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LiRa [457]
3 years ago
10

What is an equation in point-slope form of the line that passes through the point (8, 5) and has slope −7?

Mathematics
1 answer:
Masteriza [31]3 years ago
7 0

Answer:

y - 5 = -7(x - 8)

Step-by-step explanation:

We can immediately adapt y - k = m(x - h) as follows:  replace m with -7, h with 8 and k with 5, obtaining:

y - 5 = -7(x - 8)

This is the desired equation in point-slope form.

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There are 48 students in a school play. The ratio of boys to girls is 5:7. How many boys are in the school play? Explain how you
mr Goodwill [35]
Boys:  x
gilrs:   y

From the text of the task:

\left \{ {{\frac{x}{y}=\frac{5}{7}} \atop {x+y=48 \rightarrow x=48-y}} \right.

Replacing x:

\frac{48-y}{y}=\frac{5}{7}\\
\\
7(48-y)=5y\\
\\
336-7y=5y\\
\\
12y=336\\
\\
y=\frac{336}{12}=28

So there are 28 girs and 20 boys
7 0
4 years ago
Read 2 more answers
Toyland is having a sale. All items are 20% off. How much will you save on an item that usually sells for $95?
Olegator [25]

Answer:

19

Step-by-step explanation:

To find 20% of 95 multiply 95 by 0.20, p5 x 0.20=19

3 0
3 years ago
stella has twice as many fish in her tank as catherine .catherine has twice as many fish in her tank as rita .they have 70 fish
tiny-mole [99]
Well, we do not know how many fish Rita has, so lets represent that with y. Anyway, it says that catherine has twice as many fish as Rita. So that will be 2y. And Stella has twice as many as catherine, so that will be 2 x 2y. And that will be 4y. So Ruth has y, catherine has 2y and stella has 4y. And the total is 70. So that means that the number of fishes added together will be 70. That can be represented as;
y + 2y + 4y = 70
y is the same as 1y. And when you add y + 2y + 4y, you will get 7y. So
7y=70
Divide the both sides by 7. That will be;
y= 7 . So Rita has 7 fishes. Hope i helped.  
8 0
3 years ago
2.) Which expression has a value of -4?<br> A. (-4) B. |-4| C. |4|<br> D. -|4|
Liono4ka [1.6K]

Answer:

A and D both have a value of -4

Step-by-step explanation:

A. (-4)  = -4

B. |-4|  = positive value of what is inside = 4

C. |4| = positive value of what is inside = 4

D. -|4| = -positive value of what is inside = -4

5 0
3 years ago
Read 2 more answers
The perimeter of a square picture frame is 5.4 inches . What is the length of one side? Write and equation and slove.
Anarel [89]

Answer:

s = 1.35 (See explanation!)

Step-by-step explanation:

To write an equation, you need to know that all four sides of a square are equal. Since each side is equal, it can be represented by the same variable or value. I'll use s for the variable:

Equation:

4s = 5.4

Note: the 4s is the total perimeter (4 * side)

Now, solve:

4s = 5.4

Divide by four to isolate the s:

4s/4 = 5.4/4

Finally:

s = 1.35

7 0
3 years ago
Read 2 more answers
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