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2 years ago

A - 6 < 15 + 8a need help fast

Mathematics

1 answer:

ValentinkaMS [17]2 years ago

4 0

Hello, and welcome to Brainly!

To answer this question, you must first isolate the given variable, a. Treat the < sign as an equal sign, in that what you do to one side, you do to the other.

Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& roots)

Multiplications

Divisions

Additions

Subtractions

First, subtract 8a and add 6 to both side inequality.

a (-8a) - 6 (+6) < 15 (+6) + 8a (-8a)

a - 8a < 15 + 6

-7a < 21

Next, isolate the variable, a, by dividing -7 from both sides of the equation. Note that, when dividing or multiplying by a negative number, you must flip the sign:

(-7a)/-7 < (21)/-7

a < 21/-7

a > -3

a > -3 is your answer.

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What is 4855/200 simplified

EleoNora [17]

Answer:

The answer is 2427.5

Step-by-step explanation:

The fraction consists of two numbers and a fraction bar: 4,855/200

The number above the bar is called numerator: 4,855

The number below the bar is called denominator: 200

The fraction bar means that the two numbers are dividing themselves.

To get fraction's value divide the numerator by the denominator:

Value = 4,855 ÷ 200

To calculate the greatest common factor, GCF:

1. Build the prime factorizations of the numerator and denominator.

2. Multiply all the common prime factors, by the lowest exponents.

Factor both the numerator and denominator, break them down to prime factors:

Prime Factorization of a number: finding the prime numbers that multiply together to make that number.

4,855 = 5 × 971;

4,855 is a composite number;

In exponential notation:

200 = 2 × 2 × 2 × 5 × 5 = 23 × 52;

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3 years ago

Multiply and give the answer in scientific notation: (2.3 x 10-3)(3 x 108) A) 6.9 x 105 B) 6.9 x 1011 C) 6.9 x 10-5 D) 6.9 x 102

Furkat [3]

Answer: A) is the right answer. $6.9\times10^{5}$

Step-by-step explanation:

Given product : $2.3\times10^{-3}\times3\times10^8$

To multiply above expression, first we need to combine like terms and then we need to use the law of exponents.

$2.3\times3\times10^{-3}\times10^8\\=(2.3\times3)\times(10^{-3}\times10^8)\\=6.9\times10^{-3+8}......[\text{by law of exponents }a^n\cdot\ a^m=a^{m+n}]\\=6.9\times10^{5}$

Thus, the answer is $6.9\times10^{5}$ .

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3 years ago

The systolic blood pressure (given in millimeters) of males has an approximately normal distribution with mean μ = 122 and stand

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Step-by-step explanation:

7 0

2 years ago

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The table below shows the scores of a group of students on a 10-point quiz.Test ScoreFrequency3 54 15 16 27 28 49 310 1The mean

Katarina [22]

Explanation

Part A

We can use the formula below to find the mean.

$\text{Mean}=\sum ^{}_{}(\frac{fx}{f})$

We will then have;

$\begin{gathered} \text{Mean = }\frac{5\times3+4\times1+5\times1+6\times2+7\times2+8\times4+9\times3+10\times1}{19}=\frac{15+4+5+12+14+32+27+10}{19} \\ =\frac{119}{19}=6.2632 \end{gathered}$

Mean = 6.2632

Part B

Since the data set is odd.

$\begin{gathered} \text{Median}=\frac{(n+1)}{2}^{th}\text{observation} \\ =\text{Value of }\frac{\text{(19+1)}}{2}^{th}\text{observation} \\ =\text{value of 10th observation} \end{gathered}$

Answer: From the column of cumulative frequency cf, the median is 7

5 0

1 year ago

Hey, guys help me answer!

Sliva [168]

Hello and Good Morning/Afternoon

Let's take this problem step by step.

$5=\frac{1}{3}(5x-15)\\ 5=\frac{5}{3}x-5\\ 5+5= \frac{5}{3}x-5 +5\\10=\frac{5}{3}x\\ 10 * 3 = 3* \frac{5}{3}x\\30=5x\\\frac{30}{5} =\frac{5}{5}x\\ 6=x\\x=6$

What did we do in this problem

we ensured that both sides remained equally balanced in value
took everything step-by-step to make sure that there were no mistakes
to check it, we can plug it back into the original equation to see if it works

$5=\frac{1}{3}(5(6)-15)\\ 5=\frac{1}{3} (30-15)\\5=\frac{1}{3}*15\\ 5=5 \checkmark\\$

Answer: x = 6

Hope that helps!

#LearnwithBrainly

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1 year ago

Read 2 more answers

A - 6 < 15 + 8a need help fast​

A - 6 < 15 + 8a need help fast