Answer:
[tex]\displaystyle A=\frac{x-2}{x+3}[/tex]
[tex]\displaystyle B=\frac{-5}{(x+3)(x+2)}[/tex]
Step-by-step explanation:
We need to find two expressions with unlike denominators what sum
[tex]\displaystyle S=\frac{x-3}{x+2}[/tex]
Let's suppose one of the expressions is:
[tex]\displaystyle A=\frac{x-2}{x+3}[/tex]
Now we subtract S minus A to find the other expression B:
[tex]\displaystyle B=S-A=\frac{x-3}{x+2}-\frac{x-2}{x+3}[/tex]
Multiply the first fraction by x+3 and the second by x+2;
[tex]\displaystyle B=(x+3)\frac{x-3}{(x+3)(x+2)}-(x+2)\frac{x-2}{(x+3)(x+2)}[/tex]
Operating:
[tex]\displaystyle B=\frac{x^2-9}{(x+3)(x+2)}-\frac{x^2-4}{(x+3)(x+2)}[/tex]
Subtracting both fractions with like denominators:
[tex]\displaystyle B=\frac{x^2-9-(x^2-4)}{(x+3)(x+2)}[/tex]
Simplifying:
[tex]\displaystyle B=\frac{-5}{(x+3)(x+2)}[/tex]
Thus the two expressions are:
[tex]\displaystyle A=\frac{x-2}{x+3}[/tex]
And
[tex]\displaystyle B=\frac{-5}{(x+3)(x+2)}[/tex]
Given parallelogram SNOW, diagonals SO and NW intersect at D.
If SD = 9x+5 and OD = 13X - 3, find the length of SO
Answer:
The length of SO is 46 units
Step-by-step explanation:
In a parallelogram, diagonals bisect each other, which means meet each other in their mid-point
∵ SNOW is a parallelogram
∵ SO and NW are diagonals
∵ SO ∩ NW at point D
→ That means D is the mid-point of SO and NW
∴ D is the mid-point of SO and NW
∵ D is the mid-point of SO
→ That means D divide SO into two equal parts SD and DO
∴ SD = DO
∵ SD = 9x + 5
∵ DO = 13x - 3
→ Equate them
∴ 13x - 3 = 9x + 5
→ Subtract 9x from both sides
∵ 13x - 9x - 3 = 9x - 9x + 5
∴ 4x - 3 = 5
→ Add 3 to both sides
∵ 4x - 3 + 3 = 5 + 3
∴ 4x = 8
→ Divide both sides by 4
∴ x = 2
→ To find the length of SO substitute the value os x in SD and DO
∵ SO = SD + DO
∵ SD = 9(2) + 5 = 18 + 5 = 23
∵ DO = 13(2) - 3 = 26 - 3 = 23
∴ SO = 23 + 23 = 46
∴ The length of SO is 46 units
A college cafeteria pays student cashiers $540 per hour. Cashiers earn an additional
$110 per hour for each hour worked over 35 hours per week. A cashier worked 39
hours one week and 37 hours the second -week. Show and explain to the cashier how her salary
would be calculated in this two-week period?
Answer:
total hr worked = 39 + 37 = 76 hr
salary per hr = 110 $
so total salary = 110 * 76 = 8360$
Sarah says that 26 ÷ 8 equals 14 ÷ 4 because both are “3 R2.” Show her mistake using decimal division. What is 26 ÷ 8? Give your answer in decimals. 26 ÷ 8 =___. Please helpppppp
Answer: 3.25
Step-by-step explanation:
Sarah made a.mistaje when she was reducing 26 ÷ 8. It should be noted that 2 is a common factor to 26 and 8. Therefore 26÷2 = 13 and not 14 that Sarah wrote. Sarah should have written 13 ÷ 4 and not 14 ÷ 4.
26 ÷ 8 in decimal will give us 3.25
A tree measured 18 1/2 feet tall. Over the next 7 1/2 years, it grew to be 63 1/2 feet tall. During the 7 1/2years, what was the average yearly growth rate of the tree?
Step-by-step explanation:
first subtract how tall is was 7 1/2 years ago from hell with all it is now. 57 - 40.5 = 16.5 or 16 1/2 so and the seven and a half years the tree Grace 16.5 with 16 1/2 seats to get the average yearly growth for the 7 1/2 year. You have to divide 16 and 1/2 ft by 7 and 1/2 Tim Wiles it makes it much easier if you change the fractions to decimals
The Davis family is moving, and they estimate that they will need a truck with about 1,250 cubic feet. Which truck do would be best for them to rent?
Marcus bought a booklet of tickets to use at the amusement park. He used 50% of the tickets on rides, 13of the tickets on video games, and the rest of the tickets in the batting cage. Marcus says he used 10% of the tickets in the batting cage. Do you agree? Explain.
Given :
Marcus bought a booklet of tickets to use at the amusement park.
He used 50% of the tickets on rides, 13% of the tickets on video games, and the rest of the tickets in the batting cage.
To Find :
Marcus says he used 10% of the tickets in the batting cage.
Solution :
We know sum of all the percentage should be equal to 100.
So,
( % used on rides ) + ( % used on video game ) + ( % used in batting cage ) = 100
Let, % of ticket spend on batting cage is x.
50 + 13 + x = 100
x = 100 - ( 50 + 13 )
x = 37%
So, Marcus used 37% in batting cage.
Therefore, the statement by Marcus that he use 10% of the ticket in the cage is wrong.
No, i do not agree. To find this out, we will have to convert all of them into either decimals or percents. Let's convert these all into percents. A percent means 'out of 100', so if we add the percents all together, they should equal to 100. The rides is 50%. To convert 1/3 into a percent, divide the numerator by the denominator. You will get a decimal, so then multiply that by 100 or move the decimal two places to the right. So, 1 divided by 3 is equal to approximately 33%. Let's add 50 and 33 together. The total is 83%. So, like I said, a percent is out of 100. Subtract 83 out of 100 and you will get 17. So, the remaining percent has to be 17 percent, not 10%.
Hope it helps :)
HELP!!!!
When is Ann's distance from home increasing the fastest? give a reason to support your answer
If RT=6x+4 and SO =7x-6, what is the length of US
which of the following recursive formulas represents the same arithmetic sequence as the explicit formula an= -2 + (n-1)3?
Answer: C.[tex]\left \{ {{a1=-2} \atop {an=a(n-1)+3}} \right.[/tex]
because it is the arithmetic progression with d = 3
=> a(n) = a1 + (n - 1).3
so, have: a1 = -2
an = a(n-1) + 3
Step-by-step explanation:
Tracee buys a shirt for $15 and a pair of Jeans for $32.50. If the sales tax is 8% what is the total price Tracee pays for the items?
Answer:
38.00
Step-by-step explanation:
Hi! I need help on #25 ASAP. Thank you so much!!!
Answer: Hello! I believe the answer is 25/4. I'm so sorry if this is incorrect!
I need a favor could you all check if am correct.
2x+3/4(4x+16)=7
I need help finding x.. I don’t know how to do these problems with fractions :(
Answer:
x=-1
Step-by-step explanation:
2x+3/4(4x+16)=7
2x+(3x12)=7--->distributive property
2x+3x+12=7
5x+12=7--->addition property
5x=-5--->subtraction peroperty
x= -1---?division property
What is the value of the expression
3(w•8) + x
When w=1/4 and x=4
A 4
B 8
C 10
D 12
Answer:
The answer is ten or Letter C
Step-by-step explanation:
You plug in the values of w and x so you get 3(1/4*8)+4. Multiply whats in the parthensis then distribute the 3 into 2 and get 6. So 6+4=10. Thats the answer for this expression. I hope this helps!
Which equation is graphed here?
A) y = -3x + 3
B) y = -3x - 3
C) y = -1/3x + 3
D) y = -1/3x - 3
Which math expression means "the product of 16 and 26"?
Answer:
A. 16 x 26
Step-by-step explanation:
Pruduct means the answer to a multiplaction problem.
Answer:
The answer is A
Step-by-step explanation:
The product means it's a multiplication
Willis drove 239.82 miles in 4.2 hours at a constant speed. How long would it take him to drive 445.38 miles at the same speed? PLZZZ I NEED THIS ASAP WITH THE EXPLANITION
Answer:
(57.1 miles per hour. )
7.8 hours
Step-by-step explanation:
Mmmm! I love apple cider punch this time of year, and so do all my neighbors. My recipe calls for
two quarts of apple cider, three teaspoons of cinnamon, and one pint of lemon-lime soda. This will
make enough for eight people to share. In my neighborhood, however, there are 72 people. How much
do I need of each ingredient to make enough for my whole neighborhood to share?
Answer and Step-by-step explanation:
72 people total, recipe makes for 8 people
so have to make it how many times? 72/8 = 9 times
apple cider
2 quarts * 9 = 18 quarts of apple cider
cinnamon
3 teaspoons * 9 = 27 teaspoons of cinnamon
lemon-lime soda
1 pint * 9 = 9 pints of lemon-lime soda
please give thanks by clicking the heart button :)
Answer:
the one who answered is true
I need help will mark Brainlyest
Answer:
maybe its 32 or maybe its just HeLl in real life :)
Step-by-step explanation:
If 3/4 of the 12 pencils were sharpened, then how many pencils were sharpened?
Answer:
9 pencils were sharp
Step-by-step explanation:
3*4=12 so if three fourths were sharp then 9 were
Can someone please explain to me how to get the answer for the question is the picture? I don't get it at all, and the internet isn't helping. Please explain the way you got the answer
Answer:
The original price of the item is $28.
Step-by-step explanation:
So to find the original price, we have to divide the sale price by the result of one minus the discount in percentage form.
So:
First convert 25% to a decimal, 0.25.
OP(original price) = 21 ÷ 1 - 0.25 =
1 - 0.25 = 0.75
21 ÷ 0.75 = 28.
A division problem is shown below.
Which statement is correct about the transformation of a function f(x)?
a.By moving f(x) k units down, you obtain the function f(x)+k.
b.By moving f(x) k units to the right, you obtain the function f(x−k).
c.By shrinking f(x) k units horizontally, you obtain the function 1kf(x).
d.By stretching f(x) k units vertically, you obtain the function f(kx).
Answer:
B
Step-by-step explanation:
f(x)k= Example: f(2)= (2x-5)= f(2)= (2x2-5)= f(2)= (4-5)
Answer:
b.By moving f(x) k units to the right, you obtain the function f(x−k).
Step-by-step explanation:
:)
Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car shows it can drive 370 miles on 20 gallons of gas. How far could you drive on 65 gallons of gas?
Answer:
1202.5 miles
Step-by-step explanation:
It is given that.
A test of a new car shows it can drive 370 miles on 20 gallons of gas.
We need to find how far you could drive on 65 gallons of gas.
20 gallons of gas = 370 miles
1 gallon = 18.5 miles
For 65 gallons of gas, multiply 65 and 18.5.
65 gallons = 18.5 × 65 miles
= 1202.5 miles
Hence, 1202.5 miles you could drive on 65 gallons of the gas.
Find the mode of the following data. 56,34,45,65,67,56,45,36,92,73,92,45,56
====================================================
Explanation:
Original list = {56,34,45,65,67,56,45,36,92,73,92,45,56}
Sorted list = {34,36,45,45,45,56,56,56,65,67,73,92,92}
We see that 45 and 56 both occur three times each, and this is the most occurring or most frequent. So the mode is the set {45, 56}. It is possible to have more than one mode. It is also possible to not have a mode at all if each value in a list only occurs one time.
Answer:
its between 56 and 45 and i havent rlly done this since 5th or 6th grade so
Step-by-step explanation:
Luke has 9/10 yard of colored ribbon. He plans to cut the ribbon into pieces. Each piece will be 1/6 yard long. How many whole pieces can luke make from the ribbon?
Answer:
He can make 5 ribbons and 2/5 yards is left over.
Step-by-step explanation:
It is given that,
Length of the colored ribbon = 9/10 yards
Luke plans to cut the ribbon into pieces.
Each piece will be 1/6 yard long.
We need to find the number of pieces that Luke can made from the ribbon. Let he can make x pieces.
[tex]x=\dfrac{\dfrac{9}{10}}{\dfrac{1}{6}}\\\\=\dfrac{9}{10}\times 6\\\\=5.4\\\\=5\dfrac{2}{5}[/tex]
It means he can make 5 ribbons and 2/5 yards is left over.
PLEASE HELP WITH THIS WILL GIVE BRAINLIEST
Answer:
11 am to 2 pm
Step-by-step explanation:
ILL MARK BAINLIEST HELP TTTTTTTTTREEEEEEEEEEEEEEEEEEEE
Answer:
Yes
Step-by-step explanation:
I was wondering if anyone had the answer key to the Gina Wilson, Unit 7: Polygon and Quadrilaterals Unit Test, it is one of our assignments instead of some big final.
Answer:
um sorry i wish i could help but mabye post a specfic
question Step-by-step explanation:
Max built a rectangular Prism and a rectangular Pyramid using beach sand. The prism and the pyramid have the same base area and the same height. The amount of sand Max used to build the Prism is how many times the amount used to build the Pyramid?
Answer:
Three times
Step-by-step explanation:
Given
Figures: Rectangular Prism and Rectangular Pyramid
Let the dimension of the prism be:
[tex]l = length[/tex]
[tex]w = width[/tex]
[tex]h = height[/tex]
Amount of sand used is the volume (V1) and it is calculated using;
[tex]V_1 = l * w * h[/tex]
[tex]V_1 = lw h[/tex]
Since the pyramid has the same base area and height as the prism, the its dimension would be:
[tex]l = length[/tex]
[tex]w = width[/tex]
[tex]h = height[/tex]
Amount of sand used is the volume (V2) and it is calculated using;
[tex]V_2 = \frac{1}{3}*(lwh)[/tex]
So, we have:
[tex]V_1 = lw h[/tex]
[tex]V_2 = \frac{1}{3}*(lwh)[/tex]
Substitute lwh for V1 in the second equation
[tex]V_2 = \frac{1}{3}V_1[/tex]
Multiply both sides by 3
[tex]3 * V_2 = \frac{1}{3}V_1 * 3[/tex]
[tex]3 * V_2 = V_1[/tex]
Reorder
[tex]V_1 = 3 * V_2[/tex]
[tex]V_1 = 3 V_2[/tex]
Hence, the amount of sand used in building the prism is three times the amount of sand used in building the pyramid
