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Mkey [24]
3 years ago
8

For 3/4 of a pound of peanuts, Jimmy paid $2.35. What is the unit rate (dollars per pound)? *

Mathematics
1 answer:
Tpy6a [65]3 years ago
8 0

Answer:

$3.13/lb

Step-by-step explanation:

Divide 3/4 pound into $2.35:

$2.35

--------- = $3.13/lb

3/4  lb

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A sector of a circle has a central angle measuring 15 degrees and the radius of the circle measures 9 inches. What is the arc le
Kamila [148]

Answer:

Arc length is \dfrac{3\pi }{4}\ \text{inches}

Step-by-step explanation:

We have,

Central angle is 15 degrees and the radius of the circle measures 9 inches.

It is required to find the arc length of the sector.

The relation between arc length and the central angle is given by :

\dfrac{\text{arc length}}{\text{circumference}}=\dfrac{\theta}{360}

Circumference, C=2\pi r=18\pi

\theta=15^{\circ}

\dfrac{x}{18\pi }=\dfrac{15}{360}\\\\\dfrac{x}{18\pi }=\dfrac{1}{24}\\\\x=\dfrac{18\pi }{24}\\\\x=\dfrac{3\pi }{4}\ \text{inches}

Hence, the correct option is (b).

5 0
3 years ago
Jared bought a package of 20 pens. If 3/4 of the pens had black ink, what is the number of black pens?
amid [387]

Answer:

We just figure out what 3/4 of 20 is and it is 15 so 15 pens!

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Please can anyone send a question in law of indices I really need it now​
DaniilM [7]

Answer:

I think this is a pretty good question of law of indices

Step-by-step explanation:

Given that

(9^p)(27^q)=3^n\\

a) express n in terms of p and q ,

b) hence if p = 1 and q = 2 find the value of n

Solution to part a)

(9^p)(27^q)=3^n\\\\

Simplify the equation and how do we do that? As we can see that 9 can also be written as 3^2 and 27 can be written as 3^3 we can rewrite the following equation like this,

(3^2)^p(3^3)^q=3^n\\

now we multiply p with 2 and

multiply q with 3 respectively,

(3^{2p})(3^{3q})=3^n\\

now since the bases are same and are multiplying the exponents will add themselves like this, in this equation the number 3 is the base

3^{2p+3q}=3^n\\

now since the bases on the left hand side and on the right hand side are equal the exponents will also be equal so now,

2p+3q=n\\

hence n is expressed in terms of p and q

Solution to part b)

if p = 1 and q = 2 we plug in these values in the above equation we found for n

n = 2p + 3q

n = 2(1) + 3(2)

n = 2 + 6

n = 7

6 0
3 years ago
Use inverse operation to solve it. Show all steps<br><br> 19= h/3 -8
inysia [295]
<h3><u>The value of h is equal to 81.</u></h3>

19 = (h/3) - 8

Multiply all terms by 3.

57 = h - 24

Add 24 to both sides.

81 = h

8 0
3 years ago
Find two consecutive whole numbers that <br> 137<br> lies between
kondor19780726 [428]
Consecutive means right behind each other basically.

1,2,3,4,5 are consecutive numbers because they are in order.

the numbers got 135, 136, 137, 138, 139, 140

137 lies between 136 and 138.

136 and 138 is your answer
7 0
3 years ago
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