Answer:
The answer is 9996
Step-by-step explanation:
Using the identity (x+a)(x+b) = x ^2 +(a+b)x+ab
Writing 102 as 100+2 and 98 as 100−2
Hence (100+2)(100−2) = 100 ^2 +[2+(−2)]100+(2)(−2)
= 10000+(0)100−4
= 9996
The answer is 9996
Answer:
9996
Step-by-step explanation:
by using suitable identities ;
(98) × (102)(100 - 2) × (100 + 2)10000 - 49996identity used here is :
[tex](a + b) \times (a - b) = (a {}^{2} - b {}^{2} )[/tex]
..........................
What is the slope of this line?
Answer:
3/4
Step-by-step explanation:
Gradient=6/8=3/4
2/x + 5/3 = 7/2, trynna solve for x
Answer:
x= 12/11
Step-by-step explanation:
sum of 34908 and 12765?
Answer:
47,673
Step-by-step explanation:
Answer: 47,673
Step-by-step explanation:
Tell whether each proportion is true or false and prove your answer.
Answer:
the proportion is false
Step-by-step explanation:
5.5/7.5 = 11/15
3.5/7= 1/2
What is the volume of the rectangular prism?
1 cm
6 cm
6 cm
Answer:
V=36
Step-by-step explanation:
(Find the commission.)
Earning Commission
Sales CommisionRate Commission $640 4% ?
The commission is $ ?
Answer:
25.6
Step-by-step explanation:
640*4%
Answer:
the commsion is $25.60
Step-by-step explanation:
commission amount = sale price * commission percentage / 100.
What is the slope that passes through the points(-2,4) and (3,8). m=
Please Mark as brainlist ..........
An angle measures 22° more than the measure of its
supplementary angle. What is the measure of each angle?
Could someone help me with this!!!
Answer:
imports
Step-by-step explanation:
Answer:
exports
Step-by-step explanation:
send (goods or services) to another country for sale.
Which expression is equivalent to 4(2x +3)?
a.4 + 2x + 4 +3
8x + 12
c.8x + 3
d.
4 + 2x + 12
Answer:
c 8x+3 all you do is multiply 4 and 2 to get 8 and add an x
BRAINLIEST! A box contains 84 chocolates, of which 63 are dark chocolates. The rest are milk chocolates. What is the ratio of milk chocolates to the total number of chocolates in the box?
Answer:
1:4
Step-by-step explanation:
84-63=21
there are 21 milk chocolates in the box
ratio of milk chocolates to total number of chocolates=21:84
simplify that=1:4
Arianna has $0.90 worth of nickels and dimes. She has 4 times as many nickels as
dimes. By following the steps below, determine the number of nickels, x, and the
number of dimes, y, that Arianna has.
Answer:
X=3
Step-by-step explanation:
0.05(4x) + 0.1x = 0.90
0.2x + 0.1x = 0.90
0.3x = 0.90
x = 3
If y varies directly with x, and y is 3 when x is 9, find x when y is 12.
Answer:
x=4
Step-by-step explanation:
Answer:
9/3=3
12/3=4
step-by-step explanation:
I think it's four but sorry if its not
Enzo is buying wallpaper. He can choose one colour, one texture and one thickness for his wallpaper. At his local DIY store, Enzo can choose from 27 different colours 14 different textures. The total number of options available to enzo for his wallpaper is 2268. Work out the number of different wallpaper thicknesses that enzo can choose from.
Answer:
6 different wallpapers
Step-by-step explanation:
Given
[tex]Colours = 27[/tex]
[tex]Textures = 14[/tex]
[tex]Total = 2268[/tex]
Required
Determine the number of different wallpapers he can choose from
From the question, he can choose 1 from 27 colors;
The number of ways is:
[tex]Colours = ^{27}C_1 = \frac{27!}{(27 - 1)!*1!} = \frac{27!}{26!*1!} = = \frac{27*26!}{26!*1} = 27[/tex]
From the question, he can choose 1 from 14 textures;
The number of ways is:
[tex]Textures = ^{14}C_1 = \frac{14!}{(14 - 1)!*1!} = \frac{14!}{13!*1!} = \frac{14*13!}{13!*1} = 14[/tex]
Assume the total number of wallpapers is x and he can only select 1.
The number of ways of selection is:
[tex]Wallpapers = ^{x}C_1 = \frac{x!}{(x - 1)!*1!} = \frac{x* (x - 1)!}{(x - 1)!*1!} = x[/tex]
So, the total selection is:
[tex]Colours * Textures * Wallpapers = Total[/tex]
[tex]27 * 14* x= 2268[/tex]
[tex]378* x= 2268[/tex]
Divide both sides by 378
[tex]\frac{378* x}{378}= \frac{2268}{378}[/tex]
[tex]x= \frac{2268}{378}[/tex]
[tex]x= 6[/tex]
Hence, the number of different wallpaper is 6
Select all of the attributes of the right rectangular prism.
Answer:
Opposite faces are parallel
There are 6 faces
All faces meet at 90 degrees.
Step-by-step explanation:
I think
b) 0.069 + 0.84 can u guys plzz help me it math subject and the lesson name is decimal help
0.909
Add together 69 and 840 (0.84 has less to the right) and put it behind a decimal.
Answer:
0.909
Step-by-step explanation:
Because there are decimals
0.069+
0.84
=0.909
Hope this helps you
Please help me with trigonometry I’m being timed and need all the help I can get
Answer:
I believe x would equal [tex]12\sqrt{2}[/tex]
Step-by-step explanation:
using the properties of a 45 45 right angle.
PLEASE ANSWER THIS QUICKLY WITH PLOT POINTS!! ILL GIVE BRAINLIEST!
y=-8 y=-2-12
Answer:
For the first one your first point is going to be on (0, -8) and will be a continuous horizontal line.
For the second equation the first point will be on (0, -12)
you want to go down two points and go to the right once point so (1, -14), (2,-16), (3,-18)
you also want to go up two points and to the left once so (-1, -10), (-2, -8), (-3, -6) and so on
Pls send quotes about no giving up
Make a, the subject of 3a-b=a+7
Answer:
a = (b+7)/2
Step-by-step explanation:
3a - b = a + 7
2a - b = 7
2a = b + 7
a = b+7/2
Which equation illustrates dividing out a common factor as the first step to solve the equation 2 x + 4 = 6 x + 2 ? A. 2 ( x + 2 ) = 2 ( 3 x + 1 ) B. 2 x 2 + 2 2 = 6 x 2 + 2 2 C. 2 x 2 + 4 = 6 x 2 + 2 D. 2 x + 4 2 = 6 x + 2 2
Answer:
Step-by-step explanation:
2x + 4 = 6x + 2
Bringing like terms on one side
4 - 2 = 6x - 4x
2 = 2x
2/2 = x
1 = x
Which of the following best describes the relationship between the number of miles a person runs and the number of calories he/she burns?
A. neither correlation nor causation
B. correlation and causation
C. correlation without causation
D. causation without correlation
One afternoon, 10 inches of snow fell in 1 1/4 hours. At this rate, how many inches of snow fall in 1 hour?
USE THE PICTURE BELOW PLEASE
Answer:
The rate of snowfall can be computed as inches of snow per hour.
rate = 10 inches / (1.25 hours).
The denominator is the improper fraction 5/4. To divide by 5/4, you multiply numerator bky 4/5...REMEMBER?
4/5 OF TEN EQUALS 8; THE RATE IS 8 inches/HOUR.
Step-by-step explanation:
CANNNNN ANYONE FIGURE TJIS OUTTT
Answer:
6.7
Step-by-step explanation:
Since both the figures are similar, so their corresponding sides would be in proportion.
Therefore,
[tex] \frac{a}{12} = \frac{5}{9} \\ \\ a = \frac{60}{9} \\ \\ a = 6.7 \: [/tex]
The base of an isosceles triangle is 24cm and its area is 192 sq.cm . Find its perimeter
Answer:AB = AC since the given triangle is isosceles. Area = 192 sq.cm. = 64 cm. Hence the perimeter of triangle is 64 cm.
Step-by-step explanation:
ASAP PLASE HELP AND SHOW WORK
Each choice below describes the lengths of the sides of a triangle. Select all the triangles that must be right triangles.
Triangle a- √3,√4,√5
Triangle b- 3,4,5
triangle c- 2,4,6
Triangle d- √2,√4√6
Answer:
triangle b and triangle d
Step-by-step explanation:
3^2+4^2=5^2
2+4=6
Answer:
Triangle b- 3,4,5
5²=3²+4²
Triangle d- √2,√4√6
(√6)²=(√2)²+(√4)²
A plant currently measures 5.5 inches tall and will grow at a rate of 1 inch per week. Andrew wants to graph this information for his Science Fair project. If x represents the number of weeks and y represents the height of the plant, which choice below correctly describes the y-intercept in this relationship?
(5.5, 0)
(0,1)
(0, 5.5)
(1, 5.5)
Answer:
0, 5.5
Step-by-step explanation:
when they ask for a y-intercept, x is always zero, so now we eliminate two of the answers, and we will only have (0, 1) or (0, 5.5). At the beginning of the question it said a plant is currently at 5.5, so it started as 5.5 (0, 5.5)
so THE ANSWER IS (0, 5.5)
PLZ MARK ME AS BRAINLIEST.
part 2 help? I’ll mark brainliest if correct
Answer:
Draw a line segment, say 5 cm long.
Below it draw a line segment 10 cm long, or whatever is twice the length!
Hope that helps!
Step-by-step explanation:
Alto and Brian both ordered the same size pizzas and Marco's Pizza;
however, they ordered different toppings. Marco's charges an additional
fee for toppings, but all toppings cost the same. Alto got pepperoni,
banana peppers, and black olives on his pizza for a cost of $15.74. Brian
order mushrooms and eggplant of his pizza and paid $14.49. Using this
information, write an equation for the cost of a pizza, C, as a function of
the toppings, t, ordered. *Hint: slope intercept form and you will need the
slope formula
Answer:
Cost of pizza = 1.25x + 11.99
Step-by-step explanation:
Since Toppings cost the same and the pizza orders are of same size :
Alto ordered for 3 Toppings + pizza = 15.74
Brian ordered for 2 toppings + pizza = 14.49
Hence the cost per topping and pizza could be found :
Cost per topping :
15.74 - 14.49 = 1.25
Hence, slope = 1.25
The intercept, c represents the cost of pizza alone :
Cost of pizza + 2 Toppings = 14.49
Cost per topping = 1.25
Cost of pizza = 14.49 - 2(1.25)
Cost of pizza = 14.49 - 2.50 = 11.99
Expressing in slope - intercept form :
y = mx + c
m = slope ; c = intercept
Cost of pizza = 1.25x + 11.99
What is the sum of the exterior angles of this octagon?
Answer: D: 360°
An octagon is supposed to have a total of 360°, each side being equivalent to 45°. In conclusion, the exterior angle of this octagon is equivalent to 360°