carlon plans to evaporate a number of gallons of water from 90 gallons of a 15% salt solution to make a 25% salt solution. which equation can he use to find x, the number of gallons that should be evaporated? original (gallons) removed (gallons) new (gallons) amount of salt 13.5 0 amount of solution 90 x startfraction 13.5 over 90 minus x endfraction
The value of X for carlon evaporate is 36.
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
A linear equation is an algebraic equation of the form y=mx+b involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.
Given that
Total amount of solution = 90
total amount of salt = 15 % of 90
= [tex]90 \times \frac{15}{100}[/tex]
= 13.5
Now removed X from the solution
Then, remaining solution is 90 - X
Percentage of salt in the remaining solution [tex]= \frac{salt}{remaining solution}[/tex]
Given that , % of salt in the remaining solution is equal to 25% then, Percentage of salt in the remaining solution
⇒ [tex]\frac{salt}{remaining solution}[/tex] = 25%
⇒ [tex]\frac{13.5}{90 - X} = \frac{25}{100}[/tex]
⇒1350 = 2250 - 25 x
⇒ 25 x = 2250 - 1350
⇒ 25 x = 900
⇒ x = [tex]\frac{900}{25}[/tex]
⇒ x =36
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The scale on a map is 0.25 inches : 1¾ miles. If two cities are 1.8 inches apart on the map, what is the real life distance between them?
Answer:
12.6 miles I think. I would wait for another answer to be possitive.
Find the area of the figure. Write the answer is radical form
[tex]Answer:\ S=96\sqrt[4]{x^9}[/tex]
Step-by-step explanation:
[tex]\displaystyle\\(4x)^\frac{3}{2}=\\\\ (2^2x)^\frac{3}{2} =\\\(2^2)^\frac{3}{2} x^\frac{3}{2} =\\\\2^\frac{2*3}{2} x^\frac{3}{2} \\\\2^3x^\frac{3}{2}=\\\\8x^\frac{3}{2}[/tex]
Thus,
[tex]S=8x^\frac{3}{2} *12x^\frac{3}{4}\\\\ S=8*12x^{\frac{3}{2} +\frac{3}{4}} \\\\S=96x^\frac{3*2+3}{4} \\\\S=96x^\frac{6+3}{4} \\\\S=96x^\frac{9}{4} \\\\S=96\sqrt[4]{x^9}[/tex]
If you don't know it, don't answer it.
Describe the vertical line test.
A: If a vertical line can be drawn anywhere in the graph the line will pass through the graph in more than one spot.
B: If a vertical line can be drawn anywhere in the graph the line will pass through the graph in only one spot.
C: If the graph is a vertical line, it is a function.
D: If the graph is not a vertical line, it is a function.
Answer:
B
Step-by-step explanation:
Vertical line test = if u draw a vertical line in the graph and it passes through the graph lines once. then it passes. The option that represents this is B.
Hope this helps plz hit the crown :D
Answer:
It's definitely B.
Step-by-step explanation:
What is the value of the following expressions?
Answer:
9 is the answer.
Step-by-step explanation:
( -89)/(-9)
When (-) I'd divided by (-) it changes into (+)
Soo, the answer is 9
Kellan’s lemonade recipe uses 4 scoops of lemonade powder for every 2.5 cups of water. Kellan uses 10 scoops of lemonade powder to make a batch of lemonade. How much water should he use?
Answer:
6.25 cups of water
Step-by-step explanation:
So I first write out the rates: 4:2.5 and also 10:?
So let's find out how the scoops changed, as in how did you get 4 to become 10 so you can do the same thing to 2.5 and get ?.
To go from 4 to 10 you MULTIPLY/DIVIDE. DON'T ADD OR SUBTRACT. 10 divided by 4 (to see what you multiplied by) is 2.5.
So we multiplied 4 by 2.5 to get 10. So if we multiply 2.5 by 2.5 we get 6.25.
So 4:2.5 = 10:6.25
?=6.25
Hope this helps!
Hello I hope you are doing well . i have a question lease could you answer it with the explication thanks:
thanks
Answer:
The equations are;
4(2x + 5) = 3(2x + 8)
x = 2
Perimeter of each shape is 36
Step-by-step explanation:
Mathematically;
The perimeter of a square is 4L
while the perimeter of an equilateral triangle is 3L
where L represents the lengths of the sides
Mathematically, from what we have in the question, since the perimeter are equal;
4(2x + 5) = 3(2x + 8)
8x + 20 = 6x + 24
8x-6x = 24-20
2x = 4
x = 4/2
x = 2
The side of the square will measure;
2(2) + 5 = 9
Its perimeter is 4(9) = 36
The side of the triangle will measure
2(2) + 8 = 12
Its perimeter will be 3(12) = 36
A machine produces 264 bolts in 42 minutes. At the same rate, how many minutes would it take to produce 308 bolts?
minutes
Answer:
49.6 minutes to create 308 bolts
Step-by-step explanation:
hope this helps :)
Find the value of x plz.
The two latches make known the fact that this is an isosceles triangle. Here, x is the base angle. There are two base angles in isosceles triangles. Base angles have the same measure. This explains the reason for 2x in the equation below.
Here is the set up:
x + x + 32 = 180
2x + 32 = 180
2x = 180 - 32
2x = 148
x = 148/2
x = 74
The value of x is 74 degrees.
313
Which of these is a unit of measure for the mass of a bag of apples?
А
kilogram
B
kilometer
с
cubic inches
D
square inches
Answer:
A
Step-by-step explanation:
I hope this is correct and have a great day
Victor is attending a local fair and wants to go on at least 12 rides. The spinning rides cost $2 each, and the roller coasters cost $3 each. Victor has $30. Write a system of inequalities to determine if the combination of 6 spinning rides and 7 roller coasters is viable.
A. x+y≥12
2x+3y≤30
The combination of 6 spinning rides and 7 roller coasters is viable.
x+y≥12
2x+3y≥30
B. The combination of 6 spinning rides and 7 roller coasters is viable.
x+y≥12
2x+3y≤30
C. The combination of 6 spinning rides and 7 roller coasters is not viable.
x+y≥12
2x+3y≥30
D. The combination of 6 spinning rides and 7 roller coasters is not viable.
Answer:
B?
Step-by-step explanation:
Write a unit rate for the ratio.
45 miles on 3 gallons of gasoline
a 20 miles per gallon
b 15 miles per gallon
C 35 miles per gallon
d
45 miles per gallon
(-4/7) ÷(16/49)
Find the answer
Step-by-step explanation:
cross product. Ise the butrerfly or cross and bones method. Multiply -4 and 49. Put that in the numerator. Then multiply 7 and 16. Put that in the denominator. Then reduce if u can.
Which equation represents a line with a slope of 4 and goes through (5, 2)?
Answer:
y=4x-18
Step-by-step explanation:
y-2=4(x-5)
y-2=4x-20
y=4x-18
Multiple Choice.
What is the solution to the square root of -75 to the nearest integer?
A 9
bB. 8
C.-8
D. -9
MAXIMUM POINTS
Answer:
I belive it is 'A' 9
Step-by-step explanation:
because the square root is 8.66025404 so that rounded to the nearest integer would be 9
Donna is planning to take a trip to Spain that will cost $2,927. She has already saved $1,852. To earn the rest of the money, Donna will mow lawns for $25 per lawn. Which equation can be used to find x, the number of lawns Donna will need to mow in order to have enough money for her trip? F 1,852x + 25 = 2,927 G 25(x + 1,852) = 2,927 H x(1,852 + 25) = 2,927 J 25x + 1,852 = 2,927
Answer:
the answer would be the one with 25x+1,852=2,972
Step-by-step explanation:
please mark brainliest
Answer:
J
Step-by-step explanation:
Theres no explanation. I just did it in my head and none of the other answers made sense so its gotta be J :')
max picks two different cards without replacement from a standard $52$-card deck. what is the probability that the cards are of different suits?
The probability that cards are from different suits is [tex]\frac{39}{51}[/tex]
Probability of an event E represented by P(E) can be defined as (The number of favorable outcomes )/(Total number of outcomes).
There are 4 suits hearts, diamonds, club and spade in a standard deck of 52 cards.
Each of them has 13 cards each .
So when we pick first card from a single suit
we can pick it in 13 ways , now 12 cards are left.
We can pick the 2nd card from the same suit in 12 different ways .
So to pick 2 cards from a single suit we have 13x12 ways.
to pick 2 card from 4 suits = 4x13x12=624 ways
Total ways of choosing 2 cards from the pack of 52 cards is 52 X 51 =2652
probability that the cards are of same suits=[tex]\frac{624}{2652} =\frac{12}{51}[/tex]
probability that the cards are of different suits=[tex]1-\frac{12}{51} =\frac{39}{51}[/tex]
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what is equation of straight line shown below give answer in form y=mx+c where m and c are intervenes or fractions in simplest form
The equation of the straight line is y = 2x + 6.
What is an equation of a line?An equation of a line is a mathematical expression that describes the relationship between the x and y coordinates of the points on the line. There are several different forms of the equation of a line, but the most commonly used is the slope-intercept form:
y = mx + b
where m is the slope of the line and b is the y-intercept, which is the point where the line crosses the y-axis.
We have,
To find the equation of the straight line passing through the points (-3, 0) and (0, 6), we can use the slope-intercept form of a linear equation, which is:
y = mx + c
where m is the slope of the line and c is the y-intercept.
We can first find the slope of the line using the formula:
[tex]m = (y_2 - y_1) / (x_2 - x_1)[/tex]
[tex]where ~(x_1, y_1) = (-3, 0) ~and ~(x_2, y_2) = (0, 6):[/tex]
So,
m = (6 - 0) / (0 - (-3)) = 6/3 = 2
Now we can substitute the slope and one of the points into the slope-intercept form to find the y-intercept:
y = mx + c
0 = 2(-3) + c
0 = -6 + c
c = 6
Therefore,
The equation of the straight line is y = 2x + 6.
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what would y=x +5 look at on a graph
which choice is equivalent to the expression below? ^-64
Answer:
A. 8i
General Formulas and Concepts:
Algebra II
Imaginary Roots: √-1 = iStep-by-step explanation:
Step 1: Define
√-64
Step 2: Evaluate
Factor: √-1 · √64Simplify: i · 8Multiply: 8iA truck is 250 inches long. A car is 35% shorter than the truck. How long is the car
Answer:
87.5 inches long
Step-by-step explanation:
250 x 0.35 = 87.5
Answer:262.5
Step-by-step explanation:
all i did was just subtract 35% from 250 and it is 262.5in
hope this helps
Can anyone help me ill give brainliest
Answer:
Answer the first choice.
Step-by-step explanation:
Given
Points (-2,6) and (0,2)
y2 = 6
y1 = 2
x2 = - 2
x1 =0
m = (y2 - y1)/(x2 -x1)
Solution
m = (6 - 2)/(-2 - 0)
m = 4 / - 2 <<<< ===== Answer..
m = - 2
Remark
If you know what the formula to use is, it always helps to write down your givens. The solution is much easier.
Please can someone help me with this maths question ♀️:
Solve 5x+2=20
Answer:
x = 18/5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define equation
5x + 2 = 20
Step 2: Solve for x
Subtract 2 on both sides: 5x = 18Divide 5 on both sides: x = 18/5Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 5(18/5) + 2 = 20Multiply: 18 + 2 = 20Add: 20 = 20Here we see that 20 does indeed equal 20.
∴ x = 18/5 is a solution to the equation.
Helpppppppppppppppp ill mark you brainlist write in y=mx+b form
Answer:
I think: 0 = 3x + b or b = -3x + 0 or x = -b + 0/3 or 3 = -b + 0/x
Sorry if you get this wrong..
A 45 foot tall tree casts a shadow that is 58 feet long. Find the measure of the angle of elevation of the sun from the tip of the shadow to the top of the tree. Round your answer to the nearest degree.
Question options:
A 90
B 38
C 45
D 52
Answer:
d
Step-by-step explanation:
Joe bidenisapedophi and likes little children recomend u stay away from the freak
PLEASE HELP MEE EEEEEE
Answer:
7x - 8y
Step-by-step explanation:
Lol is this delta math
Find the value of (2x - 2y)/x when x = - 4 and y = - 3
Answer:
1/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
(2x - 2y)/x
x = -4
y = -3
Step 2: Evaluate
Substitute: (2(-4) - 2(-3))/-4Multiply: (-8 + 6)/-4Add: -2/-4Simplify: 1/2help me pleaseeee asap
Answer:
5089.4cm³ (rounded to 1 d.p.)
Step-by-step explanation:
Volume of cylinder = [tex]\pi[/tex] × r² × h
Volume of cylinder = [tex]\pi[/tex] × 9² × 20
= 1620[tex]\pi[/tex]
= 5089.4cm³ (rounded to 1 d.p.)
Mila invested $1,500 in an account in the year 2010, and the value has been growing exponentially at a constant rate. The value of the account reached $2, 100 in the year 2015. Determine the value of the account, to the nearest dollar in the year 2024.
Answer:
$3867.80
Step-by-step explanation:
f(x)=a(1+r)^{x}
f(x)=exponential growth function
a=initial amount
r=growth rate
{x}=number of time intervals
so let x=years
start amount is 1,500
1,500(1+r)^5=2100
(r+1)^5= 7 /5
((r+1)5) ^1 /5 =( 7 /5 ) ^1 /5
r=0.06961
which is rounded 7 percent growth rate
2024-2010=14 years
1,500(1+0.07)^{14}=
3867.801225
Now round cause it's money
$3867.80
is it right? and if so what would the equation be (i’m rlly bad at this stuff)
Answer:
you're right
Step-by-step explanation:
when a slope is equal to 0 that makes it undefined