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Galina-37 [17]
3 years ago
11

The mixed number 3 1/2 is equivalent to a fraction with a denominator of 2. 3One-half = StartFraction question mark over 2 EndFr

action
Mathematics
1 answer:
lina2011 [118]3 years ago
6 0

Answer:

3 1/2 = 7/2

Step-by-step explanation:

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Where do the lines y = 3x + 5 and y = -2x + 10 intersect?
Anna71 [15]

9514 1404 393

Answer:

  (x, y) = (1, 8)

Step-by-step explanation:

A graphing calculator quickly tells you the point of intersection.

__

You can equate the y-values and solve for x.

  3x +5 = -2x +10

  5x = 5 . . . . . . . . . add 2x-5

  x = 1 . . . . . . . divide by 5

  3·1 +5 = y = 8 . . . . substitute for x in the first equation

The point of intersection is (x, y) = (1, 8).

6 0
3 years ago
74 POINTS!!! Please help me!!
den301095 [7]

\dfrac{\frac{5\pi}{12}}{2\pi}=\dfrac{5}{24}

\text{therefore the arc is equal} \dfrac{5}{24}\ \text{of circumference of a circle}.

\text{The formula of a circumference of a circle:}\ C=2\pi r

\text{substitute}\\\\\dfrac{5}{24}\cdot2\pi r=4\\\\\dfrac{5}{12}\cdot3.14r=4\\\\\dfrac{15.7}{12}r=4\ \ \ \ |cdot\dfrac{12}{15.7}\\\\r\approx3.1\ in

Answer:\ 3.1\ in

8 0
3 years ago
Read 2 more answers
Answer both please !!!
Arturiano [62]
Fraction in simplist form: 4/25
Percent: 16%
7 0
3 years ago
Help on all 3 questions
pickupchik [31]

Answer:

a. What is the slope of the line?

y = -3x-3

b. What is the x-intercept of the line? (Where does the line cross the x-axis?)

(-1,0)

c. What is the y-intercept of the line? (Where does the line cross the y-axis?)

(0, -3)

Step-by-step explanation:

Calculate slope:

m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{-3-0}{0-(-1)} \\m = \frac{-3}{1}\\m = -3

Calculate y-intercept:

<em>(Pick any point that lies on the line)</em>

<em />(-1,0)

b = y - (mx)\\b = 0 - (-3 * -1)\\b = 0 - (3)\\b = -3

Create function:

y = -3x-3

Get x-intercept:

<em>Set y = 0:</em>

<em />0 = -3x-3\\3 = -3x\\-1 =x

(-1,0)

Get y-intercept:

<em>Set x = 0:</em>

y = -3x-3\\y = -3 * 0 -3\\y = 0 - 3\\y = -3

(0, -3)

5 0
2 years ago
Sieranise is trying to find the unit price on a 12-pack of granola bars on sale for $2.99. Her sister says that at that price, e
Alexxx [7]

Answer:

It is correct, the cost per granola bar is $0.25

Step-by-step explanation:

You would divide 12 and $2.99

2.99/12

Equals to 0.29166666(repeating)

You would then round the number since 0.2491666 is a correct money amount, making it 0.25.

$2.99/12 = $0.25 (rounded)

The cost per granola bar would be just under $0.25.

Hope this helps!

-Jerc

8 0
3 years ago
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