Answer:
David is 55 years old
Morgan is 23 years old
__________________________________________________________
Step-by-step explanation:
Let the age of David = x years
Let the age of Morgan = y years
We are Given:
The sum of David and Morgan's age is 78
7 years ago, David's age was 3 times Morgan's age
__________________________________________________________
Making the equations:
from the first statement, the sum of their ages is 78
So, we can write it as:
x + y = 78
from the second statement,7 years ago, David's age was 3 times Morgan's age
David's age 7 years ago = (x - 7)
Morgan's age 7 years ago = (y-7)
So, we can write the equation as:
(x - 7) = 3(y - 7)
which can be simplified to:
x = 3y - 14
__________________________________________________________
Solving the equations:
We have the 2 equations:
x + y = 78x = 3y - 14from the first equation, we can say that:
x = 78 - y
Using this value in the second equation:
x = 3y - 14
78 - y= 3y - 14 [since x = 78 - y]
78 + 14 = 4y
4y = 92
y = 23
Using this value in the first equation:
x + y = 78
x + 23 = 78 [since y = 23]
x = 55
__________________________________________________________
The Age of David and Morgan:
Since we assigned x to the age of David:
David is 55 years old
We assigned y to the age of Morgan. So,
Morgan is 23 years old
1.2x-2.4=84
Pls show work...
Answer:
x=72
Step-by-step explanation:
1.2x−2.4=84
Step 1: Add 2.4 to both sides.
1.2x−2.4+2.4=84+2.4
1.2x=86.4
Step 2: Divide both sides by 1.2.
x=72
Answer: x=72
Step-by-step explanation:
how do u do math? on my mom
Answer:
well... oop my FIRE ALARM WENT OFF gtg
Step-by-step explanation:
Answer:
1+1=2
Step-by-step explanation:
A sock weighs 1 oz. A shoe weighs 16 oz. how much heavier is the shoe ?
If f(x) = x, find the simplified form for the following inputs:
b) f(x) + 2
c) 1/2f(x)
d) 2( f (x) ) +3
Answer:
Step-by-step explanation:
Is there another part to the question? Maybe the original function?
Help stat please.Brainlist for the best ansmwer
I need help please.
Answer:
e
Step-by-step explanation:
A 6000-seat theater has tickets for sale at $26 and $40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $185,400?
Answer:
x = number of tickets sold for $26 = 3900 tickets
y = number of tickets sold for $40 = 2100 tickets
Step-by-step explanation:
A 6000-seat theater has tickets for sale at $26 and $40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $185,400?
Let
x = number of tickets sold for $26
y = number of tickets sold for $40
x + y = 6000
x = 6000 - y
$26 × x + $40 × y= $185, 400
26x + 40y = 185400
Substitute
26(6000 - y) + 40y = 185400
156000 - 26y + 40y = 185400
Collect like terms
- 26y + 40y = 185400 - 156000
14y = 29400
y = 29400/14
y = 2100 tickets
x = 6000 - y
x = 6000 - 2100
x = 3900 tickets
Hence
x = number of tickets sold for $26 = 3900 tickets
y = number of tickets sold for $40 = 2100 tickets
Please help if u get these all right i will mark brainliest
Pls help with part b
Answer:
any number to the power of 0
Step-by-step explanation:
Any number to the power of 0 will be equal to 1.
[tex](1)^{0} (109)^{0} (-16.9)^{0\\}[/tex]
Any of those would work.
NEED HELP 45 POINTS PLZ
Is there enough information to prove that the triangles are congruent?
If yes, provide the correct Triangle Congruence Postulate or Theorem and a congruence statement.
If no, justify your answer.
Answer:
I have given the answer in the chat box as i was not able to post officialy
Step-by-step explanation:
Write the LCD (Least Common Denominator I think) for each pair of fractions.
1/3, 1/5 | 2/7, 1/4 | 3/4, 3/5 | 2/9, 5/12 | 1/3, 3/7 | 1/6, 4/9
Please help. ASAP
Answer:
answer: 15, 28, 20, 36, 21, 18
complete the statements,extra points!!! please don't answer if you don't know
Answer:
1. 0.08703 killograms
2. Decameters
3. Liters
Step-by-step explanation:
convert.
Find the area of this
Answer:
616
Step-by-step explanation:
Please help me it due today at 11:59pm please help me will mark the brainiest please
Answer:
y = 69
Step-by-step explanation:
start with the distributive property:
5/9 * y and 5/9 * 3
and now you have: 5/9y + 15/9 = 40
and we have to isolate y so subtract 15/9 from both sides:
5/9y + 15/9 = 40
- 15/9 -15/9
and now you have 5/9y = 345/9
and now divide both sides by 5/9 so: 5/9y divided by 5/9 = y
and 345/9 divided by 5/9 = 345/5 and lets simplify....
y= 69
hope this helps luv
!! please help timed
If the value of "y" varies directly with "x"
and y = -8 when x = 20, find "y" if x = -4.
Enter the number that belongs in the green box.
Reduce to simplest form.
Answer:
Step-by-step explanation:
Y= -2/5 x -4/1 so the answer is Y=8/5
Find the equation of a line that passes through the points (-1,-3) and (1,-5).
Leave your answer in the form y = mx + c
Answer:
Y= -1x - 4
Step-by-step explanation:
I’m terrible at percents so ...... if anybody can help that would be nice :))
Answer:
There are 625 trees in the park.
Step-by-step explanation:
Assume that there are x trees in the park
∵ The number of trees in the park = x
∵ 27% of them are oaks
∵ 16% are pins
∵ 33% of them are banyans
∵ The remaining are willows
→ The percentage of the total number of trees is 100%
∴ The percent of the remaining = 100% - (27 + 16 + 33)%
∴ The percent of the remaining = 100% - 76%
∴ The percent of the remaining = 24%
∵ The number of willows trees = 150
∴ 24% of x = 150
∴ 24% × x = 150
→ Change the percent to a decimal by divide it by 100
∵ 24% = [tex]\frac{24}{100}[/tex] = 0.24
∴ 0.24 × x = 150
∴ 0.24x = 150
→ Divide both sides by 0.24
∴ x = 625
∴ There are 625 trees at the park.
Each axis on a graph should be:
labeled
equal
numbered
vertical
Answer:
labeled is the answer your looking for
82 added to a number is the same as 36
Answer:
-46
Step-by-step explanation:
I just need a walkthrough or step by step process on how to get it so i can understand :)
Answer:
The answer and explanation is located in the screenshot.
Step-by-step explanation:
Hope this helped! And have a wonderful day!
9. The temperature outside Jeff's house is 14 °C at midday.
By midnight, the temperature has fallen by 27 °C.
What is the temperature at midnight?
Section 1 – Number and Proportion
Answer:
-13ºC
Step-by-step explanation:
The temperature has fallen, so you subtract.
14ºC-27ºC=-13ºC12 time 10 times 10 times 10
Answer:i used a calculator 12000
Step-by-step explanation:12 × 10 × 10 × 10 = 12000
and have a nice Day :)
Answer:
12000
Step-by-step explanation:
If you multiply 12 by 10 its 120, if you add 2 more 0's to the end of the number, it will be 12000, so, basically, any time you multiply a number by 10, you add a 0 to the end of the number your multiplying 10 by, hope this helps:)
the number if baskets nikki can make varies directy with the time she spends making the baskets she can make 4 baskets in 1/2 an hour how many baskets can nikki make in 5 hours
Answer:
40 baskets
Step-by-step explanation:
Find out how many baskets she can make in an hour. Since she makes 4 in 1/2 an hour, multiply 4 by 2 to find out how much she makes in an hour. She makes 8 baskets an hour, so multiply 8 by 5. 8 x 5 = 40.
Answer:
40 Baskets
Step-by-step explanation:
4 x half an hour = 8 baskets an hour. 8 x 5 = 40
A company has a manufacturing plant that is producing quality jackets. They find that in order to produce 150 jackets in a month, it will cost $5500. Also , to produce 370 jackets in a month , it will cost $8580 . Find an equation in the form y = mx + b , where is the number of jackets produced in a month and y is the monthly cost to do so.
Answer:
[tex]y = 14x + 3400[/tex]
Step-by-step explanation:
Represent
- number of jackets with x
- costs of jackets with y
So, we have:
[tex](x_1,y_1) = (150,5500)[/tex]
[tex](x_2,y_2) = (370,8580)[/tex]
Required
Write an equation in form of y = mx + b
First, we need to determine the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{8580 - 5500}{370 - 150}[/tex]
[tex]m = \frac{3080}{220}[/tex]
[tex]m = 14\\[/tex]
The equation is calculated using:
[tex]y-y_1 = m(x - x_1)[/tex]
Where
[tex]m = 14\\[/tex]
[tex](x_1,y_1) = (150,5500)[/tex]
So, we have:
[tex]y - 5500 = 14(x - 150)[/tex]
[tex]y - 5500 = 14x - 2100[/tex]
Make y the subject
[tex]y = 14x - 2100 + 5500[/tex]
[tex]y = 14x + 3400[/tex]
At the city museum child admission is $5.40 and adult admission is $9.40. On Wednesday, 168 tickets were sold for a total sales of $1199.20. How many adult tickets were sold that day?
Given:
Selling price of child ticket = $5.40
Selling price of adult ticket = $9.40
Total tickets = 168
Total sales = $1199.20
To find:
The number of adult tickets sold.
Solution:
Let x be the number of child tickets and y be the number of adult tickets.
Total tickets : [tex]x+y=168[/tex] ...(i)
Total sales : [tex]5.40x+9.40y=1199.20[/tex] ...(ii)
From equation (i), we get
[tex]x=168-y[/tex]
Put this value in (ii).
[tex]5.40(168-y)+9.40y=1199.20[/tex]
[tex]907.2-5.40y+9.40y=1199.20[/tex]
[tex]4y=1199.20-907.2[/tex]
[tex]4y=292[/tex]
Divide both sides by 4.
[tex]y=\dfrac{292}{4}[/tex]
[tex]y=73[/tex]
Therefore, 73 adult tickets were sold that day.
Which set of side lengths cannot make a triangle?
1.) 3 cm, 3 cm, 6 cm
2.) 3 cm, 4 cm, 5 cm
3.) 3 cm, 5 cm, 7 cm
4.) 3 cm, 6 cm, 6 cm
Answer:
Option "A" is correct answer to the following question.
Step-by-step explanation:
We know that, in triangle sum of two smaller lines ≥ largest side
So,
3 cm + 3 cm < 6 cm [Not correct to the given situation.]
3 cm + 4 cm > 5 cm [Correct]
3 cm + 5 cm > 7 cm [Correct]
3 cm + 6 cm > 6 cm [Correct]
Answer:
A The one that says 3 cm, 3 cm, 6 cm.
Step-by-step explanation:
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* Math
11
3.
Let x and y be positive integers and x >y.
11
Complete Question:
Let x and y be positive integers and x be greater than y.
11x/11y = ?
Answer:
11x/11y = x/y
Step-by-step explanation:
Given
x > y
Required
11x/11y
From the question, we understand that x is greater than y (i.e. x > y)
Also, we'll assume that y ≠ 0, in other not to result in an undefined result.
So,
11x/11y
Divide the numerator and denominator by 11
(11x ÷ 11)/(11y ÷ 11)
The result of the division is:
(x)/(y)
x/y
Hence,
11x/11y = x/y for x > y and y ≠ 0
I’ll mark you brainliest .
It’s either B,C,or D
Answer:
I believe it may be C or D.
C and D are the exact same, but I don't think it is B, seeing as it is an absolute value function. If I'm wrong, please forgive me.
Step-by-step explanation:
Can someone solve this? also, show work please. We need to find out what x is.
-6x + 13 = -5(7 +6x)
Answer:[tex] \huge{ \boxed{ \bold{ \tt{ x = - 2}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 6x + 13 = - 5(7 + 6x) }[/tex]
Distribute -5 through the parentheses
[tex]\longrightarrow{ \sf{ - 6x + 13 = - 5 \times 7 + ( - 5 )\times 6x}}[/tex]
[tex]\longrightarrow{ \sf{ - 6x + 13 = - 35 + ( - 30x)}}[/tex]
[tex] \text{Remember} : \sf{( + ) \times ( - ) = ( - )}[/tex]
[tex]\longrightarrow{ \sf{ - 6x + 13 = - 35 - 30x}}[/tex]
Move 30x to left hand side and change it's sign
[tex] \longrightarrow{ \sf{ - 6x + 30x + 13 = - 35}}[/tex]
Move 13 to R.H.S ( Right Hand Side ) and change it's sign[tex] \longrightarrow{ \sf{ - 6x + 30x= - 35 - 13}}[/tex]
Combine like terms
[tex] \longrightarrow{ \sf{24x = - 35 - 13}}[/tex]
The negative integers are always added but posses the negative ( - ) sign.[tex] \longrightarrow{ \sf{24x = - 48 }}[/tex]
Divide both sides by 24
[tex] \longrightarrow{ \sf{ \frac{24x}{24} = \frac{ - 48}{24}}} [/tex]
Dividing a negative integer by a positive integers gives a negative integer.
[tex]\longrightarrow{\sf{x = -2 }}[/tex]
-----------------------------------------------------
Verification:L.H.S = -6x + 13
Plug the value of x and simplify
[tex] \longrightarrow{ \sf{ - 6 \times ( - 2) + 13}}[/tex]
Multiplying negative integers by a negative integer gives a positive integer.
[tex] \longrightarrow{ \sf{ 12 + 13}}[/tex]
Add the numbers : 12 and 13
[tex] \longrightarrow{ \sf{25}}[/tex]
R.H.S = -5 ( 7 + 6x )
plug the value of x and simplify
[tex] \longrightarrow{ \sf{ - 5(7 + 6 \times ( - 2)}})[/tex]
Multiplying a positive integer by any negative integer gives a negative integer.
[tex] \longrightarrow{ \sf - 5(7 + ( - 12)}[/tex]
[tex]\longrightarrow{\sf{-5(7 - 12)}}[/tex]
Subtract 12 from 7
[tex] \longrightarrow{ \sf{ - 5 \times ( - 5)}}[/tex]
[tex]\longrightarrow{\sf{25}}[/tex]
L.H.S = R.H.S
The value of x is -2 .
Hope I helped!
Best regards!
~TheAnimeGirl
what is 8 divided by 3/5
Answer:
13 1/3. have a great day!! :D
Step-by-step explanation:
To solve the equation, you first need to multiply 8 by 3/5's reciprocal, which is 5/3. Reciprocal basically means to flip the fraction. By multiplying 8 by 5/3 you'll get 40/3, which you can simplify to 13 1/3.