Histograms are used to represent data, where the length of each bar represents the frequency of the data element
The histogram is not given; So, I will give a general explanation.
Assume that the number of commuters that travel more than 45 minutes is 450, while the total number of commuters surveyed is 500.
The percentage of commuters that travel more than 45 minutes is the quotient of the commuters that travel more than 45 minutes and the total number of surveyed commuters.
So, we have:
[tex]\%Percentage = \frac{450}{500}[/tex]
Divide 450 by 500
[tex]\%Percentage = 0.9[/tex]
Express as percentage
[tex]\%Percentage = 90\%[/tex]
Hence, the percentage of commuters that travel more than 45 minutes is 90%
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Subtract:
(3x^3– 10x^2+ 13x) – (5x^3+ 4x² – 9x)
A. 8x^3 + 14x^2 - 22x
B. 8x^3 - 6x^2 + 4x
C. 2x^3 - 6x^2 - 4x
D. -2x^3 - 14x^2 + 22x
Answer:
D. -2x^3 - 14x^2 + 22x
Step-by-step explanation:
1) Remove parentheses.
3x³ - 10x² + 13x - 5x³ - 4x² + 9x
2) Collect like terms.
(3x³ - 5x³) + (-10x² - 4x²) + (13x + 9x)
3) Simplify.
-2x³ - 14x² + 22x
Which relation is a function?
Answer:
D is a function.
Step-by-step explanation:
cause the line is related to both x and y
The relation that represents a function is the relation (d)
Checking the relations that are functionsFrom the question, we have the following parameters that can be used in our computation:
The relations (1) to (4) represent the given parameter
Next, we test the options
Relation (1)
This relation is not a function
This is because it fails the vertical line test i.e. some output values all point to the same input value,
Relation (2)
This relation is not a function
This is because it fails the vertical line test i.e. some output values all point to the same input value,
Relation (3)
This relation is not a function
This is because it fails the vertical line test i.e. some output values all point to the same input value,
Relation (4)
This relation is a function
This is because the inputs all point to different output values
Hence, the relation that is a function is graph (d)
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Determine the value of x for the following equation: 9(x + 2) = 72
Answer:
[tex]x=6[/tex]
Step-by-step explanation:
So, first we divide the equation by 9 on both sides to get: [tex]\frac{9\left(x+2\right)}{9}=\frac{72}{9}[/tex]
Then, we simplify to get [tex]x+2=8[/tex]
Now, to leave x alone we subtract 2 from both sides ([tex]x+2-2=8-2[/tex]) to get our final answer of [tex]x=6[/tex]
brainliest pls
Graph the line that has a slope of 4/3 and contains the point (0,-4)?
Please I need help fast
Answer:
It's attached
Step-by-step explanation:
y=4/3x-4
is the equation for the line
So you just plot the line.
The equation for the given slope and point is y = 4x/3 - 4
What is slope?The slope of a line is a number that describes both the direction and the steepness of the line.
Given that, a line that has a slope of 4/3 and contains the point (0,-4)
The slope intercept of a line is y = mx+c, where m is slope,
Here, m = 4/3, x = 0 and y = -4
Finding for c,
-4 = 4/3x0+c
c = -4
Establishing the equation,
y = 4x/3-4
Now plotting the graph,
(Attached)
Hence, the graph will pass through the points (3,0) and (0,-4)
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expand and simplify 3(5x+1)+5(5x-4)
Answer:
40x-17
Step-by-step explanation:
What is the first number in the sequence?
Answer:
Step-by-step explanation:
Let "n" be the first number
n + (n + 2) + (n + 4) + (n + 6) = 36
4n + 12 = 36
4n = 24
n = 6
as "n" itself is even, it qualifies
6 + 8 + 10 + 12 = 36
been trying to solve this, need help
Given :-
The given triangle is isosceles triangle.Length of one side is 4 .To Find :-
The value of x in simplest radical form.Solution :-
The given triangle is a right isosceles triangle . So here we can use the Pythagoras theorem as ,
[tex]\longrightarrow[/tex] hypotenuse² = perpendicular ² + base²
[tex]\longrightarrow[/tex] x² = 4² + 4²
[tex]\longrightarrow[/tex] x² = 16 + 16
[tex]\longrightarrow[/tex] x² = 32
[tex]\longrightarrow[/tex] x = √32
[tex]\longrightarrow[/tex] x = √2⁵
[tex]\longrightarrow[/tex] x = 4 × 1.732
[tex]\longrightarrow[/tex] x = 6.928 ≈ 7
x+3y=-5
4. Tyler and Han are trying to solve this system by substitution:
Tyler's first step is to isolate x in the first equation to get x = -5 - 3y. Han's first step
is to isolate 3y in the first equation to get 3y = -5 - X.
Show that both first steps can be used to solve the system and will yield the same
solution.
Answer:
Tyler's - (-5 - 3y) + (3y) = -5
Han's - (x) + (-5 - x) = -5
Step-by-step explanation:
If we are going to use Tyler's first step then we would use x = - 5 - 3y and substitute it in the original simultaneous equation x + 3y = -5, becoming (-5 - 3y) + (3y) = - 5 giving an exact answer of - 5.
But if we are using Han's first step then we will still substitute into the original simultaneous equation but in 3y. It would become
x + (-5 - x) = - 5 which also gives us an exact answer of -5.
Thus proving that both first steps show the same solution of -5.
3. Find the area of the trapezoid.
8 ft
4V3
10 ft
Answer:
[tex]32\sqrt3[/tex]
Step-by-step explanation:
We need first to find the measure of the red horizontal line, call it x. The triangle i filled is a right triangle, so we can apply pythagoras theorem,
[tex]8^2 = x^2+(4\sqrt3)^2 \rightarrow 64=x^2+(16\times3) \\x^2=64-48 \rightarrow x^2=16 \rightarrow x=4[/tex]
(we are talking lengths of segment so we take only the positive root!)
At this point we can find the length of the smaller base of the trapezoid (which is [tex]10-4=6[/tex]) and apply the formula, or split the figure in a rectangle of sides 6 and [tex]4\sqrt3[/tex] and a triangle of sides [tex]4\sqrt3[/tex] and 4.
With the trapezoid formula
[tex]A=\frac12(B+b)h = \frac12(10+6)4\sqrt3 = 32\sqrt3[/tex]
With the sum of figures:
[tex]A= bh+\frac12 xh=6\times4\sqrt3 +\frac12\times4\times4\sqrt3=24\sqrt3+8\sqrt3=32\sqrt3[/tex]
Find BC.
А В
С
ош
=
=
AD = 10.5
AB = 2
СЕ = 11.5
AE = 15
BC = [?]
=
Answer:
8,5
Step-by-step explanation:
BC=AD-AB
BC=10,5-2
BC=8,5
Which number one shows Point A at-2, Point B at 35, Point Cat-3
1-2 1 / 2
and point, which is the opposite of point ?
B
D
A
с
2
2-1
1
2
3 4 5
2 1
2
2 4 5
A
B
2-1
1
2
B
5 4 3 2 1
1
2 3 4 5
Answer:
B
D
A
с
2
2-1
1
2
3 4 5
2 1
2
2 4 5
A
B
2-1
1
2
B
5 4 3 2 1
1
2 3 4 5
21 cans of tomato paste of the same size have weight of 7300 grams. What is the weight of 5 cans.
Answer:
answer is 347.6
Step-by-step explanation:
21/7300= 347.6
The backyard of a new home is shaped like a trapezoid with a height of 44 nt and bases of 86ft and 106ft What is the cost of putting sod on the yard, if the
landscaper charges $0.25 por square foot for sod?
Answer:
Step-by-step explanation:
Area of a trapezoid is the average length of the bases times the height
C = A(0.25)
A = ½(86 + 106)(44) = 4224 ft²
C = 4224(0.25) = $1056.00
Hunter started with the following model to show the problem 1.45 : 5. w 3 To complete the division model of 1.45 = 5, how many hundredths would there be in each of the division groups? Ο Α. 1 O B. 2. O C. 5
Each division set gives the outcome of the operation 1.45 ÷ 5 which is 0.29.
The number of hundredths in each division set is D. 9Reasons:
The given Hunter's model consists of the following
One 10 × 10 number block
Four sets of a column of 10 cubes
Five individual cube pieces
Therefore;
In 1.45, we have;
1 unit
4 tenths
5 hundredths
Which gives;
Each single cube can be used to represent a hundredth in 0.05
One cube = 0.01
Each set of 10 cubes represents a tenth in 0.4
Each block of 10 by 10 can be used to represent the unit; 1
Dividing each of the 10 × 10 can be divided to sets of 20 blocks with a value of 0.2 each
The 4 sets of 10s can be divided by 5 to give sets of 8 with a value of 0.08
The 5 cubes divided 5 gives five cubes with each cube having a value of 0.01.
Therefore;
The value of each division set is 0.2 + 0.08 + 0.01 = 0.29
The number of hundredths in 0.29 = 9
The number of hundredths in each division set is therefore; D. 9
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Someone help me pls
Answer:
248 is your answer
Step-by-step explanation:
The two angles are supplementary, therefore together they add to 360. So take 360 and subtract 112, you get 248. Hope this helps you :)
What is the measurement of ADB?
A. 90
B. 95
C. 105
D. 145
Answer:
C)105
Step-by-step explanation:
sizde benim sorduğum soruları cevaplarsanız sevinirim doğru ve hızlı bir şekilde
Pls help will give brainliest
Answer:
247 ft is the correct answer
find the value of x
[tex]\large\huge\green{\sf{Answer:-}}[/tex]
<AEC =X°
first draw line passing with Eand then ,now<EAB = 116°
the by (consecutive)
180 = <EAB + <1
<1 = (180 - 116 )
<1=. 64°
now second step,<ECD = 124°
then ,180 = <ECD + <2
<2= (180 - 124)
<2= 56°
= Now add <1 + <2
= (64+ 56)°
➡x° = 120°
Answer:
Solution given:
Construction:
EF parallel to AB and CD is drawn.
let suppose <AEF=a
and
<CEF=b
now
<EAB+<EAB=180°[being co interior angle]
116°+a=180°
a=180°-116°=64°
again
<DCE +<CEF=[being co interior angle]
124°+b=180°
b=180°-124°
b=56°
Now
we know
x=a+b=64°+56°=120°
Value of x is 120°
1 minute is equal to 60 seconds. How many seconds are in 3 minutes, 37 seconds?
Answer:
217 seconds
Step-by-step explanation:
3 minutes = 180 seconds
180 seconds + 37 seconds = 217 seconds
Which costs the least per can, a 24 pack of cola for 5.52,a 12 pack of cola for 2.64 or a 6 pack of cola for 1.35
Answer:
It would be the 12 pack of cola for 2.64
Step-by-step explanation:
2.64/12 = 0.22
5.52/24 = 0.23
1.35/6 = 0.225
Round 0.225 = 0.23
Find the whole number equal to the fraction below. Enter your answer in the
space provided.
Answer:
[tex]\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]
6/2 ÷ 2/2 = 3/1
3 ÷ 1 = 3
Answer: 3
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Find the value of k so that (x + 3) is a factor of H(x) = 3x^3 – 2x^2 + kx – 3.
A. 34
B. 20
C. -20
D. -34
E. 32
A quadratic function and an exponential function are graphed below. How do the decay rates of the functions compare over the interval -2<= x <= 0?
The exponential function decays at one-half the rate of the quadratic function.
The exponential function decays at the same rate as the quadratic function.
The exponential function decays at two-thirds the rate of the quadratic function.
The exponential function decays at three-fourths the rate of the quadratic function.
Answer:
×e[-2,0}Why;-2<x<0
Write the compound inequality in interval rotationso the answer is;×e[-2,0}brainliest me thanks for later
Answer:
D) The exponential function decays at three-fourths the rate of the quadratic function.
Step-by-step explanation:
Geometric Applications: For the next three questions, use the information below:
A rectangle has a side with a length of 8ft and a width of (2x+4)ft.
Label the rectangle
15 pts
a) Find the perimeter of the Rectangle:
b) Find the area of the rectangle:
c) If the total Area is 80 square feet, find the width in feet.
Answer:
a)Perimeter= 2(8+2x+4)
=(24+4x)ft
b)Area= 8(2x+4)
=(16x+32)square ft
c)16x+32=80
x=3
width= 2x+4 = 2(3)+4 =10ft
The radius of a circle is 2.5 centimeters (cm).
What is the circumference of the circle?
Answer:
15.7 cm to nearest 10th
Step-by-step explanation:
Circumference = 2 pi r = 2 pi 2.5
= 5 * pi
= 15.708 cm.
The tree in Manuel’s backyard is 6.8 m high. How high is it in centimeters?
Zachary is going out with his friends to see
a movie and shop. He has $32 and the
movie will cost $7.25. Write and solve an
inequality to find how much money
Zachary can spend shopping.
Answer:
7.25 + S ≤ 32
Step-by-step explanation:
Our initial value is 7.25, and that is to watch the movie. Next, the absolute max he can spend is 32, or he would have negative money, which he cannot have. Therefore, we use the ≤ sign and point it as 32, to show that it must be less than or equal to our total of 32. Then, we can represent the money they spend on shopping with s
10. A wedding reception bartender is faced with a problem: how many litres of fruit juice must be
mixed with 4 litres of a 24% flavoured rum to make a rum punch of 8% strength?
9.14 liters of fruit juice must be mixed with 4 liters of a 24% flavored rum to make a rum punch of 8% strength.
To determine how many liters of fruit juice must be mixed with 4 liters of a 24% flavored rum to make a rum punch of 8% strength, the following calculation must be performed:
(4 x 24 + 4) / 8 = 12.5 (4 x 24 + 8) / 12 = 8.66 (4 x 24 + 9) / 13 = 8.07 (4 x 24 + 9.14) / 13.14 = 8
Therefore, 9.14 liters of fruit juice must be mixed with 4 liters of a 24% flavored rum to make a rum punch of 8% strength.
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Supposed there is a 1.3f drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 61.9f what will be the temperature when the plane reaches an altitude of 8,000ft
Answer:
Answer:
Step-by-step explanation:
Step-by-step explanation:
Answer:
51.5
Step-by-step explanation:
8000/1000=8
8x1.3=10.4
61.9-10.4
Mrs. Traynor's class is taking a field trip to the zoo. The trip will cost $26 for each student. There are 22 students in her class. Use compatible numbers to estimate the total cost of the field trip.
Answer:
$572
Step-by-step explanation:
Since she has to pay $26 for her 22 students, you need to multiply to find the answer$26 * 22 = 572Therefore, she has to pay $572