Answer:
Oil: 10.5 oz Vinegar: 3.5 oz
Step-by-step explanation:
If the amount of vinegar is the variable x than the amount of oil is 3x. this means that x+3x=14 or 4x=14. Which means x=3.5 so vinegar is 3.5 while oil is three times that or 10.5.
What is the solution to this system of equations?
3x + 6y - 5z = 29
-9x + y + 4z = 9
-8x + 7y + 5z = 4
A teacher spent $259.20 on classroom
supplies. This was 80% of the total classroom
budget. How much was the total budget?
Answer:
$324
Step-by-step explanation:
We need to make a proportion:
[tex] \frac{259.20}{x} = \frac{80}{100} [/tex]
[tex]25920 = 80x[/tex]
[tex]x = 324[/tex]
x is 1%. So 100% = 324*100 = 32400 cents = $324
Hope I helped :)
The consumer price index is _
Answer:
the consumer price index is a measure of the average change over time in the prices paid by the consumers for a market basket of consumer goods and services.
X-2/2 =m+n, solve for x
Answer:
x=2(m+n+1)
Step-by-step explanation:
I am assuming you mean: (X-2)/2 =m+n
X-2 =2(m+n)
X =2m+2n+2
x=2(m+n+1)
16 can be written as
Answer:
sixteen or 1.6 X 10E2
Step-by-step explanation:
Answer: 2^4
Step-by-step explanation:
2•2•2•2=
4 • 4=
16
The graph below shows the experimental probability of a runner finishing in first place (1), in second place (2), in third place (3), or not placing (4). Which of the following describes the probability distribution?
Answer:
im honestly not sure but to help out a little bit im sure its either negatively skewed or constant
Step-by-step explanation:
Answer:
It is C. Negatively skewed.
Step-by-step explanation:
If the bigger portion of the data is to the right, then the data is negatively skewed.
WILL NAME BRAINLIEST
(8 - - 10 - 20 ÷ 2) x - 27 ÷ - 3
-72
-9
9
72
the answer is -72
i checked on a calculator
You read online that a 15 ft by 20 ft brick patio would cost about $2,275 to have professionally installed.
Estimate the cost of having a 21 by 26 ft brick patio installed.
Answer:
4140
Step-by-step explanation:
when u multiply the measurements for the first one you get 300 and the second measurement you get 546 then u put it in the ratio form
If 300= 2,275
546=x
then you cross multiply
What is the absolute value of -3
Miki has 104 nickels and 88 dimes. She wants to divide her coins into groups where each group has the same number of nickels and the same number of dimes. What is the largest number of groups she can have? a)13 b)11 c)8 d)4
The largest number of groups she can have is c) 8
Given:
104 nickels
88 dimes.
Now let determine the largest number of groups she can have
2×2×2×3=104
2×2×2×11=88
Based on the above the greatest common divisor will be:
Greatest common divisor=2×2×2
Greatest common divisor=8
Inconclusion The largest number of groups she can have is 8
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Help me please , I need to turn this in by midnight
Answer:
Step-by-step explanation:
for IV you do 40^2+30^2=c, or 1600+ 900=c. c= 2500 and unsquare that you get 50
Answer:
the ans of III is 50 and IV is12
Brad wants to buy flowers for his friend with 39$. The daisies are $1 each and the roses are $3 each. He buys 3 more dasies than roses. How much did the roses cost?
The weight of a blue whale is about 200,000 kg, or 2 x 105 kg.
The weight of a large whale shark is about 20,000 kg, or 2 x 104 kg.
About how many times heavier is the blue whale than the whale shark?
A. 180,000 times
B. 2 times
C. 1x 10^-1 times
O D. 1x10^1 times
SUBMIT
Blue whales, about 80 feet in length and over 250,000 pounds in weight, are much bigger than whale sharks.
The blue whale is 1 × 10^1 times heavier than a white rhinoceros.
How do scientific notations work?The number is written in the form [tex]a \times 10^b[/tex] where we have it [tex]1 \leq a < 10[/tex]. The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. Scientific notations have some of the profits as Better readability due to compact representation. Its value in terms of the power of 10 is known, which helps in the easy comparison of quantities differing by a large value.
The weight of the animals can be written in scientific notation.
To determine that how much heavier the blue whale is, we need to divide the weight of the blue whale by the weight of the white rhinoceros.
The division operation that is used to group a number into equal parts using another number.
Weight of the blue whale ÷ weight of the white rhinoceros
2 x [tex]10^5[/tex] ÷ 2 x [tex]10^4[/tex]
(2 ÷ 2) x ([tex]10^{5-4}[/tex])
1 × 10
Hence, The blue whale is 1 × 10^1 times heavier than a white rhinoceros.
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Find the measure of
Answer:
Find the measure of what?
Step-by-step explanation:
Next time please write the entire equation. Thank you!
A mail carrier can deliver to 36 houses in 30 minutes. Mark wants to determine how many houses the carrier can deliver mail to in 7.5 minutes at this rate. He thinks that to find the answer, he should do the following.
Answer:
9
Step-by-step explanation:
Answer:
9 housesStep-by-step explanation:
36 houses = (x) houses
30 min 7.5 min.
cross multiply:
30x = 36 (7.5)
x = 270 / 30
x = 9
Someone pls help me plss
If M is the midpoint of PQ and X is the midpoint of PM then PX = a PQ
Answer:
found this i think this should help with your question
Step-by-step explanation:
k. How many dimes are equal to 40 pennies
A 10
B 400
C 14 D 4
Answer:
its ten dimes are equal to 40 pennies. :)
Step-by-step explanation:
Answer:
your anwser is D.4
Step-by-step explanation:
you count by tens till you get to 40 so 10 20 30 40 count that and that gives you 4
A coin is tossed 50 times and it lands on tails 20 times.
What is the relative frequency of getting a tails on the next toss?
The expirmental probability us 28/50
Theoretically the probability is 25/50 because that would be half :)
The relative frequency of getting a tail on the next toss will be 0.40.
How to find the relative frequency?Relative frequency is the ratio of the considered subgroup's count to the whole count.
A coin is tossed 50 times, and it lands on tails 20 times.
Then the relative frequency of getting a tail on the next toss will be
The probability of getting tail is 1/2.
Then the relative frequency will be
⇒ 20/50
⇒ 0.40
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Given f(x) = 6(8-x) + 5
what does the notation f(-2) mean
what is the value of f(-2)?
Answer:
Hi there!
Your answer is:
1. f(-2) Means the function of y when x is equal to -2. You plug in -2 for x!
2. f(-2) = 65
Step-by-step explanation:
6(8-(-2)) +5
6(8+2) +5
6(10)+5
60+5
65
Hope this helps!
Find the value of the expression if x=13 and Y = -8
|x+y|=
Answer:
5
Step-by-step explanation:
13 + (-8) = 5
Suppose a population doubles every 20 years. Then each year it increases by ___ percent.
Answer:
It’s 3.5 percent
Step-by-step explanation:
Population increases by 3.6% every year.
The population in question doubles every 20 years and you need to find out the annual rate of increase.
You can use the rule of 72 which allows you to calculate the doubling time of a variable by the formula:
Time to double = 72 / Rate
As we already have the time the double, the rate is:
20 = 72 / Rate
Rate x 20 = 72
Rate = 72/20
Rate = 3.6%
The population therefore increases by 3.6% every year.
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Ellie says “When I round these three numbers I get the same Numbers for two of them” Anthony says “Hmmm When I around these numbers I get the same numbers for all three” who is correct The Three numbers are 1,483 1,250 1,454
Answer:Anthony
Step-by-step explanation:
work for a publishing company. The company wants to send two employees to a statistics conference. To be fair, the company decides that the two individuals who get to attend will have their names randomly drawn from a hat. (a) Determine the sample space of the experiment. That is, list all possible simple random samples of size . (b) What is the probability that attend the conference? (c) What is the probability that attends the conference? (d) What is the probability that stays home?
Answer:
Step-by-step explanation:
Here is the complete question.
Dominique, Marco, Roberto , and John work for a publishing company. The company wants to send two employees to a statistics conference. To be fair, the company decides that the two individuals who get to attend will have their names drawn from a hat. This is like obtaining a simple random sample of size 2. (a) Determine the sample space of the experiment. That is, list all possible simple random samples of size n = 2. (b) What is the probability that Dominique and Marco attend the conference? (c) What is the probability that John attends the conference? (d) What is the probability that John stays home?
Since there are four employees to select the two to send from. then for us to get the sample space for the experiment we need to merge all possible two employees and represent them as set.
Let D = Dominique, M = Marco, R = Roberto and J = John
a) The sample space for the experiment is the total number of possible outcomes that we can have. It is as given below
S = 4C2 = 4!/(4-2)!2! (Selecting 2 out of 4 employees)
Total sample space = 4!/2!2!
Total sample space = 4*3*2!/2!2
Total sample space = 12/2 = 6
The sample space are S = {DM, DR, DJ, MR, MJ, RJ}
b) Probability is the ratio of number of event to the sample space.
P = n(E)/n(S)
Given n(S) = 6
n(E) is the event of Dominique and Marco attending the conference.
E = {DM}
n(E) = 1
P(D and M) = 1/6
Hence the probability that Dominique and Marco attend the conference is 1/6
c) For John to attend the conference, the event outcome will be given as;
E = {DJ, MJ, RJ}
n(E) = 3
n(S) = 6
Probability for John to attend the conference is 3/6 = 1/2
d) Probability that John stays at home = 1 - Prob (John attends the conference)
Probability that John stays at home = 1 - 1/2
Probability that John stays at home = 1/2
the cooking club made some pies to sell during lunch to raise money for a field trip the cafeteria helped by donating three pies to the club. each pie was then cut into six pieces and sold. There were a total of 72 pieces to sell. how many pies did the club make
Answer:
9
Step-by-step explanation:
72 pieces divided by 6 pieces/pie = 12 pies
3 were donated by the cafeteria
thus 12-3 = 9 pies made by the club
What is the greatest common factor of 24s3, 12s4, and 18s?
Answer:
24
Step-by-step explanation:
When do you know to use either the shell method or washer method and how do you know what to take it to respect to when it is rotating around, x=a, y=a, x=0, and y=0?
Step-by-step explanation:
Let's first consider a rotation about a vertical axis (x=0 or x=a).
Using washer method, the volume is:
∫ᵧ₁ᵞ² π (x₂² − x₁²) dy
∫ᵧ₁ᵞ² π ((x₂ − a)² − (x₁ − a)²) dy
Using shell method, the volume is:
∫ₓ₁ˣ² 2π x (y₂ − y₁) dx
∫ₓ₁ˣ² 2π (x − a) (y₂ − y₁) dx
First, notice that with washer method, the differential dy is parallel to the axis of rotation. With shell method, the differential dx is perpendicular to the axis of rotation.
Also, notice that the limits of integration must match the differential.
Choosing the best method will depend on the function.
If x² can be written in terms of y, and integrated, then washer method is the one to use.
If y can be written in terms of x, and integrated, then shell method is the one to use.
In other words, use washer method if x = f(y) is simple to integrate. Use shell method if y = f(x) is simple to integrate.
If instead we rotate about a horizontal axis (y=0 or y=a), the volume with washer method is:
∫ₓ₁ˣ² π (y₂² − y₁²) dx
∫ₓ₁ˣ² π ((y₂ − a)² − (y₁ − a)²) dx
Using shell method, the volume is:
∫ᵧ₁ᵞ² 2π y (x₂ − x₁) dy
∫ᵧ₁ᵞ² 2π (y − a) (x₂ − x₁) dy
We choose washer method when y² = f(x) is easy to integrate.
We choose shell method when x = f(y) is easy to integrate.
So here's the takeaway:
If the axis of rotation is x = 0 or x = a, and x² = f(y) is easy to integrate, use washer method.
If the axis of rotation is y = 0 or y = a, and y² = f(x) is easy to integrate, use washer method.
Otherwise, use shell method.
Find the area bounded by the given curves:
y=2x−x2,y=2x−4
Answer:
[tex]A = [\frac{32}{3}][/tex]
Step-by-step explanation:
Given
[tex]y_1 = 2x - x^2[/tex]
[tex]y_2 = 2x - 4[/tex]
Required
Determine the area bounded by the curves
First, we need to determine their points of intersection
[tex]2x - x^2 = 2x - 4[/tex]
Subtract 2x from both sides
[tex]-x^2 = -4[/tex]
Multiply through by -1
[tex]x^2 = 4[/tex]
Take square root of both sides
[tex]x = 2[/tex] or [tex]x = -2[/tex]
This Area is then calculated as thus
[tex]A = \int\limits^a_b {[y_1 - y_2]} \, dx[/tex]
Where a = 2 and b = -2
Substitute values for [tex]y_1[/tex] and [tex]y_2[/tex]
[tex]A = \int\limits^a_b {(2x - x^2) - (2x - 4)} \, dx[/tex]
Open Brackets
[tex]A = \int\limits^a_b {2x - x^2 - 2x + 4} \, dx[/tex]
Collect Like Terms
[tex]A = \int\limits^a_b {2x - 2x- x^2 + 4} \, dx[/tex]
[tex]A = \int\limits^a_b {- x^2 + 4} \, dx[/tex]
Integrate
[tex]A = [-\frac{x^{3}}{3} +4x](2,-2)[/tex]
[tex]A = [-\frac{2^{3}}{3} +4(2)] - [-\frac{-2^{3}}{3} +4(-2)][/tex]
[tex]A = [-\frac{8}{3} +8] - [-\frac{-8}{3} -8][/tex]
[tex]A = [\frac{-8+ 24}{3}] - [\frac{8}{3} -8][/tex]
[tex]A = [\frac{-8+ 24}{3}] - [\frac{8-24}{3}][/tex]
[tex]A = [\frac{16}{3}] - [\frac{-16}{3}][/tex]
[tex]A = [\frac{16}{3}] + [\frac{16}{3}][/tex]
[tex]A = [\frac{16 + 16}{3}][/tex]
[tex]A = [\frac{32}{3}][/tex]
Hence, the Area is:
[tex]A = [\frac{32}{3}][/tex]
A grain silo has a circular base with an area of 260 square feet and is 21 feet tall What is the total volume?
The correct answer is 5460 cubic feet or 5460 [tex]ft^{3}[/tex]
Explanation:
The silo has a cylindrical shape, in this context, the volume of the silo or any other cylinder can be calculated by using the formula [tex]Volume =\pi r^{2} h[/tex]. In this formula the symbol [tex]\pi[/tex] refers to the number 3.1415..., the letter [tex]r[/tex] refers to the radius of the base and the letter [tex]h[/tex] refers to the height.
Moreover, in this case, it is known the heigh (21 feet) and the area of the base (260 square feet). Additionally, this area of the base is the result of the formula [tex]Area = \pi r^{2}[/tex], which is exactly the first section of the formula to find the volume. This implies that by multiplying the area of the base by the height the volume is known. Here is the process:
[tex]Volume = \pi r^{2} h[/tex] or [tex]Volume = Ah[/tex] (Area of the base × height)
[tex]V = 260 square feet[/tex] × [tex]21 feet[/tex]
[tex]V = 5460 cubic feet[/tex]
Jacob saved 2 thousand dollar bills, 4 hundred dollar bills, and 6 ten dollar bills to buy a car. The car costs 10 times as much as he has saved. How much does the car cost?
Hey there! I'm happy to help!
We have 2 thousand dollar bills.
2000
4 hundred dollar bills...
2000+400
and 6 ten dollar bills
2000+400+60=2460
We multiply this amount by 10.
2460(10)=24600
This car costs $24,600
Have a wonderful day! :D
Answer:
The car costs 24,600
Step-by-step explanation:
You have to add 2000 + 400 + 50 =2460 and the multiply 2460 x 10 = 24600
