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solong [7]
3 years ago
6

Two-thirds of the dairy cattle on a farm are in the barn. One-fourth of the beef cattle are in the barn. There are 24 dairy catt

le and 16 beef cattle in the barn. How many more beef cattle are on the farm than dairy cattle?
Mathematics
1 answer:
jek_recluse [69]3 years ago
8 0
The correct answer is 36 - there are 36 more beef cattle on the farm than dairy cattle. We can work this out by multiplying 16 by 3 to get 48. 48 take 12 is 36. 16 is one fourth, 24 is two thirds, which means you then need to divide this by two to get 12, which means that 12 is one third.
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Cheryl is buying lace for her dance costume. One foot of lace costs 3 dollars. How much does each amount cost?
NemiM [27]

Answer:

3/4 of a foot will cost $2.25.

Step-by-step explanation:

This question is solved by rule of three, due to proportions.

One foot of lace costs 3 dollars. How much is 3/4 of a foot going to cost?

1 foot - 3 dollars

3/4 foot - x dollars

x = 3 \times \frac{3}{4} = \frac{9}{4} = 2.25

So

3/4 of a foot will cost $2.25.

7 0
3 years ago
Please help me with this problem
deff fn [24]

Answer:

C.  -3(√y)(∛x²)

Step-by-step explanation:

Recall the rule for exponents with fractions.  The numerator represents the power the variable is raised by, and the denominator represents the which root will be taken.  

y^1/2 equals √y

and x^2/3  equals ∛x²

So the answer is -3(√y)(∛x²)

Look at the attached image for more clarification

7 0
3 years ago
FIND PR.PLS HELP BRAINLIEST...
slega [8]

Answer:

6.2 units.

Step-by-step explanation:

We are given two angles and an opposite corresponding side. To solve for an unknown side, we can use the law of sines.

\frac{8}{sin(90)}=\frac{x}{sin(180-39-90)}=\frac{x}{sin(51)}

Cross multiplying and solving will get you this:

x=\frac{8(sin(51))}{sin(90}

Which can simplify to:

x=8(sin(51))

Which putting into a calculator gets you:

x=6.2

So the line PR is 6.2 units long.

6 0
3 years ago
12 less than 7 times a number x
erma4kov [3.2K]
The answer is 5x because when you do the math 12 subtracted by 7 equals 5 then you add the x at the end.
8 0
3 years ago
Write the equation in exponential form. Assume that all constants are positive and not equal to 1.
algol13

Answer:

1.     16 = 4^2

2.    2 = {16}^{\frac{1}{4}}

3.    log_2 y=z

Step-by-step explanation:

1.\ log_2 16=4

Write in exponential form

Using the law of logarithm which says if

log_b A=x

then

A = b^x

By comparison;

A = 16; b = 2 and x = 4

The expression log_2 16=4 becomes

16 = 4^2

2.\ log_{16} 2=\frac{1}{4}

Write in exponential form

Applying the same law as used in (1) above;

A = 2; b = 16 and x = \frac{1}{4}

The expression log_{16} 2=\frac{1}{4} becomes

2 = {16}^{\frac{1}{4}}

3.\ 2^z=y

Write in logarithm form

Using the law of logarithm which says if

b^x =A

then

log_b A=x

By comparison;

b = 2; x = z and A = y

The expression 2^z=y becomes

log_2 y=z

3 0
3 years ago
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