How do you solve this
2x + 3 = 12

Answers

Answer 1
hello!

[tex]======================================[/tex]

In order to solve this equation, we should first subtract 3 from both sides:

[tex]\pmb{2x=12-3}[/tex]

Which equals

[tex]\pmb{2x=9}[/tex]

Divide both sides by 2

[tex]\pmb{x=\displaystyle\frac{9}{2} }[/tex]

[tex]======================================[/tex]

note:-

Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer 2

Answer:

If you are trying to find slope this is how you solve it.

Step-by-step explanation:

2x+3=12

-2x       -2x

3=-2x+12

÷3  ÷3   ÷3

y=-2/3x+4

So if you are trying to find the slope it is -2/3x and the y intercept is 4.


Related Questions

amina and cara take a math test amina scores 40 marks,cara scores 60 marks write the ratio of amin to cara's marks

-they are given $20 to share,they share the money in the ratio of their marks how much does amina recieves

Answers

Answer

8

Step-by-step explanation:

Ratio: 40 : 60

Total amount - $20

40/100 x 20

= 8  (ANS)

i hope my answer is correct if not i apologize.

Determine whether each of these sets is countable or un- countable. For those that are countably infinite, exhibit a one-to-one correspondence between the set of positive integers and that set. a. integers not divisible by 3 b. integers divisible by 5 but not by 7 c. the real numbers with decimal representations con- sisting of all 1s d. the real numbers with decimal representations of all 1s or 9s

Answers

Answer:

i do not understand the questions

Step-by-step explanation:

Jacori wants to estimate the proportion on seniors who will participate in graduation. He interviews a simple random sample of 40 of the 514 seniors at his school. He find that 34 are planning to participate. Is the normal condition for finding a confidence interval met?

Answers

Using the Central Limit Theorem, it is found that the condition is not met, as there are less than 10 failures.

What does the Central Limit Theorem states?

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

In this problem, 34 of the 40 seniors are planning to participate in graduation, hence:

np = 34.n(1 - p) = 6 < 10.

Since there are less than 10 failures, the normal condition for finding a confidence interval is not met.

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

You are building a ramp that must cover a horizontal distance of exactly 28 feet. The angle of the ramp from the ground is 8°. Determine the length of the ramp, in feet.

Answers

The length of the ramp in feet is 34 feet

write the fractions in least to greatest
1/5 3/4 1/3 2/4 6/24

Answers

Answer: 1/5 6/24 1/3 2/4 3/4

Step-by-step explanation: bigger the denominator smaller the value.

If z7=4-3i, thenz7 is
Select one:
O-7
O 7
O 5
O -5

Answers

By using Euler's notation, we will see that:

z^7 = 78,125*e^(-i*4.48)

How to get z^7?

We know that:

z = 4 - 3i

Remember that for a complex number:

w = a + bi

In Euler's notation, we can write this as:

w = √(a^2 + b^2)*e^(i*Atan(b/a))

Then, for z, we will get:

z =  √(4^2 + (-3)^2)*e^(i*Atan(-3/4))

z = 5*e^(-i*0.64)

Now, if we apply an exponent of 7 to this number, we will get:

z^7 = ( 5*e^(-i*0.64))^7

z^7 = 5^7*e^(-i*7*0.64) = 78,125*e^(-i*4.48)

If you want to learn more about complex numbers, you can read:

https://brainly.com/question/10662770

The area of the rectangle is
432 square units. If the width
is 24 units, what is the length?

Answers

Answer:

18 units

Step-by-step explanation:

Area = length * width (A = L * w)

So, in order to find the length when given the width and area, you have to divide the area by the width.

432 / 24 = 18

I hope this helps! Have a lovely day!! :)

A patio in the shape of a trapezoid has vertices at (4, 1), (5, 4), (9, 4), and (9, 1).
A 4.1
B 5.4
C 9.4
D 9.1
NEED THIS ANSWER ASAP!!!

Answers

Answer: See attached

Step-by-step explanation:

     Coordinate points come in (x, y) so we graph them as so.

(4, 1) - Starting at (0, 0), also known as the origin, move four units right and one unit up. Plot point A here.

(5, 4) - Starting at (0, 0), also known as the origin, move five units right and four units up. Plot point B here.

(9, 4) - Starting at (0, 0), also known as the origin, move nine units right and four units up. Plot point C here.

(9, 1) - Starting at (0, 0), also known as the origin, move nine units right and nine units up. Plot point D here.

1. Jill bikes 15 miles in the morning and 17 miles in the afternoon. How many miles does she bike in all? Equation: miles 7 | Lesson 1

Answers

Add the two together:

15 + 17 = 32


total miles = 32

HURRYYYYY 100 POINTS The movie theater has 25 1/2 cups of popcorn. There are 15 people who ordered popcorn. Each person who ordered popcorn will receive the same amount. How much popcorn will each person get?

Answers

Answer:

1.7

Step-by-step explanation:

25.5 divided by 15

You would divide 25.5 (popcorn) by 15 (people)= 1.7, so each person will get 1.7th of the popcorn

Find the values of x for which the denominator is equal to zero for y=3x+5/x-6.
x = −5
x = 6
x = −6
none

Answers

Answer:

x=6 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

A box of 800 paper clips costs $5.60. What is the unit price of the paper clips?

Answers

Answer:

70 cents

Step-by-step explanation:

To figure out how much 1 paper clip costs we must divide :)

5.60/800 = 70 cents

Have an amazing day!!

Please rate and mark brainliest!!

This question is asking for the unit rate so basically if you were to put this into a ratio it would look like this…. 800:5.60 1:x so to solve this you would do 5.60/800 which would get you 0.7 and in money that’s 70 cents. So 70 cents per a paper clip.

In the diagram, rectangle ABCD is split in half by AC . What is the value of tan x?​

Answers

Splitting the rectangle in half creates two right triangles

The value of tan(x) is 4/3

How to determine the value of tan x?

To calculate tan(x), we make use of the following tangent ratio

tan(x) = Opposite/Adjacent

From the figure, we have:

Opposite = AD = 4

Adjacent = CD = 3

So, we have:

tan(x) = 4/3

Hence, the value of tan(x) is 4/3

Read more about tangent ratio at:

https://brainly.com/question/1592477

Answer:

4/3

Step-by-step explanation:

Multiply (2 – 7i)(–1 + 4i).

Answers

Answer is 26+15i

(2-7i) x (-1+4i)
-2+2x4i-7i ( -1) -7i+4i
-2+8i+7i-28i^2
-2+8i+7i-28(-1)
-2+8i+7i+28
26+ 15i

Answer:26 + 15i

Step-by-step explanation: 26+ 15i is the answer because i did the assignemnt

Smokers: Out of 780 smokers, 376 have been divorced.
Non-smokers: Out of 2855 non-smokers, 902 have been divorced.

a) Find the 95% confidence interval for the proportion of smokers that have been divorced.

b) Find the 95% confidence interval for the proportion of non-smokers that have been divorced.

c) What do the results above indicate about smoking and divorce?

Answers

For statictics of Out of 780 smokers, 376 have been divorced, Non-smokers: Out of 2855 non-smokers, 902 have been divorced, the 95% confidence interval for smokers and non-smokers is mathematically given as

95% confidence interval = (0.5352, 0.4462)95% confidence interval = (0.3424, 0.2894)53% increased risk of divorce for smokers.

What is the 95% confidence interval for smokers and non-smokers?

Generally, the equation for the Confidence interval is mathematically given as

p ± Z/2[p(1-p)]/n

Where

Z1/2=1-(0.05/2)

Z1/2=0.975

Read z table we have

Z score= 1.96

Hence

0.4907 ± 1.96 (0.4907)(1-0.4907)/485

0.4907±0.0445

Therefore

95% confidence interval = (0.5352, 0.4462)

b)

Z1/2 = 1- (0.05/2)

Z1/2 = 0.975

Z score= 1.96

0.3159 ± 1.96 (0.3159)(1-0.3159)/1184

0.3159±0.0265

Thereofore

95% confidence interval = (0.3424, 0.2894)

c)

In conclusion, The 95% confidence interval helps us read that 53% increased risk of divorce for smokers.

Read more about Confidence interval

https://brainly.com/question/17097944

Please help and I'll mark brainliest ​

Answers

Answer:

the answer is 60

Step-by-step explanation:

brainliest please

Answer:

B.)   I'm not 100% sure

Step-by-step explanation:

Hope this helped

can someone please help with this problem please

Answers

Answer:

1360 seats sold

Step-by-step explanation:

total seats = 1600

total seats sold = 85% of 1600

= 85/100 × 1600

= 85 × 16

= 1,360 seats sold

solve this sum plsss urgent ​

Answers

1. 1 and -1 are two such rational numbers whose multiplicative inverse is same as they are.

2. absolute value is resembled using the formula : |x|

Here,

[tex]\hookrightarrow \sf |\dfrac{-3}{11} |[/tex]

[tex]\hookrightarrow \sf \dfrac{3}{11}[/tex]

final answer: 3/11

3.

[tex]\hookrightarrow \sf \dfrac{1}{2} \div \dfrac{3}{5}[/tex]

[tex]\hookrightarrow \sf \dfrac{1}{2} * \dfrac{5}{3}[/tex]

[tex]\hookrightarrow \sf \dfrac{5}{6}[/tex]

4.

Associative property can only be used with addition and multiplication

answer this question ​

Answers

The answer is zero

Hopes this helps :)

9. The rational number that is equal to its negative is zero (0)

10. [tex]\sf \dfrac{1}{3} ( 6 \ * \ \dfrac{4}{3} )[/tex] can be written as [tex]\sf ( \dfrac{1}{3} *6)*\dfrac{4}{3}[/tex]   using associate property.

associative property is when numbers are changed within the parenthesis with out the change in result.

formula of associative property : a(bc) = (ab)c

How many gallons is equal to 48 cups?

Answers

Answer:

3 US galloons

Reflections on a Coordinate Plane

Answers

Answer:

The reflection coordinates of JKL would be:

J (3,7)

K (2,3)

L (-1,5)

The reflection coordinates of MNP would be:

M (8,-6)
N (2,-4)
P (8,-4)

Step-by-step explanation:

La medida de cada ángulo interno de un polígono regular es 162º. Hallar el número de lados.

Número de lados=

Answers

Answer:

n = 20

Step-by-step explanation:

[ 180° ( n - 2 ) ] / n = 162°  

180 ( n - 2 ) = 162 n

180n - 360 = 162n

18n = 360

n = 20

Write the equation of the line perpendicular to y=5/6x+7/6 that passes through the point (-8,9) .

Answers

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{5}{6}}x+\cfrac{7}{6}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so we can say that

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{5}{6}} ~\hfill \stackrel{reciprocal}{\cfrac{6}{5}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{6}{5}}}[/tex]

so we're really looking for the equation of a line with a slope of -6/5 and that passes through (-8 , 9)

[tex](\stackrel{x_1}{-8}~,~\stackrel{y_1}{9})\qquad\qquad \stackrel{slope}{m}\implies -\cfrac{6}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{-\cfrac{6}{5}}(x-\stackrel{x_1}{(-8)})\implies y-9=-\cfrac{6}{5}(x+8) \\\\\\ y-9=-\cfrac{6}{5}x-\cfrac{48}{5}\implies y=-\cfrac{6}{5}x-\cfrac{48}{5}+9\implies y=-\cfrac{6}{5}x-\cfrac{3}{5}[/tex]

Here are the types of sandwiches sold in a cafe last week.
Sandwiches
Tuna
Cheese
Chicken
Egg
56 tuna sandwiches were sold.
This was 40% of the total number of sandwiches sold.
(a) Work out the total number of sandwiches sold.

Answers

Answer:

  (a)  140 sandwiches

Step-by-step explanation:

The total number sold can be found from the given relation:

  56 sandwiches = 40% × total sold

__

Dividing by the coefficient of the variable, we find ...

  total sold = (56 sandwiches)/0.40 = 140 sandwiches

The total number of sandwiches sold last week was 140.

Find the average of this set of numbers.16, 20, 30, 30
A) 14
B) 15
C) 25
D) none of the above

Answers

Answer:

D) none of the above

Step-by-step explanation:

To find an average, you add up all of the numbers and divide by how many numbers there were. for example, in this equation, the sum of all of the numbers was 96. then I divided 96 by 4(the amount of numbers shown)

How many solutions are there to equation square root x = -16

Answers

0 because if it is a square root than that means that the answer can’t be negative. Therefore the answer is 0.

For f(x) = 3x^3 - 9x^2 - 5x + 2

A. Find f(-1)

B. Find f(2)

Answers

Answer:

(3x2 + 3x - 1) • (x + 2)

Step-by-step explanation:

3.4 Polynomial Long Division

Dividing : 3x3+9x2+5x-2

("Dividend")

By : x+2 ("Divisor")

dividend 3x3 + 9x2 + 5x - 2

- divisor * 3x2 3x3 + 6x2

remainder 3x2 + 5x - 2

- divisor * 3x1 3x2 + 6x

remainder - x - 2

- divisor * -x0 - x - 2

remainder 0

Quotient : 3x2+3x-1 Remainder: 0

What is the value of a,c ?

Answers

Answer:

Step-by-step explanation:

Inscribed angle of diameter is 90°

⇒ ∠ACB = 90°

In ΔACB,

∠A + ∠ B + ∠ACB = 180°   {Angle sum property of triangle}

a + 4a + 90 = 180

      5a + 90 = 180

           5a    = 180 - 90

            5a = 90

              a = 90 ÷ 5

a = 19 -----------(I)

In ΔCOB,

OC = OB   {Radius}

⇒ΔCOB is an isosceles triangle.

c = 4a    {angles opposite to equal angles are conguent}

c = 4*19    {From (I)}

c= 76

A rectangular container that has a length of 30 cm, a width of 20 cm, and a height of 24 cm is filled with water to a depth of 15 cm. When an additional 6.5 liters of water are poured into the container, some water overflows

Answers

Answer:

Step-by-step explanation:

1.1 L

Given:

A rectangular container that has:

   a length of 30 cm,

   a width of 20 cm, and

   a height of 24 cm

It is filled with water to a depth of 15 cm.

When an additional 6.5 L of water are poured into the container, some water overflows.

Question:

How many liters of water overflow the container?

The Process:

Step-1: calculate the volume of rectangular container

The volume of rectangular container is 14,400 cm³, then converted to 14,4 L.

Step-2: calculate the volume of water filled in the container to a depth of 15 cm

The volume of water filled is 9,000³ cm, then converted to 9 L.

Step-3: calculate the volume of water overflow when an additional 6.5 L of water is poured into a container.

The volume of water overflow equals the initial water volume is added to the additional water volume then subtracted by the container volume.

The volume of water overflow =

Thus, the volume of water overflow of the container is 1.1 L.

Trigonometric equations

5sinx = 3sinx + square root of 2

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♪[/tex]

Let's solve for x ~

[tex]\qquad \sf  \dashrightarrow \:5 \sin(x) = 3 \sin(x) + \sqrt{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:5 \sin(x) - 3 \sin(x) = \sqrt{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:2 \sin(x) = \sqrt{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sin(x) = \sqrt{2} \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \: \sin(x) = \frac{1}{ \sqrt{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 45 \degree \: \: or \: \: \frac{\pi}{4} \: rad[/tex]

・ .━━━━━━━†━━━━━━━━━.・

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