Answer:
700
Step-by-step explanation:
Hope this helps!
The problem is a mathematical exercise in determining the total number of movies rented from the provided percentage of those returned. By setting up an equation and solving it, we find that the total number of movies rented was 700.
Explanation:The student's question is on a mathematical concept related to percentages and determining the whole from a percentage portion. From the information provided, 434 movies, which represent 62% of the total number of movies rented last week, were returned. To calculate the total number of movies rented, we can let the total be x. With this, the equation representing the scenario is 0.62x = 434.
By solving for x, we get x = 434 / 0.62. After the calculation, we find that the total number of movies rented last week was 700. Therefore, the store originally rented out 700 movies.
Remember that when dealing with percentages, the percentage value (in this case, 62%) must be converted into decimal form before performing any calculation. This is done by dividing the percentage by 100, thus 62% becomes 0.62. For clarity, here's the step-by-step procedure:
Convert the percentage (62%) to a decimal (divide by 100): 0.62.Set up the equation where 62% of total movies rented (x) equals the number of movies returned (434).Solve for x by dividing the number of returned movies by the decimal percentage: x = 434 / 0.62.Conclude that 700 is the total number of movies rented out.
f(x)=3x−7−−−−−√3f(x)=2
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.
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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
What is the answer to this equation
Answer:
8^2 x 3.14 x 6
Step-by-step explanation:
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.
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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
STAAR Category 3
Grade 8 Mathematics
TEKS 8.100
5. Two picture frames are similar. The dimensions of the smaller frame are 4 inches by 9 inches. The
larger frame has dimensions 12 inches by x inches.
4 inches
12 inches
9 inches
x inches
What is the perimeter of the larger frame?
A 30 inches
B 42 inches
C 78 inches
D 96 inches
Answer:
i think that it's c
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.
Clarence bought a pair of running shoes for $7 less than the regular price. If he paid $29, what was the regular price.
Answer: $34
Step-by-step explanation:
Basically just 29+7
=34
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
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.
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
Let p: x=4 let q:y=-2
Question:
Let p: x = 4 Let q: y = −2 Which represents "If x = 4, then y = −2”? p ∨ q p ∧ q p → q p ↔ q
Answer:
Option c: p → q
Explanation:
Option a: p ∨ q
p ∨ q means that either p is true or q is true or both are true.
Hence, Option a is not the correct answer.
Option b: p ∧ q
p ∧ q means that both p and q are true.
Hence, Option b is not the correct answer.
Option c: p → q
p → q means that if p is true, then q is also true.
Hence, Option c is the correct answer.
Option d: p ↔ q
p ↔ q means that if p is true, then q is true. If q is true, then p is true.
Hence, Option d is not the correct answer.
Thus, p → q is the correct option.
Which expression represents “seven less than three times a number”?
A.7 - 3n
B.3n - 7
C.3 - 7n
D.7n - 3
Answer:
B. 3n-7
Step-by-step explanation:
The words seven less than means that seven will be subtracted. 3 times a number means that 3 is being multiplied by an unknown value or variable. Thats how you get 3n - 7
three times a first number minus a second number equals negative forty The first number plus twice the second number equals negative forty
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!!
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.
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.
(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:
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.
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).
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
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:
I NEED HELP ASAP PLS PLS PLS OR IMA FAIL
Ms. Lee is packing orders for her soap business. One customer ordered 12 bars of her Orange You Fresh soap. If each bar of soap weighs 4 ounces, how many pounds will this order weigh?
Answer:
48...
Step-by-step explanation:
12(4) equals 48oz
48oz= 3lb
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.
| 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]
NEED ANSWERS NOW
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.
Pls help me solve for x in 2/3=x/4+x/3
Answer:
x=8/7
Step-by-step explanation:
2/3=x/4+x/3
3x/12+4x/12=8/12
7x/12=8/12
x=(8/12)/(7/12)
x=(8/12)(12/7)
x=8/7
the length of a rectangle is five times its width. If the perimeter of the rectangle is 120 inch find its area
The area of the rectangle is 2000 square inches.
Given that the length of a rectangle is five times its width, if the perimeter of the rectangle is 120 inch, the following calculation must be performed to find its area:
5X + X = 120 6X = 120 X = 120/6 X = 20 100 x 20 = Area 2000 = Area
Therefore, the area of the rectangle is 2000 square inches.
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The width of the rectangle is 10 inches and the length is 50 inches. The area of the rectangle is 500 square inches.
Explanation:Let's denote the width of the rectangle as w. Since the length of the rectangle is five times its width, we can write the length as 5w. The formula for the perimeter of a rectangle is P = 2(l + w), so we can set up the equation 120 = 2(5w + w). Solving this equation, we find that the width is 10 inches and the length is 50 inches.
To find the area of the rectangle, we use the formula A = l * w. Plugging in the values for length and width, we get A = 50 * 10 = 500 square inches. Therefore, the area of the rectangle is 500 square inches.
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