Josh, Ben and Rick have 70 marbles altogether. The ratio of the number marbles Josh has to the number of marbles Rick has is 1: 2. However, Ben has 15 marbles fewer than Rick. How many marbles does Ben have?
Answer:
Ben has 19 marbles
Step-by-step explanation:
First taking that josh and ricks ratio is 1:2, this would set up in an equation as [tex]2j = r[/tex] and with ben having 15 less than rick, his formula would be [tex]r = b + 15[/tex] as well as the total of all the boys marbles together being this [tex]j+r+b=70[/tex]
Now we put all of these equations into a set to answer them.
[tex]2j = r\\ r = b + 15\\j+r+b=70[/tex]
First we solve for j
[tex]2j = r\\ j=\frac{1}{2} r[/tex]
Then substitute j
[tex]j+r+b=70\\ \frac{1}{2}r+r+b=70\\ 2b+3r=140[/tex]
Then simplify and multiply by 2 to even out
[tex]r = b + 15\\ -b+r=15\\2b+3r=140[/tex]
Now eliminate the b variable and combine equations
[tex]2b+3r=140\\-2b+2r=30[/tex]
[tex]5r=170[/tex]
Now divide and solve for r
[tex]5r=170\\r=34[/tex]
Now we know Rick has 34 marbles of the 70 marbles, so we can substitute his number back into the original equation
[tex]-b+34=15\\b=19[/tex]
Now we know Ben has 19 marbles of the remaining 36, and can substitute his number as well
[tex]j=\frac{1}{2}(34)\\j=17[/tex]
And now we know how much everyone has, to check we rewrite all the equations with their respective numbers
[tex]11+34+19=70\\2(17)=34\\34=19+15[/tex]
[tex]70=70\\34=34\\34=34[/tex]
Which means the ordered pairing of (b, j, r) is (19, 17, 34)
pls help asap! i will mark brainliest!
Answer:
3
Step-by-step explanation:
2 x 7= 14 - 17= 3
Slove system of equation.
2x - 6y = 8
-3x + 9y = 12
Someone plz help me :(
Answer:
A
Step-by-step explanation:
the ratio shows that for every two songs beth's mom has, beth has one more.
*3 is larger than 2 by 1
meaning, if her mom has 6 songs, then she will have 7
if Beth has 12 songs, her mom would have one less, 11
Help me pls i need help
Answer:
I'm pretty sure it is LINEAR.
I may be wrong
Step-by-step explanation:
BRAINLIEST?
Answer:
linear
Step-by-step explanation:
the inputs are not the same.
im not exactly sure, but im taking this lesson and thats what i learned :)
make y the subject of the formula
x=13(t-4y) over y
Answer:
make y the subject of the formula
x=13(t-4y)
Step-by-step explanation:
y=mx+c
⟹(y)−c=(mx+c)−c
⟹y−c=mx+(+c−c)
⟹y−c=mx+0
⟹y−c=mx
⟹mx=y−c
⟹mx×(1m)=(y−c)×(1m)
⟹x×(mm)=1m(y−c)
⟹x×1=1m(y−c)
⟹x=1m(y−c)
The subject of the formula for y is y = 13t / x(1 + 52/x).
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We have been given the equation as:
x = 13(t - 4y) / y
We have to make y the subject of the formula
x = 13(t - 4y) / y
Cross multiplication to get,
y = 13(t - 4y) / x
y = (13t - 52y) / x
y = 13t / x - 52y / x
Now group the y terms together and we get
y + 52y / x = 13t / x
The factor out the y to get
y(1 + 52/x) = 13t / x
y = 13t / x(1 + 52/x)
Therefore, the subject of the formula for y is y = 13t / x(1 + 52/x).
Learn more about the equation here:
brainly.com/question/13947055
#SPJ2
Rewrite the proportion 7:21 = 3:9 as a proportion using fractions.
Answer:
7/21=3/9
Step-by-step explanation:
7/21=3/9=1/3 - Ratios are basically the same as fractions
Answer:
[tex] \\ 7 \ratio21 = 3 \ratio9[/tex]
[tex] \\ \frac{7}{21} = \frac{3}{9} [/tex]
Solve for x
5-3x - 1 = 25
Answer: Solve for x
x = -7
Answer:
= − 7
Step-by-step explanation:
5 - 3x -1 = 25
4 - 3x = 25
-3x + 4 = 25
-3x + 4 - 4 = 25-4
some one please help
Answer:
i can't see the photo
Step-by-step explanation:
pleas send it again
Answer:
Step-by-step explanation:
f(x) = 3-x/5
Explanation:
The inverse of a function completely swaps the x and y values. One way to find the inverse of a function is to switch the "x" and "y" in an equation
y=3x -5
turns into
x = 3y+5
Then solve the equation for y
x=3 y- 5
x+5 = 3y
the divide all by three
1/3x + 5/3 =y
f ( x ) − 1 = 3/1 x + 5/3
100 POINTS IF U GET THIS RIGHT!
Answer:
The y-intercept is 4.
Step-by-step explanation:
Our equation: y = mx + b
m = slope
b = y-intercept
=> Now, let's compare:
=> y = mx + b = y = -7x + 4
We can tell that b = 4
Hoped this helped.
[tex]y =-7x +4 \\\\\text{ The above equation is in a form of y=mx+b, where b is the y-intercept}\\\\\\\text{Hence the y-intercept of the given equation is}~ 4.[/tex]
6. (4. 1) and (1, 4) are on the line
Answer: This is used by
Step-by-step explanation:
Why is math hard????
Answer:
It doesnt have to be, you are making it. It's really just addition multiplication divison and subtraction in different ways
Step-by-step explanation:
Answer:
BECAUES IT IS
Step-by-step explanation:
I don´t know
Urgent! Someone please answer! Will give Brainliest!
4 cm
x cm
The area of rectangle ABCD is 28 cm2
B
B
a) What is the length of side AB in terms of x?
6 cm
length of AB =
(1)
x cm
D
с
b) If the area of rectangle ABCD is 28 cm,
we can show that x2 + ax = b where
a and b are integer values.
Work out the values of a and b.
b
a =
(1)
b=
(1)
Total marks: 3
Step-by-step explanation:
it is the most easiest answer we get 566474 I think this will help you
please help and show work
Answer:
Just do scan and solve by brainly really helpful ngl
Step-by-step explanation:
2(1×10^2) CAN ANYONE PLEASE PUT THIS IN SCIENTIFIC NOTATION!?
Answer: 2 x 10^2 in scientific notation The answer would be 200
Step-by-step explanation: Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
slope and y intercept for 2y-8=6x
Answer:
slope = 3
y intercept = 4
Step-by-step explanation:
Rearrange the equation so y is the subject.
1. Add 8 to both sides
2y = 6x + 8
2. Divide both sides by 2
y = 3x + 4
Voilà, you got your answer in the line format, y = mx + c, where m is the slope and c is the y intercept.
Carley beat the school record for the 400 meter run by 1.3 seconds. If she ran in 55.7 seconds, what was the record?
Answer:
57 seconds
Step-by-step explanation:
55.7 + 1.3 = 57
Hope this helps!
Answer:
57 seconds
Step-by-step explanation:
Since she beat the record by 1.3 seconds, it means the previous record was 55.7 + 1.3. Therefore, the record was 57 seconds.
Using substitution, which value of x makes this equation true?
3+x = 10
A. 13
B. 7
C. -7
D. -13
Answer:
The answer is B. 7
Step-by-step explanation:
3 + x = 10
3 + 7 = 10
If Don drives 60 miles per hour, can he make it to the beach (200 miles away) in 3 1/2 hours?
Answer:
Yes
Step-by-step explanation:
If Don drives at 60 miles per hour and drives for 3.5 hours, then he can drive:
60 * 3.5 = 210 miles
Because 210 miles is more than 200 miles, the answer is yes, he can make it to the beach in that time.
Sophie liked 35 of the 50 different flavors of Jelly Beans. Enter the percent of the Jelly Bean flavors she did not like.
Please help and no links!!!!
Answer: 18
Step-by-step explanation:
3w-4z=8
2w+3z= -6
What is w and z for these two equations?
pls help!!!!
Sandra uses 6.39 ounces of beans in a recipe. If she triples the recipe, how many ounces of beans will Sandra need?
Answer:
19.17 ounces
Step-by-step explanation:
If she uses 6.39 ounces for 1 recipe and she wants to "triple" the recipe we then know that triple also means 3 times.
Due to that fact we now know what our equation is:
6.39 x 3 which equals 19.17
I hope this helps have great day :)
Answer: 19.17
Step-by-step explanation: 6.39 x 3 = 19.17
Simplify 6^-3/6^5
answers:
• 6^8
• 6^-2
• 1/6^8
• 1/6^2
Evaluate the equation. d - 4.12 = 12.8
A) d = 8.58
B) d = 8.68
C) d = 16.92
D) d = 17.02
Answer: i think its D
Step-by-step explanation:
Divide $80 among three people so that the second will have twice as much as
the first, and the third will have $5 less than the second. Using an algebraic
equation, find the amount that each will get.
Answer: 19,38, and 33.
Step-by-step explanation:
80=2x+x+2x-5=5x=95=x=19
Help me please!! :) :)
The side of the Australia flag are in a ratio of 1.2.if the flag is 5 feet long what is its height?
Giovanni can read 100 words per minute. If there are approximately 400 words on a page, about how many pages can he read in 2 hours?
Answer:
Step-by-step explanation: she can read 15 pages an hour but she read for 2 hours so she read 30 pages
Describe the steps you used to solve the equation and find the amount of Carrie’s allowance.
Linear equation:
1/4a+ 1/3 a + 8 = 22