Which is a correct first step in solving 5 - 2x < 8x - 3?
5 < 6x-3
3x < 8x - 3
5 < 10x - 3
2 - 2x < 8x

Answers

Answer 1

Answer:

5< 10x -3

add like terms first

make sure X's are on one side and numbers on the other

Answer 2

Answer:

5  < 10x - 3

Step-by-step explanation:

5 - 2x < 8x - 3?

Add 2x to each side

5 - 2x+2x < 8x - 3+2x

5  < 10x - 3


Related Questions


Martin rolls a 3 on a die. He rolls again and gets a 4. This situation describes
a simple event.
A. True
B. False

Answers

Answer:

B

Step-by-step explanation:

Rolling dice is simple, but it definitely isn't an event.

What is the domain of f(x) = 2|x − 1| + 3? A. {x | x ≥ 3} B. {x | x < 1} C. {x | x ≤ -1} D. {x | x = all real numbers}

Answers

Answer:

all real numbers

Step-by-step explanation:

f(x) = 2|x − 1| + 3

The domain is what values can we put in for x

There is no limit to what we can put in for x

therefore the domain is all real numbers

in a Gallup youth survey done in 2000, 501 randomly selected American teenagers were asked how well they get along with their parents. A survey result was that of 270 teenagers said they get along "very well" with their parents. Use this to estimate the proportion who would say they got along "very well" with their parents, including a margin of error. ​

Answers

The margin of error would be 1 / √n, where n is the number of students asked.

Margin of error = 1/√501 = 0.0446

Multiply by 100 to change to a percent:

0.446 x 100 = 4.46%

Rounding may be off slighly, so it looks like b would be the correct answer.

PLEASE HELP ASAP!!!
How is solving addition and subtraction equations similar to and different from solving multiplication and division equations?

Answers

Answer:

Here is what I think:

Addition and Multiplication are very similar. Multiplication is just repeated addition. If you do 3*2 its just adding 3, 2 times to each-other. The same goes for division. Its repeated subtraction. 15/3 If you subtract 3 from 15 how many times can you do it. There are also differences though. Multiplication is usually used to calculate different things though. It can calculate area and volume while addition usually doesn't. Division is used to find how much of something can fit into something. But subtraction usually is only used for subtracting other things. Those are similar things and different things for this.

Judging from past basketball games, the probability that you make a free throw is 4/5. If you get 220 attempts this season, how many free throws can you expect to make?

Answers

Answer: 176 free throws

Step-by-step explanation: 4/5 = 80% 80% of 220 = 176

Lowe Senior High School’s hockey team won 12, lost 5, and tied 3 of their first 20 games this season. Which outcome is most likely for the team’s next game? Explain your reasoning. 30 points!!

Answers

they would most likely win because they already won 12/20 so that is the strongest outcome

£880 is divided between Jim, Krutika & Natasha so that Jim gets twice as much as Krutika, and Krutika gets three times as much as Natasha. How much does Krutika get?

Answers

Answer:

264 pounds

Step-by-step explanation:

Write the question in the form of a ratio:

Natasha: Krutika: Jim

1:3:6

Now, we divide the amount of 880 in the ratio.

there are 10 parts in total.

1 part = 880 divided by 10 = 88.

since Krutika gets 3 parts, she gets 88 x 3 = 264

Katie went out for dinner with her friends and left a 17% tip. If B represents the bill, an expression that represents the total bill she will pay is 0.83b

Answers

Answer:

1.17B

Step-by-step explanation:

Katie and her friends will pay 17% of the bill, B.

Therefore, we have to add 17% of B to B to find how much they will pay:

17/100 * B = 0.17B

Therefore, the total bill will be:

Bill + tip

= B + 0.17B = 1.17B

The expression that represents the total bill they will pay is 1.17B

For the dilation with center (0, 0) shown on the graph, your friend says the scale factor is 4.
Is your friend correct or no? If he is incorrect, What is the correct scale factor? and what mistake did he likely make?

Answers

Yu is a hdyduriwiwiriri

Which of the following quadrilaterals have diagonals that bisect each other?
Check all that apply.

Answers

Answer:

All A. B. C. D.

Step-by-step explanation:

A B C D are all the correct answers

¯\_(ツ)_/¯

Draw the line with equation x+y=2

Answers

Answer:

Arrange the variables to y intercept form: y=-x+2. We have the slope is -1, and the y intercept is 2. You should be able to draw a line from here.

Step-by-step explanation:

Hello, i would love help since math is my worst subject ;

Answers

Answer:

4,5,6

Step-by-step explanation:

(x)+(x+1)+(x+2)= 15

3x + 3 = 15

3x = 12

x = 4

Answer:

Three consecutive numbers are: 4, 5, 6,

Step-by-step explanation:

Let three consecutive numbers be x , (x +1) ,  (x +2 )

x + x + 1 +x + 2 = 15

3x + 3 = 15

3x = 15 - 3

3x = 12

x = 12/3

x = 4

Three consecutive numbers are: 4, 5, 6,

if a rectangular painting is 3 feet long and 5/6 foot wide what is the area of the painting

Answers

Answer:

A = 2 1/2 ft^2

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

A = 3 * 5/6

A = 5/2 ft^2

A = 2 1/2 ft^2

Answer:

A=2.5 ft^2

Step-by-step explanation:

A=3

A=3(5/6)

A=2.5 ft^2

What is the simplified expression for the expression below? 4(x + 8) + 5(x – 3)Which expression is equivalent to 6(x – 4)

Answers

Answer:4x+32+5x-15

Step-by-step explanation: that’s the simplified equation, you would just have to distribute the 4 to its own equation and the 5 into its own equation.. but i think the second part of ur question is missing..

Answer:

C. 9x+17

Step-by-step explanation:

Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a lawn, and y, the area of land mowed in acres. Two of his points are (3, 1.5) and (5, 2.5). Which statement describes the slope of the line through these two points?

Answers

Also need to be increase different then level more of the level

Answer:

Aaron;s rate for mowing lawns is 0.5 acres per hour."as1.5 acres / 3 hours = 0.5 acres an hour2.5 acres / 5 hours = 0.5 acres an hour  Option (B)

Step-by-step explanation:Aaron;s rate for mowing lawns is 0.5 acres per hour."as1.5 acres / 3 hours = 0.5 acres an hour2.5 acres / 5 hours = 0.5 acres an hour

what is volume of cone that has a height of 6 inches, a radius of 3 inches, and a slant height of 6.7 inches

Answers

Answer:

V=56.52

Step-by-step explanation:

v=1/3(3.14)( r^2) (h)

V=1/3(3.14) (9)(6)

V=56.52

Answer:

The correct answer is 18π cubic inches

Step-by-step explanation:

I just took the test and I got the answer correct, I hope this will help you! :)

Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?


$ ___

Answers

Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]

Thus, Solution ; Expected Payoff ⇒ $ 1.50

how can you use scientific notation to compare the mass of an electron to the mass of a proton

Answers

Answer:

explained below

Step-by-step explanation:

Because the electro has a smaller mass than the mass of the proton, scientific notation is usually used so that the numbers are on the same "scale" but if we see the scientific notation we may be able to identify which is greater and which is less, due to that the exponent is less the number is smaller and on the contrary if the number is greater, it is a larger number.

In the image I leave an example of the use of scientific notation in this area

A=-2[[-6,4],[3,7],[12,10]] B=3[[-2,2,8],[8,5,6]]and D=-1[[-12,8],[6,14],[24,20]] are equal matrices ANSWERS a nd b are equal b and c are equal c and d are equal d and a are equal

Answers

Answer:

D and A are equal

Step-by-step explanation:

Two matrices A and B are said to be equal if both matrices have the same number of rows and columns. Given the following matrices

[tex]A = -2\left[\begin{array}{ccc}-6&4\\3&7\\12&10\end{array}\right] \\multiplying\ the \ matrix\ through\ by\ -2\ will\ give\\A = \left[\begin{array}{ccc}12&-8\\-6&-14\\-24&-20\end{array}\right] \\\\\\B =3 \left[\begin{array}{ccc}-2&2&8\\8&5&6\end{array}\right] \\B = \left[\begin{array}{ccc}-6&6&24\\24&15&18\end{array}\right] \\\\\\D = \left[\begin{array}{ccc}12&-8\\-6&-14\\-24&-20\end{array}\right][/tex]

From the above matrices, it can be seen that matrix A and C both has 3 rows and 2 columns each which matrix b has 2 rows and 3 columns.

Based on the conclusion, it can be seen that matrices A and D are equal since they have the same number of rows and columns

John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes. How much was the error in his estimate? Error = (Approximate value) − (Exact value) -$175 -$25 $25 $175

Answers

Answer:

The error of his estimate was $25.

Step-by-step explanation:

The error of an estimate is given by the estimated value subtracted by the real one. Since John estimated that he would spend $100 and he only spent $75 than the error of his estimate is:

[tex]\text{error} = 100 - 75\\\text{error} = 25[/tex]

The error of his estimate was $25.

Answer:

C

Step-by-step explanation:

i got itright

the sides of a triangle are in the ratio, 4:5:7 and its perimeter is 64cm. find its area , correct to 2 decimal places

Answers

Answer:

Step-by-step explanation:

First find all the sides of the triangle:

Total parts: 4+5+7 =  16

cm per part = 64/16 = 32/8  =4cm

therefore, all measures: 16cm, 20cm, 28cm.

Answer:

since you have not specified the height, I will use any no.

= 0.16

Step-by-step explanation:

perimeter is the distance round

add the ratios; 4+7+5=16

Ratio 16= Perimeter 64cm

R.16=64cm, find all the ratios

start with ratio 4

R.16=64cm

R.4×64cm÷16=16 cm

R.5×64÷16= 20 cm

R.7×64÷16=28 cm

A=1/2× b×h

1/2×16×20= A= 160cm2

2 dp, divide

0.16

Write a sequence with at least 5 terms that forms a pattern. Identify the rule.









please its due in an hour!!!!!!!!!!!!!

Answers

The pattern is attached in the image provided with the work.

I have started off listing 4 terms and then 3 blanks

so we can study the pattern and find the next few terms.

Here, notice that the difference between -5 and 1/2 and -5 is +1/2.

The difference between -5 and -4 and 1/2 is +1/2

and the difference between -4 and 1/2 and -4 is +1/2.

Continuing the same pattern, -4 + 1/2 will be equal to -3 and 1/2.

-3 and 1/2 + 1/2 will be equal -3

and -3 + 1/2 will be equal to -2 and 1/5.

Element X decays radioactively with a half life of 12 minutes. If there are 760 grams of element X, how long, to the nearest tenth a minute, would it take the element to decay to 15 grams?

Answers

Answer:

The time it'd take for the element to have 15 g of mass is approximately 68 min.

Step-by-step explanation:

The radioactive decay of a substance is given by the following formula:

[tex]mass(t) = mass(0)*e^{-\lambda*t}[/tex]

Since the element has a half life of 12 minutes, this means that after this time the mass of the element will be half of it was originally, therefore:

[tex]\frac{mass(0)}{2} = mass(0)*e^{-\lambda*12}[/tex]

[tex]\frac{1}{2} = e^{-\lambda*12}[/tex]

[tex]ln(\frac{1}{2}) = -12*\lambda\\\lambda = -\frac{ln(0.5)}{12} =0.0577623[/tex]

Therefore the mass of the element is given by:

[tex]mass(t) = mass(0)*e^{-0.0577623*t}[/tex]

If the initial mass is 760 g and the final mass is 15 g, we have:

[tex]mass(t) = mass(0)*e^{-0.0577623*t}\\\\15 = 760*e^{-0.0577623*t}\\\\e^{-0.0577623*t} = \frac{15}{760}\\\\ln(e^{-0.0577623*t}) = ln(\frac{15}{760})\\\\-0.0577623*t = ln(\frac{15}{760})\\\\t = \frac{ln(\frac{15}{760})}{-0.0577623}\\\\t = 67.9555[/tex]

The time it'd take for the element to have 15 g of mass is approximately 68 min.

You roll a twelve-sided die (having values one through twelve on its faces). What is the probability that the value of the roll will be a composite number?
show work pls!
help pls!

Answers

I think it’s 1/12 exactly you have a one in 12 chances of rolling a 5

Step-by-step explanation:

Probability

Probability is a measure of the likelihood that an event will happen.

When dealing with probability, the outcomes of a process are the possible results. For example, when a die is rolled, the possible outcomes are 1, 2, 3, 4, 5, and 6. In mathematical language, an event is a set of outcomes, which describe what outcomes correspond to the "event" happening. For instance, "rolling an even number" is an event that corresponds to the set of outcomes {2, 4, 6}. The probability of an event, like rolling an even number, is the number of outcomes that constitute the event divided by the total number of possible outcomes. We call the outcomes in an event its "favorable outcomes".

Probability =

Wyatt wants to study the relationship between the number of siblings that a student has and the student's grade-point
average using a scatterplot. He believes that if the points form a straight line, then there is a relationship between the two
variables. Which scatterplot proves that Wyatt's statement is not always true?
Number of Siblings vs. Grade-Point Average

Answers

Answer:

the answer is D

Step-by-step explanation:

Because of how the students grade ar goung not down but up were the y or x

The scatterplot that shows that Wyatt is not always right to say that a straight line shows a relationship between two variables is the graph attached.

When does a straight line show a relationship between variables?

The only time a straight line can be said to be proof that two variables are related is when this straight line is diagonal as it shows correlational change.

If the straight line is vertical or horizontal as shown attached, it means that there is no relationship because one variable is not changing when the other one does.

Find out more on straight-line relationships between variables at https://brainly.com/question/1078661.

#SPJ2

For each set of probabilities, determine whether the events A and B are independent or dependent.

Answers

Answer:

[tex]\fbox{\begin{minipage}{15em}a, d: A and B are not independent\\b, c: A and B are independent\end{minipage}}[/tex]

Step-by-step explanation:

Step 1: Apply the correct formula to check whether two events are independent or not

If the events A and B are independent, then:

P(A) x P(B) = P(A⋂B)

The formula of conditional probability:

P(A⋂B) = P(A|B) x P(B) = P(B|A) x P(A)

Step 2: Perform the calculation

a)

P(A) x P(B) = (1/6) x (1/4) = 1/24

P(A⋂B) = P(A|B) x P(B) = (1/5) x (1/6) = 1/30

=> P(A) x P(B) is not equal to P(A⋂B)

=> A and B are not independent.

b)

P(A) x P(B) = (1/2) x (1/4) = 1/8

P(A⋂B) = 1/8

=> P(A) x P(B) is equal to P(A⋂B)

=> A and B are independent.

c)

P(A) x P(B) = (1/2) x (1/6) = 1/12

P(A⋂B) = P(A|B) x P(B) = (1/2) x (1/6) = 1/12

=> P(A) x P(B) is equal to P(A⋂B)

=> A and B are independent.

d)

P(A) x P(B) = (1/3) x (1/6) = 1/18

P(A⋂B) = P(B|A) x P(A) = (1/2) x (1/3) = 1/6

=> P(A) x P(B) is not equal to P(A⋂B)

=> A and B are not independent.

Hope this helps!

:)

Please help! Correct answer only! This assignment is due today.
Lester teaches a ceramics class on the weekends. In Sunday's class, the students created 19 clay objects, 12 of which were vases. After each class, Lester bakes the clay objects in a hot kiln to harden them. Students pick up their finished pieces later in the week.
If Lester randomly chose 16 clay objects to bake in the kiln Sunday night, what is the probability that exactly 11 of the chosen clay objects are vases?

Write your answer as a decimal rounded to four decimal places.

Answers

Step-by-step explanation:

Well they made 19 clay, where 12 were vases. That means 7 were not vases. She randomly chooses 16 clay objects, which then also means 3 were left behind. so if the vases are  12/19, which is approximately 63%, then 63% of the objects are vases. Makes sense, right? Well now we need to multiply that by the initial 11 in the question. After all of this work..

Answer: 6.9474 or 6.94736.

Please mark as Brainliest.

What is the value of x? Round to the nearest tenth and show your work

Answers

Answer:   A. mark as brainliest

Step-by-step explanation: dont need to

y=p2 +gr
Find y when p=-5, q=3 and r=-7.
Write p in terms of q, r and y.

Answers

Answer:

4

p= √(y-qr)

Step-by-step explanation:

y=p² +qr

p= -5, q=3, r= -7

y= (-5)²+3*(-7)= 25- 21=4

p²= y - qr

p= √(y-qr)

A nursery builds protective cylindrical covers, as shown, to protect seedlings from frost. The cover has a top, but no bottom. How many square feet of flexible plastic will be needed to build three dozen of the covers? The flexible plastic is sold by the square foot. the radius is 4 in and the height is 10 in

Answers

Answer:

414.48 square feet is needed to make 3 dozen of the covers.

Step-by-step explanation:Step 1: Find the circumference, perimeter, of the circle.

To find the circumference, you multiply the 4 by π, and π is 3.14, and you get  12.56.

Step 2: Find the area of the side, not including the circle.

The 12.56 is literally the length of the side. The width is the height of the cover which is 10 inches. 12.56 multiplied by 10 is 125.6 square inches.

Step 3: Add them up.

125.6 + 12.56 is 138.16

Step 4: Multiply 138.16 by three dozen (36 [a dozen is 12]).

138.16 multiplied by 36 is 4973.76 square inches.

Step 5: Convert 4973.76 square inches to square feet.

12 inches is 1 foot so we divide 4973.76 by 12. You get 414.48 square feet.

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