peter, henry and john shared $345 between them. Peter received $45, henry received $75 and john received the rest.
a) find the ratio of peters share to henrys share to johns share
Answer:
Step-by-step explanation:
Let J = John's share ($)
P = Peter's share ($)
H = Henry's share ($)
1) H = P + 80
2) J/P = 6/3 = 2
3) P/H = 3/5
Substitute equation 1) into equation 3)
P/(P + 80) = 3/5 (multiply both sides by (P + 80)
P = (3/5)*(P + 80) (multiply both sides by 5)
5*P = 3*P + 240
2*P = 240
P = 240/2 = $120
Substitute P value into equation 2)
J/P = 2 or
J = 2*P = 2*$120 = $240
John received $240
Solve for x : x/14-4=3
Answer:
98
Step-by-step explanation:
3+4 then times 14
642 x 257 what is the answer to it?
Answer:
164994
Step-by-step explanation:
2x+y=-5 slope intercept form please
Answer:
y=-2x+5
Step-by-step explanation:
Answer: y= -2x - 5
Step-by-step explanation:
2x + y = - 5 To convert it into slope-intercept form subtract 2x from both sides
-2x -2x
y= -2x - 5
help urgent!!!!!!!!!!!
Answer:
negative 7
Step-by-step explanation:
Write the standard form of the equation y-3=-2/3(x+5)
Answer:
In linear standard form, 10x-15y=29
Step-by-step explanation:
The solution is y = ( -2/3 )x - 1/3
The standard form of the equation y-3=-2/3(x+5) is given by the equation A
where y = ( -2/3 )x - 1/3
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
So , the standard form of the equation of line is given by equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
Now ,
y - 3 = -2 / 3 ( x + 5 )
Multiply by 3 on both sides of the equation , we get
3y - 9 = -2 ( x + 5 )
On simplifying the equation , we get
3y - 9 = -2x - 10
Adding 9 on both sides of the equation , we get
3y = -2x - 1
Divide by 3 on both sides of the equation , we get
y = ( -2/3 )x - 1/3
The equation of line is y = ( -2/3 )x - 1/3 where the slope of the line is -2/3 and the y intercept of line is -1/3
Hence , The standard form of the equation y-3=-2/3(x+5) is given by the equation A where y = ( -2/3 )x - 1/3
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car A is traveling east at a steady speed of 60 miles per hour after 2 hours, it is 130 miles east of Johnstown. car B is traveling east on the same road. its distance east of Johnstown is represented by the graph.
plzzzzzzzzzzzzzzzzz help mee
Answer:
There's no numbers on this graph. it you can tell me where it is, ill gladly update my answer. Other than that, I know exactly what they are saying, I just need numbers.
Step-by-step explanation:
There are 35 students in the drama club. 2 out of every 5 students in the club are boys. How many students in the club are boys
Answer:
14 are boys
Step-by-step explanation:
5 goes into 35 7 times, so you would multiply 7 x 2 and get 14
Answer: 14 boys
Step-by-step explanation:
Factor the expression completely.
18 x − 21 18x−21
Answer:
3( 6x-7)
Step-by-step explanation:
18 x − 21
Factor a 3 out of each term
3*6x - 3*7
3( 6x-7)
Answer:
Factor 18x−21
18x−21
=3(6x−7)
Answer:
3(6x−7)
Step-by-step explanation:
PLEASE HELP. DUE IN 9 MINS ❤️
Three times the sum of a number and 16 is 8 less than four times that same number. Write an
solve an equation to find the number.
Answer:
3(x+16)= 4x-8
x=56
Step-by-step explanation:
3(x+16)= 4x-8
use distributive property
3x+48=4x-8
add 8 to each side
3x+56=4x
subtract 3x from 4x
56=x
check work
3(56+16)=4(56)-8
distributive property again
168+48= 224-8
add the left side
216=224-8
subtract the right side
216=216
tada
HELP QUICK ILL GIVE THE BRAINLIEST!
Find three consecutive even integers for which -4 times the sum of the first and third integers is 192. Write and solve an equation.
Answer:
192x-4= -768
Step-by-step explanation:
1. Identify the slope and y-intercept of the following equation: y = 9x - 3
Answer:
Step-by-step explanation:
Hey :)
Keep in mind:
y = mx + b
Where m = slope and b = y-intercept
Since we are told:
y = 9x - 3
This means m = 9 and b = -3
Therefore the slope is 9 and y-intercept is at (0,-3)
Suppose you want to accumulate $25,000 as down payment on a house and the best you can do is to put aside $200 a month. If you deposit this amount at the beginning of each month in an account that credits 0.75% interest monthly, how long will it take you to attain your goal?
Answer:
It will take 88.2 months to accumulate the amount
Step-by-step explanation:
Given;
Future value of money, FV = $25,000
investment per compound period, P = $200
interest rate, i = 0.75% x 12 = 9%
The number of monthly installments required to amount to FV is given by;
[tex]n = \frac{ln(FVi +cp)-ln(cp)}{ln(c+i)-ln(c)}\\\\ n = \frac{ln(25000*0.09 +200*12)-ln(200*12)}{ln(12+0.09)-ln(12)}\\\\n = \frac{8.4446 -7.7832}{2.4924-2.4849}\\\\n = 88.2 \ months[/tex]
Therefore, it will take 88.2 months to accumulate the amount.
The measures of the angles of a triangle are shown in the figure below. Solve for x.
PLEASE HELP
Answer:
Step-by-step explanation:
What should be the first step in ordering fraction with different denominators
Answer:
Find the smallest multiple (LCM) stands for of both numbers.
Rewrite the fractions as equivalent fractions with the LCM as the denominator.
Step-by-step explanation:
During a day a student spends 7 hours sleeping, ¹/4 of the day studying and of the time travelling. What fraction of the day is left for other things?
Answer:
45.83 over 1 (45.83/1)
Step-by-step explanation:
29.17% sleeping
25% studying
29.17 + 25 = 54.17
100 - 54.17 = 45.83%
convert decimal to a fraction:
45.83 = 45.83 over 1 (45.83/1)
Answer:
[tex]\frac{45.83}{1}[/tex]
Step-by-step explanation:
45.83/1 is your answer!!!!
can i get brainliest plzzz?
what is 234 divided by 21 plz help
Answer:
11 r 3
Step-by-step explanation:
I think this the answer not too. Hope this helps u.
x/20=2/8
x=__
pls explain the steps
Answer:
Today: Thursday, 15 October 2020
Hour: 04.09 WIB (in Indonesian)
____________________________
x/20 = 2/8
20 × 2 = 8 × x
40 = 8x
x = 40/8
x = 5
The figure shows a line graph and two shaded triangles that are similar:
Which statement about the slope of the line is true? (1 point)
It is 7 throughout the line.
It is fraction 1 over 7 throughout the line.
The slope from point O to point A is fraction 1 over 7 times the slope of the line from point A to point B.
The slope from point O to point A is seven times the slope of the line from point A to point B.
True:
3rd One
4th One
False: All of the others.
It's a straight line, so it is going to have straight qualities and straight inequalities throughout the graph.
Choose the true statement about the graph of x > -3.
closed circle on -3 and all numbers to the right shaded
open circle on -3 and all numbers to the right shaded
open circle on -3 and all numbers to the left shaded
Answer:
The second one
Step-by-step explanation:
The true statement about the graph of x > -3 is open circle on -3 and all numbers to the right shaded.
What is Number system?A number system is defined as a system of writing to express numbers.
A number line is a picture of a graduated straight line that serves as visual representation of the real numbers.
The given inequality is x>-3.
The value of x should be greater than -3.
The value -3 is not included.
In a number line the values are increased from left to right.
As x is greater than -3 which means the x values are increasing from left to right.
So the statement open circle on -3 and all numbers to the right shaded is true statement.
Hence, the true statement about the graph of x > -3 is open circle on -3 and all numbers to the right shaded.
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twice a number increased by five
Watch help video
William read 15 books in 6 months. What was his rate of reading in months per book?
Answer:
2.5 months
Step-by-step explanation:
hope is right and i help :)
What is 3x+ x equal to?
Answer:
4x
Step-by-step explanation:
please help me I will mark brainliest to first to help
About how many galllons of grape juice are shown in the picture?
Answer:
About 3.9 gallons
Step-by-step explanation:
There are about 14.8 liters of juice in the bottle, and converting it to gallons is about 3.9 gallons. Hope it helps!
Answer:
3.8 gallons of grape juice is shown
What is the slope of the line on the graph?
Enter your answer in the box.
Answer:
-2/6
Step-by-step explanation:
rise/run
or
how much you go up/how much you go to the side
the line is going to the left making it negative
A walli can be built by 6 men working for 8 hours per day in 5 days. How many days will it take 4 men to build if they work only 5 hours per day.
(show your working)
Answer:
A wall can be built by 6 men working 8*5*6=240 hours.
If 4 men works 5 hours a day, they work 20 hours/day.
It will take them 240 hours /20 hours = 12 days
20ab
if a = 4 and b = -2)
Solve the equation shown:
-5(x - 3) +7x = 35
x =
Answer:
10
Step-by-step explanation:
[tex]-5(x-3)+7x=35[/tex]
Distribute the 5
[tex]-5x+15+7x=35[/tex]
Combine like terms
[tex]2x+15=35[/tex]
Subtract 15 to isolate the variable
[tex]2x=20[/tex]
Divide by 2
[tex]x=10[/tex]
Answer:
x = 10
Step-by-step explanation:
Simplify by applying the distributed property: -5x - -15 + 7x = 35Simplify: -5x + 15 + 7x = 35Combine like terms: 2x + 15 = 35Subtract 15 from each side, so it now looks like this: 2x = 20Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x = 10I hope this helps!
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Answer:
:) /
Step-by-step explanation:,,
Answer:
The answer is B:subtract 1,add x,divide by 4
The other answer is D:add x,subtract 1,divide 4
Step-by-step explanation:
when you subtract 1 you isolate 3x so the equation looks like 3x=-x+3
the next step is to add x to both sides so you isolate the x to one side after doing that your equation should look like 4x=3,after this you divide both sides to the solution x=[tex]\frac{3}{4}[/tex]
The answer is also D because if you add x to both sides u isolate x to the left side so the equation will look like 1+4x=4 the next step will be to subtract one from each side and after doing this the equation should look like 4x=3 which should look familiar because its the same exact solution as B was so the answer to this choice is x=[tex]\frac{3}{4}[/tex]
With that evidence I can reasonably say that answer to the question is B,and D