The Wilson family invited 100 relatives to their Christmas party. 90 guests had Dutch heritage, 80 had German heritage and 75 had English heritage. What is the minimum number of people who claimed ancestry from all three heritages? What is the formula i use to find out the answer of the question? and how do i find out the answer?

Answer:

(2, 10)

Step-by-step explanation:

If you graph the line and all 3 points, you can tell that only (2, 10) lies on the point, therefore, it would make the equation true. You can also figure it out algebraically.

[tex]10 = 7(2) - 4\\\rule{150}{0.5}\\10 = 14 - 4\\\\\boxed{10=10}[/tex]

Hope this helps.

Answer:

$7.20

Step-by-step explanation:

If 8 pens cost $3.84, we need to find out how much ojne pen costs.

To find out the cost of one pen we need to divide $3.84 by 8.

$3.84 / 8 = $0.48

1 pen cost $0.48

We then need to work out the cost of 15 pens. So from using the information that one pen costs $0.48 we can multiply that by 15 to find out the answer.

$0.48 x 15 = $7.20

15 pens cost $7.20

Answer:

y = [tex]\frac{a^2-ab}{a+1}[/tex]

Step-by-step explanation:

a - y = b + [tex]\frac{y}{a}[/tex] ( multiply through by a to clear the fraction )

a² - ay = ab + y ( subtract y from both sides )

a² - ay - y = ab ( subtract a² from both sides )

- ay - y = ab - a² ← factor out y from each term on the left side

y(- a - 1) = ab - a² ( divide both sides by - a - 1 )

y = [tex]\frac{ab-a^2}{-a-1}[/tex] ( multiply numerator/ denominator by - 1 )

y = [tex]\frac{a^2-ab}{a+1}[/tex]

The function that models this given situation is 3x = 25.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, my family bought a movie card from a DVD store that entitles you to rent 25 movies.

Assuming no. of weeks to be x, therefore i can watch movies for

3x = 25 weeks at 3 movies rented each week.

learn more about functions here :

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Answer:

no

Step-by-step explanation:

for two shapes to be equal the respective angles and sides must be congruent. since 34 doesnt equal 36, the two arent congruent

Answer:

I can't understand what to do, so I hope this helps

15c=0

c=0/15 or c=0

Step-by-step explanation:

15c + 11 + 6 = 17

subtract 11 from both sides

15c + 6 = 6

subtract 6 from both sides

15c=0

divide both sides by 15

c=0/15

Answer:

solution

5x4=20

20-10=10

:kenza need 10 cookies

next method

solution

friends of kenza are =5

wanted cookies for per friends is=4

now

5x4

=20

again

20divide 10=2

then

: she need 2 box .

Answer:

Kenza should get 2 boxes.

Step-by-step explanation:

Total number of cookies needed

= 5×4

= 20

Number of boxes needed

= 20÷10

= 2

Answer:

y = 2x - 5

Explanation:

Since the slope is given as 2, we can substitute this into the equation:

y = 2x+b

Now, we can manipulate the point (-1,-7) to be in the form of a y-intercept - (0, y).

Note that a slope of 2 = 2/1, which means the rise = 2(which is added to the y) and run = 1(which is added to the x).

Adding this to our point of (-1,-7), we get:

((-1+1),(-7+2)) = (0, -5)

Therefore -5 is our y-intercept.

Now, substituting -5 into our equation, we get:

y = 2x + -5

Answer:

y=2x-5

Step-by-step explanation:

The slope-intercept form of an equation looks like y=mx+b. Where m is the slope and b is the y-intercept. The slope is already given to us, so m is 2.

To find b use the equation [tex]b=y_1-m*x_1[/tex]. So, to find the y-intercept use b=-7-(2*-1). This equals b=-5.

So, plug in the values to get the final equation y=2x-5.

Step-by-step explanation:

that is very simple. you do understand the word "perimeter" ? it just means the distance when walking around the whole shape once.

and that clearly means to just add all side lengths.

that's it.

so, 25 + 18 + 18 + 20 + 17 = 98 ft

was there any other problem with this you did not understand ?

Answer:

D is the correct answer

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

[tex]\frac{3x-1}{x-2}=x-2x(x-4) <=>\frac{3x-1}{x-2}=x-2x^{2} +8x \\<=>\frac{3x-1}{x-2}=-2x^{2} +9x<=>3x-1= (-2x^{2} +9x)(x-2)\\<=>3x-1= -2x^3+4x^{2} +9x^{2} -18x\\<=>3x-1=-2x^3+13x^{2} -18x\\<=>2x^3 -13x^{2} +18x+3x -1=0\\<=>2x^3 -13x^{2}+21x-1=0\\<=> x =0.05 /or/x=3.7[/tex]

ok done. Thank to me :>

Answer:

100 mins or 1⅔ hrs

Step-by-step explanation:

¾ hr = ¾ × 60 mins

¾ hr = 45 mins

55 + 45 = 100

100 mins = 100 × hr/60

100 mins = 1⅔ hrs

Answer:

100 mins or 1⅔ hrs

Step-by-step explanation:

¾ hr = ¾ × 60 mins

¾ hr = 45 mins

55 + 45 = 100

100 mins = 100 × hr/60

100 mins = 1⅔ hrs

So it took them  1 2/3 hrs to get to school

60.6 hours Jalen have made over $500.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Jalen earns $33 for babysitting 4 hours.

So, in one hour Jalen earns = 33/4

                                              = $8.25

and, if Jalen have to made over $500 then she works

= 500/ 8.25

= 60.6 hours

Hence, 60.6 hours Jalen have made over $500.

Learn more about unitary method here:

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Step-by-step explanation:

so, what is the problem with the first one ?

you only need to put the specified values into the places of the variables and then simply calculate :

2×-5 + 8×6 = -10 + 48 = 38

that is how expressions, equations and functions work.

for the second, I am counting only the squares with their clear "majority" inside the line. any small parts of squares I ignore.

so,

first row : 3

second row : 5

third row : 5

fourth row : 6

fifth row : 7

sixth row : 7

seventh row : 4

eighth row : 2

total : 39

Answer:

3/y

Step-by-step explanation:

15x

5xy

you would divide top and bottom by 5x, since it is their only common divisor.

you would then get 3/y. hope this helps

Answer:

1/2

Step-by-step explanation:

12 / 24 = 1/2

Answer:

12/24

Step-by-step explanation:

use the stander rise over run since the rise is 12 it goes over the run which is 24

Answer:

AB = 105

Step-by-step explanation:

Since ∠ A and ∠ B  are equal then Δ ABC is isosceles with 2 congruent legs.

AC = BC , substitute values

6x - 7 = 5x + 7 ( subtract 5x from both sides )

x - 7 = 7 ( add 7 to both sides )

x = 14

Then

AB = 7x + 7 = 7(14) + 7 = 98 + 7 = 105

Answer:

2x³-2x²-3x-14

Hope it helps you

Answer:

0.25 book/hour

Step-by-step explanation:

(1/6)/(2/3)=x/1

*Simplify the equation

1/4=x

*Rearrange the equation

x=1/4

x=0.25 book/hour

#a

[tex]\\ \sf{:}\Rrightarrow 15x+30y\geqslant 150[/tex]

[tex]\\ \sf{:}\Rrightarrow x+y\geqslant 10[/tex]

And

[tex]\\ \sf{:}\Rrightarrow 0.5x+2y\geqslant 8[/tex]

#2

Attached

#3