Solve for x. 3 (2x + 7) = 15 (x - 4)

Answer:

The answer is 8

Step-by-step explanation:

use order of operations.

*remember that there is an understood -1 in -(-8). this can also be written as -1(-8)*

[tex]-6-(-8)+6\\-6+8+6\\2+6\\8[/tex]

hope this helps!

Answer:

{ x : x = odd natural numbers < 41 }

Step-by-step explanation: Hope this helps!

Answer: Exact Form:  4 /5

Decimal Form:  0.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Cancel -3

[tex]\frac{1}{5x4}[/tex]

Simplify  5 x 4 to 20.

​[tex]\frac{1}{20}[/tex]

Decimal Form: 0.05

Step-by-step explanation:

fg(x) =

[tex] {(x - 4)}^{2} + 3(x - 4)[/tex]

=

[tex] {x}^{2} + 16 - 8x + 3x - 12[/tex]

=

[tex] {x}^{2} - 5x + 4[/tex]

Answer:

The slopes are perpendicular

Step-by-step explanation:

Points A and B line on the line y = 2/3x + 4.

This line is in the form

y = mx+b where m is the slope

The slope is 2/3

Points C and D line on the line 6x + 4y = 16.

Solve for y

6x+4y = 16

4y = -6x +16

Divide by 4

4y/4 = -6/4x + 16/4

y = -3/2 x +4

The slope is -3/2

The slopes multiply to -1

2/3 * -3/2 = -1

so they are perpendicular

Answer:

The complex numbers have opposite imaginary parts.

Step-by-step explanation:

right on edge 2020

124

i added 94+33 then substracted 3 hope it helps you

Answer:

linear polynomial

Step-by-step explanation:

as no degree is given

Answer: [tex]\mu_{x+y} =[/tex] 3026

              [tex]\mu_{x-y}=[/tex] 30

Step-by-step explanation: Average sum of the female and male's test score is the sum of expected value of each gender:

[tex]\mu_{x+y}=\mu_{x}+\mu_{y}[/tex]

Assuming x represents the random male selected and y represents the random female selected:

[tex]\mu_{x+y}=1528+1498[/tex]

[tex]\mu_{x+y}=[/tex] 3026

The average sum of their scores is 3026.

Average difference is the difference between the expected value (mean) of each gender:

[tex]\mu_{x-y}=\mu_{x}-\mu_{y}[/tex]

[tex]\mu_{x-y}=[/tex] 1528 - 1498

[tex]\mu_{x-y}=[/tex] 30

The average difference of their scores is 30.

Answer:

9/35 or 0.2571428

Answer:

9/35 (Already Simplified)

Step-by-step explanation:

For fraction multiplication, multiply the numerators and then multiply the denominators to get

4×97×20=36140

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 36 and 140 using

GCF(36,140) = 4

36÷4140÷4=935

Therefore:

47×920=935

Solution by Formulas

Apply the fractions formula for multiplication, to

47×920

and solve

4×97×20

=36140

Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(36,140) = 4

36÷4140÷4=935

Therefore:

4/7×9/20=9/35

Answer:

[tex]y = 0.88x[/tex]

Step-by-step explanation:

Given

[tex]Discount = 20\%[/tex]

[tex]Sales\ Tax = 8\%[/tex]

Required

Determine the final price

First, we need to determine the sales price after the discount.

[tex]Discount = 20\% * x[/tex]

[tex]Discount = 0.20 * x[/tex]

[tex]Discount = 0.20x[/tex]

[tex]Sales\ Price = x - Discount[/tex]

[tex]Sales\ Price = x - 0.20x[/tex]

[tex]Sales\ Price = 0.80x[/tex]

Next, is to determine the sales tax.

[tex]Sales\ Tax = 8\% * x[/tex]

[tex]Sales\ Tax = 0.08 * x[/tex]

[tex]Sales\ Tax = 0.08x[/tex]

Final Price, y is then calculated as thus:

[tex]y = Sales\ Price + Sales\ Tax[/tex]

[tex]y = 0.80x + 0.08x[/tex]

[tex]y = 0.88x[/tex]

Answer:

Step-by-step explanation:

A + B = (-4x^2 +2x -5) +(3x^2 +6) = x^2(-4+3) +x(2) +(-5+6) = -x^2 +2x +1

  The given sum is Incorrect.

__

A - C = (-4x^2 +2x -5) -(-5x -4) = -4x^2 +x(2+5) +(-5+4) = -4x^2 +7x -1

   The given difference is Correct.

__

B + C = (3x^2 +6) +(-5x -4) = 3x^2 -6x +2

  The given sum is Incorrect.

Answer:

a & c

Step-by-step explanation:

edge

Answer:

A. Point H is the center of the circle that passes through points D, E, and F

C. HC≈HD

Answer:

5040

your welcome

Answer:

A=35

hope this helps

can you also please mark me as brainliest?

Answer:

4.1231 or 4

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

Option A. y = –2x + 27

Step-by-step explanation:

y – 7 = ½(x + 2)

We'll begin by calculating the slope of the equation above. This can be obtained as follow:

y – 7 = ½(x + 2)

Clear bracket

y – 7 = ½x + 1

Rearrange

y = ½x + 1 + 7

y = ½x + 8

Comparing

y = ½x + 8

with

y = mx + c

The slope (m) = ½

Next, we shall determine the slope (m2) of the equation perpendicular to the line. This can be obtained as follow:

For perpendicularity,

m1 × m2 = –1

m1 = ½

½ × m2 = –1

m2 /2 = –1

Cross multiply

m2 = 2 × –1

m2 = –2

Therefore, the slope of the equation perpendicular to the line is –2

Finally, we obtained the equation of the line as follow:

Coordinate = (6, 15)

x1 coordinate = 6

y1 coordinate = 15

Slope (m) = –2

y – y1 = m(x – x1)

y – 15 = –2(x – 6)

Clear bracket

y – 15 = –2x + 12

Rearrange

y = –2x + 12 + 15

y = –2x + 27

Therefore, the equation is y = –2x + 27

Answer:

Step-by-step explanation:

Pretty sure it's the third picture where it makes a U shape, since it passes the vertical line test.

Answer:

The answer is

[tex] \huge \boxed{ \frac{1}{2} }[/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(9,7) and (5,5)

The slope is

[tex]m = \frac{5 - 7}{5 - 9} = \frac{ - 2}{ - 4} = \frac{2}{4} = \frac{1}{2} \\ [/tex]

We have the final answer as

[tex] \frac{1}{2} \\ [/tex]

Hope this helps you

Answer:

quad form is (plus or minus)

Step-by-step explanation:

[tex]-b +-\sqrt{b^2-4ac}/2a[/tex]

Answer:

x=5

Step-by-step explanation:

well first 2(2x-5) turns to 4x-10  because of distributive prperty

then simplify the other side 3x+x-2x to 4x-2x to 2x

then subtract 4x from both sides and you get -10= -2x

after divied -2x/-2 and -10/-5

and get x=5

then plug in 5 into x to make sure both sides are equal

and they equal 10=10

Answer:

4

Step-by-step explanation:

12/5=2.4

56/5=11.2

so the even integers between them are

4,6,8, and 10

4 inegers

There are four even integers number that lies between 12/5 and 56/5. Then the numbers are 4, 6, 8, and 10.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The decimal number is the sum of a whole number and part of the fraction number. The fraction number is greater than zero but less than one.

If the integer number is divisible by 2, then the number will be known as even number.

The two integers are 12/5 and 56/5.

Convert the numbers into decimal form.

2.4 and 11.2

There are 4 even integers that are 4, 6, 8, and 10.

There are four even integers number that lies between 12/5 and 56/5. Then the numbers are 4, 6, 8, and 10.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

0.82

Step-by-step explanation:

Given:

A be the event that an Internet user posts photos taken by themselves.

B be the event that an Internet user posts photos taken by themselves.

P(A) = 0.47

P(A) = 0.28

P(A or B) = [tex]P(A\cup B)[/tex] = 0.52

To find:

Conditional probability that an Internet user posts photos given that they post videos.

OR

P(A/B) = ?

Solution:

Formula to be used to find the required conditional probability:

[tex]P(A/B) = \dfrac{P(A \cap B)}{P(B)}[/tex]

For this, [tex]P(A \cap B)[/tex] is required.

Formula

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

[tex]0.52=0.47+0.28-P(A\cap B)\\\Rightarrow P(A\cap B)=0.23[/tex]

Now, the required conditional probability is:

[tex]P(A/B) = \dfrac{P(A \cap B)}{P(B)}\\\Rightarrow P(A/B) = \dfrac{0.23}{0.28}\\\Rightarrow \bold{P(A/B)} = 0.82}[/tex]

So, the answer is 0.82.

Step-by-step explanation:

Given data:

You = 3/4

Andrea = 1/2

Bart = 4/5

Camden = 7/8

Drake = 3/7

Ethan = 2/3

1. Drake would not be getting into the gate first because he is far behind at 3/7.

2. each fraction represents how far each have travelled Or moved on the line. Just like how you have move 3/4 on the line which represents three quarter of the line, and Andrea has moved half way through the line at 1/2.

3. Camden 7/8 would get to the get first and Drake 3/7 would get in last.

Answer:

37

Step-by-step explanation:

Answer:

it's A

Step-by-step explanation:

on edg

Answer:

c onedge

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

A. The option that results in the smaller finance charge/interest is option 1

B. The option that will result in the smaller monthly payment is option 1

C. The interest they will earn in 4 years, I = $6,643.972

D. The time it will take for them to earn an interest of $500 by loaning $5,600 at 1.5% is approximately 5.95 years

Step-by-step explanation:

A. The simple interest, I, formula is given as follows;

[tex]I = \dfrac{P \times R \times T }{100}[/tex]

Where;

P = The principal

R = The rate

T =The time given for the loan

For Option 1 the first option, we have;

Down payment = 0.2 × $5600.00 = $1,120.00

Principal = $5600.00 - $1,120.00 = $4,480.00

[tex]\therefore I = \dfrac{\$ 4480\times 5 \times 3 }{100} = \$672[/tex]

For Option 2. the second option, we have;

P = $5600.00

[tex]\therefore I = \dfrac{\$ 5600 \times 5.25 \times 3 }{100} = \$1176[/tex]

The option that results in the smaller finance charge is option 1

B. For option 1, the total amount = Principal + Interest

∴ The total amount remaining = $4480 + $672 = $5,152

The monthly payment = A/N

Where;

A = The total amount yet to be paid out of the loan = $5,152

N = The number of time periods = 3 × 12 = 36 months

The monthly payment = $5,152/36 = [tex]\$ 143.\overline{111}[/tex]

For option 2, the total amount = Principal + Interest

∴ The total amount remaining = $5,600 + $1176 = $6776

The monthly payment = A/N

Where;

A = The total amount yet to be paid out of the loan = $6,776

N = The number of time periods = 3 × 12 = 36 months

The monthly payment = $6,776/36 = [tex]\$ 188.\overline{222}[/tex]

Therefore, the option that will result in the smaller monthly payment is option 1

C. For a compound interest on a principal of $5,600 invested for 4 years in a savings account that gives an interest rate 21.6% per annum, we have;

[tex]A = P \times \left(1 + \dfrac{r}{n} \right)^{(n\times t)}[/tex]

We have, using the annual rate, rather than calculating for the monthly rate;

[tex]A = 5600 \times \left(1 + 0.216 \right)^{4} \approx 12243.972[/tex]

Therefore, the amount they will have in 4 years ≈ $ 12,243.972

The interest they will earn in 4 years, I = A - P ≈ $ 12,243.972 - $5,600 = $6,643.972

The interest they will earn in 4 years, I = $6,643.972

D. To earn an interest of $500 at an interest rate of 1.5%, we have;

[tex]500 = \dfrac{5600 \times 1.5 \times T}{100} = 84 \times T[/tex]

From which we have;

[tex]T = \dfrac{500}{84} = \dfrac{125}{21} = 5\frac{20}{21} \approx 5.95[/tex]

Therefore, the time it will take for them to earn an interest of $500 by loaning $5,600 at 1.5% is approximately 5.95 years.

Answer:

34.556

Step-by-step explanation:

Hope this helps!