Ten times the sum of half a number and 6 is 8

Answers

Answer 1
10(0.5x + 6) = 8
5x + 60 = 8
5x = 8 - 60
5x = -52
x = -52/5
x = -10.4
Answer 2
Even though we don't know the number yet, we need to give it some kind of label 
so that we can work with it.  We can call it anything.  I'd like to call it ' G '.

The number we're looking for is ' G '.

Half of it is  1/2 G

The sum of that and 6 is          1/2 G + 6

Ten times that is              10 (1/2 G + 6)

The question says that's 8.
                                        So       10 (1/2 G + 6) = 8

Divide each side by  10 :                1/2 G + 6  =  0.8

Subtract  6  from each side:            1/2 G  =  - 5.2

Multiply each side by  2 :                        G  =  - 10.4

That seems like a weird answer.  We should check it.

The number:                                         -10.4
Half the number:                                   - 5.2
The sum of half the number and 6:      -5.2 + 6 = +0.8
Ten times that sum:                                                  8

Related Questions

A bag has 6 yellow marbles and 6 brown marbles. Half of the brown marbles are made of glass. A marble is selected at random from the bag. What is the probability that it is a brown, glass marble?

Write your answer as a fraction in simplest form.

Answers

total = 12 marbles
6 brown marbles but half of the brown marbles are made of glass
so brown and made of glass = 3
probability that it is a brown, glass marble = 3/12 = 1/4

answer
1/4

Triangle XYZ is reflected across the line y=x and X'= (2, -15). What are the coordinates of X,?

Answers

if reflected coordinate is (2,-15) , it mean coordinates` x and y values are changed. So, if you want to know X, reflect once again! 
Answer: (-15,2)

Answer:

the answer to this is A

Step-by-step explanation:

Margie calculated that she would spend $175 on school supplies this year. She actually spent $97.50 on school supplies. What is Margie’s percent of error? 77.3% 79.5% 44.2% 4.4%

Answers

175 - 97.5 = 77.5

77.5  /  97.5 = 0.7948 = 79.5%

answer

79.5%

Margie’s percent of error is 79.5%.

First step is to calculate the amount that Margie was off by

Amount=$175 - $97.50

Amount=$77.5

Second step is to find Margie percent of error  

Percent of error=77.5 / 97.50× 100

Percent of error = 79.48717949%

Percent of error=79.5% (Approximately)

Inconclusion Margie’s percent of error is 79.5%.

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i need help on this math problem

Answers

Mean is sum/number of values
10+11+12+12+14+15+15+15=104
104/8=13
Final answer: 13

How long is a football field

Answers

a football field is 360 feet 

the distance between goal lines is 100 yards, each end zone is 10 yards

 so total length of a football field is 120 yards

Evaluate the following expression.

5-3

Answers

subtract 5-3 = 2


check 2+3 =5

How do you find the LCM???

I know that I asked how to find the LCM of 8 and 9 but I don't know what to multiply by to get it.

Answers

If you know the LCM then you divide it by the other number.
If you don't already know it: is 8 a factor of 9 or do they have equal factors? No.
Is 9 a factor of 8 or do they have equal factors? No.
The easy way: multiply 8 by 9 to get LCM :)

Tickets to a concert cost 2$ for children and 5$ for adults. If 630 people attended the concert and ticket sales totaled 2,910$, how many children attended the concert

Answers

Look I only searched the answer but here it is.
80 childrens tickets and 550 adults tickets were sold.

c= children

a= adults

c+a = 630

c=630-a

2c + 5a = 2910

2(630-a) +5a=2910

1260-2a+5a=2910

1260+3a=2910

3a=1650

a = 1650/3=550

550 adult tickets

630-550 = 80 children's tickets


check:

550*5 = 2750

80*2=160

2750+160=2910

Multiply (4+I)(1-5i)

Answers

The rule to remember for this problem is: i^2 = -1
(4 + i)(1 - 5i)
4 - 20i + i - 5i^2
4 - 19i + 5
9 - 19i

Answer:

9 - 19i

Step-by-step explanation:

Write 0.8 repeating as a fraction

Answers

The answer is 8/9 i believe.

Answer: 8/9

Step-by-step explanation: I got the answer right

The graph shows the height, y, in centimeters, of a plant after a certain number of weeks, x. Shania drew the line of best fit on the graph.

A graph titled Plant Height shows Number of Weeks on x axis and Height of Plant in cm on y axis. The scales on both x and y axes are shown from 0 to 5 at increments of 5. The graph shows dots at the ordered pairs 0, 1 and 0.5, 1.2 and 1, 1.4 and 1.5, 2 and 2, 2.4 and 2.5, 2.7 and 3, 3 and 3.5, 3.3 and 4, 3.5 and 4.5, 3.8 and 5, 4. A straight line joins the ordered pairs 0, 1 and 5, 4

What would most likely be the approximate height of the plant after 7 weeks?

5.2 centimeters
7.6 centimeters
8.7 centimeters
12.7 centimeters

Answers

You are given a a graph titled Plant Height that shows Number of Weeks on x axis and Height of Plant in cm on y axis. Plotting this and you will get an equation of y = 1.2792x - 0.1665 (I used excel using the given points from the above problem).

y = 1.2792x - 0.1665
y = 1.2792 (7) - 0.1665
y = 8.78 centimeters.

The most likely approximate height of the plant after 7 weeks is 8.7 centimeters.

Answer:

5.2 cm.

Step-by-step explanation:

Given :

Number of Weeks(x)     Height of Plant (y)

 0                                          1

0.5                                       1.2

  1                                         1.4

 1.5                                       2

  2                                        2.4

 2.5                                      2.7

  3                                        3

 3.5                                      3.3

  4                                        3.5

 4.5                                      3.8

  5                                         4

We are given that A straight line joins the ordered pairs 0, 1 and 5, 4

So, we will find the equation of line using two point slope form:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex](x_1,y_1)=(0,1)[/tex]

[tex](x_2,y_2)=(5,4)[/tex]

Substitute the values in the formula

[tex]y-1=\frac{4-1}{5-0}(x-0)[/tex]

[tex]y-1=\frac{3}{5}(x)[/tex] ---A

Now we are supposed to find e the approximate height of the plant after 7 weeks.

Substitute  x = 7 in A

[tex]y-1=\frac{3}{5}(7)[/tex]

[tex]y=\frac{3}{5}(7)+1[/tex]

[tex]y=5.2[/tex]

Hence  the approximate height of the plant after 7 weeks is 5.2 cm.

Alina spent no more than $45 on gas for a road trip. The first gas station she used charged $3.50 per gallon and the second gas station charged $4.00 per gallon. Which inequality relates the number of gallons of gas she bought at the first station, x, the number of gallons of gas she bought at the second station, y, and the total amount she paid? What are the possible values of y?
Answers
A)3.5x + 4y ≥ 45, y ≥ 11.25
B)3.5x + 4y ≥ 45, 0 ≤ y ≤ 10.375
C)3.5x + 4y ≤ 45, 0 ≤ y ≤ 11.25
D)3.5x + 4y ≤ 45, y ≥ 10.375

Answers

 the correct answer is c

Answer:

Option C is correct.

Step-by-step explanation:

Alina spent no more than $45 on gas for a road trip.

Let gallons bought at first station be = x

Let gallons bought at the second station be = y

The first gas station she used charged $3.50 per gallon and the second gas station charged $4.00 per gallon.

Equations become: 3.50x and 4y

Total money spent on gas is no more than $45.

So, complete equation is given as:

[tex]3.50x+4y \leq 45[/tex]

To know the possible value of y let us assume she bought all the gas from second station.

[tex]4y\leq 45[/tex]

[tex]y\leq 11.25[/tex]

As the number of gallons can not negative, range is:

[tex]0\leq y\leq 11.25[/tex]

Therefore, option C is correct.

sharon and anthony dropped a stone from a 150-foot cliff. find the time, t, in seconds that it will take for the stone to reach the ground. let t=1/4 square root of s, where s represents the distance in feet the stone will fall.

Answers

Work:
(s = 150ft
t = 1/4 square root of s)
Square Root (150) = 12.2474487139
12.2474487139 ÷ 4 = 3.0618621785 = ~3.062

Final Answer: About 3.062 seconds.

scientific notation of 19 hundred thousandths

Answers

Answer
1.9×〖10〗^(-4)

Explanation
A number is said to written in scientific notation when it is in the form A×〖10〗^n, where 1≤A<10 and n is an integer.
In this case,
19 hundred thousandths =19/100,000=0.00019
0.00019=1.9×〖10〗^(-4)
19 hundred thousandths to scientific notation = 1.9×〖10〗^(-4) 

Final answer:

The scientific notation of 19 hundred thousandths (0.0019) is 1.9 × 10⁻³, accomplished by moving the decimal point three places to the right.

Explanation:

The scientific notation of the number 19 hundred thousandths, which is written as 0.0019 in decimal form, involves expressing it as the product of a number between 1 and 10 and a power of 10. To convert to scientific notation, we must move the decimal point three places to the right, which will change the number to 1.9. Since we moved the decimal point to the right, the exponent will be negative. Therefore, 0.0019 in scientific notation is 1.9 × 10⁻³.

I REALY NEED HELP!
In kite ABCD, m∠ACD=82°. What is m∠DCE?
1.)41°
2.)82°
3.)90°
4.)98°

Answers

Since ACD is equal to 82, then DCE would equal 41. This is because it is half of 82.

Answer:

(A)41°.

Step-by-step explanation:

We know that in Kite, the diagonals are the angle bisectors, therefore

In Kite ABCD, m∠ACD=82°, thus

[tex]m{\angle}DCE=\frac{1}{2}m{\angle}ACD[/tex]

Substituting the given value, we have

⇒[tex]m{\angle}DCE=\frac{1}{2}(82^{\circ})[/tex]

⇒[tex]m{\angle}DCE=41^{\circ}[/tex]

Therefore, the measure of m∠DCE is 41°.

Hence, option A is correct.

The solution to the system of equation below is (−2, −1).

2x − 3y = −1
11x − 9y = −13

When the first equation is multiplied by −3, the sum of the two equations is equivalent to 5x = −10.

Which system of equations will also have a solution of (−2, −1)?


5x = −10
11x − 9y = −13


2x + 9y = −1
11x − 9y = −13


−6x + 9y = −1
11x − 9y = −13


−6x + 3y = −1
5x = −10

Answers

5x=-10
11x-9y=-13

5x(-2)=-10
11x(-2)-9x(-1)=-13

Answer:

The correct option is 1.

Step-by-step explanation:

If a system of equation have solution (a,b), then the equations of system must be satisfied by the point (a,b).

It is given that the system of have solution (-2,-1), so the equations of system  must be satisfied by the point (-2,-1).

The system of equation in option 1 is

[tex]5x=-10[/tex]

[tex]11x-9y=-13[/tex]

Put (-2,-1) in the above equations.

[tex]5(-2)=-10\Rightarrow -10=-10[/tex]

[tex]11(-2)-9(-1)=-13\Rightarrow -13=-13[/tex]

Since left hand side is equal to right hand side, therefore the point (-2,-1) satisfy the equations and (-2,-1) is the solution of the given system.

Similarly check the other system of equations, whether the point (-2,-1) stratify the equations or not.

In option 2,

[tex]2x+9y=-1[/tex]

[tex]2(-2)+9(-1)=-1\Rightarrow -13=-1[/tex]

Since left hand side is not equal to right hand side, therefore the point (-2,-1)  is not the solution of this system of equation.

In option 3,

[tex]-6x+9y=-1[/tex]

[tex]-6(-2)+9(-1)=-1\Rightarrow 3=-1[/tex]

Since left hand side is not equal to right hand side, therefore the point (-2,-1)  is not the solution of this system of equation.

In option 4,

[tex]-6x+3y=-1[/tex]

[tex]-6(-2)+3(-1)=-1\Rightarrow 9=-1[/tex]

Since left hand side is not equal to right hand side, therefore the point (-2,-1)  is not the solution of this system of equation.

Only option 1 is correct.

How much is 1 foot line of quarters worth

Answers

a quarter is 1.75 mm thick

1 mm = 0.0393701 inches

0.0393701/12 = 25.4 mm per inch

25.4/1.75 = 14.5 quarters per inch

14.5 x 12 = 174 quarters per foot

174 x 0.25 = 43.50

$43.50 for a foot of quarters


What are the fractions of 48

Answers

Alright, so 48/1=48, 48/2=24, 48/3=16, 48/4=12, 48/5= none, 48/6=8, and 48/7=none. As 7^2 = 49 is higher than 48, there are no more numbers to be able to find as they will return a factor already stated. The factors are 1, 48, 2, 24, etc..

Gavin agrees to buy a 6-month package deal of monthly gym passes and in turn receives a 15% discount. Write an algebraic expression to represent the total cost of the monthly passes with the discount, if x represents the cost of each monthly pass.

Answers

6*x=y
15%*y=Z
that is the equations

If a scale model of a building is 5 inches wide by 7inches long. if the scale is 1 in.:15ft,how long is the building?

Answers

So if the scale is one 1in:15ft then for every inch on the model is 15 feet for the actual building so 7*15 should be the length so if I'm not being stupid the building is 105 feet long.

If a scale model of a building is 5 inches wide by 7inches long then the real-life length of the building is 105 feet.

What is Unit of Measurement?

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

If the scale of the model is 1 inch : 15 feet, this means that every inch on the model represents 15 feet in real life.

The model is 5 inches wide by 7 inches long.

Let's use the length dimension to find the real-life length of the building:

7 inches on the model represents 7 x 15 = 105 feet in real life.

Therefore, the real-life length of the building is 105 feet.

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The scores of several classmates on a language arts test are shown below: 86 points 87 points 87 points 94 points 95 points 82 points 78 points 89 points 80 points 84 points What is the median score for these students?

Answers

78,80,82,84,86,87,87,89,94,95
86+87/2 = 86.5

Answer:

78,80,82,84,86,87,87,89,94,95

86+87/2 = 86.5

Step-by-step explanation:

Which of the fractions shown has the greatest value?

2/4

4/7

1/3

4/9

Answers

4/7 has the greatest value; it is .57
1/2= .5
1/3=.33
4/9 = .44

Answer:

4/7 has the greatest value; it is .57

Step-by-step explanation:

Which undefined term is needed to define a circle

Answers

The undefined term 'point' is needed to define a circle

Answer:

the first one is "point" and the second is "1/2"

Step-by-step explanation:

Solve x3 = 1 over 8.

Answers

x^3=1/8

x=(1/8)^(1/3)

x=1/2

Answer:

The simplified form of the provided equation is 1/2.

Step-by-step explanation:

Consider the provided equation.

[tex]x^3=\frac{1}{8}[/tex]

8 can be written as 2³

1 can be written as 1³

Therefore the provided equation can be written as:

[tex]x^3=\frac{1^3}{2^3}[/tex]

[tex]x^3=(\frac{1}{2})^3[/tex]

[tex]x=\frac{1}{2}[/tex]

Hence, the simplified form of the provided equation is 1/2.

3(x+1)-[2(3-2x)-3(3-x)]

Answers

Distributive property
3x+3-2-3x+9
Combine like terms
0x+3-2+9
X=10

What is tan 45 degrees

Answers

Tan 45* = one

If this helps please give brainliest ;)

Answer:

tan 45°= 1

Step-by-step explanation:

you find the opposite/adjacent= 1

whats the property in equation 3(2x-6)=6x-18

Answers

3(2x-6)=6x-18

Distributive property

hope it helps
distributive because the 3 is distributing itself in the 2x and the -6

A machine factory produces 2 parts per second. One shift is 10 hours long. What is the production rate in parts per shift?

Answers

60 seconds per minute

 2 x 60 = 120 parts per minute

60 minutes per hour

120*60 = 7200 parts per hour

7200 x 10 hours = 72,000 parts per 10 hour shift

Tommy and Zach are starting out at the same position. Tommy runs north at 3 miles per hour and Zach starts to run east 2 hours later at the rate of 4 miles per hour. How long until Tommy and Zach are 8 miles apart?

Answers

Okay, Tommy runs in a positive y direction at 3mph, and his position can be expressed as:

T=3t

Then Zach starts running two hours later at 4mph and his position can be expressed as:

Z=4(t-2)=4t-8

The distance between Tommy and Zach can be expressed as the hypotenuse length of a right triangle with the distances for Tommy and Zach being the lengths of the sides...

d^2=T^2+Z^2

d^2=(3t)^2+(4t-8)^2

d^2=9t^2+16t^2-64t+64

d^2=25t^2-64t+64, and we want to know when they are 8 miles apart

25t^2-64t+64=8^2

25t^2-64t+64=64

25t^2-64t=0

25t(t-2.56)=0

So 2.56 hours after Tommy started running they will be 8 miles apart.

To be clear though, this is the time Tommy spent running, or the time that elapsed since Tommy started running.  Zach has only been running for 0.56 hours.  So if they are looking for the time Zach ran it is 0.56 not 2.56 hours.

Zach=2 hours Tommy= 3 1/2 hours

What is the midpoint of the line segment with endpoints (1,6) and (-3,4)?

Answers

The midpoint of a segment with endpoints (1,6) and (-3,4) is (-1,5)
hope this helps:)
please mark thanks and brainliest:)
to find the midpoint add 1 and -3 and divide it by two. thats your answer for x-axis

add 6 and 4 and divide the answer by 2 and you will get the answer for y-axis.

therefore,
midpoint = ( (1 + -3) ÷ 2 , (6+4) ÷ 2 )
= ( -2 ÷ 2 , 10 ÷ 2 )
= (-1, 5)
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