Complete Question
The two-way table below gives the thousands of commuters in Massachusetts in 2015 by transportation method and one-way length of commute.
[tex]\left|\begin{array}{c|c|c|c|c|c|c}$Transport Mode/Minutes&$Less than 15&15-29&30-44& 45-59&$60 or more &$Total\\---&---&---&---&---&---&---\\$Private vehicle & 636&908&590&257&256&2647\\$Public Transportation&9&54&96&62&108&329 \\$Other&115&70&23&7&7&222\\---&---&---&---&---&---&---\\$Total&760&1032&709&326&371 &3198 \end{array}\right|[/tex]
Answer:
[tex]\dfrac{108}{329}[/tex]
Step-by-step explanation:
From the table above
Total Number of commuters who used public transportation=329
Number of commuters who spent 60 or more minutes on public transportation=108
Therefore:
Given that a commuter used public transportation, the probability that the commuter had a commute of 60 or more minutes:
P ( 60 + minutes ∣ public transportation ) = [tex]\dfrac{108}{329}[/tex]
Factorise this expression as fully as possible
4x^2+x^3
Answer:
x^2(4+x)
Step-by-step explanation:
you have to factor out x^2 off both equations since that's the only thing that you can divide off the equations
A town has population of 5000 and grows 3.5 percent every year. What will be the population after 15 years , to the nearest whole number?
Answer:
After 15 years the population will be 7,625
Step-by-step explanation:
3.5% of 5,000 = 175
175 x 15 = 2625
2625 + 5,000 = 7625
The population after 15 years should be 8,376
Calculation of the population:Since the population is 5,000 and it grows 3.5 years and the time period is 15 years
So, the population after 15 years is
[tex]= 5,000 \times (1 + 3.5\%)^{15}\\\\[/tex]
= 8,376
Therefore, we can conclude that The population after 15 years should be 8,376
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Solve the following system of equations {4x−6y=105x+6y=−55
Answer:
31557778998765432
Step-by-step explanation:
is it impossible
A copy machine makes 231 copies in 5 minutes and 15 seconds. How many copies does it make per minute?
The solution is 44 copies
The number of copies the copy machine makes in one minute is 44 copies
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
The number of copies the copy machine makes = 231 copies
Time required by the to make 231 copies = 5 minutes 15 seconds
5 minutes = 5 x 60 seconds
5 minutes = 300 seconds
5 minutes 15 seconds = 300 + 15 seconds
5 minutes 15 seconds = 315 seconds
So , Time required by the to make 231 copies = 315 seconds
Now , number of copies in 1 minute = 60 x ( The number of copies the copy machine makes / Time required by the to make 231 copies )
Substituting the values in the equation , we get
Number of copies in one minute A = 60 x ( 231 / 315 )
Number of copies in one minute A = 60 x 0.733
Number of copies in one minute A = 44 copies
Therefore , the value of A is 44 copies
Hence , the number of copies is 44 copies
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match the type of graph with its description
Answer:u tell me doc
Step-by-step explanation:
(3/7)*(1/10)-(3/7)*2/5+3/7*1
solve the above-using propeties of rational numbers..
pls give the ans fast..
it's very urgent...
pls don't give wrong ans...
Answer:
[tex]\frac{- 39}{70}[/tex]
Step-by-step explanation:
{[tex]\frac{3}{7}[/tex] x [tex]\frac{1}{10}\\[/tex]} - { [tex]\frac{3}{7}[/tex] }x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex] x 1
We follow the BODMAS rule
= [tex]\frac{3}{70}[/tex] - [tex]\frac{3}{7}[/tex] x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex] x 1
= [tex]\frac{3}{70}[/tex] - [tex]\frac{3}{7\\}[/tex] x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex] x 1
= [tex]\frac{3}{70}[/tex] - [tex]\frac{3}{7\\}[/tex] x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex]
= [tex]\frac{3}{70}[/tex] - [tex]\frac{6}{35}[/tex] + [tex]\frac{3}{7}[/tex]
= [tex]\frac{3}{70}[/tex] - [tex]\frac{6}{35}[/tex] + [tex]\frac{3*5}{7*5}[/tex] LCM= 35
= [tex]\frac{3}{70}[/tex] - [tex]\frac{6 + 15}{35}[/tex]
= [tex]\frac{3}{70}[/tex] - [tex]\frac{21}{35}[/tex]
= [tex]\frac{3}{70}[/tex] - [tex]\frac{21*2}{35*2}[/tex] LCM= 70
= [tex]\frac{3 - 42}{70}[/tex]
= [tex]\frac{- 39}{70}[/tex]
Melissa needs to wrap a gift box that is shaped like a rectangular prism. The length is 6 inches, the width is 6 inches and the height is 8 inches. How much wrapping paper does she need to cover the whole box
Answer:
A=264
Step-by-step explanation:
Paint costs $12 per litre and can only be purchased in a full number of litres. One litre of paint covers an area of 10m2. A rectangular wall is 6.5 long and 3m high and needs two coats of paint. What will be the cost of paint for the wall?
Answer:
$48
Step-by-step explanation:
The rectangular wall is 6.5 m long and 3 m high and needs two coats of paint. This means the wall will be painted twice.
First, we find the area of the wall. The area of a rectangle is given as:
A = L * B
where L = length and B = breadth
Therefore, the area of the wall is:
[tex]A = 6.5 * 3 = 19.5 m^2[/tex]
One litre of paint covers an area of [tex]10m^2[/tex].
The paint can only be purchased in a full number of litres.
Therefore, let us find how many litres it will take to paint the wall once:
[tex]10m^2[/tex] = 1 litre
[tex]19.5 m^2[/tex] = 19.5 / 10 = 1.95 litres
Since the paint can only be bought in full number of litres, we approximate 1.95 litres to whole number, that is 2 litres.
2 litres is needed to paint the wall once.
Therefore, we need double of that to paint the wall twice, that is:
2 * 2 = 4 litres
Paint costs $12 per litre, therefore, the price for 4 litres is:
4 * 12 = $48
The cost of paint for the wall is $48.
a knife is 3 times the cost of spoon
9 spoons and 12 knives cost £82.80
Answer:
5 .52
Step-by-step explanation:
do the math. aaaaaaaaaaaaaaaaaaaannnnnnnnnnnnnnnnnddddddd this is the best appppp evvvvver
Please answer asap. Find the volume.
Answer:
5cm³
Step-by-step explanation:
Volume of rectangular prism formula= L×W×H
1/2×4×5/2=
2×5/2=
10/2=
5cm³
When the polynomial x^4-3x^3-7x^2+7x+2 is divided by x+2 the quotient is x^3 +Bx^2 +Cx +1. Find the value of B +C
Answer:
B=-5
C=3
Step-by-step explanation:
x^4-3x^3-7x^2+7x+2= x^4-3x^3-10x^2+3x^2+7x+2
=x^4-3x^3-10x^2+ 3x^2+7x+2
=x^2(x^2-3x-10)+ 3x^2+7x+2
=x^2(x^2+2x-5x-10)+ 3x^2+6x+x+2
=x^2(x(x+2)-5(x+2))+ 3x(x+2)+1(x+2)
=(x+2)(x^2(x-5)+(3x+1))
=(x+2)(x^3-5x^2+3x+1)
Answer:
B=-5
C=3
Step-by-step explanation:
can someone help? 25 points
Answer:
8 hours
Step-by-step explanation:
HE has to pay $7 an hour.
8*7=56
He has a descount of $3, so
$56-$3=$53.
Which is the exat amount of money that Tony has.
Answer:
The answer is 46
Because he wants to spend less so you would do
7x7=49
He could only rent the boat for 7 hours because that would be less than 53$
Now you do 49-3=46
Because he had a discount
So the answer is 46
Step-by-step explanation:
Hope this helped!
What is a set of ordered pairs
Answer:
A relation is a set of ordered pairs. The set of all first components of the ordered pairs is called the domain of the relation and the set of all second components of the ordered pairs is called the range of the relation.
Step-by-step explanation:
What is the volume of this rectangular prism?
-
4.8 cm
4.1 cm
15 cm
Answer:
295.2 cm^3
Step-by-step explanation:
Volume of a prism = length * width * height.
Here the volume = 4.8 * 4.1 * 15
= 295.2 cm^3.
The volume of rectangular prism is 295.2[tex]cm^{3}[/tex]
What is rectangular prism?A rectangular prism is a polyhedron with two congruent and parallel bases. It is also called a cuboid. A rectangular prism has six faces, and all the faces are in a rectangle shape and have twelve edges. Because of its cross-section along the length, it is said to be a prism.
What is the volume of rectangular prism?To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
According to question
Length of rectangular prism = 4.8cm
Breath of rectangular prism = 4.1cm
Height of rectangular prism = 15cm
Volume of rectangular prism = Length * Breath * height
= 4.8*4.1*15
= 295.2[tex]cm^{3}[/tex]
Hence, Volume of rectangular prism is 295.2[tex]cm^{3}[/tex]
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The area of a circle is 4π x 2 + 12πx + 9π.
a. What is an expression for the radius of the circle?
b. What is the least possible integer value of x for the circle to exist? Explain.
Answer:B D
Step-by-step explanation:
I just got it right
Idk what it is plz help me
Answer:
1) Starting height is 6.25
2) after 20 years it would be 30
1.25(20)=25+5=30
3) 76 years
Answer:
a) 5 feet
b) 30 feet
c) 76 years
Step-by-step explanation:
a) 5 feet. If t is 0, it'll still be 5 feet
b) 30 feet
1.25*20+5=
25+5=
30
c) 76 years
100 = 1.25t+5
1.25t=95
t=76
Question 1 (1 point)
What is the area of the SHADED sector of the circle?
162° H
O a
Ob
Oc
400 x units2
20 x units2
180 x units2
40.x units2
od
Question:
What is the area of the SHADED sector of the circle?
Image of the circle is attached.
A) 400π units²
B) 20π units²
C) 180π units²
D) 40π units²
Answer:
C) 180π units²
Step-by-step explanation:
From thr circle, we can see that the given radius is 20 and the shaded part is 162°
The formula to calculate the area of the shaded sector of a circle is =
Area of the circle * fraction of the shaded part of the circle.
We know area of a circle = πr²
Therefore, area of the shaded sector =
[tex] = \pi r^2 * \frac{162}{360}[/tex]
[tex] = 20^2 * \pi * 0.45 [/tex]
[tex] = 400 * 0.45 * \pi [/tex]
[tex] = 180 \pi [/tex]
Area of the shaded sector of the circle is 180π units²
You buy a classic comic book for $45. You want to resell it and make a $15 profit. What percent do you need to markup the comic book?
33% profit
ratio: 15:45
That can be simplified into 1:3
The price is increased by $15, which is 1/3 of the original $45.
1/3 as a percentage is about 33%.
what is -4 {2 - y} + 3y = 3 {y - 4}
The city limits of Las Pythagoras form a perfect shape of an isosceles right triangle whose legs are both 25 2525 kilometers long. The population in Las Pythagoras is 100 , 000 100,000100, comma, 000 people. What is the population density of Las Pythagoras?
320
Step-by-step explanation:
Can someone help me with this
Answer:
30.5 and 46
Step-by-step explanation:
The minimum is 30.5 and the maximum is 46
Which expression represents the volume of a rectangular prism that is not occupied by the cylinder.
Answer:
The volume of the prism not occupied by the cylinder is (150 - 25*pi)*h.
Step-by-step explanation:
In order to calculate the volume of the rectangular prism that is not occupied by the cylinder we need to calculate the total volume of the rectangular prism and subtract it by the volume of the cylinder. We have:
Rectangular prism:
Volume prism = length*height*width
Volume prism = 15*h*10 = 150*h
Cylinder:
Volume cylinder = pi*r²*h = pi*5²*h = 25*pi*h
The volume of the prism that is not occupied by the cylinder is:
volume not occupied = volume prism - volume cylinder
volume not occupied = 150*h - 25*pi*h = (150 - 25*pi)*h
The volume of the prism not occupied by the cylinder is (150 - 25*pi)*h.
In ΔHIJ, the measure of ∠J=90°, IJ = 47 feet, and HI = 68 feet. Find the measure of ∠H to the nearest degree.
Answer:
44
Step-by-step explanation:
A survey in one middle school showed that 3 out of 5 students enjoy biking on the weekends. Predict how many out of the 972 students in the school would say they enjoy biking on the weekends.
8 − (−11) = ? ..................................................................................................................
Answer:
+19
Step-by-step explanation:
8-(-11)= 8+11
8-(-11)=+19
Answer:
19
Step-by-step explanation:
8 - ( -11) =
8 + 11 =
19
The two negatives combine to make a positive.
There are 81 women teachers at Russell High. If 45% of the teachers in the school are women, how many teachers are there at Russell High?
Answer:
180 teachers
Step-by-step explanation:
In this case, we know the value corresponding to 45% of female teachers which is 81, therefore, to find the total it would be:
% teachers #teachers
45 81
100 x
we apply the rule of three:
x = 100 * 81/45
x = 180
which means that there are a total of 180 teachers at Russell High
0.7 bar repeater in simplest form
Answer:
the answer is 7/10
Step-by-step explanation:
cause i am in honors math 6th grade. I am EXTREMELY smart!!!
Shreya built a wooden sculpture with the dimensions shown. Now she wants to paint it. How much paint does she need?
Answer:55.7 would be the answer.
Step-by-step explanation:
Answer:
the answer is 55.7
Step-by-step explanation:
because i got it right on edge 2021
Correct answers only!
To the nearest cent, how much interest will he earn in 2 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer: $8.40
Step-by-step explanation:
The problem states that Scott has deposited $40 and is earning 10% interest, annually. It asks how much interest he will earn in 2 years to the nearest cent.
First, the formula given is B=p(1+r)^t. Since Scott deposits $40, 40 would be the starting amount, p.
B=40(1+r)^t
R is the interest rate: 10%. We plug in 0.10 instead of 10% because r is the interest rate, not the percentage.
B=40(1+0.10)^t
T is time: 2 years
B=40(1+0.10)^2
Now that we have the equation filled out, we plug this into a calculator.
48.4=40(1+0.10)^2
We know that the final amount is $48.40. Unfortunately, the question is asking how much interest is earned. To find that, you would subtract the Final-Initial to get the interest.
48.4-40=8.4
what is the independent value
