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]
..........................
If 1/4 gallons of water are enough to fill 7/10 of the pool how much water is nessacary to fill in the entire pool
============================================================
Work Shown:
1/4 = 0.25
7/10 = 0.70 = 70%
We are told that 0.25 gallons of water fills 70% of the pool
We want to find how many gallons of water (call it x) are needed to fill 100% of the pool.
Set up the proportion below and solve for x
(0.25 gallons)/(70% filled) = (x gallons)/(100% filled)
0.25/70 = x/100
0.25*100 = 70x ....... cross multiply
25 = 70x
70x = 25
x = 25/70
x = (5*5)/(5*14)
x = 5/14 gallons
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An alternate method:
1/4 gallons = 7/10 pools filled
(10/7)*(1/4 gallons) = (10/7)*(7/10 pools filled)
(10*1)/(7*4) gallons = (10*7)/(7*10) pools filled
10/28 gallons = 1 pool filled
(5*2)/(14*2) gallons = 1 pool filled
5/14 gallons = 1 pool filled
In the second step, I multiplied both sides by 10/7 so that the "7/10" turns into "1".
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Yet another alternate method:
1/4 = 10/40
7/10 = 28/40
We need 10/40 gallons of water to fill 28/40 of one pool. We can multiply both fractions by 40 to indicate that 10 gallons of water will fill up 28 pools.
So we have this ratio
10 gallons : 28 pools
Dividing both parts by 28 tells us how many gallons are needed for one pool
10 gallons : 28 pools
10/28 gallons : 28/28 pools
10/28 gallons : 1 pool
5/14 gallons : 1 pool
HELP HELP DUE in 11 ahahhajs
Answer:
1st one: 270 ft ^2
2nd: 30 square yards
Step-by-step explanation:
The first one you have to find the area. 15×18= 270
The second one you take the previous answer and divide by 9= 30 square yard. (Might be wrong?)
Please help with this! The problem I need help with is problem 7.
Step-by-step explanation:
Cost per box : $1.2
[tex] \frac{1.5}{12} \times 100\% = 12.5\%[/tex]
6(X - 2) = -48
Find x
Answer:
6x-12=-48
6x=-36
x=-6
Step-by-step explanation:
Find the value of x. Round your answer to the nearest tenth.
Help please!
HELPPP (hopefully this on works)
Answer:
marla is 180m from the info center and she walked 240m from the parking lot to the lake
2. What is the slope of a line that is parallel to the line shown?
A) 3/2
B)-2/3
C) -3/2
D)2/3
Mahra has 3 adults and 2 children coming over. She is going to serve 2 small apple pies. If she plans to give each person, including herself, an equal amount of pie. How much pie will each person get?
Answer:
1/3 pies per person
Step-by-step explanation:
there are 6 people who gets served.
2 pies / 6 people = 1/3 pies per person
Answer:
2/6 = 1/3
She has 5 visitors + herself=6
Six people share 2 pies
She'll have to cut each pie into 3 equal pieces
So everyone will get a third of an apple
That is 1/3
What’s the rate of -5x - 6
Answer:
30
Step-by-step explanation:
I need help with this ?
Answer:
8(3y + 2) = 8 * 3y + 8 * 2 = 24y + 16
Step-by-step explanation:
The outer rectangle has width 8 and length 3y + 2.
The area of the outer rectangle is length times width or width times length, so the area is 8(3y + 2).
We can also find the area by finding the area of each small rectangle, and adding the areas together.
The left small rectangle has dimensions 8 and 3y.
A1 = WL = 8 * 3y = 24y
The right small rectangle has dimensions 8 and 2.
A2 = WL = 8 * 2 = 16
The total area of both small rectangles is 24y + 16
That tells use that
8(3y + 2) = 8 * 3y + 8 * 2 = 24y + 16
This is the distributive property at work.
1) You can spend at most $24 at the fair. Game
tickets cost $2 each, and ride tickets cost $4
each. You want to buy at least 3 game tickets
and more than 2 ride tickets. Write a system
of linear inequalities that represents the
situation. How many of each ticket can you
buy?
Answer:
2x+4y= 24
x≥3
y≤2
Step-by-step explanation:
Given data
total expenses= $24
let the number of tickets be x
and the number of rides be y
Tickets cost $2 each, and ride tickets cost $4
Hence the expression for the situation is given as
2x+4y= 24
x≥3
y≤2
what is 6 root 2 divided by 2 simplified to
Answer:
Exact Form:
3
√
2
3
2
Decimal Form:
4.24264068
Step-by-step explanation:
if x stands for am number what is the mathematical phrase that represents three more than the number
Akhila works for a company with over 1000 employees, of whom 83% have pierced ears. Every year, each
employee draws another employee's name and gives them a gift. Let I be the number of names Akhila
draws until she draws an employee's name who does not have pierced ears.
What type of variable is T?
Answer:
Geometric
Step-by-step explanation:
Trust
Greatest Value Emer your answer then press "S 5 + 7.6
Answer:
5s+7.6 is already simplified
Step-by-step explanation:
Hope I answered your question correctly:)
Which statement is not true
Answer:
a that corresponds to y is wrong
9 g = 207
g=___? Helppp!
Answer:
g = 23
Step-by-step explanation:
Divide 207 / 9 = 23
Answer:
G=120
Step-by-step explanation:
Helpppp meee pleaseee
Who create the division
Answer:
Petter Sydow : A producer of division.
Step-by-step explanation:
Answer: Johann Heinrich Rahn
It was introduced by the Swiss mathematician, Johann Heinrich Rahn, in his work Teutsche Algebra (1659). This symbol was not much of a success in his home country of Switzerland or in Europe. But however, it was in both the Britain and also the USA.
What is the area of the following trapezoid in the following graph (there is an attachment)
Answer:
72 square units
Step-by-step explanation:
I asked my parents they agree, but i'm not sure if it's right or not.
Pls help me urgent pls
Answer:
You can use distance formula,
i. e. underroot (x sub2 - x sub1 )^ 2 - (y sub2 - y sub1 )
where u take first point as x sub1 and x sub2
and,
take second point as y sub1 and y sub2
where,
sub = subscript
Try for urselves and let me know
Hope it helps
Hope it helps ALL THE BEST !!
Could someone please help me with these two???
Solving systems of equations using substitution. y=2x+8. y=5-x
Answer:
(x, y) = (-1, 6)
Step-by-step explanation:
y = 2x + 8
y = 5 - x
Substituting the second equation into the first equation, we get:
5 - x = 2x + 8
5 = 3x + 8
-3 = 3x
x = -1.
So, y = 5 - (-1).
Simplifying, we get:
y = 6.
Please help with math
Answer:
sin x= opp/hyp
sin x=18/30
sin x =3/5
cos x= adj/hyp
cos x=24/30
cos x=4/5
tan x=opp/adj
tan x=18/24
tan x=3/4
POINTS POINTS PLEASE HELP POUNTS WILL BE GIVEN
Answer:
option 3 / hope this helps
Step-by-step explanation:
i did this test a while ago so if its wrong im sorry
Answer:
[tex] m\angle A = 40\degree[/tex]
Step-by-step explanation:
[tex]m\angle A = \frac{1}{2} (115 \degree - 35 \degree) \\ \\ m\angle A = \frac{1}{2} \times 80\degree \\ \\ m\angle A = 40\degree \\ \\ [/tex]
On a farm, 4 and half out of every 15 acres of the land are used to grow crops.
Wheat is grown on 5/8 of the land used to grow crops.
What percentage of the total area of the land on the farm is used to grow wheat?
Given :
On a farm, 4 and half out of every 15 acres of the land are used to grow crops.
Wheat is grown on 5/8 of the land used to grow crops.
To Find :
The total area of the land on the farm is used to grow wheat.
Solution :
Land required to grow crops on every 15 acres is :
C = 4.5 or C = [tex]\dfrac{9}{2}[/tex] acres.
Now, it is given that wheat is grown on [tex]\dfrac{5}{8}[/tex] of the land used to grow crops.
[tex]W = \dfrac{9}{2}\times \dfrac{5}{8}\\\\W = \dfrac{45}{16}\ acres[/tex]
Now, percentage of the total area of the land on the farm is used to grow wheat is :
[tex]\% W = \dfrac{45}{16\times 15 }\times 100\\\\\%W = 18.75 \%[/tex]
Hence, this is the required solution.
John is 5 years older than Mary. In 10 years, twice John's age decreased by Mary's age is 35, and John's age will be
twice Mary's current age. Find their ages now.
If x is Mary's age now and yis John's age now, which system of equations could not be used to solve the problem?
Answer:
M=15
J=20
Step-by-step explanation:
Let J and M be the present age of John and Mary respectively:
J=M+5
2(J+10)−(M+10)=35
2(M+5+10)−(M+10)=35
2M+30−M−10=35
M=15
J=20
Solve each system
7) 8x-y=3
y=-8x - 3
Please help
Answer:
i cant answer this because of my school computer but its simple
Step-by-step explanation:
Answer: x & y
0 & -3
1 & 5
slope : 8
y intercept : -3
PLEASE HELPPP!!! I will mark you the BRAINLIEST
A line passes through (-3, -1) and is parallel to the graph of y = 3x-4 has a slope Please help
Answer:
-12
Step-by-step explanation:
