancing.

21  girls joined but not singing and 14 girls joined both singing and dancing.

What are Arithmetic operations?

Arithmetic operations can also be specified by the, subtract, divide, and  multiply built-in functions.

Total no. of girls = 45

No. of girls are dancing = 24

No. of girls are singing but not dancing = 10

No. of girl are both singing and dancing = 24-10 = 14

No. of girls are dancing but not singing = 45-24=21

Hence, 21  girls joined but not singing and 14 girls joined both singing and dancing.

Learn more about Arithmetic operations

https://brainly.com/question/25834626

#SPJ2

Evaluate

[tex] (4)\fract{ - 4}{2} [/tex]

Answers

Answer:

-38

Step-by-step explanation:

Subtract  42  from  4 . Since 42 is negative so will the answer

Maggie buys 1 1/2 pounds of walnuts pounds of walnuts 8 ounces 8 ounces of pecans of pecans and 3/4 pounds of almonds how much do the nuts weigh in all

Answers

Answer:

[tex]2\frac{3}{4}[/tex] pounds

Step-by-step explanation:

Maggie buys 1 1/2 pounds of walnuts, 8 ounces of pecans and 3/4 pounds of almonds.

To find the total weight of nuts that she buys, let us first put all the weights in a single unit, pounds.

She buys 8 ounces of pecans.

1 ounce = 0.0625 pounds

8 ounces = 8 * 0.0625 = 0.5 pounds = 1/2 pounds

Therefore, the total weight of nuts that she buys is:

[tex]1\frac{1}{2} + \frac{1}{2} + \frac{3}{4}\\ \\\frac{3}{2} + \frac{1}{2} + \frac{3}{4} = 2\frac{3}{4}[/tex]

The nuts weight [tex]2\frac{3}{4}[/tex] pounds in all.

Answer:

the answer is 2 3/4 pounds

Step-by-step explanation:

3. WEDNESDAY (5/20): The minimum of the graph of a quadratic function is located at (-1,2). The point (2, 2015
also on the parabola. Which function represents this?
a) f(x) = x² + 2x + 3
b) f(x)= x² - 2x+3
c) f(x) = 2x²+4x+4
d) f(x)= 2x²- 4x+4​

Answers

Answer:

C.) f(x) = 2x^2 + 4x + 4

Step-by-step explanation:

The equation of the parabola with vertex (h,k) is y=a(−h+x)^2+k.

Thus, the equation of the parabola is y=a(x+1)^2+2.

To find a, use the fact that the parabola passes through the point (2,20): 20=9a+2.

Solving this equation, we get that a=2.

Thus, the equation of the parabola is y=2(x+1)^2+2.

TO STANDARD FORM

= 2*(x^2+2x+1)+2  

=(2x^2+4x+2)+2  

= 2x^2+4x+2+2  

= 2x^2+4x+4

Replace A with a number to make A/24 ≥ 1/4 a true statement.

Answers

Answer:

B. 7

Step-by-step explanation: 6/24= 1/4 so 7/24>1/4

Is (A) correct or no????

Answers

Answer:

no

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Sea level is always represented by the number 0 unless you are reffering to how to get to see level in which case you'd have to fly down -1200 ft.

Find all roots of y=x^3-64

Answers

Answer:

x = -4i and x = 4i, also x = 4

Step-by-step explanation:

Rewrite y = x^3-64 as y = x^3 - 64.  This can again be rewritten, this time as:

y = (x - 4)(x^2 + 16).

Setting this = to 0, we get x - 4 = 0, whose corresponding root is x = 4, and

x^2 + 16), which has two unequal, imaginary roots:  x = -4i and x = 4i.

Could some one plz help me with this question
P.S ignore the answer choices their wrong

25 Points

Answers

Answer:

A

Step-by-step explanation:

The formula for this type of interest is [tex]A=P(1+\frac{r}{n})^{nt}[/tex], where A is the total amount, P is the initial investment, x is the interest rate, n is the amount of times that the investment is compounded a year, and t is the amount of years. Plugging in the numbers given, you get:

[tex]A=1800(1+\frac{0.025}{2})^{2\cdot 12}=[/tex]

[tex]1800(1.0125)^{24}\approx 2425.23[/tex]

Now, she invests this into a new account, and you can set up the following equation:

[tex]A=2425.23(1+\frac{0.04}{12})^{12\cdot 7}=[/tex]

[tex]2425.23(1.0033333)^{84}\approx 3207.40[/tex], or option A.

Hope this helps!

???????????????????????

Answers

Answer:

1

Step-by-step explanation:

[tex]10-\frac{54}{6}[/tex]

10-9

1

the radius of a circle with a circumstance of 28 pie into units

Answers

Answer:

The radius is 14

Step-by-step explanation:

The circumference of the circle is 28 pi

C = 2* pi *r  where r is the radius

28 pi = 2 pi *r

Divide each side by 2 pi

28 pi/2pi = 2 pi *r/2pi

14 = r

The prism's volume is the area of the base,
times the height,
Since the ratio of the areas is then the volume of
the cylinder is times the volume of the prism.
V = (4rº), or

Answers

Answer:2r(2r)

R

pi/4

pi times r cubed

Step-by-step explanation: just answer it e2020

What is
15,379 times 51





Answers

Answer:

784329

Step-by-step explanation:

the answer is : 784329

State the slope and y-intercept of the graph of the equation y = 3x + 2

The slope is _________.

The y-intercept is ____________-

Answers

Slope 3
Intercept is 2

A man came to the King and asked, "King, let me pick an apple from your garden." The King agreed to the request so the man went to the garden and saw that it was fenced off with three fences and that there was a gate in each fence. A guard stood next to each gate. "The King has allowed me to pick an apple from the garden," said the man to the first guard. "Go ahead," answered the guard, "but when you exit give me half of all the apples that you have, plus one more." The other two guards each said the same thing to the man. How many apples should the man pick in order to have one apple left for himself after he gives each of the guards all the apples they demanded?

Answers

Answer:

The Man must pic 22 Apples.

Step-by-step explanation:

Find the attachments

there are 18 blueberries in a bowl .there are 3 times as many blueberries as strawberries in the bowl.how many strawberries are in the bowl?

Answers

Answer:

6

Step-by-step explanation:

Number of blueberries = 18

Number of strawberries = 3 times less than blueberries

Number of strawberries

18/3 = 6

Answer: 6 strawberries

Which expression is equivalent to RootIndex 4 StartRoot StartFraction 24 x Superscript 6 Baseline y Over 128 x Superscript 4 Baseline y Superscript 5 Baseline EndFraction EndRoot? Assume x not-equals 0 and y
StartFraction RootIndex 4 StartRoot 3 EndRoot Over 2 x squared y EndFraction
StartFraction x (RootIndex 4 StartRoot 3 EndRoot) Over 4 y squared EndFraction
StartFraction RootIndex 4 StartRoot 3 EndRoot Over 4 x y squared EndFraction
StartFraction RootIndex 4 StartRoot 3 x squared EndRoot Over 2 y EndFraction

Answers

Answer:

The expression is equivalent to[tex]A=\sqrt[4]{\frac{24\ x^{6}\ y}{128\ x^{4}\ y^{5}}}[/tex] is  [tex]\frac{\sqrt[4]{3}}{2}}\times \frac{\sqrt{x}}{y}[/tex].

Step-by-step explanation:

The expression provided is:

[tex]A=\sqrt[4]{\frac{24\ x^{6}\ y}{128\ x^{4}\ y^{5}}}[/tex]

Simplify the expression A as follows:

[tex]A=\sqrt[4]{\frac{24\ x^{6}\ y}{128\ x^{4}\ y^{5}}}[/tex]

   [tex]=\sqrt[4]{\frac{24}{128}\times x^{(6-4)}\times y^{(1-5)}}\\\\=\sqrt[4]{\frac{3}{16}\times x^{2}\times y^{-4}}\\\\=[\frac{3}{16}\times x^{2}\times y^{-4}]^{1/4}\\\\=[\frac{3}{16}]^{1/4}\times x^{(2\times (1/4))}\times y^{(-4\times (1/4))}\\\\=\frac{\sqrt[4]{3}}{2}}\times x^{1/2}\times y^{-1}\\\\=\frac{\sqrt[4]{3}}{2}}\times \frac{\sqrt{x}}{y}[/tex]

Thus, the expression is equivalent to[tex]A=\sqrt[4]{\frac{24\ x^{6}\ y}{128\ x^{4}\ y^{5}}}[/tex] is  [tex]\frac{\sqrt[4]{3}}{2}}\times \frac{\sqrt{x}}{y}[/tex].

Equivalent expressions are expressions that have equal values

The equivalent expression of [tex]\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}[/tex] is [tex]\frac 1{2y}\sqrt[4]{ 3x^2}}[/tex]

The expression is given as:

[tex]\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}[/tex]

Divide 24 and 128 by 8

[tex]\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}= \sqrt[4]{ \frac{3x^6y}{16x^4y^5}}[/tex]

Take 4th root of 16

[tex]\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}= \frac 12\sqrt[4]{ \frac{3x^6y}{x^4y^5}}[/tex]

Apply law of indices, to simplify the fraction

[tex]\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}= \frac 12\sqrt[4]{ 3x^{6-4}y^{1-5}}[/tex]

Simplify

[tex]\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}= \frac 12\sqrt[4]{ 3x^{2}y^{-4}}[/tex]

Rewrite as:

[tex]\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}= \frac 12\sqrt[4]{ \frac{3x^{2}}{y^4}}[/tex]

Take 4th root of y^4

[tex]\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}= \frac 1{2y}\sqrt[4]{ 3x^2}}[/tex]

Hence, the equivalent expression of [tex]\sqrt[4]{ \frac{24x^6y}{128x^4y^5}}[/tex] is [tex]\frac 1{2y}\sqrt[4]{ 3x^2}}[/tex]

Read more about equivalent expressions at:

https://brainly.com/question/15715866

How do you find the median of the set of numbers that are not listed in order like 1,2,4,3,5,3,6,7,8

A. Pick the number you see in the middle

B. Start crossing out at each end until you come to a number I’m the ,idle

C. Rewrite the numbers in order from lowest to highest first, then the number in the middle

D. Pick the number that appears most often.

Answers

Answer:

C. Rewrite the numbers in order from lowest to highest first, then the number in the middle

Step-by-step explanation:

1,2,3,3,4,5,6,7,8

Median: 4

Simplify over the set of complex numbers sqrt(- 1)

Answers

Answer: i

Step-by-step explanation:

[tex]\sqrt{-1} =i[/tex]

Please, I don’t get this. You don’t need to do step by step

Answers

1.

Equation: (3×n)-7=2 (n is just the missing number)

Solution: n is 3 or just 3

2.

You bought 5 pairs of socks

Explanation:

96-76=20

20÷4=5 pairs of socks (Before tax)

3.

The number is 2

Explanation:

5×n=2(n+3)

5×2=2(2+3)

10=2(5)

10=10

Hope this helps!

Whenever he visits Dayton, Quincy has to drive 12 miles due north from home. Whenever he
visits Belleville, he has to drive 16 miles due east from home. How far apart are Dayton and
Belleville, measured in a straight line?

Answers

Answer: 20 miles

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the Pythagorean Theorem:

x^2 = a^2 + b^2

Where x is the hypotenuse of the triangle (in this case the distance between Dayton and Belleville) and a and b are the other sides.

Replacing with the values given:

x^2 = 16^2 + 12^2

x^2 = 256+144

x^2 = 400

x = √400

x = 20 miles

Feel free to ask for more if needed or if you did not understand something.

What’s the answer to this

Answers

Answer:

A

Step-by-step explanation:

You can factor it as (2x - 1) (6x + 5) = 0

from which answer A follows.

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