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Fantom [35]
4 years ago
15

76.11 Multiply fractions and mixed numbers: word problems 5N)

Mathematics
1 answer:
maria [59]4 years ago
8 0

Answer:

Kendra ate 1/4 pounds of blueberries.

Step-by-step explanation:

The amount of blueberries Sean had  =  1/3 pound

The amount of blueberries Kendra ate  = 3/4 of Total available

= 3/4 of (1/3 pounds)

Now, we need to find out the 3/4 amount of 1/3 pound.

3/4 of 1/3 pound  = \frac{3}{4}  \times \frac{1}{3}   = \frac{1}{4 }

⇒ 3/4 of the amount 1/3 pound  = 1/4 pound

Hence Kendra ate 1/4 pounds of blueberries.

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20)
ivolga24 [154]

Answer:

0 & 1

Step-by-step explanation:

3(1 + x) < x + 6

Distribute

3x+3 < x+6

Subtract x from each side

3x+3-x < x+6-x

2x+3 <6

Subtract 3 from each side

2x+3-3 <6-3

2x <3

Divide each side by 2

2x/2 <3/2

x <3/2

3 0
3 years ago
X² + 2x − 8 = 0<br><br> (x + _ ) (x - _ )<br><br> x = <br><br> x =
jeka94
Factors of -8 that add up to 2: 4 & -2

(x + 4)(x - 2)

Set x to 0 for both and solve

x = -4

x = 2
8 0
4 years ago
How many different simple random samples of size 5 cab be obtained from a population whose size is 46
otez555 [7]

Answer:

1370754

Step-by-step explanation:

From what I can see, you are probably studying combinations and permutations at the moment. Since this is a question about how many groups of five can be produced from a sample size of 46, the groups are random and not in order, which may rule for us to use the combination formula.

Once you compute this, this answer is basically saying that 1370754 groups of 5 can be created from a sample size of 46

8 0
4 years ago
The volume of ice-cream in the cone is half the volume of the cone. The cone has a 3 cm radius and
zhannawk [14.2K]

Answer:

h = 5 cm

Step-by-step explanation:

Given that,

The volume of ice-cream in the cone is half the volume of the cone.

Volume of cone is given by :

V_c=\dfrac{1}{3}\pi r^2h

r is radius of cone, r = 3 cm

h is height of cone, h = 6 cm

So,

V_c=\dfrac{1}{3}\pi (3)^2\times 6\\\\V_c=18\pi\ cm^3

Let V_i is the volume of icecream in the cone. So,

V_i=\dfrac{18\pi}{2}=9\pi\ cm^3

Let H be the depth of the icecream.

Two triangles formed by the cone and the icecream will be similiar. SO,

\dfrac{H}{6}=\dfrac{r}{3}\\\\r=\dfrac{H}{2}

So, volume of icecream in the cone is :

V_c=\dfrac{1}{3}\pi (\dfrac{h}{2})^2(\dfrac{h}{3})\\\\9\pi=\dfrac{h^3}{12}\pi\\\\h^3=108\\\\h=4.76\ cm

or

h = 5 cm

So, the depth of the ice-cream is 5 cm.

8 0
4 years ago
Ralph read 18 books during his simmer vacation. he read the same number of books each month for 3 months.How many books did he r
natta225 [31]
6 for each month if you divide or 54 if you multiply or add all three months together
5 0
4 years ago
Read 2 more answers
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