How would I solve this?
4a-6=-2+14

Answers

Answer 1

Solving these equations can prove to be tricky, but once you understand them, ridiculously easy! Remember: your goal is to reduce it to (variable=number). Make sure to use opposite operations to cancel out numbers, and don't forget what you do to one side you must do to the next. There isn't one true order, but you'll know you have a great understanding of what you're doing if you can solve it numerous different times and wind up with the same result!

Set up the equation!

[tex]4a-6=-2+14[/tex]

Let's try subtracting 14 from both sides! We must do the opposite operation to cancel it out.

[tex]14-14=0\\-6-14= -20[/tex]

Now we have

[tex]4a-20=-2[/tex]

We have to start on the left side now, because we can't have an equation with one blank side. The number you start with will end up getting canceled out, as 0. How about we add 20 to both sides?

[tex]-20+20=0\\-2+20=18[/tex]

Now we have

[tex]4a=18[/tex]

Next, we have to apply the opposite opperation to both sides. The only opperation left is multiplication (4a). Therefore, we need to divide by 4, because we have to isolate a.

[tex]4a/4=a\\18/4=4.5[/tex]

Now we have

[tex]a=4.5[/tex]

Your answer is a=4.5!

Remember: Combine like terms first, it's much easier!

Please let me know if this helped or if you have questions, and if you can, I'd be so grateful to receive a rating! Two-sided equations took me a long time, so I want to help you understand!


Related Questions

What is the values of x?

Answers

You have one angle given to you which is 125 so all you have to do is subtract 125 from 180 which gives you 55 then add 5 and then divide it by 15 which give you 4 if you don’t believe me plug it in
X = 4

Answer:Answer is 4

15x-5+125=180°

15x=60

x=4

Step-by-step explanation:I don't say you have to mark my ans as brainliest but my friend don't forget to thank me if it has really helped you..

Worth 15 points please help.
There are 100 prize tickets in a bowl, number 1 to 100. What is the probability that an even numbered prize ticket will be chosen at random, not replaced, then an odd numbered prize will be chosen? Does this represent an independent or dependent event? Explain.

Answers

Answer:

Step-by-step explanation:

no. even number = 50

no. odd number = 50

P (even ) = 50/ 100= 1/2

P(odd after take 1 even) = 50/99

Dependent event cause the first P affects the second P ( affect the total number of selection)

I need help!!!! What is x

Answers

Answer:

x=58 degrees

Step-by-step explanation:

The angle is a right angle (90 degrees)

90-32=58

Answer:

58 degrees.

Step-by-step explanation:

This is because a right angle is 90 degrees and there's already 32 degrees of it "taken up." 90 - 32 = 58.

How much money was raised with the 100 tickets solved?

Answers

Answer:

£1481

Step-by-step explanation:

First find the cumulative frequency of the child tickets. You should get 58.

Then multiply this by the price of the child tickets.

58x12.50=£725

Then, to work out the number of adults, we subtract 58 from 100

100-58=42

Then multiply this by the price of adult tickets.

42x18=£756

Add both prices together to get your answer.

725+756=£1481

Sorry if it's too late, I hope it helps. :)

A waitress serves $950. Worth of dinners and recieves &95.00 in tips how much less in tips did she receive if she had gotten her 15% of the cost of meals

Answers

Answer:

She receives $47.5 less

Step-by-step explanation:

Now, the first thing to do here is to calculate what 15% if the total amount is

That would be 15/100 * 950 = $142.5

The amount she receives less is thus $142.5 -$95 = $47.5

Answer:

The amount less that she received than if she had received 15% of the cost of the meal is $47.5

Step-by-step explanation:

Here we have the amount of dinners served by the waitress = $950

Amount received in tips = $95.00

Amount the waitress would have received if she had gotten 15% of the cost of meals served = 15/100 × $950 = $142.5

Therefore, since she received $95.00, the amount less that she received than if she had received 15% of the cost of the meal is thus;

$142.5 - $95 = $47.5.

Stephanie has 4,500 in her savings account. If it earns 6% interest every month how much money does Stephanie have her bank account after 3 months?

Answers

Answer:

5,310

Step-by-step explanation:

6% of 4,500 is 270

270×3 is 810

810+4,500=5,310

Use Heron’s Formula, that is, the area of a triangle is , where the triangle contains sides a, b and c and to find the area of the triangle with side lengths: .a=7/2 b=4/3 c=9/4

Answers

Answer:

Area: T = 0.649

Step-by-step explanation:

Sides: a = 3.5   b = 1.333   c = 2.25

SERIOUS MATH HELP PLEAZE
SHOW WORK OR AN EXPLANATION
HELPPPPPPPPPPPP

Answers

Answer:

The correct answer is B.

Step by step explanation:

Domain of [tex]x^2-4 : \left [ {{Solution : - \infty} <x<\infty}} \atop {Interval Notation: (-\infty, \infty})}} \right][/tex]

Range of [tex]x^2-4:[/tex][tex]x^2-4 : \left [ {{Solution : f(x)\geq -4}} \atop {Interval Notation: [-4, \infty})}} \right][/tex]

Axis interception points of [tex]x^2-4 :[/tex] X Intercepts: [tex](2,0), (-2,0)[/tex], Y Intercepts: [tex](0,-4)[/tex]

Vertex of [tex]x^2-4:[/tex] Minimum [tex](0,-4)[/tex]

Hope this helps. If so, may I get brainliest and a thanks?

Thank you, Have a good day!


Which shape is not necessarily a parallelogram?
A) quadrilateral
B) rectangle
C) rhombus
D) square

Answers

Answer:

A) Quadrilaterals

Step-by-step explanation:

All squares, rectangles, and rhombuses are parallelograms because their sides are parallel. However, quadrilaterals have four sides, but not all will be parallel.

Does the following equation represent growth or decay y=4^x

Answers

Answer:

The equation represents exponential growth

Step-by-step explanation:

Since the equation is a positive exponential equation

Solve the following:

A) a/5+3=8
B) 3b/7-1=5

Answers

Answer:

A)25

B) 14

Step-by-step explanation:

A) a/5 + 3 = 8

    a/5 = 8 - 3

    a = 5 x 5

    a = 25

B)  3b/7 -1 =5

     3b/7 = 5+1

     3b = 6 x 7

      b = 42/3

      b = 14

Andre' went to the store where 3 bags of gummie bears were $6.30. How many were 7 bags of gummie bears?
3 bags of gummie bears/$6.30 =7 bags of gummie bears
True
False

Answers

Answer: false

Explanation:
False, I had this on a quiz and got it correct

Mark has invested $300 at age 16 into a money market account earning 6%. How many times will Mark’s investment double before age 52? What will his investment be worth? What would Mark’s investment be if he had invested at age 28?

Answers

Answer:

Rough guide: doubling time in years is 72/interest rate in per cent. 72/6 is 12 so it doubles every 12 years, so in 36 years it will double 3 times.

A=300(1+.06)^36 is the formula. Without rounding, A=$2444.18. That is doubling 3 times or increasing 8 fold (and a little more)

Step-by-step explanation:

Hope this helps. Stay healthy. No corona. Take Care

At the agre of 28 he had invested A=$2444.18.

The doubling time in years is 72/interest rate in per cent.

72/6 is 12 so it doubles every 12 years,

So, in 36 years it will double 3 times.

What is the formula for the investment?

The formula of investment is

[tex]A=P(1+r)^{nt}[/tex]

[tex]A=300(1+.06)^{36}[/tex]

Without rounding, We get,

A=$2444.18.

That is doubling 3 times or increasing 8 fold.

Therefore at the age of 28 he had invested A=$2444.18.

To learn more about the investment visit:

https://brainly.com/question/25300925

Please show work, and i will mark brainliest to first correct answer

Answers

Answer:

The volume of Prism will be "189888 inches".

Step-by-step explanation:

L = 43in.

W = 92in.

H = 4ft.

Convert ft. into in.

4 x 12

H=48in.

Volume or V = BH

and

B= L X W

B = 43 X 92

B = 3956 in.

then,

Volume = 3956 x 48 inches

Volume = 189888 inches

The diagram shows a block of modelling clay.

The density of the modelling clay is 1.25g/cm^3.

What is the mass of the block of clay?

50 POINTS! PLEASE HELP ASAP!

Answers

Complete question

The diagram show a block of modelling clay 12cm 6cm and 2cm.

The density of the modelling clay is 1.25g/cm3. What is the mass of the block of clay?

Answer:

The mass of the block is 180g

Step-by-step explanation:

Given

Density = 1.25 g/cm³

Required

Mass of the block

Eben though the diagram of the block is missing, the question can still be solved.

First, the volume needs to be calculated.

Volume = lengy * breadth * height

Volume = 12 *,6 * 2

Volume = 144cm³

Now we have Volume and density.

The relationship between these two is as follows;

Density = mass/volume

Substitute for density and volume.

1.25 = mass/144

Multiply 144 to both sides

144 * 1.25 = mass/144 * 144

180 = Mass

Mass = 180

Hence, the mass of the block is 180g

find the volume of the cylinder

Answers

Answer: 502.4 cubed

Step-by-step explanation:

3.14x10x(4 squared)=160x3.14

502.4 (cubed)

A sphere with a radius of 11 in

Answers

Answer:

-The volume of a sphere:

[tex]V \approx 5575.279[/tex] [tex]in ^3[/tex]

     or

[tex]V \approx 5575.28[/tex] [tex]in^3[/tex] (Rounded to the nearest hundredth if needed)

Step-by-step explanation:

-Use the formula for the volume of a sphere and use the radius [tex]11[/tex] [tex]in[/tex] for that formula:

[tex]V = \frac{4}{3} \pi r^3[/tex]

[tex]V = \frac{4}{3} \pi 11^3[/tex]

-Then, you solve the formula:

[tex]V = \frac{4}{3} \pi 11^3[/tex]

[tex]V = \frac{4}{3} \times \pi \times 11^3[/tex]

[tex]V = \frac{4}{3} \times \pi \times 1331[/tex]

[tex]V = \frac{4}{3} \pi \times 1331[/tex]

[tex]V = \frac{5324}{3} \pi \approx 5575.279[/tex]

-Round up to the nearest hundredth (if needed):

[tex]V \approx 5575.28[/tex]

What is the distance between the points (3, 7) and (15, 16) on a coordinate
plane?
A. 13 units
B. 21 units
C. 17 units
D. 15 units

Answers

Answer:15

Step-by-step explanation:

Because you do the distance equation

Use sigma notation to represent the following series for the first 10 terms.

3 + (-6) + 12 + (-24) + ⋯

Answers

Answer:

The sum of 10 terms is  S₁₀  =  -1023

Step-by-step explanation:

Explanation:-

Given series

3 + (-6) + 12 + (-24) + ⋯

This is geometric sequence  3 , -6 ,12 , -24 ,....

a = 3 and common ratio  [tex]r = \frac{-6}{3} = -2[/tex]  

Given ratio r = -2 < 1

Sum of 'n' terms of a G.P

[tex]S_{n} = \frac{a(1-r^{n} ) }{1-r} if r <1[/tex]

Sum of '10' terms of a G.P

[tex]S_{10} = \frac{3((1-(-2 )^{10} }{1-(-2)}[/tex]

[tex]S_{10} = \frac{3((1-(-2 )^{10} }{3} = 1-2^{10} = 1- 1024 = - 1023[/tex]

Conclusion:-

Sum of '10' terms of a G.P = - 1023

Verification:-

The series of first 10 terms

3+(-6)+12+(-24)+48+(-96)+192+(-384)+768+(-1536) =  -1023

I NEED HELP ASAP!!! Suppose a study shows that 1 out of 287 computers are hacked. If a company has 8,564 computers, how many are not likely to be hacked? Round your answer to the nearest whole number

Answers

Answer:

around 30.

Step-by-step explanation:

just divide 8564 by 287 to get the answer :)

brainliest pls

What is the equation of a line with a slope of 6 and y intercept of -2

Answers

Answer:

6x-y=2 is the equation

Step-by-step explanation:

The formula is y= mx+c where m= slope and c = y-intercept

so replacing their values,

y = 6x -2

y+2= 6x

6x-y = 2 is the required equation.

Answer:

y=6x-2

Step-by-step explanation:

Answer: to write an equation it has to be y=mx+b

The slope is 6, so you substitute the 6 in for the m. M is always the slope.

You also keep the x there.

The y intercept, also know as b, is -2 so you substitute that in for b.

Then you get the equation on the line.

y=6x-2!

Hope this helps. :)

1 ½ miles in ¾ hour
find the unit rate

Answers

Answer:

Unit rate = 2 mph

Step-by-step explanation:

Distance travelled = 1½ miles = [tex] \frac{3}{2} [/tex] miles

Time taken = ¾ hours

[tex]Unit \: rate = \frac{distance \: travelled}{time \: taken} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \frac{3}{2} }{ \frac{3}{4} }\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{3}{2} \times \frac{4}{3} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \: mph (miles \: per \: hour)[/tex]

What is the surface area of the square pyramid?

Answers

Answer:

D

Step-by-step explanation:

The formula for the surface area of a square pyramid is [tex]a^2+2a\sqrt{\dfrac{a^2}{4}+h^2}[/tex], where a is the length of one of the base side lengths and h is the height. Plugging in the given values into this equation, you get:

[tex]75^2+2(75)\sqrt{\dfrac{75^2}{4}+90^2}=[/tex]

[tex]5625+150\cdot \sqrt{9506.25}=[/tex]

[tex]5625+14625=[/tex]

[tex]20,250[/tex]  square yards, or answer choice D.

Hope this helps!

A plane slices through the axis of a right circular cone with a height of 4 feet and a radius of 3 feet, as shown below. What is the perimeter of the intersection of the plane and the cone?

Answers

Answer: 37.64

Step-by-step explanation:

Given data:

Height of the cone = 4feet

Radius of the cone = 3feet

Therefore:

Perimeter of a cone = 1/3 * π * r*h

= 1/3 * 22/7 * 3² * 4

= 0.333 * 3.14 * 9 * 4

= 37.64 feet

The perimeter of the The cone and plane is 37.64feet

Explain the closure property as it relates to addition of polynomials. GIVE AN EXAMPLE PLEASE ASAP

Answers

9514 1404 393

Explanation:

The closure property for any operation and set says that performing the operation on members of the set will result in a member of the set.

The closure property for addition of polynomials says that the addition of any polynomials will result in a polynomial.

Examples:

1)  1 and x are polynomials, as is their sum: 1+x.

2) x^3 -5 and x+5 are polynomials, as is their sum: (x^3 -5) +(x+5) = x^3 -x.

What is the slope of the line parallel to y= 5x+2.

A. -1/5
B. -5
C. 5
D. 1/5

Answers

The slope of a line parallel to y= 5x + 2

This is because a parallel line will have the same slope as the line it’s trying to be parallel to. In this case, 5 :)

Translate the word phrase into a math expression.

15 fewer than the product of 4 and a number.


A. (4+x)−15

B. 15−4x

C. 4x−15

D. 4÷x−15

Answers

Answer:

es la(b

Step-by-step explanation:

Factor the following equation:
x^2 -x-90

Answers

Answer:

(x - 10)(x + 9)

Step-by-step explanation:

[tex] {x}^{2} - x - 90 \\ = {x}^{2} - 10x + 9x - 90 \\ = x(x - 10) + 9(x - 10) \\ = \red{ \boxed{ \bold{ (x - 10)(x + 9) }}}\\ [/tex]

-36 divided by what gives -4

Answers

Answer:

-36 divided by 9= -4

Step-by-step explanation:

-36 divided by 9= -4

USE A CALCULATOR OR DO THE INVERSE

Answer:

9

Step-by-step explanation:

-36/x=-4

x=-36/-4

Note, -/-=+

Therefore, x=9

Hope you understand

What is the surface area of the figure

L: 3 W:3 H: 6

Answers

Answer: 90 feet squared or whatever the units are

Step-by-step explanation:

It’s just multiplying then all together and the adding it again.

2*(3*3 + 3*6 + 3*6) = 90 feet squared

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