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Alex73 [517]
3 years ago
9

Shen’s mother gave him $10 to go buy groceries. He picked up a gallon of milk for $3.49, three pounds of oranges that cost $1.14

per pound, and a box of cereal for $3.46. Shen used front-end estimation to determine whether he had enough money for the groceries. How much did he estimate the total cost would be?
Mathematics
1 answer:
prohojiy [21]3 years ago
7 0
The total cost would be $10.20. Its an estimation so it wont be exact!
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The large clock below hangs in Isaac's living room. If the radius of this clock is 3.5 feet, what is its circumference? Round yo
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Answer:

22.0

Step-by-step explanation:

knowing the radius is 3.5 -

and the formula for the circumfrence -

2 pi r

we can then use the radius -

2 * 3.14 * 3.5

which is 21.98 -

rounding to 22.0

hope this helps!!

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saima makes 14 muffins to give to her friends she wants to give 2 muffins to each friends at her party​
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3 years ago
Solve the simultaneous equations by substitution<br> 4x+3y=-2<br> 3y=4-x
stiv31 [10]

Answer: x=-2 y=2

Step-by-step explanation:

I decided that isolating the y value of the second equation is the best way to start solving.

I divide 3 from both sides to get y= (4-x)/3. With this, I can substitute into the first equation. 4x+3(4-x)/3)=-2.

The multiplying the 3 by the denominator three cancels each other out to make:

4x+4-x=-2.

We subtract 4 on both sides and then subtract x from 4x.

We end up with 3x=-6. Then, we divide both sides by 3.

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Now we substitute this into the second equation to solve.

3y=4-(-2)

This becomes 3y=4+2 which is 3y=6

We divide both sides by 3 to get y=2

We end up with x=-2 and y=2.

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Area and Circumference of Circles
Thepotemich [5.8K]

Pi(\pi) is the ratio of circumference to diameter for any circle.

Perimeter is the distance around a circle.

Circumference of circle C = \pi d.

Perimeter of circle = 2 \pi r

What is circle ?

A circle is a spherical shape without boundaries or edges.

A circle is a closed, curved object with two dimensions in geometry.

Consider two small arcs AB and CD of two circles of radii x and y units, both of which make an angle of measure θ at the centers P and Q respectively.

For smaller values of θ, the arc length AB is almost equal to the length of the line segment \bar{AB}. Similarly, arc CD ≅ \bar{CD}.

Using the SAS rule of triangle similarity, we can say that APB and CQD are similar triangles because their angles are the same and their ratios are AP: PB = CQ: QD = 1: 1. So, it stands to reason that AB: AP = CD: CQ.

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So it was proved.

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