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ss7ja [257]
3 years ago
15

A Survey says that 300 people want tea water or coffee, 10 people for tea, 34 people for coffee and 6 for water, predict the num

ber of people who will drink coffee
Mathematics
1 answer:
seropon [69]3 years ago
8 0

Answer: 204

Step by step equation: Adding all those number would be 50 and 50 is 1/6 of 300, multiplying each number by 6 would be the proportion for 300 people

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Someone please explain this step by step:
Volgvan

Answer:

  13

Step-by-step explanation:

Perhaps the most straightforward way to find the value of the given function is to first solve the equations for x and y. The results can be substituted into your expression to find the value you want.

__

<h3>solving the system</h3>

We notice the y-coefficients are opposites, so we can eliminate the y-variable by adding the equations.

  (2x -y) +(x +y) = (3) +(1)

  3x = 4 . . . . . . simplify

  x = 4/3 . . . . . divide by 3

The value of y can be found from the second equation:

  4/3 +y = 1 . . . . substitute for x

  y = -1/3 . . . . . . subtract 4/3

<h3>expression value</h3>

The value of 8x-7y is found by substituting the x- and y-values into this expression:

  8(4/3) -7(-1/3) = 32/3 +7/3 = 39/3 = 13

The value of 8x-7y is 13.

_____

<em>Additional comment</em>

You can also work out what combination of the two equations will give 8x -7y. That turns out to be 5 times the first minus 2 times the second:

  5(2x -y) -2(x +y) = 5(3) -2(1)

  10x -5y -2x -2y = 15 -2

  8x -7y = 13

__

The coefficients 5 and -2 are found by solving the system of equations ...

  a(2x -y) +b(x +y) ≡ 8x -7y   ⇒   {2a +b = 8, -a +b = -7}

3 0
1 year ago
The face of the triangular concrete panel shown has an area of 22 square meters, and its base is 3 meters longer than twice its
Elodia [21]

Answer:

The length of the base is 11 meters.

Step-by-step explanation:

The diagram of the triangle is not shown; However, the given details are enough to solve this question.

Given

<em>Shape: Triangle</em>

<em>Represent the height with h and the base with b</em>

b = 3 + 2h

Area = 22

Required

Find the length of the base

The area of a triangle is calculated as thus;

Area = \frac{1}{2} * b * h

Substitute 22 for Area and 3 + 2h for b

The formula becomes

22 = \frac{1}{2} * (3 + 2h) * h

Multiply both sides by 2

2 * 22 = 2 * \frac{1}{2} * (3 + 2h) * h

44 = (3 + 2h) * h

Open the bracket

44 = 3 * h + 2h * h

44 = 3h + 2h^2

Subtract 44 from both sides

44 - 44 = 3h + 2h^2 - 44

0 = 3h + 2h^2 - 44

Rearrange

0 = 2h^2 +3h - 44

2h^2 +3h - 44 = 0

At this point, we have a quadratic equation; which is solved as follows:

2h^2 +3h - 44 = 0

2h^2 + 11h - 8h - 44 = 0

h(2h + 11) - 4(2h + 11) = 0

(h - 4)(2h + 11) = 0

Split the above

(h - 4) = 0\ or\ (2h + 11) = 0

h - 4 = 0\ or\ 2h + 11 = 0

Solve the above linear equations separately

h - 4 = 0

Add 4 to both sides

h - 4 + 4 = 0 + 4

h = 0 + 4

h = 4 ---- <em>First value of h</em>

2h + 11 = 0

Subtract 11 from both sides

2h + 11 - 11 = 0 - 11

2h  = 0 - 11

2h = -11

Divide both sides by 2

\frac{2h}{2} = -\frac{11}{2}

h = -\frac{11}{2}<em> ------ Second value of h</em>

Since height can be negative, we'll discard h = -\frac{11}{2}

Hence, the usable value of height is h = 4

Recall that b = 3 + 2h

Substitute 4 for h

b = 3 + 2(4)

b = 3 + 8

b = 11

Hence, the length of the base is 11 meters

3 0
3 years ago
There are some cubes in a bag.
dedylja [7]
1:5 is the answer in 1:n form
8 0
2 years ago
____ is a common denominator because 3 goes into it and 4 goes into it.
Nezavi [6.7K]

Answer:

12

Step-by-step explanation:

the lcm of 3 and 4 is 12

5 0
3 years ago
PLEASE HELP! I’ll GIVE THE BRAINLIEST TO WHOEVER ANSWERS CORRECTLY!!
wariber [46]

Answer:

its 8.5

Step-by-step explanation:

8 0
2 years ago
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