Mathematics College

Solve for x. Please help quick, it’s my last question for my test

Answers

Answer 1

Answer:

x = 9

Step-by-step explanation:

84 + (7x + 5) + (180 - (17x-1)) = 180

84 + 7x + 5 + (181 - 17x) = 180

270 + (-10x) = 180

90 = 10x

x = 9

Related Questions

a person is earning 600 per day to do a certain job. express the total salary S as a function of the number N of days that the person works.

Answers

Answer:

As im pretty sure the equation would be S=600N

Step-by-step explanation:

What is the constant of proportionality in the equation y=5/9 x?

Answers

Answer:

In your question, the constant of proportionality already jump out at us which is to get y, we have to multiply x by 5/9. Therefore the constant of proportionality is y=5/9x.

For one Algebra test, John had to answer 23 questions. Of these questions, John
answered 47.8% of them correctly. How many questions did John correctly answer on his
test? Round your answer to the nearest whole number if necessary.

Answers

Answer:

11 questions

Step-by-step explanation:

Answer:

10 or 11

Step-by-step explanation:

cross multiply

47.8%/100%=x/23

=10.994

which of these is positive values and which have negative values
7-(-4)

-3+(-2)

5-8

-10+12

Answers

Answer:

Positive: 7-(-4) and -10+12

Negative -3+(-2) and 5-8

Step-by-step explanation:

Addition and subtraction rules

Can someone please help me with this question?
Which of the following represents a dilation that is a reduction with a scale factor larger than 1/2?
A: (x,y) ---> (0.4x,0.4y)
B: (x,y) ---> (0.5x,0.5y)
C: (x,y) ---> (1/4x, 1/4y)
D: (x,y) ---> (0.6x, 0.6y)
Thanks!

Answers

Answer:

Step-by-step explanation:

1/2 is less than .6 and still a reduction

don't be putting random stuff and that's on period

Answers

Answer:

126 divided by 6 which is 27

Step-by-step explanation:

The answer is C

Answer is C!

Sawarasenaikimiwa⛓shoujonano?~

✨BöKùWâÿARiçHiñBįCChīńOoŠuDàYO!~~

5) (4 points each) Consider picking ONE card from a standard deck of cards.
a) What is the probability of picking a Jack or a
b) What is the probability of picking a Spade or
Queen?
a Face Card?
c) What is the probability of picking a Face Card d) What is the probability of picking a Face Card
and a Heart?

Answers

52 cards in a deck
A) 4/52
B) 16/52
C) 12/52
D) 25/52
Hope this is right, I did my best!

A lawn-mowing company is trying to grow its business. It had 26 clients when they started its business and wants to increase by 3 new clients each week. Use an arithmetic sequence to write a function to represent this real-world situation and determine the range of the function for the first four weeks of data.

A. f(x) = 3x + 26; 0 ≤ y ≤ 4
B. f(x) = 3x + 23; 26 ≤ y ≤ 35
C. f(x) = 3x + 26; 26 ≤ y ≤ 35
D. f(x) = 3x + 23; 0 ≤ y ≤ 4

Answers

Answer:

Step-by-step explanation:

I took had this question in my test and im pretty sure I got this correct

The range of the function for the first four weeks of data f(x) = 3x + 26; 26 ≤ y ≤ 35. The correct option is C.

What is the range of the function?

The range of a function in mathematics can refer to one of two closely related ideas: The function's codomain a representation of the action A binary relation f between two sets X and Y is a function if there is exactly one y in Y such that f connects x to y for every x in X.

It is given that a lawn-mowing company is trying to grow its business. It had 26 clients when it started its business and wants to increase by 3 new clients each week.

The equation will be represented as follows:-

Let x be the number of the weeks then the expression will be written as:-

f(x) = 3x + 26

For the first four weeks, the range will be:-

26 ≤ y ≤ 35

Therefore, range of the function for the first four weeks of data f(x) = 3x + 26; 26 ≤ y ≤ 35. The correct option is C.

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Roxanna has a collection of silver spoons from all over the world.
If the spoons are arranged in sets of 7, there are 5 left over.
If the spoons are arranged in sets of 8, there is 1 left over.
If the spoons are arranged in sets of 15, there are 14 left over.
If she has at least 50 spoons, what is the smallest possible number of spoons in her collection?

Answers

Answer: 89

Step-by-step explanation: 8 x 11 + 1 = 89, 7 x 12 + 5 = 89, 15 x 5 + 14 = 89

Khan Academy
Factor using polynomial division
The polynomial p(x) = x3 + 7x2 – 36 has a known factor of (x + 3).
Rewrite p(x) as a product of linear factors.
p(2) =

Answers

Answer:

Rewriting p(x) as a product of linear factors: [tex]\mathbf{f(x)=(x+3)(x-2)(x+6)}[/tex]

Step-by-step explanation:

The polynomial [tex]p(x) = x^3 + 7x^2 - 36[/tex] has a known factor of [tex](x + 3)[/tex]

We need to find other factors.

First we find quotient of [tex]p(x) = x^3 + 7x^2 - 36[/tex] divided by [tex](x + 3)[/tex]

The division is shown in image attached.

The quotient is: [tex]x^2+4x-12[/tex]

Now, factoring the quotient [tex]x^2+4x-12[/tex]

[tex]x^2+4x-12\\=x^2+6x-2x-12\\=x(x+6)-2(x+6)\\=(x-2)(x+6)[/tex]

The other two factors are (x-2)(x+6)

So, Rewriting p(x) as a product of linear factors: [tex]f(x)=(x+3)(x-2)(x+6)[/tex]

You are given 3 to 1 odds against tossing three tails with three coins, meaning you win $3 if you succeed and you lose $1 if you fail. Find the expected value (to you) of the game. Would you expect to win or lose money in 1 game? In 100 games? Explain. Find the expected value (to you) for the game.

Answers

Step-by-step explanation:

To find the E(X) expected value, you come up with the different probabilities for each outcomeyour set of outcomes after 3 tosses would be = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT} where H is heads and T is tailsEach element has a probability of 1/8 so let x represent number of tails[tex]Probability(x)=P(x)\\P(0)=\frac{1}{8} \\P(1)=\frac{3}{8} \\P(2)=\frac{3}{8} \\P(3)=\frac{1}{8}[/tex] The E(x)=Summation (x times P(x))[tex]E(X)=(0)(0.125)+(1)(0.375)+(2)(0.375)+(3)(0.125)=1.5[/tex] Now which probability is 1.5 tails? None, so it is either 2 tails or 1 tailsSo you can expect to lose money in 1 gameBut as you play more games the probability of getting 3 tails becomes more and more likely, so you can expect to win in a 100 games

The expected value is the value of winning made on a game when played overtime. Hence, the expected value of the game is -$0.5 ; with the player losing -$0.5 in the long run.

A coin toss :

{H, T}

Sample space for 3 tosses :

{HHH, HHT, HHT, HTT, HHT, HTT, HTT, TTT}

Toss required to win = 3 tails :

Amount won on success = $3

Amount lost otherwise = $1 = - $1

Creating a discrete probability table :

X _____ 3 _______ - 1P(X) ___ 1/8 _____ 7/8

The expected probability can be defined as :

E(X) = ΣX×P(X)

E(X) = 3 × (1/8) + (-1) × 7/8

E(X) = 3/8 - 7/8 = - 4/8 = -1/2

Therefore, the expected value of the game = - 0.5 ; meaning that, I'll lose 0.5 in the long run.

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Determine the slope of the line represented by the table of values and the y-intercept

Answers

1. M=2 Y-intercept=7
2. M=-3 Y-intercept=-4
3. M=4 Y-intercept=-21
4. M=-5 Y-intercept=-34
5. M=3 Y-intercept=3
6. M=-3 Y-intercept=-1
7. M=2/5 Y-intercept=6/5
8. M=1/2 Y-intercept=3/2

The slopes and the y - intercepts of the lines represented by the tables are calculated below.

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

Given are the tables representing the coordinates [x] and [y].

Table [1]

m = (5 - 3)/(-1 + 2) = 2

[y] - intercept = 7

Table [2]

m = (2 - 5)/(-2 + 3) = -3

[y] - intercept = -4

Table [3]

m = (-13 + 17)/(2 - 1) = 4

-1 = 4 x 5 + c

c = - 1 - 20 = - 21

[y] - intercept = - 21

Table [4]

m = (-9 + 4)/(-5 + 6) = - 5

-6 = - 5 x - 4 + c

c = - 26

[y] - intercept = - 26

Table [5]

m = (6 - 3)/(1 - 0) = 3

[y] - intercept = 3

Table [6]

m = (2 - 5)/(-1 + 2) = - 3

[y] - intercept = - 3

Table [7]

m = (6/5 - 2/5)/(0 + 2) = 2/5

[y] - intercept = 6/5

Table [1]

m = (2 - 1)/(1 + 1) = 1/2

[y] - intercept = 1.5

Therefore, the slopes and the y - intercepts of the lines represented by the tables are calculated above.

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You build a model of Laurel Park using the scale 1.5 inches:10 feet. If the model 94.5
inches wide, what is the width of the school campus?

Answers

Answer:

The width of the school campus is:

[tex] \boxed{ \underline{ \rm{630 \: feet}}}[/tex]

Step-by-step explanation:

Scale = 1.5 inches : 10 feet

That means, 1.5 inches is equals to 10 feet in real.

Then for 1 inch:

⇛ 10 / 1.5 feet

⇛ 10/3 feet

We need to find for 94.5 inches,

⇛ 94.5 inches = 94.5 × 2/3 feet

⇛ 94.5 inches = 63 feet

Thus, the width of the school campus is 63 feet.

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Solve two times five eighths.
Leave your answer as an improper fraction.

A) seven sixteenths
B) ten sixteenths
C) seven eighths
D) ten eighths

Answers

Answer:

Step-by-step explanation:

The improper fraction is ten eighths(10/8).

What is improper fraction?

Improper fractions are ones that have been divided improperly for any number, object, or element, as indicated by the term. A fraction is a portion of a whole in mathematics. Denominator and numerator are the two components of fractions.

A fraction whose numerator exceeds the denominator is referred to as an improper fraction. Consider the case where x/y is an improper fraction and x exceeds y. The incorrect fraction is consequently always bigger than one.

Given two times five eighths.

we need to multiply 2 by 5/8

First, remember that 2 is equal to 2/1 since 2 divided by 1 equals 2. Therefore, frame the issue as follows to begin:

2/1 x 5/8

Combine the denominators (1 x 8) and the numerators (2 x 5 = 10) to create a single fraction, as seen below:

10/8

Hence two times five eighths is 10/8 in improper fraction.

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simpifly 54/27
..................

Answers

Answer:

2/1

Hope this helps.

Answer:

2/1

Step-by-step explanation:

continue dividing the denominator and numerator by 3

Review: Key Concepts
.
Multiplication and division of rational__________ is similar to multiplication and division of rational numbers.

Answers

Answer:

Not helpful

Step-by-step explanation:

Alisha asked 120 students what kind of pet they liked the most. Exactly 45% of the students said they liked dogs best. What is the tottal number of students who said they liked dogs best?

Answers

Answer:

54 students

Step-by-step explanation:

45% of 120 is 54

To work out the percentage of something you want to change the percent in the question into decimal form:

45% = 0.45

Then you want to multiply the number in the question by the percentage in decimal form:

120 x 0.45

Then solve this expression:

120 x 0.45 = 54

Therefore 54 students like dogs best

Find the GCF from the two numbers, and rewrite the sum using the distributive property. 12+18= 42+14= 36+27= 16+72= 44+33= 6. 8 - 16 = 7. 54 + 24 = 8. 63 - 81 = 9. 25 - 60 = 10. 16 – 20 =

Answers

Answer:

65+7 too the test

Step-by-step explanation:

There are 12 boys and 16 girls in a classroom. Which represents the simplified ratio of girls to students in the
classroom?

Answers

Answer: 2:3

Step-by-step explanation:

12/6=2

18/6=3

Answer:

Option A.

Step-by-step explanation:

Options:

A. 3 to 4

B. 4 to 3

C. 4 to 7

D. 7 to 4

In order to simplify a fraction the numerator and the denominator have to have common factors that they can be divided by.

[tex]\frac{12}{16}[/tex]

Divide

[tex]CF=4[/tex]

[tex]12\div4=3[/tex]

[tex]16\div4=4[/tex]

[tex]=\frac{3}{4}[/tex]

Hope this helps.

Victor read 2 1/3 books over 14 days last summer. Assume it took him the same amount of time to read each book. How many days did it take him to read a full book?

I answered 1/6. Is this correct? I need explanation and answer. Will give the branliest!

Answers

Answer:

It took 6 days for Victor to read a full book.

Step-by-step explanation:

Given that Victor read 2 1/3 books in 14 days, and that it took him the same time to read each book completely, to determine the number of days it took him to read a complete book it is necessary to perform the following calculation:

1/3 = 0.333

14 / (2 + 1/3) = X

Answer:

x = -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

-2x + 14 = 20

Step 2: Solve for x

Subtract 14 on both sides: -2x = 6Divide -2 on both sides: x = -3

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: -2(-3) + 14 = 20Multiply: 6 + 14 = 20Add: 20 = 20

Here we see that 20 does indeed equal 20.

∴ x = -3 is a solution of the equation.

Need help plz I’m not rlly smart at math

Answers

Answer:

Step-by-step explanation:

ha ha

Answer:

9ft^2

Step by step explanation:

Area is L × W

so the L would be 3 3/4 ft x 2 2/5ft

with that equation in mind

how do we multiply whole number fractions? well, we make them into improper fractions

3 3/4 becomes (4x3) +3 / 4

2 2/5 becomes (2x5) + 2 / 5

Those answers become

15/4 x 12/5

^ Our improper fractions then we multiply across

15/4 x 12/5

^ 15 x 12 = 180

& 4 x 5 = 20

the final fraction becomes 180/20 and we can simplify that by 20

that becomes 9/1 = 9ft^2

What is the exact angle measure in radians?
495°

Answers

Answer:

495° × π/180 = 8.639

Step-by-step explanation:

The exact angle measure in radians of 495 is; 8.64radians

From convention;

We can say that 360° is equal to 2πrad.

On this note, we can evaluate the value of 495° in rads as; x.

Therefore;

x = (495 × 2 πrad)/360

x = 8.64 radians.