1. Grace was given the equation 2x + 20 = 15. She decides to add 10 to both sides of the equation. a.) Is that an acceptable move? b.) What would her new equation be?​

Answers

Answer 1

9514 1404 393

Answer:

yes2x +30 = 25

Step-by-step explanation:

Adding the same number to both sides of the equation is an acceptable move. The addition property of equality tells Grace that the value of the variable will remain unchanged by such a move.

Her new equation would be ...

  2x +20 +10 = 15 +10

  2x +30 = 25 . . . . the result of Grace's move

_____

Additional comment

There may be very good reasons why Grace would want to do that. If solving the equation is Grace's intent, that move would be counterproductive. For the purpose of solving the equation, it would be more productive to either subtract 20 from both sides, or divide both sides by 2. These steps would give, respectively, ...

  2x = -5

  x +10 = 7.5


Related Questions

if m equals x plus 4 squared and x equals -1 then m equals what​

Answers

Answer:

15?

Step-by-step explanation:

3+1905=x . .......................

Answers

Answer:x = 1908Hope this helps!!

Heelllllppppppppp me please in neeeeed

Answers

1 is b, 2 is d, 3 is e, 4 is c, 5 is a

Solve the formula C = ud for d

Answers

Answer:

C/u = d

Step-by-step explanation:

Divide u in both sides

Answer:

if you meant rearrange then:

c=ud

divide both sides by u to get d on its own:

c/u=d

orrrr d=c/u

What is 65658 divided by 706? SHOW YOUR WORK!!

Answers

Answer:

the answer is 93

Step-by-step explanation:

i dont know how to explain it but just use a calculator.

A is what percent of B?

A = 8 oz, B = 1.5 lb

Plz help fast. its ok if u cant but help plz

Answers

Answer:

%33.33

Step-by-step explanation:

start by converting the 1.5 lbs into oz. 16 oz go into one pound.

since .5 is equivalent to one half, divide 16 in two to get 8 and then add 8 to 16.

You should get that 1.5 lbs = 24 oz

now divide 24 by 8

24/8 = 3

this shows that 8 goes into 24 three times. If three eights go into 24, then three ones go into 3. You can use this information to make a simplified fraction which is easy to convert over to a percent.

1/3

an last but not least, convert it to a percent

1/3 = %33.33

i hope this helped! i'm bad at explaining things so sorry if it's hard to understand lol

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

If A = 8 oz and B = 1.5 lb

A is 33.33% of B

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

A = 8 oz

B = 1.5 lb

We know that,

1 lb = 16 oz

So,

A = 8 oz

B = 1.5 x 16 oz

B = 24 oz

Now,

Finding the percentage of A.

= 8/24 x 100

= 800/24

= 33.33%

Thus,

If A = 8 oz and B = 1.5 lb

A is 33.33% of B

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ2

The equivalent ratios show how many teaspoons there are in 5 cups. What method can be used to convert 1 cup to teaspoons? multiply 1,200 by 5 divide 1,200 by 5 multiply 5 by 1 divide 5 by 1,200

Answers

The correct answer is Option B.

Divide 1,200 by 5.

What is equivalent ratio?Equivalent ratios are those that are the same when compared. Two or more ratios can be compared to determine whether or not they are equivalent.Equivalent ratios are two ratios that have the same value. Multiply or divide both quantities by the same number to find an equivalent ratio. It is the same as determining equivalent fractions. Equivalent equations are algebraic equations with the same solution or root. An equivalent equation is created by adding or subtracting the same number or expression from both sides of an equation.

Here = 1200tsp / 5c = ?tsp/1c

        = 1200 / 5

       = 240 tsp

To learn more about equivalent ratio refer to :

https://brainly.com/question/2914376

#SPJ1

help needed due today

Answers

Answer:

1 1/4 inches deeper

Step-by-step explanation:

Sidh is making fruit salad. His recipe calls for 3/4 pound of watermelon. He wants
to make 1/2 of the amount of fruit salad in the recipe. How much watermelon does Sidh need?

Answers

Answer:

3/8

Step-by-step explanation:

3/4 x 1/2 = 3/8

last time seeing ya'll this was so nice to have people help me it has been a trip now the trip ends early these are my last words i hate bots

Answers

Answer:

I also play among us..........

Answer:

oh..okay.....bye then...

Step-by-step explanation:

How do I factor this?

Answers

24m⁴n - 12m³n - 12m²n

Factor out 12m²n from the expression:

12m²n(2m² - m - 1)

Write -m as a difference:

12m²n(2m² + m - 2m - 1)

Factor out m from the expression:

12m²n(m(2m + 1) - 2m - 1)

Factor out the negative sign from the expression:

12m²n(m(2m + 1) - (2m + 1))

Factor out 2m + 1 from the expression which gives us the final answer of:

12m²n(2m + 1)(m - 1)

I hope this helped you and if you need me to explain something further or if you have any questions just ask!

(If I did help you I would greatly appreciate a thanks, or if I REALLY helped you a Brainliest would be amazing!)
Yeah the person who answered above me definitely deserves brainliest

The formula for the volume of a right triangular pyramid is V = 1/6 bhx, where b is the base of the triangle, h is the height of the triangle, and x is the height of the pyramid. Solve for X.

Answers

Answer: x = 6V/bh

Explanation:

V = 1/6 bhx
V = (bh/6)x
V • 6/bh = x
6V/bh = x

Andrea has 8 books on her summer reading list . She has read 5 out of the 8 books.what percent does she have left to read! Pls help ASAP!!

Answers

Answer:

3 percent because 8-5=3

Step-by-step explanation:

Answer:

37.5%

Step-by-step explanation:

Find the sum of the two polynomials (2x7−5x6−7x5+8)+(9x7−2x6−2x5−7)

Answers

Here you go! Hope this helps

-413.4=-15.9n please help

Answers

Answer:

[tex]\boxed {n = 26}[/tex]

Step-by-step explanation:

Solve for [tex]n[/tex]:

[tex]-413.4 = -15.9n[/tex]

-Switch sides:

[tex]-15.9n = -413.4[/tex]

-Divide both sides by [tex]15.9[/tex] and expand by multiplying both numerator and denominator by [tex]10[/tex]:

[tex]\frac{-15.9n}{-15.9} = \frac{-413.4}{-15.9}[/tex]

[tex]n = \frac{-4134}{-159}[/tex]

-Divide [tex]-4134[/tex] and [tex]-159[/tex]:

[tex]n = \frac{-4134}{-159}[/tex]

[tex]\boxed {n = 26}[/tex]

Therefore, the value of [tex]n[/tex] is [tex]26[/tex].

At a grocery store, the price of $3$ cans of soup is $\$6.90$ . At this rate, how much would $10$ cans of soup cost?

Answers

Answer:

23

Step-by-step explanation:

First, you have to divide 10 by 3, which is 3.333... or 3.3. Now you have to multiply that by $6.90. $6.90 x 3.3=22.77. 22.77 rounded to the nearest tenth is 23, so 23 would be your answer. It can aslo be shown as $3 over $6.90, and 10 over x.

show that (x+5)(x+4)(x+3) = x^3+12x^2+47x+60

Answers

Answer:

g

Step-by-step explanation:

Answer:

its 543

Step-by-step explanation:

Math

Rita teils John that since line p is parallel to line q, he can determine the measure of <1 by drawing a line in the diagram shown


What is the measure of <1 in degrees

Answers

Answer: A measure of one degree ( 1 ° ) is equivalent to a rotation of 1 360 of a complete revolution. To measure angles, it is convenient to mark degrees on the circumference of a circle .

Find the area of the shaded region

Answers

Answer: To find the area of the shaded region :

Calculate the area of both shapes. The area of a rectangle is determined by multiplying its length times its width. The area of a circle is Pi (i.e., 3.14) times the square of the radius. Find the area of the shaded region by subtracting the area of the small shape from the area of the larger shape.

Step-by-step explanation: I cannot see the picture to answer your question but I hope this helps you find put your answer. :)

Answer:

13

Step-by-step explanation:

Start with the smaller sqaure without the x varible which is 7 x 3 = 21

Then the larger square without the varible, 8 x 4 = 32

Now we subtract 21 from 34 and get 13.

So the area for the shaded region should be 13

Select The correct Description giving brainliest:)

Answers

Answer:

D. The quotient of a difference and a number

Step-by-step explanation:

its the only one that makes sense since you are getting the quotient and the sum in the equation. hope this helped!:)

Answer:

C!!!!

Step-by-step explanation:

HELP EMERGENCY!!!!!! What is the equation of the line?
Y=3x-1
Y=-3x
Y=3x+1
Y=3x

Answers

Answer:

By process of elimination, we can eliminate:

A: y = 3x - 1C: y = 3x + 1B: y = -3x

A and C don't work because the given line has it's y-intercept at the origin, therefore, no y-intercept is written. B is not it either because the line does not go down from left to right, therefore, the slope is not negative.

The answer is D: y = 3x because since the line goes up from left to right, the slope is positive, and the y-intercept is the origin, so the equation will have no b.

Write T times B times 3 as an expression

Answers

Answer:

[tex]3 (t * b)[/tex]

Step-by-step explanation:

Txbx3 expand-

3 (t * b)

*= times btw

In a recent survey of 288 people, 72 said that their favorite color of car was white. What percent of the people surveyed liked white cars?

Answers

if you translate this problem literally, it is saying, “72 is what percent of 288?”. And the equational translation of that is 72 = (x/100) • 288
[ “is” means equal to (=) // “what” means x or another variable // “percent” means divided by 100” // “of” means multiplication. ]
Then you solve that equation.
(you can check it by googling what is 25% of 288. )

Based on the number of people who were surveyed in total and the number of people who had their favorite car as white, the percentage is 25%.

There were 288 people surveyed. 72 people preferred a white car color out of all these. The percent is:

= Number if people who prefer white / Number of people surveyed x 100%

Solving gives:

= 72 / 288 x 100%

= 0.25 x 100%

= 25%

In conclusion, the percent of people who liked white cars was 25%.

Find out more at https://brainly.com/question/2659183.

Kyra is participating in a fundraiser walk-a-thon. She walks 2 miles in 30 minutes. If she continues to walk at the same rate, determine how many minutes it will take her to walk 7 miles. Do not include units (min) in your answer.

Answers

Answer:

105

Step-by-step explanation:

105

105. The average per mile is 15min. 15x7 is 105

product of (x + 5)(x + 2)

Answers

Answer:

x^2+7x+10

Step-by-step explanation:

x×x=x^2

5×x=5x

2×x=2x

5x+2x=7x

5×2=10

Determine an expression for dy
dx given that x = sin3
(t)andy = cos3
(t)

Answers

Answer:

[tex]\frac{dy}{dx} =-\sqrt[3]{\frac{y}{x} }[/tex]

Step-by-step explanation:

Recall that using the chain rule we can state:

[tex]\frac{dy}{dt} =\frac{dy}{dx}*\frac{dx}{dt}[/tex]

and therefore solve for dy/dx as long as dx/dt is different from zero.

Then we find dy/dt  and dx/dt,

Given that

[tex]x=sin^3(t)\\dx/dt = 3 sin^2(t)* cos(t)[/tex]

And similarly:

[tex]y=cos^3(t)\\dy/dt=-3\,cos^2(t)*sin(t)[/tex]

Therefore, dy/dx can be determined by the quotient of the expressions we just found:

[tex]\frac{dy}{dx} =\frac{dy/dt}{dx/dt} =\frac{-3\,cos^2(t)*sin(t)}{3\,sin^2(t)*cos(t)} =-\frac{cos(t)}{sin(t)}[/tex]

now notice that we can find   [tex]cos(t) = \sqrt[3]{y}[/tex]  from the expression for y,

and   [tex]sin(t) = \sqrt[3]{x}[/tex]  from its expression for x.

Therefore dy/dx can be written in terms of x and y as:

[tex]\frac{dy}{dx} =-\frac{cos(t)}{sin(t)}=-\sqrt[3]{\frac{y}{x} }[/tex]

HELP FOR 40 POINTS PLEASE AND BRAINLIST

Yen paid $10.50 for 2.5 pounds of pretzels. What price did she pay for each pound of pretzels?

After dividing 25 into 105, the next step is to
25 by 4.
The next step is to
100 from 105.
The next step is to
the next number.

Answers

Answer:

the price of each pound of pretzels is 4.20

Step-by-step explanation

1 pound · [tex]\frac{10.50}{2.5 pound} = 4.20$\\[/tex]

Answer:After dividing 25 into 105, the next step is to

25 by 4.

The next step is to

100 from 105.

The next step is to

the next number.

Step-by-step explanation:

For f(x) = 2x + 1 find each value.
f(6)
f(3)
f(−5)

Answers

f(6) = 2(6) + 1
= 12 +1
= 13

f(3) = 2(3) + 1
= 6 + 1
= 7

f(-5) = 2(-5) + 1
= -10 + 1
= -9

Pls help, the question is in the photo.

Answers

it’s B. the answer is 10x+40 and that is just the answer in shorter format.

2/3-×+3/×+3=6x/x2-9​

Answers

hi there! if you're asking us to simplify this equation, here is my answer for you...

Answer:

x = 2.09716754…

hope this helped. have a good one!

Other Questions
5. The population pyramid shown below is for Russia. What could account for the deficit of men in the cohorts over the age of 70?A decrease in the working-age populationThe demographic after-effects of World War IIA lower-than-normal birth rate in the Soviet UnionA government campaign to reduce births in the Soviet UnionThe use of contraceptives to control population for the Soviet Union A student entering high school is pursuing STEM education. What can you infer about this student? What will happen if we increase the friction on a roller coaster?A. The speed of the roller coaster will increase.B. The speed of the roller coaster will decreaseC. The speed of the roller coaster will remain constant.D. The roller coaster will fly away Which sentence describes the most important detail about the setting of Roll of Thunder, Hear My Cry?A.Cassie grows bored as Mrs. Crocker reads the days lesson.B.Cassie and her brothers race home where Big Ma and Mama are waiting.C.Rain begins to fall heavily on the once-dusty road to school.D.A Mississippi flag hangs abovenot belowthe American flag. The amplitude of a wave is related to the energy of a wave. How could you demonstrate this relationship between energy and wave The figure in this imagen was reflecting Please write in python:Week 1 (Print menu and take a selection)At program start, you will print a menu with the contents of your vending machine.Customize your own vending machine with items of your interestYour vending machine should have at least 5 itemsAccept items to be purchased, or until a sentinel value is entered.Print the selected item after each selection.Week 2 (Take many selections, calculate total, and accept payment)Extend your code to allow users to repeatedly select items for purchase and keep a running subtotalYour menu should contain a sentinel value for the user to select checkout as an option to finish shopping.Check that the selection entered is an option of the menu. If not, then print an error message and start over requesting a new selection or to quit.Calculate amount due with subtotal + sales tax (for your state). Accept payment in whole dollarsFollowing the deposit (payment), calculate change due (difference between payment and amount due)Week 3 (Dispense change)Extend your code to determine the dollars and coins to be dispensed from the change due or as a refund. This calculation will depend on the payment accepted. For example, if the user selected items totaling $10.35 and they only deposit $7.00, they have provided insufficient payment.Check that the payment received is greater than or equal to the amount due. If the payment is less than the amount due, then print an error message and prompt the user to enter sufficient funds. If the payment is equal to the amount due, then print a message saying No change due.Print the number of dollars and coins to be dispensed and their denominations.Week 4 (Incorporating functions)Extend your code to include the following functions,print_menu(): non-value returning function to print out the menu at the start of the program and after each item for purchase is chosen. This menu should contain a sentinel for the user to checkout when the user is finished selecting items.calculate_total(new_item): a value returning function to add up the cost of the item selected.make_change(change_due): (previous lab assignment): Calculate the users change (Here is your change: ) in dollars and coins and print a closing message (Have a great day).amount_due(total_price): a value returning function that prints a subtotal and final total that includes sales tax (for your state) added to the total. This function will also require the user to input a whole dollar amount for payment and return the amount of change due and should prompt the user to retry if too little cash is paid.Write a program that reads a list of integers into a list as long as the integers are greater than zero, then output the smallest and largest integers in the list. Aicha has 36 dress. She completes 1/2 of the dresses in 3/4 of an hour.If she continues at this rate what fraction of the dresses will she complete in one hour? What resulted from intermarriage between American Indians and European settlers? American Indians voluntarily converted to Christianity. European settlers declared war against American Indians. American Indians became more violent toward European settlers. European settlers allowed American Indians to keep their own faith. The process in which proteins are made is called protein plz help!!! tell whether each statement is true or false1. m + 15c + (-3m) - 4 simplifies to 8mc2. 30x + 9 + 9m + 14x - 3m simplifies to 34x + 9 + 6m3. 6 + 4m - 17g + 6m + 3g simplifies to 6 + 10m - 14g4. 17 + 6y - 10 + m + 7m simplifies to 27 + 6y + 8m5. -j + 10s - j + 12 - 8s simplifies to -2j + 2s + 12 Replace the blanks with the verbs above. Please I MARK BRAINLIEST :DYou sit in a swivel chair with your arms out and feet off the floor and you twist your torso and the chair moves. Which law of motion is this? Michael has 27 baseball cards, 9 football cards and 6 basketball cards. What is the greatest number of friends he can give the cards to so that each friend receives the same number of baseball, football, and basketball cards and he gives all the cards away? who plays adopt me on rob.lox!! plz answer people only if you play though tell me your best pet and your user name so we can play!! Stacy wants oil for the cake pops and cupcakes for her birthday party. She needs 1/2 of a cup of vegetable oil for the cake pops and 1.5 times as much oil for the cupcakes. If Stacy has 2 1/2 cups of vegetable oil, how much will she have left over after she makes the cake pops and cupcakes ___________ is a share of ownership in a business or company. Carlos y yo _____(alquilar) unos esqus acuticos. * alquile alquilamos alquilaste alquilaron GUYS HALP MEH WITH MATH!!! Will give brainliest if correct.