Please help!
Are the expressions –0.5(3x + 5) and
–1.5x + 2.5 equivalent? Explain why or why not.

Answers

Answer 1

Answer:

We can check this two ways: distributing the -0.5, and plugging in a number for x.

First, we can check this by distributing the -0.5.  Our equation becomes:

-1.5x -2.5 = -1.5x + 2.5

Clearly, this is not true.  We can show this one more time by plugging in a number for x.  I will use 2.

Now, we evaluate both sides and see if they are equal.

-3 - 2.5 = -3 + 2.5

-5.5 = 0.5

Clearly, this is not true.  These expressions are not equivalent.

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:   Using the distributive property to expand the first expression, you would get -1.5x - 2.5. Since the constant term does not have the same sign as the second expression, the two expressions are not equivalent. Also, if you substitute in a value for x and evaluate each expression, the values will not be equal.


Related Questions

Researchers tracked 2668 people from early childhood through adulthood and found that 13-year-olds who are frequent

targets of bullies were three times more likely than their non-victimized peers to be depressed later as adults.

Identify the population, sample, and variables for the study.

Answers

Answer:

Step-by-step explanation:

(A) The population is the 2,668 people who were tracked from early childhood to adulthood.

(B) The sample comprised all 13-year olds within the population. Since the members of the population started out as kids (and later became adults), the sample was inclusive of all 2,668 individuals but only at the age of 13. That is where the focus was; at the age of 13.

The study then proceeded to divide them into two groups - the experimental group (13 year olds who were frequent targets of bullies) and the non-experimental group (13 year olds who were not frequent targets of bullies).

(C) The variables in this study are:

- 13 year olds who were frequent targets of bullies

- 13 year olds who were not frequent targets of bullies

- Adults (from the same population who were once 13 year olds) with depression

- Adults (from the same population who were once 13 year olds) without depression.

NOTE HOWEVER that the degree of bullying each teenager faced and the magnitude of depression each adult faced, can be gotten from the above variables; when they assume a figure or number which can be high, low or medium.

A soup recipe makes 6 cups. How many people does it serve if each serving is of a cup

Answers

Answer:

8

Step-by-step explanation:

You have $8.33. You buy 4 items that cost $0.63 each. How much money do you have left?

Answers

Answer:

$5.81

Step-by-step explanation:

$0.63×4=$2.52

$8.33-$2.52=$5.81

What is the slope and y-intercept of the linear equation y = 5x − 4?
m =
b =

Answers

m = 5
y = -4
the formula is y=mx+b so just look at what numbers are placed where and you should be able to understand next time :)

Answer:

I got it right on edge 2020/2021

Step-by-step explanation:

m=5

b=-4

What formula is used to
determine the expected value for a variable?

Answers

The basic expected value formula is the probability of an event multiplied by the amount of times the event happens: (P(x) * n).

what does the variable, r, stand for in the equation 16- r/7 = 21

Answers

Answer:

R stands for 6

Step-by-step explanation:

Owen earns a base salary of $925 per month as a salesman. In addition to his salary, he earns $85 per product that he sells. If his goal is to earn more than $4,500 per month, how many products does he need to sell? what would be the problem and solution?

Answers

Answer:

43

Step-by-step explanation:

How do you find the slope-intercept form from two points?

Answers

Answer:

Rise over run.

Step-by-step explanation:

If you have learned rise over run you will get it.

2(x-3)=x-5+x plz help

Answers

Answer:

x is undefined

Step-by-step explanation:

Simplify the expression, we get

2x-6=2x-5

This will not work

There are no solutions

B. In three to five sentences, write the significance of function in showing real-life
situations,​

Answers

enter an image, please then people would understand.

2 + (-2) = 0 0
What property of addition ?

Answers

Answer:

Associative I believe

Step-by-step explanation:


Based only on the given information, it is guaranteed that Ac = bc

Answers

Answer:

True

Step-by-step explanation:

True because if AC = BC, then the triangles are the same.

The side AC is congruent to the side BC the statement is true.

What is congruency?

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one are congruent to the included angle and corresponding two sides of the other triangle.

In the given figure we can see that the ∠ACD ≅ ∠BCD and AB CD mean that the line CD is dividing the line AB into two equal parts.

Therefore, the side AC is congruent to the side BC the statement is true.

Learn more about congruency at

brainly.com/question/14418374

#SPJ2

4x+7 (3x-3)<-9
Please show steps

Answers

Answer: 3x-3 needs to be done first, and then 4x+7, and then multiply and whatever you get will be your answer

Step-by-step explanation:

South High School began the school
year with 1125 students. They have
lost 4% of their student body due
to attrition.
How many students has South
High School lost to attrition?

Answers

Answer:

45

Step-by-step explanation:

1125 students×.04 attrition =45 students lost

The centers of two small metal spheres with a charge of 7.4 × 10−8 C are 10 cm from each other. a) What is the electric force between them? b) One of the spheres touches another identical neutral one, what is now the electric force if they are kept at the same distance? The constant in the Coulomb's law expression is k = 9.0 × 109 Nm2C2.

Answers

Georgia Washington was the election compadre

Answer:

answer is 9 in th by form of the good answer is the to k=9.0 10á gd gd

Look at the graph and choose the correct answer.

Answers

So it’s -3 and the second one is +4

help me please, im stumped​

Answers

Answer:

your not stupid don't doubt your self

Answer:

answer is 10....that was simple

Step-by-step explanation:

as we know both the Δ were congruent, then CPCT will also be equal

angle b = angle q

that means 3v + 4 = 8v - 6

6 + 4 = 8v - 3v

10 = 5v

10/5 = v = 2

put the value of v = 2 and u'll get 10

Will give brainliest!
a
(1, 3) and (2, 7)
b
(3, 8) and (5, 12)
c
(1, 3) and (6, 13)
d
(5, 12) and (6, 13)

Answers

Answer:

B

Step-by-step explanation:

I think its B because the line would be closest to the rest of the dots in the graph. I hope its right!

Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all have the same body size in their adult phase, which made it easy to measure speeds in units of body lengths per second (bl/s). The researchers found that, when traffic is light and not congested, ant speeds vary roughly Normally, with mean 6.20 bl/s6.20 bl/s and standard deviation 1.58 bl/s.1.58 bl/s. (a) What is the probability that an ant's speed in

Answers

This question is Incomplete

Complete Question

Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all have the same body size in their adult phase, which made it easy to measure speeds in units of body lengths per second (bl/s). The researchers found that, when traffic is light and not congested, ant speeds vary roughly Normally, with mean 6.20 bl/s and standard deviation 1.58 bl/s. (a) What is the probability that an ant's speed in light traffic is faster than 5 bl/s? You may find Table B useful. (Enter your answer rounded to four decimal places.)

Answer:

0.7762

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

Population mean = 6.20 bl/s

Standard deviation = 1.58 bl/s.

x = 5 bl/s

z = 5 - 6.20/1.58

z = -0.75949

The probability that an ant's speed in light traffic is faster than 5 bl/s is P( x > 5)

Probability value from Z-Table:

P(x<5) = 0.22378

P(x>5) = 1 - P(x<5)

= 1 - 22378

= 0.77622

Approximately to 4 decimal places = 0.7762

The probability that an ant's speed in light traffic is faster than 5 bl/s is 0.7762

How do you write binomial expansions?

Answers

Answer:

The expression having two terms is called binomial expression.

we can write binomial expression by using two terms. For example: a+b , 2x+5, etc.

Please help!!!!!! If the measure of angle 8 is 35 what is the measure of angle 4?

Answers

Answer:

It will also be 35

Step-by-step explanation:

Answer:

Measure of angle 4 will also be 35°.

REASON: Corresponding angles are congruent.

Radio blackouts are among the most common space weather events to affect Earth. Minor radio blackouts occur, on average, twice per year. Use a Poisson process to model the phenomenon. (a) Given that 3 events have occurred in the first half of the year, what is that probability that 3 events will happen in the rest of the year? (b) How many radio blackouts do you expect to see in two years? (c) Starting from now, how long must we wait so that the probability of seeing the next radio blackout is at least 0.5? (d) Find the probability that the time to the 4th blackout is at most 2 years.

Answers

Answer:

a.  P(x = 3) = 0.061313

b. The expected number of radio blackouts = 4

c.  It is not possible to determine the next radio blackout

d. P(x = 4) = 0.19537

Step-by-step explanation:

From the given information:

Using a Poisson process to model the phenomenon:

Since minor radio blackouts occur, on average, twice per year.

Then:

[tex]\lambda = 2 \ years[/tex]

From question (a)

time t = 1/2 (i.e half of the year)

Let x be the random variable that denotes the probability that 3 events will happen in the rest of the year.

Then:

[tex]P(x = 3) = \dfrac{e^{-\lambda t} \times (\lambda t)^x}{x!}[/tex]

[tex]P(x = 3) = \dfrac{e^{-2* 0.5} \times (2 * 0.5)^3}{3!}[/tex]

P(x = 3) = 0.061313

b).

The number of radio blackouts  we expect to see in two years can be estimated as follows:

we know that:

t = 2 years

E(x) = λ × t

E(x) = 2 × 2

E(x) = 4

The expected number of radio blackouts = 4

c).

The amount of time we need to wait given that the probability of seeing the next radio blackout is at least 0.5 is as follows:

Here, the time (t) = ???

Thus:

P(x =1) = 0.5

[tex]P(x = 1) = \dfrac{e^{-\lambda t} \times (\lambda t)^x}{x!} = 0.5[/tex]

[tex]\dfrac{e^{-\lambda t} \times (\lambda t)^x}{x!} = 0.5[/tex]

Thus, it is not possible to determine the probability (50%) of seeing the next radio blackout.

d)

The probability that the time to the 4th blackout is at most 2 years can be computed as follows:

Here;

x =4 , t = 2

Thus:

[tex]P(x = 4) = \dfrac{e^{-4 } \times (4)^4}{4!}[/tex]

P(x = 4) = 0.19537

Help!!!!!!!Plz!!!!!!!

Answers

Answer:

I'm so confused

Step-by-step explanation:

A large brick oven takes 64 minutes to cook 16 pizzas. How long would it take to cook two pizzas?

Answers

Answer:

It would take 8 minutes to cook 2 pizzas in a brick oven.

Step-by-step explanation:

Answer:

It would take 8 minutes to cook 2 pizzas in a brick oven.

Explain how solving -7y > 161 is different from solving 7y > -161.

Answers

Answer:

When the coefficient (number before the variable) is negative, you have to switch the inequality symbol after you divide.

Answer:

EDGE 2020

Step-by-step explanation:

Sample response: Both inequalities use the division property to isolate the variable, y. When you divide by a negative number, like –7, you must reverse the direction of the inequality sign. When you divide by a positive number, like 7, the inequality sign stays the same. The solution to the first inequality is y > -23, and the solution to the second inequality is y <>

Question 3 options: If 2y+13=y+5 then 2y + 1 = 3y + ___. What number would go in the blank? If you continued to solve, would y = - 14? state either yes or no

Answers

Answer:

Step-by-step explanation:

Given the expression 2y+13=y+5

To get the value of y, we willow the following steps:

Subtract 2y to both sides:

2y+13-2y = y+5-2y

13 = -y+5

subtract 5 from both sides:

13-5 = -y+5-5

8 =  -y

-y = 8

multiply both sides by -1

-(-y) = -8

y = -8

Hence the value of y = -8 not -14

So NO,if you continue to solve, y would not be -14

Ben is buying a tiny house. He will borrow $23,000 at a rate of 3% per year for 4 years. If the interest is compounded annually, how much will he pay total?​

Answers

Answer:

$25,886.70

Step-by-step explanation:

Which statement about residual plots is not true?

A. If there is an obvious pattern, the model is probably reasonable.

B. The vertical axis shows residuals.

C. The x-axis appears in the middle of the graph.

D. The sum of the residuals is 0.

Answers

Answer:

Step-by-step explanation:

d

Answer:

A

Step-by-step explanation:

Lilliana is training for a marathon. She runs the same distance every day for a week on Monday,
Wednesday, and Friday, she runs 2 laps on a running trail and then runs 6 more miles. On Tuesday and
Sunday, she runs 4 laps on the trail and then runs 2 more miles. On Saturday, she just runs laps. How
many laps does Lilliana run on Saturday?

Answers

Answer: 6 miles

Step-by-step explanation:

WEDNESDAY + FRIDAY (# OF MILES)

The Miles Covered by Each Lap = 3x

The Miles on Top of That = 6

TUESDAY + SUNDAY (# OF MILES)

The Miles Covered by Each Lap = 5x

The Miles on Top of That = 2

You want to now put that into an equation! Therefore, you want to put the number of miles from Wednesday and Friday on one side and the number of miles from Tuesday and Sunday on the opposite side.

SOLVING EQUATION FOR MILES PER LAP

Step 1) 3x + 6 = 5x + 2

given equation from what we put together.

Step 2) -3x + 3x + 6 = 5x + 2 -3x

subtract 3x from both sides.

Step 3) -2 + 2x + 2 = 6 -2

subtract 2 from both sides.

Step 4) 2 × x = 4

divide both sides by 2 because you want to put the variable (x) on one side.

Step 5) x = 2 miles for each lap

Now you want to go look back at the equation and plug in 2 for the variable x.

Step 6) 5 ×2 + 2 = 12

PEMDAS!

Step 7) 12 ÷ 2 = 6

SHE RUNS 2 MILES ON SATURDAYS!

A human gene carries a certain disease from the mother to the child with a probability rate of 39%. That is, there is a 39% chance that the child becomes infected with the disease. Suppose a female carrier of the gene has four children. Assume that the infections of the four children are independent of one another. Find the probability that all four of the children get the disease from their mother. Round to the nearest thousandth.

Answers

Answer:

[tex]Probability = 0.023[/tex]

Step-by-step explanation:

Given

Represent the given probability with P(Gene)

[tex]P(Gene) = 39\%[/tex]

[tex]Children = 4[/tex]

Since all 4 children get the disease, the required probability is calculated as thus:

[tex]Probability = P(Gene)^4[/tex]

[tex]Probability = 39\%^4[/tex]

Convert % to decimal

[tex]Probability = 0.39^4[/tex]

[tex]Probability = 0.02313441[/tex]

[tex]Probability = 0.023[/tex] Approximated

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