Diana made 143 treats for her visit to the nursing home. There are 37 patients and she wants each person to get the same number of treats. How many more treats will she need to make in order for each patient to receive 4 treats?

Answer: y = -48/7 + 4x/7

Answer:

-23

Step-by-step explanation:

Using the Factor Theorem, the parabola is given by: [tex]f(x) = 0.05(x^2 - 4x + 4)[/tex]

The graph is sketched at the end of this answer.

The Factor Theorem states that a polynomial function with roots is given by:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In which a is the leading coefficient.

In this problem:

Then:

[tex]f(x) = a(x - 2)(x - 2)[/tex]

[tex]f(x) = a(x^2 - 4x + 4)[/tex]

Point (12,5) means that when [tex]x = 12, y = 5[/tex], and this is used to find a.

[tex]f(x) = a(x^2 - 4x + 4)[/tex]

[tex]5 = a(12^2 - 4(12) + 4)[/tex]

[tex]100a = 5[/tex]

[tex]a = \frac{5}{100}[/tex]

[tex]a = 0.05[/tex]

Hence, the parabola is:

[tex]f(x) = 0.05(x^2 - 4x + 4)[/tex]

At the end of this answer, the graph with five points is sketched.

A similar problem is given at https://brainly.com/question/24380382

Answer:

y is 3,hmmmmmmmmmmmmmmm......aha! x= 46! hope this helps!

Step-by-step explanation:

Answer:

B) (-8, -6, 1)

There are a lot of steps and I don't want to spend the time writing it all out... sorry. :')

Hope this helps :)

[tex]\dfrac{(2 x^{-3} y^{-2})^5}{(6x^{-1} y^{-8})^2}\\\\\\=\dfrac{32x^{-15} y^{-10}}{36 x^{-2} y^{-16}}\\\\\\=\dfrac{8}{9} \left(\dfrac{x^{-15}}{x^{-2}} \right) \left(\dfrac{y^{-10}}{y^{-16}} \right)\\\\\\=\dfrac 89 \left(x^{-15+2} \right) \left(y^{-10 +16} \right)\\\\\\=\dfrac 89 \cdot x^{-13} \cdot y^6\\\\\\=\dfrac{8y^6}{9x^{13}}[/tex]

Answer:

I will clear you.

Step-by-step explanation:

or,x/3-2<4

or,x/3<4+2

or,x<6/3

or,x<2

Answer:

x < 18

Step-by-step explanation:

You solve it like an equation.

First, isolate the x-value to one side by adding 2 to each side:

x/3 - 2 + 2 < 4 + 2

The twos on the left side cancel out:

x/3 < 6

Now multiply both sides by 3:

x/3 x 3 < 6 x 3

The threes on the left side cancel out, leaving you with the x-value:

x < 18

Hope this makes sense :)

True

5 more than a number is an equation because you are adding two values.

Answer:

n+5

Step-by-step explanation:

If we choose the number to be n then 5 more than is 5 added to the number.

hence: n + 5

Answer:

[tex]D: y= -5x+12[/tex]

Step-by-step explanation:

Since the slope is -5 is either C or D. Let's replace [tex]x= 2[/tex] in either to see what we get.

C: [tex]-5(2)-2 = -12[/tex] Nope.

D: [tex]-5(2) +12 = 2[/tex] Good!

Answer:

y = x - 78

Step-by-step explanation:

y = x +-2 -76

y = x -78

Answer:

The number of teaspoons in 15 ml is 3 tsp.

Step-by-step explanation:

All you have to do is divide 15 by 5 and get 3. This is because for every 5 ml there is 1 tsp. So for the 15 ml, there is 3 tsp.

Answer:

the line is perpendicular to what line you didn't mention that

Step-by-step explanation:

Answer:

x/8 + 9 =5

Step-by-step explanation:

Quotient is division and I decided to use x as my number so the first part is x/8. Then you do the nine more because more is addition to whatever is after it in our case it is x/8 so now you have x/8 + 9. Then it says equals 5 so the equation is x/8 + 9 = 5

I hope this helps!

Answer:

x2\2+3\2=h/2 therefore x= -3\2+h\2

Answer:

m = -3

c = 2

Step-by-step explanation:

if m = slope and c = y-intercept:

Convert to slope - intercept form : y = mx + b, or y = mx + c

2y + 6x = 4

2y = -6x + 4

y = -3x + 2

(m)Slope = -3

(c)y - intercept = 2

-Chetan K

Answer:

x=4

y=5

Step-by-step explanation:

because this lines are all parallel, so 17x-y equals to 180°-117°= 63, then you get 17x-y = 63

also, equally you can get the below one

6x+7y = (180°-121°)

6x+7y = 59.

put them together

17x-y=63 (1)

6x+7y =59 (2)

you can transform the (1) to y= -(63-17x)

then you get the second one

6x+7(-(63-17x))=59

then you get x

finally you get the result of x into any of the equation

you get y ultimately.

x = 6 can be represented on the number line and hence it is real

Step-by-step explanation:

by simply plugging in 6 for x thus

x=6 becomes 6=6 which is true

Solving a linear equation we can see that Paxton was a member for 5 months.

We know that the local pool near Paxton's house charges a one-time registration fee of $18.25 and $17.50 per month, then the cost for x months is modeled by the linear function.

f(x)= 18.25 + x*17.50

We know that Paxton paid $105.75, then we need to solve the equation:

105.75 = 18.25 + x*17.50

Solving that for x we will get:

105.75 - 18.25 = x*17.50

87.50/17.50 = x

5 = x

Paxton was a memeber for 5 months.

Learn more about linear functions at:

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Answer:

$3.07

Step-by-step explanation:

First add up all of the costs:

3.49+3.49+2.79+2.79+2.79=15.35

Then divide this by the 5 friends:

15.35÷5=3.07

Answer:

243/16

Step-by-step explanation:

we have a1 = 2

r = 3/2

n = 6

The 6th term of the geometric sequence is 243/16

The given parameters are:

[tex]a = 2[/tex] --- the first term

[tex]r = 3/2[/tex] --- the common ratio

The nth term of a geometric sequence is:

[tex]T_n = ar^{n-1[/tex]

So, the 6th term would be:

[tex]T_6 = 2 \times (3/2)^{6-1[/tex]

Subtract 1 from 6

[tex]T_6 = 2 \times (3/2)^5[/tex]

Evaluate the exponent

[tex]T_6 = 2 \times (243/32)[/tex]

Simplify

[tex]T_6 = 243/16[/tex]

Hence, the 6th term of the geometric sequence is 243/16

Read more about geometric sequence at:

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Answer:

Step-by-step explanation:

a linear equation is of degree 1.

It is of degree 2 so it is not a linear equation.

The amount he gets for lunch is an illustration of mean and averages.

He gets for lunch is $240 daily

Represent the amount he gets for lunch each day be x.

So, the amount saved each day is x/2

From Monday to Friday, the total savings would be 5x/2

So, we have:

[tex]\mathbf{\frac{5x}{2} = \$600}[/tex]

Multiply both sides by 2

[tex]\mathbf{5x = \$1200}[/tex]

Divide both sides by 5

[tex]\mathbf{x = \$240}[/tex]

Hence, the amount he gets for lunch is $240 daily

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Answer:

60°

Step-by-step explanation:

the degrees of a triangle equal up to 180° so 60 + 60 = 120, 180 - 120 = 60

Answer:9/12

Step-by-step explanation:

You need to make the denominators the same. Multiply the 1/3 by 4 and now you are ready. You add 4/12 and 5/12 together. 9/12 houses on her block are pink/red. You can also simply it down to 3/4.

The required graph shows equation y = 10 + 4.50x which represents the total cost of sandwiches and delivery based on the number of sandwiches ordered.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Let x represent the number of sandwiches and y represent the total cost.

Here is a graph of this equation:

y = 10 + 4.50x

This graph shows that the total cost of sandwiches and delivery is a straight line that increases by $4.50 for each additional sandwich ordered. The $10 delivery fee is the y-intercept of the line, which is the point where the line crosses the y-axis (when x = 0).

The slope of the line is 4.50, which indicates the change in the total cost for each unit change in the number of sandwiches.

Learn more about the graphs here:

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Answer:

[tex]\frac{25}{1000}[/tex] = 0.025

[tex]\frac{20}{50}[/tex] = 0.4

[tex]\frac{3}{50}[/tex] = 0.06

[tex]\frac{2}{3}[/tex] = 0.(66) or 0.66666666666666666