Which diagram BEST represents the line of best fit for the scatterplot?

What is the value of x?

Ksenya-84 [330]

Step-by-step explanation:

$\frac{360 - 2(x + 30)}{2} = x \\ 360 - 2x - 60 = 2x \\ 300 - 4x = 0 \\ 4x = 300 \\ x = 300 \div 4 = 75$

4 0

2 years ago

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Solve for h. 6+h+8=24

lozanna [386]

Answer:

the answer to your question is h = 10

8 0

3 years ago

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Gabrielle's age is two times Mikhail's age. The sum of their ages is 81. What is Mikhail's age?

Darya [45]

Answer:

27

Step-by-step explanation:

Let g be Gabrielle's age and m be Mikhail's age.

We can turn the statements the problem gives us into mathematical expressions to help us solve.

Gabrielle's age is two times Mikhail's age:

g = 2m

The sum of their ages is 81:

g + m = 81

This gives us a system of equations that will allow us to solve for Gabrielle's age.

g + m = 81

(2m) + m = 81

3m = 81

m = $\frac{81}{3}$

m = 27

If we need to solve for Gabrielle's age, we can do the following.

g = 2m

2(27) = g

54 = g

g = 54

Mikhail's age is 27.

Gabrielle's age is 54.

8 0

2 years ago

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a chef uses 4 3/4 cups of broth for 10 servings of soup.how much broth is is one serving . let x represent amount. 4 3/4/10 =x/1

enyata [817]

Let's firstly convert the mixed fraction to "improper" and then proceed,

$\bf \begin{array}{ccll}
\stackrel{broth}{cups}&servings\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
4\frac{3}{4}&10\\\\
x&1
\end{array}\implies \cfrac{\quad \stackrel{mixed}{4\frac{3}{4}}\quad }{x}=\cfrac{10}{1}\implies \cfrac{\quad \frac{4\cdot 4+3}{4}\quad }{x}=\cfrac{10}{1}$

$\bf \cfrac{\quad \stackrel{improper}{\frac{19}{4}}\quad }{x}=\cfrac{10}{1}\implies \cfrac{\quad \frac{19}{4}\quad }{\frac{x}{1}}=\cfrac{10}{1}\implies \cfrac{19}{4}\cdot \cfrac{1}{x}=\cfrac{10}{1}\implies \cfrac{19}{4x}=\cfrac{10}{1}
\\\\\\
19=40x\implies \cfrac{19}{40}=x$

6 0

3 years ago

Y=-4-x; domain = {-6, 2, 7} Find range plz

UNO [17]

Step-by-step explanation:

domain is the valid interval for the x (input) values for the function.

the range is the valid interval for the y (result) values of the function.

so, we have a function definition and a valid domain interval for x. we therefore try the x values and see what result values they create. and that defines the range.

x = -6

y = 4 - -6 = 4 + 6 = +10

c

x = 2

y = 4 - 2 = +2

x = 7

y = 4 - 7 = -3

we have therefore a range of {-3, 2, 10}

3 0

3 years ago