2ax - 15 = 3(x + 5) + 5(x - 1) In the equation above, a is a constant. If no value of x satisfies the equation, what is the value of a ?
NEED EXPLANATION!​

Answers

Answer 1

Answer:

Step-by-step explanation:

Hello,

let s regroup the terms

2ax - 15 = 3(x + 5) + 5(x - 1) *** add 15 to both sides ***

<=> 2ax = 15 + 3x + 15 + 5x - 5 *** develop to remove the parentheses***

<=> 2ax = 8x + 25 *** simplify ***

<=> (2a-8)x = 25 *** subtract 8x from both sides ***

<=> (a-4)x=25/2 *** divide by 2 both sides ***

There is no solution is a-4 = 0 ,

because it would mean 0 = 25/2 and this is not possible

So it gives a = 4

Thanks

Answer 2

In the case when no value of x satisfies the equation so there the value of a should be 4.

Calculation of the value of a:

Since

the equation is  

2ax - 15 = 3(x + 5) + 5(x - 1)

2ax = 15 + 3x + 15 + 5x - 5

2ax = 8x + 25

(2a-8)x = 25

So a = 4

hence, In the case when no value of x satisfies the equation so there the value of a should be 4.

Learn more about an equation here https://brainly.com/question/22358515


Related Questions

Lucia deposits $44.60 into her bank account on Tuesday Morning. Tuesday afternoon, she withdraws to $26.30 and $21.30. Does Luisa have more or less money on Tuesday night than she did on Monday night? Does this equation tell whether Luisa has more or less money on Tuesday night than Monday night? Explain.

Answers

Answer:

Less than

Step-by-step explanation:

Using the data from the question, we can create the following equation to solve this...

44.60 - (26.30 + 21.30) = x

44.60 - (47.60) = x

-3 = x

As you can see Lucia withdrew more money than what she actually deposited which means that her account balance on Tuesday Night is less than what it was on Monday night before the initial deposit. This can all be seen using the above equation which is designed.

In which quadrant is the number 6 – 8i located on the complex plane?

Answers

Answer:

4th quadrant

Step-by-step explanation:

Match each equation with its solution

Answers

3/2x=6 answer:4
X/2=-4 answer: -8
-5x=26 answer:-5.2
X/-7.2=-4 answer: 28.8

Answer:

3/2×=6 is x equals 4

×/2=-4 equals -8

-5×=26. equals -5.2

× over -7.2 =-4 equals 28.8

Which expression is equivalent to cos(40°)cos(10°) + sin(40°)sin(10°)?

sin(40° – 10°)
cos(40° + 10°)
sin(40° + 10°)
cos(40° – 10°)

Answers

Answer:

Cos ( 40 + 10)

Step-by-step explanation:

The expression Cos( A + B)

Can be written as;

CosA CosB - SinASin B

Applying this particular case in this question;

Cos (40 + 10) = cos 40cos 10 - sin 40 sin 10

Answer:

its cos(40-10)

Step-by-step explanation:

Christina is making a salad for a dinner party with 1.78 pounds of lettuce and 4.36 pounds of tomatoes.
How much more do the tomatoes weigh than the lettuce ?

A 2.58 pounds

B. 3.58 pounds

C. 4.18 pounds

D. 6.04 pounds

Answers

Answer:

A) 2.58 pounds

Step-by-step explanation:

To solve you would have to subtract the pounds of tomatoes from the pounds of lettuce. The equation would look like this,

4.36 - 1.78 = 2.58

Hope that helps and have a great day!

Idkkkkkkkkkkkkkkkkkkkkkkkkkk

Answers

Answer:

24 sq. in

Step-by-step explanation:

your formula is A=h(b/2)

h=8

b=2

A=?

A=8(6/2)

A=8(3)

A=24

24 is the correct answer.

8 multiplied by 6=48.

48 divided by 2=24

what integer represents the sea level

Answers

Answer:

+20,320

Step-by-step explanation:

I used Google! :)

Answer:

It’s just a positive answer

Step-by-step explanation:

Below sea level would be this -3

Above sea level would be this 3

Jessica has 7/8 of a pound of candy.She are 1/4 of it at the movies. How much does she have left over
A. 5/8
B. 4/8
C. 3/4
D. 1/2​

Answers

Answer: A. 5/8

1/4 x 2 will equal 2/8. 7/8 - 2/8 = 5/8

Answer:

A. 5/8

Jessica has 5/8 pounds of candy left

✨Step-by-step explanation:✨

7/8 (how many pounds she used to have) - 1/4 (how much she ate at the movies) = ?

✨To make this easier let us turn 1/4 into 2/8 (both fractions are equivalent):✨

7/8 (How many pounds she used to have) - 2/8 ([Also 1/4] how much she ate at the movies) = 5/8 (how much she has left)

Solve the equation for x: 3x – 2c = 5

Answers

Answer:

3x-2c=5

3x=5-2c

x=5-2c

3

a counselor charges a client $110 for 4 hours of therapy. how much does the counselor earn per hour

Answers

$27.5 per hour .......

Does anyone know how to solve this 5x(x+4)^2-2y^5 x=-3 and y=-2

Answers

It’s 49.
5(-3)(-3+4)^2 -2(-2^5)
5(-3)x 1^2 +2^6
5(-3) x 1 +64
-15+64
=49

Answer:

49

Step-by-step explanation:

What is the slope in the line shown below.

Answers

Answer:

C

Step-by-step explanation:

M=y2-y1/x2-x1

1-3=(-2)

3-(-4)-7

M=(-2)/7

Hope this helps =3

PLSSS HELP ME!!!!! I WILL!!!! MARK!!!!!

Answers

Answer:

23.1

Step-by-step explanation:

(4.2)(11)(0.5)

What is the product of 1 1/2 and -1 1/4

Answers

Answer:

-1 7/8 is the answer to this

Answer:

The answer for the question above is -1 7/8.

What is -6 x -4 ?

sorry i suck at math

Answers

Answer:

24

Step-by-step explanation:

Negative × negative = positive-6 × -4 = 24

I hope this helps!

Answer:

+ 24

Step-by-step explanation:

[tex] - 6 \times - 4[/tex]

6×4= 24

(-)×(-) = (+)

[tex] + 24 \: or \: 24[/tex]

- A recipe for ice cream calls for 56 fluid
ounces of milk. How many pints of milk are
there in the recipe?

Answers

Answer:

3.5

Step-by-step explanation:

there are 16 ounces in a pint so you do 56 ÷ 16

There are 16 fluid ounces in one pint which means that there are 3.5 pints in 56 fluid ounce.

How to calculate unit price of something?

Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.

Thus, unit price of something is price of 1 thing.

Then suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.

WE have been given a recipe for ice cream calls for 56 fluid ounces of milk.

We need to find How many pints of milk are there in the recipe.

There are 16 fluid ounces in 1 pint then;

56 ÷ 16

= 3.5

The answer is 3.5 pints because there are 16 fluid ounces in one pint which means that there are two pints in 32 fluid ounces and 3.5 pints in 56 fluid ounce.

Learn more about unit price here:

https://brainly.com/question/945712

#SPJ2

what is the answer ?

Answers

Answer:

b. 5i sqaure root 2

Step-by-step explanation:

first bring out the I then take out the five.

A restaurant serves sandwiches and salads. They sold 14 sandwiches and 14 salads for a total of $280 for lunch. In the evening, 42 sandwiches and 154 salads were sold for a total of $1400. How much does each sandwich cost?

Answers

Answer:

33.3

Step-by-step explanation:

1400 divided by 42

Answer:

$33.30

Step-by-step explanation:

1400 divided by 43 = 33.3

The Baldwin family walked 4/5 of a mile in 4/9 of an hour. What is their unit rate in miles per hour?

Answers

Answer:

1.8

Step-by-step explanation:

Unit rate in mile per hour

=  4/5 mile / 4/9 hour

= 4/5 * 9/4 = 9/5  miles per hour

= 9/5 = 1.8 miles per hour

the answer is 1.8 :)

For the fair, the organizers ordered 33 rolls of tickets. Each roll of tickets has 100 tickets. How many tickets were ordered in all?

Answers

Answer:

3,300

Step-by-step explanation: 100 times 33 equals 3,300

Answer:

3,300 tickets

Step-by-step explanation:

33 times 100 = 3,300

If LN=6x-35 and MN=19 and LM=5x-9,find x.

Answers

The answer is x=45. Hope this helps!

What is an equation that goes through (12, 5); m = -3
Please help

Answers

Answer:

Step-by-step explanation:

Use this formula:

y - y1 = m ( x - x1 )

We are told m = -3 and given the point (12 , 5) ---- > so x1 = 12 and y1= 5

Put these values into the formula above and you get:

y - y1 = m ( x - x1 )

y - 5 = -3 ( x - 12 )

y - 5 = -3x + 36

y = -3x + 36 + 5

y = -3x + 41

What does the word “change “ tell you to do in “keep change flip” for dividing fractions? A) change the sing to multiplication b) change the sing to addition c) change the first fraction d) change the second fraction

Answers

Answer:

A

Step-by-step explanation:

Multiply by the reciprocal, also sometimes referred to as "Keep, Change, Flip." Here is how it works. You rewrite the division question as a multiplication question by flipping the second fraction over. Next, keep the first number, change the division to multiplication and then flip the second fraction over.

Answer:

d change the second fraction

Step-by-step explanation:

i dont know how to explain it but yeah

is this reasoning inductive or deductive? explain why.

1. all pennies are copper. if your friend gives you a penny, you conclude that the penny is copper colored.

2. all even numbers are divisible by 2. 28 is even. therefore, 28 is divisible by 2.

please help me out with this and also include reasoning! thank you so much!

Answers

Answer:

No. 1 is inductive, cos the evidence is based on proberbility as not all pennies are silver color, since thier color could change over time (fade)

while

No 2 is deductive since all even numners are divisible by 2, there is a full assurance of the outcome.

Answer: The reasonings are deductive. They tried to do a trick question I think.

Step-by-step explanation: There both deductive because the first sentence has a key word which is Conclude. The word might not seem to matter until you look up what  deductive means. Deductive and Inductive are different because one is specifics observation and then draw a conclusion and the other is specifics conclusion  follows a general theory. And the key word in deductive is conclusion in the first sentence it says that you conclude. Deductive means a conclusion that follows a general theory. The deductive is following a general theory which means if the facts are right then the conclusion should  be right. The deductive makes sense in the first because if the facts that all the pennies are copper is true then the penny your friend gave you should be copper. The second sentence same thing if the fact was right then any number that is even can be divisible by 2. So deductive makes sense in both sentences. Inductive makes sense it inside one on the sentences not both. Inductive makes sense inside the first because the person could have seen that the pennies were all made of copper. i think that it being deductive is a better choice that inductive and if you still are confused you can look up "difference between inductive and deductive reasoning" and go to images it should have a blue and pink picture of the definition of them. Sorry I wrote it so long you can just shortened it down for the answer.

What is 1.425 as a fraction in simplest form?

Answers

Answer:57/40.1.425%.A Brainliest please.

Answer:

57/40 is the correct answer to this question

A small lizard 5/8 inch long.a larger lizard is 5 1/5 times as long.how long is the larger lizard??

Answers

Answer:

3.25 inches

Step-by-step explanation:

5/8 = .625

5 1/5 = 5.2

5.2 x .625 = 3.25, or 3 1/4 in

A real number is positive, negative, or zero. True or false​

Answers

Answer:

True

Step-by-step explanation:

.

Anwer is true yea it true

9/20 - 1/4
helpppppp​

Answers

Answer:

1,9772

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

First you have to give each fraction a common denominator of 20. so

9/20-5/20=4/20 or if you reduce, 1/5.

Hope this helps :)

You are a research assistant. You are tasked with writing a research paper. You spend 1 1/2 hours researching, 2 1/6 hours writing, and 3 1/2 hours editing.

How many hours do you spend on the task?

Answers

Answer:

7 1/6

Step-by-step explanation:

1 1/2 +3 1/2= 5 = 2 1/6

=

Answer:

You spent 7 1/6 hours doing the task

Step-by-step explanation:

1 1/2 (hours researching) + 2 1/6 (hours writing) = 3 2/3 (hours researching and writing)

3 2/3 (hours spent researching and writing) + 3 1/2 (hours editing) = 7 1/6 (hours doing the task)

- Heidi bought an 18 ounce bottle of Castor Oil. If each dose is ounce, how many doses are
in the bottle?

Answers

Answer:

18 doses

Step-by-step explanation:

Since it says each dose is a ounce.

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