6.2 + 0.4x = 8.05 as a decimal . do not round

Answers

Answer 1

[tex] \: \: \: \: [/tex]

[tex] \pink{x = 4.625} \\ \\ or \: in \: alternate \: \: form \\ \\ \pink{x = \frac{37}{8} }[/tex]

Step-by-step explanation:

[tex]6.2 + 0.4x = 8.05[/tex]

move the constant to the right

[tex]0.4x = 8.05 - 6.2[/tex]

calculate

[tex]0.4x = 1.85[/tex]

divide both sides

[tex] \pink{x = 4.625} \\ \\ in \: \: alternate \: \: form \\ \\ \pink{x = \frac{37}{8} }[/tex]

hope it helps
Answer 2

[tex] \huge\bf Question:—[/tex]

[tex] \sf \longmapsto \: 6.2 + 0.4x = 8.05[/tex]

[tex] \bf \huge \: Solution:—[/tex]

[tex]\boxed{ \underline{\bf \: Solving \: for \: x:—}}[/tex]

[tex] \boxed{\bf \: Simplify \: both \: sides \: of \: the \: uequation:—}[/tex]

[tex]\sf \longmapsto6.2 + 0.4x = 8.05[/tex]

[tex]\sf \longmapsto0.4x+6.2=8.05[/tex]

[tex]\boxed{ \bf \: Subtract \: 6.2 \: from \: both \: sides:—}[/tex]

[tex]\sf\longmapsto0.4x+6.2−6.2=8.05−6.2[/tex]

[tex]\sf \longmapsto0.4x=1.85[/tex]

[tex]\boxed{ \bf \: Divide \: both \: sides \: by \: 0.4:—}[/tex]

[tex]\sf \longmapsto \: \dfrac{0.4x}{0.4} = \dfrac{1.85}{0.4} [/tex]

[tex] \boxed{\bf \: Cross-multiply:—}[/tex]

[tex]\sf \longmapsto0.4x \times (0.4)=(1.85) \times (0.4)[/tex]

[tex]\sf \longmapsto \: 0.16x = 0.74[/tex]

[tex] \boxed{\bf \: Divide \: both \: sides \: by \: 0.16:—}[/tex]

[tex]\sf \longmapsto \: \dfrac{0.16x}{0.16} = \dfrac{0.74}{0.16}[/tex]

[tex]\boxed{ \bf \: Cross-multiply:—}[/tex]

[tex]\sf \longmapsto0.16x \times (0.16)=(0.74) \times (0.16)[/tex]

[tex]\sf \longmapsto0.0256x=0.1184[/tex]

[tex]\boxed{ \bf \: Divide \: both \: sides \: by \: 0.0256:—}[/tex]

[tex]\sf \longmapsto \: \dfrac{0.0256x}{0.0256} = \dfrac{0.1184}{0.0256} [/tex]

[tex]\sf \longmapsto \: x = 4.625[/tex]

[tex] \underline{{\boxed{\bf \: Answer:—}}}[/tex]

[tex] \boxed{\huge\red{\bf \: 4.625}}[/tex]

[tex]\boxed{\underline{\bf Answer\: In \: Fractional\: Form:—}}[/tex]

[tex]\boxed{\bf \dfrac{37}{8}} [/tex]

[tex]\boxed{\underline{\bf Answer\: In \:Mixed\: Fraction:—}}[/tex]

[tex]\boxed{\bf 4\dfrac{5}{8}}[/tex]


Related Questions

You go to your locker to get some supplies. You grab 3 pens and 6 markers, then you find 2 more markers on the bottom of your locker. Choose the equivalent expressions to represent the number of pens and markers you now have.
BoldItalicUnderline

Answers

I’m not sure, it may be 3x2 for the equivalent expressions :/

Graph the function f(x)=3/2x-4. Use the line tool and select two points to graph.

Answers

Answer:

Slope = 3/2

y-intercept = -4

x  |  y

0  -4

2   -1

Step-by-step explanation:

Divide. Give the exact answer, written as a decimal.

Answers

Answer: 554

Step-by-step explanation: cause yeah

what is the slope of the line

Answers

Answer:

The slope is 1.

Step-by-step explanation:

Let's take two points on a line. (2,0) and (0,2).

Now, determine the rise and run.

Rise: 2 Run: 2

Slope = Rise/Run

=> 2/2

Conclusion:

Therefore, the slope is 1.

Hoped this helped.

how are ∠1 and ∠2 related

A. They are supplementary
B. They are complementary
C. They are Vertical
D. They are adjacent

Answers

Answer:

D. They are adjacent

Step-by-step explanation:

Angles 1 and 2 have common side, so they are adjacent. They are not making a right or straight angle.

Correct choice is D

Find the area of the shape. Either enter an exact answer in terms of π or use 3.14, point, for π and enter your answer as a decimal.

Answers

Answer:

25π

Step-by-step explanation:

1) for whole circuit: A=π*r², where r - radius of the given circle;

2) for a quater of the circuit: A=πr²/4;

3) finally, A=π*100/4=25π.

PLSSS HELP!!

Which equation could have been used to create this graph?



y = x + 4


y = 2x


y = 4x


y = x + 2

Answers

The equation y = 4x could have been used to create that graph. This is because the y-intercept of that graph is 0, and the slope is 4.
y=4x
rise= 4
run= 1
4/1

Which ratio is equivalent to the rate
8 meters
1 second
?

Answers

A unit rate where one is in the Denometer, so you would want to divide the bottom by 10.

The ratio as a unit rate is 0.8 meters per second.

What is a Ratio?

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

The given statement is "8 meters in 10 seconds".

It can be written as:

= 8/10 meters per second

= 0.8 meters per second

Thus, the ratio as a unit rate is 0.8 meters per second.

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The Question attached here seems to be incomplete, the complete Question is

Write the ratio as a unit rate. 8 meters in 10 seconds.

A. 0.8 meters per second

B. 1.125 meters per second

C. 2 meters per second

D. 80 meters per second

(8y²)(-3x²y²)(2/3xy⁴)

HELP PLEASEEEEEEEE

Answers

Step-by-step explanation:

1 Remove parentheses.

8{y}^{2}\times -3{x}^{2}{y}^{2}\times \frac{2}{3}x{y}^{4}

8y

2

×−3x

2

y

2

×

3

2

xy

4

2 Use this rule: \frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}

b

a

×

d

c

=

bd

ac

.

\frac{8{y}^{2}\times -3{x}^{2}{y}^{2}\times 2x{y}^{4}}{3}

3

8y

2

×−3x

2

y

2

×2xy

4

3 Take out the constants.

\frac{(8\times -3\times 2){y}^{2}{y}^{2}{y}^{4}{x}^{2}x}{3}

3

(8×−3×2)y

2

y

2

y

4

x

2

x

4 Simplify 8\times -38×−3 to -24−24.

\frac{(-24\times 2){y}^{2}{y}^{2}{y}^{4}{x}^{2}x}{3}

3

(−24×2)y

2

y

2

y

4

x

2

x

5 Simplify -24\times 2−24×2 to -48−48.

\frac{-48{y}^{2}{y}^{2}{y}^{4}{x}^{2}x}{3}

3

−48y

2

y

2

y

4

x

2

x

6 Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}x

a

x

b

=x

a+b

.

\frac{-48{y}^{2+2+4}{x}^{2+1}}{3}

3

−48y

2+2+4

x

2+1

7 Simplify 2+22+2 to 44.

\frac{-48{y}^{4+4}{x}^{2+1}}{3}

3

−48y

4+4

x

2+1

8 Simplify 4+44+4 to 88.

\frac{-48{y}^{8}{x}^{2+1}}{3}

3

−48y

8

x

2+1

9 Simplify 2+12+1 to 33.

\frac{-48{y}^{8}{x}^{3}}{3}

3

−48y

8

x

3

10 Move the negative sign to the left.

-\frac{48{y}^{8}{x}^{3}}{3}

3

48y

8

x

3

11 Simplify \frac{48{y}^{8}{x}^{3}}{3}

3

48y

8

x

3

to 16{y}^{8}{x}^{3}16y

8

x

3

.

-16{y}^{8}{x}^{3}

−16y

8

x

3

Done

What is the value of x?

Answers

Answer:

I am not sure the answer is , if its minus ,divade ,multiply or plus but down the answer is correct

Step-by-step explanation:

17x - 75

× = 75÷17

x= 4.4117647059

find g12 in the sequence -1,-3,-9,-27,....
a. -59,049
b. -177,147
c. 118,098
d. -19,683

Answers

Answer:

b. [tex]a_{12}=-177147[/tex]

Step-by-step explanation:

This is a geometric sequence:

[tex]a_n=a_1x^{n-1}[/tex]

where n is the index in the sequence and x is the common scale factor.

In the given sequence here, the common factor is 3:

[tex]-3\div-1=3\\-9\div-3=3\\-27\div-9=3[/tex]

That's the factor, and we know the first term is -1, so you can write the equation for this sequence:

[tex]a_n=(-1)(3)^{n-1}[/tex]

Finally, plug in 12 for n and solve:

[tex]a_{12}=(-1)(3)^{12-1}\\a_{12}=(-1)(3)^{11}\\a_{12}=(-1)177147\\a_{12}=-177147[/tex]

Vincent saves $8 each week. How much does he save in a year?
$56
$60
$416
$2960

Answers

He will save 416 dollars in one year

Answer:

$416

Step-by-step explanation:

weeks in a year is 52 weeks

52×8=416$

Lynne walks dogs every day to earn money. The fees she charges per month are 1 dog,$40;2 dogs,$37.25 each;3 dogs,$34.50 each;4 dogs,$31.75 each. A pet store wants her to walk 8 dogs if the pattern continues, how much will Lynne charge to walk each of the 8 dogs.

Answers

Answer:

The answer is $20.75

A dog: 40$

2: $37.25

3: $34.50

4: $31.75

5: $29

6: $26.25

7: $23.50

8: $ 20.75

Step-by-step explanation:

Minus $2.75 is the pattern

Answer:

$ 59.25

Step-by-step explanation:

The given rates form an AP (Arithmetic Progression).

Let the cost of walking 1 dog be taken as the first term

and,

cost of walking 2 dogs as second term,

we notice that the price per dog is decreasing by 2.75 $ each time the number of dogs is increasing by 1.

So, it's safe to say that

In the AP:

First term is $ 40

Common difference is $ 2.75

Finding the charge to walk each of the eight dogs is like finding the 8th term of the given Series.

Formula for n-th term of a depreciating AP in terms of common difference(d) and first term(a):

[tex] \boxed{ \mathsf{a _{n} = a - (n - 1)d}}[/tex]

[tex] \implies \mathsf{a _{8} = 40 - (8 - 1) \times 2.75}[/tex]

[tex] \implies \mathsf{a _{8} = 40 - 7 \times 2.75}[/tex]

[tex] \implies \mathsf{a _{8} = 40 - 19.25}[/tex]

[tex] \implies \mathsf{a _{8} = \underline{20.75}}[/tex]

Answer:

Hence, the charge to walk each of the eight dogs is $ 20.75

What is the equation of the line that passes through the point(-6,-5) and has a slope of -1/2

Answers

Answer:

y=-1/2x-8

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=-1/2(x-(-6))

y+5=-1/2(x+6)

y=-1/2x-6/2-5

y=-1/2x-3-5

y=-1/2x-8

solve for x PLS HELP QUICK I HAVE A FINAL TMRW AND I REALLY NEED TO KNOW HOW TO DO IT

Answers

Answer:

x = -9/2

Step-by-step explanation:

64 = 2^6

if you have the same base, you can set the exponents equal and solve for x.

-2x-3 = 6

-2x = 9

x = -9/2

good luck on your final! you got this!

Step-by-step explanation:

[tex] {2}^{ - 2x - 3} = 64[/tex]

first, get 64 to a base of 2

[tex] {2}^{ - 2x - 3} = {2}^{6} [/tex]

now we can drop the bases

[tex] - 2x - 3 = 6[/tex]

And now we can solve it like any other equation

[tex] - 2x = 6 + 3[/tex]

[tex] - 2x = 9[/tex]

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

I promise y’all this is the last question I need to be answered

Answers

Answer:

sorry there's no results

Step-by-step explanation:

just skip it

Mark's test scores for this semester were: 83, 80, 91, 74, 66, 95, 87, 72, 95, & 98. What is the mode of his test scores?

Answers

nnnnnnnnnnnnnnnkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

The mode is 98 since it is the largest value in the set of data! Hope this helps!

Solve for x.
2x + 20=2x - 4
+
x = [?]
Enter

Answers

Answer:

x=24

Step-by-step explanation:

2x+20=2x-4+x

Subtract 2x from both sides

2x+20-2x=2x-4+x-2x

Simplify

20=-4+x

Add 4 to both sides

24=x

Switch sides

x=24

There are 3 times as many books in the town library as there are in the school library. The town library has 2,676 books.

How many books are in the school library?

Answers

Answer: First we know the Town Library has 3 times as many books as there are in the School Library. The Town Library has 2,676 books.

Divide 2,676 by 3. 2676÷3= 892

So your answer is: 892 books.

Hope I helped. :)

The number of books in the library will be 892.


What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that there are 3 times as many books in the town library as there are in the school library. The town library has 2,676 books.

The number of books will be calculated as,

Number = 2676 / 3

Number = 892

Hence, the number of books will be 892.

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someone should help me with this question

Answers

Answer:

option c.)

Step-by-step explanation:

m∠1 + m∠3 = 180°

Please answer really quick

Answers

Answer:

A, 94

Step-by-step explanation:

4. A since that is the tallest of the bars

5. 51 + 9 + 34 = 94 people

find the degree desirous the number of turning point in the y-intercept of the given graph of each polynomial function below
pasagot po ako​

Answers

Answer:

2

Step-by-step explanation:

There are two turning points, therefore this is a cubic function. The degree is 3

what does i^739 equal? explain how you found your answer.

Answers

Answer:   -i

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

Explanation:

i = sqrt(-1)

Lets list out the first few powers of i

i^0 = 1i^1 = ii^2 = -1i^3 = i*i^2 = i*(-1) = -ii^4 = (i^2)^2 = (-1)^2 = 1

By the time we reach the fourth power, we repeat the cycle over again (since i^0 is also equal to 1). The cycle is of length 4, which means we'll divide the exponent over 4 to find the remainder. Ignore the quotient. That remainder will determine if we go for i^0, i^1, i^2 or i^3.

For example, i^5 = i^1 because 5/4 leads to a remainder 1.

Another example: i^6 = i^2 since 6/4 = 1 remainder 2

Again, we only care about the remainder to find out which bin we land on.

-------------

Turning to the question your teacher gave you, we have,

739/4 = 184 remainder 3

So i^739 = i^3 = -i

-i is the final answer

--------------

Side notes:

if i^a = i^b, then a-b is a multiple of 4Recall that the divisibility by 4 trick involves looking at the last two digits of the number. So i^739 is identical to i^39.

simplify 3^-6x(3^4 divided by 3^0)^2

Answers

Answer:

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "^-6" was replaced by "^(-6)".

Equation at the end of step

1

:

  34

 {——}2

  1

STEP

2

:

           34

Simplify   ——

           1

Equation at the end of step

2

:

 ((3-6) • x) • (34^2)

Equation at the end of step

3

:

 ((3)(-6) • x) • 38

Dividing exponents:

4.1    38   divided by   36   = 3(8 - 6) = 32

Final result :

 9x

The simplification of the given expression gives the value 9.

What is simplification?

Simplification is defined as a process in mathematics to operate and interpret an expression to make the expression simpler.

This can be done using various results or the basic operations of numbers.

Given expression is 3⁻⁶ × (3⁴ / 3⁰)².

We have to use product rule and quotient rule of exponents to simplify this.

We know that,

xᵃ × xᵇ = xᵃ⁺ᵇ

xᵃ / xᵇ = xᵃ⁻ᵇ

Also, (xᵃ)ᵇ = xᵃᵇ

3⁴ / 3⁰ = 3⁴⁻⁰ = 3⁴

Substituting,

3⁻⁶ × (3⁴ / 3⁰)² = 3⁻⁶ × (3⁴)²

                       = 3⁻⁶ × 3⁸

                       = 3⁻⁶⁺⁸

                       = 3²

                       = 9

Hence the simplified form of the given expression is 9.

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Recommendations Skill plans A Math FL Standards Algebra 1 > J.10 Solve one-step and two-step equations: word problems UFG You have prize On a sunny fall day, Raymond and his family go to an orchard to pick apples for their famous apple pies. First, they pick enough Golden Delicious apples to fill a bag. Then, they pick enough Honeycrisp apples to fill another bag. The bag of Honeycrisp apples weighs 20 pounds. In all, Raymond's family picks 44 pounds of apples. Which equation can you use to find the weight w of the Golden Delicious apples? W + 20 = 44 20w = 44 W - 20 = 44 = 44 20 Solve this equation for w to find the weight of the Golden Delicious apples. pounds Submit​

Answers

(a) The equation for estimating the weight W of the Golden Delicious apples is W + 20 = 44.

(b) The weight of the Golden Delicious apples is 24 pounds.

Let the weight of the Golden Delicious apples = WWeight of the Honeycrisp apples = 20 lbTotal weight of the apples = 44 lb

The equation for estimating the weight W of the Golden Delicious apples is calculated as follows;

Weight of Golden delicous apples + Weight of Honeycrisp = Total weight of the apples

W + 20 = 44

The weight of the Golden Delicious apples is calculated as follows;

W + 20 = 44

collect similar terms together;

W = 44 - 20

W = 24 lb

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Help me with this I can’t ;c

Answers

Hello there, this is how we would solve this problem, we can see that angle KAE equals 90° and we have an angle that equals 62° now since angle GCJ or also known as x is a vertical angle with IAD we can make the following equation

[tex]x+62+90=180[/tex] subtract 62 and 90 from both sides and we get that [tex]x=28[/tex]°

What common side does ΔABC share with ΔADC?


BC

AD

BD

AC


Answers

I think it’s AC, but I may be wrong

Answer:

it's a and c

luk closely

What is the common ratio for the geometric sequence?
18,12,8, ...
16/3
Enter your answer in the box.

Answers

Answer:

Answer below

Step-by-step explanation:

basically, what should we multiply each term by to get next term

18 times what=12

what=12/18=2/3

12 times what=8

what=8/12=2/3

common ratio is 2/3

_____________________________________________________

(hope this helps can I pls have brainlist (crown)☺️)

please help me with this. really need this​

Answers

Answer:

  (a)  1

Step-by-step explanation:

When you draw a horizontal line on the graph at y=1, you see it intersects the curve in two places. That is, there will be 2 real solutions to f(x) = 1, not 4 solutions.

If you want 4 solutions, the value of c in f(x)=c cannot be 1.

What is the value of the expression
3-4 ?

Answers

Answer:

[tex]3 - 4 = 1[/tex]

✨✨

3-4

you just need to subtract 3 from -4

so , your answer is -1

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In the art club, there are 2 seventh graders for every 3 eighth graders. Atthis year's art fair, there were 7 paintings by seventh graders for every 12paintings by eighth graders. Is the ratio of seventh graders to eighthgraders in the art club equivalent to the ratio of paintings by seventhgraders to paintings by eighth graders? * 14. A triangle has vertices at A(4,2), B(-4,-2), andC(2, 4). If the triangle is dilated with respect to theorigin using a scale factor of 172, what will thecoordinates for the new vertices be?A A' (2.1). B' (-2,-1), and C (1.-2)B. A (8.4), B (-8,-4). and C (4. - 8)C. A' (1,2), B (-1,-2), and C (-2. - 1)D. A (-2,-1), B' (-2,-1), and C (-1,2) what is this using Distributive property 6(n + 4) 8a+3.28=46.28solve for a please ik I already asked but I need to pass this test thank you :) Can a president be removed from office? Why do different places on Earth have different climates? Your answer should include 1 paragraph to explain the claim, evidence, and reasoning. Be sure to check your grammar and spelling! NEED HELP JUST SEND ME QUESTIONS What do you learn about the narrator at the beginning of the story? How would you describe him? Mr. McKenna filled his gas tank with 75 gallons of gas. It takes him gallon of gas to get to work. Each day, he travels to work and back home the same way. How many days can Mr. McKenna drive to and from work until his gas tank is empty? Rewrite the linear equation 2x = 13y 9 in slope-intercept form why might an African American feel as if he or she is not being treated fairly by having to sit in a different section? A restaurant recorded the ages of customers on two separate days. You are going to write a program to compare the number of customers in their forties (ages 40 to 49). What is the missing line of code?customerAges = [33, 23, 11, 44, 35, 25, 35, 68, 51]count40s = 0for item in customerAges: _____; count40s = count40s + 1print("Forties:", count40s)if 40 > item > 49if 40 < item < 49if 40 = 49 This year, a small business had a total revenue of $41,600 . If this is 28% more than their total revenue the previous year, what was their total revenue the previous year? What is the smallest two-digit integer $n$ such that switching its digits and then adding 3 results in $2n$ Graph the solution to this inequality on the number line. 1/3x3 HELP ME!! (only solve A) What is the name of the intersection point? Explain. Hurry answer plsss I'll give brainlest Determine if the point (2,-1) is a solution of the system: 3x - y = 7 2x + 3y = 1 what are three advantages of a democracy? A. Government can act quickly and decisively B. It includes everyone in the decision-making progressC. It protects individual freedomD. Anybody can run for and hold political office