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DiKsa [7]
3 years ago
6

Find the slope of the line y = 5/9x + 7/2

Mathematics
1 answer:
kiruha [24]3 years ago
8 0

Answer:

5/9 is your answer

Step-by-step explanation:

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The ratio of boys to girls in Mr. Johnsons after school club is the same as the ratio is the same to the ratio of boys to girls
maks197457 [2]

Answer:

18 GIRLS

Step-by-step explanation:

1. Lets write a fraction (4 boys/12 girls)

\frac{4  \\boys}{12 \\ \\girls}

2. Now lets plug the value in

\frac{6 \\boys}{x girls}

3. In the original equation, the amount of girls is 3 times the amount of boys

4. multiply 6 and 3 = 18

5. 18 girls

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For this case we have the following function transformation:
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 Suppose that h> 0:
 To graph y = f (x + h), move the graph of h units to the left.
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3 years ago
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Using the equation x = x_0 + vt, where x_0 = 7.8, v = 4.1, and x =-9.8, what is the value of t?
lianna [129]
<h2>Solving an Equation</h2>

When we're given an equation with one unknown, our goal is to isolate that variable to one side of the equal sign.

We can do this by performing inverse operations on both sides of the equal sign and canceling values out.

For instance, the inverse operation of addition is subtraction, and the inverse operation of division is multiplication.

<h2>Solving the Question</h2>

We're given:

  • x = x_0 + vt
  • x_0 = 7.8\\v = 4.1\\ x =-9.8

We have to solve for the value of <em>t</em>. Before we plug in the given values, we can begin by isolating <em>t</em> in the given equation:

x = x_0 + vt

First, subtract x_0 from both sides:

x-x_0 = x_0 + vt-x_0\\x-x_0 =vt

Now, divide both sides by <em>v</em>:

\dfrac{x-x_0}{v} =\dfrac{vt}{v}\\\\\dfrac{x-x_0}{v} =t\\\\t=\dfrac{x-x_0}{v}

Now, we have successfully isolated <em>t</em>.

Plug in all the given values:

t=\dfrac{x-x_0}{v}

t=\dfrac{-17.6}{4.1}\\\\t=\dfrac{-176}{41}

<h2>Answer</h2>

t=\dfrac{-176}{41}

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2 years ago
1. What is the number of possible outcomes of picking one letter at a time from the word ANGELES CITY?
Murljashka [212]

Answer:

4

Step-by-step explanation:

5

3 0
2 years ago
At a gymnastics meet, twenty gymnasts compete for first, second, and third place. How many ways can first, second, and third pla
ExtremeBDS [4]
Part A:

Given that a<span>t a gymnastics meet, twenty gymnasts compete for first, second, and third place. The number of ways </span><span>first, second, and third place can be assigned</span><span> is given by

^{20}P_3= \frac{20!}{(20-3)!}  \\  \\ = \frac{20!}{17!} =20\times19\times18 \\  \\ =6,840\ ways



Part B:

</span>Given that at a gymnastics meet, twenty gymnasts compete for first, second, and third place. If the t<span>hird place has been announced the number of ways that the remaining two places can be assigned</span> is given by :

<span>^{19}P_2= \frac{19!}{(19-2)!}  \\  \\ = \frac{19!}{17!} =19\times18 \\  \\ =342\ ways
</span>


Part C:

Given that at a gymnastics meet, twenty gymnasts compete for first, second, and third place. If the third and second places have been announced the number of ways that the <span>first place</span> can be assigned is given by :

^{18}P_1= \frac{18!}{(18-1)!}  \\  \\ = \frac{18!}{17!} =18\ ways
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4 years ago
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