64x^2-121
Rewrite 64x^2 as 8x^2
Rewrite 121 as 11^2
Now you have 8x^2-11^2
Use the difference of squares formula, a^2- b^2 = (a+ b)( a-b) where a= 8x and b = 11
Answer is:
(8x+11)(8x-11)
Answer:
Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) where a=8x and b=11
.
(8x+11)(8x−11)
Step-by-step explanation:
(100 points)
Simplify.
√310
√30/10
√3/10
√3/5
√15/5
Which expression is equal to √5/11 ?
√5/11
√55/11
25/11
5√11/11
Answer:
30/10 and 5/11
Step-by-step explanation:
7 cm)
8 cm
11 cm
What is the area of this composite figure?
Answer:
88
Step-by-step explanation:
first multiply 7×8 #2 take that answer then multiply by 11
Answer:
616
Step-by-step explanation:
6.50 is 25% of what number?
Answer:
26
Step-by-step explanation:
25% is 1/4 so 6.50+6.5+6.50+6.50= 26
Answer: 26
Step-by-step explanation: Reading through the problem we have "6.50 is" that's 6.50 =, "25%" 25/100, "of" times, "what number" x.
I changed 25% to 25/100 because "percent" means over 100.
Reducing the 25/100 to 1/4, we have 6.50 = [tex]\frac{1x}{4}[/tex].
Multiplying both sides by 4 to get rid of the fraction, we have 26 = x.
So 6.50 is 25% of 26.
What are the values of x and y in the matrix subtraction below?
Answer:
Option x=-15 and y=15 is correct
Therefore the values are x=-15 and y=15
Step-by-step explanation:
Let A and B be the given matrices
Let [tex]A=\left|\begin{array}{ccc}-20&4&9\\16&0&-6\end{array}\right|[/tex]
and [tex]B=\left|\begin{array}{ccc}-5&-6&0\\1&7&11\end{array}\right|[/tex]
To find the subtraction of the matrix A and B
[tex]A-B=\left|\begin{array}{ccc}-20&4&9\\16&0&-6\end{array}\right|-\left|\begin{array}{ccc}-5&-6&0\\1&7&11\end{array}\right|[/tex]
[tex]=\left|\begin{array}{ccc}-20+5&4+6&9-0\\16-&0-7&-6-11\end{array}\right|[/tex]
[tex]=\left|\begin{array}{ccc}-15&10&9\\15&-7&-17\end{array}\right|[/tex]
Therefore [tex]A-B=\left|\begin{array}{ccc}-15&10&9\\15&-7&-17\end{array}\right|[/tex]
Therefore compare [tex]A-B=\left|\begin{array}{ccc}-15&10&9\\15&-7&-17\end{array}\right|[/tex]=[tex]\left|\begin{array}{ccc}x&10&9\\y&-7&-17\end{array}\right|[/tex]
We get x=-15 and y=15
Therefore the values are x=-15 and y=15
Option x=-15 and y=15 is correct
Answer:
A
Step-by-step explanation:
E2020
three times a first number minus a second number equals negative forty The first number plus twice the second number equals negative forty
What is the answer to this equation
Answer:
8^2 x 3.14 x 6
Step-by-step explanation:
Jeff finds some bugs .he finds 10 fewer grasshopper than cricket.he finds 5 fewer cricketsthan lady bug.if Jeff finds 5 grasshoppers how many ladybugs does Jeff find?how many crickets does he find? Write two equations to solve the problem
Answer:
15 crickets; 20 ladybugs
C = G + 10
L= C+5
Step-by-step explanation:
Crickets = C
Ladybugs = L
Grasshoppers = G
We know he found 5 grasshoppers, so:
C = G + 10 --> because he found 10 more crickets than grasshoppers
if we plug in 5 for G (grasshoppers), we can solve for C (crickets):
C= 5+10
15 Crickets
Now that we know he found 15 crickets we can make our second equation:
L= C+5 --> because he found 5 more ladybugs than crickets
if we plug in 15 C (crickets), we can solve for L (ladybugs):
L= 15+5
20 Ladybugs
If Jeff found 5 grasshoppers, the given information leads to two equations showing that he found 15 crickets and 20 ladybugs.
Explanation:Based on the information given, you can form two equations according to the number of insects Jeff found.
If Jeff found 5 grasshoppers, you can substitute 5 for G in the first equation, which will give you the number of crickets: 5 = C - 10, gives C = 15.
Then, you can substitute C = 15 into the second equation to find the number of ladybugs: 15 = L - 5, gives L = 20.
So, Jeff found 15 crickets and 20 ladybugs.
Learn more about Solving Equations here:https://brainly.com/question/18322830
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f(x)=3x−7−−−−−√3f(x)=2
The ratio of men to women on the First-Year
College Experience Committee at a certain uni-
versity is 5:3. If there are a total of 24 people On
the committee, how many women are there?
Answer:
9
Step-by-step explanation:
the total ration is 8
the number of women = (3/8) x 24
= 9
To find the number of women on the committee, we calculated the value of each part of the ratio as the total number of people divided by the sum of the parts of the ratio (24/8). Multiplying the number of women's parts in the ratio (3) by the number of people per part (3) gives us 9 women on the committee.
Explanation:The subject of this question is Mathematics, specifically it deals with the topic of ratios and proportion within the high school curriculum. To determine the number of women on the First-Year College Experience Committee, we use the given ratio of men to women, which is 5:3, and the total number of people on the committee, which is 24. To solve the problem, we need to find out how many 'parts' of the ratio add up to the total. In this case, 5 parts for men plus 3 parts for women equals 8 parts in total.
Each part is worth 24 (total members) divided by 8 (total parts), giving us 3 people per part. Since the ratio represents 3 parts for women, we multiply the number of people per part by the number of parts for women: 3 parts times 3 people per part equals 9 people. Therefore, there are 9 women on the committee.
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Mr. Duke worked for a real-estate Agency. He sold a house for $225,000. The agency’s fee for the sale was 3% of the sale price. Mr. Duke received $3712.50 of the agency’s fee as his commission. What percent of the agency’s fee did Mr. Duke receive?
Answer:
Mr. Duke received 1.65% percent of the agency's fee.
Step-by-step explanation:
Given:
Mr. Duke worked for a real-estate Agency.
He sold a house for $225,000. The agency’s fee for the sale was 3% of the sale price.
Mr. Duke received $3712.50 of the agency’s fee as his commission.
Now, to find the percent of the agency's fee Mr.Duke receive.
Mr. Duke sold house = $225,000.
Mr.Duke received = $3712.50.
So, to get the percent of agency's fee Mr. Duke receive:
[tex]\frac{3712.50}{225000} \times 100[/tex]
[tex]=0.0165\times 100[/tex]
[tex]=1.65\%.[/tex]
Therefore, Mr. Duke received 1.65% percent of the agency's fee.
Prince is 6n years old. jordan is (3n + 10) years older than prince
a) find jordans age
b) find the total age of prince and jordan
c) kimberly is 9 yrs younger than prince. find kimberlys age
d) find the total age of three people
e) if n = 4 find the total age of the 3 people
Answer:
a) 9n + 10 years.
b) 13n + 10 years.
c) 6n - 9 years
d) 19n + 1 years.
e) 77 years.
Step-by-step explanation:
a) Prince is 6n years old. Jordan's age is (3n + 10) years more than Prince.
So, Jordan's age is (6n + 3n + 10) = 9n + 10 years.
b) The total age of Prince and Jordan will be (6n + 9n + 10) = 13n + 10 years.
c) Kimberly's age is 9 years less than Prince.
So, the age of Kimberly will be 6n - 9 years.
d) The total age of the three people will be (6n - 9 + 13n + 10) = 19n + 1 years.
e) If n = 4, then total age of three people will be 19(4) + 1 = 77 years. (Answer)
Given triangle FGH similar to triangle LMN, which must be true? Select all that apply
Answers:
A. True
B. True
C. True
D. False
E. True
In short, only answer choice D is false. Everything else is true.
=================================
Explanations:
A. The ordering of FGH and LMN is important. This is because F and L pair up as the first letters of the triple letter sequences, so do G and M as the second letters. Segment FG pairs up with LM because we're talking about the first two letters of both sequences. At the same time, FH and LN pair up because they are composed of the first and third letters of FGH and LMN respectively. Due to the triangles being similar, we can say FG/LM = FH/LN, ie we have a proportion.
------------------
B. Segment LN is proportional to FH, as explained back in part A. For example, FH could be 10 times longer than LN, making FH = 10*LN. Once the scale factor is set, you must use it for the other pairs of sides as well.
------------------
C. Similar triangles have corresponding angles that are congruent. This means F = L, G = M and H = N. Dividing the measure of F over the measure of L leads to 1 (regardless of what the angles happen to be) due to the rule x/x = 1, where x is nonzero. The same thing happens with dividing the measures of angle G over angle M. We get 1 on both sides after simplifying this given equation, so it is a true equation.
-----------------
D. Similar triangles are not congruent, so their corresponding side lengths are not congruent either.
-----------------
E. As explained back in part C, the corresponding angles are congruent because we know the triangles to be similar. The ordering of the letters matter. Angles H and N are the third letters of FGH and LMN respectively, which is why they pair up and are congruent.
The correct options are A, B, C and E.
It is given that,
Triangle FGH is similar to triangle LMNExplanation:
The triangles FGH and LMN are similar, so their corresponding angles are congruent and corresponding sides are proportional.
[tex]\dfrac{FG}{LM}=\dfrac{FH}{LN}[/tex]
It means option A is correct.
[tex]FH\sim LN[/tex]
It means option B is correct.
Using the definition of similarity,
[tex]\angle F\cong \angle L,\angle G\cong \angle M,\angle H\cong \angle N[/tex]
[tex]\dfrac{m\angle F}{m\angle L}=\dfrac{m\angle G}{m\angle M}=1[/tex]
It means option C is correct.
Corresponding sides are similar, not congruent. So, the statement [tex]GH\cong MN[/tex] is false.
It means option D is incorrect.
[tex]\angle H\cong \angle N[/tex]
It means option E is correct.
Thus, the correct options are A, B, C and E.
Learn more:
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What is the value of x in this equation
1.54x+6.814=8.2
Final answer:
To find the value of x in the equation 1.54x + 6.814 = 8.2, isolate x by subtracting 6.814 from both sides and then dividing by 1.54, which results in x = 0.9.
Explanation:
The question asks for the value of x in the equation 1.54x + 6.814 = 8.2. To solve for x, follow these steps:
Subtract 6.814 from both sides of the equation to isolate the term with x on one side: 1.54x + 6.814 - 6.814 = 8.2 - 6.814, which simplifies to 1.54x = 1.386.
Divide both sides of the equation by 1.54 to solve for x: x = 1.386 / 1.54.
Calculating the division gives x = 0.9.
The value of x in the equation 1.54x + 6.814 = 8.2 is 0.9.
Consider the Piece-Wise graph described by the following equation:
Determine the coordinates of the point on the graph where x=3.
(3, 1)
(3, 3)
(3, 5)
(3, 13)
Answer:
Hey, Dalilah. I hope I'm not too late, but the answer is (3,5).
Step-by-step explanation:
You have to use the equation that includes the x value of 3.
4x+1 only includes x values that are less than 3.
2x-1 includes x values that are greater than or equal to 3.
I plugged 3 into both of these equations (4x+1; x < 3 & 2x-1; x ≥ 3) in order to see which equation would've been true.
4(3)+1 = 13; 13 < 3 [False] 13 isn't less than 3 -- and 2(3)-1 = 5; 5 ≥ 3 [True] 5 is greater than or equal to 3.
Since the equation 2(3)-1; 5≥3 is true, you should use this equation. I used Demos in order to graph Y=2(3)-1. At the bottom of that I put x=3, and it showed me (3,5).
I'll post the pictures for proof and better clarification if this is confusing, love.
Subtract (-x - 2) - (4x + 3)
Answer:
-5x-5
Step-by-step explanation:
Because when you distribute your - into 4x + 3 then you are going to have. big equation like -x-2-4x-3. And then when you simplify it its going to be -5x-5.
Answer:
-x-2-4x-3 (distribute the negative)
-5x-5
Mark brainliest!!
LAST 2 MATH QUESTIONS FOR TODAY and if since it's two questions, I'm giving 15 pts.
Answer:
JK and CB.
JL and AB.
Step-by-step explanation:
Corresponding sides.
a developer wants to develop 5 acres of land. Each lot in the develope is to be 1/12 of an acre. How many lots will the land developer have in the 5 acres?
Final answer:
The land developer can create 60 lots of 1/12 acre each from a 5-acre parcel of land.
Explanation:
The student's question asks how many lots of 1/12 acre each can be created from a 5-acre parcel of land. To find the answer, divide the total acres available (5 acres) by the size of each lot (1/12 acre). Using division for fractions, we invert the divisor and multiply:
5 ÷ (1/12) = 5 × (12/1) = 60
Therefore, the land developer will be able to create 60 lots from the 5 acres.
What is x exponent 2 + 3x - 4 = 6X
Answer:
x=-2/3
Step-by-step explanation:
2+3x-4=6x
2-4=6x-3x
-2=3x
x=-2/3
| 12) 5124.
What is 12 divided by 5124
0.0023419203747073 but i think you mean 5124 by 12 and that is 427
Aliyah and her friends are going on a road trip that is 32 3/4 miles long. They have already driven 12 1/2 miles. How much farther do they have to drive? Answer in decimal form
Answer:
They have to drive [tex]20\frac{1}{4}[/tex] miles more
Step-by-step explanation:
Given:
Total Distance of the road trip = [tex]32 \frac{3}{4}[/tex] miles
Distance travelled already = [tex]12 \frac{1}{2}[/tex] miles.
To Find:
How much farther do they have to drive = ?
Solution:
The distance they have to travel farther = Total distance - distance travelled
The distance they have to travel farther = [tex]32 \frac{3}{4} - 12 \frac{1}{2}[/tex]
=>[tex]\frac{128 + 3}{4} - \frac{24 +1}{2}[/tex]
=>[tex]\frac{131}{4} - \frac{25}{2}[/tex]
=>[tex]\frac{131- 50}{4}[/tex]
=>[tex]\frac{81}{4}[/tex]
=>[tex]20\frac{1}{4}[/tex]
Can someone please help me with this?
Answer:
The coordinates will be (-8, -6), (-4, -6), (10, 8), (6, 8).Step-by-step explanation:
As per the given image, the co-ordinates are, P(-4, -3), Q(-2, -3), R(5, 4) and S(3, 4).
Since, the scale factor is 2 and centered at the origin, we need to multiply the co-ordinates with 2 in order to get the co-ordinates of the figure after dilation.
Hence, the co-ordinates will be
P = (-8, -6)
Q = (-4, -6)
R = (10, 8)
S = (6, 8).
does this represent a function why or why not
Answer:
the answer is B.
Step-by-step explanation:
According to the x and y axis, it shouild be B.
Answer:
I cannot see the screenshot
Step-by-step explanation:
A shoreline is eroding at rate of 2 5/18 feet each year at this rate,how many feet will the shoreline erode in 8 years
The shoreline will erode approximately 22 7/9 feet in 8 years.
Explanation:To find the total erosion over 8 years, we can use the given rate of erosion per year. The rate is 2 5/18 feet each year, and to calculate the total erosion over 8 years, we can multiply this rate by the number of years.
[tex]\[ \text{Rate of erosion per year} = 2 \frac{5}{18} \text{ feet} \][/tex]
[tex]\[ \text{Total erosion over 8 years} = \text{Rate of erosion per year} \times \text{Number of years} \][/tex]
[tex]\[ \text{Total erosion} = 2 \frac{5}{18} \times 8 \][/tex]
To perform this calculation, first convert the mixed number into an improper fraction:
[tex]\[ \text{Total erosion} = \frac{41}{18} \times 8 \][/tex]
Multiply the numerators and denominators:
[tex]\[ \text{Total erosion} = \frac{328}{18} \][/tex]
Now, simplify the fraction:
[tex]\[ \text{Total erosion} = 18 \frac{2}{18} \][/tex]
Thus, the shoreline will erode approximately[tex]\(18 \frac{2}{18}\) feet in 8 years, which simplifies to \(18 \frac{1}{9}\) or \(22 \frac{7}{9}\) feet.[/tex]
The first three steps in determining the solution set of the system of equations, y = x2 - 2x + 8 and y = 2x + 11, algebraically
are shown in the table.
Step
Step 1
Step 2
Step 3
Equation
-X° -2x+8 - 2x+11
0 - x² + 4x+3
0-(x + 1)(x+3)
Which represents the solution(s) of this system of equations?
(-3,-1)
(-3,5)
(-3,5) and (-1,9)
(1, 13) and (3, 20)
Answer:
(-3,5) and (-1,9)
Step-by-step explanation:
x+1 = 0 ; x + 3=0
x = -1 ; x = -3
y = 2*-1 +11 ; y = 2*-3 +11
y = -2+11 = 9 ; y = -6 +11 =5
Answer: (-3,5) and (-1,9)
Step-by-step explanation:I ain’t gonna lie stole this mans answer but for trust reasons
What is the missing length?
10.2 cm
a
area=51 cm2
Answer:
a = 10 cm
Step-by-step explanation:
Area of triangle, A = 51 cm²
base, b = 10.2 cm
Let height of triangle be a cm
Formula:-
[tex]A=\dfrac{1}{2}\times a\times b[/tex]
[tex]51=\dfrac{1}{2}\times a\times 10.2[/tex]
[tex]a=\dfrac{51\times 2}{10.2}[/tex]
[tex]a=10[/tex]
hence, the missing length is 10 cm
sasha cuts four idenetical circles from a square piece of black poster board as shown what is the left over board use 3.14 for pi
Answer:
therefore the left over board is 0.216[tex]a^{2}[/tex] where 'a' is length of a side of the black poster board.
Step-by-step explanation:
i) Sasha cuts 4 identical circles from a square piece of black poster.
ii) let each side of the square piece be a.
iii) let us divide the square piece into four equal square parts from which the four identical circles will be cut
iv) therefore the side of each smaller square will be [tex]\frac{a}{2}[/tex].
v) therefore the diameter of each identical circle will be [tex]\frac{a}{2}[/tex]
vi) therefore the radius if each of the four identical circles will be [tex]\frac{1}{2} \times \frac{a}{2} = \frac{a}{4}[/tex]
vii) the area of each of the four identical circles will be = [tex]\pi \times (\frac{a}{4} )^{2} = 3.14 \times (\frac{a}{4}) ^{2} = \frac{3.14a^{2}}{16} = 0.196a^{2}[/tex]
vii) the area of each of the four smaller squares = [tex]\frac{a}{2} \times \frac{a}{2} = \frac{a^{2} }{4} = 0.25a^{2}[/tex]
viii) therefore the area left over from each of the four smaller squares
= 0.25[tex]a^{2}[/tex] - [tex]0.196a^{2}[/tex] = 0.054[tex]a^{2}[/tex]
ix) therefore the left over board is given by 4 [tex]\times[/tex] 0.054[tex]a^{2}[/tex] = 0.216[tex]a^{2}[/tex] where a is length of a side of the black poster board.
Is 7900 100 times as much as 79
Answer:
no
but 79 is as much smaller than
7900100
by 100001.2658
Step-by-step explanation:
that means that 7900100 is as much as 79 of 100001.2658.
I hope dis will help
Mrs. Myles has 54 cookies to give to the 18 students in her class. Write a number sentence using the variable c to represent the number of cookies each student gets. A) 18 = 54c B) 54 × 18 = c C) 54 - 18 = c D) 54 ÷ 18 = c
Answer:
The correct answer is D. 54 ÷ 18 = c
Step-by-step explanation:
Let's review the information given to us to answer the question correctly:
Number of cookies Mrs. Myles has to give to the students = 54
Number of students in Mrs. Myles class = 18
2. Write a number sentence using the variable c to represent the number of cookies each student gets.
c = Number of cookies Mrs. Myles has to give to the students/Number of students in Mrs. Myles class
Replacing with the real values, we have:
c = 54/18
The correct answer is D. 54 ÷ 18 = c
2X plus 5 minus X plus 3X plus X -2
Answer:
=5x+3
Step-by-step explanation:
i need help!!
The recreation department is sending out flyers for the upcoming summer sessions. Marilyn and her three friends are putting labels on each flyer. So far, they have shared the work evenly and labeled 200 total flyers. If they continue to share the work evenly, which simplified expression represents the total number of flyers each girl will label? Let f represent the number of additional flyers.
A. 100 + 4f
B. 100+ f/4
C. 200+ f/4
D. 50+ f/4
Marilyn, Sharon, and Rhonda collect earrings. Marilyn has half as many earrings as Sharon. Rhonda has 15 more earrings than Marilyn. Let x represent the number of earrings that Sharon has. Which algebraic expression represents the number of earrings Rhonda has?
A. x +15
B. 0.5x+15
C. x-15
D. 15-0.5x
Hector, Sam, Ted, and Gina are comparing their savings. Hector saved twice as much money as Sam. Ted saved $100 more than Hector. Gina saved $50 less than Ted. Let x represent the amount of money Sam has in savings. Which algebraic expression represents the amount of money Gina has?
A. 2x+50
B. 2x-50
C. x+150
D. x-50
The total number of flyers each girl will label is represented by the expression 200 + 4f. The number of earrings Rhonda has is represented by the expression 0.5x + 15. The amount of money Gina has is represented by the expression 2x + 50.
Explanation:To find the total number of flyers each girl will label, we can set up an equation. Let f represent the number of additional flyers each girl will label. Since they have already labeled 200 flyers and are sharing the work evenly, each girl will label the same number of flyers. So, we can set up the equation: 200 + 4f = total number of flyers
To simplify this expression, we can combine like terms. The simplified expression representing the total number of flyers each girl will label is 200 + 4f.
For the second question, let x represent the number of earrings that Sharon has. Because Marilyn has half as many earrings as Sharon, Marilyn has 0.5x earrings. Rhonda has 15 more earrings than Marilyn, so she has 0.5x + 15 earrings. Therefore, the algebraic expression representing the number of earrings Rhonda has is 0.5x + 15.
For the third question, let x represent the amount of money Sam has in savings. Since Hector saved twice as much money as Sam, Hector has 2x in savings. Ted saved $100 more than Hector, so Ted has 2x + 100 in savings. Gina saved $50 less than Ted, so Gina has 2x + 100 - 50 in savings. Therefore, the algebraic expression representing the amount of money Gina has is 2x + 50.