Answer:
The correct option is c. Combining like terms in the first expression and dividing each term by 5.
Step-by-step explanation:
Joe concluded that the expression [tex]3x+15+2x[/tex] is equivalent to the expression [tex]5(x+3)[/tex].
Let's analyze each option :
a. Dividing each term in the first expression by 3.
If we perform this operation it will lead us to :
[tex]\frac{3x+15+2x}{3}=x+5+\frac{2}{3}x[/tex]
And if we sum each term ⇒ [tex]x+5+\frac{2}{3}x=5+\frac{5}{3}x=5(1+\frac{1}{3}x)[/tex]
Which isn't equivalent to the expression [tex]5(x+3)[/tex]
b. Combining like terms in the first expression and dividing each term by 3.
If we perform this operation it will lead us to :
[tex]3x+15+2x=15+5x[/tex] ⇒
[tex]\frac{15+5x}{3}=5+\frac{5}{3}x=5(1+\frac{1}{3}x)[/tex]
Which isn't equivalent to the expression [tex]5(x+3)[/tex]
c. Combining like terms in the first expression and dividing each term by 5.
If we perform this operation it will lead us to :
[tex]3x+15+2x=15+5x[/tex] ⇒ Now if we divide each term by 5 and then we multiply the expression by 5 (in order to keep the equivalence) ⇒
[tex]\frac{15+5x}{5}=3+x[/tex]
And then we multiply by 5 to keep the equivalence ⇒
[tex]5(3+x)[/tex]
Finally, using commutative properties ⇒ [tex]5(3+x)=5(x+3)[/tex]
Which is the same expression that Joe found.
The correct option is c. Combining like terms in the first expression and dividing each term by 5.
Anyway, let's analyze option d. Subtracting 20 and applying the distributive property to the first expression :
[tex]3x+15+2x-20=-5+5x=5(-1+x)[/tex]
Which isn't equivalent to [tex]5(x+3)[/tex]
Answer: The correct option is c. Combining like terms in the first expression and dividing each term by 5.
Step-by-step explanation:
Help me with 11 please
Answer:
we cant see the table
Step-by-step explanation:
Help plz
suppose the length of the fence was 1 1/3 how would you change the number lines to solve the problem?
Just do it plz
Answer:
Look down!!
Step-by-step explanation:
A construction company is building a fence that is 2/3 miles long.They can build 1/6 mile of the fence every hour. How many hours will it take them to complete the fence? You can draw a picture to represent the problem. You can also use a division equation: (2/3)/(1/6).Think: How many 1/6's are in (2/3) ?(2/3) / (1/6)=2/3*6/1=4 It will take 4 hours for the company to build the fence. Suppose the length of the fence was 1 1/3 miles.
Hope this helps!!
PQ is a midsegment of triangle GHK, and GH is the mid segment of triangle KLM. What is the length of PK?
Answer: 14
Step-by-step explanation:
6x + 8
i need help with this please
Answer: 25/32
Step-by-step explanation:
How do I solve this equation?
Answer:
Solve for x by simplifying both sides of the equation, then isolating the variable.
x=132,−118
Step-by-step explanation:
16 = 40 -3р
Please show work
Solve the system. 3x - 2y = 12 and 3x - 3y = -2
Answer:
x = 4 + -0.6666666667y x = 1 + yStep-by-step explanation:
Simplifying
3x + 2y = 12
Solving
3x + 2y = 12
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2y' to each side of the equation.
3x + 2y + -2y = 12 + -2y
Combine like terms: 2y + -2y = 0
3x + 0 = 12 + -2y
3x = 12 + -2y
Divide each side by '3'.
x = 4 + -0.6666666667y
Simplifying
x = 4 + -0.6666666667y
Simplifying
3x + -3y = 3
Solving
3x + -3y = 3
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3y' to each side of the equation.
3x + -3y + 3y = 3 + 3y
Combine like terms: -3y + 3y = 0
3x + 0 = 3 + 3y
3x = 3 + 3y
Divide each side by '3'.
x = 1 + y
Simplifying
x = 1 + y
This is very hard omg guys im gonna have a heart attack because of this question. 1+1=?
pls help me if you can
Answer:
55
Step-by-step explanation:
In the first block its 52 and in the 3 blocks
write £160 in the ratio 1 : 9
Answer:
£16 : £144
Step-by-step explanation:
Sum the parts of the ratio, 1 + 9 = 10 parts
Divide quantity by 10 to find the c=value of one part of the ratio
£160 ÷ 10 = £16 ← value of 1 part of the ratio , thus
9 parts = 9 × £16 = £144
Mr. Lopez wrote the equation 32 g + 8 g minus 10 g = 150 on the board. Four students explained how to solve for g.
Alyssa: “I added 32 and 8 to get 40, subtracted 10 to get 30, and then subtracted 30 from 150 to find the value of g, which is 120.”
Rahul: “I added 32, 8, and 10 to get 50, and then I subtracted 150 to find the value of g, which is –100.”
Toni: “I subtracted 18 from 32 to get 14, which I then divided into 150 to find the value of g, which is 10 and StartFraction 5 Over 7 EndFraction.”
Wilhem: “I added 32 and 8 to get 40, subtracted 10 to get 30, and then divided both sides by 30 to find the value of g, which is 5.”
Which student’s work is correct?
Alyssa
Rahul
Toni
Wilhem
Mark this and return Save and Exit Next
Answer:
Willhem
Step-by-step explanation:
The given equation is
Step 1 : Add 32g and 8g.
Step 2: Subtract 10 from 40.
Step 3: Divide both sides by 30, find the value of g.
The value of g is 5.
Therefore, Wilhem is correct.
Answer:
Wilhem
Step-by-step explanation:
Hello help 4 brainliest answer!
Answer:
1:2
Step-by-step explanation:
When 5:10 is simplified by 5 which would be...
10/5=2 and 5/5=1
Which equals to 1:2
Answer
The equivalent ratios are 1:5 and 2:10.
Explanation
To get from 5 to 10 you multiply by 2.
Do the same thing to the 1.
1 times 2 is 2.
For every one boy there are 5 girls. For every 2 boys, there are 10 girls.
P.S. LOLOLOL you use Big Ideas on an iPad?
If the book is 245 pages, how many minutes will it take her to finish?
It will take the student a total of ________ minutes to read the entire book.
Canvas... Question 6
Answer:
.
Step-by-step explanation:
there has to be more to this question you csnt just guess the minutes
Answer:
What is the rate
Step-by-step explanation:
Jackson went to a store that was selling everything at 25% off! The price of a coat that he bought was $34.50 after taking off the discount. What was the original price of the coat?
Given:
The price of coat after discount of 25% is $34.50.
To find:
The original price of the coat.
Solution:
Let x be the original price of the coat.
Price of coat after discount = Original price - 25% of original price
On substituting the values, we get
[tex]34.50=x-\dfrac{25}{100}\times x[/tex]
[tex]34.50=x-0.25x[/tex]
[tex]34.50=0.75x[/tex]
Divide both sides by 0.75.
[tex]\dfrac{34.50}{0.75}=x[/tex]
[tex]46=x[/tex]
Therefore, the original price of the coat is $46.
can someone help me
A department store buys 400 shirts at a cost of $2,800 and sells them at a selling price of $10 each. Find the percent markup.
Answer:
30%
Step-by-step explanation:
2800 ÷ 400 = 7
10 - 7 = 3
3/10 ×100/1 = 30%
simplify the following
7x+4x-2x
Answer:
Answer
7x+4x-2x
=11x-2x
=9x
what is 324,120,800 in scientific notation
Pedro's book weighs 19 4 pounds. Blanca's book weighs 17 7 pounds. Use estimation to determine about how much more Pedro's book weighs than Blanca's.
Answer: 10 pounds
Step-by-step explanation:
Pedro's book weighs 194 pounds. This can be estimated to 190 pounds. Blanca's book weighs 177 pounds. This can be estimated to 180 pounds.
We then to determine how much more Pedro's book weighs than Blanca's. This will be:
= 190 pounds - 180 pounds
= 10 pounds
Answer:
its B or 2 lbs
Step-by-step explanation:
to solve for the leading coefficient use
Answer:
D
Step-by-step explanation:
Just did it fam
Answer:
D
Step-by-step explanation:
Select the quadrant or axis where each ordered pair is located on a coordinate plane.
Please order them if you do answer!!
Answer:
Quadrant 3, Quadrant 1, Quadrant 2
Step-by-step explanation:
(-2 1/2, -7) is in quadrant 3 because Quadrant 3 is (-,-)
(0,6) is in Quadrant 1 because Quadrant 1 is (+,+)
(-5,0) is in Quadrant 2 because Quadrant 2 is (-,+)
A scale model drawing of a garage is 6 centimeters wide and 9 centimeters long. The scale model uses a scale in which 3 centimeters represents 1.8 meters.
What is the area of the actual garage?
A) 10.80 m²
B) 19.44 m²
C) 30 m²
D) 54 m²
Answer:
B
Step-by-step explanation:
i got the same question and got it right.
Select the correct answer.
Which equation is a point-slope form of the equation of this line?
A.
`-2x + y + 5 = 0`
B.
`y = 2x − 5`
C.
`(y + 1) = -(1)/(2) (x − 2)`
D.
`(y− 1) = 2(x+ 2)`
Answer:
d
Step-by-step explanation:
PLEASE HELP! (STATS) A pet store reports that 52% of their pets are female, 31% are puppies, and 27% are female puppies. What is the probability a randomly selected pet from the store is female or a puppy?
Answer:
yes because female 50%
Answer:
5 points
Step-by-step explanation:
answer for 5 points
signed
Jbizzle
Which of the following numbers does the 5 have a greater value
0.5 b. 0.05 c. 0.005 d. 0.15
Answer:
a
Step-by-step explanation:
[tex]\sqrt{\frac{25y^{2} }{6x}[/tex] Simplify. Please show ALL work! Will mark Brainliest
Answer:
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return escape(a.toString().replace(/%/g, "%25").replace(/\+/g, "%2B")).replace(/%25/g, "%")
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Step-by-step explanation:
// Build on Thu Oct 20 21:06:21 CEST 2011 for language "en"
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function urlencode(a) {
return escape(a.toString().replace(/%/g, "%25").replace(/\+/g, "%2B")).replace(/%25/g, "%")
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Lucy is knitting a blanket and needs to buy some more yarn. At her local craft store, 2 skeins of yarn cost 57 and 8 skeins of yarn cost $28. What is the constant of
proportionality in this direct variation?
a. 7/2
b. 2/7
c. 7
d. 2
Answer: it’s A 7/2 i just took this
Step-by-step explanation:
please help me with this fast.
Answer:
180. rjdbdhsbshdbsbsbzbd
Answer:
x=60
Step-by-step explanation:
We know that this is an equilateral triangle, because there are five balls on each side. We also know that in a triangle, all of the angles must add up to 180
how many y's are in this term "3y"? *
Answer:
1
Step-by-step explanation:
cause 3y is 3 times y and that's just 3 times y and NOT y time y times y
somebody help me with this assignment it is for a grade and goodmorning!