Answers
Answer:
27 years old
Step-by-step explanation:
let Sydney's age be x, then
Devaughn's age is 3x ( three times Sydney's )
The sum of their ages is 108, thus
x + 3x = 108
4x = 108 ( divide both sides by 4 )
x = 27
Sydney is 27 years old
Answer:
I think it would be 27
Related Questions
Which graph does it represent a function?
Answers
Answer:
The graph in the bottom right (The circle) is not a function
Step-by-step explanation:
As the circle has multiple y values for each x value, it is not a function. In other words, that graph fails the vertical line test.
Answer:
IV graph
Step-by-step explanation:
Function: It is relation between x and y.For each x, there is a unique value of y.
Only one output for one input.
One value of x cannot have more than one images.
Vertical line test:
When we draw a vertical line passing through any given value of x and cut the curve more than one points then, the curve does not represents the function.
When a vertical line cuts the curve at one point then, the curve represents the function.
In I graph, We can see that
Image of 1 is 2.
Image of 2 is 1.
Image of -2 is 1.
There is only one output for input.
Hence, it represents the function.
In II graph,
By vertical line test, when we draw a vertical line x=1 then it cuts the graph at one point only.
Hence, it represents the function.
In III graph,
Image of 1 is 1.
Image of 0 is 2.
Image of -1 is 3.
Image of -2 is 4.
There is only one output for 1 input.
Hence, it represents the function.
In IV graph,
When we draw a vertical line x=1 then , it cuts the curve at two points.
Therefore, given circle does not represents the function.
write an algebraic expression for this word problem. An orange contains 62 calories which is x fewer calories than a nectarine. How many calories does a nectarine have?
Answers
Answer:
n = 62 + x
Step-by-step explanation:
From the problem given, it is clear that the orange has LESS calories than a nectarine. HOW much less? "x" less.
Also, orange has 62 calories. So, nectarine MUST HAVE 62 + x calories.
If we let nectarine's calories be n, we can write:
n = 62 + x
I WILL GIVE A FREAKING BRAINLIEST!!!!!!!!!!!
JUST ANSWER THE QUESTION PLEEEEEEAAAAAASSSSSSEEEEEEE!!!!!!!!!!!!
A basketball is thrown upwards. The height f(t), in feet, of the basketball at time t, in seconds, is given by the following function:
f(t) = −16t2 + 16t + 32
Which of the following is a reasonable domain of the graph of the function when the basketball falls from its maximum height to the ground?
0.5 < t < 1
0.5 < t < 2
1 < t < 2
1 < t < 1.5
Answers
Answer:
0.5 < t < 2
Step-by-step explanation:
The function reaches its maximum height at ...
t = -b/(2a) = -16/(2(-16)) = 1/2 . . . . . . where a=-16, b=16, c=32 are the coefficients of f(t)
The function can be factored to find the zeros.
f(t) = -16(t^2 -1 -2) = -16(t -2)(t +1)
The factors are zero for ...
x = -1 and x = +2
The ball is falling from its maximum height during the period (0.5, 2), so that is a reasonable domain if you're only interested in the period when the ball is falling.
2. Determine the sum of the first 400 ODD numbers.
Answers
Odd numbers take the form [tex]2n-1[/tex], where [tex]n\ge1[/tex] is an integer. When [tex]n=400[/tex], the last odd number would be 799. So we're adding
[tex]S=1+3+5+\cdots+795+797+799[/tex]
By reversing the order of terms, we have
[tex]S=799+797+795+\cdots+5+3+1[/tex]
and we can pair up terms in both sums at the same position to write
[tex]2S=(1+799)+(3+797)+(5+795)+\cdots(795+5)+(797+3)+(799+1)[/tex]
so that we are basically adding 400 copies of 800, and from there we can find the value of the sum right away:
[tex]2S=400\cdot800\implies S=160,000[/tex]
###
We could also make use of the formulas,
[tex]\displaystyle\sum_{i=1}^n1=n[/tex]
[tex]\displaystyle\sum_{i=1}^ni=\dfrac{n(n+1)}2[/tex]
We have
[tex]S=\displaystyle\sum_{i=1}^{400}(2i-1)=2\sum_{i=1}^{400}i-\sum_{i=1}^{400}1=400(400+1)-400=400^2=160,000[/tex]
In the diagram below , tan theta =square root 3. What is the value of m?
Answers
Answer:
[tex]m=\frac{\sqrt{3}}{2}[/tex]
Step-by-step explanation:
we know that
In the diagram
[tex]tan(\theta)=\frac{m}{1/2}=2m[/tex]
[tex]tan(\theta)=\sqrt{3}[/tex]
Equate
[tex]2m=\sqrt{3}[/tex]
[tex]m=\frac{\sqrt{3}}{2}[/tex]
Answer:
B
Step-by-step explanation:
Option B on edge
Which graph represents y= 3 sqrt x-5?
Answers
Answer:
Unfortunately, your picture doesn't show all the graphs of the possible answers.
However, the graph should look like the one I attached, passing by the (5,0) point. Which is logic since a value of 5 for x would make the y the cubic root of 0... which is 0.
When trying to identify a graph of a formula, always try to see which values of x could make y = 0 or what would happen to y if x = 0, that will always give you a pretty good idea of which graph to choose from.
Answer:D
Step-by-step explanation:
BRAINLIEST + POINTS!
A force of 100 newtons will stretch a spring 0.25 meters. How far will a force of 80 newtons stretch it?
Use Hooke's law F = kx.
A.
0.04 meters
B.
0.2 meters
C.
0.4 meters
D.
2 meters
Answers
I set up an equal proportion [tex]\frac{100}{0.25} = \frac{80}{x}[/tex]
cross multiply to get 80 * 0.25 = 100x
20 = 100x; divide both sides by 100
0.2 = x so the answer is choice B
Answer:
B. 0.2 meters.
Step-by-step explanation:
Let x represent meters of spring stretched by 80 newtons.
We have been given that a force of 100 newtons will stretch a spring 0.25 meters.
We will use Hooke's law, which states that the force needed to compress or extend a spring is directly proportional to the distance we stretch it.[tex]N=kx[/tex], where,
N = Force in Newtons,
k = The spring constant,
x = Amount of extension in meters.
Let us find spring constant by substituting [tex]N=100[/tex] and [tex]x=0.25[/tex].
[tex]100=k*0.25[/tex]
[tex]\frac{100}{0.25}=\frac{k*0.25}{0.25}[/tex]
[tex]400=k[/tex]
So, our equation would be [tex]N=400x[/tex].
Now, we will substitute [tex]N=80[/tex] in our equation to find x.
[tex]80=400x[/tex]
Upon dividing both sides of our equation by 400 we will get,
[tex]\frac{80}{400}=\frac{400x}{400}[/tex]
[tex]\frac{1}{5}=x[/tex]
[tex]0.2=x[/tex]
Therefore, the force of 80 newtons will stretch the spring 0.2 meters and option B is the correct choice.
Some of the children at a school arrrive by car.
60% of the children at the school are boys.
20% of the boys at the school arrive by car.
60% of the girls at the school arrive by car.
What’s the probability that a child chosen at random from the school arrives by car? (Give your answer as a decimal)
Answers
Answer:
0.36
Step-by-step explanation:
Percentage of boys = 60%
Percentage of girls = 100 - 60 = 40%
Percentage of boys that arrive by car
= 20% of 60%
= 0.2 x 60 = 12%
Percentage of girls that arrive by car
= 60% of 40%
= 0.6 x 40
= 24%
Total Percentage of children arrive by car
= 12 + 24
= 36%
P(Arrive by car)
= 36%
= 0.36
Combine the like terms to create an equivalent expression: −4y−4+(−3)
Answers
Answer:
-4y -7
Step-by-step explanation:
−4y−4+(−3)
The terms -4 and -3 are the like terms. When we add them together we get
-4 +-3 = -7
-4y + -7
or -4y -7
Final answer:
To combine like terms in the expression −4y−4+(−3), you combine the constants −4 and −3 to get −4y - 7.
Explanation:
To combine the like terms in the expression −4y−4+(−3), let's first identify the like terms. Here, since we only have one variable term −4y, it doesn't combine with any other, but we do have constant terms that we can combine: −4 and (−3).
When combining these constants, we treat the parentheses as a multiplication by -1 due to the negative sign in front of the 3. Thus, the expression becomes:
−4y − 4 − 3
Now we simply combine the constants:
−4y - 7
So the equivalent expression after combining like terms is −4y - 7.
help me pleaseeeeeeeeeeeeee
Answers
Answer:
Final answer is Volume = 60 cubic centimeters.
Step-by-step explanation:
Given that area of the base of the given picture = 10 square centimeters.
Given that height of the given picture = 6 centimeters.
Now we need to find the volume of the given solid.
So we just need to multiply the base area with the height to get the volume.
Volume = (Area of base) ( height)
Volume = (10 square centimeters) ( 6 centimeters)
Volume = 60 cubic centimeters
Hence final answer is Volume = 60 cubic centimeters.
Almost done need help
Answers
Answer:
[tex]x=37[/tex]
Step-by-step explanation:
Use the alternating interior angles theorem.
It states that alternating interior angles are congruent.
Therefore,
[tex]3x+4=115 \\ \\ 3x=111 \\ \\ x=37[/tex]
Need help with this
Answers
Answer:
12.25 ounces
Step-by-step explanation:
There are 7 toys, each weighs 1 3/4 ounces.You do 1 3/4 times 7 to get the total weight.
Answer:
The bag would weigh 12 1/4 ounces.
Step-by-step explanation:
a rectangular computer screen has an area of A square inches. the width of the computer screen is 7 inches. which equation x, the length of the computer screen in inches?
Answers
The question is not perfectly clear, but I assume you're asking something like this:
in a rectangle, the area is given by [tex]A=wl[/tex]
where A is the area, w is the width and l is the length.
So, if we know that the width is 7 and we let x be the length of the rectangle, we have
[tex]A=7x[/tex]
If you need to solve this for x, divide both sides by 7:
[tex]x=\dfrac{A}{7}[/tex]
The length of a rectangular computer screen can be determined by the equation x = A / 7.
To find the length of a rectangular computer screen given its area (A) and width (7 inches), you can use the formula for the area of a rectangle:
Area = Length × Width
Given:
Area = A square inches
Width = 7 inches
We need to find the length, denoted by x. By rearranging the area formula, we get:
x = Area / Width
Substitute the given values:
x = A / 7
Therefore, the length of the computer screen in inches can be found using the equation x = A / 7.
A deli has five types of meat, two types of cheese,
and three types of bread. How many different
sandwiches, consisting of one type of meat one
type of cheese, and one type of bread, does the deli
serve?
* A25
C) 30
B)--75
D) 10
Answers
Answer:
Step-by-step explanation:
A farmer grows vegetables on seven acres, fruit on six acres, and flowers on two acres. Out in his fields, he finds a ladybug. To the nearest tenth of a percent, what is the theoretical probability that the ladybug was not found within the acres of flowers? 13.3% 15.4% 84.6% 86.7%
Answers
Answer:
Option D : 86.7% is the answer.
Step-by-step explanation:
Given information is :
A farmer grows vegetables on 7 acres of land.
He grows fruit on 6 acres of land.
And he grows flowers on 2 acres of land.
Total farming acres are = [tex]7+6+2=15[/tex] acres.
Now, we have to find what the theoretical probability that the ladybug was not found within the acres of flowers. This means it was not found in 2 acres of land. It must have been in 13 acres of land.
So, probability will be : [tex]\frac{13}{15} \times100[/tex] = 86.66% ≈86.7%
Therefore, option D is the answer.
Answer: d
Step-by-step explanation:
Which of the following statements is AlWAYS TRUE when parallel lines are cut by a transversal?
(A) The sum of the degree measure of complementary angles is 180 degrees.
(B) The sum of the degree measure of corresponding angles is 180 degrees.
(C) Corresponding angles are congruent.
(D) The angles in a vertical pair are acute
Answers
Answer:
c
Step-by-step explanation:
a and b ar out because suplementry angels are 180 so its just c and d
When parallel line are cut by a traversal line,
Then corresponding angles are congruent.
What are parallel lines?Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other.
Given:
The parallel lines are cut by a traversal line.
(A) The sum of the degree measure of complementary angles is 180 degrees.
This is a contradictory statement.
Because, the sum of the degree measure of supplementary angles is 180 degrees.
(B) The sum of the degree measure of corresponding angles is 180 degrees.
This is a contradictory statement.
Because, the sum of the degree measure of supplementary angles is 180 degrees.
(C) Corresponding angles are congruent.
This is a true statement.
(D) The angles in a vertical pair are acute
This is also ca contradictory statement.
Therefore, corresponding angles are congruent.
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Tennis balls with a 3 inch Diameter are sold in cans of three. The can is a cylinder
A)what is the volume of one tennis ball ?
B)what is the volume of the cylinder ?
C)how much space is not occupied by the tennis balls in the can?
Answers
Answer:
Step-by-step explanation:
A) The equation for the volume of a sphere is [tex]V=\frac{4}{3} \pi r^{3}[/tex]
As the diameter of each ball is 3 inches, that would mean that the radius of each is 1.5 inches.
Now we can plug our value into the equation
[tex]V=\frac{4}{3} \pi (1.5)^{3}[/tex]
This would simplify to
V = 14.12716694 [tex] in^{3}[/tex]
B) The equation for the volume of a cylinder is [tex]V=d\pi h[/tex]
As there are 3 balls in a container and the diameter of each is 3, that would mean that the height is 9 inches
Now we can plug in our values into the equation
[tex]V = (3)(9)\pi[/tex]
This would mean that this equation would simplify to
[tex]V = [/tex] 27\pi [tex]in^{3}[/tex]
C) To find the empty space, we must take the total volume, the volume of the cylinder, and subtract the volume of the tennis balls
This would mean that the equation would look like this
[tex](27\pi)-(3(\frac{4}{3} \pi (1.5)^{3})) [/tex]
This would simplify to
42.41150082 [tex]in^{3}[/tex] of empty space.
Answer:
The volume of each tennis vall is 14.13 cubic inches, approximately.The volume of each can is 63.59 cubic inches, approximately.There are 49.46 cubic inches of empty space between the tennis balls and the cans.Step-by-step explanation:
Givens
The diameter of each ball is 3 inches long.They are sold in cans of three, that is, each can contains 3 tennis balls.Each can has cylinder form.First, we find the volum of each tennis ball.
Notice that they have spherical form, so their volume is defined by
[tex]V=\frac{4}{3} \pi r^{3}[/tex]
Where [tex]r=\frac{d}{2}=\frac{3 in }{2}=1.5in[/tex]
Replacing the radius and using [tex]\pi \approx 3.14[/tex], we have
[tex]V=\frac{4}{3}(3.14)(1.5in)^{3}=14.13 \ in^{3}[/tex]
Therefore, the volume of each tennis vall is 14.13 cubic inches, approximately.
Assuming that the diameter of each ball is congruent with the diameter of the can, we have the volume of a cylinder defined by
[tex]V=\pi r^{2}h[/tex]
Where, [tex]r=1.5in[/tex] and [tex]h= 3(3in)=9in[/tex], because each can has three balls, and the height is the sum of all three diameters.
Replacing, we have
[tex]V=3.14(1.5in)^{2} (9in)=63.59 in^{3}[/tex]
Therefore, the volume of each can is 63.59 cubic inches, approximately.
Now, notice that between the can and the tennis balls thereis empty space, because balls are spherical and cans are cylindric.
Let's find the difference between their volumes:
[tex]V_{empy}=63.59-14.13= 49.46 in^{3}[/tex]
Therefore, there are 49.46 cubic inches of empty space between the tennis balls and the cans.
Which coordinate divides the directed line segment from -10 At J to23 at K in the ratio of 2 to 1
Answers
Answer:
What are the options?
Ms.Willer wanted to donate 27 cans of food to each of 8 food banks.Each of the 23 students donated 9 cans. How many more cans does Ms.Willer need? Explain
Answers
27 multiplied by 8 is 216 so she would need a total of 216 cans. If each of the 23 students brings nine cans (multiple 23 by 9) then she has a total of 207. The difference is 9... so she needs 9 more cans
choose the function whose graph is given by:
Answers
Hence function 's graph is option D .
What is Function Of cos?Cos function is ration of adjacent side to hypotheses.
What is Range of Cos function ?Range of function lies between [-1,1]
Cos x = 2 n [tex]\pi[/tex]
where x is angle
Hence option D where y=3cos ([tex]\frac{\pi }{2}[/tex]X) is function
Earn more about function of cos
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Answer: 3cos(4x)
Step-by-step explanation:
A square has a perimeter of 36 units. One vertex of the square is located at (3, 5) on the coordinate grid. What could be the x- and y-coordinates of another vertex of the square?
Answers
Answer:
L=4a which means a = 36/4 = 9
The other vertices could be: (12, 5), (3, 14), (12, 14)
Step-by-step explanation:
Find the area of the circle. Leave
your answer in terms of t.
2.4 m
Area = [ ? ]m?
PLEASE ANSWER ASAP!!!! WILL GIVE BRAINLIEST
Answers
Answer:
1.44 pi meters squared
Step-by-step explanation:
Area of circle form: pi r squared
pi is there so we need to find radius
2.4/2 is 1.2
1.2 squared is 1.44
If 3400 maple trees are counted on a 3km x 4km rectangular patch of land, what is the density of maple trees per square kilometer? round to the nearest tenth
Answers
3400 ÷ 12 = 283.33333333..
the desity is 283.3 trees per square kilometer.
just ask if you have any questions :)
The density of maple trees per square kilometer for the cosidered rectangular patch of land is 283 maple trees/sq. km approximately.
How to find the density?Density is like rate. It tells you how much of a thing is available for each unit other thing which contains the first thing.
Density = (Total amount available)/(total space which contains that amount)
For this case, we're specified that:
Number of trees on the rectangular land = 3400Dimensions of the considered rectangular land = 3km x 4kmDensity of trees will be expressed in terms of number of trees per unit area
Area of the considered land = [tex]3 \times 4 = 12 \: \rm km^2[/tex]
Thus, the density of the maple trees in terms of maple trees per sq. kilometers is:
[tex]D = \dfrac{3400}{12} = 283.3\overline{3} \approx 283 \: \rm \text{maple trees/sq. km}[/tex] (approximated to integers as trees cannot be in decimal).
Thus, the density of maple trees per square kilometer for the cosidered rectangular patch of land is 283 maple trees/sq. km approximately.
Learn more about density here:
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Shawna can paint a fence in 8 hours. Kevin can paint the same fence in 4 hours. How long will it take them working together? Show all work.
Answers
Answer: 2.66 hours
Step-by-step explanation:
Shawana can paint a fence in 8hours which means in one hour she can paint 1/8 of a fence.
Kevin can paint the same fence in 4 hours, so in one hour he can paint 1/4 of the fence.
Together in 1 hour they can paint 1/8 + 1/4 = 3/8
Total hours for painting is 3/8 or 2.66 hours
The answer is:
The will paint the same fence at the same time in 2.67 hours.
Why?From the statement we know that Shawna can paint a fence in 8 hours while Kevin can paint the same in 4 hours, and we are asked to calculate how long will it take them to paint the fence working together, so, calculating we have:
For Shawna, we have:
[tex]ShawnaRate=\frac{FencePainted}{TimeToPaint}\\\\ShawnaRate=\frac{1fence}{8hours}[/tex]
For Kevin, we have:
[tex]KevinRate=\frac{FencePainted}{TimeToPaint}\\\\KevinRate=\frac{1fence}{4hours}[/tex]
So, the combined work for both Shawna and Kevin will be:
[tex]CombinedWorkRate=\frac{1fence}{8hours} +\frac{1fence}{4hours}\\\\CombinedWorkRate=\frac{4fence.hours+8fence.hours}{32hours^{2}}\\ \\CombinedWorkRate=\frac{12fence.hours}{32hours^{2}}\\\\CombinedWorkRate=\frac{12fence.hours}{32hours^{2}}=\frac{3fence}{8hours}[/tex]
Now, if the want to paint the same fence at the same time, we can calculate it by the following way:
[tex]\frac{3fence}{8hours}=\frac{1fence}{x(hours)}\\\\x=1fence*\frac{8hours}{3fence}=2.67hours[/tex]
Hence, the will paint the same fence at the same time in 2.67 hours.
Have a nice day!
A bag of marbles has 3 red, 6 blue, and 3 white marbles in it. What is the probability of reaching in and selecting a red marble?
A. 1/2
B. 1/3
C. 1/4
D. 1/5
Answers
Answer:
C. 1/4
Step-by-step explanation:
There are in total 12 marbles in the bag. So the probability of picking a red marble is 3/12. If you simplify that, you get 1/4.
Need help I’ll give brain
Answers
Answer:
-17y+16x
Step-by-step explanation:
-3(3y -2x) +2(5x-4y)
Distribute
-9y +6x +10x -8y
Combine like terms
-9y -8y+ 6x+10x
-17y+16x
Answer:
-17y+16x
Step-by-step explanation:
Caleb is planning a visit to an amusement park. He wants to figure out how many roller coasters he could ride and how many shows he can watch in 345 minutes.
Each roller coaster takes 5 minutes to ride. He estimates that the average wait time for a roller coaster is 30 minutes.
Caleb wants to ride 3 more roller coasters than the number of shows he watches. Each show takes 25 minutes.
how many shows can he watch and how many rides can he ride?
Answers
7 rollercoasters because 4 shows plus 3 more rollercoasters equal 7 and 4 shows .
It takes 5 minutes to ride on the rollercoaster plus the estimated 30 minute wait equals 35 and 35*7=245 and it takes 25 minutes to watch show and 25*4=100 and 245+100=345 so he can ride 7 rollercoasters and 4 shows in 345 minutes.
The graph shows which inequality? The vertex is (-1,3)
Answers
Answer: Last Option
[tex]y> | x + 1 | +3[/tex]
Step-by-step explanation:
First we must identify the function shown in the graph.
It is a function of absolute value whose vertex is in the point (-1, 3)
The absolute value parent function is:
[tex]h(x) = | x |[/tex]. And it has its vertex in (0, 0)
The function shown in the graph is the function h(x) displaced 1 unit to the left and 3 units to the top.
Therefore the function shown in the graph [tex]f(x) = h (x + 1) +3[/tex]
[tex]f (x) = | x + 1 | +3[/tex].
Then, the region shaded in the graph are all the values of y that are above the graph of [tex]f (x) = | x + 1 | +3[/tex]
That is, the region is formed by all values where y is greater than [tex]f (x) = | x + 1 | +3[/tex]
Then the inequality is:
[tex]y> | x + 1 | +3[/tex]
What are the values of d, e, and f?
Answers
Answer:
B
Step-by-step explanation:
The given equation y = 2x^2 -12x - 32 can be factored as follows:
y = 2(x^2 - 6x - 16) = 2(x - 8)(x + 2). Then its roots are x = -2 and x = 8.
Since d > e and 8 > -2, we conclude that d = 8 and e = -2.
We need to find the minimum of y = 2x^2 -12x - 32.
We can do this by finding the vertex: b
The equation of the axis of symmetry is x = - ----------
2a
-12
which here is x = - --------- = 3
2(2)
so f = 3.
Answer choice B is correct.
Answer:
Tama sya Ayan yung lumabas na sagot
What is the range of y=-3si (x)-4
Answers
Number 2 is the answer