The sum of two numbers is 43, and their product is 450. What is their difference?
Answers
Answer:
List the factors of 450
1,450
3,150
5,90
6,75
9,50
10,45
15,30
18,25
The factor with the sum of 43 is 18+25
25-18=7 so the difference is 7
hope this helps
Step-by-step explanation:
The difference between the numbers be 25 -18 = 7.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let the two numbers be x and y
The sum of two numbers is 43
x+ y = 43.....(1)
and, product is 450
xy = 450
y= 450 / x
put value of y in equation (1)
x+ 450/x = 43
x² - 43x + 450 = 0
x² - 18x - 15x + 450 = 0
x( x- 18) - 15 ( x- 18)= 0
(x- 15) ( x- 18)= 0
x= 15, 18
So, the number are 18 and 25.
Hence, the difference between the numbers be 25 -18 = 7.
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Related Questions
5. Evaluate x/y + 3z squared, for x =3/10, y = 4/5, and z = 3
A. 8/57
B. 57/8
C. 218/8
D. 8/219
Answers
How did you decide where to place your line of best fit? Describe your reasoning.
Based on your data, describe the relationship between age and the number of U.S. states a person can name in 60 seconds.
Do you see any areas in your data or points that could be considered clusters or outliers? Explain your answer in complete sentences.
Trolls will be reported
Answers
Answer:So I don’t know the other 5 points because you didn’t give the data about the age and number of US states named in 60 seconds, but using the 5coordinate points you gave, I was able to make this line of best fit.
So basically the units are counting up by 5.
The x axis is age in years and y axis is the number of US states named in 60 seconds.
Since you didn’t give me the data to make the other 5 points, I can’t really answer the last question, but from the graph that I did make, there are no points that would be considered outliers, and there are no clusters in sight.
(BTW THIS IS IMPORTANT!! - when you use the data to add the other 5 points, there might be an outlier or more then one outlier. And there might be a cluster. Just look at it after you graph the last 5 and change the answer I gave you if there is an outlier or cluster)
Step-by-step explanation:
help pls thanks :DDDD
Answers
Which property is demonstrated by the following statement? 13 + (27 + g) = (13 + 27) + 6 Please help me I am being timed!!!
Answers
Answer:
Associative property under addition is the answers
Step-by-step explanation:
please mark me as brainlest
What is the measurement of the longest line segment in a right rectangular prism that is 11.2 centimeters long, 6.6 centimeters wide, and 6 centimeters tall?
Answers
Answer:
Step-by-step explanation:
3.1313109
Answer: the answer should equal 3.131
Step-by-step explanation: as this is the measurement of the longest line in right rectangular prism.
Please got brainliest
A square prism has square sides with area ++x squared , plus 8 x plus 16 and rectangular sides with area ++2 , x squared , plus 15 x plus 28. What expression represents the surface area of the square prism?
Answers
Answer:
10x^2+76x+144
Step-by-step explanation: ayo if i helped thank me i hoped i did have a great day
5(x-4)help please I will appreciate it
Answers
Answer:
5x-20 should be the correct answer
Emily predicted her car payment to be
$250 each month. Her actual car payment is
$275 each month. Enrique predicted his car
payment to be $200 each month. His actual
car payment is $225 each month.
a. By what percent was Emily’s prediction
off?
b. By what percent was Enrique’s prediction
off?
Answers
Answer:
25%
Step-by-step explanation:
25, 50, 75, 100
225-200=25 275-250=25
9.09% was Emily’s prediction off and 11.1% was Enrique’s prediction off.
Given that, Emily predicted her car payment to be $250 each month. Her actual car payment is $275 each month.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Emily's difference in payment
= 275-250
=25
Now, percentage = 25/275 × 100
= 0.0909 × 100
= 9.09 %
Enrique's difference in payment
= 225-200
= 25
Now, percentage = 25/225 × 100
= 0.111 × 100
= 11.1%
Therefore, 9.09% was Emily’s prediction off and 11.1% was Enrique’s prediction off.
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Can someone help I am confused
Answers
1. No
2.Yes
3.Yes
4.No
:)
Answer:
No, Yes, Yes, No
Step-by-step explanation:
The most clear aspect of right triangles is, the sum of square value of two of its legs is equal to square value of hypotenuse (the longest side)
for the first option:
10, 15, 20 : No
10^2+15^2 = 325 while the suare value of 20 is equal to 400.
we don't have to check the following values:
8,15,17 : Yes
5,12,13 : Yes
Because these are the side lengths of special right triangles according to Pythagoras
as for 4,5,6
4^2 + 5^2 = 41 while the square value of 6^2 = 36
1. What is the distance bewteen the pair of points? (3,3) and (3,-2)
2. Distance bewteen (-1,9) and (-8,9)?
Answers
Answer:
I believe 1 is 5 and 2 is 7!
Answer:
1. Distance: 5 units
2. Distance: 7 units
Step-by-step explanation:
You can’t simply graph it, that’s the easiest way to do it!
I hope this helped, good luck! :)
Keira said that if 6 tickets are sold, there should be 2 tickets left. Is Keira correct?
Answers
According to Keira, if 6 tickets are sold, there should be 2 tickets left. However, we don't have any information about the initial number of tickets available.
If the total number of tickets initially was 8, and 6 tickets were sold, then there would indeed be 2 tickets left, supporting Keira's statement.
However, if the total number of tickets initially was less than 8, or if the statement doesn't specify the initial number of tickets, we cannot determine if Keira's statement is correct.
Therefore, without additional information, we cannot determine the accuracy of Keira's statement.
Find x and y. pls help
Answers
Answer:
y = 21
x = 8
Step-by-step explanation:
AB = 180
27 + 3y = 90°
-27 -27
-----------------------
3y = 63
÷3 ÷3
--------------
y = 21
x + 27 + 3y + 8x + 18 = 180
9x + 45 + 3(21) = 180
9x + 45 + 63 = 180
9x + 108 = 180
-108 -108
-----------------------
9x = 72
÷9 ÷9
----------------
x = 8
I hope this helps!
X = 8
We can figure out Y by finding the right angle. A right angle is 90 degrees so we start out with:
90-27
Then,
63/3
21.
Do the same for X to get 8
SOLVE for T:
16-2t=t+9+5t
Answers
16 = 8t + 9 (add 2t to both sides)
5 = 8t (subtract 9 from both sides)
t = 7/8
Some students recorded how many minutes they spent on the phone in one day. They put the results in a Stem-and-Leaf Plot.
What is the mean number of minutes spent on the phone?
Answers
Explanation:
The data from the stem-and-leaf plot is:
10,
24,25,26,
30,30,32,33,
40,45,46
Add up those values
10+24+25+26+30+30+32+33+40+45+46 = 341
Then divide over n = 11 which is the sample size.
341/11 = 31 is the arithmetic mean.
Answer:
341/11 = 31 is the arithmetic mean.
Step-by-step explanation:
so basically you can just tell me where the boxes go and bam you get 20 points
Answers
Step-by-step explanation:
(2/3)(-4)(9) = -24
(5/16)(-2)(-4)(-4/5)= -2
(-3/4)(7/8)=-21/32
(2 3/5) (7/9)=91/45
(5/6) x (-2)(-4) x (-4/5) -> -2
(-3/4) x (7/8) -> -21/32
(2 3/5) x (7/9) -> 91/45
Use a two-dimensional representation of the prism, if necessary, to find the area of the entire surface of the prism.
The surface area of the prism is
square units.
PLEAS HELP
Answers
Answer:
Avea = 74 square units
Step-by-step explanation:
\(Sunface\ unea=2\left(lb+bh+lh\right)\)
\(=2(5\times4+4\times3+5\times3)\)
\(=2(20+12+15)\)
\(=2(37)\)
\(=74\)
I hope this helps you
:)
2, 3, 5, 9, 17, 22, 31, 39
Regina kept track of the points she scored during her team’s first eight basketball games. What is Regina’s mean score?
Responses
A 3939
B 1616
C 3737
D 1313
E 17
Answers
Answer:
Mean = 16
Step-by-step explanation:
MEAN can be find bg the sum of all score divided by the amount of the score.
Mean = total amount / number of amount
Total amount = 2 + 3 + 5 + 9 + 17+ 22 + 31 + 39
= 128
number of amount = 2, 3, 5, 9, 17, 22, 31, 39
= 8
Then we can calculate mean as
Mean = 128/8
Mean = 16
2+3+5+9+17+22+31+39=128
128/8=16
When mom is doing cleaning on her own it takes 2 hours. When dad does cleaning, it takes 4 hours. How long will it take if both of them work together?
Answers
Please help me answer.
Answers
Answer: First blank is 15 then 28 then 25 in the last blank.
Step-by-step explanation:
On the left side column it is going up by 5 and the right column is going up by 7.
And second column is 7,14,21,28,35
What is the quotient 27.2 4 0.8?
Answers
Answer:1.5 or .6667
Step-by-step explanation:40.8 divided by 27.2 equals 1.5
40.8 divided by 27.2 equals .6667
Answer:
The quotient calculator will help you divide two numbers and return both fractional and remainder results.
27 ÷ 4 = 27 \div 4 = 27÷4=27, divided by, 4, equals.
Hope it helps.
URGENT HELP FOR A LOT OF POINTS
Choose the correct notation five cubed:
Options:
5 × 2
5 × 3
5 × 4
52
53
54
Answers
Is the answer for x correct?
Answers
Answer:
No
Step-by-step explanation:
Because of the negative -5^3 is -125 not 125 which makes the statement false
Pls help will give brainlest.
Solve each equation.
Two step equations - integers
Q1. Solve 1 - 7b = -20
Q2. Solve -k - 5 = 0
Q3. Solve -1 + 8a = -129
Answers
Q2: k=-5
Q3 a=-16
The required answers by solving two-step equations are:
Q1. The solution of equation 1 - 7b = -20 is b = 3
Q2. The solution of equation -k - 5 =20 is k = -5
Q3. The solution of equation-1 + 8a = -129 is a = -16
Q1. Solve 1 - 7b = -20
To solve this equation, we will isolate the variable b by performing two steps.
Step 1: Subtract 1 from both sides of the equation:
1 - 1 - 7b = -20 - 1
-7b = -21
Step 2: Divide both sides of the equation by -7 to solve for b:
(-7b) / -7 = (-21) / -7
b = 3
Therefore, the solution to the equation 1 - 7b = -20 is b = 3.
Q2. Solve -k - 5 = 0
To solve this equation, we will isolate the variable k by performing two steps.
Step 1: Add 5 to both sides of the equation:
(-k) - 5 + 5 = 0 + 5
-k = 5
Step 2: Multiply both sides of the equation by -1 to solve for k:
(-k) * (-1) = 5 * (-1)
k = -5
Therefore, the solution to the equation -k - 5 = 0 is k = -5.
Q3. Solve -1 + 8a = -129
To solve this equation, we will isolate the variable a by performing two steps.
Step 1: Add 1 to both sides of the equation:
(-1) + 1 + 8a = -129 + 1
8a = -128
Step 2: Divide both sides of the equation by 8 to solve for a:
(8a) / 8 = (-128) / 8
a = -16
Therefore, the solution to the equation -1 + 8a = -129 is a = -16.
Therefore, the required answers by solving two-step equations are:
Q1. The solution of equation 1 - 7b = -20 is b = 3
Q2. The solution of equation -k - 5 =20 is k = -5
Q3. The solution of equation-1 + 8a = -129 is a = -16
Learn more about solving two-step equations.
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Determine which expression is equivalent to the expression 5 over 4 times g minus 3 minus 7 over 12 times g minus the expression one over 3 times g plus 15
Answers
Answer:-4/15 - 17
negative 4 over 15 plus negative 17
Explain: negative 4 over 15 plus negative 17
Please Help! Explain or will be deleted!
Tim recorded that 2 out of 7 customers used a shopping cart at a grocery store. Based on these results, how many customers out of 350 can be expected to use a shopping cart?
Answers
Answer:
50 customers can be expected to use a shopping cart at a grocery store
Step-by-step explanation:
We can create the equation 2/7 = x/350 (x representing the new number of customers).
We then can do 350/7 which equals 50.
This means that our new equation is 2/7 = 50/350.
Therefore, it is expected that fifty out of three hundred and fifty customers will be expected to use a shopping cart at a grocery store.
the graph shows four ordered pairs that represent ratios. Which ordered pair represents a ratio that is not equivalent to the others
A.) (2, 12)
B.) (3, 18)
C.) (5, 24)
D.) (6, 36)
Answers
Answer:
C (I forgot the rule, but it is C because it is the only time when the division of both elements does not equal 6. And sorry for my English!)
For a given input value `b`, the function `f` outputs a value `a` to satisfy the equation `4a+7b=-52`. Write a formula for `f(b)` in terms of `b`.
Answers
Answer:
a = f(b) = -13 - 7/4b
19. If m<8=115 degrees, what is m<5?
Answers
Answer: The answer is 115<
Step-by-step explanation:
M<8 and m<5 are corresponding angles
Help Please!
Question: select all the equations that can be represented by a straight line when graphed on the coordinate plane
B; u=7t³ -10
C: u=2t-5
D:u=8t-2
E u= 1/t +3
F: - 2t+ 3u=6
G: u=-4( t + 3)
Answers
Which geometry includes a triangle that has angle measures of 45°, 61°, and 70°? Euclidean geometry hyperbolic geometry elliptical geometry spherical geometry
Answers
Answer:
The sum of angles is 176° which is less than 180°, hence it is a:
Hyperbolic Geometry
Step-by-step explanation:
In Euclidean geometry, sum of all the angle of the triangles is equal to a straight line, which means the sum of all angles is equals to 180°
Hyperbolic geometries are Non-Euclidean geometries which strictly has the sum of all angles less than 180°. The difference between the 180° and the sum of angles found is usually known as Defect.
Elliptical Geometries are Non-Euclidean geometries, the sum of angles of the triangle is always greater than 180°
Spherical geometries are also Non-Euclidean geometries which shows a 2-D surface of a sphere. The sum of angles is always great than 180° and less than 540°
There is only 1 valid option i.e Hyperbolic Geometries.
Answer:
hhhh
Step-by-step explanation: