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kakasveta [241]
1 year ago
14

The product of 9 and the quantity 5 more that a number,t, is less that 6

Mathematics
1 answer:
Pepsi [2]1 year ago
7 0

The inequality is 9 ( t + 5 ) < 6.

In mathematics, an inequality is a relation that makes a non-same comparison between two numbers or different mathematical expressions. It is used most often to examine numbers on the quantity line by using their length.

Inequality, In mathematics, is a declaration of an order relationship—greater than, extra than or same too, much less than, or much less than or identical to—between numbers or algebraic expressions.

The definition of inequality is a difference in length, amount, exceptional, social function, or another component. An instance of inequality is if you have ten of something and a person else has none.

Let t be the number.

We know that,

The phrase "5 more than a number t" is equal to adding the number t and 5

(t+5)

The phrase "the product of 9 and the quantity 5 more than a number t" is equal to multiplying 9 by (t+5)

9(t+5)

Less represent the symbol " < ".

Therefore,

The inequality that represents this problem is 9(t+5) < 6.

Learn more about inequality here brainly.com/question/11613554

#SPJ1

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The sum of the numerator and the denominator of the certain fraction is equal to 4,140. When the fraction was reduced, the resul
Sunny_sXe [5.5K]

Answer:

1449/2691

Step-by-step explanation:

We must start from the fraction that is 7/13. Now, we know that it was simplified, with trial and error we can reach the result.

First, let's multiply both by 200:

7 * 200 = 1400

13 * 200 = 2600

1400 + 2600 = 4000

It means that we are missing 140, to reach the objective, that is, we are close, let's try 205 now:

7 * 205 = 1435

13 * 205 = 2665

1435 + 2665 = 4100

We get even closer, only 40 missing, let's try 207 below:

7 * 205 = 1449

13 * 205 = 2691

1449 + 2691 = 4140

We managed to get to the corresponding numbers, therefore the original fraction was 1449/2691

3 0
2 years ago
What statement describes the relationship between ∆ XYZ and ∆ X'Y'Z'?
frutty [35]
I think you forgot to add the attachment.
3 0
3 years ago
Write the set by listing its elements.
IceJOKER [234]

Step-by-step explanation:

set o= o

set t= t

those are the set of letters used to form the set

7 0
3 years ago
You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. You sample 30 nigh
kirill [66]

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean GPA of night students and μ2 be the mean GPA of day students.

The random variable is μ1 - μ2 = difference in the mean GPA of night students and the mean GPA of day students.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 ≠ μ2 H1 : μ1 - μ2 ≠ 0

This is a two tailed test.

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

From the information given,

μ1 = 2.35

μ2 = 2.58

s1 = 0.46

s2 = 0.47

n1 = 30

n2 = 25

t = (2.35 - 2.58)/√(0.46²/30 + 0.47²/25)

t = - 1.8246

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [0.46²/30 + 0.47²/25]²/[(1/30 - 1)(0.46²/30)² + (1/25 - 1)(0.47²/25)²] = 0.00025247091/0.00000496862

df = 51

We would determine the probability value from the t test calculator. It becomes

p value = 0.0746

Since alpha, 0.05 < than the p value, 0.0746, then we would fail to reject the null hypothesis.

3 0
3 years ago
Classify the following is rational or irrational(a) √45​
marshall27 [118]

The numbers that can be expressed in the form of a fraction are called rational numbers. While that numbers that cannot be expressed in the form of a fraction are called irrational numbers.

\sqrt{45} =\sqrt{3 \times 3 \times 5}

\sqrt{45} =3\sqrt{5}

3\sqrt{5} is an irrational number, it cannot be expressed in the form of a fraction.

3 0
3 years ago
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