Answer:
u = 44/13
Step-by-step explanation:
Step 1. Cross multiply
Step 2. Simplify each side
Step 3. Isolate variable
[tex]\frac{13}{11} =\frac{4}{u}[/tex]
[tex]13u=(4)(11)[/tex]
[tex]13u=44[/tex]
[tex]u=44/13[/tex]
BRAINLIEST please if this helped!P P,Q and R can finish a task in 8, 10 and 12 hours respectivly.They started working together but after 3 hours, P and R left. How long will Q take to finish the task now?
Detail it
Answer:
45 minutes
Step-by-step explanation:
Assume task completed in total x hours
[tex]\frac{x}{10} + \frac{3}{8} + \frac{3}{12} = 1 \\ 12x + 45 + 30 = 120 \\ 12x = 45 \\ x = \frac{15}{4} = 3 \frac{3}{4}[/tex]
So q will take 45 more minutes
Which of the following is an example of theoretical probability? OA. Elena called 5 friends, and 3 of them were at home. The probability Elena's friends are at home is 3/5 B. A spinner has 8 equal sections numbered 1 ? 8. The probability of spinning the number 3 is 1/8 C. A coin was flipped 100 times, and the results were 53 heads and 47 tails. The probability of heads is 53/ 100 D. Greg turned over 10 playing cards, and 3 of them were aces. The probability of turning over an ace is 3/10
An example of theoretical probability from the considered option is given by: Option 2: A spinner has 8 equal sections numbered 1 to 10. The probability of spinning the number 3 is 1/8
What is experimental probability?Experimental probability calculates the probability of some event from the results of experiments.
For an event E, we get the experimental probability of that event
[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}[/tex]
where, [tex]P_e(E)[/tex]is denoting experimental probability of occurrence of E.
What is theoretical probability?Probability which is derived theoretically, irrespective of what outcome comes, is called theoretical probability. Probabiltiy which is based on the outcomes of experiments performed is called experimental probability.
Suppose we want to find the probability of an event E.
Then, its theoretical probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
Checking all the options to see which one gives theoretical probability:
Option 1: Elena called 5 friends, and 3 of them were at home. The probability that Elena's friend are at home is 3/5This option uses what was observed from one result. Thus, 3/5 is experimental probability here, as there is no evidence of it being theoretical probability but enough support towards being experimental probability.
Option 2: A spinner has 8 equal sections numbered 1 to 10. The probability of spinning the number 3 is 1/8No experiment is done here, just the description of the setup of the random experiment.
Now, E = event of getting 3 on the spinner.
All spinner's parts are assumingly equally likely, we have:
Number of ways E can occur = 1
Number of ways spinner's outcome can come = 8
Thus, we get P(E) = 1/3
Thus, this option is demonstrating theoretical probability.
Option 3: A coin was flipped 100 times, out of which 53 heads and 47 tails. The probability of heads is 53/100This is using experimental results to get the estimated probability.
Actually, assuming coin being fair, both the tail and heads being equally probable, if we take:
E = event of getting head, then as there are two results possible being Tail or Head (assuming only 2 results), and there is one way of getting head in one toss, so we get:
P(E) = 1/2 = 0.5
Thus, this option is demonstrating experimental probability instead of theoretical one.
Option 4: Greg turned over 10 playing cards, and 3 of them were aces. The probability of turning over an ace is 3/10It is using the data from one experiment. So its experimental probability. Sometimes we can get experimental probability = theoretical probability value, but still, there'd be difference of how you calculated it from the start. Usually, if calculated from experiment, then its experimental probability, and if calculated virtually and based on theories, it is theoretical probability.
Thus, an example of theoretical probability from the considered option is given by: Option 2: A spinner has 8 equal sections numbered 1 to 10. The probability of spinning the number 3 is 1/8
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Gas prices are projected to increase by 125% Over the next several years. If a gallon of gas currently costs $3.60. What is the projected cost of a gallon of gas?
Answer:
$ 8.10
Step-by-step explanation:
3.60 * 2.25 =
Find the value of x to the nearest tenth.
1.9
3.5
–4.4
7.5
Answer:
The correct answer is 7.5
Step-by-step explanation:
[tex] \tan(62) = \frac{x}{4} [/tex]
then you multiply by 4 and you get:
[tex] \tan(62) \times 4 = x[/tex]
Result:
[tex]x = 7.5[/tex]
How do you explain a math equation?
How many 3-digit numbers contain at least one zero?
Answer:
171
Step-by-step explanation:
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BRAINLIEST + STARSS!!!
What is the volume of this cone? Use 3.14 for pi and round your answer to the nearest tenth.
In your answer, give the volume of the cone rounded to the nearest tenth, and then explain how u calculated it
Answer:
33.5 in^3
Step-by-step explanation:
The formula for a cone is (pi)(r^2)(h/3)
Since we need to use 3.14 for pi, we will plug in 3.14 for pi. It should look like this: (3.14)(r^2)(h/3)
The radius is 2 and the height is 8. Plug in the numbers:
(3.14)(2^2)(8/3)
Simplify:
(3.14)(4)(2.66...)
Multiply:
(12.56)(2.66...) -> 39.4933...
Finally, 39.4933... is rounded to the tenths place:
39.5
Hope this helps :)
(PLEASE HURRY)
Milan borrowed money from a credit union for 6 years and was charged simple interest at an annual rate of 7%. The total interest that he paid was $3780. How much money did he borrow?
Answer:
$54000
Step-by-step explanation: 3780 divided by the number of years he paid interest for, (6) gives you 630. If he pays 7% interest, you calculate what number 630 is 7% of (9000.) Therefore he takes out 9000 dollars a year. Meaning that in total, he borrowed 54,000 dollars. (9000 x 6)
Factorise 14e-16
Please explain
The expression 14e - 16 is an algebraic expression, and the factored expression is 2(7e - 8)
How to factor the expression 14e - 16?The expression is given as:
14e - 16
Express both terms as a product of 2
14e - 16 = 2 * 7e - 2 * 8
Factor out 2 in the expression
14e - 16 = 2 * (7e - 8)
Remove the product sign
14e - 16 = 2(7e - 8)
Hence, the factored expression of 14e - 16 is 2(7e - 8)
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suppose f(x) =x . Find the graph of f(x)-4
Answer:
you just need two points to graph it.
x=0, you get y=0; which is the origin.
x=1, y=4.
you should get something like this:
Step-by-step explanation:
A local daycare is updating its marketing material. The owner wants to include the average age of children who currently attend the daycare. The current breakdown of children by age is located in the table below. Use this information to calculate the average age of children attending the daycare. Round to the nearest tenth.
Answer: n2.4
Step-by-step explanation:
Average age=6⋅1+4⋅2+3⋅3+5⋅46+4+3+5=4318=2.38888...=2.4
The average age of a child attending this daycare is 2.4 years old.
WRITE Mask Explain how you can prove that 3 weeks is
less than 24 days.
Answer:
7x3 = 21
Step-by-step explanation:
It's simple math. One week is 7 days. So just multiply 7x3 and then that's equaled to 21.
A loan has an APR of 8%. The maximum that Steve can pay back monthly on a loan is $129.60. He wants the loan for 1 year.
Answer:
$1,679.62
Step-by-step explanation:
129.60*12=$1,555.20
You then do 1,555.2*.08, and get:124.416
You then add the 2 together to find the amount needed to be paid back.
What is the following sum?
3 b squared (RootIndex 3 StartRoot 54 a EndRoot) + 3 (RootIndex 3 StartRoot 2 a b Superscript 6 Baseline EndRoot)
6 b squared (RootIndex 3 StartRoot 2 a EndRoot)
12 b squared (RootIndex 3 StartRoot 2 a EndRoot
6 b squared (RootIndex 6 StartRoot 2 a EndRoot)
12 b squared (RootIndex 6 StartRoot 2 a EndRoot)
[tex]12b^2\sqrt[3]{2a}[/tex]
In word form, this is 12 b squared (RootIndex 3 StartRoot 2 a EndRoot
Or you could say 12b^2 times the cube root of 2a
========================================================
Work Shown:
[tex]3b^2\sqrt[3]{54a}+3\sqrt[3]{2ab^6}\\\\3b^2\sqrt[3]{27*2a}+3\sqrt[3]{b^6*2a}\\\\3b^2\sqrt[3]{(3)^3*2a}+3\sqrt[3]{(b^2)^3*2a}\\\\3b^2\sqrt[3]{(3)^3}*\sqrt[3]{2a}+3\sqrt[3]{(b^2)^3}*\sqrt[3]{2a}\\\\3b^2*3*\sqrt[3]{2a}+3*b^2*\sqrt[3]{2a}\\\\9b^2\sqrt[3]{2a}+3b^2\sqrt[3]{2a}\\\\(9b^2+3b^2)\sqrt[3]{2a}\\\\\boldsymbol{12b^2\sqrt[3]{2a}}\\\\[/tex]
The idea here is that we break the cube roots into smaller pieces, so we pull out perfect cubes when factoring.
The sum of the expression is 12 b squared (Root Index 6 Start Root 2 a End Root) or 12b²∛(2a).
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
We have the expression,
3 b squared (Root Index 3 Start Root 54 a End Root) + 3 (Root Index 3 Start Root 2 a b Superscript 6 Baseline End Root).
In numerical form,
3b²∛(54a) + 3∛(2ab⁶)
To find the sum of the above expression:
we simplify the expression,
3b²∛(54a) + 3∛(2ab⁶)
= 3b²∛3³(2a) + 3∛(2a)(b²)³
= 9b²∛(2a) + 3b²∛(2a)
= 12b²∛(2a)
Therefore, the sum is 12b²∛(2a).
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Bashir bought snacks for his team's practice. He bought a bag of apples for $2.91 and a 6-pack of juice bottles. The total cost before tax was $15.69. Write and solve an equation which can be used to determine j j, how much each bottle of juice costs.
An equation that can be used to determine j j, each bottle of juice costs 15.69 = 6j + 2.91
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Bashir bought snacks for his team's practice. He bought a bag of apples for $2.91 and a 6-pack of juice bottles.
The total cost before tax was $15.69.
An equation that can be used to determine j j, is how much each bottle of juice costs.
15.69 = 6j + 2.91
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How many days are in 19 lunar calendar new years with an extra month added in seven times?
There are 6939.56 days in 19 lunar calendar new years with an extra month added in seven times.
What is lunar year?"A lunar year is 12 lunar months, so 19 of these would be 228 lunar months. With the 7 extra months, the total period would be 235 lunar months of 29.530589 days each and is 6939.69 days.
We will notice that this is almost the same as 19 solar years of 365.24 days, which is 6939.56 days.
Now, you are referring to the Hebrew Calendar, a 19-year period that consists of 12 years of 12 months plus 7 years of 13 months,
Therefore, 19 years is the period after which the Hebrew and solar calendar dates will match up."
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The half-life of Palladium-100 is 4 days. After 24 days a sample of Palladium-100 has been reduced to a mass of 1 mg. What was the initial mass (in mg) of the sample?
The given box plot represents the number of pictures taken by tourists on the same group tour. Which five-number summary represents this
data set?
Photographs Taken by Tourists
00
8
10
12
18
26 28
30 32
14 16 20 22 24
Number of Photographs
OA. 8, 16, 23, 28, 32
OB. 10, 16, 23, 28, 32
Ос. 10, 16, 22, 28, 32
OD. 8, 10, 16, 28, 32
Answer: b: 10, 16, 23, 28, 32
Step-by-step explanation:
Answer:
the answer is B
Step-by-step explanation:
its B !
-5 + 20m + 3 < 18m + 12
Answer:
m<7
m is greater than 7, i hope that helps
Answer:
m<7
Step-by-step explanation:
-5+20m+3<18m+12
Group like terms
20m-18m<12+5-3
2m<17-3
2m<14
2m÷2<14÷2
m<7
hope this helps *_*
pls brainliest
If D denotes the number of degree and G denotes the number of grades Prove D/9=G/10
Answer:because each answers eachother
Step-by-step explanation:
What’s 12 3/4+17/2+5 4/6
NO LINKS! Please help me with this problem.
#1
[tex]\\ \rm\Rrightarrow \dfrac{WX}{UV}=\dfrac{HI}{FE}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{WX}{16}=\dfrac{10}{8}[/tex]
[tex]\\ \rm\Rrightarrow WX/2=10[/tex]
[tex]\\ \rm\Rrightarrow WX=20[/tex]
Again
#2
[tex]\\ \rm\Rrightarrow \dfrac{WX}{UT}=\dfrac{HI}{FG}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{20}{20}=\dfrac{10}{FG}[/tex]
[tex]\\ \rm\Rrightarrow FG=10[/tex]
Answer:
WX = 20
FG = 10
Step-by-step explanation:
If EFGHI ~ VUTXW
then:
EF~VUFG~UTGH~TXHI~XWIE~WVThe only pair of sides that both have measures is EF and VU
EF = 8
VU = 16
VU/EF = 16/8 = 2
Therefore, VUTXW is enlargement of EFGHI by a scale factor of 2.
As HI = 10
⇒ WX = 10 × 2 = 20
As UT = 20
⇒ FG = 20 ÷ 2 = 10
If i subtract my number, then square the result, I get the same answer as if i square my number, then subtract 20 from the result
The Algebraic equations (x - 20)² and x² - 20 have an equal value My number is 6.
What is an Algebra equation?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
I think of a number, if I subtract 10 from my number, then square the result, I get the same answer as if I square my number, then subtract 20 from the result.
Let the number be x.
If I subtract 20 from my number that is x - 20 then square the result that is (x-20)².
And if I square my number that is x² then subtract 20 from the result that is x² - 20.
Both the result are the same then we have
(x - 20)² = x² - 20
x² - 20x + 100 = x² - 20
-20x + 100 = -20
x = 6
My number is 6
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Let f(t) ANSWER: 1+ = t² - 1 t+3 Find f'(1)
Answer:
f(1) = 3
Step-by-step explanation:
f(t) = t² - 1t + 3
we want to find f(1)
all we have to do is replace the t's with 1 and evaluate
f(1) = (1)² - 1(1) + 3
evaluate exponent 1² = 1
f(1) = 1 - 1(1) + 3
multiply
f(1) = 1 - 1 + 3
subtract
f(1) = 3
A college graduate invests $3,000 into an account that earns 6% annual interest compounded monthly. What is the value (in dollars) of
the investment after 5 years? (Round your answer to the nearest cent.)
Answer:
$4,014.68
Step-by-step explanation:
A = $4,014.68
A = P + I where
P (principal) = $3,000.00
I (interest) = $1,014.68
First, convert R as a percent to r as a decimal
r = R/100
r = 6/100
r = 0.06 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 3,000.00(1 + 0.06/1)^(1)(5)
A = 3,000.00(1 + 0.06)^(5)
A = $4,014.68
The chart below describes the speed of four runners. Which runner is the fastest?
Runner A ran 1 mile in 8 minutes
Runner B ran 2 miles in 10 minutes
Runner C ran 3 miles in 20 minutes
Runner D ran 5 miles in 30 minutes
Answer:
Runner B
Step-by-step explanation:
speed = distance ÷ time
Runner A: 1 ÷ 8 = 0.125m/ms
Runner B: 2 ÷ 10 = 0.2m/ms
Runner C: 3 ÷ 20 = 0.15m/ms
Runner D: 5 ÷ 30 = 0.17m/ms
Runner B has the highest speed so he is the fastest runner.
I already wrote the ordered pair. Just write how the number pairs are related.
Answer:
it is related by 35 because you are adding 35.
Step-by-step explanation:
What is the circumference of a circle with a radius of 11 cm? (Use = 3.14.)
A.
103.62 cm
B.
69.08 cm
C.
34.54 cm
D.
379.94 cm
First, we need to follow the circumference of a circle formula, which is [tex]C = 2 \pi r[/tex]. Since we know the radius, we can plug 11 for the radius and 3.14 for pi.
The equation should now look like this: [tex]C = 2 * 3.14 *11[/tex]. Then, we multiply. After solving, the circumference of the circle is 69.08 centimeters.
The perimeter of an equilateral triangle is 1/8 unit. What is the length, in units, of each side of the triangle
Answer:
[tex] {\longrightarrow \pmb{\sf {\qquad \frac{1}{24} }}} \\ \\[/tex]
[tex] \: [/tex]
Step-by-step explanation:
It is given that the perimeter of an equilateral triangle is 1/8 unit and we have to find the length of each side of the triangle.
So, we know that,
[tex] \\ {\longrightarrow \pmb{\sf {\qquad 3a = Perimeter_{(Equilateral triangle) }}}} \\ \\[/tex]
Now, substituting the given values in the formula :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad 3a = \frac{1}{8} }}} \\ \\[/tex]
By doing cross multiplication we get :
[tex]{\longrightarrow \pmb{\sf {\qquad 3a(8) = 1(1) }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad 24a = 1 }}} \\ \\[/tex]
Dividing both sides by 24 we get :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad \frac{24a}{24} = \frac{1}{24} }}} \\ \\[/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad a = \frac{1}{24} }}} \\ \\[/tex]
Therefore,
The length of each side of the triangle is 1/24 unitsNancy found that x=1 is one solution to the quadratic equation (x+2)2=a. What is the value of a?
-9
-3
3
9
Answer:
the answer is a
Step-by-step explanation:
i literaly just tookthetest on edginuity
Answer:
a = 9
Step-by-step explanation:
First we substitute 1 into the quadratic equation :
(x+2)² = a
(1+2)² = a
(3)² = a
3×3 = a
a = 9
Hope you understood, hope this helped and brainliest please.