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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

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