Answer:
How much of a head start in miles did Mr. Smith have?
+d%5B1%5D+=+60%2A4+
+d%5B1%5D+=+240+ mi
------------------
Start a stopwatch when Mrs. Smith leaves. Let +t+
= the time on the stopwatch in hrs when Mrs. Smith
catches up with Mr. Smith.
Let +d+ = the distance in miles that Mrs. Smith
travels until she overtakes Mr. Smith
------------------
Mr. Smith's equation:
(1) +d+-+240+=+60t+
Mrs. Smith's equation:
(2) +d+=+80t+
-------------------
Substitute (2) into (1)
(1) +80t+-+240+=+60t+
(1) +20t+=+240+
(1) +t+=+12+
Mrs. Smith overtakes Mr. Smith in 12 hrs
-------------------
check:
(2) +d+=+80t+
(2) +d+=+80%2A12+
(2) +d+=+960+ mi
and
(1) +d+-+240+=+60t+
(1) +d+-+240+=+60%2A12+
(1) +d+=+240+%2B+720+
(1) +d+=+960+ mi
The product of two consecutive odd integers is 63. If x is the smallest of the integers, write an equation in terms of x that describes the situation, and then find all such pairs of integers.
The equation that describes the situation is __________________
The positive set of integers is _________________
The negative set of integers is _________________
9514 1404 393
Answer:
x(x+2) = 637, 9-9, -7Step-by-step explanation:
If x is an odd integer, the next greater odd integer is x+2. The product is said to be 63, so the equation is ...
x(x +2) = 63
__
The equation can be rewritten as ...
(x +1)² = 64
x = -1 ±√64 = -1 ±8
The positive solution is x=7, so the positive set of integers is {7, 9}.
The negative solution is x=-9, so the negative set of integers is {-9, -7}.
For the data set shown in the scatterplot, what is the BEST approximation of the y-intercept for the line of best fit? A) 0 B) 50 C) 125 D)200
Answer:
C) 125Step-by-step explanation:
If you add a line of best fit, its extension is likely to intersect the y-axis between 200 and 100 but closer to 100.
The best estimate is choice C) 125
find the volume of the cone Diameter:10 m and Height:10m, round to the nearest whole number
Answer:
und wey kennen diese Antwort oder Art und Weise nicht, wie Sie sie wahr übersetzt haben
Which one is right can y help me
Answer:
What are you trying to find out? Like what do you mean by which one is right?
Step-by-step explanation:
Please help Me ASAP Please
Answer:
217/31=7. He needs to run 7 miles per day.
You are in a 12-member panel. If two people from the panel are selected to represent the panel, what is the probability you
This question is incomplete, the complete question is;
You are in a 12-member panel. If two people from the panel are selected to represent the panel, what is the probability you wont be selected.
[ Two decimal places ]
Answer:
The probability that you be selected is 0.83
Step-by-step explanation:
Given the data in the question;
total number of people in the panel = 12
number of people to be selected from the panel = 2
probability you wont be selected = ?
Number of ways of selecting 2 people from the 12 member panel is;
⇒ ¹²C₂ = 12! / ( 2!( 12 - 2 )! ) = 479001600 / 7257600 = 66
so total number of outcome = 66
Now, number of ways in favor of selecting you and another person from the 12 member panel is;
⇒ ¹C₁ × ¹¹C₁ = [1! / ( 1!( 1 - 1 )! )] × [11! / ( 1!( 11 - 1 )! )] = 1 × 11 = 11
so favorable number of outcome = 11
∴ Probability of selecting you in the panel will be;
⇒ favorable number of outcome / total number of outcome
⇒ 11 / 66 = 1/6
Now, Probability of not selecting you in the panel will be;
⇒ 1 - Probability of selecting you in the panel
⇒ 1 - 1/6
⇒ 0.83
Therefore, The probability that you be selected is 0.83
The length of a rectangle is 13 centimeters less than four times its width. Its area is 35 square
centimeters. Find the dimensions of the rectangle.
The width is
and the length is
Answer:
width 5
length 7
Step-by-step explanation:
W * L = 35
L = 4 * W - 13
W * (4W-13) = 35
4 W^2 - 13 W - 35 = 0
delta = 169 + 4*4*35 = 729 = 27^2
W = (13 + 27) / 8 = 5 (its the only solution since 13 - 27 is less than 0 which makes no sense)
L = 4 * 5 - 13 = 7
The length and width of the rectangle are 7 cm and 5 cm respectively.
What is a rectangle?A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°). The opposite sides of a rectangle are equal and parallel.
Given that, the length of a rectangle is 13 cm less than four times its width. Its area is 35 cm².
We know that, the area of a rectangle = length × width
Let the width of the given rectangle be w,
According to question,
length = 4w - 13
Therefore,
(4w - 13) × w = 35
4w² - 13w = 35
4w² - 13w - 35 = 0
Factorizing, we get,
w = 5 and w = -7/4
Therefore, width = 5
Length = 20 - 13
Length = 7
Hence, the length and width of the rectangle are 7 cm and 5 cm respectively.
Learn more about rectangle, click;
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Which statement is true?
Answer:
[tex] (\sqrt[m]{ {x}^{a} } ) ^{b } = \sqrt[m]{ {x}^{ab} } [/tex]
The figure below is a scale drawing of a
rectangular ball room. The scale is 2 cm:4
m.
6 cm.
12 cm.
What is the area of the actual room?
A. 72 m²
B. 144 m2
C. 288 m
D. 576 m
Answer:
Area of the actual room = 288 m²
Step-by-step explanation:
Given:
Scale factor = 2cm to 4 m
Dimension of rectangle ball room = 6 cm and 12 cm
Find:
Area of the actual room
Computation:
Actual dimension of rectangle ball room;
⇒ [6/2]4 = 12 m
⇒ [12/2]4 = 24 m
Area of rectangle = Length x Width
⇒ Area of the actual room = Actual length x Actual width
⇒ Area of the actual room = 12 x 24
Area of the actual room = 288 m²
Please solve and show your work. Thank you! I will mark brainiest :)
Answer:
x=22.5
Step-by-step explanation:
Make a ratio
The names of the triangle help with this.
AB is similar to FG, and AC is similar to FH (the missing side)
6/15 = 9/x
cross multiply
6x=135
divide both sides by 6
x=22.5
Answer:
X=22.5
Step-by-step explanation:
6/9=15/x
135=6x
22.5=X
Triangle AA'B'C' is the image of AABC under a rotation about point P.
Find the area. The figures are not drawn to scale.
12.
(1 point)
4 cm
6.9 cm
O 13.8 cm2
O 10.9 cm2
O 27.6 cm2
O 55.2 cm?
Answer and step-by-step explanation:
If it is a rectangle, the formula is:
L * W
Fill in the values:
4*6.9
Then solve.
27.6
So, if it is a rectangle, the answer is (C), 27.6 Inches squared.
If it is a triangle, the the formula is:
(B*H)/2
Fill in the values:
4*6.9/2
Simplify:
27.6/2
Then solve.
13.8
So, if it is a triangle, the answer is (A), 13.8 Inches squared
Hope this helps!
What are the ordered pairs of the solutions for the
following system of equations?
(3, [?]); ([ ], [ ])
Answer:
(3,1) ; (6,-2)
Step-by-step explanation:
We have to search the points that the line and the parabola have in common, that are the points where they intercept
(3,1) ; (6,-2)
if t=2, what is √18t?
Answer:
s
Step-by-step explanation:
5.5~
Answer:
8.48528137 I think
Solving a word problem on proportions using a unit rate
Alonzo drove 335 miles in 5 hours.
At the same rate, how long would it take him to drive 469 miles?
Answer:
7 hours
Explanation:
Divide 5 and 335 then multiply by 469
because 5 / 339 will be time for one mile and then multiply by 469 will be number of hours for 469 miles
5 / 339 × 469 =7 hours
What is it i’m really really really confused about it lollll
Answer:
it would be D
So, when they say quantities that combine to make 0, that means you have to lose, and then gain the same amount back.
If you look at all the other choices, they either keep on gaining or they don't gain the same amount they lost
Think about it as breaking even. You aren't actually gaining anything if you are gaining back the exact same amount you lost.
Find the total area:
Answer:
518 cm squared
Step-by-step explanation:
Answer:
518 cm²
Step-by-step explanation:
First, we can split the shape into two parts.
The first part will be 8+22(which is the width)x13(29-16, which is the height). This gives us:
30x13=390 cm²
Now, for the next part, we have 8(width)x16(height), which gives us:
8x16=128 cm²
Finally, we add 128+390=518cm²
Solve using substitution. You MUST find both variables to be crowned brainiest
2x + 4y = 40
x - 6y = -36
The population of New York City is 23,945. Eastdale has a population of 12,774 What is the total population of the two communities
A.35,719
B. 36,619
C. 36,719
D. 37,619
jimmy made a circle graph illustrating the results of a survey he took to find the favorite subject of the students in his seventh grade class which subject was chosen as a favorite by exactly 20% of the students
Answer:
Physical education
Step-by-step explanation:
The subject chosen as a favorite by exactly 20% of the students is maths.
What is a percentage?The percentage means the required value out of 100.
It is calculated by dividing the required value by the total value and multiplying it by 100.
The percentage change is also calculated using the same method.
In percentage change, we find the difference between the values given.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
From the circle graph,
Maths = 20%
English = 25%
Hindi = 10%
Science = 45%
We see that,
The subject was chosen as a favorite by exactly 20% of the students in maths.
Thus,
The subject was chosen as a favorite by exactly 20% of the students in maths.
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The radius of a cylindrical water tank is 4.5 ft, and its height is 8 ft. What is the volume of the tank?
Find the probability that a randomly selected point within the white area r=4
Answer:
0.25
Step-by-step explanation:
Lines AB and XY are best described as which of the following?
A
BO
A. Perpendicular segments
B. Perpendicular rays
ОООО
C. Parallel lines
D. Perpendicular lines
Lines AB and XY best describe the perpendicular segments. The correct option is A.
What is a line segment?A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.
A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Lines AB and XY best describe the perpendicular segments. AS they are cutting each other at 90 degrees.
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If a certain roundabout has diameter of 96 feet,
about how far would a car travel if it drove once
around?
A. 150.8 feet
B. 301.6 feet
C. 348.5 feet
D. 7,238.2 feet
9514 1404 393
Answer:
B. 301.6 ft
Step-by-step explanation:
The circumference of the circle is given by the formula ...
C = πd
For a diameter of 96 ft, the circumference of the circle is ...
C = π(96 ft) ≈ 301.593 ft
The car would travel about 301.6 feet.
-10a×4b+20a^2b+4ab-6ab
Step-by-step explanation:
-10a×4b+20a^2b-2ab
-40ab+20a^2b-2ab
-42ab+20a^2b Answer
I'm not sure...
bill,bob,and joe each have 9 oranges. Then a stranger gave Tim 4 oranges. He then gave 3 to his mother.
Which equation shows the
commutative property of addition?
A 2x = 2x
B 2x + 3 = 3 + 2x
C 2x - 3 = 2(x - 3)
D 2(x + 3) = 2x + 6
Answer:
B
Step-by-step explanation:
Have a nice day!
159. Three percent size is the size
Which is equivalent to the series shown?
12
Which expansion is equivalent to the summation
shown?
12
12
20 Σ
1
n=9 n=9
n +
n=9
X
1 1 1 1
20+9+10+11+12+
9 10 11 12
-
Σ (20n +
+
Ź 201n+ )
20
n
n-9
x
1
1
-
1
11
1
12
20(9 + 10 +11+12) +.
9 10
2019 +10 +1
X
1 1 1
20 9+10 +11+12+
9 10 11 12
n +
n-9
12 12
1
12 + 20
n
n=9 n-9
12 12
1
n+
n-9 n=9n
1 1 1
9+10+11+12+ 20
9 10 11 12
20Σ
COMPLETE
Na
Intro
Final
Answer:
first one is (d) second one is (b)
Step-by-step explanation:
It is felt that respondents are more likely to be honest when a randomized response survey is used. Subsequently, a substance-abuse prevention program at a university has designed and distributed the following questionnaire to all the employees and students: Flip a coin. If the coin comes up heads, answer Question a; if tails, answer Question b. All answers are anonymous. a. Do you carpool to the school
Answer:
hello your question is incomplete below is the complete question
answer : 18%
Step-by-step explanation:
x = percentage using illicit drugs
sample size = 5000
number of persons with a yes = 1200
also management knows that 30% uses carpool
∴P ( yes ) = P( H and yes to carpool ) + P( T and yes to illicit drug use )
1200 / 5000 = (0.5 * 0.3 ) + ( 0.5 * x )
0.24 = 0.15 + 0.5 x
hence x ( percentage using illicit drug ) = ( 0.24 - 0.15) / 0.5 = 0.18 = 18%