How many solutions does this equation have? 3x + 1 = 3( x - 1) + 4

Answer: The value is not a solution the inequality 8-x>3; x=2

Step-by-step explanation:

8-x>3

-8    -8

----------

-x>-5

----------

-x    -x

x<5

One possible solution for the given system of equations is:

a = 85, b = 1, c = 1.

A system of equations is when multiple variables are related, and equations are built to find the values of each variable, according to the relations given in the problem.

In this problem, we have a system with:

Since the number of variables is greater than the number of equations, we have a free variable, that is, a variable for which we can attribute a value.

We will attribute c = 1, hence the system becomes:

Then one possible solution is a = 85 and b = 1, or vice-versa, as:

Hence one possible solution for the given system of equations is:

a = 85, b = 1, c = 1.

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The student is incorrect as C. No, because 11.4% take one vitamin and 23.5% take more than one vitamin, which is a total of 34.9% taking vitamins

It should be noted that some researchers claim there is an association between taking vitamins and gaining weight.

In this case, a student reading the results stated that more than half of the study participants are taking vitamins. This is incorrect.

It should be noted that 11.4% take one vitamin and 23.5% take more than one vitamin, which is a total of 34.9% taking vitamins.

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Answer:

B. Yes, because 27.4% take one vitamin and 49.5% take more than one vitamin, which is a total of 76.9% taking vitamins.

Step-by-step explanation:

You must add the percentages of the subjects and took vitamins AND did NOT gain weight. The other answer only adds the percentages of those who took vitamins and gained weight. You're looking for the percentage of everyone who took vitamins, regardless of if they gained weight or not.

11.4% + 16% = 27.4% - Takes one vitamin per day
23.5% + 26% = 49.5% - Takes more than one vitamin per day

27.4% + 49.5% = 76.9%

Therefore the student is correct, since it is more than 50% of the participants.

The number of flour cups would be 20

and butter cups would be 10.

The explanation to this question this is

There are total 30 cups of pie crust made.

Now, 2

2:1 is the ratio given.

For flour cups

=  [tex]\frac{2}{3}[/tex] × 30

= 2 × 10

= 20

For butter cups

= [tex]\frac{1}{3}[/tex] × 30

= 1 × 10

= 10

So in total 30 cups of pie crust , there are 20 cups of flour and 10 cups of butter.

Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another.

Two amounts are compared using division in a ratio. In this case, the dividend is referred to as the "antecedent" and the divisor as the "consequent." For instance, out of a group of 30, 17 prefer to walk and 13 prefer to cycle in the morning. We write this information as 17: 13 to express it as a ratio.

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The 86.9167 lbs was the projected weight overstated.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

The baggage weight projected was 2,182 1/4 lbs= 2182.25 lbs  

The actual weight of all bags totaled 2,095 1/3 lbs=2095.33 lbs

According to given question we have

We know that

The overstated weight = Projected weight - Actual weight

The overstated weight = 2182.25 lbs -2095.33 lbs

The overstated weight = 86.9167 lbs

Therefore, the 86.9167 lbs was the projected weight overstated.

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By solving some linear equations, we can see that Mark has 20 marbles and Don has 83 marbles, and these are the numbers they need to sell.

Let's define the variables:

We know that the linear equation:

y = 4x + 3

"If Don has 3 more than 4 times the number of marbles Mark has"

The total number of marbles is 103, then:

x + y = 103.

Then we have two linear equations:

Replacing the first equation into the second one:

x + (4x + 3)  = 103.

5x + 3= 103

5x = 100

x = 100/5 = 20

So Mark has 20 marbles and Don has 83 marbles, and these are the numbers they need to sell.

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+11, -11

The reason the answer is not 11 is not because you did the math wrong its because you gave the answer is just 11.

even when you square a negative number you multiply two negatives to make a positive so it would have to be -11 and +11.

This applies to whenever you square a number, the answer can always be two possibilities the positive and the negative.

The displacement of Maurice from his starting point is 232 miles.

The displacement of an object is the change in the position of the object. Displacement measures how far an object is from its initial position or starting point.

The displacement of Maurice from his starting point is calculated as follows;

|B

|

|                         |A

|                         |

|--------------------- |

A line connecting point A and B will form the displacement of Maurice from his staring point.

line connecting AB = hypotenuse side of the right

Base of the triangle = 168 miles

Height of the triangle = 422 - 262 = 160 miles

AB = √(168² + 160²)

AB = 232  miles

Thus, the displacement of Maurice from his starting point is 232 miles.

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The acres of land Leo plant with soyabeans is 108 acres.

Fractions represent the parts of a whole or collection of objects.

A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.

Now given that,

Total farms of land = 576 acres

Part of land planted soyabeans = 3/16 of total farms of land

Putting the values we get,

Part of land planted soyabeans = 3/16 of 576 acres

Simplifying we get,

Part of land planted soyabeans = 3/16 * 576 acres

Solving we get,

Part of land planted soyabeans = 1,728/16 acres

Thus, we get

Part of land planted soyabeans = 108 acres

this is the required acres of land with soyabeans.

Thus, the acres of land Leo plant with soyabeans is 108 acres.

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Answer:

y=2x-5

Step-by-step explanation:

you use m=y2-y1/x2-x1 which equals 2. So that's our slope. Then you do b=y1 -mx1 or yout could do the second point. This gives you b= 7-(2) x(6)=-5. That's how you get the y. Hope this helps!

Answer:

60 and -60

Hope this helps! :)

REG HOURS WORKED × REG HOURLY PAY = REG WEEKLY PAYCHECK

NEXT

(REG HOURLY RATE × .5) + REG HOURLY RATE = = OT HOURLY RATE

NEXT

TOTAL HOURS WORKED - REG HOURS WORKED= OT HOURS WORKED

NEXT

(TOTAL HOURS WORKED - 40)× OT HOURLY RATE + ;REG WEEKLY PAYCHECK =

TOTAL WEEKLY PAYCHECK

Answer:

[tex](-1,1) \cup (3,5), (-5,2)[/tex]

Step-by-step explanation:

The domain is the set of x-values, and the range is the set of y-values.

Answer: 4-digit numbers can be chosen that are even and greater than 3000 is equal to 192.

Step-by-step explanation:

Given data,

4-digit numbers can be chosen that are even and greater than 3000.

For even numbers, each formed 4-digit number must end with 2, 4, or 6. And each such number greater than 3000 must begin with 3, 4, 5, 6, or 7.

Since five digits [1–5] are available, the number may have four or five digits.

All five-digit numbers are greater than 3000, and there are 5! = 120 permutations of the five digits.

Four-digit numbers greater than 3000 must have one of three digits (3 or 4 or 5) as its first digit. The next three digits must be selected from the four remaining digits available, so the number of permutations is: 4 * 3 * 2 = 24.

There are 3 * 24 = 72 numbers of the form 3xxx, 4xxx, 5xxx (all of which are greater than 3000).

The number of possible sequences of [1–5] greater than 3000 include 120 four-digit numbers and 72 five-digit numbers, so the total is 192.

Therefore,

4-digit numbers can be chosen that are even and greater than 3000 is equal to 192.

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The expression as an inequality involving absolute value is |x - 5| < 1/4

The statement is given as

Express the fact that x differs from 5 by less than 1/4 as an inequality involving absolute value

Rewrite as

x differs from 5 by less than 1/4

Less than means <

So, we have

x differs from 5 < 1/4

Differs means -

So, we have

|x - 5| < 1/4

Hence, the expression as an inequality involving absolute value is |x - 5| < 1/4

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Answer:

distance =  3.72823  miles

6.0000045811 Kph

Step-by-step explanation:

Pace = Time\Distance

Answer: 6.47

Step-by-step explanation:

a hundredth is .01 so 3 of those would be .03, and 6.5 - .03 is 6.47

Answer:

Step-by-step explanation:

A: Kilogram

B: Milliliters

C: 100 Kilometers

Answer:

Step-by-step explanation:

c

Answer:

B is: (9,-5)

Step-by-step explanation:

The square units between A and AB is 6. So six more units in the other direction and you get (9,-5).

Answer: y = (w-3x) / 7

Step-by-step explanation:

w = 3x + 7y

7y + 3x = w

7y = w - 3x

y = (w-3x) / 7

Answer:

Cancer can upset the normal chemical balance in your body and increase your risk of serious complications.

Answer:

Cancer can grow into,or begin to push on near by organs , blood vessels,and nerves. This pressure causes some of the signs and symptoms like fever, extreme tiredness or weight loss. This may be because cancer cells use up much of the body's energy supply.

Population growth is exponential, growing by some multiple over time that is dictated by a rate. To find the population exponential growth formula, take this initial premise, the population multiplied by a rate, and equate it to the change in population with respect to time.

Number of bacteria present after 4 days will be 20.05 .

Given,

Initial population = 18

Growth rate = 2.74%

Here,

The exponential growth is given by ,

N = [tex]N_{0} (1 + r )^t[/tex]

N = population after time t

No = Initial population

r = growth rate

t = time

Here,

No = 18
t = 4 days

r =2.74% = 0.0274

Substitute the values in the formula ,

N = 18 [tex](1 + 0.0274)^{4}[/tex]

N = 20.05 .

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1) The 40th percentile is; 7.6

2) The 75th percentile is; 14.25

The formula to calculate the percentile is;

n = (P/100) * N

where;

P = percentile

N = number of values in a data set (sorted from smallest to largest)

n = ordinal rank of a given value

Let us rearrange the 19 weight values from smallest to largest to get;

20, 21, 23, 25, 26, 28, 29, 30, 32, 35, 39, 40, 41, 42, 43, 44, 45, 46, 50

1) At 40th percentile, we have;

n = (40/100) * 19

n = 7.6

2) The 75th percentile, we have;

n = (75/100) * 19

n = 14.25

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The value of f (x -1) is;

f (x - 1) = x + 4

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

Function f (x) = x + 5

Now,

Find the value of f (x - 1), we substitute the value x = x - 1;

f (x) = x + 5

f (x - 1) = (x - 1) + 5

f (x - 1) = x - 1 + 5

f (x - 1) = x + 4

Thus, The value of f (x -1) is;

f (x - 1) = x + 4

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The derivative of each function h(x) is [tex]192x^{2} +160x^{7} +128-240x^{5}.[/tex]

The rate of change of a function with respect to a variable. Derivatives are fundamental to the solution of problems in calculus and differential equations.

Given:

The given function is

[tex]h(x) = (4x^3 + 8x)(16-5x^5)[/tex]

According to given question we have

[tex]h(x) = (4x^3 + 8x)(16- 5x^{5} )[/tex]

[tex]h'(x)=\frac{d(4x^{3} +8x)(16-5x^{5}) }{dx} \\\\=\frac{d(64x^{3}+20x^{8} +128x-40x^{6}) }{dx} \\\\=192x^{2} +160x^{7} +128-240x^{5}[/tex]

Therefore, the derivative of each function h(x) is [tex]192x^{2} +160x^{7} +128-240x^{5}.[/tex]

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they are both proportional

A. 6.5 apples but you can't buy half a apple so 6 Apples

B. 10 hours

Answer:

5/3 > w and w > -1

Step-by-step explanation:

l3w-1l < 4

3w-1 < 4 and 3w-1 > -4

3w < 5 and 3w > -3

w < 5/3 and w > -1

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