Equation : -2 (4g - 3) = 30

Answers

Answer 1

Answer:

g = -3

Step-by-step explanation:

-2 (4g - 3) = 30

-8g + 6 = 30

-8g = 24

g = -3

Answer 2

Answer:

[tex] \boxed{g = -3} [/tex]

Step-by-step explanation:

[First, distribute the factored term on the left side of the equation (distribution property of equality)]

-2 ( 4g – 3 ) = 30 →

-2 ( 4g ) – -2 ( 3 ) = 30 →

-8g + 6 = 30 →

[Next, subtract 6 from both sides (subtraction property of equality)]

-8g + 6 – 6 = 30 – 6 →

-8g = 24 →

[Finally, divide both sides by -8 to cancel out the coefficient of -8 in -8g and reduce it to solve for g (division property of equality)]

-8g / -8 = 24 / -8 →

g = -3


Related Questions

what is cos 0 when sin 0 = 2/5

Answers

Answer:

cos 0 = 1

.................

is -6.146 contued a rational or irrational

explian pls

Answers

Step-by-step explanation:

cannot be written as a fraction so its irrational

What is the solution to this system of equations?

( __ , __ )

Answers

Answer:

x = 5

y = 3

(5,3)

Step-by-step explanation:

use substitution...

4x -3(2x-7) = 11

-2x + 21 = 11

x = 5

y = 3

A car travels 800 kilometers in 10 hours. What is it's average speed? How far will it go in 14 hours?

Answers

Answer:

10

Step-by-step explanation:

Distance=800kmTime=10h

[tex]\\ \rm\longmapsto Speed=\dfrac{Distance}{Time}[/tex]

[tex]\\ \rm\longmapsto Speed=\dfrac{800}{10}[/tex]

[tex]\\ \rm\longmapsto Speed=80km/h[/tex]

Time=14h

[tex]\\ \rm\longmapsto Distance=Speed(Time)[/tex]

[tex]\\ \rm\longmapsto Distance=80(14)[/tex]

[tex]\\ \rm\longmapsto Distance=1120km[/tex]

simplify 6^2n+1x9^nx4^2n÷18^nx2^nx12^2n please help ..Thank you​

Answers

Answer:

[tex]2^{-4 n}\times3^{-2 n} + 3^{-2 n}\times4^{-n}[/tex]

Step-by-step explanation:

Assuming you meant [tex]\frac{6^{2n}+1*9^n*4^{2n}}{18^n*2^n*12^{2n}}[/tex], the answer is [tex]2^{-4 n}\times3^{-2 n} + 3^{-2 n}\times4^{-n}[/tex].

A manager of a clothing store always orders 2 small shirts and 3 large shirts for every 4 medium shirts ordered. The manager plans to order 24 medium shirts.How many small shirts and large shirts will the manager order?

Answers

He orders 12 small shirts, 18 large shirts

Answer:

Small shirts = 12 shirts

Large shirts = 18 shirts

Step-by-step explanation:

Given information

There are plans for ordering 24 medium shirts.

For every 4 medium shirts, there would always be 2 small shirts and 3 large shirts.

STEP ONE: Find how many groups of [4 medium shirts] are ordered.

24 / 4 = 6

There should be 6 groups of 4-medium-shirts orders.

STEP TWO: Find the number of small shirts.

6 × 2 = 12 shirts

STEP THREE: Find the number of large shirts.

6 × 3 = 18 shirts

Hope this helps!! :)

Please let me know if you have any questions or need further explanations

Find an equation of the line L that contains the points (0,0) and (5,3)

Y =

Answers

Answer:

y = (3/5)*x

Step-by-step explanation:

First, we can use the slope-intercept form of a line, or y=mx+b

To find the slope, m, we can find

(y₂-y₁)/(x₂-x₁). Denoting (0,0) as (x₁,y₁) and (5,3) as (x₂, y₂) (it is perfectly okay to have (0,0) as (x₂, y₂) and (5,3) as (x₁,y₁) as well), we have

(y₂-y₁)/(x₂-x₁) = (3-0)/(5-0) = 3/5

Therefore, our equation is

y = (3/5)x + b

To solve for b, we can plug any value of (x,y) from the line, e.g. (0,0), and solve from there, resulting in

y = mx + b

0 = (3/5)*0 + b

0 = b

Our equation is therefore

y = (3/5)*x + 0

= (3/5)*x

(a) Find the common difference of an A.P. whose first term is 5 and the number of terms is 30 and sum 1455.
(b) Find the common difference of an A.P. whose first term is 9, the number of terms is 7, and the sum is 0.

it's a optional mathematics Questions please solve him​

Answers

Sum = n/2[2a + (n - 1)d] where a = first term, n = number of terms and d = common difference

(a) 30/2(2 x 5 + (30 - 1) x d) = 1455
10 + 29d = 1455 / 15
29d = 97 - 10
d = 87 / 29 = 3

(b) 7/2(2 x 9 + (7 - 1)d) = 0
18 + 6d = 0
6d = -18
d = -3

Someone plz help giving brainliest

Answers

Answer:

Its C.

Step-by-step explanation:

I had this and its C. trust me

Can someone help me pls ASAP

Answers

It’s 1+5+11+3= 20 and that’s the answer of the number

giải bất phương trình
a)2x+1/2x+2<1
b)1/x+4<1/x-2

Answers

Answer:

[tex]a)x < - \frac{2}{5} [/tex]

[tex]b)4 < - 2[/tex]

Step-by-step explanation:

[tex]a)2x + \frac{1}{2} x + 2 < 1[/tex]

[tex] = 4x + x + 4 < 2[/tex]

[tex] = 5x + 4 < 2[/tex]

[tex] = 5x < 2 - 4[/tex]

[tex] = 5x < - 2[/tex]

[tex] = x < - \frac{2}{5} [/tex]

[tex] = x < - 0.4 \times ∈( - \infty . - \frac{2}{5} )[/tex]

[tex]b) \frac{1}{x} + 4 < \frac{1}{x} - 2[/tex]

[tex] = \frac{1}{x} + 4 < \frac{1}{x} - 2.x≠0[/tex]

[tex] = 4 < - 2[/tex]

= X

The temperature reading that is halfway between −10 degrees and 40 degrees is ___ degrees.
If the temperature was −3 degrees in the morning and 8 degrees in the afternoon, the change in temperature during that time is ____ degrees.
If the temperature has been changing at a rate of −1.5 degrees each hour, and it is currently 5 degrees, the temperature 4 hours ago was ___ degrees.
If the temperature continues to change at this rate of −1.5 per hour, and it is currently 5 degrees, the temperature in 4 hours will be ____ degrees.

Answers

Answer:

30, +11, 11, -1

Step-by-step explanation:

-10 + 30 = 10, 40 - 30= 10

-3 + 11 = 8

5 + (1.5 x 4) = 11

5 - (1.5 x 4) = -1

how many numbers are there between 256 and 789 that are divisible by 7​

Answers

Answer:

76

Step-by-step explanation:

How many numbers are between 256 and 789 are divisible by 7 ?

Generalizing, we could look for a procedure that, given two integers A and B, with B>A , and a module M, tells us how many integers x, with A<=x<=B , are divisible by M.

a) let n1 be the lowest integer >=A such that n1 is divisible by M.

If n1>B , than not even n1 has the required properties and the output of the procedure is 0; otherwise, go to the next step.

n1 will be the first number of the sequence of numbers divisible by M.

b) let n2 be the highest integer <=B such that n2 is divisible by M.

Notice that it’s not possibile that n2<A , as you alway have the possibility n2=n1 .

n2 w

A simple way to think about this is by calculating the largest multiple of 7 less than 256 (let’s call it y) and the smallest multiple of 7 greater than 789 (let’s call it x). The answer is then all the multiples of 7 in between these two numbers, which can be represented by:

x−y7−1

Let’s do it:

252 is the largest number less than 256 divisible by 7. y = 252

791 is the smallest number greater than 789 that’s divisible by 7.

Thus, our answer is 113-36–1 = 76.

Note: we subtract 1 or else we would include the number on the top end of the range (in this case, 791).

Hope it helped you!!

Pls mark me the brainliest :)

Write down the formula of calculating the average of the individual data

Answers

When calculating the average of individual data, you set of all observations of a given characteristic, usually in ascending order. The arithmetic mean for this series is calculated by summing the values of the observations and dividing the result by the number of observations.
Hope this helps, please give me brainliest
a1+an/2 is the formula for calculating the average

The length of a rectangle is 11cm more than the width. The perimeter is 90cm. Find the length and width of the rectangle.

Answers

Answer:

Length=22.5cm, Breadth=11.5cm

Step-by-step explanation:

Let length be l and width be w.

w+22=l

w+w+w+22+w+22=90

4w=90-22-22

    =46

w=46 divided by 4

  =11.5

l=11.5+11

=22.5

Hence,

Length of rectangle=22.5cm

Breadth of rectangle=11.5cm

You start at (0, 2). You move right 2 units and down 4 units. Where do you end?

Answers

Answer:

(2, -2)

Step-by-step explanation:

Translation left or right adds to x-coordinate, translation up or down adds to y-coordinate.

Given coordinate (0, 2) and translation is 2 units right and 4 units down:

x = 0 + 2 = 2y = 2 - 4 = -2

The end points is (2, -2)

We have to move x co ordinates 2 more and y coordinate 4less

Do it

[tex]\\ \sf\longmapsto (0,2)[/tex]

[tex]\\ \sf\longmapsto (0+2,2+(-4))[/tex]

[tex]\\ \sf\longmapsto (2,2-4)[/tex]

[tex]\\ \sf\longmapsto (2,-2)[/tex]

We will end at (2,-2)

1/9 x² + 2/3 xy +y² ∴

Answers

Answer:

Here is your ans. hope this helps you.

Given an isosceles right triangle that is oriented so that it is sitting on its hypotenuse, and the length of the hypotenuse is 12 mm. What is the height (from the hypotenuse to the vertex of the two legs) of this triangle as it sits

Answers

Answer:

5,12,13

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Please help!
Please do not just give the answer, also explain please because I need to know how to do this.

Find the value of X ​

Answers

Answer:

x = 6.5

Step-by-step explanation:

In order to solve this problem, you need to use trigonometry (sin, cosine, tangent).  

Sin = opposite/hypotenuse

Cosine = adjacent/hypotenuse

Tangent = opposite/adjacent

We need to use tangent in this case because 10 is the opposite side from the 57° angle, and x is right next to it, making it adjacent.  So, our equation would look like this:

tan (57)° = 10/x

Multiply both sides by x

x (tan (57)°) = 10

Divide both sides by tan (57)°

10 / tan (57)° = 6.49408 = 6.5

Step-by-step explanation:

We are given two angles measures and one side. Notice the given angle and the side that is opposite to that given angle is given. We need to find side x. But can we also find the angle opposite of the side we are trying to find. Yes we can

Remeber that triangles interior angles add up to 180.

Remeber that triangles interior angles add up to 180.One angle measure 90 and the other measure is 57 so

[tex]90 + 57 + x = 180[/tex]

[tex]x = 33[/tex]

So the angle opposite of the side we are trying to find is 33.

Since we know two angles and two sides that are opposite of those two angles respectively, we can use what is called Law of Sines

[tex] \frac{b}{ \sin(b) } = \frac{c}{ \sin(c) } [/tex]

where the numerator are the side measures, and the denominator are the angle measures.

Plug in the respectively values. Angle 57 is opposite of 10 and Angle 33 is opposite of x.

[tex] \frac{10}{ \sin(57) } = \frac{x}{ \sin(33) } [/tex]

Multiply both sides by sin 33 to isolate x.

We get

[tex]x = 6.494[/tex]

Round if needed

In other words, apply law of sines when you have two angles and two sides that are opposite of those angles respectively.

The temperature at 12:00 p.m. was 8°C. At 7:00 p.m., the temperature was -6°C. What was the change in temperature (in degrees Celsius)?
�� 6-degree increase
�� 14-degree increase
�� 6-degree decrease
�� 14-degree decrease

Answers

Answer: 14-degree decrease

Step-by-step explanation:

because it is getting colder and we know this because anytime temperature goes from positive to negative it becomes mad cold.

Anyways subtracting 14 from our initial temp at 8 degrees celsius brings us to a brisk -6 celsius

Write an equation in point-slope form of the line that passes through the given point and
has the given slope: (3,4), m=1/3

Answers

Answer:

y - 4 = 1/3 (x - 3)

Step-by-step explanation:

2. Which number line is correct? Why are the others incorrect? ​

Answers

Answer:

the middle one is correct

Step-by-step explanation:

the first one is incorrect because the way negative numbers are ordered is incorrect it should be "-3, -2, -1"

the middle one is correct because the pattern is consistent and the order of the numbers are correct

the third one is incorrect because the pattern doesn't match "-15" isn't counting by twos 15 isn't an even number

hope I helped ❤

Answer: The 2nd number line is correct

Explanation:

The first number line is incorrect because the -1, -2, -3 should be reversed to get -3, -2, -1. It's reversed because the negatives are a mirror image of the positive counterpart.

The second number line is correct. Each number shown is separated with a gap size of 20. This gap size stays the same throughout the number line.

The third number line is incorrect. The gap from -15 to -12 is 3 units, while the gap from -12 to -10 is 2 units. We see that the gap size isn't the same through the entire number line.

So to summarize: the gap size must be the same and the numbers must be written in the correct order.

write three hundred and ninety six million two hundred and forty two thousand and two as a numeral

Answers

Answer:

Below.

Step-by-step explanation:

396,242,002

Simplify:

6 - 2 =
14 14

Answers

Answer:

6-2=1414

Step-by-step explanation:

6-2=1414

now

sub 6 from 2

4=1414

now divide 1414 by 4

1414÷4

[tex]1414 \div 4[/tex]

you will get the answer

Step-by-step explanation:

[tex] \frac{6}{14} - \frac{2}{14} \\ have \: same \: denomenator \: so \: we \\ \: can \: substract \: it \: directly \\ \frac{6 - 2}{14} \\ = \frac{4}{14} = \frac{2}{7} \\ thank \: you[/tex]

The largest moth is the Atlas moth. The Atlas moth is
11.8 inches long Which of the following is the lenghth
of the Atlas moth written as a mixed number

Answers

11.8 to a mixed number is 11 8/10 or 11 4/5.

Solve the compound inequality 8x > –32 or 6x ≤ –48.

Answers

Answer:

x>-4 x≤-8

Step-by-step explanation:

Hello! I’ll take any help !!

Answers

Answer:

√73

Step-by-step explanation:

a^2+b^2=c^2

8^2+3^2=c^2

64+9=c^2

√73 =√c^2

√73 =c

5. You make $10 per hour and worked 25 hours last week. They took out 5.65% for
income taxes and 7.65% for FICA. How much is your net pay?

Answers

So the total amount before income taxes and FICA is 250$.

First, you find the amount after income tax which you can do by....

250$- 250$(5.65%)= 235.875= 235.87

or

250$(100%-5.65%)= 250$(94.35%)= 235.875=235.87$


Then apply the FICA
235.875$(100%-7.65%)= 217.83$

Net pay: 217.83$


Click on all of the numbers that make the comparison true.
8.32 >
A 8.058
B. 8.492
C. 8.41
D. 8.28
E. 8.1
F. 8.3

Answers

Answer:

A, D, E, F

Step-by-step explanation:

0.32 is bigger than 0.058; smaller than 0.492 and 0.41, but also bigger than 0.28, 0.10 and 0.30

Answer:

Step-by-step explanation:

35

Is -√15 irrational or rational

Answers

Answer: it is irrational.

Explanation:

Square root that are not perfect square are considered irrational as sqrt(15) isn’t a perfect square thus it’s irrational.
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