Mathematics Middle School

what is 6x+30=3x-42 whats the answer

Answers

Answer 1

subtract 3x from both sides
3x + 30 = -42

subtract 30 from both sides
3x = -72

divide both sides by 3
x = -24

Answer 2

Just subtract 30 from 6 = 24So x = -24. What I did is divide them both sides by 3.

Related Questions

What is the answer cause I have having trouble knowing if it was right

Answers

How to find each one: So first, if you have a fraction, (you probably want to simplify the ones you've put in by dividing both sides by the same number, for example, 45/100, both sides by 5, 9/20)

So if you have a fraction:

You can find the ratio by just putting the numerator on the left, n:, and the denominator on the right. n:d

For example, with 5/9, 5:9.

For decimal, you can just divide. For example, 4/5, 0.8.

Percent, just change the decimal to have a hundredths place, with 0.8, 0.80, and then just take those two digits, or 80%.

So basically, for ratio, you can do it if you have the fraction.

For the column fraction, if you know basic fractions, you can also convert from those, and also from the ratios.

For decimal, if you know percent or fraction, you should be able to find it.

Percent, fraction or decimal should work.

I'll do a row to explain, it's kind of confusing, sorry:

So if you have 9:20, you can convert that to the fraction, 9/20.

Then you can find the decimal, 9/20 = 0.45

Percent would therefore be 45%.

Hope this helped :)

Line:
1.) 25:100; 25/100; 25%
2.) 3:5; 3/5; 0.6
3.) 7/10; 0.7; 70%
4.) 11:12; 0.916; 92%
5.) 3:4; 75/100; 75%
6.) 4:5; 4/5; 0.8
7.) 8/13; 0.615384; 62%
8.) 19:20; 0.95; 95%
9.)9:20; 9/20; 0.45
10.) 4:5; 0.8; 80%
11.) 3:2; 3/2; 150%
12.) 9/20; 0.45; 45%
13.) 5:9; 0.5; 56%
14.) 2/3; 0.6; 67%
15.) 7:8; 0.875; 88%
16.) 2:3; 2/3; 67%

*Highlited # means Infinite

Hey, hope this helped! GOOD LUCK ;)

Mitchell travels from the US to Canada, where he exchanges 150 US dollars for Canadian dollars. He then spends 20 Canadian dollars, returns to the US, and exchanges the remaining money back to US dollars. How many US dollars does Mitchell have remaining?

Answers

Answer:

It's 130.66, D

Step-by-step explanation:

:)) yw

Answer:

C. 130.66

Step-by-step explanation:

I just took the assesment and i got it right

Can someone write an equation from these coordinates
(1,-9)
(2,-8)
(3,-5)
(4,0)

Answers

y = 3x - 14. use expression y = mx+b where m is slope (use formula for finding slope between any two coordinates) and b is the y intercept, which u can find by using y = mx+b as well and plugging in values

What Is the answer I am really struggling with fractions

Answers

9/5 or 1 & 4/5 is the answer

3 x 3/5 =
3/1 x 3/5 =
3x3/1x5=
9/5 or 1 4/5

Please create your own real-world scenario that requires the use of the distributive property.
Write the problem and show all the steps needed to find the answer.

Then include a description on how this problem uses the distributive property.

Please help me with this, thanks so much in advance!

Answers

My use of distributive is that you have 3 cows and 6 lambs then you have to kill them for meat. But the problem is you have to get twice the meat you usually get. So what do you do? You just cut the meat half the thickness you usually cut. It goes like this 2(3+6)= 18. First add the 3 and 6 together get 9 then multiply 9 by 2 and get 18.

Pre-Cal - Someone please help! (Image Attached)

Answers

Note that [tex]\displaystyle{ \sin30^{\circ}= \frac{1}{2} [/tex] and [tex]\displaystyle{ \cos30^{\circ}= \frac{ \sqrt{3}}{2} [/tex].

From the unit circle, we can check that [tex]\sin30^{\circ}[/tex] and [tex]\sin(-30)^{\circ}[/tex] have the same value, but opposite signs, that is:

[tex]\sin(-30)^{\circ}=-\sin(30)^{\circ}=-\frac{1}{2}[/tex].

Thus,
[tex]\displaystyle{ \cos(x-y)= \cos(-30^{\circ}-60^{\circ})=cos(-90^{\circ})[/tex].

Note that [tex]cos(-90^{\circ})[/tex] is the x-coordinate of the lowest point on the unit circle, that is (0, -1). Thus [tex]cos(-90^{\circ})=0[/tex]

Answer: 0

Laura family is going on vaction.they will drive 4,180 miles over the next two weeks.about how many miles will they drive on average each week?

Answers

If she can drive 4180 miles in two weeks, it would make sense that she would drive an average of half that distance in one week. Half of 4180 is 2090, so she averaged 2090 miles each week.

On average probably at least 2090 miles each week

Y-b=m(x-a) solve for a

Answers

y-b=mx-am
y-b-mx=am
(y-b-mx)/m=a

fred got a score of 84 on the test. write a division sentence using negative integers where the quotient represents the number of questions fred answered incorrectly

Answers

We are given that:
>perfect score- 100
>number of questions of the test- 25
>worth of each question- 4 points
>Fred's score- 84
Let us say that n- number of questions Fred answered wrong

The solution:
let us solve for n
>division sentence: (100 ÷ 4 ) - ( 84 ÷ 4 ) = n

(100 ÷ 4 ) - ( 84 ÷ 4 ) = n
25 - 21 = n
4= n

Therefore Fred answered 4 test questions incorrectly.

Final answer:

To create a division sentence expressing the number of incorrect answers as a negative integer, you would divide the total number of questions by -0.16. This implies that Fred answered 16% of the questions incorrectly.

Explanation:

To write a division sentence using negative integers where the quotient represents the number of questions Fred answered incorrectly, we need to first determine the total number of questions on the test. We can assume that a perfect score is 100%. If Fred scored an 84, that implies he got 84% of the questions correct. We do not know the total number of questions, so let's denote the total number as x.

Since Fred got 84 out of 100 percent, that means he answered 16% of the questions incorrectly. In terms of the total number of questions x, he answered 0.16x questions incorrectly. Since he answered these questions incorrectly, and incorrect answers are considered as losses or negatives, we can multiply the total number of questions x by -0.16 to find the number of questions he answered incorrectly. Therefore, the division sentence could be -x/(-0.16) = y, where y represents the number of questions Fred answered incorrectly.

Mariana graphs the function ƒ(x) = x3 − 4x2 − 3x + 18 and sees two zeros: −2 and 3. Since this is a polynomial of degree 3 and she only sees two zeros, she determines that the Fundamental Theorem of Algebra does not apply to this equation. Is Mariana correct? Why or why not?

Answers

Answer:

No, the root 3 has multiplicity of 2.

Final answer:

Mariana is incorrect because the Fundamental Theorem of Algebra states that a third-degree polynomial must have three complex roots, and she has found only two real zeros.

Explanation:

Mariana is not correct in her assumption that the Fundamental Theorem of Algebra does not apply to the function ƒ(x) = x^3 − 4x^2 − 3x + 18. The Fundamental Theorem of Algebra states that every non-constant single-variable polynomial with complex coefficients has at least one complex root. This theorem guarantees that a polynomial of degree n has exactly n complex roots, though some of the roots may be repeated and not all of them may be real. In Mariana's case, the polynomial is of the third degree, so it should have three complex roots. She has found two real zeros, −2 and 3. There must be another root, which could also be real or complex. If all roots were real, she would see all three zeros on the graph. If the third root is complex, it will not appear on the real number graph that Mariana is using.

A forest contains 7 different species of trees. If there are 100 trees of each species, how many trees are in the forest?

Answers

no of species tree=7 ,no of tree in each species=100 so,ans=7*100=700

Which statement about the ordered pairs (−9, 3) and (2, −4) is true for the equation 6x−y2=14 ?

(2, −4) is a solution to the equation.
Both ordered pairs are solutions.
Neither ordered pair is a solution.
(−9, 3) is a solution to the equation.

Answers

Neither ordered pair is a solution.
If you solve y^2-6y + 14 = 0 you'll see by the discriminate b^2-4ac
that it is not a perfect square, i.e = -20, so the solutions are imaginary numbers, i.e. no real solutions.

subtract v from t , subtract the result from s then what have you from u

Answers

u- (s - (t - v))

hope this helps

negative 6 to the negative 2 power

Answers

negative one over thirty six

Hey there!

-6⁻²

= -1 * 6⁻²

= -1 * 1/6*6

= -1 * 1/36

= - 1/36

= -1/6²

= -1/6 * 6

= -1/36

Therefore, your answer is: -1/36

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Selena bought 3.75 lb of meat for $4.64 per pound what is the total cost of the meat

Answers

$17.40 Multiply the weight by how much it costs.

Answer:

$17.40

Step-by-step explanation:

Selena bought 3.75 pounds of meat.

The cost of meat of one pound = $4.64

The total cost of the meat = 4.64 × 3.75

= $17.40

The total cost of 3.75 lb of meat was $17.40.

I need help with the second one!!

Answers

since they want to make 1 1/2 of the recipe that means that it is half of the recipe three times so you need to multiply 5/16 by three

For the second one, they are wanting to make 1 and 1/2 the original recipe. This means it is a 50% increase from the original recipe. So, we should multiply 1 and 1/2 by 5/8.
[tex]1 \frac{1}{2} * \frac{5}{8} = \frac{3}{2} * \frac{5}{8}= \frac{15}{16} [/tex]
So, they will need 15/16 cups of coca for the new recipe.

the difference of two numbers is 6. their sum is 20, what are the numbers?

Answers

13 and 7 are the correct numbers

1st number = x

2nd number = x-6

x +x-6 = 20

2x-6 = 20

2x=26

x = 26/2 = 13

13-6 = 7

the 2 numbers are 7 & 13

what is 7.630 in word form

Answers

Answer:

Seven and sixty-three hundredths.

Step-by-step explanation:

We have been given a decimal number [tex]7.630[/tex]. We are asked to write our given number in words.

We can see that our given number has 7 ones as it is in ones place.

We can also see that we have three significant digits after decimal. We can see that 3rd digit after decimal is 0, so we can write the digits after decimal as 63 hundredths.

Therefore, our given number is seven and sixty-three hundredths.

The representation of 7.630 in word form is; Seven and sixty-three hundredths.

Place value of decimal numbers

The given number is; 7.630

The given number can be written as;

7 and 0.630

Hence, the number can be pronounced as;

Seven and 630 thousandths.

However, put simply, the last zero can be ignored so that we have;

Seven and sixty three Hundredths.

Answers

You will find the area of one triangle face and multiply that by two . use the formula: [tex]A = \frac{1}{2}bh[/tex] . Once you have done that, find the permimeter of the same triangular face by adding the lengths of each side and multiplying by the length 1.2. The perimeter should equal 3.2 for one triangular face (There are multiple ways to do this problem)

How do you write 53.9 in expanded form?

Answers

You are write 53.9 as 53 and 9 tenths.

Hey there!

The "expanding" is adding the number, I believe... It's is the same way of the regular method!

So, your [tex]Answer: 50 + 3 + 0.9 [/tex]

Good luck on your assignment and enjoy your day!

~[tex]MeIsKaitlyn:)[/tex]

What number is the opposite of the opposite of 5?

Answers

The opposite of 5 is -5. But if you want the opposite of THAT, then it's 5 again.

Answer:

The opposite of 5 is negtive -5. Then you can simplify that to

what is the opposite of -5 and then you could get 5 again

what is -4/5 + 3/20 in simplest form

Answers

-4/5 = -16/20, so the new expression is (-16/20)+(3/20)
then, -16 + 3 is -13, so the solution is -13/20

-4/5 + 3/20 = 3/20 - 4/5

To subtract 2 fractions, they both need to have the same denominator.
Since 5 is one of the divisors of 20, we can just multiply the numerator and denominator of 4/5 by 4.
4/5 = (4*4) / (5*4) = 16/20

P.S. when the denominators of both fractions don't have any relation, you multiply the numerator and denominator of the first fraction by the denominator of the second, and the numerator and denominator of the second by the denominator of the first.

3/20 - 4/5 = 3/20 - 16/20

Now you just subtract the numerators:
3/20 - 16/20 = (3-16)/20 = -13/20

So -4/5 + 3/20 = -13/20

Hope this helps! :)

What's the absolute value of f(x) = x - 2

Answers

an absolute value is how far the answer is from zero. I am not totally sure what the answer is but that is all I know. My guess is l f(x) = x-2 l
Would anyone like to add on to that?

Keep in mind that the absolute value function has two conditions in its definition: |x| = x if x >= 0, and |x| = -x if x < 0. This ensures that the output of |x| is always positive by negating any potential negative values of x.

So, the absolute value of f(x), |x - 2|, will have two possible values:

x - 2, when x - 2 >= 0, and
-(x - 2) = -x + 2, when x - 2 < 0.

3/5 of a fence was installed in 1 1/2 days. how many days to install the whole fence?

Answers

First, let's convert the mixed number 1 1/2 to the improper fraction 3/2. We're given that it takes 3/2 days to install 3/5 of a fence. We're looking for how long it takes to install one whole fence - or 5/5 of a fence. To determine that, let's first find out how long it takes to install 1/5 of a fence, and then multiply that quantity by 5 to obtain our answer.

If it takes 3/2 days (3 half-days) to install 3/5 of a fence (3 fifths of a fence), then it makes sense that it would take 1/2 day (1 half-day) to install 1/5 of a fence (1 fifth of a fence).

If it takes 1/2 day to install 1/5 of a fence, then it should take 5 times that amount of time to install all 5/5 of it, or 5 * (1/2) = 5/2 days, or 2 1/2 days as a mixed number.

It will take 2 1/2 days to install the whole fence

Sea level is considered to be 0 feet. A probe released at sea level dropped at a constant rate for 3.25 minutes, reaching an elevation of −35.75 feet relative to sea level.

What was the probe's elevation relative to sea level after the first minute?

Explanation too, please!

Answers

The answer is -11 If you were to divide -35.75 and 3.25 you would get -11

Does anyone know how to do this

Answers

Step-by-step explanation:

Here is the answer ...hope it helps

what is the value of the expression

3.2(2.3)-4.8

Answers

the value of the equation is 2.56

jen wrote 10 times as many pages of a school report as tom. they wrote 396 pages altogether. how many pages did each student write

Answers

i am not sure but i think it is 184.4

Ronny read for 2.75 hours yesterday. His older brother read for 1.18 hours and his younger brother read for 0.43 hours. How much longer did Ronny read than his two brothers combined?

Answers

I'm pretty sure its 1.14 :)

Ronny read for 1.14 hours more than both of his brothers combined.

What’s 40% in fraction

Answers

40% in a fraction is 2/5 it is also 0.4 in a decimal if you're curious

To write a percent as a fraction in lowest terms, we need to remember that a percent is a ratio that compares a number to 100.

40% can be written as the ratio [tex]\frac{40}{100}[/tex]. [tex]\frac{40}{100}[/tex] is not in lowest terms so we need to divide the numerator and the denominator by 20 which gives us [tex]\frac{2}{5}[/tex].

Therefore, 40% can be written as the fraction [tex]\frac{2}{5}[/tex].

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