Answer:
expression: y = 3.6x
for x = 11, then y = 39.6
Step-by-step explanation:
Direct variation uses the following equation:
y = kx
For each case, there will be an actual number instead of k.
We need to find which value of k our problem uses. We can use teh given x and y values, and solve for k.
y = kx, use x = 5 and y = 18, and solve for k
18 = k * 5
k = 18/5 = 3.6
In our case, k = 3.6, so the specific equation for direct varuiation for this problem is
y = 3.6x
Now we can find y when x = 11.
y = 3.6x
y = 3.6(11)
y = 39.6
PLVHGCHVBJGUYFTDCGVHJGYUJH
Answer:
The correct option is (B).
Step-by-step explanation:
The conditional probability of an event, say A is the probability of that events (A) when it is known that another event, say X has already occurred.
For example, consider the experiment of drawing two marbles from jar consisting of 8 white and 2 red, without replacement. The probability of selecting a red marble after a white marble is known as conditional probability.
In this case it is provided that:
40% of the students are licensed drivers55% students are female.The statement:
"the probability that a student who is a licensed driver is a male"
Is a statement of conditional probability.
This is because it is known from previous information that the student is a licensed driver and we need to determine the probability of this student being a male.
Thus, the correct option is (B).
Alyssa bought a paperweight in the shape of a cone. The radius was 10 centimeters and the height 9 centimeters. What's the volume of the paperweight?
Answer:
300 pi, 942, or 942.477... cm^3
Step-by-step explanation:
The volume of a cone can be found using the following formula.
V= 1/3* pi* r^2* h
We know that the radius is 10 centimeters and the height is 9 centimeters.
r= 10 cm
h= 9 cm
V= 1/3* pi * (10 cm)^2 * 9 cm
First, evaluate the exponent.
(10 cm)^2= 10 cm * 10 cm = 100 cm^2
V= 1/3 * pi * 100 cm^2 * 9 cm
In terms of pi:
To solve in terms of pi, multiply all the terms that are not pi together
V= (1/3* 100 cm^2*9cm)*pi
V= (1/3* 900 cm^3)*pi
V= (300 cm^3)* pi
V= 300 pi cm^3
Using 3.14 as pi
V= 300 pi cm^3
Substitute 3.14 in for pi
V= (300*3.14) cm^3
V= 942 cm^3
Using 3.14159265.... as pi
V= 300 pi cm^3
Use the pi button for pi
V= 942.477796076938 cm^3
The volume of the paperweight is 300 pi, 942, or 942.477796... cm^3
Answer:
942.5 cm³
Step-by-step explanation:
pi r²h/3
π(10)²(9)/3 = 942.5 cm³
An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression a x squared + b x + c. If x – 10 is a factor of x2 – 8x – 20, what is the other factor? x +
Answer:
The other factor is (x + 2).
Step-by-step explanation:
If x - 10 is a factor of x^2 - 8x - 20 then we must find another factor that includes +2x, so that we have -10x + 2x = -8x. That factor is (x + 2):
x^2 - 8x - 20 = (x - 10)(x + 2)
As a test, multiply -10 and +2. We get -20, matching the constant of the given polynomial. Also, -10x + 2x = -8x, another match.
Answer:
(x-12) and (x+12)
Step-by-step explanation:
John’s parents put $40 on his school account for lunch. Each day is a three dollars for lunch. Y represent the amount of money John has after x days in a school account.
Answer:
y = $40 - ($3/day)x
Step-by-step explanation:
y = $40 - ($3/day)x represents the amount of money John has left after x days.
PLZZ HELP!!! ⚠️⚠️ ATTACHED AND NEEDS DONE ASAP!
Answer:
The lorry is traveling at a speed of 13 m/s which is less than the speed limit of 13.89 m/s
Step-by-step explanation:
The limit here is 50km/h
The speed at which the lorry is traveling is 13.5m/s
So we want to show that the lorry is traveling at a speed which is below the speed limit.
What we need to do here is to convert the speed limit to the same unit at which the lorry is traveling
What we are saying here is that we need to convert km/h to m/s
Hence, we are converting 50 km/h to m/s
What we need to do here is to convert the km to m by multiplying by 1000 then covert the hour to seconds by multiplying by 3600(in this case the time is the denominator so we shall be dividing)
Thus 50 km/h = (50 * 1000)/3600 = 13.89 m/s
Since 13m/s is less than 13.89 m/s
Then the lorry is traveling below the stipulated speed limit
27 2/3 ×(81/16)-1/4
Answer: 2237/16
I'm really sorry if this is incorrect but this is how I calculated it :)
Answer:
[tex]27\frac{2}{3}\times \left(81/16\right)-1/4=139\frac{13}{16}[/tex]
Step-by-step explanation:
[tex]27\frac{2}{3}\times \left(81/16\right)-1/4\\\\=\frac{83}{3}\times \frac{81}{16}-\frac{1}{4}\\\\=\frac{2241}{16}-\frac{1}{4}\\\\=\frac{2241}{16}-\frac{4}{16}\\\\=\frac{2241-4}{16}\\\\=139\frac{13}{16}[/tex]
Best Regards!
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.
Find the solution of this system of equations shown on the graph.
Answer:
(0, 6)
Step-by-step explanation:
The solution is the point of intersection of the lines.
(0, 6)
H(x)=-5x^2+10x+15h(x)=−5x 2 +10x+15h, left parenthesis, x, right parenthesis, equals, minus, 5, x, squared, plus, 10, x, plus, 15 What is the height of the stone at the time it is thrown?
Answer:
15 units
Step-by-step explanation:
Given the equation which models the path of a stone as:
[tex]H(x)=-5x^2+10x+15[/tex]
At the time when the stone was thrown
x=0
Therefore:
[tex]H(0)=-5(0)^2+10(0)+15\\H(0)=15[/tex]
The height of the stone at the time it is thrown is 15 units.
A frog catches insects for his lunch. The frog likes to eat flies and mosquitoes in a certain ratio, which is shown in the diagram. The table shows the number of flies and the number of mosquitoes that the frog eats for two lunches. Based on the ratio, complete the missing values in the table.
There is no diagram attached, however...
Let's say there is a 1:3 ratio of boys to girls. If someone asks how many boys there are if there are 12 girls. Just do 12/3 to get 4 then 4 * 1 to get 4.
Hope this helps <3
Answer:
On monday the frog eats 15 frogs, and 35 mosquitoes. On tuesday the frog eats 6 flys and 14 mosquitoes.
Step-by-step explanation:
The frog eats 3 flies for every 7 mosquitoes.
The values in the table represent ratios that are equivalent to this rate.
If the frog eats 5 times as many flies, he also eats 5 times as many mosquitoes.
If the frog eats 2 times as many mosquitoes, he also eats 2 times as many flies.
Eva sees a dolphin 3.23.23, point, 2 meters below sea level and a bird \dfrac{47}{10} 10 47 start fraction, 47, divided by, 10, end fraction meters above sea level. Which of the expressions represents the vertical distance between the dolphin and the bird?
Answer:
47/10 - 3.2
Step-by-step explanation:
Given
Dolphin = 3.2
Bird = 47/10
Required
What is the vertical distance between both
Using a vertical scale;
Represent the bird "above sea level" position with positive and dolphin at "below sea level" position with negative.
The vertical distance between them is as follows;
Distance = +[Above The Sea] - [Below The Sea]
Distance = +47/10 - 3.2
Distance = 47/10 - 3.2
Hence, the vertical distance between both is 47/10 - 3.2
Consider this complex fraction. Which division problem is represented in the picture? Two-thirds divided by 3 and one-third 3 and one-third divided by (three-halves) 3 (two-thirds) 3 and one-third divided by 5
Answer:
This represents 3 and one-third divided by two-thirds because 10/3 = 3 and 1/3.
Answer:
It is 3 and 1/3 divided by 2/3. None of the choices given work.
Hope it helps <3
How many pounds is a 1,000 millimeters
Answer:pounds and millimeters are not compatible i don’t think
Step-by-step explanation:
Which of the following lines is parallel to x = 8? (2 points) 3y = 16 x = 7 x = y y = 8
Answer:
x = 7
Step-by-step explanation:
The line x = 7 must be parallel to the line x = 8 so that we have an undefined slope. To check a line parallel to x = 8, It should start with x = some number having an undefined slope.
Answer:
x = 7
Step-by-step explanation:
The vertical line x = 8 has an undefined slope.
For the line to be parallel to another line, it has to have the same slope.
x = 7 also has an undefined slope, and it is a vertical line. Therefore, it is parallel to line x = 8.
−6(x+7)=−4x−2 how many solutions
Answer: There is one solution, -20
Step-by-step explanation:
[tex]-6(x+7)=-4x-2\\\\Distribute\\\\-6x-42=-4x-2\\\\Add(6x)\\\\-42=2x-2\\\\Add(2)\\\\-40=2x\\\\x=-20[/tex]
There is one solution, -20
Hope it helps <3
Answer:
Only one solutionStep-by-step explanation:
Solution,
[tex] - 6(x + 7) = - 4x - 2[/tex]
Distribute -6 through the parentheses
[tex] - 6x - 42 = - 4x - 2[/tex]
Move variable to L.H.S and change its sign
[tex] - 6x + 4x - 42 = - 2[/tex]
Move constant to R.H.S and change its sign
[tex] - 6x + 4x = - 2 + 42[/tex]
Collect like terms
[tex] - 2x = - 2 + 42[/tex]
Calculate the sum
[tex] - 2 x = 40[/tex]
Divide both sides of the equation by - 2
[tex] \frac{ - 2x}{ - 2} = \frac{40}{ - 2} [/tex]
Calculate
[tex] x = - 20[/tex]
Hope this helps..
Good luck on your assignment..
A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second.
Answer:
It makes 360 / 60 = 6 revolutions per second. 6 revolutions is 12π radians.
Part A: Joel uses the incorrect expression 0.95(190)(0.8) to calculate that the computer will cost him a total of $144.40. Describe his error and write the correct expression. * Part B: How much will Joel pay for his tablet? Show your work on a separate piece of paper and upload the picture.
Answer:
Part A) The correct Expression : (1.05)(190)(0.8)
=> The error of Joel was that instead of adding the sales tax, he subtracted it.
Part B) $159.60
Step-by-step explanation:
Part A:
To calculate the computer cost, we need to find out the selling price first.
There's a discount of 20% so the selling price will be 100% - 20% = 80% =>80/100 = 0.8
So, We'll multiply the cost price by 0.8
=> (190)(0.8)
But, there is a sales tax of 5%
So, the selling price with cost price will be:
=> 100% + 5% = 105% => 105/100 = 1.05 (We'll multiply this too with the first equation that we made above)
So, the expression will be:
=> (1.05)(190)(0.8)
The error of Joel was that instead of adding the sales tax, he subtracted it.
Part B)
Joel will pay for the tablet:
=> (1.05)(190)(0.8) [We used the above expression]
=> $159.60
Which coordinate for points A' and B' would help prove that lines AB and A'B' are perpendicular?
Answer:
b
Step-by-step explanation:
Answer:
Step-by-step explanation:
it's b! now remember to breathe and relax a little. everything is going to be okay ♡
What is the difference of (Negative 3.4 x + 4.7) minus (3 + 2.9 x)
Answer:
The answer is
1.7 - 6.3xStep-by-step explanation:
- 3.4x + 4.7 - ( 3 + 2.9x)
Remove the bracket
That's
- 3.4x + 4.7 - 3 - 2.9x
Simplify
Group like terms
- 3.4x - 2.9x + 4.7 + 3
- 6.3x + 1.7
We have the final answer as
1.7 - 6.3xHope this helps you
Answer:
The answer is
1.7 - 6.3x
Step-by-step explanation:
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Which expression is equivalent to (–3y – x) – (5y – 8x)?
Answer:
-8y +7x
Step-by-step explanation:
(–3y – x) – (5y – 8x)Distribute
-3y -x -5y +8x
Combine like terms
-3y-5y -x+8x
-8y +7x
Define $g$ by $g(x)=5x-4$. If $g(x)=f^{-1}(x)-3$ and $f^{-1}(x)$ is the inverse of the function $f(x)=ax+b$, find $5a+5b$.
Answer:
2Step-by-step explanation:
Given g(x)=5x-4 and g(x)=f^{-1}(x)-3
Substituting g(x) = 5x-4 into the second equation we have;
5x-4 = f^{-1}(x)-3
f^{-1}(x) = 5x-4+3
f^{-1}(x) = 5x-1
To get f(x), let us first make y to be equal f^{-1}(x)
y = 5x-1
expressing x in terms of y to get f(x), we have;
5x = y+1
x = y/5+1/5
replacing y with x, we will have;
y = x/5 + 1/5
F(x) = x/5 + 1/5
Comparing x/5 + 1/5 with ax+b, a = 1/5 and b = 1/5
5a + 5b = 5(1/5)+ 5(1/5)
5a+5b = 1+1
5a+5b = 2
Simplify √2/3√2 A : 2 1/6 B: 2 5/6 C: 2 3/2 D: 2 1/3
Answer:
a
Step-by-step explanation:
PLEASE HELP IM ON A TIMER ALSO NOBODY ANSWERED SAME QUESTION LAST TIME IM REPOSTING -3.6-1.9t+1.2+5.1t
Answer: 3.2t - 2.4
Step-by-step explanation:
a bead shop sells their beads by the pound. A new shipment of beads weighing 2 pound is divided into 8 equal - sized bags. how many ounces of beads are in each bag?
Answer:
4 ounces per bag
Step-by-step explanation:
1. Divide 2 pounds into 8 bags (0.25)
2. To convert from pounds to ounces, multiply by 16 (4)
find the distance between the points (-2,6) and (-1,-3)
Answer:
[tex]\sqrt{82}[/tex]
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 2, 6) and (x₂, y₂ ) = (- 1, - 3)
d = [tex]\sqrt{(-1+2)^2+(-3-6)^2}[/tex]
= [tex]\sqrt{1^2+(-9)^2}[/tex]
= [tex]\sqrt{1+81}[/tex]
= [tex]\sqrt{82}[/tex] ≈ 9.06 ( to 2 dec. places )
Answer:
9.06
Step-by-step explanation:
(-2,6) and (-1,-3)
Distance =√(x2−x1)^2+(y2−y1)^2
√(−1−(−2))^2+(−3−6)^2
√(1)^2+(−3−6)^2
√(1)^2+(−9)^2
√1+81=
√82 ≈9.055385138137417
Can someone tell me what side b is? Thank youuu
Answer:
Hey there!
We can use sine B= b/c.
Plugging in the values, we have sine 69= b/60
b=56.01
Hope this helps :)
Answer:
The answer is
56.01mStep-by-step explanation:
To find side b we use sine
sin ∅ = opposite / hypotenuse
From the question
side c is the hypotenuse and
side b is the opposite
side c = 60m
B is 69°
So we have
sin 69 = b/c
sin 69 = b / 60
b = 60 sin 69
b = 56.0148
b = 56. 01m to 2 decimal places
Hope this helps you
help me i need it i will give brainlest
Answer:
a = 5.3
Step-by-step explanation:
Plug the length of the other two sides into the Pythagorean Theorem and solve.
a² + b² = c²
a² + 6² = 8²
a² + 36 = 64
a² = 28
a = √28
a = 5.291502622 ⇒ 5.3 (to the nearest tenth)
The length of "a" is 5.3.
Hope that helps.
Please answer this question now
Answer:
C. Acute
Step-by-step explanation:
Pythagorean theorem can be used to determine the type of triangle any 3 given sides can form.
This,
A right ∆ is formed if a² + b² = c²
An acute ∆ is formed if a² + b² > c²
An obtuse ∆ is formed if a² + b² < c²
Note: c is the longest side of any triangle.
Using the side lengths given:
9.2² + 15.1² ? 17.4²
84.64 + 228.01 ? 302.76
312.65 > 302.76
An acute triangle is formed because a² + b² > c²
A 20kg solution is 15% alcohol. How much water should I add to make an 8% alcohol solution?
Answer:
17.5 kg of water.
Step-by-step explanation:
The amount of alcohol in the 15% solution = 20*0.15 = 3kg.
If 3 kg is equivalent to 8% solution
then 100% is 3*100 / 8 = 37.5 kg.
So the amount of water to be added to make 8% solution = 37.5 - 20
= 17.5 kg.
What is the product of (2p + 7)(3p2 + 4p – 3)?
Answer:
The product of the polynomials is 6p³ + 29p² + 22p - 21
Step-by-step explanation:
(2p + 7)(3p² + 4p - 3)
Use the foil method to multiply.
6p³ + 8p² - 6p + 21p² + 28p - 21
Combine like terms. Make sure you put the equation in standard form. This means that the exponential numbers will be ordered in descending form.
6p³ + 29p² + 22p - 21
