solve and check the following equation ​​

Solve And Check The Following Equation

Answers

Answer 1

Answer:

10

Step-by-step explanation:

→ Expand brackets

-5.4 + 0.55x = 0.05x - 0.4

→ Minus 0.05x from both sides

-5.4 + 0.5x = -0.4

→ Add 5.4 to both sides

0.5x = 5

→ Divide both sides by 0.05

x = 10


Related Questions

Identify the correct solution to the problem 3 x 9/10.

2 x 9/10
3 x 9/10
3 x 7/10
2 x 7/10

Answers

3x 9/10 that should be the answer

The correct solution to of 3 x 9/10 is 3 x 9/10.

The correct option is (B).

What is fraction?

The horizontal bar known as the fractional bar divides the numerator and denominator of every fraction into these two halves.

The denominator shows how many pieces were used to split the entire. Under the fractional bar, it is positioned in the lower portion of the fraction.How many of the fraction's segments are represented or chosen is shown in the numerator. It is positioned in the fraction above's upper portion.

Given:

3 x 9/10

1. 2x 9/10

= 18/10

= 1.8

2. 3 x 9/10

= 27/10

= 2.7

3. 3 x 7/10

= 21/10

= 2.1

4. 2 x 7/10

= 14/10

= 1.4

Hence, the correct solution is 3 x 9/10.

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Write in decimal form then expanded form need help please!!

Answers

Answer: 49.017 inches

Step-by-step explanation:

[tex]\displaystyle\\49\frac{17}{1000} =\\\\49.017\ inches[/tex]

7TH GRADE MATH PLESE HELP MEE ITS REALLY CONFUSING FOR ME PLS DO AS ASKED AND MARKING BRINLIST HELP ASAAAAPP!!!!!
Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in order to buy the correct amount of material. Calculate the area of the parallelogram to determine how much material should be purchased. Be sure to explain how to decompose this shape into rectangles and triangles. Describe their dimensions and show your work.


Parallelogram with base of 14 feet, height of 12 feet, and triangle base of 3 feet.

Answers

Answer:

Are of the parallelogram = 168 square feet

Step-by-step explanation:

I am not sure exactly what the question is asking for since the area of a parallelogram is simply the base x height and both are given

Are = 14 x 12 = 168 square feet

I have attached a picture with the decomposition of the parallelogram into a rectangle and two triangles.

ABCD is the parallelogram with base = 14 and height = 12

ABE and CDF are the two triangles each with base = 3 and height = 12

EBFD is a rectangle

All the dimensions are marked

I hope that helps and if you need any further clarification, please do ask

Simplify the expression below.
(4+7i)-(3-2i)

Answers

Answer: 1+9i

Step-by-step explanation:

(4+7i)-(3-2i)=

4+7i-3-(-2i)=

4+7i-3+2i=

4-3+7I+2I=1+9i

Use inverse operations to write one more correct number sentence for each of these:

a) 6x8 48

b) 29-15 = 14

Answers

The inverse operation for given sentences are 48 ÷ 8 = 6 and 14 + 15 = 29

What is inverse operation?

Inverse operations, such as addition and subtraction, multiplication and division, are pairs of mathematical operations where one operation reverses the effect of the other. The term "inverse" refers to the reciprocal of a number, i.e., x - 1 = 1 / x. One results from multiplying a number by its reciprocal, or inverse. The impact of one operation on another is reversed by using inverse operations.

The inverse operation for the the equations are -

a) 6x8 = 48

⇒ 48 ÷ 8 = 6

b) 29-15 = 14

⇒ 14 + 15 = 29

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Work out the input that makes the output of A three times the output of B

Answers

The input that makes the output of A to be three times the output of B is; x = 9

How to Solve Algebraic Word Problems?

We are told that both Machines A and B have the same input. Thus;

Output of Machine A using Algebraic Properties is;

Output A = 5x - 4

Output of Machine B using Algebraic Properties is;

Output B = 3x + 8

We want to find the input that makes the output of A to be three times the output of B. Thus;

5x - 4 = 3(3x + 8)

5x - 4 = 9x + 24

9x - 5x = -4 - 24

4x = -28

x = -28/4

x = 9

Thus, we conclude that the input that makes the output of A to be three times the output of B is; x = 9

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When a certain odd number is divided by 5, the remainder is 1.
Which digit must be in the unit's place of the odd number?

Answers

The digit at unit's place of odd number should be 1 to be divisible by 5  and have remainder 1.

Odd numbers are the numbers that cannot be divided into two equal parts.

In odd numbers the digits in the units place always remains 1,3,5,7 and 9.

According to the question the odd number is divided by 5 and the remainder is 1.

For the number to be divisible by 5 and have remainder 1 the digit that must be in the unit place will be 1

If we see all the digits in units place of odd numbers then 1 is the only possibility as if it is 3 then the remainder will be 3. If it is 5 then the remainder will be 0, if it is 7 then the remainder will be 2 and if it is 9 then the remainder will be 4.

Hence the digit at unit's place of odd number should be 1.

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4. Avi thinks about how clock fractions can be used for division. He thinks
about what fractions correspond to 45 minutes and 15 minutes on a clock.
What is 45+ 15? Write the corresponding fractions and their quotient. Write
the fractions and quotients corresponding to the other times given below in
minutes. Explain how you divide fractions.
45 ÷ 15 =
60 ÷ 30 =
20 + 40 =
3
Hy
30 ÷ 10 =
3
15320
11
||

Answers

3-2-60-3…—— 45 + 15 60

The side lengths of a triangle are 4 inches, 6 inches, and 9 inches. Is this triangle a right triangle? ​

Answers

Answer:

No

Step-by-step explanation:

A right triangle needs to have a right angle in this case this triangle does not. The next answer up is a triangle with 6,8, and 10 inches. This would give you a right triangle.

Also, To check if the sides are a right triangle, check if the sum of the squares of the two smaller sides equals the length of the square of the longest side.

I haven't used triangles in a long time..... so I kinda forget but the little I remember I used. Hope this helps!

Answer: No

Step-by-step explanation:  The given side lengths of the triangle are 4 inches, 6 inches, and 9 inches. To determine if the triangle is a right triangle, we can use the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Let's check if the given side lengths satisfy the Pythagorean theorem:

Using the Pythagorean theorem, we can calculate the squares of the side lengths:

4^2 = 16

6^2 = 36

9^2 = 81

Now, let's compare the sum of the squares of the two shorter sides to the square of the longest side:

16 + 36 = 52

81 = 81

Since 52 is not equal to 81, the given triangle is not a right triangle.

Study these equations:

f(x) = 2x – 8

g(x) = –5x

What is h(x) = f(x)g(x)?

h(x) = 10x2 – 40x
h(x) = –10x2 + 40x
h(x) = –10x + 40
h(x) = 10x – 40

Answers

The function composite h(x) = f(x)g(x) is -10x² +  40x.

Option b)-10x² +  40x is the correct answer.

What is the function composite h(x) = f(x)g(x)?

Given the functions in the question;

f(x) = 2x - 8g(x) = -5xh(x) = f(x)g(x) = ?

Since h(x) = f(x)g(x), replace the function designators in f(x)g(x) with the actual functions.

h(x) = f(x)g(x)

h(x) = ( 2x - 8 )( -5x )

Apply distributive property.

h(x) = ( 2x - 8 )( -5x )

h(x) = 2x(-5x) - 8(-5x)

Perform the operation to remove the parenthesis.

h(x) = -10x² +  40x

The function composite h(x) = f(x)g(x) is -10x² +  40x.

Option b)-10x² +  40x is the correct answer.

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Answer:

The answer is B

Step-by-step explanation:

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The data represented by the following stem-and-leaf plot range from_____ to _______. A. 61;91 B.

Answers

Answer: well i do not know

Step-by-step explanation: of well

If a triangle with angle AB 2x, BC 4x-10, and AC 3x-7, What is the lenght of line segment AC?

Answers

Answer:

Step-by-step explanation:

7 units long

Step-by-step explanation:

We are given a right triangle ABC

AB = 25 units

BC = 24 units

We are required to determine the length of AC

We are going to use the Pythagoras theorem;

According to the theorem, if a and b are the legs of a right triangle and c is the hypotenuse, then;

a² + b² = c²

In this case;

AB is the hypotenuse and BC is one of the legs of the triangle;

Therefore;

AB² = BC²+AC²

Rearranging the formula;

AC² = AB² - BC²

      = 25² - 24²

      = 625 - 576

      = 49

AC = √49

Thus, AC is 7 units long

HOPE THIS HELPS :)

Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of xx that support your conclusion.

x+10=5

Answers

Given the expression,

                         x+10=5

Rearrange variables to the left side of the equation,

                        x = 5 - 10

Calculate the sum or difference,

                        x = -5

Therefore,

The value of x is = -5

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How could you use estimation to determine if your answer is reasonable? Explain. (2 points)

Answers

You can use estimation to determine if your answer is reasonable by ensuring that the estimated answer does not have large outliers.

What is estimation?

Estimation is a rough calculation or judgment using available information based on their face values without going into detail.

Estimation, which is based on approximation, helps to determine if a reasonable solution has been found before the events occur when the actual calculations are carried out.

Estimation ensures that the obtained data or results do not vary greatly from the central values. Estimation helps calculations without adequate data and when computations involve large numbers.

Thus, you can use estimation to determine if your answer is reasonable by ensuring that the estimated answer does not have large outliers.

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on their first dive, researchers explore a part of the ocean floor that is 60 feet below sea level. This depth can be represented by the integer -60. On their second dive, researchers explore a deeper dive. d<-60 or(-60>d) true or false?

Answers

The statement that the inequality is d<-60 or(-60>d) is; true.

How to interpret Inequality word Problems?

Let d represent the depth of the researchers' second dive.

We are given that;

Depth of First dive = -60 ft

It was stated that in their second dive, the researchers explored a deeper depth, that is depth deeper than 60 ft.

Since the depth of 60ft is represented by the integer -60, then deeper depth would be represented by integers less than -60.

Thus, we can conclude that d can be represented with the inequality;

d < -60

Therefore the statement that d<-60 or(-60>d) is true.

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What two consecutive perfect squares does 10 lie between

Answers

Answer:  9 and 16

===========================================================

Explanation:

The list of perfect squares is 1, 4, 9, 16, 25, 36, 49, ...

A perfect square is the result of multiplying some whole number with itself

Examples:

1^2 = 1*1 = 1

2^2 = 2*2 = 4

3^2 = 3*3 = 9

4^2 = 4*4 = 16

and so on. We see that 10 is between the perfect squares 9 and 16

a household consists of a married couple, their twin three-year-old sons, and their twin eight-year-old daughters. the couple's children had no income and lived with their parents all of last year. how many exemptions can the couple claim on last year's tax return if they file with the "married filing jointly" status?

Answers

Considering that they filed the taxes using the "married filing jointly" status, six exemptions can be claimed by the couple.

What is the meaning of "married filing jointly" tax status?

If a person and their spouse file taxes using the "married filing jointly" status, it means that two exemptions are claimed, one for the person and one for the spouse.

For this problem, the exemptions are given as follows:

Two for the couple, as they use the "married filing jointly" status.A total of four for the children, one for each children, considering that they have two children.

2 + 4 = 6.

Hence:

Considering that they filed the taxes using the "married filing jointly" status, six exemptions can be claimed by the couple.

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Answer:

6

Step-by-step explanation:

simple 2+4=6

Bill saves 1/8 of his income. If his income is $92, how much does he save?

Answers

Given that Bill saves 1/8 of his $92 income, the amount of money he saves is $11.5.

How much does Bill saves?

Given that;

Bill saves 1/8 of his incomeBill's income is $92Amount saved by bill = ?

Let the amount saved by be be represented by the variable x.

Hence,

1/8 of Bill's income = Amount saved

1/8 × $92 = x

Multiply the numerators

x = 1/8 × $92

x = $92/8

Divide 92 by 8

x = $11.5

Given that Bill saves 1/8 of his $92 income, the amount of money he saves is $11.5.

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I need help solving for X. Please tell me the steps.

Answers

Answer:

No solution for x

Step-by-step explanation:

Subtract 7 from both sides
==> [tex]5\left|x+1\right|+7-7=-38-7[/tex]

==> [tex]5\left|x+1\right|=-45[/tex]

Divide both sides by 5
==>   [tex]\frac{5\left|x+1\right|}{5}=\frac{-45}{5}[/tex]

==>  [tex]\left|x+1\right|=-9[/tex]

But this is not possible since absolute value cannot be negative

Hence the equation is inconsistent and therefore there are no solutions for x

Answer:

No solution

Step-by-step explanation:

5|x+1| + 7 = -38

5|x+1| = -38 - 7

5|x+1| = -45

Divide both sides by -5

|x + 1| = -9

Because of how the modulus works, whatever is inside it, whether positive or negative, will become positive.

And since the left side is always positive and the right side is always negative, there is no value of x that can satisfy the equation.

Therefore there is no solution to this equation

a bag contains 6 red balls 8 balls and an unknown number of yellow balls the probability of randomly choosing a green ball from the bag is 25%

1:1 show that there are 32 balls in the bag​

Answers

The concept here used is probability.

Probability is the quantitative relation of range|the amount|the quantity} of outcomes in  thorough set of equally possible outcomes that manufacture a given event to the whole number of doable outcomes

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

we are given red balls=6

                     green balls=8

    Let yellow balls be x.

total balls=green+red+yellow =14+x

according to the question the probability of green balls is 25% i.e 1/4

probability of green balls=green balls/total balls

8/14+x = 1/4

On cross multiplying we get 32=14+x

x=18

The green balls are 18

total balls=green+red+yellow =32

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HELP NOW PLS In 5-7 complete sentences, write a real-world situation that can be modeled by the equation. Make it fun by using your name, if you want!


16x=14x+8

Answers

Answer:

Step-by-step explanation:

Kate needs to read 2 books over summer vacation. She doesn't have the books yet so she's not sure how many pages are in each book. Kate doesn't want to wait until the last minute to read the books so she is planning to read the same number of pages each day of her summer vacation. If Kate's summer vacation is 72 days long, how can she write a variable expression to represent the number of pages she will need to read each day?

eddie spends £2.75 on cake and £1 on groceries and has 2/3 left over how much did he start with

Answers

answer:

£11.25

explanation:

2.75+1=3.75 this was one third so you have to multiply 3.75 by 3 so you get 11.25.

100+ pts if correct math proofs

Answers

Using the two column proof, it has been proved that m∠2 ≅ m∠3

How to use two column proof?

From the given diagram, we can write the two column proof as follows;

Statement 1: m∠DHF = m∠EHG

Reason 1; Given

Statement 2; m∠2 + m∠1 = m∠DHF

Reason 2; Angle Addition Property

Statement 3; m∠1 + m∠3 = m∠GHE

Reason 3; Angle Addition Property

Statement 4; m∠2 ≅ m∠3

Reason 4; Definition of congruent angles

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jada used '60' pepper slices to make '3' pizzas. how many does it take to make '6' of jada's pizzas?

Answers

Answer:

Step-by-step explanation: it takes 60 peppers to make 3 pizzas we need 6 pizzas so we just take 60 x 2= 120. So we need 120 peppers to make 6 pizzas.

What is 3 5/8 in decimal form?

Answers

Answer:

35/8

step 1: turn the mixed fraction to an improper fraction =29/8

step 2: divide 29 by 8 ,it gives you 3

that and a remainder of 5 don't forget to place your decimal piont

step 3:place 0 at the back of 5 it then becomes 50 so we can easily divide 8 by 50

50 divided by 8 is 6 that gives a remainder of 2

step 3:place 0 at the back of 2 like earlier then it becomes 20

divide 20 by 8 ,this gives you 2 and a remainder of 4

step 4:place 0 at the back of 4 as done earlier , divide 40 by 8

it gives you 5 with no remainder

so your answer finally becomes 3+0.625 which is 3.625

calculate double 3 then subtract 2

Answers

3x3=6

6-2=4.

Thats the answer!!! yayayayayayayayaya

What expression is equivalent to 1/64

Answers

Answer:

1 ÷ 64

Step-by-step explanation:

Which of the following equations best represents "y is directly related to the square of x"?

y = kx
y = kx2
y = k(1/x)
y = k(1/x2)

Answers

Answer:c.

Step-by-step explanation: its true

Answer:

the answer is y = k/x

Step-by-step explanation:

why? because I said so

If the probability of rain is 2/5 what's the problem probability of no rain

Answers

Total probability always is equal to 1. With this in mind, we can consider that we already know the probability of rain is 2/5. This means the probability of no rain is 3/5 because:

5/5 - 2/5 = 3/5

Answer Recap: The probably of no rain is 3/5.

What is this?? 4x - 3 = 12 + 2x

Answers

Answer:

x = 15/2

Step-by-step explanation:

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