Mathematics High School

5x - 14 = 3(3x + 6) + 5

Answers

Answer 1

Answer:

x= -9.25

Step-by-step explanation:

5x - 14 = 3(3x + 6) + 5

5x - 14 = 9x + 18 + 5.......distribute

-4x = 37.............move values and combine like terms

x= -9.25.............divide both sides by -4

Related Questions

if pepsi Bottles 8-pack or cans 12-pack 3 for $12.88 how much for 1 pack?

explain

Answers

Answer: $4.29?

Step-by-step explanation:

3 pack /3 = $12.88 /3

1 pack = 4 22/75 or approx $4.29

What is the equation of the line on the graph? Write your answer in slope-intercept form. (y = mx + b)

Don't forget to simply if you can!

Answers

Answer:

y= ⅔x -2

Step-by-step explanation:

slope-intercept form

y= mx +b, where m is the slope and b is the y-intercept.

Two given coordinates: (-3, -4) and (6, 2)

[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]

Slope

[tex] = \frac{2 - ( - 4)}{6 - ( - 3)} [/tex]

[tex] = \frac{2 + 4}{6 + 3} [/tex]

[tex] = \frac{6}{9} [/tex]

[tex] = \frac{2}{3} [/tex]

Substitute m= ⅔ into the equation:

y= ⅔x +b

From the graph, the y- intercept is -2 since the line cuts through the x-axis at (0, -2).

Alternatively, we can also substitute a pair of coordinates into the equation to find the value of b.

When x= 6, y= 2,

[tex]2 = \frac{2}{3} (6) + b[/tex]

2= 4 +b

b= 2 -4

b= -2

Thus the equation of the line is y= ⅔x -2.

5
8. The frequency distribution below summarizes employee years of service for Alpha Corporation. Determine the width of each class.
Years of service Frequency
1-5
6-10
20
11-15
25
16-20
10
21-25
5
26-30

Answers

The required class widths are 3, 8, 13, 18, 23 and 28

Given the frequency distribution that summarizes employee years of service for Alpha Corporation as shown below:

[tex]1-5 \ | \ 6-10\ | 11-15 \ | \ 16-20 \ | 21-25 \ | 26 - 30\ \\ 0\ \ \ \ \ \ \ \ 20 \ \ \ \ \ \ \ \ 25 \ \ \ \ \ \ \ \ \ \ 10 \ \ \ \ \ \ \ \ \ \ 5[/tex]

The width of each class is calculated by taking the midpoints of each of the class intervals as shown:

For the class interval 1 - 5

width = 1+5/2 = 3

For the class interval 1 - 5

width = 6+10/2 = 8

For the class interval 11 - 15

width = 11+15/2 = 13

For the class interval 16 - 20

width = 16+20/2 = 18

For the class interval 21 - 25

width = 21+25/2 = 23

For the class interval 26 - 30

width = 26+30/2 = 28

Hence the required class widths are 3, 8, 13, 18, 23 and 28

Learn more on class width here: https://brainly.com/question/24326240

A fish swims 6 feet directly above a scuba diver. The fish suddenly dives to double its depth under the surface of the ocean. The fish dives to a depth of −42 feet. What is the position of the scuba diver relative to the surface of the ocean? Choose from the drop-down menu to correctly complete the statement.

Answers

Answer:

The scuba diver is 27 feet below sea level.

Hope this will assist you.

The position of the scuba diver relative to the surface of the ocean is 27 feet under the surface.

Since a fish swims 6 feet directly above a scuba diver, and the fish suddenly dives to double its depth under the surface of the ocean, and the fish dives to a depth of −42 feet, to determine what is the position of the scuba diver relative to the surface of the ocean, the following calculation must be performed:

42/2 + 6 = X 21 + 6 = X 27 = X

Therefore, the position of the scuba diver relative to the surface of the ocean is 27 feet under the surface.

Learn more in https://brainly.com/question/14746652

Solve for x

………………..

Answers

move constant to the right

calculate

divide both sides

if you add -10 to 4 times the mystery number you get 0 what is the mystery number?

Answers

Answer:

2.5

Step-by-step explanation:

2.5x4=10

10-10=0

plz help asap
Find the length X

Answers

Answer:

x=8 that's the answer for the question

Which number is a zero of the given function?
g(x) = (x^2– 36) (x + 7)

Answers

You can factor it more
Remember: (a^2 - b^2) = (a-b)(a+b)
(x^2 - 36) = (x - 6)(x + 6)
Now plug back to equation

(x - 6)(x + 6)(x + 7) = 0
x - 6 = 0, x = 6
x + 6 = 0, x = -6
x + 7 = 0, x = -7

Solution: x = 6, -6, -7

The zeros of the function g(x) = (x² - 36)(x + 7) are x = 6 and x = -6.

To find the zeros of the function g(x) = (x² - 36)(x + 7), we need to identify the values of x that make the entire function equal to zero.

For a function to be equal to zero, at least one of its factors must be zero. Therefore, we set each factor to zero and solve for x:

Setting the first factor, x² - 36, to zero:

x² - 36 = 0

Now, add 36 to both sides of the equation:

x² = 36

Next, take the square root of both sides:

x = ±√36

x = ±6

Setting the second factor, x + 7, to zero:

x + 7 = 0

Now, subtract 7 from both sides of the equation:

x = -7

The zeros of the function g(x) = (x² - 36)(x + 7) are x = 6 and x = -6.

Learn more about zeros of the function from the link given below.

https://brainly.com/question/31654189

#SPJ2

Which graph represents x ≥ 2?

Answers

Answer:

...

Step-by-step explanation:

Hey please help thanks

Answers

Step-by-step explanation:

a=b as it is alternative angles

so 6x+5=4x+45

6x-4x =45-5

2x=40

x=40 /2

x=20

A Science book has 428 pages, of which 47% are on biology, 28% on Chemistry and the remainder on Physics. How many pages on Physics are there?

Answers

Answer:

107 pages.

Step-by-step explanation:

100 - 47 - 28 = 25% are on Physics.

Number of pages on physics = 0.25 * 428

= 107.

Answer:

There are 107 pages devoted to physics.

Step-by-step explanation:

The number of pages on bio is 0.47(428) = 201 (rounded up from 201.16);

the number of pages for on chem is 0.28(428) = 120 (rounded up from 119.84), and so the total number of pages devoted to bio and chem is

201 + 120, or 321.

Subtracting this subtotal from the book's 428 pages yields 107.

There are 107 pages devoted to physics.

Someone please help me!

Answers

Answer:

$343.75

Step-by-step explanation:

$5.50 × 125 = $687.50 ÷ 2 = $343.75

Answer:

$343.75

Step-by-step explanation:

Multiply 5.50 by 125 hours to get the amount of money she has earned. Then since she saved half of it divide that amount which is $687.50 by 2 to get $343.75

Find the sum: -1 + 4 + 9 + ... + 64

Answers

Answer:

= 78

Step-by-step explanation:

Step One:

1 + 4= 5

Step Two:

5+9= 14

Step Three:

14+64= 78

= 78

Hope it helps :)

Answer: 441

Step-by-step explanation:

The formula for an arithmetic sum is

[tex]$\frac{\text{number of terms}}2 \cdot (\text{first term + last term})$[/tex]

We know that the [tex]\text{first term + last term} = -1 + 64 = 63[/tex]. So now all we need is the [tex]\text{number of terms}[/tex]. Well, if you draw each number onto the number line, you get something like

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

-1 0 1 2 3 4 5 6 7 8 9 10 11 ...

You can see that your numbers are spaced 5 apart, and they go from -1 all the way up to 64. So what you're really asking is, "how many segments of five can I draw from -1 up to 64?" The length of the line from -1 to 64 is 65 (think about it), so the number of line segments is 65/5 = 13. However, we didn't count 64 itself, since there's no line segment past it! So really there are 14 terms in this sequence. Thus the total sum is

[tex]$\frac {14}2 \cdot (63) = \boxed{441}.$[/tex]

In figure BC = CA and ∠A = 40°. Then ∠ACD is...
a)40° b) 80° c) 120° d) 60°

Answers

Answer:

Step-by-step explanation:

The size of the exterior angle in a triangle is the sum of interior opposite angles. In this case, it's

Angle ACD=40+40=80° (Exterior angle=sum of int. opp. angles)

Answer:

b. 80°

Step-by-step explanation:

B is 40°

A triangle has 180°

40 + 40 + x = 180

80 + x = 180

x = 100

Since it's a supplementary angle...

180 - 100 = 80

Find a value c in the interval [0,3] such that f(c) is equal to the average value.

Answers

Answer:

1.5

Step-by-step explanation:

Numbers in the interval are 0, 1, 2 and 3

Average Value = (0+1+2+3)/4=1.5

The average value of the numbers in the interval {0,3} is 1.5.

What is an average?

Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.

Mean is defined as the ratio of the sum of the number of data sets to the total number of data.

Given that the value c is in the interval [0,3]. The interval is written {0,1,2,3}.

The average of the numbers is calculated as,

Average Value = (0+1+2+3)/4

Average Value =1.5

Therefore, the average value of the numbers in the interval {0,3} is 1.5

To know more about an average follow

https://brainly.com/question/20118982

#SPJ2

What is the volume?????

Answers

Volume is the amount of space a 3D shape takes up. You can work out the volume of a shape by multiplying height × width × depth.If the shape is made of cubic cm blocks, you can count the cubes to find the shape's volume.

9 (4x - 6) = 2(-3 - 2x)

Answers

[tex]9(4x-6) = 2(-3-2x)\\\\\implies 36x - 54 = -6-4x \\\\\implies 36x +4x = 54 -6 \\\\\implies 40x = 48\\\\\implies x = \dfrac{48}{40} = \dfrac{6}5[/tex]

Place numbers in bubbles so each row adds up to 100.
16,18,20,22,24,26,28,28,32,36

Answers

The numbers given can be placed in the bubbles in each row to sum up to 100 as shown in Figure 2 attached below. (See attachment).

The diagram (Figure 1) attached below shows the bubbles to be filled with the given numbers such that in each row, four of the numbers placed in the bubbles will add up to 100.

Hint:

Every row will have 4 numbers, 1 in each bubble which will give us 100.

The first row would be: 26 + 18 + 28 + 28 = 100The second row would be: 36 + 18 + 22 + 24 = 100

The rest of the arrangement is shown in the figure 2 attached below. (See attachment).

Learn more here:

https://brainly.com/question/7043752

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

the answer is:
a. $13.60

step by step explanation:
all you have to do is divide:

so 68/5 is 13.6

hope this helps

Answer:

Each friend will pay 13.60 dollars.

Step-by-step explanation:

68/5 is 13.6

Norachai was going to sell all of his stamp
collection to buy a video game. After
selling half of them he changed his mind.
He then bought seven more. How many did
he start with if he now has 25?

Answers

subtract by seven, multiply by 2: 25-7=18 x 2=36

solve the following equations
A) 2 (A + 5) = 16
b) 4 p - 2/3 = 7/3
c) 3y/2 + 8 = (-4)
pls pls pls pls pls pls answer steps

Answers

Answer:

A. 2(a+5) = 16

2a + 10 = 16

2a = 16-10

2a = 6

2a÷2 = 6÷2

a = 3

B. 4p-2/3 = 7/3

4p = 7/3 + 2/3

4p = 3

4p÷4 = 3÷4

p = 3/4

C. 3y/2 + 8 = -4

3y/2 = -4 - 8

3y/2 = -12

[ 3y/2 = -12 ] 2

3y = -24

3y ÷ 3 = -24 ÷ 3

y = -8

[tex] \: \: \: \: \: [/tex]

A.) a = 3

B.) p = ¾

C.) y = -8

hope it helps

refer to the attachment

[tex] \: \: \: \: \: \: \: \: [/tex]

given the numbers -100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6, which are rational numbers?

Answers

Answer:

-100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6

All the numbers

Step-by-step explanation:

A rational number is a number that can be expressed as in a fraction or decimal (m/n form)

All numbers above can be defined.

A rational number is a number that c\an be written in the form of p/q where q is not equal to zero.

The rational numbers are -100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6.

What is a rational number?

A rational number is a number that can be written in the form of p/q where q is not equal to zero.

We have,

-100, -14.5, -2, -2/3, 0, 19, 15, 20, 1/6

-100 = -100/1

It is in the form of p/q.