Factorize completely
80p2 - 180r2
Answer:
80p2 - 180r2
20(4p²-9r²)
20(2p+3r)(2p-3r)
Answer:
20(2p - 3r)(2p + 3r)
Step-by-step explanation:
Given
80p² - 180r² ← factor out 20 from each term
= 20(4p² - 9r²) ← difference of squares which factors in general as
a² - b² = (a - b)(a + b)
4p² - 9r²
= (2p)² - (3r)² ← with a = 2p and b = 3r
= (2p - 3r)(2p + 3r)
Thus
80p² - 180r² = 20(2p - 3r)(2p + 3r) ← in factored form
Hey, guys I need help :)
Answer:
Option B is the crt ans☺️☺️☺️☺️Please help! Thanks!
Step-by-step explanation:
Put the what given of y in equation 2 to equation of 1
So you get
[tex] \frac{4}{5} x + \frac{2}{5} x - 7 = - 4 \\ \frac{6}{5} x = 3 \\ x = \frac{15}{6 } \\ x = \frac{5}{2} [/tex]
Then put the value of x in second equation
You will get
[tex]y = - \frac{2}{5} \times \frac{5 }{2} + 7 \\ \\ y = 6[/tex]
Is the ordered pair (4,-3) a solution for the following system of linear inequalities?
x+y<+1 y<5x-2
Answer:
no
Step-by-step explanation:
(4, -3) when plugged into the inequality x + y < 1 is not true
4 + (-3) < 1 is not true because 1 is not less than 1
An older person is 4 years older than 7 times the age of a younger person. The sum of their ages is 44. Find their ages
Answer:
5 yr and 39 yr
Step-by-step explanation:
Let x = the age of the younger
then 7x + 4 = the age of the older
Now x + 7x + 4 = 44
8x + 4 = 44
8x = 40
x = 5
7x + 4 = 7(5) + 4 = 35 + 4 = 39
Check: 5 + 39 = 44
An airplane at 25,000 feet begins its descent. The plane descends 500 feet per minute. Write an equation in the form y = mx + b to model the height of the plane during its descent.
Answer:
y=500x+25000
where y is height in ft
and x is time in minute....
I NEED HELP ASAP!! I'LL GIVE BRAINLIEST TO THE CORRECT ANSWER!!!
Answer:
51473829
Step-by-step explanation:
- 10x - 5y = 5 - 4x + 5y = 23
Ellen's living room is 3 meters wide and 8 meters long. She wants to install pink carpet that costs $9.00 per square meter. How much will it cost to buy enough carpet for the living room?
Answer:
$216
Step-by-step explanation:
................
Area of room =(l*b)
=(3*8)m²= 24m²
Carpet needed = 24m²
Cost of 1m² carpet= $9
Cost of 24m² carpet= $(9*24)
= $216
Answer:
i think ur answer would be $243
Step-by-step explanation:
sorry if wrong
hope this helps
Solve the system of equations by substitution. Show your work in the sketch and write your answer as an ordered pair.
There are 2 sketches in case you need more room.
`-3x+y=-2`
`y=4x`
Let's solve your system by substitution.
−3x+y=−2;y=4x
Rewrite equations:
y=4x;−3x+y=−2
Step: Solvey=4xfor y:
y=4x
Step: Substitute4xforyin−3x+y=−2:
−3x+y=−2
−3x+4x=−2
x=−2(Simplify both sides of the equation)
Step: Substitute−2forxiny=4x:
y=4x
y=(4)(−2)
y=−8(Simplify both sides of the equation)
Answer:
x=−2 and y=−8
Select the three number bonds that represent factor pairs of the number 56. CLEAR CHECK Number bond: 1 times 56 = 56. Number bond: 4 times 14 = 56. Number bond: 5 times 6 = 56. Number bond: 7 times 8 = 56.
Answer:
The answer is -
Number bond: 1 times 56 = 56.
Number bond: 4 times 14 = 56.
Number bond: 7 times 8 = 56.
Step-by-step explanation:
We can define a factor pair as a set of two factors, which, when multiplied together, give a particular product.
For example -
5 and 6 are factors of 30 because 5×6 = 30
Now,
Given -
Number bond: 1 times 56 = 56. ...................(1)
Number bond: 4 times 14 = 56. ...................(2)
Number bond: 5 times 6 = 56. ...................(3)
Number bond: 7 times 8 = 56. ...................(4)
In equation (1)
1 times 56 = 1×56 = 56
⇒1 and 56 are the factor pairs of 56
Satisfies
In equation (2)
4 times 14 = 4×14 = 56
⇒4 and 14 are factor pairs of 56
Satisfies
In equation (3)
5 times 6 = 5×6 = 30 ≠ 56
⇒5 and 6 are not factor pairs of 56
Not Satisfies
In equation (4)
7 times 8 = 7×8 = 56
⇒7 and 8 are factor pairs of 56
Satisfies
∴ we get
The answer is -
Number bond: 1 times 56 = 56.
Number bond: 4 times 14 = 56.
Number bond: 7 times 8 = 56.
pls help Kerry cut an $8$ -foot-long board into $6$ pieces that are equal in length.
Answer:
Kerry should cut it into 1 1/3 pieces
Step-by-step explanation:
divide the total by the parts you want to get the length of a part
8/6=4/3
Find the area of an equilateral triangle with side length 9.2 cm. Round your answer to 1 DP.
Answer:
Area=36.66 cm^2
Step-by-step explanation:
First, you need the height.
Use the Pythagorean theorem:
hypotenuse^2=height^2+(1/2 base)^2
It's one-half base because it's an equilateral triangle.
1/2 base =4.6
(9.2)^2-4.6^2=height^2
84.64-21.16=height^2
height^2=63.48
height=7.97
Area=(1/2)(base)(height)
Area=(1/2)(9.2)(7.97)=36.66 cm^2
[tex]2+\frac{3}{4}x=\frac{5}{12}[/tex]
Answer:
[tex]x = -2 \frac{1}{9}[/tex]
hope this helps!
PLZ OFFERING HIGH POINTS
You kayak up a river at a rate of 36 feet every 30 seconds. You kayak 304 feet every 2 minutes on the way back down the river. How much farther do you kayak in 5 minutes on the way down the river than in 5 minutes on the way up the river?
Answer:
400 feet
Step-by-step explanation:
on way up you travel 35 ft in 30 sec or 144 ft in 120 sec (2 min)
on way down you travel 304 ft in 120 sec (2 min)
the distance traveled for 5 minutes at rate from way 'up' is 360 feet
the distance traveled for 5 minutes at rate from way 'down' is 760 feet
difference is 400 feet
Answer:
400
Step-by-step explanation:
Sleepy
Please help I really need this tysm to who answers this.
Animal Nutrition Kevin's dog Amadeus likes two kinds of canned dog food. Gourmet Dog costs 40 cents a can and
has 20 units of a vitamin complex; the calorie content is 75 calories. Chow Hound costs 32 cents a can and has 35 units of vitamins and 50 calories. Kevin likes Amadeus to have at least 1175 units of vitamins a month and at least
2375 calories during the same time period. Kevin has space to store only 60 cans of dog food at a time. How much of each kind of dog food should Kevin buy each month to minimize his cost?
Answer:
The answer should be 15 cans GD and 25 cans CH
Step-by-step explanation:
The given polygons are similar. Find the value of x.
Answer:
x= 10 hope it helps have a nice day
Answer:
x=10
Step-by-step explanation:
[tex]\frac{8}{12} =\frac{x}{15}[/tex]
8×15=12x
120=12x
120/12=x
10=x
x=10
Hope this helps! :)
A clothing store owner tracks the amount of money the last 10 customers spend in her store. The owner concludes that the typical amount spent by any customer is $28.80. The owner's conclusion
A) is valid. The last 10 customers only bought sale items.
B) is correct. This is the average amount spent by any customer.
C) is invalid. This is not a good representation of all customers.
D) is unfair. The last ten people in the store may have been tired.
Answer:D
Step-by-step explanation:
Subtract (-3f - 4g + 9) - (2 - 6f + 5g).
Answer:
Step-by-step explanation:
Remove the brackets. Watch out for that minus sign. It affects all three terms in the right bracket.
(-3f - 4g + 9) - (2 - 6f + 5g)
-3f - 4g + 9 - 2 + 6f - 5g
+3f - 9g + 7 is your answer.
Answer:
3f−9g+7
Step-by-step explanation:
(−3f−4g+9)−(2−6f+5g)
To find the opposite of 2−6f+5g, find the opposite of each term.
−3f−4g+9−2−(−6f)−5g
The opposite of −6f is 6f.
−3f−4g+9−2+6f−5g
Subtract 2 from 9 to get 7.
−3f−4g+7+6f−5g
Combine −3f and 6f to get 3f.
3f−4g+7−5g
Combine −4g and −5g to get −9g.
3f−9g+7
shine sold two tables at 9900 rupees each.he got 10% profit in one sale and 10% loss in the other.did the total sale result in a profit or loss? what percentage? please give me step by step explanation
the total sale was neither a profit nor loss , 0%
Step-by-step explanation:
1st table :
100%-> 9900
110%-> 10890
10890-9900=990(earned)
------------------------------------------
2nd table :
100%->9900
90%-> 8910
9900-8910=990(lost)
990-990=0
hence the total sale was neither a profit nor loss , 0%
If m<1=(6x+25), and m<2=(x+5), find m<2
Answer:
Assuming they are equal to each other, X = -4
Step-by-step explanation:
6x + 25 = x + 5
Subtract 5 from both sides
6x + 20 = x
subtract 6x from the left side
20= 5x
divide by 5
-4 = x
Help plz - 3/4 x - 2/5
Answer:
3/10
Step-by-step explanation:
Hans spent three days baking 224 cookies. On the second day, he baked twice as many as he did on the first day. On the third day, he baked half as many as he did on the first day.
How many cookies did he bake on the second day?
Answer:
He baked 448 on the second day
Step-by-step explanation:
Why because he Baked 224 on the 1st day 448 on the second day and 112 on the 3rd
Answer:
128 on the second day
Step-by-step explanation:
He pressure of a tyre is 32 pounds per square inch. Given 1 pound = 0.4536 kilograms 1 inch = 2.54 centimetres Work out the pressure in grams per square centimetre.
Step-by-step explanation:
1pound =0.4536kiligrams=,453.6grams
1square inch =2.54×2.54=6.4516
(32pounds/inch√2square
×453.6g)
(14515.2g/inch √2
÷6.4516)/6.4516
(2,262.34414)1cm√2
2262g/cm2
What is the area of this?
[tex]area = lw \\ area = (7.5)(6) \\ area = 45 {feet}^{2} [/tex]
[tex]area = \frac{1}{2} bh \\ area = \frac{1}{2} (6)(4) \\ area = \frac{1}{2} (24) \\ area = 12 {feet}^{2} [/tex]
total area = 45 + 12
total area = 57 feet²
My song lol. Help me plz
Answer:
false
Step-by-step explanation:
Solve for the value of k. (k+8) 400
Answer: The answer to this math question about solving for the value of k with the given full of the angles is k = 6.
Step-by-step explanation: As always to remember, all of the forming angles to a straight line with a sum of 180 degrees, so anyways, here are 6 steps in order to solve for the value of k:
Step 1. First, let's find the measures of the value of all 3 angles, the measures of all 3 angles are, 8°, 90°, and 40° that looks in the equation form like this: [tex]7k + 8 + 90 + 40 = 180.[/tex]
Step 2. Next, after finding the measures of the value of all 3 angles, it's time to add all 3 angles up together that looks in the equation form like this: [tex]7k + 138 = 180.[/tex]
Step 3. Then, let's move positive 138 to the right side so you got negative 138, and keep the positive 180 the same when moving to the left side that looks in the equation form like this: [tex]7k = 180 - 138.[/tex]
Step 4. In addition to that, after moving positive 138 to the right side so you got negative 138, and keep the positive 180 the same when moving to the left side, it's time to subtract 138 degrees and 180 degrees that looks in the equation form like this: [tex]7k = 42.[/tex]
Step 5. Now last but not least is finally, after subtracting 138 degrees and 180 degrees, it's time to divide the both sides by 7 that looks in the equation form like this: [tex]\frac{7k}{7}=\frac{42}{7}.[/tex]
Step 6. Hence the value of k is 6.
I hope that my full given answer with my full given step-by-step explanation is very helpful to your own math question about solving for the value of k with the given full of the angles, please mark me as Brainliest, take care, always be safe, and have a great rest of the day and a great weekend! :D
Sincerely,
Jason Ta,
The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.
What are the answer? (Zoom in to see clearly)
Answer:
15.) -21f - 16
16.) 5s + 2t
Step-by-step explanation:
15.)
-12f - 16 - 9f (Distribute 4 through the parentheses)
-21f - 16 (Collect like-terms)
16.)
4s + 2t + s + s - s (Since two opposites add up to zero, remove them from the expression)
4s + 2t + s (Collect like terms)
WILL GIVE BRAINLIEST TO THE FIRST TO ANSWER!!!!!
Answer:
9 cm
Step-by-step explanation:
1/3x3=1
10-1=9