It takes Austin 8 hours longer than Elliott to construct a wooden chair in shop class. When the classmates work together, they can complete one chair in 3 hours. This situation can be represented by this expression, where t is the amount of time, in hours, it takes Elliott to complete a chair on his own.
The equivalent expression obtained using the least common multiple concept is [tex] \frac{6t + 24}{t^{2} +8}[/tex]
To solve, we need to obtain the L. C. M of the denominator values :
The L. C. M of t and t + 8 = [tex] t^{2} + 8t[/tex]
Hence,
[tex]\frac{3}{t} + \frac{3}{t+8} = \frac{6t + 24}{t^{2} +8}[/tex]
Therefore, the equivalent expression which represents the situation described above ls ;[tex] \frac{6t + 24}{t^{2} + 8t}[/tex]
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Answer:
D
Step-by-step explanation:
what are the three legal moves when using algebra tiles
Answer:
There are three types of “legal moves” in which you can preform on your expression math that help you simply an algebraic expression.
Flipping. Flipping a tile to move it out of one region into the opposite region (i.e., finding its opposite). ...
Zero Pairs.
Step-by-step explanation:
thats your answer :)
credit: Google1.Two cyclists are 7 miles apart when they begin biking away from each other in opposite directions. The speed of the first cyclist is 12 miles per hour. The speed of the second cyclist is b miles per hour greater than the speed of the first cyclist.
How many miles does the first cyclist bike in 45 minutes?
Answer:
9 miles
Step-by-step explanation:
If 1 hour is 12 miles, then 30 mins is 6 miles, then 15 minutes is 3 miles.
30+15=45
6+3=9
The first cyclist bikes 9 miles in 45 minutes.
Since two cyclists are 7 miles apart when they begin biking away from each other in opposite directions, and the speed of the first cyclist is 12 miles per hour, to determine how many miles does the first cyclist bike in 45 minutes the following calculation must be done:
60 = 12 45 = X 45 x 12/60 = X 540/60 = X 9 = X
Therefore, the first cyclist bikes 9 miles in 45 minutes.
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Can someone please help me ty!!
Answer:
1.) (k)=6
2.) y=6x
3.) (8,48)
4.) (k)=4
5.)y= 1/4x
6.) (12,3)
I hope this is good enough:
I will mark you brainlist
What are the steps on how to copy an angle? (Geometry)
Step-by-step explanation:
Make a point P that will be the vertex of the new angle.
From P, draw a ray PQ. ...
Place the compasses on point A, set to any convenient width.
Draw an arc across both sides of the angle, creating the points J and K as shown.
Hope this helps :)
I need to know ASAP! Thanks ^^
Answer:
PQ=30
Step-by-step explanation:
Knowing that the segment has 3 parts that are 3:1:1 and sum up to 50, you could find how much 1 would equal by finding the total in relation to the ratio (doing 3+1+1) which gets you 5 parts. Then you can divide the total (50) by 5 to figure out how much one part would equal (10). Now, since you know that 1 part is equal to 10 and that PQ is 3 parts, you can find that PQ is equal to 3x10, or 30.
9) What is the x-coordinate of point A in a triangle with vertexes in A (3, 5), B(6, – 3) and C (-2, - 2) after
undergoing a translation of 5 units to the right and 2 units down?
A because that's the only one that makes sence
Algebra 1 KK.12 Scatter plots: line of best fit Y2S
What is the equation of the trend line in the scatter plot?
10
9
8
7
6
5
.
4
3
2
1
.
.
.
09
1
2
3
4 5
6 7
8 9
10
Use the two yellow points to write the equation in slope-intercept form. Write any coefficients
as integers, proper fractions, or improper fractions in simplest form.
Answer:y= - 2x + 16
Step-by-step explanation:
Plzzzzz cannn someone he’lppppp meeeeee
Jaxon was asked 40 questions on a test he answered 80% incorrectly how many did he get correct
Answer:
8 correct.
Step-by-step explanation:
80 / 100 = x / 40 (Since he got 80% INCORRECT you will subtract the value of x from 40)
100x = 80 x 40
x = 3200 / 100
x = 32
40 - 32 = 8
Give a possible factorization of the following polynomial
EXPLAIN the behavior at each zero and
how that is represented in your function.
Answer:-4
Step-by-step explanation: that is the highest point it reaches on the y axis
When = 3, what will the value for y be for the equation - 4x + 5y = 18?
If x equals 3 then y must equal 1.2
Answer: y=6
-4(3)+5y=18
-12+5y=18
add 12 to both sides
-12+5y+12=18+12
5y=18+12
5y=30
divide both sides by 5
5y÷5=30÷5
y=30÷5
y=6
I hope this is good enough:
I will give Brainlyest if you are first
Answer: -4/7
brainiest pls
2. Sarah has some blue marbles, twice as many red marbles as blue, and 8 yellow marbles. If she has a total of 32 marbles, how
many red marbles does she have?
A.8
B.12
C.16
D.24
Given:
Number of blue marbles, twice as many red marbles as blue, and 8 yellow marbles.
She has a total of 32 marbles.
To find:
The number of red marbles.
Solution:
Let number of blue marbles be x.
Then, number of red marbles = 2x
Number of yellow marbles = 8
Total number of marbles = 32
[tex]x+2x+8=32[/tex]
[tex]3x=32-8[/tex]
[tex]3x=24[/tex]
[tex]x=8[/tex]
Now,
Number of red marbles [tex]=2(8)=16[/tex]
Therefore, there are 16 red marbles.
Annie bought a gym membership that cost $50 when she signed up and
then she paid $10 each time she visited. If "V" represents the number of
times Annie went to the gym before she canceled her membership, which
of the following expressions best shows the total amount the gym
membership cost her?*
10V - 50
50v + 10
50 - 10v
V + 50 + 10
50 +10v
50 + 10/v
Answer:
50+10v should be the right answer.
What is the value of x in the equation One-third x minus two-thirds = negative 18? –56 –52 52 56 Need answer ASAP!!!! Being Timed
Answer:
Step-by-step explanation:
fhv
Noa buys 6 items that each cost $4.25 and 3 items that each cost $6.75. How much does Noa spend in total?
$20.25
$25.50
$38.25
$45.75
The first two steps in the derivation of the quadratic formula by completing the square are shown below.
Which answer choice shows the correct next step?
step 1: ax^2 + bx + c = 0
step 2: ax^2 + bx = -c
ax + b = -c/x
Answer:C
Step-by-step explanation:
The derivation of the quadratic function is true
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
ax² + bx + c = 0
Step 1 :
ax² + bx + c = 0
Step 2 : Subtracting c on both sides , we get
ax² + bx = -c
Step 3 : Divide by x on both sides , we get
ax + b = -c/x
Hence , the steps are true in solving the quadratic equation
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Evaluate 5x-2w+t
Help needed!!
the answer is the same
The value of x is (2w - t)/5.
The value of w is (5x + t)/2.
The value of t is 2w - 5x.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
5x - 2w + t = 0
Solve for x.
5x - 2w + t = 0
5x = 2w - t
x = (2w - t)/5
Solve for w.
5x - 2w + t = 0
5x + t = 2w
w = (5x + t)/2
Solve for t.
5x - 2w + t = 0
t = 2w - 5x
Thus,
The value of x, w, and t is given above.
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A car travels 54.9 miles in an hour. If the car continues at the same speed for 12 hours, how many miles will it travel? Round to the nearest whole mile. *
Answer:
658.8 so 659
Step-by-step explanation:
Jack and Jill are going up the hill to pull weeds. Jack can pull all of the weeds by himself in 8 hours; if Jill helps him they can pull the same amount of weeds in 5 hours. How long would it take Jill to pull the weeds working alone?
Answer:
it would take jill 12 hours
Answer:
13.3 hours
Step-by-step explanation:
5/8 +5/b = 1
8b(5/8+5/b=1)
5b+40=8b
40=3b
40/3=b
40/3=13.3 hours
Evaluate the following expression if x=12, y=6, and z=-4
Answer:
wheres the expression
Step-by-step explanation:
can someone pls help me out
Answer:
1. y=1/5x-1 2/5
2. y=-1/2x+1/2
Step-by-step explanation:
A star-patterned quilt has a star with the angles shown. What is the value of x? The diagram is not to scale.
Answer:
x = 81
Step-by-step explanation:
x + 24 = 105
Subtract 24 from both sides
x = 81
Simple.
The value of x is 81.
what is exterior angle property?If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.
Given:
<1 = x
<2 = 24
exterior angle = 105
Now, using exterior angle property
105 = x +24
x= 105 - 24
x= 81
Hence, the value of x is 81
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Please help!!! Brainliest?
For each 90 mm of coloured fabric Paul uses to make his curtains, he also uses 10 cm of white fabric. Express the amount of white fabric to coloured fabric as a ratio in its simplest form.
There are 30 students Ms. Washington’s class. Sixteen of the students are in band. What percent of Ms. Washington’s class is in band?
Answer: 53.33
Step-by-step explanation:
what is the equation shown on this graph?
Answer:
y=1
Step-by-step explanation:
there is no slope therefore dont place it. however there is a Y intercept.
HELP PLEASE ITS DUE TODAY
Answer:
6/10, 9/15, 12/20, 15/25, 18/30, etc so Edgar is wrong. 3/5 is not equivalent to 18/32
Step-by-step explanation:
(Gimme Brainliest Please)
