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luda_lava [24]
3 years ago
15

Use this area model to find One-fourth divided by 3.

Mathematics
1 answer:
eimsori [14]3 years ago
6 0

Answer:

It is

Step-by-step explanation:

1/12

That's correct

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A pecan pie is being served for dessert. One piece of pie has an arc length of 7.85 in. It has been cut into 8 equal pieces. Wha
pishuonlain [190]

Answer: 10 inches.

Step-by-step explanation:

Since the pecan pie is a circle, you can use this formula:

arc\ length=r\theta

Where "r" is the radius and \theta is the central angle of the arc in radians.

If the pecan pie has been cut into 8 equal pieces then the central angle is:

\theta=\frac{2\pi}{8}\\\\\theta={\frac{\pi}{4}

Now you know the arc length and the central angle, then, you can solve for "r" from  arc\ length=r\theta:

 \frac{arc\ length}{\theta} =r

Substituting values, you get that the radius of the pecan pie rounded to the nearest whole number is:

r=\frac{7.85in}{\frac{\pi}{4}}\\\\r=10in

8 0
3 years ago
Which expression is equivalent to (3x2-6) – (5x2 - 7x+5)-(9x + 3)?
andrezito [222]

Answer:

It equals -2

Step-by-step explanation:

4 0
3 years ago
If the sum of two numbers is 15 and their product is 50 what are they
Westkost [7]
Xy = 50
x + y = 15

x = 15 - y

xy = 50

(5 - y)y = 50

5y - y^2 = 50

y^2 - 5y + 50 = 0

(y - 5)(y - 10) = 0

y - 5 = 0 or y - 10 = 0

y = 5 or y = 10

x + y = 15

For y = 5: 

x + 5 = 15

x = 10

For y = 10

x + 10 = 15

x = 5

Answer: the numbers are 5 and 10.

5 0
3 years ago
Graph the inequality y>-4x+6 to represent its solution set.
Deffense [45]

Answer:

Step-by-step explanation:

7 0
3 years ago
Estimate the solution to the system of equations. asap, please!! I will mark for brain list
Darya [45]

Answer:

(1 \frac{1}{3}, 2 \frac{1}{3} )

Step-by-step explanation:

Given the 2 equations

7x - y = 7 → (1)

x + 2y = 6 → (2)

Multiplying (1) by 2 and adding to (2) will eliminate the y- term

14x - 2y = 14 → (3)

Add (2) and (3) term by term to eliminate y

15x = 20 ( divide both sides by 15 )

x = \frac{20}{15} = \frac{4}{3} = 1 \frac{1}{3}

Substitute this value of x into either of the 2 equations and solve for y

Substituting in (2)

\frac{4}{3} + 2y = 6

2y = 6 - \frac{4}{3} = \frac{14}{3} ( divide both sides by 2 )

y = \frac{7}{3} = 2 \frac{1}{3}

7 0
3 years ago
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