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n200080 [17]
3 years ago
12

A portrait without its frame has a height 2.5 times its width w, in inches. Its frame is 2 inches wide all along the perimeter.

What is an expression for the area of the framed portrait in terms of w? (Simplify your expression and write in standard form)
Mathematics
1 answer:
mart [117]3 years ago
5 0

Answer:

50

Step-by-step explanation:

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Find the x- and y-intercepts of the function f(x) = log(2x + 1) − 1.
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Answer:

(9/2,0) and (0,-1)

Step-by-step explanation:

y(0) = log(1)-1 = -1

y=0 when log(2x+1) = 1

2x+1 = 10

x = 9/2

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In a math class of 40 students, there are 21 female students. Which of the following does NOT represent a ratio of the number of
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Write the equation of a circle whose center is at (3,-2) and has a radius of 11.<br>Show your work!
Viefleur [7K]

Answer:

(x - 3)^{2} + (y + 2)^{2} = 121

Step-by-step explanation:

The equation of a circle has the following format:

(x - x_{0})^{2} + (y - y_{0})^{2} = r^{2}

In which r is the radius and the centre is the point (x_{0}, y_{0})

In this question:

Center at (3,-2), so x_{0} = 3, y_{0} = -2

Radius 11, so r = 11

Then

(x - 3)^{2} + (y - (-2))^{2} = 11^{2}

(x - 3)^{2} + (y + 2)^{2} = 121

3 0
3 years ago
40% of 125 is what number?
Hatshy [7]
The answer is 32


Solution for 40 is what percent of 125:

40:125*100 =

( 40*100):125 =

4000:125 = 32

Now we have: 40 is what percent of 125 = 32

Question: 40 is what percent of 125?

Percentage solution with steps:

Step 1: We make the assumption that 125 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x​.

Step 3: From step 1, it follows that $100\%=125$100%=125​.

Step 4: In the same vein, $x\%=40$x%=40​.

Step 5: This gives us a pair of simple equations:

$100\%=125(1)$100%=125(1)​.

$x\%=40(2)$x%=40(2)​.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{125}{40}$
100%
x%​=
125
40​​

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{40}{125}$
x%
100%​=
40
125​​

$\Rightarrow x=32\%$⇒x=32%​

Therefore, $40$40​ is $32\%$32%​ of $125$125​.
7 0
3 years ago
Read 2 more answers
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