Mathematics Middle School

EXPLAIN YOUR ANSWER

5.
A set of equations is given below:

Equation A: c = 2d + 1
Equation B: c = 3d + 5

Which of the following is a step that can be used to find the solution to the set of equations? (5 points)



2d + 1 = 3d + 5
2d = 3d + 5
2d + 1 = 3d
2d + 5 = 3d + 1

Answers

Answer 1
Equation A: c=2d+1
Equation B: c=3d+5
2d+1=3d+5
-3d -3d
(subtract three to both sides)
-1d+1=5
-1 -1
(Subtract one to both sides)
-1d=4
(Divide negative one to both sides)
Answer:
d=-4
Answer 2

Answer:

The correct answer is 1. 2d + 1 = 3d + 5

Step-by-step explanation:

Related Questions

Every 4th visitor to a museum gets a free bumper sticker.Every 10th visitor to that museum gets a free key chain.Which visitor number will be the first person to get them both bumper sticker and keychain.

Answers

The 20th visitor. 20 is divisible by 10 and by 4. Therefore you'd be the 4th visitor and the 10th visitor.

So the first person to get both rewards would be the 20th visitor

I CANT FIGURE OUT HELP ME!!! SOLVE FOR W: −(14w+8)+8=3

IM GIVING MAX POINTS I CAN!!!!!

Answers

Here are some things you should know when solving algebraic equations.

If you add an expression to both sides of an equation, the resulting equation will have the same solution set as the original equation. In other words, they will be equivalent. This is true for all operations. As long both sides are treated the same, the equation will stay balanced.

You will also need to know how to combine like terms. But what are like terms to begin with? Like terms are defined as two terms having the same variable(s) (or lack thereof) and are raised to the same power. In mathematics, something raised to the first power stays the same. So, 5x and 10x are like terms because they both have the same variable and are raised to the first power. You don’t see the exponents because it doesn’t change the value of the terms.

To combine like terms, simplify add the coefficients and keep the common variable(s) and exponent.

The distributive property is another important rule you will need to understand. The distributive property is used mostly for simplifying parentheses in expressions/equations. 
For example, how would you get rid of the parentheses here?

6(x + 1)

If there wasn’t an unknown in between the parentheses, you could just add then multiply. That is what the distributive property solves.

The distributive property states that a(b + c) = ab + ac
So, now we can simplify our expression.
6(x + 1) = 6x + 6
Now let's solve the equation you provided.

−(1\4w+8) + 8 = 3
-1\4w - 8 + 8 = 3 <-- Distribute the negative sign
-1\4w = 3 <-- Combine like terms
w = 3 ÷ [tex] -\frac{1}{4}[/tex]
w = -12

So, w is equal to -12.
-12 is the answer!
BOOM! lol

Algebra 1: Consecutive Integers
If the sum of the first two consecutive even integers is equal to three times the third what are the three integers

Answers

x equals the smallest. x+2 equals the next largest and x+4 equals the third largest.

x+(x+2)= 3(x+4)
2x+2= 3x+12
2x= 3x+10
-x=10
x=-10

Final answer: -10, -8, -6

Kofi is one of the best baseball players in his league. His last three pitches have been clocked at 71.025 mph, 72.35 mph, and 71.95 mph. What is the difference between the fastest and slowest pitches that were clocked?

Answers

You would subtract 72.35 minus 71.025
The fastest pitch was 72.35 and the slowest was 71.025, the difference between these two is 72.35-71.025 which is 1.325 mph

Pls help
Simplify
6m+ 7n+ 5m - 3n

Answers

6m+ 7n+ 5m - 3n
(6m + 5m) + (7n - 3n)
11m + 4n  ←  answer
6m + 7n + 5m - 3n
Do the 6m and 5m first. Add them together.
6m + 5m = 11m

Now subtract -3n from 7n.
7n - 3n = 4n

11m + 4n is simplified.

Evaluate A2 for A = -3.

-9
-6
6
9

Answers

A^2

-3^2 = 9

 the answer is 9

if sin q = 4/5, cos p + cos q =?

Answers

Sent a pic for you to see how I got the answer.

A machine produces 75 widgets an hour. How many widgets does it produce in 6 minutes

Answers

The answer is 12.5 because 75 divided by 6 is 12.5
The machine produces 7.5 widgets in 6min.

75 widgets/hr
60min = 1hr

75/60=1.25 so 1.25 widgets/min

1.25•6=7.5 widgets/6min.

What is the equation of the line perpendicular to the line y=4/9x-2 that passes through the line 4,3

Answers

Y=-9/4x-3 (the slope to a perpendicular pair is the reciprocal of the opposite)

Given

The line equation is        

[tex]y= \frac{4}{9}x-2[/tex]

passes through the line (4,3 )

Find out the equation of the perpendicular line.

To proof

given equation is

 [tex]y= \frac{4}{9}x-2[/tex]

the equation of line is in the form y = mx +c

where m = slope

           c is the intercept on the y axis.

compare this equation to the above equation

we get

[tex]m =\frac{4}{9}[/tex]

In perpendicular line case

The slope of a perpendicular line is the "negative reciprocal" of the slope of the original line.

thus slope of the perpendicular line

= [tex]\frac{-9}{4}[/tex]

Than equation perpendicular line becomes

[tex]y= \frac{-9}{4}x + c[/tex]

as the line passes through the point( 4,3)

put these value in the above equation

we get

[tex]3= \frac{-9}{4}\times 4 + c[/tex]

solving the above equation

3 +9 =c

12 =c

put this value in the above equation

we get

[tex]y= \frac{-9}{4}\times x + 12[/tex]

this is equation of the perpendicular line.

Hence proved



draw a 150 degree angle

Answers

The attachment shows such an angle.

Write this number in standard form 12 ten thousands, 8 thousands, 14, 7 ones

Answers

12 thousands = 12,000
8 thousands =8,000
14 hundreds = 140
7 ones = 7
12,000 + 8,000 + 140 + 7
Standard form = 20,147

The number composed of 12 ten thousands, 8 thousands, 14 tens, and 7 ones is written in standard form as 128,147.

To write the number consisting of 12 ten thousands, 8 thousands, 14, and 7 ones in standard form, each element must be placed according to its value in our base-ten number system. First, we note that 14 needs to be broken down into 'tens' and 'ones' as well.

12 ten thousands = 12 times 10,000

8 thousands = 8 times 1,000

14 tens = 14 times 10

7 ones = 7 times 1

Next, we translate these values into their numeral counterparts:

12 ten thousands = 120,000

8 thousands = 8,000

14 tens = 140

7 ones = 7

Now we simply add these numbers together:

120,000 + 8,000 + 140 + 7 = 128,147

The number 12 ten thousands, 8 thousands, 14 tens, and 7 ones written in standard form is 128,147.

What is 855,000 in scientific notation

Answers

8.55 x 10^5

you want your scientific notation number in between 1 and 10 !!!
Step ONE: Move the decimal place to the left to create a new number from 1 up to 10.
- Where’s the decimal point in 312,000,000,000? Because it’s a whole number, the decimal point is understood to be at the end of the number: 312,000,000,000.
So, N = 3.12.

Step TWO: Determine the exponent, which is the number of times you moved the decimal.
-In this example, you moved the decimal 11 times; also, because you moved the decimal to the left, the exponent is positive. Therefore, a = 11, and so you get

Step THREE: Put the number in the correct form for scientific notation

the number 80 is increased by 50​%. The result is then decreased by 25​%. What is the final​ number?

Answers

The answer would be 90
39.75, you get that by increasing 80 by 50%, which is 80•0.50 the you put subtract 0.25.
So your awnser is 39.75

When you write a deposit slip, you put the cash and the checks in the same section True or False

Answers

False They have a check place and cash place
The answer is false because you're writing a check which isnt cash

how to convert unit rates

Answers

When you talk about the speed of a car, you usually say something in miles per hour. For example, you say, 'I drove 40 miles per hour.' Normally, you don't say, 'I drove 120 miles per 3 hours.' Figure out how to convert a rate like 120 miles per 3 hours to theunit rate of 40 miles per hour by watching this tutorial.

a 7/16 inch bolt is used in a machine . what is the length of the bolt writtin as a decimal?

Answers

In decimal form it is .4375

why is scientific notation useful? how is scientific notation used in the real world?

Answers

It is useful because there are some numbers that are either way too small or way too big to write out in standard form.And I don’t know the second part.Hope that helps!!
Scientific Notation is so useful is so many ways!!!!
It makes it easier to deal with because the long numbers are converted into smaller numbers. Like for example, 0.000000000000000000000000000000000000000000045 is converted into 4.5*10^44. Isn't that MUCH MORE simpler?!?!??!
It is also used to find masses, for example, like some metals or substances that have a really smaller mass. 


A ship is 2.2° off course. If the ship is traveling at 18.0 miles per hour, how far off course will it be after 5 hours?

Answers

___x____
\             |
  \           |
     \        |   y
 18  \      |
         \    |
           \ *|---2.2 °

This is a vector problem. The distance of drift is in x (horizontal axis). 
remember that Sin Ф=opposite/hypotenuse. x represents the opposite side form the angle, and 18 is the hypotenuse.
Sin 2.2°=x/18
18 sin 2.2°=x
.691 ≈x

The ship drifts off course .691 miles every hour. .691 x 5 = 5.69 miles after 5 hours.



Final answer:

To determine how far off course a ship will be after 5 hours traveling at 18.0 mph and being 2.2° off course, use the formula: Distance off course = 18.0 mph x 5 hours x sin(2.2°). This results in the ship being approximately 3.45 miles off course after 5 hours.

Explanation:

To calculate how far off course the ship will be after 5 hours, we first need to find the distance the ship travels while off course.

Distance off course = 18.0 mph x 5 hours x sin(2.2°).

Distance off course ≈ 3.45 miles.

After 3.5 hours pasha had traveled to 17 miles if she travels at a constant speed how far will she have traveled after four hours

Answers

Since we want to know how far she goes every hour to multiply that by 4 to get how far she goes in 4 hours, we do 17/3.5 to get per hour miles = around 4.86. Multiply that by 4 to get around 19.43 miles

Describe how to write an equivalent ratio for 9/27 without using a multiplication table

Answers

We can divide. 9 Goes into 27 3 times so:

9/27 = 1/3

Hope this helped!

if x = -6, which inequality is true, -5 - 3x > 10, -3 - 5x < -14 or 2-x < -3?

Answers

if x = -6
we can subtitution x to every inequality, so :
-5 - 3x > 10
-5 - 3(-6) > 10
-5 - (-18) > 10
-5 + 18 > 10
13 > 10 [true]

-3 - 5x < -14
-3 - 5(-6) < -14
-3 - (-30) < -14
-3 + 30 < -14
27 < -14 [false]

2 - x < -3
2 - (-6) < -3
2 + 6 < -3
8 < -3 [false]

So if x=-6, inequality true is -5 - 3x > 10.

Divide 28 cans of soda into two groups so the ratio is 3 to 4.

Answers

28 cans of soda into 2 groups in which the ratio is 3:4

3 x 4 = 12
4 x 4 = 16
12 + 16 = 28

you will put 12 cans in one group and 16 cans in another group

hope this helps

what is the answer to the equation -7+x=6x-12 ?

Answers

-7 + x = 6x - 12

-7 +12 = 6x - x

5 = 5x

x = 1

hope this helps
-7+x=6x-12
-x -x
-7=5x-12
+12 +12

5=5x
X=1

how do u find the answer a simpler way

Answers

Because the base, 8 is the same, we can cancel out the exponents.

8^-4/8^-2= 8^-2

8^-2= 1/8^2

1/8^2=1/64

Final answer: 1/64

What is 1,995298 to the nearest 1,0000

Answers

1,995,298 rounded to the nearest 10,000 is 2,000,000

hope this helps

how can I turn a parabola into an equation? (please be specific)

Answers

Given y = ax2 + bx + c , we have to go through the following steps to find the points and shape of any parabola:Label a, b, and c.Decide the direction of the paraola:Find the x-intercepts:Find the y-intercept:Find the vertex (h,k):Plot the points and graph the parabola.

he earns $7 a week for each cat he feeds and $0.20for each email he answers. Marcus answered 140 emails and earned $49 last week. create an equation that will determine the number of cats he fed

Answers

3 cats! 
140x0.020= 28
7x3=21
28+21=49
bam hope i helped :)

Ally works in a shop for $18 per hour dependent

Answers

Independent is hour
Dependent is her rate ($18) because it DEPENDS on how long she works

Final answer:

Explanation of independent and dependent variables in a linear equation

Explanation:

Independent variable: The hours worked by Ethan (x).

Dependent variable: Total amount earned (y).

Y-intercept: $25, this represents the initial charge even if no hours are worked.

Slope: $20, this represents the additional amount earned per hour of work.

The question about Ally working in a shop for $18 per hour relates to wage determination and labor economics within the field of Business. Discussions surrounding hourly wages, annual salaries, and job requirements touch upon various economic principles.

PLEASE HELP- Anna has 10 tee shirts and 7 pairs of shorts that she either wears with sandals or sneakers if all the colors and patterns coordinate, how many different outfits can Anna make?


THANK YOU!!

Answers

Anna can make about 6 different outfits

apply the rules for order of operstions to simplify 2 + 3 - 4 (5 × 4)

Answers

Just use PEMDAS 
2+3-4 (5x4) 

Parenthesis
Exponents 
Multiplication
Division
Addition 
Subtraction    So first is Parenthesis 5x4=20 next will be Addition because there are no exponents 2+3= 5-4= 1 so now we go back to multiplication 20 x 1= 20 so 20 is your answer. 

Hope I helped out ^^

Final answer:

To simplify the expression, follow the order of operations: first perform the multiplication inside the parentheses, then multiply that result, and finally subtract it from the sum of 2 and 3. The expression simplifies to -75.

Explanation:

To simplify the mathematical expression 2 + 3 - 4 (5 × 4) we must apply the rules of order of operations, commonly remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Multiplication inside the parentheses: 5 × 4 = 20

Multiply 4 by the result of the previous step: 4 × 20 = 80

Subtract this result from the sum of 2 and 3: (2 + 3) - 80 = 5 - 80 = -75

Therefore, the expression simplifies to -75.

Remember that in subtraction, you change the sign of the number being subtracted, and then follow the rules of addition: e.g., 5 - 3 becomes 5 + (-3) = 2. Similarly, when two numbers with opposite signs multiply, the result has a negative sign: e.g., (-3) × 2 = -6.

Other Questions
How do you write these as an algebraic expression? A plumber finished there jobs on Tuesday. The first two only cost the owner the $45 trip fee because they book very little to complete. For the third job, the plumber charged the trip fee plus 6 times his hourly rate. If the plumber received a total of $303 for the day, what is the hourly rate does mold produce a toxin to kill bacteria? Or does mold prevent the growth of bacteria on a petri dish? Is 2.22 irrational or rational? Simplify (-5) + (-2) - (-7) - (+9) The value of the electrical charge on particles is never a whole number true or false On a town map, each unit of the coordinate plane represents 1 mile. three branches of a bank are located at a(3, 1), b(2, 4), and c(4, 2). a bank employee drives from branch a to branch b and then drives halfway to branch c before getting stuck in traffic. what is the minimum total distance the employee may have driven before getting stuck in traffic? round to the nearest tenth of a mile if necessary. answer The average value of a given set of data is the mode.True or False Most ovarian cysts are small and do not cause any symptoms. a. True b. False Which bed describes the tone shared by a psalm of life and auspex -mournful-energetic -serious -regretful What is 673,432 round to the the thousand The Centers for Medicare and Medicaid Services abbreviates ICD-10-CM and ICD-10PCS as 34 POINTS Someone please help me all i need is the answers please answer like thisfor example lets says the answer for number one is 5 please write 1\ 5PLEASE ANSWER ALL 1-13 I DO NOT NEED WORK JUST ANSWERS you must rewrite into numbers for example 5 less then 50write: 3\ 5-50 (INSERT ANSWER HERE) Choose elements that classify the iroquois constitution as a primary-source document. While examining a specimen under the microscope, Janet discovers a structure that has some genetic material that has RNA but not DNA. What is the specimen? How is genital herpes transmitted Which of the following would be a duty of an instructional teacher aide?A. Perform all his or her duties outside of the classroomB. Monitor small groups of students, teach (under supervision), and do clerical workC. Care for sick children and clean the floorsD. Supervise children during recess and field trips Read the scenario below and answer the question that follows. For history class, Marlena is writing a paper on President Andrew Jacksons treatment of minorities, namely African Americans and Native Americans. During her research, she finds the archived journal of one of his numerous, African American slaves on his Tennessee plantation. It talks about daily life as a servant and does not speak highly of President Jackson. What challenges would a researcher consider when deciding to use this source? If m is the midpoint of XY find the coordinates of x if M(-3, -1) and Y(-8, 6) Anybody knows this one Steam Workshop Downloader