How many gallons of 40% antifreeze should be mixed with 10 gallons of 80% antifreeze to obtain a 65% antifreeze mixture?
Equation:
alcohol + alcohol = alcohol
0.40x + 0.85*10 = 0.65(x+10)
----
40x + 85*10 = 65x + 65*10
20*10 = 15x
-----
x = (2/3)20
---
x = 13 1/3 gallons (amt. of 40% solution needed)
Simplify the expression using the properties of operations.
The simplified form of the expression (5.23x + 3.76) − (3.67x − 6.39) is
Answer:
Step-by-step explanation:
5.23x+3.76-3.67x+6.39
x(5.23-3.67) +(3.76+6.39)
1.56x + 10.15
Answer:
1.56x + 10.15
Step-by-step explanation:
(5.23x + 3.76) – (3.67x – 6.39)
(a + b) – (c – d) = a + b – c + d
Remove the parentheses and change the signs as needed:
5.23x + 3.76 – 3.67x + 6.39.
Group the like terms and simplify:
5.23x – 3.67x + 3.76 + 6.39
1.56x +10.15.
help me please in this problem
aye i have a code karen someone help please
go to this question on my page and then go to the first answer and there's a Karen in the comments
"1. what do you do to check weather a number is rational or irrational? in your explanation, use an example of irrational and a rational number. 2. how does finding the square root of a number compare to finding the cube root of a number? use the number 64 in your explanation. REALLY HIGH BRAINIRLY"
Answer:
1. If you're taking square roots, the number must be a perfect square to give a rational root.
64 = 8^2, so √64 = 8 is rational
Similarly, since
64 = 4^3, ∛64 = 4 is rational.
For small numbers, it's easy to check for possible roots, as there aren't that many candidates. In general, it's much more difficult.
2.
Step-by-step explanation:
what is the best partial quotient to 296dividedby4
Is that a perfect square
Answer:
im gonna go with yes
Step-by-step explanation:
Answer:
is what a perfect square?
Step-by-step explanation:
there is no pic attached
Can someone help me with this.. It is timed I WILL MARK YOU AS BRAINLIEST
Answer:
1) dividend
2) divisor
3) quotient
Find the value of r.
Answer:
r=0
Step-by-step explanation:
the line passes through the origin which means there is no y-intercept
1. Determine whether line KM and line ST are Parallel, Pers
Line KM has a slope of 5/8
Line ST has a slope of -8/5
Answer:
Since the slope of KM and ST are different, they are not parallel
Step-by-step explanation:
Slope of line KM = [tex]\frac{5}{8}[/tex]
Slope of ST = [tex]-\frac{8}{5}[/tex]
Determine whether the lines are perpendicular;
Solution:
We can use the slope of a line to determine whether they are perpendicular or parallel to one another.
Parallel lines do not meet one another
Perpendicular lines cross one another at an angle of 90°
Two lines are parallel if their slopes are the same;
Since the slope of KM and ST are different, they are not parallel
what number is represented by this number discs
Answer:
15
Step-by-step explanation:
What is the x-intercept of
3x – 4y = 242
Answer:
x=242/3
alternative form= 80 2/3, x=80.6
Step-by-step explanation:
3x-4y=242
substitute y = 0
3x-4x0=242
calculate the product
3x-0=242
remove 0
3x=242
divide both sides (by 3 in order to leave x by itself)
done
What is the fractional equivalent of repeating decimal 0.5
The fractional equivalent of the repeating decimal 0.5 is 5/9.
To convert the repeating decimal into a fraction, we can assign a variable, let's say x, to the repeating decimal. In this case, x = 0.5555...
Next, we multiply both sides of the equation by a power of 10 that will eliminate the repeating part.
10x = 5.5555...
Now,we subtract the original equation from the new equation to eliminate the repeating part:
10x - x = 5.5555... - 0.5555...
9x = 5
Simplifying the equation, we get:
x = 5/9
Therefore, the correct answer is A. 5/9.
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The complete question is
What is the fractional equivalent of the repeating decimal 0.5?A.5/9B.1/2C.5/99D.5/100
Jeff has recorded the cost of insurance premiums on his car for a particular insurance company.
Daniel pays $1,150 per year for insurance premiums on his car. Whose unit rate is lower in terms of cost per year, and what is the rate?
Answer:
For 1 year Jeff pays $1200.
For 6 years he pays 7200 / 6 = 1200 per year.
For 9 years he pays 10800 / 9 = 1200 per year.
Jeff's unit rate is $1,200 per year.
Daniel pays $1,150 per year.
150 is less than 1200, so the answer would be:
A. Daniel's unit rate is lower. It is $1,150 per year
PLEASE HELP ASAP
Simplify the expression.
Log(x^4) - log(x^3)
A. Log(x)
B. Log(x^4-x^3)
C. Log(x^4+x^3)
D. Log(x^7)
Answer:
Log(x)
Step-by-step explanation:
Solve for n: n/3 > 66 2/3
Answer: The 2 answers are inequality form and interval notation: n>200, and (200, ∞).
Step-by-step explanation: To solve for n, you’ll need to simplify the both sides of the inequality, and then isolating the variable.
round 0.918 to the nearest whole number
The two triangles are similar, What is the length of DE?
Answer:
If an angle of one triangle is congruent to the corresponding angle of another triangle and the lengths of the sides including these angles are in proportion, the triangles are similar. The corresponding sides of similar triangles are in proportion.
I hope this might help you
Mark it as brainliest answer and follow me
At the end of a snow storm, Riley saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. The depth of snow on Riley's lawn, in inches, can be modeled by the equation S = 13 – t, where t is the time, in hours, after the snow stopped falling. What is the x-intercept of the equation and what is its interpretation in the context of the problem?
Answer:
The x-intercept of the function is 13 which represents the number of hours until all the snow has melted.
Step-by-step explanation:
Since there were 0 inches of snow on the lawn after 13 hours, the x-intercept of 13 represents the number of hours after the storm stopped when all of the snow had melted away.
Have a good day :)
The x-intercept of the function is 13 which represents the number of hours until all the snow has melted.
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Since there were 0 inches of snow on the lawn after 13 hours, the x-intercept of 13 represents the number of hours after the storm stopped when all of the snow had melted away.
Hence, the x-intercept is 13.
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Last month you had 8 wins while playing fortnight. This month you had 5. What was your percent of change?
I need work shown.
Answer:
%62.5
Step-by-step explanation:
Im pretty sure you jsut divide 5/8 and then multiply by 100 to get a percent
5/8=.625
.625*100=62.5
%62.5
Please help me I don’t get this Write the equation of the line that is parallel to y=3x-2 and goes through the points (-4,2)
How many times does 35 go into 100 please give correct answer max points.
Answer:
100/35 = 2
35 goes into 100 2 times
Step-by-step explanation:
The length of a rectangle is four times its width.
If the perimeter of the rectangle is 90 yd, find its length and width.
Answer:
Length of rectangle = 36 yd and width of rectangle = 9 yd
Step-by-step explanation:
Let width of rectangle = w
Length of rectangle = 4w (four times the width)
Perimeter of rectangle = 90 yd
We need to find length and width of rectangle.
The formula used will be: [tex]Perimeter \ of \ rectangle=2(l+w)[/tex]
Where l is length and w is width
Putting values and finding length and width of rectangle
[tex]Perimeter \ of \ rectangle=2(l+w)\\90=2(4w+w)\\90=2(5w)\\90=10w\\w=\frac{90}{10}\\w=9[/tex]
So,width (w) of rectangle is w= 9 yd
Finding length of rectangle = 4w = 4*9 = 36 yd
So, length of rectangle = 36 yd and width of rectangle = 9 yd
Determine if the following argument always applies, sometimes applies, or never applies. Provide at least 2 examples in your explanation.
"The sum of a number and its opposite is always 1."
Answer:
Never applies
Step-by-step explanation:
Given
Argument: The sum of a number and its opposite is always 1
Assume a positive number x
The opposite of the number is negative x (i.e. -x)
The sum of both numbers is:
[tex]Sum = x + (-x)[/tex]
Open Bracket
[tex]Sum = x -x[/tex]
[tex]Sum = 0[/tex]
Now, take for instance.
[tex]Number = 5[/tex]
Opposite would be
[tex]Opposite = -5[/tex]
Their sum is:
[tex]Sum = 5 + (-5)[/tex]
[tex]Sum = 5 -5[/tex]
[tex]Sum = 0[/tex]
Another instance is:
[tex]Number = -8[/tex]
Opposite would be
[tex]Opposite = 8[/tex]
Their sum is;
[tex]Sum = -8 + 8[/tex]
[tex]Sum = -0[/tex]
Hence, the argument never applies because the sum is never 1
Write an equation of a line perpendicular to line CD in slope-intercept form that passes through the point (−1, 6).
Line CD is shown. C is at 1, 1. D is at 3, 5.
y = −0.5x − 5.5
y = −0.5x + 5.5
y = 2x + 13
y = 2x − 13
Answer:
its b
Step-by-step explanation:
i took the test
y = - 0.5x + 5.5 is the equation of a line perpendicular to line CD in slope-intercept form that passes through the point (−1, 6).
What is the slope-intercept form of a straight line?The slope-intercept form of a straight line is y = mx + c.
Here, x and y are coordinates, m is the slope and c is the y-intercept of the line.
Given, two points are C(1, 1) and (3, 5).
Therefore, equation of the line CD is:
[tex]\frac{x - x_{1} }{y-y_{1} }[/tex] = [tex]\frac{x_{1}-x_{2}}{y_{1}-y_{2}}[/tex]
⇒ [tex]\frac{x - 1}{y-1}[/tex] = [tex]\frac{1-3}{1-5}}[/tex]
⇒ [tex]\frac{x - 1}{y-1}[/tex] = [tex]\frac{-2}{-4}}[/tex]
⇒2(x - 1) = (y - 1)
⇒ y = 2x - 1
Let, line AB is perpendicular to the line CD and passes through the point (-1, 6).
Therefore, slope of the line CD is = 2.
We know, slope of CD × slope of AB = -1
Therefore, slope of AB = -1 / slope of CD = [tex]-\frac{1}{2}[/tex].
Now, line AB has a slope of [tex]-\frac{1}{2}[/tex] and passes through the point (-1, 6).
Therefore, equation of the line AB is:
(y - y₁) = m(x - x₁)
⇒ [y - (6)] = [tex]-\frac{1}{2}[/tex][x - (- 1)]
⇒ 2(y - 6) = (-x - 1)
⇒ 2y - 12 + x + 1 = 0
⇒ x + 2y = 11
⇒ y = - 0.5x + 5.5
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Completing the Square
Solve each equation by completing the square.
1) 7x2 + 14x - 65--9
Answer:
2(30-7x)
Step-by-step explanation:
=14+14x-65-9
=14+14x-79
=60+14x
=2(30-7x)
A rectangle is 2 meters long and 50 centimeters wide. What is its perimeter, in centimeters?
Answer:
250 centimeters
Step-by-step explanation:
2 meters into centimeters is 200 so 200+50=250
Answer:
100cm
Step-by-step explanation:
Simplify (6x ^ 2 + 11x - 3) + (2x ^ 2 - 17x - 4) . (1 point)
1 ) 8x ^ 2 + 6x - 1
2) 8x ^ 2 - 6x - 7
3 ) 8x ^ 2 + 6x + 1
4 ) 8x ^ 2 - 6x + 7
Answer:
2) 8x^2 -6x-7 hope this helps
if you ran 4 miles in 36 minutes how many minutes would you have to run in one mile?Explain
Answer:
9 minutes
Step-by-step explanation:
Who can access your credit report?
a friends
b. employers
c. neighbors
d. teachers
Please select the best answer from the choices provided.
Ο Α
С В
ОС
D
Answer:
B) employers
Step-by-step explanation:
EDGE 2021
the cement truck can pour 20 pounds of cement I 45 seconds how long will it take the cement truck to pour 150 pounds of cement