-33 - 4x = 2 - 3(4x - 7)

Answers

Answer 1

Answer:

-33-4x=-1(4x-7)

-33-4x=-4x+7.

-33-7=-4x+4x.

=-40.


Related Questions

My square orchid garden abuts my house so that the house itself forms the northern boundary. The fencing for the southern boundary costs $4 per foot, and the fencing for the east and west sides costs $2 per foot. Find the total cost of the fencing as a function of the length of a side x.

Answers

Answer:

The total cost of the fencing as a function of side is [tex]C = 8\cdot x[/tex].

Step-by-step explanation:

Dimensionally speaking, the total cost is equal to the product of length and cost per length. Given that orchid garden has a square form, there is only an input: Side ([tex]x[/tex]), measured in feet. Therefore, the total cost of fencing is represented by the following formula:

[tex]C = (c_{west} + c_{south} + c_{east})\cdot x[/tex]

Given that [tex]c_{west} = c_{east} = 2\,\frac{\$}{ft}[/tex] and [tex]c_{south} = \$\,4\,\frac{\$}{ft}[/tex], the total cost of the fencing as a function of side is:

[tex]C = 8\cdot x[/tex]

The 17 students on the math team want to raise $483.62 to buy practice books. They have already raised $218.25. If each student raises the same amount, how much money must each student raise?

Answers

Each student should raise $15.61. First you subtract the already earned 218.25 from the goal, 483.62. Then you divide that number from 17

EFGH is a rhombus. Rhombus E F G H is shown. Diagonals are drawn from point E to point G and from point F to point H. All sides are congruent. Given EG = 16 and FH = 12, what is the length of one side of the rhombus? 6 units 8 units 10 units 14 units

Answers

Answer:

10 units

Step-by-step explanation:

The diagnonals of a rhombus meet at right angle to their selves and bisect each other.

So one quarter will form a right angle triangle of base 6 and height 8.

Let The length of one side of the rhombus be x

X²= 8²+6²

X²= 64+36

X²= 100

X= √100

X= 10 units

Answer:

answer is C. 10 units. Just took the test

Step-by-step explanation:

Isabella decides to sell handmade stationery. She decides to sell 2 cards for $9. Which table below show the possible values of c, the number of cards Isabella sells, and d, the number of dollars she charges? F. H. G. J. CARDS, c 2 9 11 15 DOLLARS, d 9 40.5 50.5 67.5 CARDS, c 9 18 27 36 DOLLARS, d 2 4 6 8 CARDS, c 2 4 7 10 DOLLARS, d 9 18 31.5 45 CARDS, c 2 3 4 5 DOLLARS, d 9 10 11 12

Answers

Answer:

G.

Step-by-step explanation:

cards = 2

dollars = 9

to check that the number of cards with the correct amount d;

use the ratio and proportion.

(3 x 18)/9 = 4

(4 x 31.5)/18 = 7

(7 x 45)/31.5 = 10

therefore, option G. table G. is the correct answer

try doing the ratio and proportion on the other table and the number of cards DO NOT match with the amount.  (see attached)

If M is the midpoint of XY, find the coordinates of X if M(-3, -1) and Y(-8, 6) A. (2.5, -5.5) B. (-5.5, 2.5) C. (0, 0) D. (2, -8)

Answers

Answer:

(2, -8)

Step-by-step explanation:

(x, y)=(-3, -1)

(x1+x2)/2=-3,

(y2+y2)/2=-1,

-------------------

(x1+x2)/2=-3

(y1+y2)/2=-1

---------------------

x1-8=-6

x1=2

----------

y1+6=-2

y1=-8

(2, -8)

Isabella decides to sell handmade stationery. She decides to sell 2 cards for $9. Which table below show the possible values of c, the number of cards Isabella sells, and d, the number of dollars she charges?

Answers

Answer:

G.

Step-by-step explanation:

cards = 2

dollars = 9

to check that the number of cards with the correct amount d;

use the ratio and proportion.

(3 x 18)/9 = 4

(4 x 31.5)/18 = 7

(7 x 45)/31.5 = 10

therefore, option G. table G. is the correct answer

try doing the ratio and proportion on the other table and the number of cards DO NOT match with the amount.  (see attached)

A farmer harvests 15 cucumbers for every 45 carrots. Which of the following ratios represents the ratio of cucumbers to carrots, in simplest form? 4 3 please help

Answers

Answer:

1 : 3.

Step-by-step explanation:

15 : 45

Divide both numbers by 15 , we get:

1 : 3.

Look at the factors of 18 and 30. What is the greatest common factor? factors of 18: 1, 2, 3, 6, 9, 18 factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

Answers

Answer:

is number 6

Step-by-step explanation:

the greatest common factor is the largest common factor of those.

The greatest common factor of 18 and 30 is 6.

To find the greatest common factor (GCF) of 18 and 30, we can list their factors and identify the largest factor they have in common.

Factors of 18: 1, 2, 3, 6, 9, 18

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

The common factors between 18 and 30 are 1, 2, 3, and 6.

The largest common factor is 6.

Therefore, the greatest common factor of 18 and 30 is 6.

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Can anyone please help me solve this question? (If you can, of course)

Answers

Answer:

[tex]\frac{4}{9}[/tex]

Step-by-step explanation:

Create 2 equations with the repeating number after the decimal point, then subtract the equations to eliminate the repeating number.

let x = 0.4444.... → (1) ← multiply both sides by 10

10x = 4.4444.... → (2)

Subtract (1) from (2) eliminating the repeater

9x = 4 ( divide both sides by 9 )

x = [tex]\frac{4}{9}[/tex]

Thus 0.444444... = [tex]\frac{4}{9}[/tex]

To know which power of 10 to multiply by

The power of 10 is the value to ensure the repeating 4 is after the decimal point.

Here it was [tex]10^{1}[/tex] as we required 0.4444.. → 4.444...

Help ASAP! MATH!!! Important

Answers

Answer:

x=3

Step-by-step explanation:

BC= 5 ~ EC=25

And we can see that BC times 5 equals the EC value. This means that BA times 5 will equal ED.

So we can set 5 * (BC) = (ED)

5x=18-x

Then solve for x:

6x=18

x=3

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

So we are given that ΔABC and ΔDEC are similar.

In other words, AB and DE are similar. And CA and CD are also similar.

When the sides are similar, it means that their proportions are equal to the each other. Therefore:

[tex]\frac{AB}{DE}=\frac{CA}{CD}[/tex]

Substitute 30 for AB, 18 for DE, 2x-1 for CA and x+1 for CD. So:

[tex]\frac{30}{18}=\frac{2x-1}{x+1}[/tex]

Reduce the left by dividing both layers by 6. Thus:

[tex]\frac{5}{3}=\frac{2x-1}{x+1}[/tex]

Cross multiply:

[tex]3(2x-1)=5(x+1)[/tex]

Distribute:

[tex]6x-3=5x+5[/tex]

Add 3 to both sides:

[tex]6x=5x+8[/tex]

Subtract 5x from both sides:

[tex]x=8[/tex]

So, the value of x is 8.

And we're done :)

Karen Sullivan delivers newspapers for the Tribune Dispatch. She
receives 18.2 cents per paper, 6 days a week (for the daily paper),
and 70 cents for the Sunday paper. She delivers 124 daily papers each
day and 151 Sunday papers each week. What is her total pay?

Answers

The correct answer is $241.1 each week and $964.4 each month

Explanation:

To calculate the amount Karen should receive, it is required to calculate the money she earned from Monday to Saturday and then the money she earned on Sunday as the amount paid per paper is different on Sunday.

Monday to Sunday:

Karen delivers 124 papers each day from Monday to Sunday. This means she delivers a total of 744 papers (124 papers each day x 6 days = 744 papers). Now, let's find the money she earned from Monday to Sunday:

744 papers x 18.2 cents = 13540 cents or 135.4 dollars (each dollar is equivalent to 100 cents, which means if you divide the cents into 100 you get the equivalent in dollars)

This means the total Karen earned from Monday to Saturday is $135.4

Sunday:

Karen delivers 151 Sunday papers and with each of these she earns 70 cents

151 papers x 70 cents = 10570 cents or 105.7 dollars

Total per week:

$135.4 + $105.7 = $241.1 each week, which is equivalent to $964.4 a month ($241.1 x 4 weeks = $964.4 )

Can you think of a situation where it would make the most sense to express your birth year in binary numbers?

Answers

Answer:

Yeah I've thought of it and have an example with the year 2000 as the birth year

So 2000 In binary= 11111010000

Step-by-step explanation:

Binary numbers consist of only 0 and 1

So to convert a number to binary we divide by 2

Let's assume a birth year of 2000

Now let's convert it to binary

2000/2= 1000 R 0

1000/2= 500 R 0

500/2= 250. R 0

250/2= 125. R 0

125/2 = 62. R 1

62/2= 31. R 0

31/2= 15. R 1

15/2 = 7. R. 1

7/2= 3. R 1

3/2 = 1. R 1

1/2 = 0. R 1

Where R signifies the remainder

So we'd pick the remainder from the bottom and that becomes our binary number

So 2000 In binary= 11111010000

given the sequence -2,-8/3,-10/3,-4,-14/3 find the recursive formula

Answers

Step-by-step explanation:

-2, -8/3, -10/3, -4, -14/3

Write as multiples of 1/3.

-6/3, -8/3, -10/3, -12/3, -14/3

This is an arithmetic sequence where the first term is -6/3 and the common difference is -2/3.

Therefore, the recursive formula is:

aᵢ₊₁ = aᵢ − 2/3, a₁ = -2

Automobile repairs and maintenance cost
Jana Padgett $900 last year. She drove 15,900
miles. To the nearest cent, what was her cost
per mile?

Answers

Answer:

17.67

Step-by-step explanation:

You find the unit rate. So, 15,900 divided by 900 gives you 17.666666 (repeating). Then round to the nearest cent to get 17.67

There are 45 children in a class. If
9 of them are absent, what
percentage of the class is absent?​

Answers

Answer:

20%

Step-by-step explanation:

Total = 45

Absentees = 9

Percentage  = (No. of absentees / total) × 100

                    = 9 / 45 × 100

                    = 0.2 × 100

                    = 20%

Answer:

20% of the children are absent

Step-by-step explanation:

Number of children absent = 9

Total children in the class = 45

Percent of absent children / total children is defined as the quotient 9/45 multiplied by 100. That is;

[tex]\frac{9}{45} \,*\,100 = 0.2 \,*\,100=20\,%[/tex]

SO the percentage is 20%

name all the values of x if
7|x|=63
(seven times the absolute value of x equals sixty-three)

Answers

Answer:

I think they are

|9|

|-9|

I’m having a bit of trouble with this

Answers

Hey buddy please specify the trouble so that we can answer that
Thanks

The perimeter of the rectangle is 56 cm. Find the value of x.
10 cm
3x cm

Answers

56-10=46. 46 divided by 3=15.3 with the 3 repeating
Answer: x = 6

Explanation:

P = 2(l + w)
56 = 2(3x + 10)
56 = 6x + 20
56 - 20 = 6x
36 = 6x
36/6 = x
6 = x

Therefore, x = 6

Refer to the sample data for​ pre-employment drug screening shown below. If one of the subjects is randomly​ selected, what is the probability that the test result is a false​ positive? Who would suffer from a false positive​ result? Why?
Pre-Employment Drug Screening Results
Positive test result Negative test result
Drug Use Is Indicated Drug Use Is Not Indicated
Subject Uses Drugs 38 12
Subject Is Not a drug user 19 29

Answers

Answer:

probability of a false positive test result = 0.010 The non-drug user will suffer from the result since it is positive

Step-by-step explanation:

The probability that the test result  is a false positive

total number of cases studied  (n) = 38 + 12 + 19 + 29 = 98

number of false positive cases ( x ) = 1

probability of false positive result = x / n = 1/98 = 0.010

The non-drug user will suffer from the result since it is positive

(-2,5) and (4,10) slope of the line containing points

Answers

Answer:

Step-by-step explanation:

(10-5)/(4+2) = 5/6

y - 5 = 5/6(x + 2)

y - 15/3 = 5/6x + 10/3

y = 5/6x + 25/3

Jill says that
23
1
,
000
can be written as 0.23. Which explains whether or not Jill is correct?

Answers

Answer:

Jill is incorrect

Step-by-step explanation:

Given

[tex]\frac{23}{1000}= 0.23[/tex]

Required

Determine if Jill is correct or incorrect

Start by solving the expression on the left hand side:

[tex]\frac{23}{1000} = 0.023[/tex]

The result of [tex]\frac{23}{1000}[/tex] gives 0.023 and not 0.23 as Jill as said;

Hence;

Jill is incorrect and the expression is false;

An architect is redesigning a rectangular room on the blueprints of the house. He decides to double the width of the room, increase the length by 48 %, and increase the height by 18 %. By what factor has the volume of the room increased

Answers

Answer:

3.4928.

Step-by-step explanation:

Initial volume of the rectangular room = Length * Width * Height

V = LWH .............1

If the width is doubled then new width W2 = 2W

If the length is increased by 48%, the new Length L2 = L + 0.48L = 1.48L

If the height is increased by 18%, the new height H2 = H + 0.18H = 1.18H

The new volume after increasing all the dimensions will be;

V2 = L2W2H2

V2 = (1.48L)(2W)(1.18H)

V2 = 3.4928LWH ................2

Now we will divide equation 2 by 1 to have;

V2/V = 3.4928LWH/LWH

V2/V = 3.4928

V2 = 3.4928V

This means that the volume of the room has increased by the factor of 3.4928.

Decide which of the two given prices is the better deal and explain why.
You can fill a ​12 gallon tank of gas for ​$43.75 or buy gas for ​$3.30​/gallon.
Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

A. The better deal is to because the price to fill a ​12 gallon tank of gas for ​$43.75 is ​$ ____ per gallon.
B. The better deal is to buy gas $3.30/gallon because the price to fill a 12​-gallon tank of gas for ​$43.75 is ​$____per gallon.

Answers

Answer:

B; $3.30

Step-by-step explanation:

Since $43.75 is the cost of 12 gallon tanks, you want to multiply $3.30 by 12 to compare them when they each have the same amount of gallon tanks. This gets us to $39.60 which makes B the better deal.

However, the question asks for the unit price of one gallon tank, so you would want to put $3.30.

The better deal is to buy gas $3.30/gallon because the price to fill a 12​-gallon tank of gas for ​$43.75 is ​$ 39.60 per gallon.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

It is given that You can fill a ​12 gallon tank of gas for ​$43.75 or buy gas for ​$3.30​/gallon.

Since $43.75 is the cost of 12 gallon tanks, we need to multiply $3.30 by 12 to compare them when they each have the same amount of gallon tanks.

$3.30 x 12 = 39.60

Thus, $39.60 which makes B the better deal.

However, the question asks for the unit price of one gallon tank, so we would want to put $3.30.

The better deal is to buy gas $3.30/gallon because the price to fill a 12​-gallon tank of gas for ​$43.75 is ​$ 39.60 per gallon.

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how many times does 3/4 go into 4.5

Answers

Answer:

6 times

Step-by-step explanation:

Turn that fraction into a decimal. 3/4=0.75

Divide!

4.5/0.75=6

A number 4.5 is 6 times of number 3/4.

We have to given that,

To find how many times does 3/4 go into 4.5.

Let us assume that,

x times does 3/4 go into 4.5.

Hence, It can be written as,

⇒ x × 3/4 = 4.5

Solve for x,

⇒ 3x /4 = 4.5

⇒ 3x = 4.5 × 4

⇒ 3x = 18

Divide by 3;

⇒ x = 18/3

⇒ x = 6

Therefore, 4.5 is 6 times of number 3/4.

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Use a power series to approximate the value of the integral with an error of less than 0.0001. (Round your answer to four decimal places.)
integral^1_0 sin(x)/x dx
integral^1_0 sin(x)/x dx approximately equal to summation^2_n=0 (-1)^n x^2n+1 (-1)^n (x-1)^n/(2n + 1)!

Answers

Answer:

The answer is "0.9461"

Step-by-step explanation:

Given:

[tex]\int^1_0 \frac{sin(x)}{x} dx\\\\[/tex]

[tex]\int^1_0 \frac{sin(x)}{x} dx\\\\[/tex] [tex]\sum^2_{n=0}\frac{(-1)^n x^{2n+1} (-1)^n (x-1)^n}{(2n + 1)!}[/tex]

[tex]\therefore[/tex]

[tex]\to \sin x = \sum^{\infty}_{n=0} (-1)^n\frac{x^{(2n+1)}}{(2n + 1)!}[/tex]

[tex]\because \\\\ \to \frac{\sin x}{x} =\sum^{\infty}_{n=0} (-1)^n \frac{x^{2n+1-1}}{(2n+1)!}\\[/tex]

           [tex]=\sum^{\infty}_{n=0} (-1)^n \frac{x^{2n}}{(2n+1)!}[/tex]

The value is in between 0 and 1 then:

 [tex]\to \int^1_0 \frac{sin(x)}{x} = =\sum^{2}_{n=0} \frac{(-1)^n}{ (2n+1) (2n+1)!}[/tex]

The above-given series is an alternative series, and it will give an error, when the nth term is bounded by its absolute value, that can be described as follows:

[tex]\to \frac{1}{(2n+3) (2n+3)!}< 0.0001\\\\\to (2n+3) (2n+3)!> 0.0001\\\\\to n\geq 2 \\[/tex]

So,

[tex]\int^1_0 \frac{sin(x)}{x} dx\\\\[/tex] [tex]1 - \frac{1}{3 \cdot 3!}+\frac{1}{5 \cdot 5!}\\\\[/tex]

                  [tex]\approx 1 - \frac{1}{3 \cdot 6}+\frac{1}{5 \cdot 120}\\\\\approx 1 - \frac{1}{18}+\frac{1}{600}\\\\\approx 1 - \frac{1}{18}+\frac{1}{600}\\\\\approx \frac{18-1}{18}+\frac{1}{600}\\\\\approx \frac{17}{18}+\frac{1}{600}\\\\\approx \frac{1700+3}{1800}\\\\ \approx \frac{1703}{1800}\\\\\approx 0.9461[/tex]

The given series is an alternative series and will give an error when the nth term is bounded by its absolute value, then the approximation summation is equal to 0.9461.

What is a power series?

The finite series can be used as a polynomial with an infinite number of the term.

[tex]\int_{0}^{1} \dfrac{\sin x}{x} dx = \sum_{n=0}^{2} \dfrac{(-1)^{n}x^{2n+1}(-1)^{n}x^{n}}{(2n+1)!}[/tex]

Then we have

[tex]\Rightarrow \sin x = \sum_{n=0}^{\infty} (-1)^{n} \dfrac{x^{2n+1}}{(2n+1)!} \\\\\\\Rightarrow \dfrac{\sin x}{x} = \sum_{n=0}^{\infty} (-1)^{n} \dfrac{x^{2n+1-1}}{(2n+1)!}\\\\\\\Rightarrow \dfrac{\sin x}{x} = \sum_{n=0}^{\infty} (-1)^{n} \dfrac{x^{2n}}{(2n+1)!}[/tex]

Then the value is between 0 and 1, will be

[tex]\Rightarrow \int_0^1 \dfrac{\sin x}{x} = \sum_{n=0}^{2} \dfrac{(-1)^{n} }{(2n+1)(2n+1)!}[/tex]

The given series is an alternative series and will give an error when the nth term is bounded by its absolute value, then which can be described as

[tex]\Rightarrow \dfrac{1}{(2n+3)(2n+3)!} < 0.0001\\\\\\\Rightarrow (2n+3)(2n+3)! = > 0.0001\\\\\\\Rightarrow n > 2[/tex]

So,

[tex]\int _0^1 \dfrac{\sin x }{x} dx \approx 1- \dfrac{1}{3\times 3!} + \dfrac{1}{5\times 5!}\\\\\\\int _0^1 \dfrac{\sin x }{x} dx \approx 1- \dfrac{1}{3\times 6} + \dfrac{1}{5\times 120}\\\\\\\int _0^1 \dfrac{\sin x }{x} dx \approx 1- \dfrac{1}{18} + \dfrac{1}{600}\\\\\\\int _0^1 \dfrac{\sin x }{x} dx \approx 0.9461[/tex]

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3n(5+3n-8-3n) what is the answer


Answers

Answer:

-9n

Step-by-step explanation:

3n(5 + 3n - 8 - 3n)

First we combine the like terms inside the parenthesis:

3n(-3)

Because 5 -8 = -3 and 3n - 3n = 0

Now we multiply:

-9n

because 3n × -3 = - 9n

So the answer is -9n

There are 15 students in the preschool class. For every 7 kids there is 1 teacher. Which ratio shows the number of teachers to the number of students in the class?

Answers

15=2

7+7=14+1=15=2

sooooooooo just going to keep righting

The ratio of student to teacher is 1:7

What is a ratio?

The quantitative relation between two amounts showing the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"

Given: There are 15 students in a preschool class and for every 7 students there is 1 teacher. Clearly the ratio is 1:7

Hence, The ratio of student to teacher is 1:7

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What is the equation of a vertical line passing through the point (-4, 7)?

Answers

The equation of a vertical line passing through (-4,7) is x = -4

Compute the critical value z Subscript alpha divided by 2 that corresponds to a 96​% level of confidence.

Answers

Complete Question

Compute the critical value  [tex]Z_{\frac{\alpha }{2} }[/tex]   that corresponds to a  96​%  level of confidence.

Answer:

The value is  [tex]Z_{\frac{\alpha }{2} } = Z_{\frac{0.04}{2} }= 2.326[/tex]

Step-by-step explanation:

From the question we are told that

    The confidence level [tex]C = 96\%[/tex]

     

Generally the level of significance is mathematically represented as

      [tex]\alpha = (100 -96)\%[/tex]

      [tex]\alpha = 0.04[/tex]

Now from the normal distribution table the critical value for [tex]\frac{\alpha }{2}[/tex] is

    [tex]Z_{\frac{\alpha }{2} } = Z_{\frac{0.04}{2} }= 2.326[/tex]

You decide to get a new job as a furniture salesman. Each day you work you get $180 plus an additional $27 for each couch , chair , table you sell. Write a linear equation for the pay p for x piece of furniture sold on a shift.

Answers

Answer:

180+27x=p

Step-by-step explanation:

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