the sum of two numbers is 100 and their difference is 80, what are the two numbers
Answers
Answer:
The numbers are 90 and 10.
Step-by-step explanation:
Let the two numbers are x and y.
It has been given that sum of two numbers is 100. Hence, we have the equation,
x + y = 100 .........(i)
Now, the difference of these two numbers is 80. Thus, second equation is
x - y = 180......(ii)
Add equation (i) and (ii)
x + y + x - y = 100 + 80
2x = 180
Divide both sides by 2
x = 90
Substitute this value in (i)
90 + y = 100
y = 100- 90
y = 10
Therefore, the numbers are 90 and 10.
#Learn More:
The sum of two numbers is 450 and the smaller number is 120. What is the product?
Step-by-step explanation:
90 and 10x=90
y=10
Explanation:
Let x be equal to the first number.
Let y be equal to the second number.
We know that the sum of the two numbers is 100, so we can say that x+y=100.
We also know that the difference of the two numbers is 80, so we can also say that x-y=80
And now we have our two equations:
x+y=100
x-y=80
To find x and y, we first solve for one of the variables and plug it into one of the two equations to solve for the other. In this case, the easiest way to approach this question is to add both of the equations to cancel y out and solve for x (please check the picture attached for a better representation).
x+y=100
x-y=80
-> 2x=180
2x=180
Divide both sides by 2
2x/2=180/2
x=90
Now that we have found the value of the first number, x, we can plug it in to either of our two original equations to solve for y.
x+y=100
90+y=100
Subtract both sides by 90
90+y-90=100-90
y=10
Therefore, the value of x is 90 and the value of y is 10. Their sum is 100 and their difference is 80.
I hope this helps!
Related Questions
the graph below shows a quadratic function f(x) and an absolute value function g(x)
which of the following x-values are approximate solutions to the equation f(x)=g(x)? select all that apply
Answers
Answer:
The x-values that are approximate solution of the equation [tex]f(x) = g(x)[/tex] are [tex]x_{1} \approx -3.5[/tex] and [tex]x_{2}\approx 5[/tex], respectively.
Step-by-step explanation:
From graph we infer that the x-values that represents a solution to the system of equations corresponds to those values of x in which both functions coincide. As we see, there are two x-values for [tex]f(x) = g(x)[/tex], which are described below:
[tex]x_{1} \approx -3.5[/tex] and [tex]x_{2}\approx 5[/tex]
The x-values that are approximate solution of the equation [tex]f(x) = g(x)[/tex] are [tex]x_{1} \approx -3.5[/tex] and [tex]x_{2}\approx 5[/tex], respectively.
Write an equation of the line that passes through (3, 4) and is perpendicular to the line
that passes through y = -1x +7.
Answers
the solution is in the pic below :)
James and Terry open a savings account that has a 2.75% annual interest rate, compounded monthly. They deposit
$50,000 into the account. How much will be in the account after 20 years?
a. $48,407.45
b. $90,600.15
c.$86,608.14
d.$80,894.18
Answers
Answer:
a. $48,407.45
b. $90,600.15
c.$86,608.14
d.$80,894.18
What is the value of z?
Answers
z = 86
Explanation:
90 - 68 = 12
180 - 78 = 102
102 + 12 = 114
180 - 114 = 86
explanation: since the one angle is 90°, you need to take 68 away from 90, you get 22. then since the line between angle 78° and y, would add up to 120°, you must take 78° away from 120°, giving you 42 for angle y. now for 3-sided triangles, their 3 angles add up to 120°, so add 42 and 22, you get 64, and finally take 64 away from 120 and you get angle z, which is 56°
If I pay $600 in interest for my simple interest loan for $10,000 at an
interest rate of 3%, how long did I have the loan for?
Answers
Answer:
2 periods
Step-by-step explanation:
Simple interest is compounded one time, usually annually, although it could be less time or longer. Thus I answer 2 periods. If your choices include 2 years, that is most likely the answer.
To find the answer,
$10,000 x .03 = $300.
$600 / $300 = 2 periods.
Hope this helps.
Good luck
4 ice cream cones cost $6. At this rate, how much do 7 ice cream cones cost?
this is a test for middle schoolers but anyone is free to answer
Answers
Answer:
$42
Step-by-step explanation:
Equation: y = 6x
x = number of ice cream cones
y = 6(7) = 42
Hi! I believe your answer is $10.50. If it's $6 for 4 ice cream cones, divide 6 by 4 and you'll get 1.5, or $1.50 per ice cream cone. For 7 ice cream cones, multiply the unit rate ($1.50 per ice cream cone) by 7. The total cost is $10.50. I hope this helps you! Good luck and have a great day. ❤️✨
WILL GIVE BRAINIEST AND 20 POINTS AND 5 STARS !! NEED HELP ASAP, PLEASE EXPLAIN STEP BY STEP.Kole works in an electronic store. He estimates that he spends 42% of his pay in his own store. Write the decimal that represents the amount of pay he spends in the electronics store.
Answers
Answer:
0.42
Step-by-step explanation:
move the decimal point 2 to the left
which triangle is the most similar to triangle ABC?
Answers
Answer J is the answer, it is the only answer that has a ratio between the given shape of 1:2, the dilation is 1/2 or x2 if you're going from object J to ABC.
A set of average city temperatures in October are normally distributed with a mean of
20.
6
∘
C
20.6
∘
C20, point, 6, degrees, start text, C, end text and a standard deviation of
2
∘
C
2
∘
C2, degrees, start text, C, end text.
What proportion of temperatures are between
1
8
∘
C
18
∘
C18, degrees, start text, C, end text and
20.
6
∘
C
20.6
∘
C20, point, 6, degrees, start text, C, end text?
Answers
Answer:
0.4032
Step-by-step explanation:
8(4x-4)=-5x-32 pls help
Answers
Answer:
x= 0
Step-by-step explanation:
How many eight notes is equal to a halfnote
Answers
Answer: Four eighth notes
Sixteenth Notes
Step-by-step explanation: Two quarter notes equal one half note in duration and four quarter notes equal one whole note. Two eighth notes equal one quater note in duration. Four eighth notes equal one half note in duration and eight eighth notes equal one whole note.
Answer:
Four eighth notes
Four eighth notes equal one half note in duration and eight eighth notes equal one whole note. Two sixteenth notes equal one eighth note in duration and four sixteenth notes equal one quarter note in duration, etc.
The function p is defined as p(x) = x2 – 3x. If the
function q is defined as q(x) = p(x) – 4, what is the
value of q(10) ?
A) -30
B) 6
C)
66
D) 70
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]q(x) = {x}^{2} - 3x - 4[/tex]
[tex]q(10) = ( {10})^{2} - (3 \times 10) - 4 [/tex]
[tex]q(10) = 100 - 30 - 4[/tex]
[tex]q(10) = 70 - 4[/tex]
[tex]q(10) = 66[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Thus the correct answer is (( C )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Brainliest
Answer: what is 123-12(324-234)
·ω·
Answers
Answer:
-957
Step-by-step explanation:
324-234=90
12*90=1080
123-1080=-957
What is the median?
-2 -3 8 -6 -9
Answers
Answer:
-3
Step-by-step explanation:
its the middle number so you put them in order and get the ndeswer just whatevers in the midde
-9 -6 -3 -2 8
Answer:
The median is -3
Step-by-step explanation:
-9 -6 -3 -2 8 (least to greatest)
if you spun the spinner 100 times would you expect it to land on red
Answers
How many colors are there in total?
What is the boiling point of salty ocean water?
Answers
Answer: approximately 105.7°C
Step-by-step explanation:
Seawater of 35 psu has a specific heat of 0.932 compared with 1.000 for pure water. Pure water freezes at 0 °C and boils at 100 °C (212 °F) under normal pressure conditions. When salt is added, the freezing point is lowered and the boiling point is raised. Therefore, we can tell that salt increases the boiling temperature, but not by very much. If you add 3 grams of salt to 100 grams (or mL) of water, instead of boiling at 100° C, it'll boil at 100.5° C.
And I'm not sure about the ocean water because the expected range is too wide and various, so maybe I guess the boiling point of salty ocean water would be about 105.7°C?
Maria donates a fixed amount, a, to a charity each month. If she donates $300 in 12 months, what is the equation for a? A. a + 300 = 12 B. a × 300 = 12 C. a × 12 = 300 D. a + 12 = 300 E. a + 32 = 100
Answers
Answer:
a times 12=300
Step-by-step explanation:
donated each month a should be 25. $25 times 12 equals 300
Answer:
C.
a × 12 = 300
Step-by-step explanation:
38. By the commutative property, 3(w +9) is
equivalent to which expression?
A. 3w + 9
B. 3w + 27
C.
D. 3(9+ w)
Answers
Answer:
B
Step-by-step explanation:
3 ( w + 9 )
3 × w + 3 × 9
3w + 27
Hope this helps
plz mark as brainliest!!!!!!!
Also I don’t see an answer for c.
Why does multiplying the input of a linear function change
only the slope while multiplying the output changes both the slope and the
y-intercept?
Answers
Answer:
Step-by-step explanation:
If we have a linear function and we multiply the input of the function, we aren't really changing the values of the function, we're changing the rate at which those values are reached.
E.g. if you look at the attached picture, we have [tex]f(x) = 2x[/tex] and [tex]f_2(x) = 4x[/tex], which is just [tex]f(2x)[/tex]. The value when the red line is x = 1 is half that of the value of the blue line when x = 1.
The values of the f(2x) line are reaching the values of f(x) twice as fast, meaning it has a slope of twice as much. However, it still grows through the same intercept.
If you're interested in the calculus behind this, look up the chain rule of derivatives.
However, when you start changing the output of the function, you're changing the entire equation. It's not the same line anymore.
If Kayla buys 50 apples for $20 what is the unit rate?
Answers
Answer:
2.50 dollars an apple.
Step-by-step explanation:
Divide 50/20
Answer:
2.5 per apple
Step-by-step explanation:
50 ÷ 20=2.5
C.
tan(450)
Help please!
Answers
Answer:
The answer is 0
Step-by-step explanation:
PLEASE HELP ME!!! Point Q is located at (-4, 6) Point R is located at (8, 6)
what is the distance from point Q to point R?
Answers
R = (8, 6)
You can work out the distance between the points by doing the following formula:
√(x₂ - x₁)² + (y₂ - y₁)²
Factor in our points:
√(8 - -4)² + (6 - 6)²
Solve the brackets (remember a negative and a negative make a positive):
√(12)² + (0)²
= √144 + 0
= √144
Solve this expression to get your final answer of the distance between two points:
√144 = 12
I hope this helps. If it does then a Thanks or a Brainliest would mean a lot! :)
What is the equation of the line?
Answers
Answer:
y=2x=2
Step-by-step explanation:
bc the line is to the right and going up so it makes it positive and it crosses 2 on the y axis and it goes up 2 times each time
A right triangle with leg lengths of 4 and 3 units has to be positioned in the
coordinate plane to write a coordinate proof. Which set of coordinates
would make the proof easier to complete?
Answers
Answer:(0,4),(0,0),(3,0)
Step-by-step explanation:
It is easy to find lengths of horizontal and vertical segments and distances from (0,0) so always place one vertex at the origin and one or more sides on an axis.
As in this answer has y intercept, and x intercept, and (0,0)
Preston is making cookies. He has 4 over 5 cup of flour in a bag. He then used two 1 over 10 cups of flour for his recipe. Which of the following best explains the amount of flour left in the bag?
6/10 , because 4/5-2x(1/10)=4/5-3/10
5/10 , because 4/5-2x(1/10)=4/5-3/10
6/10 , because 4/5-2x(1/10)=4/5-2/10
5/10 , because 4/5-2x(1/10)=4/5-2/10
Answers
Answer:
6/10, because 4/5-2x(1/10)=4/5-2/10
Step-by-step explanation:
Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. Which equation explains the relationship between segment AB and segment A double prime B double prime? coordinate plane with triangle ABC at A negative 3 comma 3, B 1 comma negative 3, and C negative 3 comma negative 3 segment A double prime B double prime = segment AB over 2 segment AB = segment A double prime B double prime over 2 segment AB over segment A double prime B double prime = one half segment A double prime B double prime over segment AB = 2
Answers
Answer:
A. segment A double prime B double prime = segment AB over 2Step-by-step explanation:
Triangle ABC with coordinates of:
A = (-3, 3), B = (1, -3), C = (-3, -3)Translation (x + 2, y + 0), coordinates will be:
A' = (-1, 3), B = ( 3, -3), C = (-1, -3)Dilation by a scale factor of 1/2 from the origin, coordinates will be:
A'' = (-0.5, 1.5), B'' = (1.5, -1.5), C= (-0.5, -1.5)Let's find the length of AB and A''B'' using distance formula
d = √(x2-x1)² + (y2 - y1)²AB = √(1-(-3))² + (-3 -3)² = √4²+6² = √16+36 = √52 = 2√13A''B'' = √(1.5 - (-0.5)) + (-1.5 - 1.5)² = √2²+3² = √13We see that
AB = 2A''B''Now the answer options:
A. segment A double prime B double prime = segment AB over 2
CorrectB. segment AB = segment A double prime B double prime over 2
Incorrect. Should be AB = A''B''*2C. segment AB over segment A double prime B double prime = one half
Incorrect. Should be AB/A''B'' = 2D. segment A double prime B double prime over segment AB = 2
Incorrect. Should be A''B''/AB = 1/2Answer:
A. segment A double prime B double prime = segment AB over 2
Step-by-step explanation:
What is 30% of 60? A. 0.18 B. 1.8 C. 18 D. 180
Answers
Answer:
C ) 18 hope this helps !!!
Answer:
C. 18
Step-by-step explanation:
If you multiply 30%, or .3 by 60, you get 18.
what is the slope- intercept form of x+4y=16
Answers
Answer:
Y= -1/4x +4
Step-by-step explanation:
Slope intercept form is y=Mx+b
4y=16-x
Y= -1/4x +4
Hello! Did anyone took the isat ( International student admission test) ?? Please let me know !
Answers
Answer:
No, I haven't taken the isat.
Step-by-step explanation:
Answer:
No, what is it for?
Step-by-step explanation:
Daniel bought 8 pairs of socks and a tshirt. The t-shirt cost $15.
Write an equation for the Total Cost Let x = the price of socks. How much was each pair of
socks if the Total Cost was $31? Show all calculations/work.
Answers
Or
16 + 15 = 31
Not entirely sure if this is what you were asking for but I hope this helps!