How could you use special factoring patterns to quickly rewrite the difference 50² - 45² as a product? Explain.
(image)
Answers
Answer:
95 * 5
Step-by-step explanation:
we know, a² - b² = (a + b) (a - b)
So, we can rewrite 50² - 45² using the above equation
as (50 + 45)(50-45)
which is, 95 * 5 [Your product]
= 475
Answer: 475
Step-by-step explanation:
Using identity: [tex]a^2 - b^2[/tex] = (a+b)(a-b)
--> (50+45)(50-45)
= 95 x 5
= 475
Related Questions
What was the percent of decrease from 50 to 28?
a
22%
b
44%
c
56%
d
79%
Answers
Answer:
B- 44%
Step-by-step explanation:
original - new / original
50-22/50
28/50
0.44
0.44 as a percent is 44
Answer:
= 44%
Step-by-step explanation:
50 - 28 = 22
22/50 = 0.44%
0.44 * 100 = 44%
Ashley created 3 music playlists using a total of 48 rock and pop songs. Each playlist has 9 rock songs. Each playlist also has the same number of pop songs. Which equation could be used to determine the number of pop songs, x
, Ashley has in each playlist?
choices:
3(x+9)=48
3x+9=48
9x+3=48
Answers
And the number of pop songs are 7
Answer: 3(x+9)=48
Step-by-step explanation:
So the total is 48 so we know it will =48
3 is the number of playlists she has
x is the # of pop songs
we know EACH playlist has 9 rock songs
A rectangle has a width that is twice the length. If the area of the rectangle is represented by the expression 18x² + 48x + 32, what expression represents the length of the rectangle? Explain.
Answers
Answer:
Step-by-step explanation:
Length of rectangle = l (let length of rectangle be 'l')
Width of rectangle = 2l
Area of rectangle = lb --> l(2l)
∴ Here, the area is given = [tex]18x^2 + 48x + 32[/tex]
So,
Area of rectangle = lb
[tex]18x^2 + 48x + 32[/tex] = l x 2l
[tex]18x^2 + 48x + 32[/tex] = [tex]2l^2[/tex]
[tex]\frac{18x^2 + 48x + 32}{2}[/tex] = [tex]l^2[/tex]
[tex]\sqrt{\frac{18x^2 + 48x + 32}{2}}[/tex] = [tex]l[/tex]
∴ Length is [tex]\sqrt{\frac{18x^2 + 48x + 32}{2}}[/tex]
What do you call numbers that are less than zero and located to the left of zero on the number line?
Group of answer choices
-signed numbers
-zero pairs
-negative numbers
-positive numbers
Thank you!
Answers
Answer: Negative numbers
Step-by-step explanation:
Answer:
Negative numbers
Step-by-step explanation:
Can you solve this for me? Thanks! :>
Answers
Answer:
Fraces 40.2
Step-by-step explanation:
The person between 39.6 and 42.4 cannot make the team.
So, as 40.2 is coming in between 39.6 and 42.4, Frances cannot make the team.
Hope this helps. Pls mark it as the BRAINLIEST!
The rectangular floor of a classroom is 30 feet in length and 24 feet in width. A scale drawing of the floor has a length of 5 inches. What is the perimeter, in inches, of the floor in the scale drawing?
Answers
Answer:
259.2 Inches.
Step-by-step explanation:
30*12/5 for one side(length), Multiply by two for the perimeter.
24*12/5 for the width, Multiply by two for the perimeter
144+115.2 = 259.2
Coolish
Answer:
18in
Step-by-step explanation:
a shed had a length of 13ft, and a height of 4 1/5 determine the volume? ( 50 points) ( and brainleyest)
Answers
Answer: undetermined
Step-by-step explanation: in order to find volume you need 3 dimensions the x y and z, you only have x and y no z so it’s a 2d object. If the width is also 13ft then 13x13x4.5= 760.5ft^3
Answer:
In order to find the volume you need 3 dimensions the x y and z, you only have x and y no z so it’s a 2d object. If the width is also 13ft then 13x13x4.5= 760.5ft^3
Step-by-step explanation:
Identify the value of c that would make the trinomial factorable using the perfect-square pattern.
(25, 27)
Answers
Answer:
Step-by-step explanation:
(25) [tex]x^2 + 24x + c[/tex]
24÷2 = 12
∴ [tex]x^2 + 12x + 12x + c[/tex]
Now, 12 x 12 = 144
∴ [tex]x^2 + 12x +12x + 144[/tex]
--> [tex]x^2 + 24x + 144[/tex]
Hope you understood 25!
25
Explanation: I just know
The depth y(in feet) of a river after x years is y=0.1x+10, can you find the height after 5 years?
Answers
Answer: I used Desmos for this, it works so much
Your answer is y= 50
Step-by-step explanation:
First:
You add 0.1x to 10
Second: Multiply it by 5
So the correct answer is y= 50
Someone answer these 2 please
Answers
Answer:
1. -5
2. 4.24
Step-by-step explanation:
2. +4.24 and -4.24
help me please and thanks !
Answers
21
Step-by-step explanation:
1/2×8×6=24
3×1=3
24-3=21
Answer:
it should be 21
Step-by-step explanation:
Plsss help me!!!!! I need this really soon
Answers
Answer:
A
Step-by-step explanation:
If you look, its the only one thats near the -5
Answer:
Point S (Sorry if I'm wrong!)
Can you solve this for me? Thanks! :>
Which expression is equivalent to 4(w + 4) + 6(4 + 2w)?
Group of answer choices
16w + 40
52w
12w + 14
16w + 8
Answers
Answer:
16w + 40
Step-by-step explanation:
4(w + 4) + 6(4 + 2w) -> given
4w + 16 + 24 + 12w -> distributive property
16w + 40 -> combine like terms
answer choice a: 16w + 40 = 16w + 40
Please help me with this
Answers
Answer:
it is 11x+25x=180
Step-by-step explanation:
the sum of the angles of a triangle is 180
so, 11x+25x+9x=180
.11x+34x=180 true
34x=25x+9x
.36x+9x=180 true
36x=11x+25x
.11x+25x+9x=180 true
.11x+25x=180 false because the angle at F hasn't been added to the equation.
In the first week of July, a record 1,060 people went to the local swimming pool. In the second week, 105 fewer people went to the pool. In the third week, 135 more people went to the pool than in the second week. In the fourth week, 136 fewer people went to the pool than in the third week.
What is the percent change in the number of people who went to the pool between the first and last weeks?
Answers
Answer:
The percent change in the number of people who went to the pool
between the first and last week is 10% less
Step-by-step explanation:
The given is:
. In the first week of July, a record 1,060 people went to the local swimming
pool
In the second week, 105 fewer people went to the pool
⚫ In the third week, 135 more people went to the pool than in the second week
. In the fourth week, 136 fewer people
went to the pool than in the third week
We need to find the percent change in the number of people who
went to the pool between the first and last weeks
::There were 1060 people in the 1st week
There were 105 fewer people in the 2nd week .. The number of people in the 2nd week =
1060 - 105 = 955
.. There were 955 people in the 2nd week
:: There were 135 more people in the 3rd
week than the 2nd week
There were 955 people in the 2nd week
.. The number of people in the 3rd week = 955 + 135 = 1090
There were 1090 people in the 3rd week
:: There were 136 fewer people in the 4th week than in the 3rd week
There were 1090 people in the 3rd week
.. The number of people in the 4th week =
1090-136 = 954 .. There were 954 people in the 4th week
Let us find the change from 1st week to last week
: There were 1060 people in the 1 st week
There were 954 people in the last week
.. The change = 1060-954 = 106
:: Percent change =
Change
Original * 100%
.. Percent change = * 100%
106
1060 Percent change = 10%
The percent change in the number of people who went to the pool
Learn more:
between the first and last week is 10% less
percent change = (new value - old value) / old value x 100
First we need to find the number of people who went to the pool in the last week, which is the number of people who went in the first week minus 105, plus 135, minus 136.
So:
Last week = 1060 - 105 + 135 - 136 = 954
Then we can calculate the percent change:
percent change = (954 - 1060) / 1060 x 100 = -10%
So the percent change in the number of people who went to the pool between the first and last weeks is -10%. This means that the number of people who went to the pool in the last week is 10% less than the number of people who went in the first week.
PLEASE ANSWER ASAP
A study was conducted comparing the speeds of 2 different fish, Fish A and Fish B. The table shows the distance, in meters, Fish A travels in seconds. Scientists
concluded that Fish B travels 3 meters every 2 seconds.
Assuming both fish swim at a constant rate, which fish swims faster and by how many meters per second?
Answers
A box of chocolates is a prism with a base in the shape of a heart and a height of 2 inches. The measurements of the base are pictured.
What is the VOLUME of the box of chocolates? Type your final answer (as a number only, no units) into the box.
REMEMBER: Volume = area of base x height
Answers
Answer: I think its 30
Step-by-step explanation:
Please help me I'm desperate
Answers
V=πr^2h
You have the diameter which is 2 times to radius. In order to get the radius you half the diameter which is 9.
9 to the second power is 81. Then you multiply it by the height which is 11. 81 x 11 is 891. So 891 x pi would be about 2799.16.
2r=d 2 r = d.
So plug in 18m in as d.
2r=18
/2 /2
r= 9
The volume of a cylinder is v= πr^2h
Use Pi symbol in calculator unless specified to use 3.14
The height is 11m
V=πr^2h
V= π(9)^2(11)
V= π(81)(11)
V= π(891)
V= 2,799.159054348506
So, to the nearest whole number: v= 2,800 m
Please help me I'm desperate
Answers
Answer: one-degree angle
Step-by-step explanation: An arc should be proportional to the angle.
The circle should have 360 degrees.
So, The measure in degrees of the angle is
= 1 degee
Therefore we can conclude that The measure in degrees of the angle is 1 degree.
The correct answer will get Brainliest.
Consider the following points on the graphs of y = cos(x) and y = cos(x + \pi/6), with the added vertical dashed lines:
Then what are 10c and 10d in that order?
Answers
Note that [tex]\cos a=\frac{4}{5}[/tex]. Since [tex]-\pi<a<0[/tex], [tex)\sin \alpha<0[/tex]. So, by the Pythagorean theorem, [tex]\sin \alpha=-\frac{3}{5}[/tex].
[tex]c=\cos \left(a+\frac{\pi}{6} \right) \\ \\ c=\cos a \cos \frac{\pi}{6}-\sin a \sin \frac{\pi}{6} \\ \\ c=\frac{4}{5} \cdot \frac{\sqrt{3}}{2}+\frac{3}{5} \cdot \frac{1}{2} \\ \\ c=\frac{4\sqrt{3}+3}{10} \\ \\ \therefore 10c=4\sqrt{3}+3[/tex]
Note that [tex]\cos b=\frac{4}{5}[/tex] and that [tex]0<b<\pi[/tex], meaning [tex]\sin b>0[/tex]. So, by the Pythagorean identity, [tex]\sin b=\frac{3}{5}[/tex].
[tex]d=\cos \left(b+\frac{\pi}{6} \right) \\ \\ d=\cos b \cos \frac{\pi}{6}-\sin b \sin \frac{\pi}{6} \\ \\ d=\frac{4}{5} \cdot \frac{\sqrt{3}}{2}-\frac{3}{5} \cdot \frac{1}{2} \\ \\ d=\frac{4\sqrt{3}-3}{10} \\ \\ \therefore 10d=4\sqrt{3}-3[/tex]
The equations and graph of a system of linear equations are shown.
3x+2y=12
y=−x+5
What is the y-coordinate of the solution to the system of linear equations?
Answers
Answer: The y-coordinate of the solution to the system of linear equations is 5.
Step-by-step explanation:
Answer:
1.086956522
y=
46
15
≈0.326086957
Step-by-step explanation:
Please help!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
1) 512 in.
2) 384 in.
Step-by-step explanation:
[tex]volume = {a}^{3} = 8 \times 8 \times 8 =512[/tex]
[tex]surface \: area \: = 6 {a}^{2} = 6 \times 8 \times8 = 384[/tex]
can someone help pls i would appreciate it
Answers
Answer:
60+4.5pi
Step-by-step explanation:
First find the area of the rectangle alone which is l*w
so 6*10 is 60,
then, you find the area of the semicircle which is 1/2pir^2
so 1/2(pi)(3^2) = 4.5pi
the radius is 3 because its 6/2
then you add it together which is 60+4.5pi
Answer:
Step-by-step explanation:
A of rect. + A of semicircle = Area of the figure
lb + [tex]\frac{\pi r^2}{2}[/tex]
Length of rectangle = 6
Breadth of rectangle = 10
Diameter of semicircle = 6
Radius of semicircle = 3
∴ (6x10) + [tex](\frac{22}{7}[/tex]x[tex]3^2[/tex] x[tex]\frac{1}{2}[/tex])
= 60 + [tex]\frac{99}{7}[/tex]
= 74.14 cm sq
Round off to nearest tenths place = 70 cm sq
Hope this helps. Pls mark the BRAINLIEST!
Which number can be used in the box to make the number sentence true?
26-8 >_ + 3
A.11
B.15
C.23
D.26
Answers
Answer:
Step-by-step explanation:bbbb
Maggie can use the equation y=7x to calculate her pay, where y represents the amount of pay, and x represents the number of hours worked. How many hours did Maggie work if she is paid $45.50?
Group of answer choices
6 hours
5.5 hours
6.5 hours
7 hours
Thanks!
Answers
What is the exact surface area of a cylindrical propane tank with a diameter of 2 m and a height of 10 m?
Answers
Answer:
it is 27 divided by 93.
Step-by-step explanation:
help help me i need the answer badddd PLEASE!!!11!!
Answers
Answer:
469.1
Step-by-step explanation:
first find parallelogram area and then 1/2 circle area
parallelogram area=lh
area=12*26
area=312
area of circle=pi*r^2
r=20/2=10
pi*10^2
100pi for full circle
100pi/2=50pi=half circle
50pi=157.1
157.1+312=469.1
Randy weighs 50 pounds and his father weighs 160 pounds. What is the difference in their weights?
A. 100 lb.
B. 110 lb.
C. 120 lb.
D. 125 lb.
(Would like a explaination too btw)
Answers
Answer:
This looks pretty easy. Is this a trick question or what? I might be wrong but the answer seems to be B. 110 lb.
Step-by-step explanation:
Solution:
Given,
weight of Randy = 50 pounds
weight of his father = 160 pounds
difference in their weights = ?
Now,
difference in their weights =
weight of his father - weight of Randy
= 160 - 50
= 110 pounds
Therefore, the difference in their weights is 110 pounds.
Graph the following Equation :
y=3x
Need this TODAY! Will give 100 points if answered
Answers
Answer:
see attached
Step-by-step explanation:
Answer:
see graph below
Step-by-step explanation:
y = 3x
We can plot two points on the graph and then make the line.
Let x = 0
y = 3
(0,0)
Let x = 1
y = 3*1 = 3
(1,3)
A weather station recorded the amount of rain that fell during an 8-hour time frame sing a rain gauge. The findings are recorded in the graph below.
The rain fell at the greatest rate between which hours?
Responses
0 and 1
1 and 4
4 and 5
5 and 6
Answers
Answer:
4 and 5. Step-by-step explanation: between hours 4 and 5 there is 2 inches of rain which is the highest rain
