[tex] \frac{ {4x}^{2} - 100}{4x(x - 5)} \\ = \frac{4( {x}^{2} - 25) }{4x(x - 5)} \\ = \frac{4 ( {x)}^{2} - ( {5)}^{2} }{4x(x - 5)} \\ = \frac{4(x - 5)(x + 5)}{4x(x - 5)} \\ cancel \: \: \: out \: \: \: (x - 5) \: \: \: from \: \: \: both \: \: \: numerator \: \: \: and \: \: \: denominator \\ = \frac{4(x + 5)}{4x} \\ cancel \: \: \: out \: \: \: 4\: \: \: from \: \: \: both \: \: \: numerator \: \: \: and \: \: \: denominator \\ = \frac{x + 5}{x} \\ = \frac{x}{x} + \frac{5}{x} \\ = 1 + \frac{5}{x} [/tex]
Answer:[tex]1 + \frac{5}{x} [/tex]
Hope it helps.
Do comment if you have any query.
2. Solve for x: 2(x - 5) = x + 3(x + 2)
Answer:
x=-8
Step-by-step explanation:
Answer:
x = -8
Step-by-step explanation:
Firstly, distrubute 2 to our parentheses (2x - 10). Now, let's add our like terms, 2x - 10 = 4x + 6 since x alone is one we add this to 3x, equaling 4x. Then we're going to move our variable and sign, 2x - 10 - 4x = 6. Alright, now combine like terms and calculate (2x - 4x), we know when we subtract two and four, it's a negative 2, -2x = 6 + 10 = 16. Now divide both sides of the equation by -2, 16 divided by -2 is -8. Therefore, x = -8, hope this helped! Have a great day!
I need this done, FAST! EMERGANCY! 20 4 this!
The account balance of each of three children at the end of a month is shown below: John has −$2.75 Cheryl has −$3.00 Andrew has as much savings in his account as the amount John owes the bank. Part A: On a blank paper, draw a number line from −4 to +4. Plot points on the number line to show the account balances of the three children. Label the points using the name of each child. Describe in detail how you created and labeled this number line, and what it looks like in detail. (5 points) Part B: Determine whether John or Cheryl owes the bank more. Use absolute values and inequalities to write statements that justify your conclusion. (5 points)
Answer:John has −$2.75
Cheryl has −$3.00
Andrew has as much savings in his account as the amount John owes the bank.
: On a blank paper, draw a number line from −4 to +4. Plot points on the number line to show the account balances of the three children. Label the points using the name of each child. Describe in detail how you created and labeled this number line, and what it looks like in detail. (5 points)
: Determine whether John or Cheryl owes the bank more. Use absolute values and inequalities to write statements that justify your conclusion. (5 points)
Step-by-step explanation:
A food store is making 60 jars of vegetables. Each jar will get 7.83 ounces of peas and carrots
combined. The food store has 384 ounces of peas for all the jars, and the carrots will be divided
equally among the jars. How many ounces of carrots will go into each jar?
Answer:
1.43 ounces
Step-by-step explanation:
384 / 60 = 6.4
7.83 - 6.4 = 1.43
Which expression has the same value as − 4 1/5 + 9 3/5?
Answer:
27 / 5
Step-by-step explanation:
− 4 1/5 + 9 3/5 = 5.4 or 5 2/5
27/5 = 5.4 or 5 2/5
need help with identiifying slope thing i sent
Answer:
The slope is -5 and the y intercept is (0,4)
Step-by-step explanation:
The equation is written in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -5x+4
The slope is -5 and the y intercept is (0,4)
1 3/10 x 18 please show work and answer
Answer:
Step-by-step explanation:
1 3/10 x 18
(1 x 10 +3)/10 = 13/10
13/10 x 18 = (13 x 18) / 10 = 234/10 = (234/2) / (10/2) = 117/5 = 23 2/5 (a fraction is a division)
The answer to the expression showing the product of 1 3/10 x 18 is 23 2/5.
Given is an expression showing the product of 1 3/10 x 18, we need to solve it,
To multiply a mixed number by a whole number, you can convert the mixed number to an improper fraction and then multiply the fractions.
Here's how you can solve the problem:
Step 1: Convert the mixed number to an improper fraction:
1 3/10 = (1 × 10 + 3) / 10 = 13/10
Step 2: Multiply the fractions:
13/10 x 18/1 = (13 x 18) / (10 x 1) = 234 / 10
Step 3: Simplify the fraction, if possible:
234/10 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2:
234/10 = (234 ÷ 2) / (10 ÷ 2) = 117/5
Therefore, 1 3/10 x 18 = 117/5.
Alternatively, you can express the answer as a mixed number by dividing the numerator by the denominator:
117 ÷ 5 = 23 with a remainder of 2
So, the final answer is 23 2/5.
Learn more about mixed numbers click;
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what topics of algebra are on the shsat
Answer:
Step-by-step explanation:
Proportions.
Volume.
Scale.
Geometry (angles)
Solve for variable.
Logic.
Consecutive integers.
Unit conversion.
and much more...
please help me with this and thank's
Answer:
Step-by-step explanation:
2 3. 5. + = 3 5. 8. + = 5 8. 13. + = Worked Example 1. The sequence of square numbers is. 1, 4, 9, 16, 25, 36, . . . Explain how to obtain the next number ...
Complete the table for an object that goes 3/4 mile in 6 minutes .
a grower wishes to mix a one peso per gram chemical with 80 centavo per gram chemical to produce mixture of 200 grams chemical which he can sell for 84 centavo a gram. how many grams of each price of chemical should he use
40 grams of $ 1 per gram and 160 grams of $ 0.80 per gram should be used.
Since a grower wishes to mix a one peso per gram chemical with 80 cent per gram chemical to produce mixture of 200 grams chemical which he can sell for 84 cent a gram, to determine how many grams of each price of chemical should he use you must perform the following calculation:
(150 x 1 + 50 x 0.8) / 2 = 95 (140 x 1 + 60 x 0.8) / 2 = 94 (100 x 1 + 100 x 0.8) / 2 = 90 (50 x 1 + 150 x 0.8) / 2 = 85 (40 x 1 + 160 x 0.8) / 2 = 84
Therefore, 40 grams of $ 1 per gram and 160 grams of $ 0.80 per gram should be used.
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hi if you know 8th grd math pls help
Answer:
all correct except A.
Step-by-step explanation:
pls mark me brainly if u can
Divide. 1 4/9 ÷ 2/3 pls help
1 4/9 ÷ 2/3 = 13/9 x 3/2 = 13/6
ok done. Thank to me :>
In the figure, a || b || c. Find the value of m<1 + m<2 + m<3 + m<4 + m<5.
(A). 360°
(B). 180°
(C). 270°
(D). Cannot be determined
Answer:
The answer is D cannot be determined
Step-by-step explanation:
this is because you don't have enough information
Use the Distributive Property to expand 3(6x-4y)-8
Answer:
[tex]18x - 12y -8[/tex]
Step-by-step explanation:
Distribute property means that [tex]a(b+c)=ab+ac[/tex]
Meaning that you will have to multiply 3(6x) and 3(-4y)
3(6x) = 18x and 3(-4y) = -12y and because -8 isn't inside the parenthasis we don't multiply 3 and -8
simplify -4y+8y answer quick pls
Step-by-step explanation:
-4y + 8y = 4y
it is the same as -4 + 8 = 4
Answer:
4y is the answer.
Step-by-step explanation:
Since there is like variables, we can add -4y and 8y.
=> -4y + 8y = 4y.
Therefore, 4y is the answer. Hoped this helped.
(d). Find the area of the region enclosed by the graphs of f(x)= x³ and g(x)=x²+2x. [Verify your answer by MATHEMATICA and attach the printout of the commands and output (e). Find the area of the region enclosed by the graphs of y = 3/X and y=4-X. [Verify your answer by MATHEMATICA and attach the printout of the commands and output
Answer:
d . 37/12 unit^2.
Step-by-step explanation:
d) First find the points of intersection of the the 2 graphs, by solving them simultaneously:
x^3 = x^2 + 2x
x^3 - x^2 - 2x) = 0
x(x^2 - x - 2) = 0
x(x - 2)(x + 1) = 0
So they intersect at x = -1, x = 0 and x = 2.
Take the area from x = 0 to x = 2)
2 2
Area = ∫ x^2 + 2x dx - ∫ x^3 dx
0 0
2
= [ x^3/3 + x^2 ) - x^4/4]
0
= ((8/3 + 4) - 0) - (16/4 - 0) -
= 8/3 unit^2
Now calculate the area from x = -1 to x = 0.
0
= (x^3/3 + x^2 ) - x^4/4 )
-1
= (( 0 +1/3 - 1) ) - (0 - 1/4)
= 5/12 unit^2
So the total area of the region = 8/3 + 5/12 = 37/12 unit^2.
Find the values of x and y.
X =
y =
Answer:
y=5
x=45
Step-by-step explanation:
I am not quite sure of x but I am positive for the value of y
The average of 5 consecutive whole numbers is 2021. What is the average of the first 3 of these numbers?
Answer:
2020
Step-by-step explanation:
if it is 5 consecutive numbers, it means it needs to be 2019, 2020, 2021, 2022, 2023
it is the number in the middle.
for the first 3 numbers, it is 2019, 2020, 2021
the middle number is 2020
The mean or average of the consecutive first 3 numbers such that the average of 5 consecutive whole numbers is 2021 will be 2020.
What is mean?The mean is the average of a data set. Mean gives us an idea of that how much amount of overall data have.
In other words, the mean is the foundation of the deviation of data from all data sets.
Let's say the first integer is x.
Then, next terms will be x + 1, x + 2, x + 3, x + 4.
It is known that,
Mean = sum of data / Number of data
(x + x + 1 + x + 2 + x + 3 + x + 4)/5 = 2021
(5x + 10)/5 = 2021
x + 2 = 2021
x = 2019
Now, first, three consecutive integers will be,
2019,2020 and 2021
The mean of the above integers will be,
(2019 + 2020 + 2021)/3 = 2020
Hence "The mean or average of the consecutive first 3 numbers such that the average of 5 consecutive whole numbers is 2021 will be 2020".
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X+y=6 x-y=-2 solve by elimination
Step-by-step explanation:
x + y = 6
+ x - y = -2
------------------
2x + 0 = 4
x = 2
2 + y = 6
y = 4
rewrite in slope intercept
a(bx + y) = c
Solve the inequality for u 20>u+8
Answer:
u < 12
Step-by-step explanation:
20 > u + 8 ( subtract 8 from both sides )
12 > u , then
u < 12
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day!
We can solve this equation in one step, which is Algebra, I'll start solving the problem now.
Algebra
We can start by simplifying the problem, [tex]20>u+8[/tex], we can subtract by 8 on each side to simplify the equation. I'll explain why afterwards.
[tex]20>u+8\\12>u[/tex]
As you can see we've subtracted by 8 on both sides, the reason this works is because when we do something to one side, we must do it to the other, which keeps the equation balanced.
We can prove this works by picking a random number for [tex]u[/tex] from our simplified version. For this case, lets pick 11.
We can see that if we plug it in to the first unsimplified equation, it works perfectly fine:
[tex]20>11+8?\\20>19[/tex]
We've proven that its correct.
So our final answer is [tex]u<12[/tex].
Cheers!
Maria just got a raise at work. She was making $9 per hour, but now she makes 150% of that amount. Explain how you would find the amount of money Maria now makes per hour.
Answer:
9.00 x 150%= $13.50 an hour
Step-by-step explanation:
maria started to make $9.00 and hour
you multiply 9.00 x 150= $13.50
hope this helps!
I=PRT used to calculate interest earned. How do I solve for T?
9514 1404 393
Answer:
T = I/(PR)
Step-by-step explanation:
Solve for T the same way you solve for the variable in any proportion: divide both sides of the equation by its coefficient.
I = PRT
I/(PR) = PRT/(PR)
I/(PR) = T
_____
Additional comment
Please note that parentheses are required around the factors of the denominator when you write this in plain text.
I/PR ≠ I/(PR)
I/PR = (I/P)R . . . . . the order of operations requires the division occur before the multiplication
If you write this by hand, or in typeset form, the horizontal fraction bar serves to group the factors of the denominator:
[tex]T=\dfrac{I}{PR}[/tex]
Hey everybody!
Can somebody please help me put with this problem?
I would really appreciate it if you could! Take a look!
5 An army cook wants to make pudding
for dessert. He has a recipe that calls for
2 cups of milk to make 4 servings. There
are 16 cups in a gallon. How many gallons
of milk does the cook need to make
864 servings of pudding?
Answer:
27
Step-by-step explanation:
First you dvide 864 by 4 to get 216. Next you multiply the 216 by 2 to find that there are 432 cups in 864 servings. Finally you divide by 16 to turn 432 cups into 27 gallons.
I hope this helps!
Answer:
27 gallons
Step-by-step explanation:
First, multiply each number by 8, so you can get 16 cups.
16 cups to make 32 servings or 1 gallon to make 32 servings
Then find out what you multiply 32 by to get 864 by dividing 864/32 which is 27.
Now multiply the 1 gallon by 27 to get 27 gallons in 864 servings
16/20 - (- 1.8) - 4/5 =
Solve for q.
7q–5q=16
q=
Answer:
q = 8
Step-by-step explanation:
7q - 5q = 16
Then you can subtract the 7q by 5q which will get you 2q.
So now it is 2q = 16, you can simply divide both sides by 2 to get 8
hope it helped!
Hello, I hope you are having a nice day.
7q-5q=16
Combine Like terms:
2q=16
Divide both sides by 2 in order to isolate q:
q=8.
So this is the answer. Hope it helps you. :)
Ask me if you have any queries.
~An emotional teenager who helps other people on Brainly
[tex]MagicalNature[/tex]
Good luck.
Eight pins, each 43/8" long, have to be cut from a piece of drill rod. There is a 3/32" waste for each cut. What is the minimum length of rod you will need?
Answer:
Eight pins, each 43/8” long, have to be cut from a piece of drill rod. There is a 3/32” waste for each cut. What is the minimum length of rod you will need? 35” ...
A 6-pack of ice cream sandwiches costs $3.86. What is the unit price, rounded to the nearest cent?
Answer: so either .64 or , .66,
Step-by-step explanation:
divide 3.86 by 6
Triangle DEF is dilated by a scale factor of 2/3 to form triangle D´E´F´. What is the measure of side DE?
Answer:
DE = 30
Step-by-step explanation:
Let X be the measure of side DE.
You can write this equation to represent the problem:
[tex]x *\frac{2}{3} =20[/tex]
The measure of DE (x) is multiplied by the scale factor of [tex]\frac{2}{3}[/tex] to become 20.
Solve for x:
[tex]x *\frac{2}{3} =20\\\frac{2x}{3} =20\\2x=60\\x=30[/tex]
DE = 30