One-fourth of a number decreased by 12 is 6. Find the number.​

Answer: x= 19/21.

Step-by-step explanation:

We can expand the expression to:

28x - 8x^2 - 35 + 10x -4x + 8x^2 - 4 + 8x = -1

We can then cancel the - 8x^2 and the + 8x^2 and simplify further by adding like terms:

38x - 35 + 4x -4 = -1 --> 42x - 39 = -1

We can then add 39 on both sides:

42x = 38

We can then divide both sides by the GCF (greatest common factor), 2:

21x = 19

We divide both sides by 21:

x = 19/21

Answer:

90

Step by step explanation:

5(3y - z) - x = 0

or, 5(3×8 - 6) = x

or, 5(24 - 6) = x

or, 5×18 = x

or, x = 90

Answer:

Step-by-step explanation:

Given expression:

Evaluating the value of this expression if y = 8, z = 6, x = 2:

A general linear equation is given by:

[tex]y = a*x + b[/tex]

Where a is the slope and b is the y-intercept.

Here we will find that the linear equation that represents the situation is

[tex]y = 0.033*x + 1.269[/tex]

And we can expect that the median salary in 2048 is $2.853 million

If the line passes through the points (x₁, y₁) and (x₂, y₂) then the slope can be written as:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Here we know that:

in 2007 (x = 7) the median player salary was y = $1.5 million

in 2013 (x = 13) the median player salary was y = $1.7 million.

Then we have two points that we can write as:

(7, 1.5)

(13, 1.7)

Note that the y-value is in millions.

Then the slope of the linear equation will be:

[tex]a = \frac{1.7 - 1.5}{13 - 7} = 0.033[/tex]

So the linear equation is something like:

[tex]y = 0.033*x + b[/tex]

To find the value of b, remember the point (7, 1.5), this means that when we have x = 7, we also have y = 1.5, then we can replace these in the above equation:

[tex]1.5 = 0.033*7 + b\\\\1.5 - 0.033*7 = b = 1.269[/tex]

Then the linear equation is:

[tex]y = 0.033*x + 1.269[/tex]

b) Now we want to predict the median salary in 2048. For 2048 the x-value is x = 48

So we just need to evaluate this in the linear equation:

[tex]y = 0.033*48 + 1.269 = 2.853[/tex]

Then the median salary in 2048 will be $2.853 million

If you want to learn more, you can read:

https://brainly.com/question/1189779

Answer:

thequantity in column b is greater

Step-by-step explanation:

7a+b=33......(1)

3a-b=7.........(2)

(1)+(2)

7a+b+3a-b=33+7

10a+b-b=40

10a=40

a=4

in equation (1)

7*4+b=33

28+b=33

b=33-28

b=5

b>a

A function in mathematics is a relation between two sets such that each element of the first set is matched to exactly one of the second set element

The correct option for the maximum velocity of the object is the option;

13 cm/s

The reason for the selection is as follows:

The known parameters of the motion of the vehicle are:

The type motion of the vehicle = Repetitive back and forth

The path of the motion of the object = Along a straight line

The function that gives the velocity in centimeters per second (cm/s) is given as follows;

[tex]v(t) = \mathbf{13 \cdot sin \left(\dfrac{\pi}{45} \cdot t \right)}[/tex]

Where;

t = The time in seconds (a set of the input variables of the function)

v(t) = The velocity of the object (the output variables of the function)

The velocity of the object, v(t), depends (is given by) on the time t, therefore;

The maximum velocity is given at a particular value of t, which together with [tex]\dfrac{\pi}{45}[/tex] is operated by the sine function

The maximum output value of the sine function = 1, therefore;

[tex]\mathbf{Maximum \ value \ of \ sin \left(\dfrac{\pi}{45} \cdot t \right)_{max}} = 1[/tex]

[tex]The \ maximum \ velocity \ v(t)_{max}} = 13 \times sin \left(\dfrac{\pi}{45} \cdot t \right)_{max} = 13 \times 1 = \mathbf{ 13}[/tex]

The units of the of the function is cm/s

Therefore, the maximum velocity of the object is 13 cm/s

Learn more about functions here:

https://brainly.com/question/23999020

Answer: B. 13 cm/s

Step-by-step explanation:

Answer:

3,594

Step-by-step explanation:

It is asking *than* which means subtraction. so simply subtract and you get the answer

not hard!

Answer:

31/4

= 7.75

So Mark has to average more than 7.75 homeruns per week.

Step-by-step explanation:

Mark me as brainliest.

Answer:

give brainliest please I need it to level up

Step-by-step explanation:

divide the value in centimeters by 100 because 1 meter equals 100 centimeters.

So, 89.9 centimeters = 89.9÷ 100 = 0.899 meter.

Answer:

5(2x + 8) = –33 + 53

10x + 40 = –33+53

10x= –33+53–40

10x = –20

x = –20/ 10

x = – 2

I hope I helped you^_^

a. x + 13 = 0

x = -13

x-7= 0

x= 7

b. 2x +3 = 0

2x = -3

x= -3/2 or -1.5

3x -7 = 0

3x = 7

x = 7/3

c. x = 0

or x = 3

these you have to change it into that form first

d. x= 5

or x = 0

e. x= 7

or x = -5

f. x = 1/3 or -5

Hi ;-)

[tex]-u+114=262\\\\-u=262-114\\\\-u=148 \ \ /:(-1)\\\\\huge\boxed{u=-148}[/tex]

Answer:

[tex] - u + 114 = 262 \\ u = 114 - 262 \\ u = - 148 \\ thank \: you[/tex]

Answer

7, 1

Step-by-step explanation:

do math

Answer:

0.065km

Step-by-step explanation:

1:1000 in cm

so in km its

cm:km

1:0.01

6.5:X

so its 0.065 km

hope it helps and correct

keep loving maths

Answer:

The last one

Step-by-step explanation:

0.3333..., 30%, 3/10 are parts.

The last one ( 3 circles) are 3 wholes.

(whole numbers)

I hope this helped:)...

:-)

Hey there! I'm happy to help!

30% is the same thing as 0.3, which is 30% of 1.

0.3 is what you multiply numbers if you want to see what 30% of that number is as 0.3 is 30% of 1, the whole number.

3/10 is the same value as 30% because 3 divided by 10 is equal to 0.3, which is 30%.

The dots in the boxes are also the same thing as 3/10. There are 10 boxes, and 3 out of the 10 have dots, which is 3/10 and 30%.

The one that does not belong is 0.333333...... This is equivalent to 1/3, which is greater than 30%, 0.3, and 3/10.

Have a wonderful day and keep on learning! :D

Answer: The correct answer is C

Step-by-step explanation:The graph is horizontally stretched by a factor of 1/5 because you are literally multiplying x by 1/5. So, your answer is C. Hope it makes sense. mark me brainlest

#1

[tex]\\ \sf\Rrightarrow -2x=-3x+14[/tex]

[tex]\\ \sf\Rrightarrow -2x+3x=14[/tex]

[tex]\\ \sf\Rrightarrow x=14[/tex]

#2

[tex]\\ \sf\Rrightarrow x^2-3y+12[/tex]

[tex]\\ \sf\Rrightarrow 5^2-3(5)+12[/tex]

[tex]\\ \sf\Rrightarrow 25-15+12[/tex]

[tex]\\ \sf\Rrightarrow 10+12[/tex]

[tex]\\ \sf\Rrightarrow 22[/tex]

Answer:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

infinite number of solutions

Step-by-step explanation:

-12x - 2y = -4.

add 12x on both sides

-2y = 12x -4.

divide by -2

y = -6x + 2

Answer: D. Infinite number of solutions.

Step-by-step explanation: On Edge!

Hi there!  

»»————-　★　————-««

I believe your answer is:  

15cm²

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Area of a rectangle is:}}\\\\A = l * w\\----------------\\\rightarrow L = 5; w = 3\\\\\rightarrow A = 5 * 3\\\\\rightarrow A = \boxed{15cm^2}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

no solution

Step-by-step explanation:

14a – (2a + 9) = (12a - 18)

Distribute the minus sign

14a – 2a - 9 = (12a - 18)

12a -9 = 12a -18

Subtract 12a from each side

12a -9-12a = 12a-18-12a

-9 = -18

This is not a true statement so there is no solution

Answer:

[tex] - 9 \sqrt{48} - 8 \sqrt{12} \\ = - 9 \times 4 \sqrt{3} - 8 \times 2 \sqrt{3} \\ = - 36 \sqrt{3} - 16 \sqrt{3} \\ = \sqrt{3} ( - 36 - 16) \\ = \sqrt{3} \times - 52 \\ = - 52 \sqrt{3} \\ thank \: you[/tex]

Answer:

1 1/4 =c

Step-by-step explanation:

4 1/6 = 3 1/3c

Change the mixed numbers to improper numbers

4 1/6 = ( 6*4+1)/6 =25/6

3 1/3 = ( 3*3+1)/3 = 10/3

25/6 = 10/3c

Multiply each side by 3/10

25/6 * 3/10 = 10/3c * 3/10

3/6 * 25/10 = c

1/2 * 5/2 =c

5/4 =c

Change back to a mixed number

1 1/4 =c

Answer:

The sum of 5 numbers with an average of 5 more than 5 is 50

Step-by-step explanation:

Let the first five letters of the alphabet be equal to the 5 numbers being summed.

Let the average be represented by the following equation:

[tex]\frac{a + b + c + d + e}{5} = 10[/tex]

To find the sum, we should get rid of the denominator. To do that we multiply 5 on both sides

[tex]\frac{a + b + c + d + e}{5} (5) = 10(5)\\a + b + c + d + e = 50[/tex]

Therefore, we see to it that the sum of the 5 numbers is 50.

Answer:

$159

Step-by-step explanation:

$348-189

=$159

Your answer is in the attachment .

Note: I have only done upto q.n d because you haven't clearly uploaded question of no. e. stay blessed !!!!!!

Answer:

Radius = 16

Step-by-step explanation:

Area = πr²

803.84 = 3.14(r²)

256 = r²

√256 = 16

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

y = 2(x + 3)² - 4

Step-by-step explanation:

y = 2x² + 1 2x + 14

Move the constant  (14) to the left side

y - 14 = 2x² + 12x

Now factor out 'a' , the coefficient  of  x² term

y - 14= 2(x² + 6x)

Divide the coefficient  of 'x' by 2 ⇒ 6/2 = 3

Find the square of '3' and add it to x² + 6x   ⇒ x² + 6x + 9

Multiply the square of 3 and add it to y - 14; 9*2 = 18

y- 14  = 2(x² + 6x + 9)

y  - 14 + 18 = 2(x² + 6x + 9)

y + 4 = 2(x² + 6x +9)

y + 4 = 2(x + 3)²

y = 2(x + 3)² - 4

Vertex ( -3 , -4)

Answer:

25

Step-by-step explanation:

let x = 36

y =  9

x2 = 100

y2 = y2

y : x :: y2 : x2

We know,

Product of means = Product of extremes

That is,

y(x2) = x(y2)

Substituting the values,

9(100) = 36(y2)

=> 36(y2) = 900

=> y2 = 900/36

=> y2 = 25

so when x = 100, y =25

2h – 2h = 28-6 —> 0 = 22

It cannot be solved because 2h -2h equals zero, so there is no h .