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kaheart [24]
3 years ago
6

One-third of the dairy cattle on a farm are in the barn. Three-fifths of the beef cattle are in the barn. There are 30 dairy cat

tle and 15 beef cattle in thr barn. How many more dairy cattle are on the farm than beef cattle?
Mathematics
1 answer:
Korolek [52]3 years ago
8 0

Let

d = the total number of dairy cattle

b = the total number of beef cattle

2/3 of the dairy cattle on a farm are in the barn, and we know that 24 dairy cattle are in the barn thus:

(2/3)d = 24

d = 36 dairy cattle

1/4 of the beef cattle are in the barn and there are 16 beef cattle in the barn thus:

(1/4)b = 16

 

b = 64 beef cattle

64 - 36 = 28

There are 28 more beef cattle on the farm than dairy cattle.

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Can you please help me
Ket [755]

Answer:

The scale factor for the dilation of rectangle ABCD to rectangle MNOP is  \frac{3}{4} ⇒ B

Step-by-step explanation:

In similar rectangles, their corresponding dimensions are proportional, which means \frac{L_{1} }{L_{2}} = \frac{W_{1} }{W_{2}} , where L is the length and W is the width

∵ Rectangle ABCD is similar to rectangle MNOP

∴ Their dimensions are proportional

∵ The dimensions of rectangle ABCD are 6 m, 14 m

∴ L_{1} = 14 and W_{1} = 6

∵ The dimensions of rectangle MNOP are 4.5 m, 10.5 m

∴ L_{2} = 10.5 and W_{2} = 4.5

∵ The rectangle MNOP is the image of rectangle ABCD after dilation

→ To find the scale factor of dilation find the ratio between the

    corresponding dimensions in the two rectangles (image/pre-image)

∵ \frac{L_{2} }{L_{1}} = \frac{10.5}{14} = \frac{3}{4}

∵ \frac{W_{2} }{W_{1}} = \frac{4.5}{6} = \frac{3}{4}

∴ The scale factor for the dilation is  \frac{3}{4}

The scale factor for the dilation of rectangle ABCD to rectangle MNOP is  \frac{3}{4}

6 0
3 years ago
Five more than the product of four and a number is equal to the product of three and that same number increased by six.
svetlana [45]

Answer:

The number is 1.

Step-by-step explanation:

If you simplify the equation, it goes to 4x+5=3x+6. Subtract 5 from both sides and you get 4x= 3x+1. The only number that satisfies that equation is 1.

8 0
3 years ago
Read 2 more answers
the length of my living rooom is 24 feet. the width of my living room is 1/2 the length. what is the area of my living room.
stich3 [128]

The width of my living room is 1/2 the length :

24 \times  \frac{1}{2}  = 12 \: ft

The area of my living room :

24 \times 12 = 288 \:  {ft}^{2}

Answer: 288

Ok done. Thank to me :>

7 0
3 years ago
If the measure of a triangle are in the ratio 2:5:5. What is the measure of the angle
Sphinxa [80]
Your answer is 75°, 75°, and 30°
Because you know that angles in a triangle equal 180°, you can find what 1 in terms of the ratio is by adding 2, 5, and 5, and then dividing 180 by that value. 2 + 5 + 5 = 12, so 180 ÷ 12 = 15.
Now that you know that 1 in terms of the ratio is 15, you can multiply 15 by the ratio values, so
15 × 2 = 30°
15 × 5 = 75°
15 × 5 = 75°

I hope this helps!
5 0
3 years ago
7) Explain how to divide $53.56 by 10 WITHOUT USING A CALCULATOR
Sophie [7]

Answer: Okay first think back you surely have divided whole numbers by 10 it is the same with decimals for each 0 in the thing you are dividing it by you move the dot one to the left. So if you divide it by 10 it is 5.356 by 100 it would be 0.5356.

Hence the answer is 5.356.

Step-by-step explanation:

Hope it helps

4 0
2 years ago
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