Answer:
There are 3,628,800 different ways for the runners to finish.
Step-by-step explanation:
Arrangments of x elements:
The number of possible arrangments of x elements is given by the following formula:
[tex]A_{x} = x![/tex]
In this question:
10 different runners, which means that the number of different ways that there are for the runners to finish is an arrangment of 10 elements. So
[tex]A_{10} = 10! = 3628800[/tex]
There are 3,628,800 different ways for the runners to finish.
A man needed to sell a car. He priced it at 3500 the first day. The second day he reduced the price by 15%. What was the price of the car after this reduction?
Answer:
Step-by-step explanation:b
Holiday dinners at June’s house are always a festive occasion. One particular holiday, June has 16 guests.
June offers the guests apple pie and blueberry pie. While any guest can have slices of both pies, June never serves a particlar guest more than one slice of each pie and each guest is allowed to decline any slice of pie they don’t care for.
June serves a total of 10 slices of apple pie and a total of 11 slices of blueberry pie.
June serves 8 guests slices of both pies.
How many guests had no pie at all?
a. 3
b.2
c.0
Answer:
a. 3
Step-by-step explanation:
We solve this question gathering the information given in the question.
June serves 8 guests slices of both pies.
This is soon going to be used
June serves a total of 10 slices of apple pie
This includes the 8 guests which got served both pieces. So 10 - 8 = 2 guests were served only apple pie.
11 slices of blueberry pie.
By the same logic as above, 11 - 8 = 3 guests were served only blueberry pie.
So
8 + 2 + 3 = 13 guests were served at least one pie.
16 - 13 = 3 guests had no pie at all.
What is 1/2 divided by 1/3
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
[tex]\frac{1}{2}[/tex] ÷ [tex]\frac{1}{3}[/tex]
The reciprocal of [tex]\frac{1}{3}[/tex] is 3, so finding the reciprocal will replace the division sign with a multiplication sign.
= [tex]\frac{1}{2}[/tex] x 3
= [tex]\frac{3}{2}[/tex] or 1[tex]\frac{1}{2}[/tex] or 1.5
what expression is equal to 632
Answer:
2^3(3x5^2+2^2) = 632
Step-by-step explanation:
i big brain
Answer:
Step-by-step explanation:
Why does 3x4 and 3x4 the same answer?
Answer:
bc the are both the same numbers. So the answer is 12. :>
Step-by-step explanation:
Answer:
because thay are the same problom
Step-by-step explanation:
3x4 is 12
find the value of x in the figure below
Answer:
24
Step-by-step explanation:
cuz its an iscosceles triangle so the angles are the same so
2x-4=44 and solve
Find the zeros of the function.
Enter the solutions from least to greatest.
f(x) = 5x^2 - 20
lesser x =
greater x =
Answer:
lesser x = -2
greater x = 2
Step-by-step explanation:
The values of a function f(x) are the values of x for which f(x) = 0.
In this question:
[tex]f(x) = 5x^2 - 20[/tex]
So, finding the zeros:
[tex]5x^2 - 20 = 0[/tex]
[tex]5x^2 = 20[/tex]
[tex]x^2 = \frac{20}{5}[/tex]
[tex]x^2 = 4[/tex]
[tex]x = \pm \sqrt{4}[/tex]
[tex]x = \pm 2[/tex]
So
lesser x = -2
greater x = 2
How many 1 1/2 -pound loaves of bread can be made from 9 pounds of dough?
Answer:
6
Step-by-step explanation:
You divide 9 by 1 1/2.
Factor the algebraic expression.
30a + 25
Answer:
5(6a+5)
Step-by-step explanation:
Which expression is equal to 27 when x = -6?
A (-x)2 - 9
B (-2x)2 - 120
C 10(-x) +33
D 3(x-4) + 3
Answer:
C
Step-by-step explanation:
i got C & D to both be -27 but I think I made a mistake in C w the negatives so I believe it is C.
I hope this helps, have a great day/ night :)
A circular mirror has a radius of 6 inches what is the circumference of the mirror
Answer:
37.68
Step-by-step explanation:
pie = 3.14
3.14 x 2 = 6.28
6.28 x 6 = 37.68
Answer: 37.68
Step-by-step explanation:
Follow the steps and write the equation represented by this graph.
Step 1: Write the general equation.
Step 2: Identify b, the Y intercept (x = 0) b=
Step 3: The second point from graph (x, y) P=
,
Step 4: Define m as ratio of rise / run m = rise /
Step 5: Put coordinates into ratio and get (7 -
) / (
- 0)
Step 6: Perform subtraction; get slope
/ 1
Step 7: Substitute values into y = mx + b
Step 8: Write answer y =
x +
Answer:
y = 4x + 3
Step-by-step explanation:
Step 1: Write the general equation
y = mx + b
Step 2: Identify b, the Y intercept (x = 0)
b is the value of y when x = 0.
From the graph, when x = 0, y = 3.
Therefore, b = 3
Step 3: The second point from graph (x, y):
P = (1, 7)
Step 4: Define m as ratio of rise / run:
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Step 5: Put coordinates into ratio:
Using the two coordinates, (0, 3) and (1, 7), we would have,
[tex] m = \frac{7 - 3}{1 - 0} [/tex]
Step 6: Perform subtraction to get slope:
[tex] m = \frac{4}{1} [/tex]
m = 4
Step 7: Substitute values into y = mx + b:
Thus, plug in the values of m and b into the slope-intercept equation.
b = 3, m = 4, therefore:
y = (4)x + (3)
Step 8: Write answer:
y = 4x + 3
What is a speed of 55 mph equivalent to in units of m/s? ( 1 mile = 1609 m, 1 hour = 3600 s)
9514 1404 393
Answer:
about 24.58 m/s
Step-by-step explanation:
Multiply by conversion factors that change the units, but not the value.
(55 mi/h) × (1609 m/mi) × (1 h)/(3600 s) = (55×1609/3600) m/s
= 88495/3600 m/s ≈ 24.58 m/s
_____
Additional comment
The exact conversion uses 1609.344 meters per mile, so gives exactly 24.5872 m/s.
Please help I will mark brainleist if correct!!
2y-11=25 solve the equation
Answer:
18
Step-by-step explanation:
25 + 11 = 36
36/2 = 18
hope this helps
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
Y = 0 , X = - 3/2
Step-by-step explanation:
Answer:
just give the brainliest to him
Step-by-step explanation:
I WILL GIVE BRAINLIEST PLS I NEED HELP, The scale drawing of a field in the shape of a triangle is shown below.
What is the actual area, in square meters, of this field?
Answer:
20
Step-by-step explanation:
the missing exponent 1,728 =12 (?)
Answer:
x=144
Step-by-step explanation:
solve the following equation.
2x=4
Answer:
2
Step-by-step explanation:
9/45 how to simplify to it lowest term
Answer:
1/5
Step-by-step explanation:
divide numerator and denominator by 9.
(Because that will go into both 9 and 45.)
9/45 = 1/5
Ashley’s school took a field trip. A total of 32 vehicles were needed for the trip. Some students took the bus, and some students car-pooled. There were 27 people on each bus and 3 people in each car. 408 people altogether attended the trip. How many buses and cars were needed for the trip?
Answer:
19 cars
13 buses
Step-by-step explanation:
We have a system of equations as follows
X + y = 32 -----1
3x + 27y = 408 ----2
x = car
y = bus
From equation 1
x + y = 32
x = 32 - y ---- 3
We put equation 3 into equation 2
3(32-y) + 27y = 408
96y -3y + 27y = 408
96 + 24y = 408
24y = 408 - 96
24y = 312
Divide through by 24 to get the value of y
Y = 312/24
Y = 13
We put the value of y in equation 3
x = 32 - 13
x = 19
So 19 cars would be needed for the trip and also 13 buses would also be needed
For what value of x is the rational expression below equal to zero?
X-4
X5
A. -6
B. -4
C. 6
D. 4
Which expression has a value greater than 4^3?
Answer:
(-3)^4
Step-by-step explanation: We just have to evaluate
So, the only expression that exceeds 4^3 is (-3)^4:
PLSSSSS HELP I HAVE BEEN STUCK ON THIS FOR THE PAST HOUR!!!!!!!!!!!!!!!!!!!!!!!!!
Take a factor out of the square root and simplify the expression:
[tex]-0.05*\sqrt{28,800}[/tex]
Answer:
[tex] - 6 \sqrt{2} [/tex]
Step-by-step explanation:
simplify
[tex] \sqrt{28800} [/tex]
to
[tex]120 \sqrt{2} [/tex]
then
-0.05 × 120 = -6
then we have our answer
-6√2
What type of table has the largest area
Answer:
The Rectangular Table Has The largest area of 1460 in^2
what is the square root of 430
Answer:
√430 or 20.74
Step-by-step explanation:
√430
Prime factorize 430
√2 · 5 · 43
There are no pairs to take out of the root, so the most simplified form of √430 is √430.
If you want the decimal form, it is 20.74
Please mark me Brainliest :)
Identify the property you would use to solve this equation:
y - 7 = 28
The property used to solve y - 7 = 28 is the Addition Property of Equality
Help ME PLSSS HURRY!!!!!!
Answer:
None of them are proportiionsal
Step-by-step explanation:
Answer:
i don't even see any proportiionsal
Step-by-step explanation:
Over the course of 6 days Tonda ran 17.22 miles She ran the same distance each day How far did Tonga run each day ?
Work Progress: 17.22mile/6 days = 2.87
Tonda ran 2.87 miles each day.
Answer:
103.32
Step-by-step explanation:so what you need to do is times the decimals so: 17.22 x 6 = 103.32
State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used. The triangles are not drawn to scale.
8
64
T
32
200
19
S
R
16
O ASRQ - AVTU: SAS.
O AQRS - AVTU; SAS.
O ARSQ - AVUT:ASA.
The triangles are not similar
Answer:
Step-by-step explanation:
ΔSRQ and ΔVTU are similar Triangle.
What is the congruent triangle?Triangles are said to be congruent if, under a correspondence, two of a triangle's sides and the angle that connects them are equal to two of another triangle's sides and the angle that connects them.
Given two triangles, ΔRQS and ΔVUT such that,
RS = 16, QR= 64 and VT = 8, UT = 32
If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable.
From the above condition since,
∠R = ∠T
and
[tex]\frac{QR}{SR} = \frac{UT}{VT} = \frac{4}{1}[/tex]
Thus,
ΔSRQ and ΔVTU are similar from the congruency property of SAS.
Learn more about congruent triangles here:
https://brainly.com/question/22062407
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