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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"

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