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tankabanditka [31]
2 years ago
10

50 children had a choice of beans,plantain and rice.21 of them took beans,24 took plantain and 18 took rice.3 took beans only an

d 2 took rice only and 9 took plantain only. 5 took all the three items of food required. A.Draw a venn diagram to illustrate this information. B.Use your diagram to find the number of children who took ,1.plantain and beans only. 2.Rice and beans only.3.none of the three items of food.​
Mathematics
1 answer:
faltersainse [42]2 years ago
4 0

The Venn diagram to illustrate this information is given in the image attached.

<h3>What is the Venn diagram about?</h3>

The number of children who took plantain and beans only are:

Let  beans = a

Rice = b

Plantain = P

So:  a + b = 24 - 9 - 5 = 10

Note that 24 children took plantain.

9 children took only Plantain.

5 took the 3 food items.

So:

b + c = 18 -2 - 5 = 11

a + c = 21 - 3 - 5 = 13

P∩B = a + 5

= 6 + 5 = 11

R ∩ B = C + 5

=7 + 5 = 12

None of the three items of food =  

50 - (3 + 2 + 9 + 6 + 4 + 7 + 5)

= 50 - 36

=14

Learn more about Venn diagram from

brainly.com/question/2099071

#SPJ1

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Answer:

Equation in slope-intercept form is \mathbf{y=3x}

Step-by-step explanation:

We need to write equation  in  slope-intercept form to  represent the relationship  shown in the table.

The general equation of slope-intercept form is: y=mx+b

where m is slope and b is y-intercept.

Finding slope using point (-2,-6) and (0,0)

The formula used is: Slope=\frac{y_2-y_1}{x_2-x_1}

We have x_1=-2, y_1=-6, x_2=0, y_2=0

Putting values and finding slope

Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{0-(-6)}{0-(-2)}\\Slope=\frac{6}{2}\\Slope=3

Using slope m= 3 and point (-2,-6) we can find y-intercept

y=mx+b\\-6=3(-2)+b\\-6=-6+b\\b=-6+6\\b=0

So, we have y-intercept b =0

Equation in slope-intercept form having slope m= 3 and y-intercept b =0 is:

y=mx+b\\y=3x+0\\y=3x

So, Equation in slope-intercept form is \mathbf{y=3x}

6 0
3 years ago
Points A, B, and C are collinear. Point B is between A and C. Solve for x. 7) Find x if AB = 65, BC = 8x - 140, and AC = 15x - 2
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Step-by-step explanation:

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A line with a slope of 5 passes through the points (3,8).which of the following is the value of the y-intercept
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Step-by-step explanation:

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3 years ago
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x=28

Step-by-step explanation:

cos60°=14/x

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X^2 - 12x + 19 in the form of (x + a)^2 + b ???
kow [346]

Answer:

( x-6)^2 -17

Step-by-step explanation:

X^2 - 12x + 19

we need it in given below form

(x + a)^2 + b

we know that

(x + a)^2 = x^2 + 2ax + a^2\\

lets convert that in same form

X^2 - 12x + 19 = x^2 + 2(-6)x + 19

comparing x^2 + 2(-6)x to x^2 + 2ax

we have a -6

now

(x-6)^2 = x^2 + 2(-6)x + 36

36 is missing in the x^2 + 2(-6)x + 19 hence to get that

we add and subtract 36 in the above equation

so we have

x^2 + 2(-6)x + 19 + 36 -36

rearranging  it \

(x^2 + 2(-6)x  + 36) -36 + 19    (x^2 + 2(-6)x  + 36 =( x-6)^2)

=>( x-6)^2 -17

comparing the above equation to

(x + a)^2 + b

we have a = -6

b = -17

( x-6)^2 -17

7 0
3 years ago
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