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emmasim [6.3K]
2 years ago
14

Find an equivalent ratio in simplest terms: 25:75

Mathematics
1 answer:
Sati [7]2 years ago
5 0

Answer:

1:3

Step-by-step explanation:

Both numbers are divisible by 25:

  • 25 ÷ 25 = 1
  • 75 ÷ 25 = 3

∴ The simplified ratio is 1:3

Hope this helps!

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My question is attached below.
Stells [14]

Answer:

click the 2nd 1

Step-by-step explanation:

5 0
3 years ago
Triangle abc is similar to triangle FGH solve for p plebs.
12345 [234]

The value of <em>p </em>is 21

Step-by-step explanation:

ΔABC ~ ΔFGH

\frac{ab}{fg}  =  \frac{bc}{gh}  \\  \frac{35}{p}  =  \frac{10}{6}  \\ p =  \frac{35 \times 6}{10}  \\ p =  \frac{210}{10}  \\ p = 21 \\  \\ or \\  \\  \frac{ab}{fg}  =  \frac{ac}{fh}  \\  \frac{35}{p}  =  \frac{30}{18}  \\ p =  \frac{35 \times 18}{30}  \\ p =  \frac{630}{30}  \\ p = 21

So, the value of <em>p</em> is 21

<em>Hope </em><em>it </em><em>helpful </em><em>and </em><em>useful </em><em>:</em><em>)</em>

5 0
3 years ago
Help me iv been trying from this morning
GalinKa [24]

Answer:

i did the first

Step-by-step explanation:

1st way

Standard form: a(X-h)²+k = ( -2/3X² -16/3X -32/3) +32/3 -17/3 = -2/3(X +4)² +5

y = -2/3*X^2-16/3*X-17/3

X = -4 ±√( 15/2) = -6.7386, or -1.2614

Axis of symmetry: X= -4; Vertex (maximum)=(h,k)=( -4, 5); y-intercept is (0,-5.66666666667)

two real roots: X=-1.2613872124776866 and -6.738612787477313

5 0
3 years ago
Read 2 more answers
Can someone please help me with this problem??
Ostrovityanka [42]

Answer:

The slope is -\frac{1}{3} and the y intercept is 2.

Step-by-step explanation:

So, we can see that the line moves down one unit every time it progresses to the right three times. Slope is defined by change in y/change in x. For this problem, the change in y is -1 and the change in x is +3, so the slope is -\frac{1}{3}.

Now for the y intercept. The y intercept is the point where the line first passes through the y axis. In this case, it passes through 2. Your y intercept can be written in two ways; as a number (2) or as an ordered pair (0,2), although people usually write the number.

I hope this was helpful. Good luck!

7 0
3 years ago
An aircraft factory manufactures airplane engines. The unit cost C (the cost in dollars to make each airplane engine) depends on
butalik [34]

Answer:

90 engines must be made to minimize the unit cost.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

f(x) = ax^{2} + bx + c

It's vertex is the point (x_{v}, y_{v})

In which

x_{v} = -\frac{b}{2a}

y_{v} = -\frac{\Delta}{4a}

Where

\Delta = b^2-4ac

If a>0, the minimum value of the function will happen for x = x_v

C(x)=x²-180x+20,482

This means that a = 1, b = -180, c = 20482

How many engines must be made to minimize the unit cost?

x value of the vertex. So

x_{v} = -\frac{b}{2a} = -\frac{-180}{2(1)} = 90

90 engines must be made to minimize the unit cost.

3 0
3 years ago
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