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1 year ago

What is the equation of the following line you should scroll down to see all Answer options

Mathematics

1 answer:

lilavasa [31]1 year ago

6 0

Given

Given

$\begin{gathered} points \\ (0,0)\text{ and }(15,3) \end{gathered}$ SolutionStep 1Find slope $Slope\text{ \lparen M\rparen=}\frac{y_2-y_1}{x_2-x_1}$ $\begin{gathered} x_1=0 \\ y_1=0 \\ x_2=15 \\ y_2=3 \end{gathered}$

Substitute the given points into the slope formula

$Slope(m)=\frac{3-0}{15-0}=\frac{3}{15}=\frac{1}{5}$ step 2Equation of a line $\begin{gathered} y=mx+b \\ m=\frac{1}{5} \\ x=0 \\ y=0 \\ \end{gathered}$ $\begin{gathered} 0=0(\frac{1}{3})+b \\ b=0 \end{gathered}$ Step 3 $y=\frac{1}{5}x$ The final answerOption B

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Use the given information to find the unknown value:y varies inversely with a. When x = 4, then y= 4. Find y when I = 2.Iyy =hel

Mashutka [201]

Inverse variation:

$y=\frac{k}{x}$

k is a constant

Use the given information (when x=4 y=4) to find the value of the constant:

$\begin{gathered} 4=\frac{k}{4} \\ \\ \text{Multiply both sides of the equation by 4:} \\ 4\times4=4\times\frac{k}{4} \\ \\ 16=k \\ \\ \\ k=16 \end{gathered}$

Then, the given relationship has the next equation:

$y=\frac{16}{x}$

Use the equation above to find y when x=2:

$\begin{gathered} y=\frac{16}{2} \\ \\ y=8 \end{gathered}$ Then, when x=2, y=8

3 0

11 months ago

In a bag, there are 5 cards numbered 1 to 5. Each time a card is randomly selected, it I'd replaced in the bag. What is the prob

sweet [91]

Out of 5 cards in the bag ...

-- There are 2 even numbers . . . 2 and 4 .

-- There are 3 odd numbers . . . 1, 3, and 5 .

So EITHER time, the probability of pulling an even number is 2/5 ,
and the probability of pulling an odd number is 3/5 .

The probability of pulling an even number the first time
AND an odd number the second time is

(2/5) x (3/5) = 6/25 = <em>24%</em> .

3 0

3 years ago

Read 2 more answers

Solve the equation 4=t/2.5

larisa [96]

the answer would be 10 because you have to times by 2.5 on both sides to get t on its own.

4 × 2.5 is 10

6 0

3 years ago

Read 2 more answers

joe has a piggy bank with $8.90 split upon nickels, dimes, and quarters. The piggy bank contains 76 coins in all. The number of

kozerog [31]

Answer:

There are 38 dimes, 22 nickels and 16 quarters.

Step-by-step explanation:

Let n, d and q represent the # of nickels, dimes and quarters respectively.

Then n + d + q = 76

The value of a nickel is $0.05; that of a dime is $0.10, and that of a quarter is $0.25.

Thus, the value of n nickels is $0.05n (and so on).

The total value of the coins is $0.05n + $0.10d + $0.25q = $8.90.

d = n + q allows us to eliminate d.

First, n + d + q = 76 becomes n + (n + q) + q = 76, and second:

$0.05n + $0.10(n + q) + $0.25q = $8.90. Here we have succeeded in eliminating d from two different equations, and now we have these two different equations in two unknowns (n and q), which is solvable.

Simplifying both equations, we get:

2n + 2q = 76 and

5n + 10n + 10q + 25q = 890, or 15n + 35q = 890

Let's use the substitution method of solving linear equations:

Rewrite 2n + 2q = 76 as n + q = 38, or n = 38 - q. Substituting this result into the second equation, we get:

15(38 - q) + 35 q = 890, or

570 - 15q + 35q = 890, or

570 + 20 q = 890. Then 20q = 890 - 570 = 320, and q = 320/20 = 16.

There are 16 quarters. Thus, the number of nickels is n = 38 - 16 = 22.

Finally, since n + d + q = 76, 22 + d + 16 = 76, or:

22 + d = 60, or d = 60 - 22 = 38.

There are 38 dimes, 22 nickels and 16 quarters.