−3(a−8)+4a=−8(a+3)+3

Answers

Answer 1
Answer is a= -5
Reason
Distribute multiply parentheses first
-3(a-8) +4a= -8(a+3)+3
-3a +24 +4a = -8a -24 +3
Now combine like terms to isolate “a”
-3a +4a +8a = -24 +3 -24
9a = -45
Now divide both sides by 9 to solve for “a”
a= -5

Related Questions

Is LMN OPQ If so name the congruence postulate that applies

Answers

The triangle is congruent by SSS congruency because the corresponding two sides of two triangles are of the same measurement Hence, Option D is correct.

What is SSS congruency?

If the corresponding two sides of two triangles are of the same measurement, then the considered pair of triangles are congruent.

We have given two triangles that are congruent to each other;

LMN is congruent to OPQ

Given;

LM = OP

MN = PQ

LN = OQ

Thus, the triangle is congruent by SSS congruency because the corresponding two sides of two triangles are of the same measurement

Hence, Option D is correct.

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Is in between 2 number on the number line

Answers

Answer:

D

Step-by-step explanation:

Answer:

between 3 and 4

Step-by-step explanation:

3 squared is 9 and 4 squared is 16 so something in between 3 and 4 can be squared to equal 10 (since a square root is the opposite of squaring)

Helpppppp pleaseeee shoe your work

Answers

2p-4p ≤ -2

-2p ≤ 2

[tex]\frac{-2p}{-2} \leq \frac{-2}{-2}[/tex]  (Sign flips as both sides it is getting divided by NEGATIVE 2)

p≥1

Interval notation: [1, infinity)

Hope it helps!

What is (-2)-(-2 1/6) and how do i get that answer?

Answers

Answer:

1/6

Step-by-step explanation:

-2 - (-2 1/6)

multiply the number in the parentheses by -1

-2 + 2 1/6

-2 + 2  cancels out

Leaving 1/6 as your answer.

Absolute value of (-1, -3/7)

Answers

The absolute value of -1 is 1 and -3/7 is 3/7.

We have given that,

(-1, -3/7)

We have to determine the absolute value of (-1, -3/7)

What is the absolute value?

The absolute value or modulus of a real number x denoted |x|, is the non-negative value of x without regard to its sign. Namely, [tex]{\displaystyle |x|=x}[/tex]if x is a positive number, and [tex]{\displaystyle |x|=-x}[/tex] if x is negative, and[tex]{\displaystyle |0|=0}[/tex].

Therefore the absolute value of -1 is 1 and -3/7 is 3/7.

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There is a bag filled with 6 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting at least 1 blue?

Answers

Answer:

1/11

Step-by-step explanation:

probability =total number of items ÷ 1

=11÷1

=1/11

A container is an open cylinder whose height and radius are of equal length. The total surface area of the container is 300 cm³. Find the radius of the container.​

Answers

Answer:

The radius of the container is approximately 4.89 cm

Step-by-step explanation:

Given

A container with:

r = hS = 300 cm²

To find

The radius of the container

Solution

Use the equation for total surface area of cylinder:

S = 2πr² + 2πrh or S = 2πr(r + h)

Since we have r = h and the value of S is known, let's solve this equation:

2πr(r + h) = 3002πr(r + r) = 3002πr(2r) = 3004πr² = 300πr² = 753.14r² = 75r² = 75/3.14r² = 23.89 (rounded)r = √23.89r = 4.89 cm (rounded)

What is this function written in vertex form? f(x) = (x 2)2 3 f(x) = (x2 2x)2 3 f(x) = (x 1)2 2 f(x) = (x 3)2 2x

Answers

The vertex form of the give quadratic equation is f(x) = (x+1)² + 2

Vertex form of an equation

The standard vertex form of a quadratic equation is expressed as

y = a(x -h)² + k

where (h, k) is the vertex

Given the quadratic equation

f(x) = x^2 + 2x + 3

Complete the question

f(x) = (x^2+2x) + 3

f(x) = (x^2+2x+1)-1 + 3

f(x) = (x+1)² + 2

Hence the vertex form of the give quadratic equation is f(x) = (x+1)² + 2

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solve the linear system by elimination. 4x-2y=15 2x+2y=3

Answers

Answer:

x=3 and y = -3/2

What is the elimination method?

A method for solving a system of linear equations where you add or subtract equations to eliminate a variable. Eliminating one variable by combining two equations with a common term with adding or subtracting.

___________________________________

Let's solve your system by elimination.

4x−2y=15;2x+2y=3

4x−2y=15

2x+2y=3

Add these equations to eliminate y:

6x=18

Then solve 6x=18 for x:

6x=18

6x/6 = 18/6 (Divide both sides by 6)

x=3

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

4x−2y=15

Substitute3 for x in 4x−2y=15:

(4)(3)−2y=15

−2y+12=15(Simplify both sides of the equation)

−2y+12+−12=15+−12(Add -12 to both sides)

−2y=3

-2y/-2 = 3/-2 (Divide both sides by -2)

y = -3/2

Answer:

x=3 and y = -3/2

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X=3
Y=-3\2 or -1.5
Or depends on what they want

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.

x < 5
–6x – 5 < 10 – x
–6x + 15 < 10 – 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.

Answers

The correct representations are - 6x + 15 < 10 - 5x  , An open circle is at 5 and a bold line starts at 5 and is pointing to the right , Option C and E are the right answers.

What is Inequality ?

Inequality are the mathematical statements where algebraic expressions are equated by another algebraic expression or a constant using an Inequality Operator.

The given statement is

–3(2x – 5) < 5(2 – x)

On simplifying can be written as

- 6x + 15 < 10 - 5x

- 6x + 15 < 10 - 5x

- 6x < -5 - 5x

- x < - 5

 x > 5

An open circle is at 5 and a bold line starts at 5 and is pointing to the right .

Therefore Option C and E are the right answers.

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Here is an equation: 5x - 2y = 10
Create 3 equations that result in…
1. 1 solution
2. No Solutions
3. Infinitely many solutions

You should provide three different answers and an explanation why your equations work.

Answers

Answer:

one solution from the amount of numbers

The time series pattern that reflects a gradual shift or movement to a relatively higher or lower level over a longer time period is called the _____.

Answers

Answer:

Trend pattern

A square garden has a side length of 5 ft. What is the area of the garden?
O 5ft²
O 10ft²
O 20ft²
O 25 ft²

Answers

formula is lsquare so answer is 25ft

georgia drew a scale model of one of the stepping stones in her garden. the two shapes are similar, and the ratio of the lengths of the sides is 4:1. if the length of side dc equals twelve inches, what is the length of side ut in the scale drawing?

Answers

The length of the UT is 3 inches if the ratio of the lengths of the sides is 4:1. if the length of side DC equals 12 inches,

What is a scale factor?

The ratio among comparable dimensions of an object and a model with that object is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.

We have:

Georgia drew a scale model of one of the stepping stones in her garden. the two shapes are similar, and the ratio of the lengths of the sides is 4:1.

The length DC = 12 inches

DC/UT = 4/1

12/UT = 4/1

UT = 12/4 = 3 inches

Thus, the length of the UT is 3 inches if the ratio of the lengths of the sides is 4:1. if the length of side DC equals 12 inches,

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Answer:

3 in.

Step-by-step explanation:

Keep it simple :)

HELP 100 POINTS!
Step 1- Select three sites to review:
Tombs of Buganda Kings, Aksum, &



Step 2- Create your public service announcement.

Site # 1- Name of Site, and Picture

Paragraph that includes how it relates to the African city or kingdom, and why the site is worth preserving.









Site # 2- Name of Site, and Picture

Paragraph that includes how it relates to the African city or kingdom, and why the site is worth preserving.











Site # 3- Name of Site, and Picture

Paragraph that includes how it relates to the African city or kingdom, and why the site is worth preserving.

Answers

The tomb are worth preserving as they are important to the legacy of the people.

What is a tomb?

It should be noted that a tomb simply means a repository of the remains of the dead. The Tombs of Buganda Kings can be found in Uganda.

It's a royal tomb and represents the heart of the Baganda people.

In this case, the tomb are worth preserving as they are important to the legacy of the people.

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What is the method used when the objective is to determine the cause and effect relationship of a certain phenomenon under controlled condition?

Answers

Answer: A

Explaination:
The cause and effect relationship of a certain phenomenon under controlled condition

Find the perimeter.
15 ft
25 ft
if the 25ft is diagonal in a rectangle

Answers

Using Pythagorean theorem,
Let c=25 & b=15.
Therefore a=20


Perimeter is 2l+2w, and since a=20&b=15 are the length and width, we can plug that into the formula to get

70 ft

Hope this helped :)

Answer:

P=70ft

Step-by-step explanation:

25^2-15^2=400
Sqrt400=20

2l+2w=P

40+30=70

Which statements about the location of the point are true? Select three options.

Answers

The point lies behind yz-plane

Someone please explain this step by step:

If\begin{align*}

2x-y&=3,\\

x+y &=1,

\end{align*}compute $8x-7y$.

Answers

Answer:

  13

Step-by-step explanation:

Perhaps the most straightforward way to find the value of the given function is to first solve the equations for x and y. The results can be substituted into your expression to find the value you want.

__

solving the system

We notice the y-coefficients are opposites, so we can eliminate the y-variable by adding the equations.

  (2x -y) +(x +y) = (3) +(1)

  3x = 4 . . . . . . simplify

  x = 4/3 . . . . . divide by 3

The value of y can be found from the second equation:

  4/3 +y = 1 . . . . substitute for x

  y = -1/3 . . . . . . subtract 4/3

expression value

The value of 8x-7y is found by substituting the x- and y-values into this expression:

  8(4/3) -7(-1/3) = 32/3 +7/3 = 39/3 = 13

The value of 8x-7y is 13.

_____

Additional comment

You can also work out what combination of the two equations will give 8x -7y. That turns out to be 5 times the first minus 2 times the second:

  5(2x -y) -2(x +y) = 5(3) -2(1)

  10x -5y -2x -2y = 15 -2

  8x -7y = 13

__

The coefficients 5 and -2 are found by solving the system of equations ...

  a(2x -y) +b(x +y) ≡ 8x -7y   ⇒   {2a +b = 8, -a +b = -7}

Indira makes a box-and-whisker plot of her data. she finds that the distance from the minimum value to the first quartile is greater than the distance between the third quartile and the maximum value. which is most likely true?

Answers

The statement that is most likely true is , The mean is less than the median because the data is skewed to the left.

Option  E is the correct answer.

What is a Box and Whisker Plot ?

The method of representing the variation in a data set is called a Box and Whisker Plot .

A data distribution in which the data is skewed to the left

the mean is less than the median.

A data distribution in which the data is skewed to the right

the mean of the data is greater than the median.

It is given in the question that

The distance from the minimum value to the first quartile is greater than the distance between the third quartile and the maximum value.

this means data is skewed to the left,

Therefore, the statement that is most likely true is , The mean is less than the median because the data is skewed to the left.

Option  E is the correct answer.

The complete question is

Indira makes a box-and-whisker plot of her data. She finds that the distance from the minimum value to the first

quartile is greater than the distance between the third quartile and the maximum value. Which is most likely true?

The mean is greater than the median because the data is skewed to the right.

The mean is greater than the median because the data is skewed to the left.

The mean is less than the median because the data is skewed to the right

The mean is less than the median because the data is skewed to the left.

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each day you read 15 pages in your textbook. use the drop-down menu to choose the correct equation that represents the total number of pages you have read after any number of days.

Answers

Answer:

15x

Step-by-step explanation:

assum 1 day you read 15 pages then after X day you reads 15*X=15X

What do you consider to be the advantages of the numerical values? What do you consider to be the advantages of the visual representations? Which do you prefer working with, and why?

Answers

Visual representation is preferable for working for its attractive charts, graphs etc.

The advantages of the numerical values :

1. Numerical values are present in numerical methods. Numerical methods are easier to calculate with the help of mathematical operations like addition, subtraction, multiplication, division & others.

2. No analytical solution is present in numerical methods, only the numerical values are there. So, this is an advantage of numerical values.

The advantages of the visual representations

1. Visual representation gives us an easier way of understanding.

2. Visual representation makes something more interesting to read or solve.

3. Visual representation is best to arrange quantitative datas by using charts, graphs, attractive colors etc.

Which is preferable for working and why?

Visual representation is preferable for working. Because it is more easier way to solve something. The gained interest from visual representation also help to solve something quicker.

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Answer:

I myself prefer visual representation because to me it helps to see things visually and  for understanding and working with charts and graphs.

Numerical methods make equations easier to calculate because they give us help of mathematical operations like in addition, subtraction, multiplication, division & others.

Visual representations give us easier ways of understanding and makes something more interesting to read or solve by simply looking at the visual.

Step-by-step explanation:

Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
-3/4m - 1/2 = 2 + 1/4m
2
3
4
5

Answers

Multiply by 4 on both sides

Emma is designing a playground for her neighborhood
park. Her drawing has a scale of 1 cm: 3 feet. The length
of her drawing is 15 cm. What will be the actual lenght of
the playground in feet?

Answers

15x3=45 feet

Answer: 45 feet

Answer:

45 feet

Step-by-step explanation:

if 1 cm = 3 ft, we can scale up the drawing from there.

We are multiplying each cm by 3, and considering that length to be 3 feet.

If we had 2 cm, (multiply both by 3) we would have 6 feet.

So, if we had 15 cm, we also need to convert this scale length into actual length. We do this by multiplying

15 × 3 = 45

So, we know that the actual length of the playground in feet is 45 feet.

Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of pi (no approximations)

Answers

Answer:

A = 27π cm²

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

the central angle of the shaded sector = 360° - 90° = 270° , then

A = πr² × [tex]\frac{270}{360}[/tex]

  = π × 6² × [tex]\frac{3}{4}[/tex]

  = 36π × [tex]\frac{3}{4}[/tex]

  = 9π × 3

 = 27π cm²

 

please help!!!!
picture below

Answers

Answer:

7 ^ 6x + 2 = 7^15

taking log on both the sides

log 7^6x + 2 = log 7^15

6x + 2 log 7 = 15 log 7

log 7

While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have? Round to the nearest cent.

1 European euro = 1.3687 US dollars

Answers

Answer:

44.70 US dollars

Step-by-step explanation:

Begin by converting the Euros to US dollars by dividing 250 by 1.3687

250/1.3687=182.655

Then subtract 150

182.655-150=32.655

Multiply by 1.3687 to convert back to US dollars

32.655x1.3687=44.70

the tabel show the time merrida spent driving and the number of miles she drove she drove the same number of miles each other

Answers

Answer:

35 miles per hour

Step-by-step explanation:

Speed of a car or any other object is given by distance divided by time taken.

therefore,

according to the given data in the table :

speed = miles covered/ time taken

           =  140/4 = 35 miles per hour

           =  175/5 = 35 miles per hour

           =  210/6 = 35 miles per hour

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Solve this question, and I'll be extremely thankful (:
Thanks to whoever can do this for me!
-
Problem:
Using Scratch (or whatever programming language you are comfortable with), create code that would allow a user to input the legs of a right triangle and the output would be the length of the hypotenuse.

Create a program that finds the leg of a triangle given the hypotenuse and another leg and add an error message if the leg is longer than the hypotenuse.

Send a screenshot when you're done.

Answers

Answer:

it is in java and it is also can be done in BlueJ

Step-by-step explanation:

please mark me brainlist

last Saturday, 1750 people attended an event at fairway gardens. the admission fee was $3.50 for children and $8.00 for adults. if the total money collected at the event was $9,860, how many children and how many adults attended the event?​

Answers

Step-by-step explanation:

I don't know on my mommy that Is the answer

Answer:

There were 920 children and 830 adults.

Step-by-step explanation:

Let C be the number of children and A be the number of adults. Set up equations. Using the attendance of 1750 people, we can write:

c+a=1750

Using the total money collected of 9860, we can write:

3.50c+8.00a = 9860

Solve by substitution. Using (1), we solve for a to obtain (3): a=1750—c

Substutute (3) to (2) and solve for c:

3.50c + 8.00(1750 — c) = 9860

3.50e+ 14000 — 8.00c = 9860

—4.50e= —4140

c=920

Solve for a using (3):

a=1750 — 920

a=830

So, there were 920 children and 830 adults. (They better have been 6 ft apart)

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