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Nata [24]
3 years ago
14

What fraction of the problems on the math test will be word problems Math test] "20 Multiple choice problems" "10 fill in the bl

anks" "5 word problems"
Mathematics
1 answer:
Aliun [14]3 years ago
8 0
# word problems/ total # problems
5/35
1/7
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Chris has 96 local and foreign stamps altogether in his collection. The ratio of the number of local stamps to foreign stamps is
Anna [14]

Answer:

Chris have 24 local stamps

Step-by-step explanation:

We are given that  The ratio of the number of local stamps to foreign stamps is 1 : 3.

Let the ratio be x

Number of local stamps = x

Number of foreign stamps = 3x

Total Number of stamps =x+3x=4x

We are given that Chris has 96 local and foreign stamps altogether in his collection

So, 4x=96

x=\frac{96}{4}

x=24

Hence Chris have 24 local stamps

3 0
3 years ago
Someone help please
FinnZ [79.3K]
I'm guessing....
p(pen) = 3 / 10
p(crayon) = 1/ 2
8 0
3 years ago
Consider the circle of radius 5 centered at (0, 0). Find an equation of the line tangent to the circle at the point (3, 4) in sl
Wittaler [7]

Answer:

\displaystyle y= -\frac{3}{4} x + \frac{25}{4}.

Step-by-step explanation:

The equation of a circle of radius 5 centered at (0,0) is:

x^{2} + y^{2} = 5^{2}.

x^{2} + y^{2} = 25.

Differentiate implicitly with respect to x to find the slope of tangents to this circle.

\displaystyle \frac{d}{dx}[x^{2} + y^{2}] = \frac{d}{dx}[25]

\displaystyle \frac{d}{dx}(x^{2}) + \frac{d}{dx}(y^{2}) = 0.

Apply the power rule and the chain rule. Treat y as a function of x, f(x).

\displaystyle \frac{d}{dx}(x^{2}) + \frac{d}{dx}(f(x))^{2} = 0.

\displaystyle \frac{d}{dx}(2x) + \frac{d}{dx}(2f(x)\cdot f^{\prime}(x)) = 0.

That is:

\displaystyle \frac{d}{dx}(2x) + \frac{d}{dx}\left(2y \cdot \frac{dy}{dx}\right) = 0.

Solve this equation for \displaystyle \frac{dy}{dx}:

\displaystyle \frac{dy}{dx} = -\frac{x}{y}.

The slope of the tangent to this circle at point (3, 4) will thus equal

\displaystyle \frac{dy}{dx} = -\frac{3}{4}.

Apply the slope-point of a line in a cartesian plane:

y - y_0 = m(x - x_0), where

  • m is the gradient of this line, and
  • (x_0, y_0) are the coordinates of a point on that line.

For the tangent line in this question:

  • \displaystyle m = -\frac{3}{4},
  • (x_0, y_0) = (3, 4).

The equation of this tangent line will thus be:

\displaystyle y - 4 = -\frac{3}{4} (x - 3).

That simplifies to

\displaystyle y= -\frac{3}{4} x + \frac{25}{4}.

3 0
3 years ago
What is the mean absolute deviation of the data set?
lana [24]
15 + 16 + 15 + 8 + 6 = 60 divided by 5 = 12 
Answer is D
6 0
3 years ago
Can u help me ASAP!!!
Rom4ik [11]
Can be reduced to 1/3
8 0
3 years ago
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