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3 years ago

Andy, Brenda and Carla are running a race. in how many different ways can the students finish in first, second and third place

Mathematics

1 answer:

Bingel [31]3 years ago

7 0

Let's call them A B and C.

ABC
ACB
BAC
BCA
CAB
CBA

so there's 6 different ways

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A department store sold 51 51 shirts one day. All short-sleeved shirts cost $14.00 $ 14.00 each and all long-sleeved shirts cost

Dmitrij [34]

Answer:

28 short-sleeved shirts were sold and 23 long-sleeved shirts were sold.

Step-by-step explanation:

We can solve this question by a system of equations.

I am going to say that:

x is the number of short-sleeved shirts sold.

y is the number of long-sleeved shirts sold.

A department store sold 51 shirts one day.

This means that $x + y = 51$

All short-sleeved shirts cost $14.00 each and all long-sleeved shirts cost $23.00 each. Total receipts for the day were $921.00.

This means that

$14x + 23y = 921$

How many of each kind of shirt were sold?

We have to solve the system of equations.

$x + y = 51$

$x = 51 - y$

--------------

$14x + 23y = 921$

$14(51 - y) + 23y = 921$

$714 - 14y + 23y = 921$

$9y = 207$

$y = \frac{207}{9}$

$y = 23$

--------

$x = 51 - y = 51 - 23 = 28$

28 short-sleeved shirts were sold and 23 long-sleeved shirts were sold.

7 0

3 years ago

Plis i need help whit this questionss

zmey [24]

Question 1: x+2 = 8 doesn't belong in the given equations.

Question 2: The possible values for y are 0,1 and 2

Step-by-step explanation:

Question: Which one doesn't belong?

We will solve each equation one by one to get which equation doesn't belong with others

So,

$x+4 = -2\\x+4-4 = -2-4\\x = -6$

$x+5 = -1\\x+5-5 = -1-5\\x = -6$

$x+2 = 8\\x+2-2 = 8-2\\x = 6$

$3-x=9\\3-x-3 = 9-3\\-x = 6\\x = -6$

Hence,

x+2 = 8 doesn't belong in the given equations.

Question 2:

Given equation is:

$x+y = 5$

It is given that the values of x will be greater than 2 and less than 6 so values of x can be 3,4 and 5

So,

$3+y = 5\\y = 5-3\\y = 2\\\\4+y = 5\\y = 5-4\\y = 1\\\\5+y = 5\\y = 5-5\\y = 0$

Hence,

The possible values for y are 0,1 and 2

So,

x+2 = 8 doesn't belong in the given equations.

The possible values for y are 0,1 and 2

Keywords: Linear equation, variables

Learn more about linear equations at:

#LearnwithBrainly

8 0

3 years ago

Which equation represents a line that passes through (–2, 4) and has a slope of StartFraction 2 Over 5 EndFraction.?

vivado [14]

Answer:

y-4=0.4(x+2)

Step-by-step explanation:

y-y1=m(x-x1)

4 0

3 years ago

What are the values of a 1 and r of the geometric series? 1 + 3 + 9 + 27 + 81 a 1 = 1 and r = one-third a 1 = one-third and r =

Dahasolnce [82]

Answer:

Step-by-step explanation:

$1+3+9+27+81\\\\a_1=1,\ a_2=3,\ a_3=9,\ a_4=27,\ a_5=81\\\\r=\dfrac{a_{n+1}}{a_n}\Rightarrow r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=\dfrac{a_5}{a_4}\\\\r=\dfrac{3}{1}=\dfrac{9}{3}=\dfrac{27}{9}=\dfrac{81}{27}=3$

3 0

3 years ago

Read 2 more answers

The endpoints of the diameter of a circle are (-12, 7) and (3, 15). What is the length of the diameter?

seraphim [82]

Answer: 17

Step-by-step explanation:

5 0

3 years ago