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astraxan [27]
3 years ago
10

Multiply 3/4 times 16/9

Mathematics
2 answers:
Katena32 [7]3 years ago
6 0
3/4 times 16/9 equals 48/36. that reduces down to 4/3, which is 1 and 1/3.
alexandr1967 [171]3 years ago
4 0
The new fraction would be 48/46 or 1 2/46 or 1 1/23
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The area of a rectangle is 42 ft squared, and the length of the rectangle is 5 ft more than twice the width. Find the dimensions
stira [4]

Answer:

<h3>Length = 12 ft</h3>

Width = \frac{7}{2} ft

Step-by-step explanation:

Given,

Area of rectangle = 42 \:  {ft}^{2}

Width = X

Length = 2x + 5

Now,

x(2x + 5) = 42

2 {x}^{2}  + 5x   = 42

2 {x}^{2}  + 5x - 42 = 0

2 {x}^{2}  + 12x - 7x - 42 = 0

2x(x + 6) - 7(x + 6) = 0

(2x  - 7)(x + 6) = 0

Either

2x - 7 = 0

2x = 0 + 7

2x = 7

x =  \frac{7}{2}

Or,

x + 6 = 0

x = 0 - 6

x =  - 6

Negative value can't be taken.

So, width = \frac{7}{2} ft

Again,

Finding the value of length,

Length = 2x + 5

2 \times  \frac{7}{2}  + 5

7 + 5

12

Length = 12 ft

7 0
2 years ago
Read 2 more answers
Jamal has two bags of marbles. The first bag contains 5 blue marbles, and 3 green marbles. The second bag contains 4 yellow marb
NeX [460]

Answer:

probability of bag one 62.5% for blue marbles green- 37.5%

probability of bag 2 66.67% for yellow and for blue 33.33%

he will probably get a blue and yellow marble

:)

7 0
2 years ago
The height of one square pyramid is 12 m. A similar pyramid has a height of 6 m. The volume of the larger pyramid is 400 m3. Det
valentinak56 [21]
A) <span>Scale factor of the smaller pyramid to the larger pyramid in simplest form:
</span>6 m / 12 m = 1/2 

b) <span>Ratio of the areas of the bases of the smaller pyramid to the larger pyramid:
</span><span>(1/2)^2 = 1/4 </span>

c) <span>Ratio of the volume of the smaller pyramid to the larger:
</span><span>(1/2)^3 = 1/8 </span>

d) <span>Volume of the smaller pyramid:
</span>(1/8) * 400 m^3 = 50 m^3
4 0
3 years ago
The value of y varies directly as x and y is 9 when x is -3 what constant of variation k?
Lady bird [3.3K]
Y/x=k

when y=9, then x= -3
        9/-3=-3
⇒ k= -3
7 0
2 years ago
Bill and Eugene left the airport at the same time. They traveled in opposite directions. Eugene traveled 21.1 km/h faster than B
gizmo_the_mogwai [7]

Answer:

56.3 kilometers per hour

Step-by-step explanation:

We know D = RT

where

D is distance

R is rate (speed)

T is time

Let's Bill's rate be "x". Thus using equation we can write:

D = xt

We know Eugene travelled 21.1 faster than Bill, so Eugene's rate is 21.1 + x. So we can write:

D = (21.1 + x)t

D = 21.1t + xt

Now, putting t = 1 in both since after 1 hour given, we have:

D = x(1)

D = x

and

D = 21.1(1) + x(1)

D = 21.1 + x

We know the sum of both the distance is 133.7, so we can write:

x + 21.1 + x = 133.7

Solving for x:

2x = 133.7 - 21.1

2x = 112.6

x = 112.6 / 2

x = 56.3 km/hr

This is Bill's rate: 56.3 kilometers per hour

8 0
2 years ago
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