Answer: Water: 120 gallons
Premium Antifreeze: 200 gallons
Step-by-step explanation:
Had to complete the question first.
A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 80% pure antifreeze. The company wants to obtain 320 gallons of a mixture that contains 5% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?
Water: ____ gallons
Premium Antifreeze: _____ gallons
Solution:
Let w = amt of water required
An equation based on the the percent water, an 80% solution is 20% water
Multiply through
= 20% (320 - w) + w = 50% x ( 320)
64 - 0.2w + w = 160
Collecting like times
0.8w = 160 - 64
w = 96%
w = 120 gal of water to produce 320 gal of 50% antifreeze
320 - 120 = 200 gal of 80% solution
Water: 120 gallons
Premium Antifreeze: 200 gallons
In a study of pain relievers , 100 people were given product A , and all but 33 experienced relief . In the same study , 50 people were given product B , and all but 12 experienced relief
Answer:
Here we want to find the relative frequencies for both products.
for product A we have a sample of 100 people (our 100%) and all but 33 of them experienced relief.
Then, we can find the relative frequency as:
Pa = (33/100)*100% = 33%
this means that product A is not efficient in 33% of the cases.
For product B, the sample is 50 people (our 100%) and all but 12 of them experienced relief, then the relative frequency is:
Pb = (12/50)*100% = 24%.
This means that product B is not efficient in 24% of the cases.
We can see that, in percentage, the product B seems to be more efficient.
Blaine says that the product of a positive integer and a negative integer is always less than either factor. Is he correct? Provide examples or counterexamples to support your answer.
Answer:
you go to th harris right cause u literally have the same summer schools answers
Step-by-step explanation:
i need help with this i dont understand at all. find the 1st, 2nd, 3rd, 4th and 10th nTh term rule is n+5
The rule is n + 5
So we have that
an = n + 5
Where n is the term, that said we want the 1st, 2nd, 3rd, 4th and 10th term
a1 = 1 + 5 = 6
a2 = 2 + 5 = 7
a3 = 3 + 5 = 8
a4 = 4 + 5 = 9
a10 = 10 + 5 = 15
Can u guys PLEASE answer this question ASAP. The line l has equation y=3x+5
1)what is the y intercept
2)what is the gradient
3)find the equation of the line that has the same y intercept as l but has a gradient of 1/2
4) find the equation of the line that has the same equation as l but has a y intercept of -2
Answer:
try to look in desmos graphic calculator
Step-by-step explanation:
Two Chords, Find X. Need help with this answer as soon as possible.
Answer:
77
Step-by-step explanation:
The measure of an angle formed by two chords that intersect inside a circle is equal to half the sum of the measures of the intercepted arcs.
(The sum of the measures of the intercepted arcs)/2
(76+78)/2
154/2
77
Pls help me ima mark BRAINLIST
Answer:
24.5
Step-by-step explanation:
Year 2000 would be 1, so year 2016 would be 17
Your equation is 1.5x - 1, and since we have x = 17, we simply plug it in:
1.5(17) - 1
25.5 - 1
24.5 is our estimated population using the line of best fit.
Answer:
23
Step-by-step explanation:
Note that the horizontal axis notes the years since 2000. This means that each increase in the x axis increases the year by 1. Thus, it means that at x=1, it is 2001, at x=2, it is 2002. In other words, in 2016, x=16.
We can just put this number into the equation:
y=1.5(16)-1
y=24-1
y=23
Jason is playing a game. He has two sets of cards. One set has three red cards, numbered 1, 2 and 3. The other set has four green cards, numbered 4, 5, 6 and 8. Jason chooses a red card and a green card at random. He works out his score by adding the numbers on the two cards together. A sample space diagram is drawn below. Work out the probability that Jason gets a score of 9 or more.
Answer:
1/3
Step-by-step explanation:
There are 12 different sums.
4 of the sums are 9, 9, 10, 11.
All other sums are 8 or less.
p(9 or more) = 4/12 = 1/3
Amy must form a three-letter arrangement using only letters from the word dice. She cannot use a letter more than once in the arrangement. (Her arrangement doesn't need to be a valid word.) The probability that Amy forms an arrangement that begins and ends with vowels is _____. The probability that Amy forms an arrangement whose letters are in alphabetical order (ascending or descending) is ______.
Answer #1: [tex]\frac{1}{2}[/tex]
Answer #2: [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
__ __ __
There are 4 × 3 × 2 possibilities. For the first question, "The probability that Amy forms an arrangement that begins and ends with vowels is _____." To have a her word end in a vowel, then her word will have to end in either 'e', or 'i'. For this to be possible there are two possibilities for the last letter. Then the middle letter will have three possibilities because one letter will have been used for the last one. Finally, there will be two more possibilities for the letter at the end. That's 2 × 3 × 2 possibilities.
To get a word whose arrangement is in alphabetical order either backwards or forwards I just listed possibilities:
CDE
CDI
CEI
IDC
IEC
IED
There are six in all which means the answer to problem two is six out of twenty four.
A is 0.5 and b is 1
The figure below shows a line graph and two shaded triangles that are similar:
-20-16-12-8-40
-1
4 8 12 16 20
Which statement about the slope of the line is true?
The slope from point o to point A is one-fourth times the slope of the line from point A to point B.
The slope from point o to point A is four times the slope of the line from point A to point B.
Olt is throughout the line
It is -4 throughout the line.
Answer:
It is - [tex]\frac{1}{4}[/tex] throughout the line
Step-by-step explanation:
The points O, A and B lie on the line and so the slope will be the same for OA, OB and AB
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = B(- 12, 3) and (x₂, y₂ ) = O(0, 0)
m = [tex]\frac{0-3}{0+12}[/tex] = [tex]\frac{-3}{12}[/tex] = - [tex]\frac{1}{4}[/tex]
Thus the slope is - [tex]\frac{1}{4}[/tex] throughout the line.
Which is a factor of: 2x^2+2x−12 ?
Answer:
(x - 2) and (x + 3) is a factor of: 2x² + 2x - 12
Step-by-step explanation:
2x² + 2x - 12 given equation
Now divide it by 2 we get,
x² + x - 6
then
x² + x - 6
x² + 3x - 2x - 6
x(x + 3) - 2(x + 3)
(x - 2) (x + 3)
Answer:
2 ( x+3)(x-2)
Step-by-step explanation:
2x^2+2x−12
Factor out 2
2 ( x^2 +x-6)
Factor inside the parentheses
What 2 numbers multiply to -6 and add to 1
3*-2 = -6
3+-2 =1
2 ( x+3)(x-2)
Alice and Bob each have a certain amount of money. If Alice receives $n$ dollars from Bob, then she will have $4$ times as much money as Bob. If, on the other hand, she gives $n$ dollars to Bob, then she will have $3$ times as much money as Bob. If neither gives the other any money, what is the ratio of the amount of money Alice has to the amount Bob has?
Answer: 31 : 9
Step-by-step explanation:
Assume the following:
Alice's amount = P
Bob's amount = Q
Amount received = n
If Alice receives $n$ dollars from Bob ;then she will have $4$ times as much money as Bob.
P + n = 4(Q - n)
P + n = 4Q - 4n
P = 4Q - 4n - n
P = 4Q - 5n - - - - (1)
If, on the other hand, she gives $n$ dollars to Bob, then she will have $3$ times as much money as Bob
P - n = 3(Q + n)
P - n = 3Q + 3n
P = 3Q + 3n + n
P = 3Q + 4n - - - - - - (2)
Equating both equations - (1) and (2)
4Q - 5n = 3Q + 4n
4Q - 3Q = 4n + 5n
Q = 9n
Express P in terms of n, use either equation (1) or (2)
From equation 2:
P = 3Q + 4n
Substituting Q = 9n
P = 3(9n) + 4n
P = 27n + 4n
P = 31n
Alice's amount = P, Bob's = Q
Ratio = P:Q
31 : 9
Answer:
31:9
Step-by-step explanation:
Let $A$ and $B$ be the amount of money Alice and Bob have, respectively, at the beginning. We know that
\begin{align*}
A + n &= 4(B - n),\\
A - n &= 3(B + n).
\end{align*}
Simplifying, we have
\begin{align*}
A + 5n &= 4B, \\
A &= 3B + 4n.
\end{align*}Subtracting the first equation from the second gives $5n = B - 4n$, so $B = 9n$. Substituting this into the first equation gives $A + n = 4(9n - n)$, from which we get $A = 31n$.
Therefore, the desired ratio is $\frac{A}{B} = \frac{31n}{9n} = \boxed{\dfrac{31}{9}}$.
Which graph represents the equation below
Answer:
c.
Step-by-step explanation:
c is the correct answer 1,4
Answer:
graph C
Step-by-step explanation:
so the equation given is [tex]f(x)=-(x+1)(x-3)[/tex]
the negative in front of the (x+1)(x-3) indicates that the parabola will reflect over the x-axis and will open downward. This eliminates graphs A and B
the (x+1)(x-3) part tells you the zeros of thr function(x-intercepts)
All you have to do is set (x+1) equal to zero and (x-3) equal to zero as shown:
x+1=0 -- subtract 1 from both sides to get -- x=-1
x-3=0 -- add 3 to both sides to get -- x=3
Therefore, -1 and 3 are your zeros or x-intercepts for the function.
Now, look at graphs C and D to see which of the two graphs passes through (-1,0) and (3,0), of course at the x-axis
The only graph that works is graph C so graph C is your answer
the magic dragon cigarette company claims that their cigarettes contain an average of only 10 mg of tar. a random sample of 100 magic dragon cigarettes shows the average tar content to be 11.5 mg with a known population standard deviation of 4.5 mg. construct a hypothesis test to determine whether the average tar content of magic dragon cigarettes exceeds 10 mg. use a 5% level of significance.
what is the critical value method and pvalue method
Answer:
[tex]t=\frac{11.5-10}{\frac{4.5}{\sqrt{100}}}=3.333[/tex]
Critical value
The significance is 5% so then [tex]\alpha=0.05[/tex] and [tex]\alpha/2=0.025[/tex] then the critical value for this case would be [tex] z_{\alpha/2}= 1.64[/tex]. Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true mean is higher than 10 mg
P value
The p value would be given
[tex]p_v =P(z>3.333)=0.000434[/tex]
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 10 mg
Step-by-step explanation:
Information given
[tex]\bar X=11.5[/tex] represent the sample mean
[tex]\sigma=4.5[/tex] represent the population standard deviation
[tex]n=100[/tex] sample size
[tex]\mu_o =10[/tex] represent the value that we want to test
[tex]\alpha=0.05[/tex] represent the significance level for the hypothesis test.
t would represent the statistic
[tex]p_v[/tex] represent the p value
Hypothesis to test
We want to test if the true mean is higher than 10mg, the system of hypothesis would be:
Null hypothesis:[tex]\mu \leq 10[/tex]
Alternative hypothesis:[tex]\mu > 10[/tex]
the statistic for this case would be given by:
[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)
Replacing we got:
[tex]t=\frac{11.5-10}{\frac{4.5}{\sqrt{100}}}=3.333[/tex]
Critical value
The significance is 5% so then [tex]\alpha=0.05[/tex] and [tex]\alpha/2=0.025[/tex] then the critical value for this case would be [tex] z_{\alpha/2}= 1.64[/tex]. Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true mean is higher than 10 mg
P value
The p value would be given
[tex]p_v =P(z>3.333)=0.000434[/tex]
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 10 mg
Evaluate 3(4-2) what would be the answer to this
Answer:
6
Step-by-step explanation:
3(4 - 2)
Expand brackets.
3(4) + 3(-2)
12 + - 6
= 6
━━━━━━━☆☆━━━━━━━
▹ Answer
6
▹ Step-by-Step Explanation
Follow PEMDAS:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
3(4 - 2)
3(2)
= 6
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Identify the property that justifies the following statement: I will make you a brainllest.
Answer:
reflexive property of simliarity
Step-by-step explanation:
Simple question
please answer need asap
the answer is A. 1,073 ft
The population of China was about 1,360,000,000 people in 2014. Which number best approximates the population as a single digit times a power of 10?
Answer: 1 * 10^9
Step-by-step explanation:
1*10^9 = 1,000,000,000, which is the closest you can get.
Hope it helps <3
Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. When she began her study, the frog population was estimated at 1,200. Which function represents the frog population
Answer:
Step-by-step explanation:
This is exponential, of the form
[tex]y=a(b)^x[/tex] where a is the initial amount and b is the growth/decay rate. If Ginny begins the study with 1200 frogs in the population, our a value is 1200.
If the population is decreasing 3% per year, it is decreasing 100% - 3% = 97% which, as a decimal, is .97. Our exponential function, then, is
[tex]y=1200(.97)^x[/tex]
AC is tangent to circle o at point c. What is the length of AC? ___________ units. diagram below pls help
Answer:
AC = 4 units
Step-by-step explanation:
[tex] OB = OC = 3 (Radii \:of \:same \:circle) \\
OA = OB + AB = 3 + 2 = 5\\
OA \perp AC.. (tangent\: \perp radius) \\
\therefore m\angle OCA = 90\degree \\[/tex]
By Pythagorean theorem:
[tex] AC^2 = OA^2 - OC^2 \\
= 5^2 - 3^2 \\
= 25-9\\
= 16\\
AC =\pm \sqrt{16}\\
AC = \pm 4[/tex]
Since, side of a triangle can't be negative.
Therefore, AC = 4 units
How many many weeks are in 105 days?
Answer: 15 weeks
Step-by-step explanation:
Because there are 7 days in a week, simply divide 105/7 to get 15 weeks.
Hope it helps <3
Hi there! Hopefully this helps!
----------------------------------------------------------------------------------------------------
Answer: There are 15 weeks in 105 days.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Since there are 7 days in a week, we need to divide the time value by 7 .
Like this:
105 / 7 = 15.
Round 0.0008873319 to 2 significant figures
Answer:
0.00089.
Step-by-step explanation:
The third significant figure is 7 so we round up the 8,
Gracie has 5555 pet bunnies that love to eat whole carrots. She has 39393939 carrots to feed the bunnies. Gracie will use as many carrots as she can and give each bunny the same number. How many carrots will each bunny get?
Answer:
7,091.61
Step-by-step explanation:
If you have a number 1. (39393939) and you have another number 2. (5555) and you want the second number to get the same amount as the other numbers but evenly, you need to divided the first number with the second number.
Ex. 39393939/ 5555 = 7,091.61
So each bunny will get 7,091.61 carrots.
1. What is the exact circumference of a circle that has a radius of 10 cm?
Answer:
62.8318531
10 x 2 = 20 so 20 is the diameter
20 x pi = 62.8318531
Hope this helps
Step-by-step explanation:
The exact circumference of a circle that has a radius of 10 cm is 62.8318531
What is the circumference of the circle?The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.
The circumference of the circle = 2πr
Given that circle that has a radius of 10 cm
The circumference is given by
C = 2πr
= 2π10
= 20π
10 x 2 = 20
Therefore, 20 is the diameter
So, 20 x π = 62.8318531
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Which number(s) below belong to the solution set of the inequality? Check all that apply x + 30 < 60 a.300 b.1 c.29 d.30 e.50 f.45
Answer:
b and c
Step-by-step explanation:
x+30<60 -->x < 60 -30 = 30 --> x < 30
Answer:
B and C
Step-by-step explanation:
We can solve for x in the inequality just like you do when solving algebra equations of an = sign.
x + 30 < 60
x + 30 - 30 < 60 -30
x < 30
"<" means the number on the left is smaller than the number on the right. Both numbers must not be equal to each other.
Since x is smaller than 30, and is not 30,
the only option that is correct is B, 1 and C, 29.
A small grain silo is filled with wheat at the end of each season. If the silo is only half full, how many cubic meters of wheat have been stored? Group of answer choices 339.29 m³ 223.19 m³ 169.65 m³ 113.10 m³
Answer:
Volume of wheat = 147.26 m³ (check the explanation)
Step-by-step explanation:
The question still lacks some details such as the size of the silo. We will go forward by assuming the size of the silo to aid our calculation. Silos are cylindrical storage structures that range from 3 - 27 m in diameter and 10 - 90 m in height. For the purpose of this question, let's assume that the size of the silo is 5 m (diameter) by 15 m (height).
Let's list out the parameters to be used:
diameter (D) = 5 m; r = D ÷ 2 ⇒ r = 5/2 = 2.5 m,
height (h) = 15 m
Volume of silo = πr²h = π * 2.5² * 15
V (silo) = 294.52 m³
The silo is half full ⇒ ½ * V
Volume of wheat stored is given by half of the silo volume, since the silo is half-full
V (wheat) = ½ * 298.52
V (wheat) = 147.26 m³
rationalize the denominator of
1/3+√2
Answer:
(-√2 + 3)/7
Step-by-step explanation:
To rationalize the denominator, we need to multiply by the conjugate:
1/(3 + √2)*(3 - √2)/(3 - √2)
(3 - √2)/(9 - √4)
(3 - √2)/(9 - 2)
(-√2 + 3)/7
Find the measure of angle C of a triangle ABC, if: d m∠A = 60°+α, m∠B = 60°−α???
Answer:
c= 60
Step-by-step explanation:
The value of measure of angle C of a triangle ABC is 60°.
Here,
Given that, in a triangle value of two angles is,
m∠A = 60°+α, m∠B = 60°−α
We have to find the angle C of a triangle ABC.
What is sum of angle in triangle?
In a triangle, The sum of angles of a triangle is 180°.
Now,
Given that, in a triangle value of two angles is,
m∠A = 60°+α, m∠B = 60°−α
Let measure of angle C is x°.
⇒ Sum of all angle of triangle = 180°
⇒( 60°+α )+ ( 60°−α ) + x° = 180°
⇒ 120° + x° = 180°
⇒ x° = 180° - 120°
⇒ x° = 60°
Hence, The value of measure of angle C of a triangle ABC is 60°.
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10. The sum of two numbers is 13 more than twice the first number. Their difference is 14 less than the second number. Find each of the numbers.
The sum of two numbers is 13 more than twice the first number:
x + y = 2x +13
x - y = y - 14
solve the system of equations:
x - (x + 13) = (x +13) - 14
x = -12
y = 1
A polynomial function can be written as (x + 1)(x + 4)(x – 7). What are the x-intercepts of the graph of this function?
(1,0), (4,0), (7,0)
O(-1,0), (-4,0), (-7,0)
O (1,0), (4,0), (-7,0)
O(-1,0), (-4,0), (7,0)
Answer:
fourth option
Step-by-step explanation:
Given
f(x) = (x + 1)(x + 4)(x - 7)
To find the x- intercepts let f(x) = 0, that is
(x + 1)(x + 4)(x - 7) = 0
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x + 4 = 0 ⇒ x = - 4
x - 7 = 0 ⇒ x = 7
x- intercepts are (- 1, 0 ), (- 4, 0 ), (7, 0 )
What is the sign of the product (−4)(2)(−3)(6)? (5 points) Select one: a. Positive, because the products (−4)(2) and (−3)(6) are negative and the product of two negative numbers is positive b. Positive, because the products (−4)(2) and (−3)(6) are positive and the product of two positive numbers is positive c. Negative, because the products (−4)(2) and (−3)(6) are negative and the product of two negative numbers is negative d. Negative, because the products (−4)(2) and (−3)(6) are positive and the product of two positive numbers is negative
Answer: Option A
Step-by-step explanation: