Answers
Answer:
(x -3)/4
Step-by-step explanation:
You multiply rational expressions the same way you multiply fractions. The numerator is the product of the numerators; the denominator is the product of the denominators. Same factors in numerator and denominator cancel to reduce the product to lowest terms.
[tex]\dfrac{3(x-3)}{3}\cdot\dfrac{x-7}{4(x-7}=\dfrac{x-3}{1}\cdot\dfrac{1}{4}=\boxed{\dfrac{x-3}{4}}[/tex]
We cancelled the factors of 3 from the first expression, and the factors of (x-7) from the second expression. The final product is the product of the reduced rational expressions.
Related Questions
Suppose B is the point (4, -2) and A is the point (-6, 3).
Find point C so that point B is the midpoint of segment AC
Answers
Answer: (14, -7)
Step-by-step explanation:
The price of Stock A at 9 A.M. Was $14.17. Since then, the price has been increasing at the rate of $0.11 each hour. At noon the price of Stock B was $14.67. It begins to decrease at the rate of $0.16 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answers
Answer:
0.63 hours
Step-by-step explanation:
We are told that at 9am, the price of Stock A was $14.17 and we are told it increases by $0.11 each hour.
Thus, for x hours, the price will be;
P_a = 14.17 + 0.11x
Now,by noon, it would have been 3 hours.
Thus;
P_a = 14.17 + 0.11(3)
P_a = 14.17 + 0.33
P_a = $14.50
Now, at that same noon, another product known as stock B had a price of $14.67. We are told it begins to decrease at the rate of $0.16 each hour.
Now, we want to find how many how many hours will the prices of the two stocks be the same. If the number of hours is x, this means that;.
14.5 + 0.11x = 14.67 - 0.16x
Rearranging,we have;
0.11x + 0.16x = 14.67 - 14.5
0.27x = 0.17
x = 0.17/0.27
x = 0.63 hours
What fraction of 5 is 3?
Answers
Step-by-step explanation:
5÷3=5/3 .The Numerator is > Denominator. So the fraction 5/3 is an Improper Fraction.
So the Proper Factored Form=1+2/3=1 2/3.
In fact 1 2/3 is a Mixed Fraction. But since its Numerator 2 < Denominator 3 ( of the Factional part)
The mathematical interpretation of "what fraction of 5 is 3?" is 5/3
First, we need to identify the numerator and the denominator
The numerator is the number on top of a fraction
The denominator is the number beneath a fraction
Since 3 is said to be a fraction of 5:
The numerator = 5
The denominator = 3
Fraction = Numerator / Denominator
Fraction = 5/3
Therefore, the mathematical interpretation of "what fraction of 5 is 3?" is 5/3
Learn more here: https://brainly.com/question/9492789
Each piece of fruit weighs 3/5 pounds
Write how many pieces of fruit you need so the total weight, in pounds is within the giving range
Between 1 and 1 1/2 pounds. (___)
Between 2 and 2 1/2 pounds. (__)
Answers
Answer:
Between 1 and 1 1/2 pounds. (_8__)
Between 2 and 2 1/2 pounds. (_1_)
To make sure that a given parallelogram is a rectangle, at least hon many of
its angles must measure 90°?
A. Four
B. Two
C. Three
D. One
Answers
Answer:
D. One
Step-by-step explanation:
A parallelogram will have two sets of equal sides. Since we have that fact, all we need to know are the angles.
A quadrilateral will have a total of 360° in its angles. If only one angle is equal to 90°, then we can do the math to figure out that all the others must be 90° as well. A rectangle is a parallelogram with the opposite sides being parallel and all the angles being 90°. This then answers the question.
"The Math"
-> Keep in mind there will be four angles
-> Once we subtract the first angle of 90°, we will have three angles left. Hence why we divide by 3.
360° - 90° = 270°
270° / 3 = 90° ✓
To make sure that a parallelogram is a rectangle, at least one angle must be 90°. The correct answer is D.
What is Parallelogram?A parallelogram is defined as a special type of quadrilateral that has both pairs of opposite sides parallel and equal.
Let consider given parallelogram be ABCD.
All of the angles of a parallelogram must be 90° for it to be a rectangle.
Let ∠A = 90°.
Since opposite angles of a parallelogram are equal
So, ∠C = ∠A = 90°
And adjacent angles are supplementary and their sum is 180°.
So, ∠A + ∠B = 180°.
∠B = 180°- ∠A = 180° - 90° = 90°
As we know that opposite angles of a parallelogram are equal
So, ∠D = ∠B = 90°.
If all four angles are right angles (90°), then given one angle = 90°.
To make sure that a parallelogram is a rectangle, at least one angle must be 90°.
Learn more about parallelograms here:
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Step 2 - Fill in the missing number:
2
1 -3 -10 24
a
a =
Answers
Answer:
First part: k=2
Second part: a=1
Third part: b=2 c=-1 d=-2
Forth part: x^2-x-12
Step-by-step explanation:
What is the mean?
5, 10, 8, 9, 9, 9
TYPE ONLY THE NUMERIC ANSWER (Round to the nearest tenths place)
Answers
Answer:
8.3
Step-by-step explanation:
5+10+8+9+9+9=50
50/6=8.333333333333333333333333333333333333333333
=8.3
Answer:
The mean is basically the average.
In order to find avergae you add up all the given numbers and then divide it by the amount of given numbers.
in this case…
5 + 10 + 8 + 9 + 9 +9 = 50
There are 6 given values, which are 5, 10, 8, 9, 9, 9.
We divide 50 (the total number) by the given amount (6).
50/ 6 = 8.33333…
Your answer is 8.3
on a number line, the length of GD is 18. If the coordinate of the midpoint A of GD is 0, what are the coordinates of the points G and D?
Answers
Answer:
coordinates of : G = -9 , D = 9
I’ll mark brainliest!
Please help
And extra points !
Look at the picture above and the picture also asks How many seconds did it take the paper airplane to reach the ground ?
Please write at least 2 sentences explaining thank you!
Answers
Answer:
It would take the plane 3 seconds to reach the ground. Yhis is because after three seconds y=3.
Find the Volume of the Prism.
Height= 3cm
Length=8cm
Width=5cm
Please help
Answers
Step-by-step explanation:
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Using the empirical rule, what percentage of people have an IQ score between 70 and 130?
Answers
70 = 100 - 2•15 is 2 s.d.'s below the mean.
130 = 100 + 2•15 is 2 s.d.'s above the mean.
By the empirical rule,
Pr [70 ≤ X ≤ 130] = Pr [-2 ≤ Z ≤ 2] ≈ 95%
(where Z is normally distributed with mean 0 and s.d. 1)
What is Greatest value of 7,499
Answers
................……,.
Answer:
9 is the greatest value
Step-by-step explanation:
What is the value of the positive zero of the function defined by 15x2 + 100x – 70 – (17x – 6x2)?
A.
eq115910_a1
B.
eq115910_b1
C.
eq115910_c1
D.
eq115910_d1
Answers
Answer:
hello
15 x² + 100 x - 70 - 17 x + 6 x²
= 9 x² + 83 x - 70
9 x² + 83 x - 70 = 0
Δ = 83 ² - 4 ( 9 * - 70 ) = 6 889 + 2 520 = 9 409 = 97 ²
x 1 = ( - 83 - 97 ) / 18 = - 180/18 = - 10
x 2 = ( - 83 + 97 ) / 18 = 14 /18 = 7 /9
Step-by-step explanation:
Diane made 4 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 4 necklaces was $23.20. If the beads cost $2.90 for each necklace, how much did each pendant cost?
Answers
Answer:
what is the difference in length and the shortest length
The diameter of a cylinder is 5 yd. The height is 4 yd. What is the volume of the cylinder
Answers
Answer:
25 pi square yd OR rounded pi to 3.14: 78.5 square yd
Step-by-step explanation:
Use the formula volume of cylinder = base area × h to determine the value of the base area.
Diameter: 5 yd
Height: 4 yd
(5/2)^2 Pi x 4 = 25 pi square yd.
Answer:
78.5 yd
Step-by-step explanation:
= [tex]\pi[/tex]r²h
= (3.14)(2.5)²(4)
= (3.14)(6.25)(4)
= 19.625 x 4
= 78.5 yd
If 13cos theta -5=0 find sin theta +cos theta / sin theta -cos theta
Answers
Step-by-step explanation:
Need to FinD :We have to find the value of (sinθ + cosθ)/(sinθ - cosθ), when 13 cosθ - 5 = 0.[tex] \red{\frak{Given}} \begin{cases} & \sf {13\ cos \theta\ -\ 5\ =\ 0\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \big\lgroup Can\ also\ be\ written\ as \big\rgroup} \\ & \sf {cos \theta\ =\ {\footnotesize{\dfrac{5}{13}}}} \end{cases}[/tex]
Here, we're asked to find out the value of (sinθ + cosθ)/(sinθ - cosθ), when 13 cosθ - 5 = 0. In order to find the solution we're gonna use trigonometric ratios to find the value of sinθ and cosθ. Let us consider, a right angled triangle, say PQR.
Where,
PQ = Opposite sideQR = Adjacent sideRP = Hypotenuse ∠Q = 90°∠C = θAs we know that, 13 cosθ - 5 = 0 which is stated in the question. So, it can also be written as cosθ = 5/13. As per the cosine ratio, we know that,
[tex] \rightarrow {\underline{\boxed{\red{\sf{cos \theta\ =\ \dfrac{Adjacent\ side}{Hypotenuse}}}}}} [/tex]
Since, we know that,
cosθ = 5/13QR (Adjacent side) = 5RP (Hypotenuse) = 13So, we will find the PQ (Opposite side) in order to estimate the value of sinθ. So, by using the Pythagoras Theorem, we will find the PQ.
Therefore,
[tex] \red \bigstar {\underline{\underline{\pmb{\sf{According\ to\ Question:-}}}}} [/tex]
[tex]\rule{200}{3}[/tex]
[tex] \sf \dashrightarrow {(PQ)^2\ +\ (QR)^2\ =\ (RP)^2} \\ \\ \\ \sf \dashrightarrow {(PQ)^2\ +\ (5)^2\ =\ (13)^2} \\ \\ \\ \sf \dashrightarrow {(PQ)^2\ +\ 25\ =\ 169} \\ \\ \\ \sf \dashrightarrow {(PQ)^2\ =\ 169\ -\ 25} \\ \\ \\ \sf \dashrightarrow {(PQ)^2\ =\ 144} \\ \\ \\ \sf \dashrightarrow {PQ\ =\ \sqrt{144}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{PQ\ (Opposite\ side)\ =\ 12}}}}_{\sf \blue{\tiny{Required\ value}}}} [/tex]
∴ Hence, the value of PQ (Opposite side) is 12. Now, in order to determine it's value, we will use the sine ratio.
[tex] \rightarrow {\underline{\boxed{\red{\sf{sin \theta\ =\ \dfrac{Opposite\ side}{Hypotenuse}}}}}} [/tex]
Where,
Opposite side = 12Hypotenuse = 13Therefore,
[tex] \sf \rightarrow {sin \theta\ =\ \dfrac{12}{13}} [/tex]
Now, we have the values of sinθ and cosθ, that are 12/13 and 5/13 respectively. Now, finally we will find out the value of the following.
[tex] \rightarrow {\underline{\boxed{\red{\sf{\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}}}}}} [/tex]
By substituting the values, we get,[tex]\rule{200}{3}[/tex]
[tex] \sf \dashrightarrow {\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ {\footnotesize{\dfrac{\Big( \dfrac{12}{13}\ +\ \dfrac{5}{13} \Big)}{\Big( \dfrac{12}{13}\ -\ \dfrac{5}{13} \Big)}}}} \\ \\ \\ \sf \dashrightarrow {\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ {\footnotesize{\dfrac{\dfrac{17}{13}}{\dfrac{7}{13}}}}} \\ \\ \\ \sf \dashrightarrow {\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ \dfrac{17}{13} \times \dfrac{13}{7}} \\ \\ \\ \sf \dashrightarrow {\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ \dfrac{17}{\cancel{13}} \times \dfrac{\cancel{13}}{7}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ \dfrac{17}{7}}}}}_{\sf \blue{\tiny{Required\ value}}}} [/tex]
∴ Hence, the required answer is 17/7.
A, B & C form the vertices of a triangle.
∠ CAB = 90°,
∠ ABC = 51° and AB = 8.6.
Calculate the length of BC rounded to 3 SF.
Answers
Answer:
BC ≈ 13.7
Step-by-step explanation:
using the cosine ratio in the right triangle
cos51° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{8.6}{BC}[/tex] ( multiply both sides by BC )
BC × cos51° = 8.6 ( divide both sides by cos51° )
BC = [tex]\frac{8.6}{cos51}[/tex] ≈ 13.7 ( to 3 sf )
Write a system of equations and then solve by the method of your choice. Reserved seat tickets for the football game cost $4.00 each and general admission tickets cost $3.00 each. After the game is over, the turnstile count shows 1787 people attended the game. The total receipts were $5792. Find the number of each general admission tickets sold.
Answers
Given :
Reserved seat tickets for the football game cost $4.00 each and general admission tickets cost $3.00 each.
After the game is over, the turnstile count shows 1787 people attended the game. The total receipts were $5792.
To Find :
The number of each general admission tickets sold.
Solution :
Let, general admission are x.
So, Reserved seat tickets will be 1787 - x.
Now, total amount T = 3x + 4( 1787 - x )
T = $5792
3x + 4( 1787 - x ) = $5792
-x + 7148 = 5792
x = 1356
Therefore, the number of each general admission tickets sold are 1356.
Hence, this is the required solution.
Question 7
Find the distance between -2.5 and 1.8. (Draw a number line if necessary
to solve)
Answers
Answer:
-0.35
Step-by-step explanation:
(2.5+1.8)÷2 then minus from 1.8
4.3÷2=2.15
1.8-2.15= -0.35
0.97 in word formation
Answers
Answer:
97 hundreths or 97 cents
Step-by-step explanation:
Answer:
97 hundredths.
Step-by-step explanation:
9 is in the tenths place, but that means .9 is also 9 hundredths. With the 7 in the hundredths place, .97 is 97 hundredths.
Hope this helps...have a great day! :3
A cylinder has a height of 15 meters and a diameter of 8 meters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answers
Answer:V≈3015.93
Step-by-step explanation:this is the answer
wht is the scale factor of the dialation above plzzzzzzzzzzzzzzz help meeeeeeeeeeeee dont help no one else untill u help me thxs
Answers
Answer:
i believe its 1.75 (i had to relearn this)
Step-by-step explanation:
1.75 times 28= 49
1.75 times 20= 35
The table shows the amount of money earned by three brothers doing chores. If Gary and David earned the
same amount of money, how much did Jason earn?
Answers
Answer:
x=12
Step-by-step explanation:
Whoever is in UK, pls can u tell me the price for....
- 1 oz of gold
-1 oz of silver
Thanks
Answers
Answer:
The price for 1 ounce of gold is around £1,451 which is around 1,922$ and the price for 1 ounce of silver is around £19.17 which is around 25$.
What is the median value of the data set shown on the line plot?
Enter your answer in the box.
Answers
Answer:
18
Step-by-step explanation:
PLEASE MARK AS BRAINLIEST
Which equation demonstrates the distributive property?
Answers
Answer:
C)
Step-by-step explanation:
The distributive property is
a(b + c) = ab + ac.
Choice C) shows the distributive property in reverse.
Answer: C)
use the substitution method to solve the system of equations. choose the correct ordered pairs
-x=-y-6
x+2y=12
a. (7,1)
b. (8,2)
c. (6,0)
d. (9,3)
Answers
Answer:
c. (6, 0)
Step-by-step explanation:
First, add y on both sides of the first equation, so it's easier to solve:
-x+y = 6
x+2y = 12
Then, add the 2 equations:
3y = 18
y = 6
Since c is the only one with a 6, we can deduce that the answer is c.
We can further check by plugging y back into the first equation:
-x+6 = 6
-x = 0
x = 0
This confirms that the answer is c.
I hope this helped.
A flower garden is shaped like a circle. Its diameter is 30 yd. A ring-shaped path goes around the garden. Its outer edge is a circle with diameter 36 yd.The gardener is going to cover the path with sand. If one bag of sand can cover 6 yd², how many bags of sand does the gardener need? Note that sand comes only by the bag, so the number of bags must be a whole number. (Use the value 3.14 for π.)
Answers
We started by finding the area of the two respective circles, then we found the area of the path, after which we estimated the number of sand bags needed to be 51.8 bags
Ans 51.8 bags
Area of CircleGiven data
Diameter of flower garden d = 30 ydDiameter of outer edge D = 36 ydNo of bags of sand = ??Area of path = Area of outer edge - area of garden
Area of path = πD^2/4 - πd^2/4
Area of path = 3.142*36^2/4 - 3.142*30^2/4
Area of path = 3.142*1296/4 - 3.142*900/4
Area of path = 4072.032/4 - 2827.8/4
Area of path = 1018.008 - 706.95
Area of path = 311.058 square yd
1 bag of sand will cover 6yd^2
x bags of sand will cover 311.058 yd^2
cross multiply we have
x = 311.058/6
x = 51.843 bags of sand
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PLEASE ANSWER QUICKLY ASAP
READ QUESTIONS CAREFULLY
Answers
Answer:
The answer is B and C . If you need the method I used to find it, contact me via comments on brainly.
Answer:
B and C
Step-by-step explanation:
on c i got exactly 25%
but on B i got 23% but B was the closest to 25% than A and D
What is the area of this triangle?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
Answers
Use the law of sins area formula A = .5bcsina