How many quarts of pure antifreeze must be added to 8 quarts of a 10% antifreeze solution to obtain a 60% antifreeze solution
Answers
Answer:
10 quarts
Step-by-step explanation:
.1(8) + 1(x) = .6(x + 8)
.8 + x = .6x + 4.8
.4x = 4
x = 10
10 quarts
Related Questions
What was the original price? Explain how you arrived at this answer.
ONLY ANSWER IF YOU KNOW THE ANSWER
Answers
Answer:
180
Step-by-step explanation:
120 divide by 2
then times by 3
Debra bought 16 pounds of sugar for $7.
How many dollars did she pay per pound of sugar
Answers
solve: In(x-2)-In(x+2)=4: explain how you got to your answer.
Answers
Answer:
No real solutions.
Step-by-step explanation:
We want to solve the equation:
[tex]\ln(x-2)+\ln (x+2)=4[/tex]
Recall that:
[tex]\displaystyle \ln a-\ln b=\ln\left(\frac{a}{b}\right)[/tex]
Therefore:
[tex]\displaystyle \ln\left(\frac{x-2}{x+2}\right)=4[/tex]
By Definition:
[tex]\displaystyle e^4=\frac{x-2}{x+2}[/tex]
Cross-multiply:
[tex]e^4(x+2)=x-2[/tex]
Distribute:
[tex]xe^4+2e^4=x-2[/tex]
Isolate the x:
[tex]xe^4-x=-2-2e^4[/tex]
Factor:
[tex]\displaystyle x(e^4-1)=-2-2e^4[/tex]
Divide. Therefore:
[tex]\displaystyle x=\frac{-2-2e^4}{e^4-1}=\frac{2+2e^4}{1-e^4}\approx-2.07[/tex]
However, note that logs cannot be negative and must be nonzero. According to the first logarithm, x > 2 and according to the second, x > -2. Since the answer is not greater than two, there are no real solutions.
A Deloitte employment survey asked a sample of human resource executives how their company planned to change its workforce over the next 12 months (INC. Magazine, February 2012). A categorical response variable showed three options: The company plans to hire and add to the number of employees, the company plans no change in the number of employees, or the company plans to lay off and reduce the number of employees. Another categorical variable indicated if the company was private or public. Sample data for 180 companies are summarized as follows.
a. Conduct a test of independence to determine if the employment plan for the next 12 months is independent of the type of company. At a .05 level of significance, what is your conclusion?
b. Discuss any differences in the employment plans for private and public companies over the next 12 months.
Answers
Answer:
employment plan for the next 12 months is not independent of the type of company
Step-by-step explanation:
H0 : employment plan for the next 12 months is independent of the type of company
H1 : employment plan for the next 12 months is not independent of the type of company
The Chisquare statistic, χ² :
χ² = (observed - Expected)²/ Expected
Given the data:
Observed values :
_________________ Company
Emp plan ________ private _____ public _total
Add employees _____ 37 ________ 32 __ 69
No change__________19 ________ 34 __53
Layoff employees ____ 16 ________ 42__58
Total ______________72 ________108 _ 180
The expected value counts :
(Row total * column total) / grand total
Expected Values:
27.6 ___41.4
21.2 ___ 31.8
23.2 ___34.8
Chi-Squared Values:
3.20145 ___2.1343
0.228302__ 0.152201
2.23448 ____1.48965
χ² = (3.20145 + 2.1343 + 0.228302 + 0.152201 + 2.23448 + 1.48965)
χ² = 9.440383
Degree of freedom, df (row - 1) * (column - 1) = (3-1) * (2 - 1) = 2 * 1 = 2
Pvalue from Chisquare statistic, df = 2
Pvalue = 0.008913
Since ;
Pvalue < α ; We reject the null and conclude that employment plan for the next 12 months is not independent of the type of company.
2x-5y=22n y=3x-7 Use substitution to solve the system.
Answers
Answer:
x = 1 , y = -4
Step-by-step explanation:
2x - 5y = 22 ------- ( 1 )
y = 3x - 7 ------- ( 2 )
Substitute ( 2 ) in ( 1 ) :
2x - 5 (3x - 7) = 22
2x - 15x + 35 = 22
- 13x = 22 - 35
- 13x = - 13
x = 1
Substitute x in ( 1 ) :
2x - 5y = 22
2 ( 1 ) - 5y = 22
- 5y = 22 - 2
-5y = 20
y = - 4
D(x, y) = (3x, 3y)
Preimage:P(1, -1), Q(2, 1), R(-2, 1)
Image: P'(,), Q'(,), R'(,)
Scale factor:
Answers
Step-by-step explanation:
I have no idea but here's thiss
Please can someone help quick and now 115 students choose to attend one of three after school activities: football, tennis or running.
There are 54 boys.
52 students choose football, of which 25 are girls.
43 students choose tennis.
10 girls choose running.
A student is selected at random.
What is the probability this student chose running?
Give your answer in its simplest form.
Answers
Answer:
only 20 students would
Step-by-step explanation:
the probability would be very since it is 20 out of 115. i hope this helped
Each month your cell phone company charges you $ 50 for your plan plus 3 cents for each text you send. You have $ 140 budgeted for cell phone expenses for the month. Construct an inequality to make a determination about the number of texts you can send each month. Note that you cannot send a fraction of a text. You must send _____________ _____________ texts this month in order to stay within
Answers
Answer:
3000 text messages can be sent without breaking the budget.
Step-by-step explanation:
Since each month your cell phone company charges $ 50 for your plan plus 3 cents for each text you send, and you have $ 140 budgeted for cell phone expenses for the month, to make a determination about the number of texts you can send each month the following calculation must be performed:
(140 - 50) / 0.03 = X
90 / 0.03 = X
3000 = X
Therefore, 3000 text messages can be sent without breaking the budget.
Find each missing length to the nearest tenth.
Answers
Answer:
8.944
Step-by-step explanation:
To find the missing Length, Use Pythagorean Theorem!
[tex]a^2+b^2=c^2[/tex]
[tex]4^2+8^2=c^2[/tex]
[tex]16+64=c^2[/tex]
[tex]80=c^2[/tex]
[tex]\sqrt{80} =8.944[/tex]
so it is approximately 10 but not quiet
hope this helps
a principios de un mes, el precio de la gasolina de 95 octanos era de 750 el litro. si aunmento en un 12% el dia 10 y luego disminiyo un 5% el dia 24 ¿cual es el precio a fin de mes?
Answers
Answer:
750/100*12=90. 640, 37.5 O 32, entonces seria 670.5 o 673, tu decides, porque no se si el aumento o disminuyo del segundo es a base del valor inicial, pero yo diria que si, asi que suerte! espero te ayude
Find the P-value for the hypothesis test with a standardized test statistic z. Decide whether toreject the null hypothesis for the level of significance α.a. Left-tailed test, z = -1.32, α = 0.10b. Right-tailed test, z = 2.46, α = 0.01c. Two-tailed test, z = -1.68, α = 0.05
Answers
Answer:
1.) We don't reject the null
2.) We reject the Null
3.) We do not reject the null
Step-by-step explanation:
Obtaining p values using test statistic:
Given that ; we have a standardized test statistic and α - values ;
Let's define the decision region :
If Pvalue < α ; Reject H0 ; otherwise, fail to reject H0
A.)
Left tail , Z = - 1.32 ; α = 0.10
We can use the Pvalue calculator from Z score :
Pvalue = 0.934
Pvalue > α ; Hence, we fail to reject the null, H0
B.)
Right-tailed test, z = 2.46, α = 0.01
Pvalue from Zscore calculator ;
Pvalue = 0.0069
Pvalue < α ; Hence, we reject the null, H0
C.)
Two-tailed test, z = -1.68, α = 0.05
Pvalue from Zscore calculator ;
Pvalue = 0.093
Pvalue > α ; Hence, we fail to reject the null, H0
help!
Is there alternative way in solving a arithmetic sequence?
Answers
Answer:
[tex] { \boxed{ \blue{ \tt{last \: term : l = a + (n - 1)d}}}} \\ \\ { \boxed{ \green{ \tt{sum : s = \frac{n}{2} (2a + (n - 1)d}}}} \\ or\\ { \boxed{ \tt{ \red{sum : s = \frac{n}{2} (a + l)}}}} \\ { \bf{s \: is \: sum }} \\ { \bf{ l \: is \: last \: term}} \\{ \bf{ n \: is \: number \: of \: terms}} \\{ \bf{ d \: is \: common \: difference}} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]
There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a red marble is 3/8.
There are 72 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.
Answers
Answer:
27
Step-by-step explanation:
specific probability = number of specific possibilities divided by number of total possibilities.
the number of total possibilities is 72 (we can pull one out of 72).
the probability of pulling a red back is 3/8.
so, to find the actual number of specific possibilities (actual number of red balls in the overall sample size of 72) we need to bring this ratio of 3/8 to an expression of x/72.
what is the factor to turn 8 into 72 ? 9.
8×f = 72
f = 72/8 = 9
to keep the ratio unchanged in its dimension, we need to apply the same factor to 3 to get x.
3/8 × f/f = x/72
3/8 × 9/9 = x/72
3×9 / 72 = x/72
3×9 = x = 27
so, the probability ratio based on actual possibilities (number of balls available) is 27/72
=>
there are 27 red balls in the bag of total 72 balls.
Why is android sound louder then iPhone???
Answer ASAP
Answers
What is the area of the sector shown in the diagram below?
8 cm
40*
C
A. 89.4 cm2
B. 5.6 cm2
C. 25.1 cm2
D. 22.3 cm2
Answers
Answer:
the answer for this C.
Step-by-step explanation:
are
[tex]area \: of \: a \: sector \: is \: \frac{teter}{360} \times \pi {r}^2 \: [/tex]
[tex]therefore \: it \: is \: equal \: to \: \frac{40}{360} \times \frac{22}{7} \times 8 \times 8 \\ = \frac{40}{360} \times \frac{22}{7} \times 64 [/tex]
[tex]you \: then \: cancel \: 360 \: by \: 40. \\ that \: is \: \frac{1}{9} \times \frac{22}{7} \times 64 \\ \frac{1408}{63} \\ = 22.3.[/tex]
When the consumer's income increases by 50% assuming other conditions are constant, the demand for good Y increases by 25%. What kind of commodity is Y?
Answers
Normal good
Step-by-step explanation:There are 3 basic types of commodities or goods;
i. The normal good
ii. The luxury good
iii. The inferior good
Relative to income and demand, when an increase in income causes an increase in the demand for a good, then the good is a normal good. For a normal good, the measure of the responsiveness of demand to a change in income (known as income elasticity of demand) is always greater than 0. In other words, it is positive.
If instead, an increase in income causes a decrease in the demand for a good, then the good is an inferior good. The income elasticity of demand for an inferior good is less than 0. In other words, it is negative.
When the increase in income causes a larger percentage in the demand for a good, then the good is a luxury good. Luxury goods are a special type of normal goods. The income elasticity of demand for a luxury good is greater than 1 since their is a larger percentage increase in the demand.
Income elasticity of demand is calculated by finding the ratio of the percentage increase in the demand to the percentage increase in income.
In the illustration given, the consumer's income increases by 50% causing the demand for good Y to increase by 25%. This is an example of a normal group. i.e increase in income causes an increase in the demand for good Y.
The income elasticity of demand for good Y is given as the ratio of the percentage increase in demand (25%) to the percentage increase in income (50%). Therefore, the income elasticity of demand for good Y is;
25% / 50% = 0.5
Since the income of elasticity of demand for good Y is 0.5 which is greater than 0, good Y is a normal good.
Have a stack of quarters
from the floor to the top of
your head OR $225?
Answers
Answer:
225 quarters are easy to loose and who will accept that many quarters
Step-by-step explanation:
Answer:
quarters
You will get more money
Given that x = 4, b=6 and c = 3. Then 3a + bc = 16.
true or false?
Answers
Answer:
False
Step-by-step explanation:
3a + bc = 16.
Let a=4 b=6 c=3
3(4) + 6*3 = 16
Multiply
12+18 =16
30 = 16
False
Answer:
False!
Step-by-step explanation:
There is no a variable that is given, though I'm going to assume you mean that x=4 is supposed to be a=4. If I'm mistaken, there isn't much to say about whether the statement is true or false, because there's no false statement as it'd give you a=? and you can't prove or disprove this information without more information.
If my assumption is correct, we'll first start solving this problem by substituting in the variables, which would give us: 3(4)+(6)(3)=16
Then, we'll evaluate 3(4) first, because of order of operations, which gives us 12. To reiterate the problem, we now have: 12+(6)(3)=16 From here, we can already tell this is going to be a false statement, as there is no way 6 times anything but zero will give a sum less than 6, but if you didn't catch that, we can continue with our next step.
Evaluate (6)(3) in order to get 18, in order to get: 12+18=16
And finally, we'll add. 12+18 is 30, which as we know, is not equal to 16, so that makes this statement false. 30≠16
9. Find the length of X (in the picture) plssss I need help. (GIVING POINT'S AND BRAINLY)
Answers
Answer:
[tex] \frac{7.5}{x } = \frac{6}{4} \\ 6x = 30 \\ x = 5 [/tex]
a) Write 5^17 x 5^2 as single power of 5
Answers
Answer:
When we multiply two number with the same base but different power, the power gets added.
So, the answer is:
5^17*5^2
=5^(17+2)
=5^19
1. If f(x)=4*, then which of the following is the value of f(-2)?
Answers
Answer:
what is the following
Step-by-step explanation:
in circle T with m angle STU=50 and ST=3 units, find the length of arc SU. Round to the nearest hundredth.
Answers
9514 1404 393
Answer:
arc SU ≈ 2.62 . . . units
Step-by-step explanation:
The arc length is given by ...
s = rθ
where r is the radius, and θ is the central angle in radians.
arc SU = ST·STU = 3·(50°·π/180°) = 5π/6
arc SU ≈ 2.62 . . . units
In an all boys school, the heights of the student body are normally distributed with a mean of 68 inches and a standard deviation of 3 inches. What is the probability that a randomly selected student will be taller than 72 inches tall, to the nearest thousandth?
Answers
Answer: 0%?
Step-by-step explanation: there isn't much to this problem because if it had a deviation of 3 from 68, it could be 7 digits from 65 to 71, but since 72 is out of the range, i can only say that this answer is not very correct if it has answer choices other than 0.
The probability is 0.160
What is probability?
'Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.'
mean (μ) = 68 inches
Standard Deviation (σ) = 3
We know,
Z = [tex]\frac{x - mean}{standard deviation}[/tex]
From the normal distribution bell curve, we can see that the percentage of students taller than 72 inches = 14% + 2%
= 16%
The probability that a randomly selected student will be taller than 72 inches = 16/100
= 4/25
= 0.16
= 16%
Hence, we can conclude, that the probability that a randomly selected student will be taller than 72 inches is 0.160
Learn more about probability here:
https://brainly.com/question/11234923
#SPJ2
find f(-2) for f(x)=3•2^x
Answers
Answer:
0.75 or 3/4
Step-by-step explanation:
f(-2) = 3•2^-2
f(-2) = 3•0.25
f(-2) = 0.75 or 3/4
Hope this helps! :)
which of the following are not rational numbers ? (Choose all that apply.)
A. /5
B. 0.666
C. 16/9
D. -30
Answers
9514 1404 393
Answer:
A
Step-by-step explanation:
The square root of any integer that is not a perfect square will be irrational.
√5 is irrational
__
Any decimal number that terminates or repeats is a rational number, regardless of sign. All of the decimal numbers shown are rational. (All terminate after a finite number of digits.)
Of course, any ratio of integers is a rational number. That's what the word "rational" means.
Your friend was supposed to repay a loan with a loan payment of $1,000 due in 6 months and another loan payment of $1,500 due in 4 years. However, your friend agrees to make two payments that replace the originally scheduled payments. The first replacement payment of $1,250 is due in 2 years and the second replacement payment of $X is due in 3 years. Suppose the interest is 7% p.a. compounded quarterly and the focal date is 3 years from now (Year 3), your friend asks for your help to determine the size of the second replacement payment, $X. Answer the following question:
Your answer for $X at the focal date is ($BLANK)
. (Express in 2 decimals) Hint: Based on your answer in Q3 and the replacement payment in Q5, you will need to determine $X.
Note: to receive the full mark, you will use all the decimal places when performing calculations, round to 2 decimal places in your final answer, and there is no need to include other symbols such as $ and comma in your final answer.
Answers
16. Rachael teaches at the college and it pays $3000 per month. She spends $50 on groceries per
week. Netflix costs $9 per month. She pays $50/month for internet. Utilities cost $200 per
month. Rachael's phone bill is $82 per month. Find the net monthly cash flow. (assume 1 month
= 4 weeks).
Answers
Answer: Rachel gets a total of 2459 dollars to save each month.
Step-by-step explanation:
200+9+50+200+82=541
3000-541=2459
Alexis pls answer this question you are sooooooooooooo good at math. (Nobody else answer this, only Alexis)
Answers
Answer:
5/8
Step-by-step explanation: Keep, Change and Flip so you do 1/2 times 5/4
Answer:
5/8
Step-by-step explanation:
To divide by a fraction. multiply by the reciprocal of that fraction.
1/2 * 5/4
Multiply the fractions across.
so 1*5=5, then do 2*4= 8
5/8
What is the slope of the line that passes through the points (-6, -2) and (2, -2)?
Answers
Answer:
0
Step-by-step explanation:
We can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= ( -2 - -2)/(2 - -6)
= (-2+2)/(2 +6)
= 0/8
= 0
Answer:
Slope is 0
Step-by-step explanation:
Slope formula is (y2-y1)/(x2-x1)
-2 - (-2)/2 - (-6)
0/8
0
I WILL MARK BRAINLIEST!!!!
Kristin is swimming in the ocean and notices a coral reef below her. The angle of depression is 35 degrees. And the depth of the ocean, at that point is 250 feet. How far away is she from the reef?
Answers
Answer:
435.8 feet
Step-by-step explanation:
law of sines:
*sin 90°/1 = sin 35°/250
cross-multiply to get:
x·sin35° = 250
x = 250/sin35°
x = 435.8
*we can assume the ocean surface and the reef 250 feet below forms a 90° angle