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Sphinxa [80]
3 years ago
14

Ben, sean, alexis and samantha divide a $47 so that ben and sean together got $27, ben and alexis got $25, and ben and samantha

got $23. How much did alexis get?
Mathematics
1 answer:
ELEN [110]3 years ago
8 0

Answer:

$11

Step-by-step explanation:

Let Ben has b,

sean has s

alexis has a

samantha has s

Money.

We need to write the words into equations and solve as we can.

b + s + a + s = 47

b + s = 27

b + a = 25

b + s = 23

We need to find a.

Let's put 2nd equation in first, to get:

27 + a + s = 47

a + s = 20 ---------- 5th equation

Now let's solve 4th equation for b and put it into 3rd equation:

b + s = 23

b = 23 - s

Putting in 3rd equation:

23 - s + a = 25

a - s = 2 ---------------6th equation

Now, add up 5th and 6th equation to get a:

a + s = 20

a - s = 2

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

2a = 22

a = 22/2 = 11

Alexis got $11

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Step-by-step explanation:

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TO make it in one trig ratio, we can replace sin2x as 2sinx cosx

WE get now

2sinxcosx+cosx=0\\

cosx(2sinx+1)=0\\cosx=0, sinx =-0.5\\

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4 0
2 years ago
A soup kitchen makes 15 gallons of soup each day a quarter of the soup is served and the rest is saved for the next day , what i
Sophie [7]

Number of ounces left is 1120

Step-by-step explanation:

  • Step 1: Find number of ounces left after each day.

Given total soup prepared each day = 15 gallons

Amount served each day = 1/4 of 15 = 15/4 gallons

Amount left after each day = 15 - 15/4 = 60 - 15/4 = 35/4 gallons

  • Step 2: Convert gallons into ounces. 1 gallon = 128 ounces

35/4 gallons = 35/4 × 128 = 1120 ounces

5 0
3 years ago
Tickets to a concert cost $70, or $20 with a student discount. Ticket sales must exceed $500,000 for the group to perform. If 20
Angelina_Jolie [31]

Solution:

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Let y = the number of $20 seats sold

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4 0
2 years ago
Read 2 more answers
The dimensions of a garden are 30' by 20'. If a model garden with the scale of 10' = 5'' is to be made, find the dimensions of t
olchik [2.2K]

Answer:

15" by 10"

Step-by-step explanation:

Use a proportion.

10'/5" = 30"/x

10x = 5 * 30

10x = 150

x = 15"

10'/5" = 20'/y

10y = 5 * 20

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Answer: 15" by 10"

8 0
2 years ago
Please help 25 points and brainliest
-BARSIC- [3]

Answer:

1a. 8

1b. AB & BC

1c. AC

2. \sqrt{52} miles

3. NO

Step-by-step explanation:

1a. AC is your hypotenuse which is C² and BC is B², so we plug it in the equation.

A²+6²=10²

A²+36=100

A²=64

A=\sqrt{64}

A=8

1b. Legs are the two shorter sides, AB & BC, which are 6 & 8 respectively.

1c. The hypotenuse is the longest side AC

2. Make lines that make the graph for a triangle with a line. My graph is linked below. Then counts the points, AC=6, BC=4, then use the pythagorean therom.

6²+4²=X²

36+16=52

\sqrt{52}=X

3. 15²+17²=19²

514=361

not possible

so it is not a right triangle

7 0
2 years ago
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