Given:
Consider the expression is
[tex]144x^2-100[/tex]
Jeremy factored the given expression and his steps are given.
To find:
The error in his solution.
Solution:
We have,
[tex]144x^2-100[/tex]
It can be written as
[tex]=12^2x^2-10^2[/tex]
[tex]=(12x)^2-10^2[/tex]
[tex]=(12x+10)(12x-10)[/tex] [tex][\because a^2-b^2=(a+b)(a-b)][/tex]
Taking out common factors from each parenthesis.
[tex]=2(6x+5)2(6x-5)[/tex]
[tex]=4(6x+5)(6x-5)[/tex]
So, Jeremy was incorrect because the common factor is [tex]2\times 2=4[/tex] instead of 2.
Therefore, Jeremy made his mistake in his last step.
The Texas Renaissance Festival charges an entrance fee of $10 and $0.50 per ticket for the rides. The State Fair of Texas charges an entrance fee of $16 and requires $0.25 per ticket for the rides. How many tickets must be bought in order for the total cost at The Texas Renaissance Festival to be the same as The State Fair of Texas?
a
8
b
24
c
16
d
12
The cost to manufacture a hair clip is $0.50. With a markup of 200%, what is the selling price of this hair clip?
Answer:
Step-by-step explanation:
The cost to manufacture a hair clip is $0.50. With a markup of 200%, what is the selling price of this hair clip?
Given data
cost to manufacture a hair clip is $0.50
markup of 200%
Required
The selling price
We know that
Mark up percent= selling-cost/cost*100
200= selling-0.5/0.5*100
200-selling= 50/0.5
200-selling= 100
selling= 200-100
selling = 100
Hence the selling price is $100
−2(x + 9) + 25 = 14 − 3x
(step by step pls)
Answer:
-2x+18+25=14-3x
collect like terms
-2x+3x=14-25-18
x=29
Help pls question is the picture above :))))
If 8x−5y=−3 is a true equation, what would be the value of 8x−5y+7?
Answer:
Value of 8x -5y + 7 is 4.
Step-by-step explanation:
Given that:
8x-5y = -3 Eqn 1
It is a true equation.
Now we have to find the value of the given expression
8x -5y + 7
Putting value of 8x-5y from Eqn 1 in the given expression
8x - 5y + 7
-3 + 7
4
Therefore,
8x - 5y + 7 = 4
Hence,
Value of 8x -5y + 7 is 4.
Twice the difference of 1 and a number.
Katie's business is going so well she wants to expand and add a shirt. She makes an isosceles triangle logo like the one below.
What is the angle of B
The volume of a cylinder is 1767 cm and its height is 11 cm.
What is the length of the cylinder's radius?
Enter your answer in the box.
Answer:
1778 cm
Step-by-step explanation:
consider the two functions which statement is true?
Answer:
A
Step-by-step explanation:
If GEOM is a square, find m2GQE.
Answer:
90 is correct answer of it question
What is the measure of angle P?
Answer:
60
Step-by-step explanation:
step 1: 180°-130°= 50
step 2: 180-110= 70
step 3: 70+50= 120
step 4: 180°-120°= 60
The hanger image below represents a balanced equation.
60
U
Find the value of u that makes the equation true.
Answer:
12
Step-by-step explanation:
Essentially, 60 and the 5 us must be equal:
60=5u
Divide both sides by 5 to solve for u but keep the equation balanced.
12=u
Answer:
the answer is 12
Find the smallest number that is divisible by both 18 and 48.
Answer:
144
Step-by-step explanation:
write out the 18 and the 48 times tables until you find the smallest number that is in both times tables. and there's your number :)
(ONLY MY FRIENDS RESPOND) What is the Area of a square if it has L= 32cm and W= 20cm?
(Heres a re-made thing for my friends, sorry for the rushed handwriting, I had to do it before my mom saw, hope u guys can read it)
Answer:
640
Step-by-step explanation: and wow
Juan received a bank account statement reporting the recent changes
to his account. The statement showed an overall increase in the
account balance of $1,909.15. During the time shown on the
statement, Juan was paid twice and withdrew a total of $1,437.99 to
cover all his bills and expenses. How much (x) is each of Juan's
paychecks?
Answer:
2628.15
Step-by-step explanation:
1909.15+ 1437.99/2=2628.15
Explain how to describe the data on a histogram. Write 3-5 sentences.
Quick whoever gives the right answer gets brainliest
Answer:
The independent variable (IV) is the amount of hamburgers
Step-by-step explanation:
The amount of hamburgers influence the sale amount.
Pls help semester ends to day pls help with both 16 and 17
Answer:
Step-by-step explanation:
16. -73.5 ft / 3 min = -24.5 ft/min
17. ($50.25 - $22.50 + $50.25 - $22.50 - $22.50) / 5 = $33 / 5 = $6.60
Answer:
16.-73.5÷3=-24.5 feet per minute
17.(50.25-22.5+50.25-22.5-22.5)÷5=6.6
9. Factorize: 6x2 - 19x + 14.
Answer:
Step-by-step explanation:
Here, we want to factor the given polynomial
We have this as;
6x^2 - 19x + 14
= 6x^2 -12x-7x + 14
= 6x(x-2) -7(x-2)
= (6x-7)(x-2)
6x^2-19x + 14 = (6x-7)(x-2)
What hazard is present in this image?
Select the best option.
A mat that has upturned edges
Hair clippings on the floor
Tool cord left out
Spills on floor
Answer:
spills on the floor
Step-by-step explanation:
there is liquid of some sort someone could slip and hurt themselves. hope this helps
Mae has a number cube with 6 sides that are numbered 1 through 6. What is the probability that Mae will roll an odd number?
A
1 out of 3
B
1 out of 6
с
3 out of 6
D
5 out of 6
Answer:
C) [tex]P(E) = \frac{3}{6}[/tex]
The probability that Mae will roll an odd number
[tex]P(E) = \frac{3}{6}[/tex]
Step-by-step explanation:
Step(i):-
Given that Mae has a number cube with 6 sides that are numbered 1 through 6.
n(S) = { 1,2,3,4,5,6,} = 6
Let 'E ' be the event of odd numbers
Mae will roll an odd number
n(E) = {1, 3, 5} = 3
Step(ii):-
The probability that Mae will roll an odd number
[tex]P(E) = \frac{n(E)}{n(S)} = \frac{3}{6}[/tex]
[tex]P(E) = \frac{3}{6}[/tex]
Solve the linear equation x + 4 + 3x = 72. State the property that justifies your first step and why you chose it
Please Help!!!!!!!!!
Answer:
x=17
Step-by-step explanation:
x+4+3x=72
4x+4-4=72-4
4x/4=68/4
x=17
Associative property of addition
Answer: x = 17
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
The diagram shows two congruent equilateral triangles whose overlap is a hexagon.
The areas of the smaller triangles, which are also equilateral, are 1, 1, 9, 9, 16 and 16, as shown.
16
16
X1
9
What is the area of the inner hexagon?
Answer:
38
Step-by-step explanation:
I need help what is the diameter of this circle?
Answer:
14cm
Step-by-step explanation:
the diameter is 2x the radius
Does anybody know the answer to this I just need to finish the homework assignment to work on other stuff lol
Answer: C
Step-by-step explanation:
I need to write an equation for the triangle and solve for x
What is the simplified form of the expression(x + 6)(7x − 1)?
8x^2 + 5
7x^2 + 41x − 6
7x^2 + 43x − 6
7x^2 − 6
Answer:c
Step-by-step explanation:
Answer:
B: 7x2 + 41x − 6
Step-by-step explanation:
Use the FOIL method to multiply the two expressions.
(First Outer Inner Last)
Then, combine like terms.
(x + 6)(7x − 1) = (x)(7x) + (x)(-1) + (6)(7x) + (6)(-1)
= 7x2 − x + 42x − 6
= 7x2 + 41x − 6
Number seven plz helppp
Answer:
1,296
Step-by-step explanation:
I multiplied 6 four times.
HELP ME PLS...................TY
Answer:
E
Step-by-step explanation:
the only one where all the pieces of the equation have the same signs
Need Help with this please!!
Answer:
A is 85 degrees
