Answer:
Step 2
Step-by-step explanation:
Michelle's step in trying to solve the equation is given below:
[tex]\begin{aligned} t-\dfrac35&=\dfrac45\\\\ t-\dfrac35+\dfrac35&=\dfrac45+\dfrac35&\green{\text{Step } 1}\\\\ t&=1&\blue{\text{Step } 2} \end{aligned}[/tex]
Michelle made a mistake in Step 2.
The right hand side of Step 1: [tex]\dfrac45+\dfrac35\neq 1[/tex]
Rather, the correct sum is:
[tex]\dfrac45+\dfrac35=\dfrac75\\\\=1\dfrac25[/tex]
Answer:
Its 1/5
Step-by-step explanation:
Khan
What is the total surface area of the cylinder to the nearest square inch ? Use 3.14 for pi
Answer:
1,300.62
Step-by-step explanation:
The formula for a cylinder is A= 2 pi r h +2 pi r^2
can anyone help me find the volume? i will help you be the brainliest!!
Answer:
6,912....
Step-by-step explanation:
6 times 12 times 6 time 4 times 4 = 6,912
Answer:
= 360 ft³
Step-by-step explanation:
Rectangular prism
Volume = length x width x height
V = l x w x h
V = 12 x 6 x 4
V = 288 ft³
Triangular prism
Volume = 1/2 x base x height x length
V = 1/2 x 6 x 4 x 6 ( the width of the rectangular prism is the base of the triangular prism)
V = 1/2 x 144
V = 72 ft³
ADD BOTH VOLUMES
= 288 + 72
= 360 ft³
please answer both questions!! will mark brainly
Answer:
m=2
mean is 13
13 POINTS!!!
In ΔJKL, j = 74 inches, k = 14 inches and l=67 inches. Find the measure of ∠L to the nearest degree.
Answer:
55°
Step-by-step explanation:
Using cosine law
67² = 74² + 14² - 2(74)(14)cos(L)
cos(L) = 169/396
L =55.18378419
The measure of angle L to the nearest degree is 55°.
What is Law of Cosines?Law of cosines of triangle states that for three length of sides of the triangle, a, b and c opposite to the angles A, B and C respectively can be related as,
a² = b² + c² - 2bc cos(A)
Given, for a triangle JKL,
j = 74 inches, k = 14 inches and l = 67 inches.
We can use law of cosines to find the measure of angle L.
Using the law of cosines,
l² = j² + k² - 2jk cos(L)
67² = 74² + 14² - (2×74×14) cos(L)
4489 = 5476 + 196 - 2072 cos(L)
4489 = 5672 - 2072 cos(L)
-1183 = - 2072 cos(L)
cos (L) = 0.5709
L = 55.18° ≈ 55°
Hence the measure of angle L is 55°.
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2.5 kg of potatoes cost £1.40
Work out the cost of 4.25 kg of potatoes.
5.95
Answer:
£2.38
Step-by-step explanation:
Write and solve an equation of ratios:
£1.40 2.5 kg
----------- = ------------
c 4.25 kg
Cross multiplying, we get:
(£1.40)(4.25 kg) = (2.5 kg*c), or
(£1.40)(4.25 kg)
c = -------------------------- = £2.38
2.5 kg
A grain silo has the dimensions shown. (height of 60, diameter of 20). The top of the silo is a hemispherical shape. Find the volume of the grain silo.
Answer:
[tex]20943.96 ft^3[/tex]
Step-by-step explanation:
The silo is shaped as a cylinder with a hemisphere on top of it.
We need to find the volume of the shape.
The volume of a cylinder is given as:
[tex]V = \pi r^2h[/tex]
where r = radius
h = height
The volume of a hemisphere is given as:
[tex]V = \frac{2}{3} \pi r^3[/tex]
where r = radius
Therefore, the joint volume of both shapes is:
[tex]V = \pi r^2h + \frac{2}{3} \pi r^3[/tex]
The height of the silo is 60 and the diameter is 20.
This means that the radius is 10.
The cylindrical part of the silo and the hemispherical part have the same radius, 10.
The volume of the silo is:
[tex]V = \pi * 10^2 * 60 + \frac{2}{3} * \pi * 10^3\\ \\V = 18849.56 + 2094.40\\\\V = 20943.96 ft^3[/tex]
The volume of the silo is [tex]20943.96 ft^3[/tex]
Maxine and Sammie have the same size lawn. Maxine can mow the lawn in 24 minutes and Sammie can mow the lawn in 36 minutes. At what time will Sammie have twice as much lawn to mow as Maxine?
Maxine and Sammie have to also mow their parking strips that are the same size. Maxine can mow the parking strip in 6 minutes and Sammie can mow the parking strip in 9 minutes. At what time will Sammie have twice as much grass to mow as Maxine?
Answer: A) 18.2 minutes
B) 4.5 minutes.
Step-by-step explanation:
A) Maxine can mow one lawn in 24 minutes, so the rate of work is:
1/24 of the lawn per minute.
Sammie can mow one lanw in 36 minutes, so the rate of work is:
1/36 of the lawn per minute.
The amount of the lawn that each has left to lawn by the minute x is:
Maxine = 1 -(1/24)*x
Sammie = 1 - (1/36)*x
we want to find the value of x such that:
2*(1 - (1/24)*x) = 1 - *(1/36)*x
which means that the amount that Sammie has left is two times the amount that Maxine has left to mow.
2 - (1/12)*x = 1 - (1/36)*x
2 - 1 = (1/12 - 1/36)*x
1/0.055 = x = 18.2
by the minute 18.2
B) Similar to before, here the rates are:
For Maxine, R = 1/6
For Sammie, R = 1/9
The amount they have left to mow by minute x is:
Maxine = 1 - (1/6)*x
Sammie = 1 - (1/9)*x
We want to solve, similar to before.
2( 1 - (1/6)*x) = 1 - (1/9)*x
2 - (1/3)*x = 1 - (1/9)*x
2 - 1 = (1/3 - 1/9)*x
1 = (2/9)*x
1*9/2 = x = 4.5
So here the solution is 4.5 minutes.
Answer:
`He will never have more grass to maw than Maxine because they do the strips the same size, and their yard is the same size, so they never have more to mow than the other person.
Explanation:
May you pls mark me as brainliest I am new to the program.
What is the slope of the line shown below?
Answer:
2
Step-by-step explanation:
Slope is often called rise/run.
This is the amount the line goes upwards, rise, compared to the amount it goes sideways, run.
Compare the two shown points. From the left point the the right, the rise is 6, while the run is 3, creating the rise/run of 6/3. This is simplified to 2.
Answer:
C
Step-by-step explanation:
For circle P , find QN if LM = ON = 7.
A.
3.5
B.
7.5
C.
14
D.
21
Answer:
A
Step-by-step explanation:
You are just going to have to divide the 7 which gives you 3.5
A pond is initially stocked with 1000 catfish, and the fish population is then sampled each month to estimate its size. It is determined to be increasing at a rate of 1.5% each month. What is the projected population after one year?Which function represents exponential decay?
Answer:
A year is 12 months long. 1.5 percent each month would total 18 percent in a year. 18 percent of 1000 is 180. The final number of fish is 1180
Step-by-step explanation:
The distributive property can be applied to which expression to factor 12x3 – 9x2 + 4x – 3?
Answer:
3x2(4x – 3) + 1(4x – 3)
Step-by-step explanation:
2p^2+p-4=0
Can someone please help and show how you did it I am not understanding this thank you so much
See the attached picture:
The Duquesne Incline in Pittsburgh, Pennsylvania, has an angle of elevation of 30º. The track has a length of about 800 feet. Find the height of the incline.
The height of the Duquesne Incline in Pittsburgh, Pennsylvania, is approximately 400 feet.
To find the height of the incline, we can use trigonometry, specifically the sine function.
Let's consider the triangle formed by the incline track, where:
The angle of elevation (angle between the incline track and the ground) is 30 degrees.
The length of the incline track (base of the triangle) is about 800 feet.
We want to find the height of the incline (the side of the triangle opposite the 30-degree angle).
Using the sine function, we have:
[tex]sin(angle) = opposite\ side / hypotenuse[/tex]
In this case, the angle is 30 degrees, the opposite side is the height (h) of the incline, and the hypotenuse is the length of the incline track (800 feet).
So, the equation becomes:
[tex]sin(30^o) = h / 800[/tex]
h = 800 * 0.5
h = 400 feet
Therefore, the height of the incline is approximately 400 feet.
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You roll two six-sided dice. What is the probability that the sum is odd or a multiple of 5? Round your answer to the nearest tenth of a percent.
Answer:
The probability that the sum is odd or a multiple of 5
P(E₁∪E₂) = 0.58 = 58%
Step-by-step explanation:
Step ( i ) :-
Given the two dice are thrown ,The total number of exhaustive cases
n(S) = 6² = 36
Let 'E₁' be the event of getting the sum is odd on two dice
E₁ = { (1,2)(1,4),(1,6),(2,1),(2,3),(2,5),(3,2)(3,4),(3,6),(4,1)(4,3),(4,5),(5,2),(5,4),(5,6),(6,1),(6,3),(6,5)}
n(E₁) = 18
Let 'E₂' be the event of getting the sum is multiple of 5 on two dice
E₂ = { (1,4),(2,3), (3,2),(4,1),(4,6),(5,5),(6,4)}
n(E₂) = 7
n(E₁∩E₂) = {(1,4),(2,3),(3,2),(4,1)} = 4
Step(ii):-
The probability that the event of getting the sum is odd on two dice
[tex]P(E_{1}) = \frac{n(E)}{n(S)} = \frac{18}{36}[/tex]
The probability that the event of getting the sum is multiple of '5' on two dice
[tex]P(E_{2}) = \frac{n(E_{2} )}{n(S)} = \frac{7}{36}[/tex]
The probability that the event of getting the sum is odd and multiple of '5' on two dice
[tex]P(E_{1} n E_{2}) = \frac{n(E_{1} n E_{2} )}{n(S)} = \frac{4}{36}[/tex]
The probability that the sum is odd or a multiple of 5
P(E₁∪E₂) = P(E₁) + p(E₂) - P(E₁ ∩ E₂)
= [tex]\frac{18}{36} + \frac{7}{36} - \frac{4}{36}[/tex]
[tex]\frac{18+7}{36} - \frac{4}{36} = \frac{25-4}{36} = \frac{21}{36}[/tex]
P(E₁∪E₂) = 0.58 = 58%
Final answer:-
The probability that the sum is odd or a multiple of 5
P(E₁∪E₂) = 0.58 = 58%
The probability that the sum is odd or a multiple of 5 is 56 %.
Probability :When two dice are rolled, then
Total number of outcomes is [tex]=6^{2}=36[/tex]
Outcomes for the sum is odd or a multiple of 5 ,
[tex](1,2),(2,1),(2,3),(3,2),(1,4),(4,1),(1,6),(6,1),(2,5),(5,2),(3,4)\\\\(4,3),(3,6),(6,3),(4,5),(5,4),(6,5),(5,6),(4,6),(6,4)[/tex]
Number of favourable outcomes are [tex]=20[/tex]
the probability that the sum is odd or a multiple of 5 is,
[tex]P(E)=\frac{20}{36} =0.56[/tex]
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The age of the volunteers at a local food bank are 34, 25, 24, 50, 18, 46, 43, 36, 32. What is the median for the data set?
It is 34
First you have to order all of the number from least to greatest:
18 24 25 32 34 36 43 46 50
Then you cross out a number from each side, until you are left with the last number, which is the median. In this case your answer is 34.
Find the area of the triangle. Pls help!
Answer:
84 mm^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 b *h
The base is 14 and the height is 12
A = 1/2 (14*12)
A = 84 mm ^2
Area of a triangle formula: A = 1/2bh
Solve using the values given in the picture.
A = 1/2(14)(12)
A = 1/2(168)
A = 84
Therefore, the volume of the triangle is 84mm²
Best of Luck!
Write the number for seventy-five million three hundred thousand
The answer is 75,300,000 hope this helps.
why is tesla stock increasing/decreasing in value
Answer:
elon musk
Step-by-step explanation:
elon sends out random, uncalled for tweets, which mess with the stock value.
For example, when the stock was very high, he tweeted,"Tesla stock too high"
I don’t understand this question please help
Answer:
Between 3² and 4⁴
Between 3 and 4
Step-by-step explanation:
Number 15 is between between 3² and 4⁴
While √15 = 3.8 72 is between 3 and 4.
Which of the figures is not a net for a cube? Explain.
Train A has a speed 20 miles per hour greater than that of train B. If train A travels 270 miles in the same times train B travels 210 miles, what are the speeds of the two trains?
Answer:
speed of train A = 70 + 20 = 90 miles per hour
speed of train B = 70 miles per hour
Step-by-step explanation:
Let
speed of train B = a
speed of train A = a + 20
Recall
speed = distance/time
The travel time is same for both train. Therefore, let us make time subject of the formula in the speed equation.
Time = distance/speed
270/a + 20 = 210/a
cross multiply
270a = 210(a + 20)
270a = 210a + 4200
270a - 210a = 4200
60a = 4200
divide both sides by 60
a = 4200/60
a = 70
speed of train A = 70 + 20 = 90 miles per hour
speed of train B = 70 miles per hour
At a cafe, the Bishop family pays $12 for a salad, a fruit bowl, and two sandwiches. The Cortez family pays $14 for two salads
and two sandwiches The Donovan family pays $14 for a salad and three fruit bowls What is the price of a fruit bowl at the
cafe?
Answer: The price of a fruit bowl at the cafe is $3
Step-by-step explanation:
$3 in the price of a Fruit bowl at the cafe.
What is the price of a fruit bowl at the cafe?
According to the given In the question,
Let,
price of a Salad = Sl
price of a fruit bowl = Fb
Fb price of a sandwich = Sd
Sl + Fb+sd=$12 ..1
2 SI + 2 Sd = $14 ..2
Sl + 3Pb Fb = $14 ..3
from equation 2
Sl = 7 - Sd
from equation 3
7 - Sd + 3Fb = 14
Sd = 3Fb - 7
from equation 1
14- 3Fb+Fb+ 2(3Fb-7)=12
14- 2 Pb +6Fb-14=12
4Fb = 12
Fb = 3
Problem-solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.
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A cell phone and phone case cost $110 in total. The cell phone costs $100 more than the phone case. How much was the cell phone?
Answer:
105
Step-by-step explanation:
if both together cost $110
and the cell phone cost 100 more than the phone case, we need to find the cost for the phonecase
and it's 105
hope this helped:D
brainliest is appreciated if u want
Answer:
$105 r e
Step-by-step explanation:
Linda earns $5.25 and spent $3.75 one week the next week she earned $4.40 and spent $2.25 how much money did Linda have left after these two weeks
Total what she made.
5.25 + 4.40 = 9.65
Total what she spent:
3.75 + 2.25 = 6.00
Subra to the amount spent from the amount earned:
9.65 -6.00 = 3.65
She has $3.65 left
Please Help me. I provided 2 pictures.
Answer:
ya switch the the 1st one and the last one
Step-by-step explanation:
I need help guys . Anyone help me ?
Answer:
2:3
Step-by-step explanation:
15/25 are girls
10/25 are boys
10/25 to 15/25
2/5 : 3/5
2:3
Find the cosine of angle A (written as a fraction)
Answer: 0.92
Step-by-step explanation: cos a = side adj / hypotenuse
Cos a = 12/13 ~ 0.92307
plzWegnerkolmp2741o helpme plzzzzzzzzzz
Answer:
y = -2 +sqrt(7)
y = -2 - sqrt(7)
Step-by-step explanation:
y^2 +4y +4 = 7
Factor, recognizing that this is the sum of squares
a^2 +2ab+b^2 = (a+b)^2
(y+2) ^2 = 7
Take the square root of each side
sqrt((y+2) ^2) =± sqrt(7)
y+2 = ± sqrt(7)
Subtract 2 from each side
y+2-2 = -2 ± sqrt(7)
y = -2 ± sqrt(7)
Answer:
C)
Step-by-step explanation:
-2+sqrt(7) ≈ 0.649
-2-sqrt(7) ≈ -4.646
each are x-intercepts
32, 28, 21, 31, 18
Is 18 an outlier or no?
Answer:
No because 21 is close to it.
Step-by-step explanation:
To be considered an outlier, it would need to be a farther distance such as the distance from 28 to 21.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Answer:
No. it's close to 21.
Step-by-step explanation:
There's a formula for fidning out if something is an outlier or not but i forgot, pff, look it up :P
5x to the power of 2 =25x to the power of 2
Answer:
1:5
Step-by-step explanation:
5x² = 25x²
Divide both sides by 5x²
5x²/5x² = 25x²/5x²
1:5
