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1 year ago

Can someone please help me with this( there is a part two)

Mathematics

1 answer:

Andrews [41]1 year ago

4 0

Part A:

We will have that the inequality that represents the scenario is:

$1.75x\le35$

Where x is the number of horses.

Part B:

The solution of the inequality is:

$x\le\frac{35}{1.75}\Rightarrow x\le20$

This means that Sunshine Acre Farm can support at most 20 horses.

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Why is it important to look at more than the first two numbers of a pattern to decide the rule for the pattern?

Alexxandr [17]

Answer:

This is important because, the first few numbers might seem to follow a pattern but subsequent numbers might reveal a change in the rule.

Step-by-step explanation:

When studying patterns it is important to evaluate all the figures holistically instead of drawing conclusions based on just the first few numbers because there might be a change in what we felt was obvious on close observance of all the numbers. For example, observe the pattern;

2,4,6, 10, 14, 18, 20, 22, 24

The first two numbers show the addition of two. If a person decides to add 2 to all the figures, he would be wrong because after the first three figures, he would have to add 4 to the numbers.

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2 years ago

Which algebraic expression is equivalent to the expression below? 25/4(5x-4/5)+29

andre [41]

Notice* No options are provided, so I will solve the expression.

Answer:

$\frac{125x+96}{4}$

Step-by-step explanation:

Step 1: Simplify $\frac{4}{5}$

Step 2: Rewriting the whole as an Equivalent Fraction

Subtracting a fraction from a whole

Rewrite the whole as a fraction using 5 as the denominator :

5x = 5x/1 = 5x * 5/5

<em>Equivalent fraction</em> : The fraction thus generated looks different but has the same value as the whole

<em>Common denominator </em>: The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

dding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

5x • 5 - (4) 25x - 4

-------------- = ---------

5 5

Step 3: Simplify 25/4

Rewriting the whole as an Equivalent Fraction :

Adding a whole to a fraction

Rewrite the whole as a fraction using 4 as the denominator :

29 = 29/1 = 29 * 4/4

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

5 • (25x-4) + 29 • 4 125x + 96

--------------------------- = -----------

4 4

Final result :

125x + 96

—————————

___________

Terms and topics:

Dividing exponents
Polynomial roots
Nonlinear equations
Equations which are reducible to quadratic
Reducing fractions to lowest terms

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2 years ago

A garden snail moves 1/6 foot in 1/3 hours. what is the unit rate?

fiasKO [112]

1 hour=1/6+1/6+1/6
1 hour=3/6
1 hour=1/2

for every hour, the snail moved 1/2 a foot

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3 years ago

Read 2 more answers

What is the sum of a common geometric series if the first term is 8 and the common ratio is 1/2?

stealth61 [152]

Answer: A

Step-by-step explanation:

The sum to infinity of a geometric series is

S (∞ ) = \frac{a}{1-r} ( - 1 < r < 1 )

where a is the first term 8 and r is the common ratio, hence

S(∞ ) = {8}{1-\{1}{2} } = {8}{1}{2} } = 16

6 0

3 years ago

Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 72.6 Mbp

Lapatulllka [165]

Answer:

a. 54.05 Mpbs.

b. 2.745... standard deviations.

c. The z-score is 2.745....

d. The carrier's highest data speed is significantly high.

Step-by-step explanation:

a. The difference between the highest measured data speed and the mean is 72.6 - 18.55 = 54.05 Mbps.

b. The amount of standard deviations of 54.05 Mbps is equal to this value divided by the standard deviations, so we yield $\frac{54.05}{19.69} = 2.745...$ standard deviations.

c. The z-score is equal to the difference between the mean and a data point in standard deviations, so the z-score is 2.745....

d. 2.745... is not between -2 and 2, so the carrier's highest data speed is not insignificant - so it's significantly high.

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3 years ago