Answer:
b
Step-by-step explanation:
At a recent marathon, spectators lined the street near the starting line to cheer for the runners. The crowd lined up 5 feet deep on both sides of the street for the first mile. You estimate that 14 people can comfortably fit in a square that measures 5 feet by 5 feet. Using this information, how many people cheered for the runners at the start of the race? 1mile=5280 feet
Answer:
29568 people cheered for the runners at the start of the race
Step-by-step explanation:
From the question, the crowd lined up 5 feet deep on both sides of the street for the first mile.
This lined up crowd could be related to a rectangle that is 1 mile long and 5 feet wide.
First, Convert 1 mile to feet
1 mile = 5280 feet
Hence, the length of the rectangle is 5280 feet and the width is 5 feet.
Now, we will determine how many 5 feet by 5 feet square we can get from the 5280 feet by 5 feet rectangle. To do that, we will divide 5280 feet by 5 feet
5280 feet ÷ 5 feet = 1056
Hence, from the rectangle, we can get 1056 5 feet by 5 feet square.
From the question, you estimate that 14 people can comfortably fit in a square that measures 5 feet by 5 feet,
∴ 14 × 1056 people will comfortably fit in the crowed lined up 5 feet deep on one side of the street for the first mile.
14 × 1056 = 14784 people
This is the amount of people that will comfortably fit in the crowed lined up 5 feet deep on one side of the street for the first mile.
Since the crowd lined up on both sides of the street, then
2 × 14784 people will comfortably fit in the crowed lined up 5 feet deep on both sides of the street for the first mile
2 × 14784 = 29568 people
Hence, 29568 people cheered for the runners at the start of the race.
I just don't understand this stuff can someone help
Answer:
question 5: 9.6
Step-by-step explanation:
[tex] \frac{ 5.4}{6.3} = \frac{x}{11.2} [/tex]
[tex] \frac{5.4 \times 11.2}{6.3} = 9.6[/tex]
The Case of the Bogus $20 Bill
A customer goes into a shoe store and buys a pair of shoes for $5, but pays with a counterfeit $20 bill. The shoe store owner does not realize that the $20 bill is bogus. However, the shoe store owner notices that she does not have change for the $20 bill - so she runs to the grocer next door. The grocer gives the shoe store owner four $5 bills for the bogus $20 bill. The shoe store owner returns to her store and gives the customer the shoes and $15 change. Later the grocer arrives at the shoe store with the FBI to inform the owner that the $20 bill was bogus! So the shoe store owner is forced to give the grocer $20, and the FBI keeps the bogus bill. How much did the shoe store owner lose?
Answer:
15 dollars
Step-by-step explanation:
they lost 20 but made 5 back from the "sale"
The circumference of a circle measures 11.27 pie ft. What is the measure of the diameter of this circle?
Answer:
11.27
Step-by-step explanation:
If I understand you question right...
C = d x π
11.27 π = d x π
divide both sides by π
11.27 = d
3.2, 3 ⅔, 3.25, 3 ½ greatest to least
Answer:
3.2, 3.25, 3 1/2, 3 2/3
Step-by-step explanation:
You can put them on a number line and find out the order. Or, convert to decimals or fractions.
Using the smart method, set yourself an academic short term goal for 2021
Answer:
this is based around your own learning but do something relatively easy to get it over with quickly. for example, in soccer will score a goal by the end of the season.
Step-by-step explanation:
specific, measurable, attainable, realistic, and timely
If the radius of a pizza has a length of
X + 5 units, what is the area of the
pizza? What is the value when x = 10
inches?
Answer:
225π inches²
Step-by-step explanation:
Assuming the pizza to be a circle, its area is calculated below:
[tex]A=\pi r^2\\A=\pi(x+5)^2\\A=\pi(10+5)^2\\A=\pi(15)^2\\A=225\pi[/tex]
Thus, the radius of the pizza is [tex]225\pi[/tex] inches² when x is 10 inches.
A marble is randomly selected from a bag that contains 3 green marbles, 6 orange marbles, and 3 red marbles. The marble is replaced, and another marble is randomly selected. What is the probability of selecting a green and then an orange marble?
find the three consecutive even intergers such that the sum of twice the smallest number and three times the largest is 42
Answer:
6, 8, 10.
Step-by-step explanation:
Let n be any integer.
Then our first even integer will be [tex]2n[/tex]
And the consecutive integers will be [tex]2n+2[/tex] and [tex]2n+4[/tex]
We want to find the integers such that the sum of twice the smallest number (2n) and three times the largest number (2n+4) is 42. In other words:
[tex]2(2n)+3(2n+4)=42[/tex]
Solve for n. Distribute:
[tex]4n+6n+12=42[/tex]
Combine like terms:
[tex]10n+12=42[/tex]
Subtract 12 from both sides:
[tex]10n=30[/tex]
Divide both sides by 10:
[tex]n=3[/tex]
So, the value of n is 3.
This means that our first even integer is 2(3) or 6.
So, our sequence of integers is: 6, 8, 10.
And we're done!
Notes:
We use 2n because anything integer multiplied by 2 ensures that the resulting number is even. Starting out, n can be either even or odd, but by multiplying it by 2, we will get an even number.
Work out area of the triangle and give answer to 1.dp
Answer:
A ≈ 62.8 cm²
Step-by-step explanation:
the area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] ab sinC
where a = 10, b = 13 and C = 105° , then
A = [tex]\frac{1}{2}[/tex] × 10 × 13 × sin105° = 65 × sin105° ≈ 62.8 cm² ( to 1 dec. place )
2. What is the slope of the line that passes
through the points (10, 4) and (-8, 6)?
A
9
B
с
-
-
D
18
2
Answer:
1/-9
Step-by-step explanation:
First you need to calculate rise over run with the equation [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] in this case that would be 6-4 over -8 - 10 this gets you 2/-18. This means the "rise" is 2 and the "run" is -18. This can be simplified to 1/-9.
Amari can spend at most $40 at the fair. It cost her $12 to enter the fair and $3 per ticket, t, to ride the rides.
Answer:
i have no idea if you're looking for how many rides she can go on or the equation so i'll give you both lol.
Step-by-step explanation:
3t + 12 = 40
t represents the number of tickets (rides)
$12 is the entry fee.
$3 is the cost per ticket
to solve, use the subtraction property of equality. (subtract 12 from both sides)
3t + 12 - 12 = 40 - 12
3t = 28
divide each side by 3.
3t/3 = 28/3
28/3 = 9.3333...
amari can go on a maximum of 9 rides ($27) and stay within her budget of $40 or less.
$27 + $12 = $39.
she will have $1 left over.
The inequality in the given situation is 3t+12≤40
Given that, Amari can spend at most $40 at the fair.
What is inequality?Inequalities are mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Now, the cost her $12 to enter the fair and $3 per ticket, t, to ride the rides.
Here, $3 per ticket, t, to ride the rides = 3t
So, the inequality is 3t+12≤40
Therefore, the inequality in the given situation is 3t+12≤40.
To learn more about inequality visit:
https://brainly.com/question/20383699.
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"Your question is incomplete, probably the complete question/missing part is:"
Amari can spend at most $40 at the fair. It cost her $12 to enter the fair and $3 per ticket, t, to ride the rides.
The inequality ___ represents the amount of money Amari has left to purchase tickets after she enters the fair.
Calculator
What is the slope of the line passing through the points (1, 2) and (5, 4)?
N
O 2
O-2
0 1
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{1}}}\implies \cfrac{2}{4}\implies \cfrac{1}{2}[/tex]
the expression 8^-4x8^6 is equivalent to
Answer:
8^2
Step-by-step explanation:
100 BRAINLY POINTS!!!
The table shows the years of education and the weekly compensation of several people.
What type of association exists between the years of education and the weekly compensation?
A. no association
B. positive association
C. negative association
D. nonlinear association
PLEASE HELP
Positive correlation = positive association Negative correlation = negative association
help please i don’t understand and this is do today :/!!
The tens digit of a three digit number exceeds its units digits by 3. If we were to swap the 100's digit and the unit's digit, the new number would be 297 more than the original number. If we were to remove the hundreds digit from the original number, the two digit number obtained would be 13 less than half the original number. What's the original number?
Answer: 174
Step-by-step explanation:
Let's define the notation:
U = units digit
T = tens digit
H = hundreds digit.
Where the number is HTU.
We know that:
T = U + 3
"UTH" - "HTU" = 297.
"TU" = "HTU"/2 - 13.
First, let's wrote this correctly, and make a system of equations:
T = U + 3.
U*100 + T*10 + H - H*100 - T*10 - U = (U - H)*99 = 297.
T*10 + U = (H*100 + T*10 + U)/2 - 13 = H*50 + T*5 + U*0.5 - 13
Then we have the system of equations:
T = U + 3.
(U - H)*99 = 297
T*10 + U = H*50 + T*5 + U*0.5 - 13.
First, we can replace the first equation into the third one, so now we have only two variables.
(U - H)*99 = 297
(U +3)*10 + U = H*50 + (U + 3)*5 + U*0.5 - 13.
Now we can isolate H in the first equation and get:
(U - H) = 297/99
H = -297/99 + U.
Now we can replace it into the other equation:
(U +3)*10 + U = (-297/99 + U)*50 + (U + 3)*5 + U*0.5 - 13.
Now let's solve this for U.
U*10 + 30 + U = U*50 -150 + 5*U + 15 + U*0.5 - 13
11*U + 30 = U*(50 + 5 + 0.5) - 148
30 +148 = U*(55.5 - 11) = U*44.5
U = 178/44.5 = 4.
Then using the previous equations:
T = U + 3 = 4 + 3 = 7
H = -3 + U = -3 + 4 = 1.
Then our number is:
174.
HELP PLEASEEEEEEEEEEEE!
Answer:
-8
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
Pull out like factors : 16 + 2x = 2 • (x + 8)
Solve::x+8 = 0
Subtract 8 from both sides of the equation::x = -8
I need help finding the measure of the missing angles
Answer:
x = 61°
y = 29°
Step-by-step explanation:
Since x°+29° is a right angle (90°), you would have to subtract 29 from 90 to get x.
90 - 29 = x
90 - 29 = 61
x = 61°
For y: You can infer that y°+x°=90° as well because the angles are corresponding angles. So to find y°, you would do the same thing as finding x.
90 - x = y
90 - 61 = 29
y = 29°
Hope this helps :)
80/91 + 5/9 in fraction pls
Answer:
Your answer is: (a little big) ----> 1175/819
Mixed number form: 1 356/819
Combine the fractions by finding a common denominator.
Step-by-step explanation:
Hope this helped : )
Answer:
1175/819
Step-by-step explanation:
80/91 = 720/819
5/9 = 455/819
720 + 455 = 1175
We will not add the denominators
I hope this helps!
can anyone help me please? and tell me what to shade
:) Good Luck! You got this, and hope this helps!
Question 4
Solve for m.
m+ 7 = 3 + m + 4
1
m=
m = -7
no solution
infinite
solutions
infinitely many solutions
Step-by-step explanation:[tex]m+7=3+m+4[/tex]
Combine like terms
[tex]m+7=7+m[/tex]
Rearrange variables to the left side of the equation
[tex]m-m=7-7[/tex]
Apply the Inverse Property of Addition
[tex]m-m=7-7\\ 0=0[/tex]
Bases on the given conditions, the (system of) equation(s) has
[tex]infinitely\ many\ solutions[/tex]
I hope this helps you
:)
The sum of twice a number and three times a number is triple the quantity of five more than a number. Find the number.
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
First you have to translate the words to numbers into an understandable equation like this...
[tex]2x+3x=3(x+5)[/tex]
Now we can solve for x...
[tex]2x+3x=3(x+5)\\2x+3x=3x+15\\5x=3x+15\\2x=15\\x=7.5[/tex]
So the number is 7.5
5/2 is the number if the sum of twice a number and three times a number is triple the quantity of five more than a number then the number.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, The sum of twice a number and three times a number is triple the quantity of five more than a number.
Assuming the number has a unique multiple of x.
∴ 2x + 3x = (3x + 5).
2x = 5.
x = 5/2.
learn more about numerical expression here :
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Is the open sentence 3z = 2z + 5 true or false when z = 5?
Answer:
Your answer to your question is FALSE!!!!!!
Answer:
True
Step-by-step explanation:
Plug the value of z in: 3(5) = 2(5) + 5Simplify: 15 = 10 + 510 + 5 = 15So, the open sentence is true.I hope this helps!
PLEASE ANSWER THIS! WILL GIVE BRAINLIEST TO WHOM ANSWERS FIRST!!
You can by 20 fluid ounces of shampoo for $4.40 at Wal Mart or 24 fluid ounces for $4.80 at Smith's. Which is the better buy?
Answer:24 oz at smiths
Step-by-step explanation:
4.40/20 =.22 c per oz
4.80/24=.20 c per oz
can anyone show how to do this....6840 ÷ 7
6840 ÷ 7 = ?
6840 | 7
63 977
=54
49
=50
49
=1
⇒ 6840 ÷ 7 = 977 remainder 1
An airplane cruises 1 kilometer in 1/12 of a minute. What is its cruising speed?
Answer:
the plain is going 12km in one minute
Step-by-step explanation:
Chloe, Anita, and Lily each bought a toy fish. Lily's fish is 2 inches longer than twice the length of Anita's fish. Anita's fish is 12 inches long. Lily's fish is _____ inches long.
Answer:
26 inches.
Step-by-step explanation:
Lilly: 12 x 2 + 2 = 26
Anita: 12
One leg of a right triangle is 10 units, and its hypotenuse is 12 units, What is the length of its other leg? (show your work)
Answer:
6.6 unitsStep-by-step explanation:
see attached image
use Pythagorean to solve the other leg of a triangle
b = [tex]\sqrt{12^2 - 10^2}[/tex]
b = [tex]\sqrt{44}[/tex]
b = 6.6 units
You randomly draw a marble from a bag, record its color, and then replace it. You draw a red marble 9 out of 25 times. What is the experimental probability that the next marble will be red? Write your answer as a fraction, decimal, or percent.
The experimental probability that the next marble will be red is
.
Does it say how many of the marbles in the bag are red? Normally you will want to divide the amount of red marbles to the amount total marbles and you will get a percent. It's also note worthy that it states the marble going back into the bag. It would change if it was left out still.