the sum of two numbers is 100 and their difference is 80, what are the two numbers
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 10Which expression can go in the blank to make the equation true? 60 – 31.2 + ? = 0 a. 60 – 31.2 b. -60 + (-31.2) c. 31.2 - 60 d. 60 - (- 31.2)
Answer:
(c) 31.2-60
Step-by-step explanation:
Given that
60 – 31.2 + ? = 0
[tex]\Rightarrow ?=31.2-60[/tex]
This is the same as the expression in option (c) 31.2-60.
Hence, option (c) is correct.
Find the value of x that makes m ∥ n .
Answer:
60
Step-by-step explanation:
(2x+15)=135 They're corresponding angles so they equal/congruent
-15 -15 Subtract 15 on both sides since you're looking for x
2x = 120 Bring down the remains and subtract 135 from 15
2 2 Add 2 on both sides
x= 60 Divide.
Which expression is equivalent and why?
9514 1404 393
Answer:
C. 1.15x
Step-by-step explanation:
You are given the expression for the cost:
x + 0.15x
Combining like terms, this becomes ...
1.15x . . . . . matches choice C
2 + 3x²y - 1⁄2y + y - 1
Answer:
3x²y+0.5y+1
Step-by-step explanation:
2+3x²y -0.5y+y -1
2 and -1 is 1
-0.5y and +y is +0.5y so the answer is...
don leaves home 2pm. he drives 45 miles from home in the first hour
Answer:
if he leave at 2pm 45 miles in the first hr is the correct answer 3 pm
Step-by-step explanation:
Test your PEMDAS
6+8/2(2+2)
This one is tricky
Answer:
6+8÷2×4
6+16
=22
Step-by-step explanation:
add the numbers
calculate the new expression
add the numbers
Answer: hint use pemdas
Step-by-step explanation:
Write or describe the function that flips over the x-axis, shifts right .5
units, and up 12 units. *
F(x) = (4x–5)/6
Find the Inverse
Answer:
F^-1 (x) = 3x/2+5/4
Step-by-step explanation:
First, replace f(x) with y
Replace every x with a y and replace every y with an x .
Solve the equation from Step 2 for y
Replace y with f−1(x) f − 1 ( x )
Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.
Hope this helps! Stay Safe!
I spent $120 shopping for food last week. This week I spent 12% more.
Which expression could be used to find how much I spent on food this
week?
Answer:
$120*.12= then add the answer to the money amount
Step-by-step explanation:
Answer: 120*1.12
The multiplier 1.12 represents the idea of increasing by 12%
This is because 100% + 12% = 1 + 0.12 = 1.12
For example, if you spend $100 this week and increase that by 12%, then you'll spend 100*1.12 = 112 dollars next week. Note how 12% of 100 is 12, which is the amount the budget goes up.
la razón entre dos triángulos es 4. Los lados del primer triángulo miden 6cm, 9cm, 12cm, ¿Cuáles son las
medidas del segundo triángulo?
Answer:
24cm, 36cm y 48cm
Step-by-step explanation:
Tu necesitas multiplicar cada lado por 4 porque 4 es el factor de escala.
(Lo siento si mi explicacion es mala, no se mucho Español, entonces no puedo explicar muy bien)
I need help bad please anyone I need this
Answer:
The answer is A because 144 - 121 = 23 so
Step-by-step explanation:
because 144 - 121 = 23
Equation parallel y= -3 also passes through the point (2,5)
Answer:
When somethins is parallel it never crosses each other, this means the new equation has to have the same slope but, since y=-3 is a straight line we just have to make the new line also a straight line, maknig sure it passes through (2,5).
To do this make y equal the y-coordinate of the points it needs to pass through. This would make the answer y=5
Step-by-step explanation:
In a survey 2800 people who owned a certain type of car, 1820 people said they would want to buy the type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
65%
Step-by-step explanation:
1820/2800 percent.
(65%)
The unit rate declines on the of people satisfied/ the number of people total.
Hope this helps plz mark brainliest :D
Step-by-step explanation:
1820/2800
=65%
hope this may help you
i think of a number add 3 to it and multiply the results by 6
Answer:45
Step-by-step explanation:
Answer:
43
Step-by-step explanation:
25+(3*6)=43
The Gill family got a new puppy. The new puppy weighed 7.2 pounds when they got him. Within the first two months, the puppy gained 80% of his original weight. What is the weight of the puppy at the end of two months?
a 5.76 pounds
b 12.96 pounds
c 8.64 pounds
d 8 pounds
explain plzzz
Answer:
B. 12.96
Step-by-step explanation:First, you need to find 80% of 7.2 which is 5.76. Then, you add 7.2 plus 5.76 and that gives you 12.96.
Answer:12.69
Step-by-step explanation:
7.2 pounds + 80% =
12.96 pounds im telling you
whats the answer im stuck ( -___-)
Answer:
(6r+7)+(13+7r)=13r+20
(13-1/2r)-(1-r)=12-1/2r
(-8-r)+(2r-4)=-12+r
Last one is r-13/6
Step-by-step explanation:
Your family buys tickets for the Ranger game. Each ticket costs $16. You also have to pay for parking. After buying 4 tickets, your total bill is $96.50.
a) How much did you pay for parking?
b) Write an equation that gives your total bill (in dollars) as a function of the number of tickets you buy. Be sure to define your variables!
c) How many tickets could you buy with $250 if you also have to pay for parking?
Part (a)
Answer: $32.50
--------------------
Work Shown:
Each ticket costs $16. If you buy four of them, then you paid 4*16 = 64 dollars.
The total bill was $96.50
This leaves 96.50-64 = 32.50 for parking.
======================================================
Part (b)
Answer: y = 16x+32.50
--------------------
Work Shown:
x = number of tickets
y = total bill (in dollars)
1 ticket costs 16 dollars
x tickets cost 16x dollars since we multiply both values by x
Add on the cost of parking to get a total bill of y = 16x+32.50
======================================================
Part (c)
Answer: at most 13 tickets
In other words, 13 is the max you can get.
--------------------
Work Shown:
Plug y = 250 into the equation found back in part (b). Solve for x
We'll follow PEMDAS in reverse to isolate x
y = 16x+32.50
250 = 16x+32.50
16x+32.50 = 250
16x = 250-32.50
16x = 217.5
x = 217.5/16
x = 13.59375
Since we can't buy a fraction of a ticket, we must round down to the nearest whole number. We cannot round to x = 14 despite the value 13.59375 being closer to 14 as it is to 13.
x = 13 is the answer we're after.
If we plug in x = 13, we get
y = 16x+32.50 = 16*13+32.50 = 240.5
while x = 14 leads to
y = 16x+32.50 = 16*14+32.50 = 256.5
The first result of $240.50 is under $250 while the second result $256.50 is over $250. So that's why x = 13 is the largest number of tickets we can buy.
a) The parking fee is $32.50.
b) The equation is T(N) = 16N + Parking fee
c) Approximately 13 or 14 tickets.
We have,
a)
Total bill - Cost of tickets = Parking fee
$96.50 - ($16 * 4) = Parking fee
$96.50 - $64 = Parking fee
Parking fee = $32.50
b)
Total bill = T
Number of tickets = N
The equation that gives your total bill (in dollars) as a function of the number of tickets you buy is:
T(N) = 16N + Parking fee
c)
T(N) = 16N + Parking fee
Substituting the given values:
$250 = 16N + Parking fee
$250 = 16N + $32.50
$250 - $32.50 = 16N
$217.5/16 = N
N ≈ $13.6
Thus,
a) $32.50
b) T(N) = 16N + Parking fee
c) Approximately 13 or 14 tickets.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ6
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What is the coefficient of the third term in this expression?
–k2n+5mn3–9n3–m3n
Answer:
27
Step-by-step explanation:
9x3 is 27. Coefficient is the number in the term.
Help plz:))) I’ll mark u brainliest
ASAP!!!
Answer:
isosceles
Step-by-step explanation:
the two bottom angles are equivalent
the top angle is different
two sides are also of equal length
PLEASE PLEASE PLEASE HELP ME I WILL MARK BRAINALIST AND EXTRA POINTS TO THE FIRST PERSON
Answer:
Its C
Step-by-step explanation:
The following lines: y=2/3(x) and y=-3/2(x) are...
O Intersectings=
O Neither
O Parallel
O Perpendicular
Need ASAP
Answer:
the answer to this question is parallel
Sean has $250 in his bank account. He deposits $35 from his birthday and then
buys clothes for school for $75. How much is in his account now?
Answer:
210 dollars left
Step-by-step explanation:
Answer:
he has 210 dollars left
Step-by-step explanation:
250+35=285
285-75=210
At a candy store, you can buy pre-filled bags of candy that weigh 2 1/4 pounds for $8. At this same rate, how much would a 4 pound
bag of candy cost?
Answer:
$14.22Step-by-step explanation:
step one:
given data
we are told that 2 1/4( 2.25 pound) of candy cost $8
let us find the cost of 1 pound first
so
2.25 pound cost #8
1 pound will cost x
cross multiply
x=8/2.25
x=$3.55 for one pound.
step two:
Hence if 1 pound cost $3.55
4 pound will cost = 3.55*4= $14.22
1. Mrs. Rutherford planted flowers in a rectangular garden. The width of the garden is (X-5) feet and the length of the garden is 2 feet longer than the width. Write an
expression for the area of the garden
Answer:
area = 2 + (x-5) * (x-5)
Step-by-step explanation:
area of a rectangle= length * width
length = 2 + (x-5)
width = x-5
Answer:
im not sure
Step-by-step explanation:
um work here
v
Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.
PLEASE HELP. WORTH 25 POINTS. PICTURE BELOW
Answer:
y = 5
x = 14
Step-by-step explanation:
AOC=25
AOL=90
Therefore COL = 65
COM is a 90 degree angle since MOD is 90 degrees
COM - COL = 90 - 65 = 25
5y = 25
y=5
LOB = 90
5y + 3x + 23 = 90
5(5) + 3x +23 = 90
25 + 3x + 23 = 90
48 + 3x = 90
3x= 90 - 48
3x = 42
x= 14
Answer:
x = 14, y = 5
Step-by-step explanation:
MOB = LOC
(3x + 23) + 25 = 90
3x + 23 = 65
3x = 42
x = 14
3(14)+23 + 5y = 90°
5y = 25
y = 5
Select all the pairs that could be reasonable approximations for the diameter and circumference of a circle. * 1 point A. 5 meters and 22 meters. B. 19 inches and 60 inches. C. 33 centimeters and 80 centimeters.
Answer:
B. 19 inches and 60 inches.
Step-by-step explanation:
Required
Select matching pairs
Represent diameter with D and Circumference with C
C is calculated as:
[tex]C = \pi D[/tex]
Where
[tex]\pi = 3.142[/tex]
A. D = 5m; C = 22m
Using: [tex]C = \pi D[/tex]
[tex]C = 3.142 * 5[/tex]
[tex]C = 15.71[/tex]
15.71 does not approximates to 22m.
Hence, the pair do not match
B. D = 19 in; C = 60 in
Using: [tex]C = \pi D[/tex]
[tex]C = 3.142 * 19[/tex]
[tex]C = 59.698[/tex]
59.698 approximates to 60.
Hence, the pair match
C. D = 33 cm; D = 80 cm.
Using: [tex]C = \pi D[/tex]
[tex]C =3.142 * 33[/tex]
[tex]C =103.686[/tex]
103.686 does not approximates to 22m.
Hence, the pair do not match
From the analysis above, only option B matches the diameter with the circumference
The temperature drops 2°F every hour. Make a table and write an equation to represent the total temperature drop over time.
(−12)⋅(−12)⋅(−12)
lkndslnfkdsbdf
Answer:
-1728
Step-by-step explanation:
First, you multiply -12 and -12 which is 144
After that multiply 144 by -12 which is -1728
Answer: -1728
Hope this helps!
Answer:
-1728
Step-by-step explanation:
Using the graph, find the
1. Domain
2. Range
3. Is it a function? Why or why not?
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Answer:
domain: {-5, -4, 2, 5}range: {-6, 1, 3, 4, 5}no: fails the vertical line testStep-by-step explanation:
The domain is the list of x-values of the points on the graph. It is ...
{-5, -4, 2, 5}
The range is the list of y-values of the points on the graph. It is ...
{-6, 1, 3, 4, 5}
__
Two of the points, (2, 1) and (2, 4), have the same x-value. When a single input has multiple outputs, the relation is not a function.
If you were to draw a vertical line at x=2, it would intersect the relation in more than one place. Thus, we say the relation "fails the vertical line test." A vertical line will never intersect the graph of a function in more than one place.