How many gallons of a 70% antifreeze solution must be mixed with 90 gallons of 15% antifreeze to get a mixture that is 60% antifreeze? Use the six-step method.
Answer:
405 gallons
Step-by-step explanation:
Let it be that the amount of gallons of a 70% antifreeze solution is x, when a mixture that is 60 percents of antifreeze is placed in y gallons
x+90=y - the equation of dependence between solutions
The amount of antifreeze in the first one is x/100*70= 0.7x (in gallons), in the second solution (15percents) antifreeze is 90/100*15=13.5 (in gallons).
In the mixture we should get there will be y/100*60=0.6y - gallons of antifreeze
0,7x+13.5=0.6y
We have two equations x+90=y and 0,7x+13.5= 0.6y
0.6x+54=0.6y
0.7x+13.5=0.6y
0.7x+13.5-0.6x-54= 0.6y-0.6y
0.1x-40.5=0
x=405- the answer
p.s. sorry, I don't know what the six-step method is. But the answer is right.
All the applicants chose at least one of the three countries Egypt, Ghana and South Africa. A total of 2417 applicants chose Egypt as their favorite destination; 3500 applicants chose Ghana or South Africa as their favored destination. Of those that chose Egypt, 1233 also chose Ghana. 1031 applicants chose Ghana and South Africa, while 2014 chose Egypt or South Africa but not Ghana. Only 565 applicants indicated their preference for Egypt and Ghana but not South Africa. If 1803 did not indicate Egypt as their preferred destination, obtain the following:
The total number of applicants assessed. (5 marks)
The number of applicants who chose each of the three destinations only. (3 marks)
The most popular of the three destinations. (2 marks)
Answer:
hard quiz
Step-by-step explanation:
3(4x+1)=15? X=
What is the solution?
Answer:
x=1
Step-by-step explanation:
3(4x+1)=15
12x+3=15
12x=15-3
12x=12
x=12/12
x=1
What is the solution to this system of equations?
-a – 3 + 4c = 3
5a - 8b + 5c = 27
5a – 2b + 6c = 1
A. a = -4, b = -2, c = 1
B. a = 4, b = 2, c = -1
C. a = 1, b = -4, c = -2
D. a = -2, b = –1, c = 4
Step-by-step explanation:
hope it can work for you mark me as brain liest
I need help finding x
Answer:
x = 40.3
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin x = 11/17
Taking the inverse sin of each side
sin ^-1 ( sin x) = sin ^-1( 11/17)
x = 40.32
Rounding to the nearest tenth
x = 40.3
Answer:
45°
Step-by-step explanation:
You can tell the distance from the right angle from each leg is the same and the angle measurements are the same.
Can someone please help me (giving brainliest to whoever is right)
A town has received about 49 inches of rainfall each year for the last 122 years. About how many inches of rain is this?
Answer:
5,978 inches
Step-by-step explanation:
you multiply 49 inches of rainfall by how many years it's been doing it for and you get 5,978
HELP ASAP I WILL GIVE BRAINLIEST
Answer:
20 x 6
Step-by-step explanation:
23 x 6 = 138
We already have 3 x 6 on the right side, however, so subtract 3 x 6 or 18 from 138:
138 - 18 = 120
Now we have to fill in the blank with an answer that, when multiplied, equals 120 so that the equality is true.
The only option that works out to 120 is the second option, 20 x 6.
Answer:
(20×6)
Step-by-step explanation:
23×6=(20×6)+(3×6)
138=120+18
138=138
Type the correct answer in the box. Use numerals instead of words.
Consider this expression.
| m^2+n^2 |
When m= -5 and n= 3, the value of the expression is ____.
**I answered 16 and it was wrong**
The value of the expression | m^2+n^2 | at m = -5 and n = 3 is 34.
Given,
| m^2+n^2 |
We need to find the value of this expression at m = -5 and n = 3.
What is the modulus of x?The modulus of x is given as |x|.
The modulus of a negative x is also positive.
|-x| = x
How do we find an expression at a given point?Example:
x + 2 at x = 1
= 1 + 2
= 3
Find the value of | m^2+n^2 | at m = -5 and n = 3.
| m^2+n^2 |
= | (-5)² + (3)² |
= | 25 + 9 |
= | 34 |
= 34
Thus the value of the expression | m^2+n^2 | at m = -5 and n = 3 is 34.
Learn more about finding the value of an expression at a point here:
https://brainly.com/question/17077979
#SPJ2
What expression is this equivalent to -4x^2 + 2x - 5(1 + x)
Answer:
-4x^2 -3x - 5
Step-by-step explanation:
-4x^2 + 2x - 5(1 + x)
Distribute
-4x^2 + 2x - 5 -5x
Combine like terms
-4x^2 -3x - 5
brainiest to whoever right
Answer:
The area is 7.5 square units
Which statement compares the two numbers correctly?
0.799 ________ 0.8 I need help thanks if you will ill give you 70 points but you have to help me before 4:00 thanks soo much if you do
Answer:
the statements are missing can you post them please
Answer:
C. 0.799 < 0.8Step-by-step explanation:
0.799 ________ 0.8
Choices:
0.799 > 0.8 0.799 = 0.8 0.799 < 0.8 0.8 < 0.799Comparing this two, compare 0.799 and 0.800 and if you ignore the decimals, it will be same as comparing 799 and 800.
We know 799 < 800, so apply the same here to get:
0.799 < 0.8Correct choice is C
turn 5/9 into a decimal.
5/9 to a decimal would be .5 repeated
The answer is .5 repeated
Do not put your answer as .5 because .5 is 5/10
A proper answer can be something like "0.5 repeated, 0.5555..., or .5 with a line over the 5"
Help with this please now
Answer:
ok dude
Step-by-step explanation:
Wʜᴇʀᴇ ɪs ǫᴜᴇsᴛɪᴏɴ?
Answer:
what help l don't understand please sorry I didn't help you explain your problem l will help you
Write the equation of the line that passes through (6,8 ) and (2,4).
Answer:
y = x + 2
Step-by-step explanation:
The slope of the given points (6, 8) and (2, 4) is m = 1.
The y-intercept found through the slope, m = 1, is b = 2.
So, m = 1 and b = 2, right?
Let's put this together into the formula y = mx + b, we'll get: y = x + 2
When analyzing an argument, the first task is to identify its premise or premises and its conclusion. Conclusion indicators are words or phrases that can help you identify which statement in an argument is the conclusion.Each argument shown next uses a conclusion indicator. Identify the conclusion indicator and the argument's conclusion. Type the indicator word or phrase into the space provided, and then select which statement best represents the argument's overall conclusion.Argument ASilver cars are more likely to be pulled over than any other kind of car. This is because there are more silver-colored cars on the road than any other kind of car. Kari drives an average-looking silver car to and from work everyday. We may infer that Kari is more likely to be pulled over.From this argument, type the conclusion indicator word or phrase here:Which statement best represents the conclusion of the argument?Kari is more likely to be pulled over.Kari drives an average-looking silver car to and from work everyday.Silver cars are more likely to be pulled over than any other kind of car.There are more silver-colored cars on the road than any other kind of car.Argument BScissors are not a toy. If you run with scissors, then you could get hurt. You could poke your eye out or cut yourself with the scissors if you fall. For these reasons, you should never run with scissors.From this argument, type the conclusion indicator word or phrase here:Which statement best represents the conclusion of the argument?You could poke your eye out or cut yourself with the scissors if you fall.If you run with scissors, then you could get hurt.Scissors are not a toy.You should never run with scissors.Argument CWe know that the natural world is governed by scientific laws of regularity. Those laws express predictable relationships that do not allow any wiggle room for variant outcomes. So, humans do not have free will. This is because the human body is as much a part of the natural world as any other physical object.From this argument, type the conclusion indicator word or phrase here:Which statement best represents the conclusion of the argument?Humans do not have free will.The natural world is governed by scientific laws of regularity.The human body is as much a part of the natural world as any other physical object.Scientific laws express predictable relationships that do not allow any wiggle room for variant outcomes.
In Argument A the conclusion indicator is "we may infer that" and the conclusion is Kari is more likely to be pulled over.
In Argument B the conclusion indicator is "For these reasons" and the conclusion is You should never run with scissors.
In Argument C the conclusion indicator is "So" and the conclusion is Humans do not have free will.
To identify the conclusion of each argument, we can either separate the premises (examples of the author's opinion) from the entire argument or we can identify the conclusion indicators.
Some conclusion indicators include:
therefore, thus, hence, so, for these reasons, we may infer, as a result,consequently, etcArgument A:
conclusion indicator = we may infer thatConclusion = Kari is more likely to be pulled over.
Argument B:
conclusion indicator = For these reasons,Conclusion = You should never run with scissors
Argument C:
conclusion indicator = So,Conclusion = Humans do not have free will
Learn more here: https://brainly.com/question/14583700
help please! will give brainliest
Find the slope that is PARALLEL and PERPENDICULAR to the equation of the line y = -1/2x+6.
Step-by-step explanation:
For parallel line:
slope of given line:
m=-1/2
Parallel lines have equall slopes:
required slope=-1/2
For perpendicular line:
m1×m2=-1
-1/2×m2=-1
m2=2
slope of perpendicular line=2
Note:if you need to ask any question please let me know.497 + 184
A. 581
B. 671
C.681
D.571
Answer:c
Step-by-step explanation:
Solve for x.
(2x - 5°
(5x + 10)
B
Blue whales eat an average of 5,000 pounds of fish daily, with a standard deviation of 850 pounds. Approximately what percentage of blue whales eat more than 5,850 pounds of fish?
1.59%
15.87%
31.74%
84.13%
Answer:
31.74%
Step-by-step explanation:
..........................
Answer:
B) 15.87%
I got full points on this question!! It's correct!
In which quadrant , the point (2, -1) lies
1st
2nd
3rd
4th
Answer:
4 th quadrant
Step-by-step explanation:
hope it helps you
One week, Rachel earned $250. She spent $120 on food, $30 on miscellaneous items, and saved the rest.
If Rachel makes a pie chart showing how she spends her money, the central angle for the food sector would be __________.
187°
173°
90°
144°
The average price of a 0.5- carat round diamond is $3700 and the average price of a 0.75- carat diamond is $4950. If the weight and the price of the diamond is linearly related, how much will a 2.5 -carat round diamond cost?
Since the problem stated the weight and price are in a linear relationship, we can use y=mx+b.
First, let's calculate our slope.
m = (4950-3700)/(0.75-0.5) = 5000
Now, let's solve for b.
3700 = 5000(0.5) + b
Simplify the right side of the equation.
3700 = 2500 + b
Subtract 2500 from both sides
1200 = b
Now our equation looks like this:
y = 5000x + 1200
Let's plug 2.5 in for x to solve for the diamond cost.
y = 5000(2.5) + 1200
Simplify the right side.
y = 13700
The average price of a 2.5 carat diamond is $13700
Help please due today
Answer:
the scale factor is greater than 1
hope this helps!:)
Can someone please show me how to solve (-6)=-x+b with steps?
Answer:
x = 6+b
Step-by-step explanation:
-6 = -x+b
Subtract b from each side
-6-b = -x+b-b
-6-b = -x
Multiply each side by -1
6+b = x
Find the midline for f(x)=sinx+1.
a. y=0
B. y=−1
C. y=1
D. y=−2
Answer:
B Y=1
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
What is the greatest value that sin(x) + 1 can have? It isn't 1.
f(90) = sin(90) + 1
f(90) = 1 + 1 = 2
What is the smallest value that sin(x) + 1 can have? It still isn't one.
f(-90) = sin(-90) + 1
f(-90) = -1 + 1 = 0
So the midline is (2 + 0)/2 = 1
y = 1 is the answer.
Which equation should be used to graph [tex]y=sec^{-1} (x)[/tex] on a calculator?
[tex]y = \frac{1}{sec(x)} \\y=\frac{1}{cos^{-1} (x)} \\y=sec(\frac{1}{x} )\\y=cos^{-1} (\frac{1}{x} )[/tex]
9514 1404 393
Answer:
(d) y = arccos(1/x)
Step-by-step explanation:
You are given y = arcsec(x), which means sec(y) = x = 1/cos(y). Then ...
cos(y) = 1/x
y = arccos(1/x) . . . . . matches choice D
Match the line described on the left with the slope of the line on the right. y = 3‐--------------------------------------undefined 9x – 3y = 18.--------------------------,------- - 2 the line through (5, 7) and (5, – 8) -------0 the line through ( – 4, – 1) and (-1,–7)--- 3.
Answer:
y=3, 0; 9x-3y=18, 3; line through (5, 7) and (5, – 8), undefined; the line through ( – 4, – 1) and (-1,–7), -2;
Step-by-step explanation:
y=3 is a horizontal line so the slope is 0
9x-3y=18 can be written as 3y=9x-18 or y=3x-6 so the slope is 3
the line through (5,7) and (5,-8) is a vertical line since the x value didnt change between the two points so the slope is undefined
we have to find the slope of the line through ( – 4, – 1) and (-1,–7). to do this use the formula (y_2-y_1)/(x_2-x_1)=(-7-(-1))/(-1-(-4))=(-7+1)/(-1+4)=-6/3=-2 so the slope is -2
Whoever gets this question right, I will mark brainilest! Thanks!
10. 2/10 = 0.2 or 0.20
11. 8/10 = 0.8 or 0.80
12. 5/10 = 0.5 or 0.50
13. 17/100 = 0.17
14. 89/100 = 0.89
15. 68/100 = 0.68