[tex]\pink{\bigstar}[/tex] The larger number is [tex]\large\leadsto\boxed{\tt\purple{78}}[/tex]
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• Given:-Sum of two numbers is 100.Difference between the numbers is 56.⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• To Find:-The larger number = ?⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Solution:-Let the two numbers be 'x' and 'y' respectively.
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According to the question:-
✯ Sum of two numbers is 100.
➪ [tex]\sf x + y = 100 \dashrightarrow\bold\red{[equation \: 1]}[/tex]
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Also,
✯ Difference between the numbers is 56.
➪ [tex]\sf x - y = 100 \dashrightarrow\bold\red{[equation \: 2]}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Adding equation [1] and equation [2]:-
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf (x + y) + (x - y) = 100 + 56[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf x + y + x - y = 156[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf 2x = 156[/tex]
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➪ [tex]\sf x = \dfrac{156}{2}[/tex]
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★ [tex]\large{\bold\red{x = 78}}[/tex]
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• Substituting the value of x in equation [1]:-
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf x + y = 100[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf 78 + y = 100[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf y = 100 - 78[/tex]
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★ [tex]\large{\bold\red{y = 22}}[/tex]
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Therefore, the numbers are 78 and 22.
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The larger number is 78.
Answer:
[tex]here \: given \: that \: sum = 100 \\ diffrence = 56 \\ take \: the \:large \: number = x \\another = y \\ thenx - y = 56 \\ y = x - 56 \\ here \: x + y = 100 \\ x + x - 56 = 100 \\ 2x - 56 = 100 \\ 2x = 156 \\ x = \frac{156}{2} \\ x = 78 \\ large \: number \: = 78 \\ thank \: you[/tex]
(23,9) and (-32, 14)
Answer:
m= - 1/11
Step-by-step explanation:
its negative 1/11
Rational expression please help
Answer:
Option C is the correct answer of this question .
plz mark my answer as brainlist plzzzz.
A fishing boat is hauling up a lobster trap. A machine called a winch pulls the trap up at a constant rate of 85 feet per minute.
Each ordered pair below represents a number of minutes elapsed, t, and a number of feet the lobster trap has traveled, d.
Which ordered pairs represent the correct relationship between distance and time? Select all that apply.
A.
(1,85)
B.
(0.85,1)
C.
(0.2,17)
D.
(3.5,297.5)
E.
(4,350)
Answer:
A, C, D
Step-by-step explanation:
We know that velocity is 85 feet/minute, and distance is velocity * time, so we can multiply 85 by time to see if it equals the output
(A) 1*85-85
(B) 0.85*85 = 72.75
(C) 0.2*85 = 14
(D) 3.5*85 = 297.5
(E) 4* 85 = 340
A, C, and D match up
Write a rational function for the given scenario. There may be more than one correct answer.
Question 1. X-intercept: none
Vertical Asymptote: X = -3
Horizontal Asymptote: y = 0
Question 2. X-intercept: none
Vertical Asymptote X=2 & x= -2
Horizontal Asymptote: y = 0
Question 3 x-intercept: (3,0) & (-3,0) Vertical Asymptote: X=-1 & x= -4
Horizontal Asymptote: y = 1
Question 4. X-intercept: (-2, 0)
Vertical Asymptote: X = 4 & x=-5 Horizontal Asymptote: y=0
Need to make a rational function for each question.
Answer:
Q1: [tex]\frac{1}{x+3}[/tex]
Q2: [tex]\frac{1}{(x-2)(x+2)}[/tex]
Q3: [tex]\frac{(x-3)(x+3)}{(x+1)(x+4)}[/tex]
Q4: [tex]\frac{x(x+2)}{(x-4)^{2}(x+5) }[/tex]
Step-by-step explanation:
If there is a vertical asymptote at x=k, then the denominator must contain a term (x-k) or (x-k) raised to a positive integer power.
If there is an x intercept at k, then the numerator must contain a term (x-k) or (x-k) raised to a positive integer power.
If there is a horizontal asymptote of 0, then the highest power of x in the denominator must exceed the highest power of x in the numerator.
If thee is a horizontal asymptote of k, then the highest power of x in the numerator and denominator must be the same and the ratio of their coefficients (numerator to denominator) must be k.
Use the Distributive Property to expand - 7 (x - 2).
Answer:
-7x+14Step-by-step explanation:
Just multiply -7 by the numbers in the parenthesis.
-7 * x = -7x
-7 * 2 = -14
So we have:
-7x--14 = -7x+14
Answer:
-7x+14
Step-by-step explanation:
Distribute
Apply the distributive property.
−7x−7⋅−2
Multiply −7 by −2.
−7x+14
[RevyBreeze]
59 + 4/9y
y= -1/2
Thank you
Answer:
=
4 /9 y+59
Step-by-step explanation:
Answer: 58.78 or 58 and 7/9ths
Step-by-step explanation:
59+4/9(-1/2), 59-2/9=58.78 or 58 and 7/9ths
how many minute are there in 1 day
Answer:
There are 1440 minutes in one day.
Answer:
1440 minutes
Step-by-step explanation:
1 day = 1440 minutes
A new car is purchased for $17,000 and over time its value depreciates by one half every 3 years. What is the value of the car 19 years after it was purchased, to the nearest hundred dollars?
Answer:
The answer is "$238".
Step-by-step explanation:
Current worth[tex]= \$ 17,000[/tex]
depreciates by [tex]\frac{1}{2}[/tex] in 3 years.
time= 19 years
depreciates rate=?
Using formula:
[tex]\to \text{Worth= Current worth}(1- \frac{\text{depreciates rate}}{100})^{time}[/tex]
[tex]\to A_t=A_0(1-\frac{r}{100})^t[/tex]
calculates depreciate value in 3 year [tex]= \frac{1}{2} \times 17,000[/tex]
[tex]= 8,500[/tex]
so,
[tex]A_t=8,500\\\\A_0=17,000\\\\t=3\ years[/tex]
[tex]\to A_t=A_0(1-\frac{r}{100})^t\\\\\to 8,500= 17,000(1-\frac{r}{100})^3\\\\\to \frac{8,500}{17,000}= (1-\frac{r}{100})^3\\\\\to \frac{1}{2}= (1-\frac{r}{100})^3\\\\\to (\frac{1}{2})^{\frac{1}{3}}= (1-\frac{r}{100})\\\\\to 0.793700526 = (1-\frac{r}{100})\\\\\to \frac{r}{100} = (1-0.793700526)\\\\\to \frac{r}{100} = (1-0.8)\\\\\to r= 0.2 \times 100 \\\\\to r= 20 \%[/tex]
depreciates rate= 20%
[tex]\to \text{Worth= Current worth}(1- \frac{\text{depreciates rate}}{100})^{time}[/tex]
[tex]= \$ 17,000 (1- \frac{20}{100})^{19}\\\\= \$ 17,000 (1-0.2)^{19}\\\\= \$ 17,000 (0.8)^{19}\\\\= \$ 17,000 \times 0.014\\\\= \$ 238[/tex]
Answer:
200
Step-by-step explanation:
Halving Formula:
y=a\left(\frac{1}{2}\right)^{\frac{t}{h}}
y=a(
2
1
)
h
t
a=17000\hspace{40px}h=3\hspace{40px}t=19
a=17000h=3t=19
h is the halving time
\text{Plug in:}
Plug in:
y=17000\left(\frac{1}{2}\right)^{\frac{19}{3}}
y=17000(
2
1
)
3
19
y=210.826702215
y=210.826702215
y\approx 200
y≈200
A pair of numbers has an HCF (Highest Common Factor) of 7 , and an LCM (Lowest Common Multiple) of 42 . What is the pair of numbers
Answer:
14 and 21
Step-by-step explanation:
This is not an easy question, but luckily we can have an idea to solve this.
In this case, we need to apply the relation between HCF and LCM, which is the following:
HCM * LCM = Number 1 * Number 2
In other words, the multiplication of both factors is equal to the multiplication of the given numbers that we are looking for. Now, we do not know the numbers but we can have an idea of which numbers can be when we calculate the product of the factors:
HCM * LCM = 42 * 7 = 294
We know that the products should result 294, and if the HCM is 7, means that both numbers can be divided by 7 as the highest factor, so, let's write the multiple of 7:
Multiples of 7:
7, 14, 21, 28, 35, 42, 49, 56, 63, 70
With these we can have an idea, if 42 * 7 = 294, all we just need is to find others two numbers that the result gives 294:
14 * 7 = 98
14 * 21 = 294
14 and 21 could be the numbers, but let's confirm writting their multiples
HCM of 14: 1, 2, 7, 14
HCM of 21: 1, 3, 7, 21
LCM of 14: 14, 28, 42, 56, 70
LCM of 21: 21, 42, 63, 84
As you can see, The HCM and LCM of 14 and 21 are 7 and 42, therefore the pair of numbers are:
14 and 21Hope this helps
HELP ME PLEASE!
I am currently working on my homework and this question popped up. I don't remember how to do it... If you can, please answer this question and show your work so I can do it next time!
Thank you so much!
Find the unknown measures. Round lengths to the nearest hundredth and angle measures to the nearest degree.
Answer:
Angle CAB= 63°
Angle ABC= 90°(right-angle)
ACB=180°-(CAB+ABC)
=180°-(63°+90°)
=180°-153°
=27°
Step-by-step explanation:
Answer:
BC ≈ 2.52; AB ≈ 1.28; m∠C = 27°
Step-by-step explanation:
x is an irrational number between 7 and 10 . what is the value of x
2. Simplify 7-729.
Please I need help
Answer:
-9
Step-by-step explanation:
What is -4 +18 A. -22 B. -14 C. 14 D. 22
Answer:
c.14
Step-by-step explanation:
You can also look at this question as 18-4= 14
How long does it take an account with a principal of $400 to earn $48 in interest at a simple annual interest rate of 2%?
Answer:
6 years
Step-by-step explanation:
$8 per year 48÷8=6 years
Answer:
Dude i don´t eeven know
Step-by-step explanation:
ty for da points tho
If Kaci bought 28 pounds of cheese for $98, how much did she spend per pound?
Answer:3.5
Step-by-step explanation:98 divided by 28 would be $3.5 per pound.
Answer:
$3.5
Step-by-step explanation:
98/28=3.5
Sara and her friends are going on a day trip to the fair. The total cost for taking the train is $178.75, and the cost of each fair ticket is $15. How much does the trip cost per person if 5 people go?
Answer:
50,75 per person for both tickets
helpppppppppppppppppp
Answer:
11.5
you calculate the percentage change which is change/original x 100%
Step-by-step explanation:
There are 30 students in Mrs. Woodward’s class, and 1/2 of the class has their own cellphone. Of the group with cellphones, only 40%
have enough data to search the name of an author. How many of the students have a cellphone and data to search for the author’s name?
Is this more or less than 1/3 of the entire class?
Answer:
6 students have a cellphone and data to search for the author’s name.
That is less than 1/3 of the entire class.
Step-by-step explanation:
30 total students. Half is 15. 40% of 15 is 6. One third of 30 is 10. Which is more than 6.
(i need a fast answer) On a coordinate plane, point G is at (2, 8), point H is at (10, 10), point I is at (10, 0), and point J is at (6, negative 4). Which side has a length of 10 units?
HG
GJ
HI
IJ
Answer:The guy above me is correct you can give him brainlest.
Have a great day!
Your friend's house is 9 miles south and 12 miles west of your school. How far is your friend's house from your school?
Answer:
it says 12
Step-by-step explanation:
Therefore school and friend's house is 15 miles away from each other.
What is distance?
The length of the line segment connecting two places is called the distance between them. The length of the line segment connecting the specified coordinates can be used to compute the distance between two points in coordinate geometry. Let's look at the formula for calculating the distance between two points in two and three dimensions.
How to calculate?
If distance from my house to friend's house is x and from school to friend's house is y then distance=[tex]\sqrt{x^{2} +y^{2} }[/tex]
As it form 90degree so we can apply this formula.( Or can use trigonometric rule directly which is same.)
=[tex]\sqrt{9^{2}+12^{2}[/tex]
[tex]=15[/tex]
Therefore school and friend's house is 15 miles away from each other.
Learn more about distance-https://brainly.com/question/24349828
#SPJ2
look at the pic~ find the area of the figure please
Answer:
164 m^2
Step-by-step explanation:
14*11=154
5*2=10
10+154=164
Plsss help plssssssss
Answer:
x = 2
y = 6
Step-by-step explanation:
We have a system of equations and are asked to solve for x and y.
y = -2x + 10
y = 3x
Since both equations start with y, we can subtitute.
3x = -2x + 10
Solve for x :
Add 2x to both sides :
5x = 10
Divide 5 from both sides :
x = 2
Now substitute x in the second equation because it's more easier :
y = 3(2)
3(2)
6
y = 6
8 less a number is less than or equal to 17
Answer:
less than
Step-by-step explanation:
8 is less than 17
Answer :n ≤ 25
Step-by-step explanation:
n - 8 ≤ 17
n - 8 (+8) ≤ 17 (+8)
n ≤ 25
n ≤ 25 is your answer
help me
Andre withdrew spending money from his checking account that initially had $982. What was the amount of his withdrawal, w, if his ending balance was $922.
Answer:
$60.00
Step-by-step explanation:
you subtract the original number with the new number to see the difference.
What percent of 2/3 is 1/6? HELP!!!!! :(
Answer:
Look at the pictures
Step-by-step explanation:
Hope this helps
According to the frequency chart below, how many people have three or more brothers and sisters?
A. 5
B. 20
C. 39
D. 78
Answer:
B: 20
Step-by-step explanation:
15+
3+
2
-----
20
Does anyone know how to do these proofs, thank u so much.
Clara and Miles each improved their yards by planting
roses and daisies. They bought their supplies from the
same store. Clara spent $120 on 6 rose bushes and
8 pots of daises. Miles spent $116 on 10 rose bushes
and 4 pots of daisies. What is the cost of one rose
bush and the cost of one pot of daisies?
Answer:
Step-by-step explanation:
Rose bushes = 8 dollars
daisy pots = 9 dollars
How many distinct permutations can be made from the letters of the word
“INDEPENDENCE”?
if anyone could answer, thank you (^-^)
Answer:
360
Step-by-step explanation:
Word INDEPENDENCE has I−1, N−3, D−2, E−4, P−1, C−1
There are six different letters in INDEPENDENCE
Now according to the question, we need to form 4 different letter words, So the selection of 4 words out of 6 is
[tex]^{6}C _{4}[/tex]
and making its arrangements
So total number of ways is
[tex]^{6}C _{4}[/tex] ×4!=360
The number of distinct permutations can be made from the letters of the word “INDEPENDENCE” is; 1663200
We are given the word INDEPENDENCE and it has;
I − oneN - threeD − twoE - fourP - oneC - oneThus, we see that there are six different letters and 12 letters in total in INDEPENDENCE
Now from the question, the distinct permutations that can be formed is;
12!/(3! × 2! × 4!) = 1663200
Read more on permutations at; https://brainly.com/question/12468032
Tell whether (-8,2) is a solution of -x-6y>12
Answer:
it ain't
Step-by-step explanation:
x = -8
y = 2
-(-8) - 2(6) > 12
8 - 12 > 12
-4 > 12
This is incorrect