Justify the first step that David took in verifying that x = 5 is a solution for the equation
8x – 13 = 2x + 17.

8x – 13 = 2x + 17
8(5) – 13 = 2(5) + 17
A.
David multiplied 8 by 5.
B.
David subtracted 13 from both sides.
C.
David replaced x with 5.
D.
David added 17 to both sides.

Answers

Answer 1

Answer:

Step by step I don't see the correct first step.

Step-by-step explanation:

Solve for x:

8 x - 13 = 2 x + 17

Hint: | Move terms with x to the left hand side.

Subtract 2 x from both sides:

(8 x - 2 x) - 13 = (2 x - 2 x) + 17

Hint: | Combine like terms in 8 x - 2 x.

8 x - 2 x = 6 x:

6 x - 13 = (2 x - 2 x) + 17

Hint: | Look for the difference of two identical terms.

2 x - 2 x = 0:

6 x - 13 = 17

Hint: | Isolate terms with x to the left hand side.

Add 13 to both sides:

6 x + (13 - 13) = 13 + 17

Hint: | Look for the difference of two identical terms.

13 - 13 = 0:

6 x = 17 + 13

Hint: | Evaluate 17 + 13.

17 + 13 = 30:

6 x = 30

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 6 x = 30 by 6:

(6 x)/6 = 30/6

Hint: | Any nonzero number divided by itself is one.

6/6 = 1:

x = 30/6

Hint: | Reduce 30/6 to lowest terms. Start by finding the GCD of 30 and 6.

The gcd of 30 and 6 is 6, so 30/6 = (6×5)/(6×1) = 6/6×5 = 5:

Answer: x = 5


Related Questions

Find the following measure for this figure.

A radius of 5
and a length of 11

Lateral area = ?

a. 55 square units
b. 5√(47) square units
c. 5√(146) square units

Answers

l=11r=5

Now

LSA:-

πrlπ(11)(5)55πunits ²

A video receives -16 points and 33 points in one day. How many members voted?

Answers

Answer: 49 members

Step-by-step explanation:

     We will take the absolute value (their distance from 0) of both numbers and add them together. This will give us our final answer.

|33| = 33

|-16| = 16

33 + 16 = 49

            49 members voted.

Answer:

Step-by-step explanation:

49

How many metres are there in 2 kilometres?

Answers

First i want you to find how many meters are in one kilometer then you multiply that by two

Answer:

2000 metres

Step-by-step explanation:

1000 metres = 1 km

therefore, (1000×2) metres = 2 km

2000 metres = 2km

What is the least common denominator of 7/10 and 4/5?

Answers

Answer:

10

Step-by-step explanation:

The least common denominator can be found by finding the LCM of the 2 denominators:

First let's list the multiples of the first denominator :

10,20,30,40,50

Now let's list the multiples of the second denominator :

5,10,15,20,25

As we can see the lowest number that appears in both lists is 10.

Therefore 10 is the least common denominator.

I would really appreciate the help on this please

Answers

Answer:

[tex]{x}^{3} + 2x ^{2} - 6x + 45[/tex]

Step-by-step explanation:

sorry I didn't write it out...

Find a polynomial f(x) of degree 5 that has the following zeros -1,4,2,0,3

Answers

Answer:

Given that f(x) contains the discrete points of{(0, 3), (1, 4), (2, 0), (3, 1), (4, 2)}, the value of (f of)(0) is5.

1. Use the table to determine

whether 245 pounds,
260 pounds, or 263 pounds

is the most reasonable

estimate for how much more
the ostrich weighs than the flamingo. Explain

HELP

Answers

Take ostrich and convert to an improper fraction. Denominator times whole number plus numerator. Same with flamingo.
507/2 and 91/10 convert to like denominators.
2535/10 and 91/10.
Subtract the two weights.
You get 2444/10.
Swing decimal one position on 2444. to get 244.4 lbs.
245 pounds is the answer since it is closest to 244.4.
253 minus 9 is 244 if you ignore fractions. Do it this way since approximation matches the answer.
You can also eliminate the other answers since the difference will be less than the weight of the ostrich.
Please mark as the best!

Convert the function from vertex form to standard form.
-1/2(x + 2)^2 - 3

Answers

Answer:

[tex] -\frac{1}{2}x^2-2x-5 [\tex]

Step-by-step explanation:

To convert it to standard form, all you need to do is expand the square and simplify. This would get us to: [tex]-\frac{1}{2}(x^2 + 4x + 4) - 3[/tex] which simplifies further to [tex]-\frac{1}{2}x^2-2x-2-3[/tex] and combine the -2 and -3 to get [tex] -\frac{1}{2}x^2-2x-5 [\tex]

Hope this helps :)

Help picture below problem 12

Answers

Answer:

isosceles triangle is shown in fig

Liz wants to hang a painting on her
wall so that it is centered. The wall is
110 inches wide, and the painting is
28 inches wide.
3
Determine how far the edges of the
painting need to be from the ends of
the wall, expressed as a mixed number.

Answers

Answer:

[tex]41\frac{1}{8}[/tex]

Is there a relationship between the distance and the sum? Is there a relationship between the distance and the difference? A 5-column table with 3 rows. Column 1 is labeled a with entries 1, 4, negative 6. Column 2 is labeled b with entries 2, negative 1, negative 3. Column 3 is labeled a + b with entries 3, 3, negative 9. Column 4 is labeled a minus b with entries negative 1, 5, negative 3. Column 5 is labeled Distance with entries 1 unit, 5 units, 3 units. Which describes the relationship between the distance and the difference? The distance is always the opposite of the difference. The distance is exactly the difference. The distance is the absolute value of the difference. The distance is not related to difference.

Answers

Answer:

C) The distance is the absolute value of the difference

Step-by-step explanation:

We are interested in the last two columns.

If we compare them we see that each value of the distance column is the absolute value of corresponding value of difference:

a - b        = 1, 5, - 3distance  = 1, 5, 3

Corect choice is C

Answer:

The distance is the absolute value of the difference.

Step-by-step explanation:

Given table:

[tex]\begin{array}{|c|c|c|c|c|}\cline{1-5} a & b & a+b & a-b & \sf distance\\\cline{1-5} 1 & 2 & 3 & -1 & 1 \sf \: unit\\\cline{1-5} 4 & -1 & 3 & 5 & 5 \sf \: units\\\cline{1-5} -6 & -3 & -9 & -3 & 3 \sf \: units\\\cline{1-5}\end{array}[/tex]

The difference is column 4.

The distance is column 5.

The absolute value of a number is its positive numerical value.  It is denoted by a vertical line either side of the real number.

For example, |5| means 'the absolute value of 5', and |-5| means 'the absolute value of -5'.

Taking the absolute values of the differences:

⇒ |-1| = 1

⇒ |5| = 5

⇒ |-3| = 3

Therefore, the distance is the absolute value of the difference.

What is P(factor of 64)? Write your answer as a percentage.

Answers

Answer:

the ansewr is eight percent

n - 1/8 = 3/8
I am no smort and i forgot to study for a test =|

Answers

Answer:

[tex]\boxed{\sf{n=\dfrac{1}{2}=0.5 }}[/tex]

Step-by-step explanation:

Isolate the term of n from one side of the equation.

n-1/8=3/8

First, add by 1/8 from both sides.

n-1/8+1/8=3/8+1/8

Solve.

Add the numbers from left to right.

3/8+1/8=4/8

Common factor of 4.

4/4=1

8/4=2

Rewrite as a fraction.

=1/2

n=1/2

Divide is another option.

1/2=0.5

n=1/2=0.5

Therefore, the final answer is n=1/2=0.5.

I hope this helps you! Let me know if my answer is wrong or not.

I sent pic for help. Question has 3 parts

Answers

P(head)=178/200
=89/100

Mr. Sanchez’s class sold fruit pies for $1.73 each and Mr. Kelly’s class sold bottles of fruit juice for $1.44 each. Together, the classes sold 83 items and earned $130.83 for their school. Write and solve a system of equations that models this problem.

Answers

The system of equation that models the problem is as follows;

x + y = 83

1.73x + 1.44y = 130.83

The number of fruit pies sold is 44 and the number of fruit juice sold is 39.

How to solve a system of equation that models a problem?

Mr Sanchez class sold fruit pies for $1.73 each and Mr Kelly's class sold bottles of fruit juice for $1.44 each.

Therefore,

let

x = number of fruit pies sold

y = number of fruit juice sold

Together, the class sold 83 items. Therefore,

x + y = 83

They sold a total of $130.83. Therefore,

1.73x + 1.44y = 130.83

x + y = 83

1.73x + 1.44y = 130.83

1.73x + 1.73x = 143.59

1.73x + 1.44y = 130.83

0.29x = 12.76

x = 12.76 / 0.29

x = 44

Therefore,

y = 83 - 44

y = 39

learn more on system of equation here: https://brainly.com/question/13958134

1 point
Item at position 12
Find x and the measure of angle P.

x =
Question Blank 1 of 2
type your answer...
,
angle P =
Question Blank 2 of 2
type your answer...
degrees

Answers

Answer:

Step-by-step explanation:

Angle sum property of triangle: Sum of all angles of triangle is 180

∠P + ∠Q + ∠R = 180

10x - 4  +4x - 22 + x +11 = 180

10x + 4x + x - 4 - 22 + 11 = 180

Combine like terms,

              15x  - 15 = 180

Add 15 to both sides

                     15x = 180 + 15

                     15x = 195

Divide both sides by 15

                         x = 195/15

x = 13

∠P = 10x - 4

     = 10*13 - 4

      = 130 -4

∠p = 126°

Which of the following is not a way to say 2x + 2?
A.
twice a number plus two
B.
two times the sum of a number and two
C.
two times a number, added to two
D.
the sum of twice a number and two

Answers

Answer:

d(sum of twice a no and two)

Step-by-step explanation:

Answer:

correct answer is B

Step-by-step explanation:

two times the sum of a number and 2:

2(x+2), which is not correct

For each pair figures, find the ratio of the area of the first figure to the area of the second. 14mm 7mm

Answers

The ratio of the area of the first figure to the area of the second figure is 4:1

Ratio of the areas of similar figures

From the question, we are to determine the ratio of the area of the first figure to the area of the second figure

The two figures are similar

From one of the theorems for similar polygons, we have that

If the scale factor of the sides of two similar polygons is m/n then the ratio of the areas is (m/n)²

Let the base length of the first figure be ,m = 14 mm

and the base length of the second figure be, n = 7 mm

∴ The ratio of their areas will be

[tex](\frac{14 \ mm}{7 \ mm})^{2}[/tex]

[tex]= \frac{196 \ mm^{2} }{49\ mm^{2} }[/tex]

[tex]=\frac{4}{1}[/tex]

= 4:1

Hence, the ratio of the area of the first figure to the area of the second figure is 4:1

Learn more on Ratio of the areas of similar figures here: https://brainly.com/question/11920446

Use the distributive property to fill in the blank. 8 x (6 - 5) = (8 x ?) - (8 x ?)

Answers

P.M.D.A.S
P. Parentheses
M. Multiple
D. Divide
A. Add
S. Subtract

Hey there!

8 * (6 - 5)

= 8(6 - 5)

= 8(6) + 8(-5)

= 48 + (-40)

= 48 - 40

= 8


OR

8 * (6 - 5)

= 8(6 - 5)

= 8(1)

= 8


OR EVEN

8 * (6 - 5)

= (8 * ?) - (8 * ?)

= (8 * 6) - (8 * 5)

= 48 - 40

= 8


Thus, your answer is: (8 * 6) - (8 * 5)


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Derek need to buy 4 sheets of plywood for $9 each and some boxes of nails. He has $60 to spend. If each box of nails costs $5 at most how many boxes can he buy?

Answers

Answer:

4

Step-by-step explanation:

4 sheets of plywood X 9$=36$

60$-36$=24$

24$ is left over to buy boxes of nails at 5$ each

24/5=4.8

Derek can buy 4 boxes of nails.

4 (plywood sheets) x 9 (price of sheets)= 36$
36$ (price of four plywood sheets) - 60$ (total sum) = 24$
24$ : 5$ (price per box) = 4.8, but he can’t but a fraction of a box so he can only buy 4 boxes of nails

4(x+5)=6(x+4) what is x

Answers

Answer:

x = -2

Step-by-step explanation:

1) Distribute

4(x+5)=6(x+4)

4x+20=6(x+4)

2) Distribute

4x+20=6(x+4)

4x+20=6x+24

3) Subtract 20 from both sides

4x+20=6x+24

4x+20-20=6x+24-20

4) Simplify

- Subtract the numbers

4x+20-20=6x+24-20

4x=6x+24-20

- Subtract the numbers

4x = 6x + 24 - 20

4x = 6x + 4

5) Subtract 6x from both sides

4x = 6x + 4

4x - 6x = 6x + 4 - 6x

6) Simplify

- Combine like terms

4x-6x = 6x + 4 - 6x

-2x = 6x + 4 - 6x

- Combine like terms

-2x = 6x + 4 - 6x

-2x = 4

7) Divide both sides by the same factor

-2x = 4

-2x/-2 = 4/-2

8) Simplify

- Cancel terms that are in both the numerator and denominator

-2x/-2 = 4/-2

x = 4/-2

- Divide the numbers

x = 4/-2

x = -2

help pleaseeeeeeee this is harddddddddddddddddd

Answers

Answer:

Step-by-step explanation:

Question #1:

Area of a triangle = bh/2

A = (3)(6)/2 = 18/2 = 9 in²

Total A = 10 x area of a triangle

Total A = 10 x 9 = 90 in²

Question #2:

A = bh/2

Top 2 triangles: (20)(10)/2 x 2 = 200

Bottom 2 triangles: (20)(50)/2 x 2 = 1000

Total A = 1,200 in²

Question #3:

Total area = 2 triangles + 1 square

Triangle A: must find base

a² + b² = c²4² + b² = 6²b = √(36 - 16) = √20 = 2√5

Triangle A = bh/2 = (2√5)(4) = 8√5

Square A =  bh = (4)(?)

The last one is very hard, can't find the square's base. I hope the rest of my answers help though! Have a nice day!

What is 28.6 rounded to the nearest tenth ?

Answers

Answer: 28.6

Step-by-step explanation:

To round 28.6 to the nearest tenth consider the hundredths’ value of 28.6, which is 0 and equal or more than 5. Therefore, the tenths value of 28.6 increases by 1 to 7.28.6 rounded to the nearest tenth = 28.6 hope that helps

Help my sister please she needs help I don’t know because I forgot

Answers

Answer:

15 shrimps

Step-by-step explanation:

We already know that a small shrimp taco has 5 shrimps.

⇒ [tex]\text{1st equation: small shrimp taco = 5 shrimps}[/tex]

We also know that a large taco has 3 times more shrimps than a small taco.

⇒ [tex]\text{2nd equation: shrimps in a large taco = 3(Shrimps in a small taco)}[/tex]

Finding the number of shrimps in a large taco:

Now, simply substitute the number of shrimps in a small shrimp taco in the second equation to find the number of shrimps in a large taco.

⇒ [tex]\text{Shrimps in a large taco = 3(5) shrimps}[/tex]⇒ [tex]\boxed{\bold{\text{Shrimps in a large taco = 15 shrimps}}}[/tex]

Answer:

15 shrimp

Step-by-step explanation:

5 shrimp * 3 = 15shrimp

what does -2/3 + 1/6 =

please show work

Answers

Answer: negative 1 over 2

− 1/2

=negative 0.5−0.5

Reason why:

Step 1 of 2: Add.

Add

(negative 2 over 3 − 2/3) + 1 over 6

1/6

= negative 3 over 6 −3/6

Simplify

negative 3 over 6−

3

6

= negative 1 over 2−

1/2

Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.

Reduce fraction to lowest terms

negative 3 over 6 −3/6

= −( 3 ÷ 3 ) over ( 6 ÷ 3 )

3 ÷ 3 6 ÷ 3 = negative 1 over 2 −1/2

i need help on this badly

Answers

Answer:

shorter than, shorter than, will not

Step-by-step explanation:

First, we can find out the diagonal of the base of the box using Pythagoras' theory - a² + b² = c²

32² + 8² = 1088

c = √1088 = 32.984845

This means that the diagonal of the base of the box is shorter than the bat (32.984845 is less than 34)

Next, we can work out the interior diagonal, again using Pythagoras' theory - a² + b² = c²

32.984845² + 6² = 1124

c = √1124 = 33.52610923

This means that the length of the interior diagonal of the box is shorter than the bat (33.52610923 is less than 34)

Therefore, Julian's bat will not fit in the box.

Hope this helps!

In the graph the horizontal axis says “proportion of heads”. Write a more accurate label for these values in terms of babies and toy preference.

Answers

The more accurate label for the x-axis of the Histogram should be the proportion of babies who love toys.

What is the  Chart Label of an Axis in Statistics?

A chart label is a name given to the factors represented by the axis of a chart.

Typically, a chart has two axes. In some cases, three.

Regardless of the number of axes that a chart has, it is important to properly label them for purposes of comprehension and accurate representation of the data on them.

The referrenced chart is attached.

Learn more about Chart labels at:
https://brainly.com/question/5543915

Rebecca and Blake decide to roll a pair of fair 6-sided dice to determine who has to clean their dishes.
If the sum is 5 or 6, then Rebecca will clean the dishes.
If the sum is 8 or 9, then Blake will clean the dishes.
If the sum is anything else, they'll roll again.
Is this a fair way to decide who cleans the dishes? Why or why not?

Answers

Answer:

it's not fair

Step-by-step explanation:

... if Rebecca rolled the dice it's most likely going to give a 6 or a higher number if Blake rolled the same too would have happened thus it would be fair if the dice was 3 sided

Rebecca and Blake decide to roll a pair of fair 6-sided dice to determine who has to clean their dishes. If the sum is 5 or 6, then Rebecca will clean the dishes. If the sum is 8 or 9, then Blake will clean the dishes. If the sum is anything else, they'll roll again. This is a fair method of decision making by law of probability because both Rebecca and Blake are equally likely to wash the dishes.

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

Total number of observations in sample space when a pair of dice is rolled = 6² = 36

Number of observations where sum is 5 or 6 = 9

((1,4)(4,1)(2,3)(3,2)(1,5)(5,1)(4,2)(2,4)(3,3))

Probability that Rebecca will clean the dishes = 9/36 = 0.25

Number of observations where sum is 8 or 9 = 9

((2,6)(6,2)(3,5)(5,3)(4,4)(3,6)(6,3)(4,5)(5,4))

Probability that Blake will clean the dishes = 9/36 = 0.25

Since, the probabilities of Rebecca and Blake cleaning the dishes are equal, the method of decision making is fair.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ2

please help I'll mark branliest ​

Answers

The answer is (3,5) further explanation please ask

how do you do Mean Absolute Deviation with 35 42,41,32,30?

Answers

Answer:

The numbers added up together is 180, and divide 180 by 5 is 36.

1,6,5,4,6=22.

22/5=4.4

Step-by-step explanation:

You can look it online but as quoted,

"Take each number in the data set, subtract the mean, and take the absolute value. Then take the sum of the absolute values. Now compute the mean absolute deviation by dividing the sum above by the total number of values in the data set. Finally, round to the nearest tenth." -IXL

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