Given that a = −4, b = −3. c = −2, d = −1, which gives the correct order from least to greatest for the rational numbers on a number line?

Answers

Answer 1

Final answer:

On a number line, the correct order from least to greatest for the given rational negative numbers is −1, −2, −3, and −4.

Explanation:

To correctly place the numbers a = −4, b = −3, c = −2, and d = −1 on a number line from least to greatest, we should start with the number that has the largest absolute value in the negative direction. Since negative numbers are greater when they have a smaller absolute value, the order from least to greatest is:

d < c < b < a

This means −1 is greater than −2, which is greater than −3, and −3 is greater than −4 on the number line.

Related Questions

find the slope of the line. -7 , - 1/7, 7, 7/1

Answers

we have that
point A(-2,2)
point B (5,3)

step 1 find the slope m
m=(y2-y1)/(x2-x1)------> m=(3-2)/(5+2)-----> m=1/7

the answer is
the slope m=1/7

slope = (y₂-y₁)/(x₂-x₁)
by making (x₁,y₁) = (-2,2) and (x₂,y₂) = (5,3)
∴The slope = (3-2)/(5 - -2) = 1/7

enter the ordered pair that is the solution to the system of equations graphed below please :]

Answers

Hello!

Since (1, -2) is the point of intersection, then it is the solution to the system of equations. Let's test our answer to see if it's correct:

[tex]-2 = -4(1) + 2 -2 = -4 + 2 -2 = -2[/tex]

But that's only for the first one, let's test for the second one:

[tex]-2 = 1 - 3 -2 = -2[/tex]

This is how we know that (1, -2) is the solution to the system of equations. Hope I helped! :3

solve the system using the substituion method
-4x+y=8
x-3y=9

Answers

Hi there!

x - 3y = 9
x = 9 + 3y

-4x + y = 8
-4(9+3y) + y = 8
-36 - 12y + y = 8
-36 - 11y = 8
-11y = 44
-y = 4
y = -4

x - 3y = 9
x - 3(-4) = 9
x + 12 = 9
x = 21

So, your answers are y = -4 and x = 21.

Hope this helps!

1.
Find the annual percentage rate, using the annual percentage rate table.
Amount Financed: $2,650

Finance Charge: $484.69

Number of Payments: 36

Answers

Amount Financed: $2,650
Finance Charge: $484.69
Number of Payments: 36

(Finance Charge)/(Amount Financed)*100$=($484.69)/($2,650)*100$
(Finance Charge)/(Amount Financed)*100$=(0.1829)*100$
(Finance Charge)/(Amount Financed)*100$=$18.29

In the row of number of Payments 36, we look for:
(Finance Charge)/(Amount Financed)*100$=$18.29, and we see to which annual porcentage rate it corresponds in the first row

Answer: 11.25%

The average price of a gallon of milk at 5 supermarkets is $3.52. The prices at 4 of the supermarkets are $3.39, $3.82, $3.61, and $3.44, respectively. What is the price at the fifth supermarket?

Answers

Adding all 5 prices together (substituting the fifth for x) and dividing by 5 (the total number of prices) gets us our equation. We know that this equals 3.52. So the cost of the fifth supermarkets milk is 3.17

Answer: B.)3.34

I did it on usatestprep

Step-by-step explanation:

A straight line has the equation 2y-8x=5x-12. If point C, (4, n) lies on this straight line, find n.

Answers

we have that
2y-8x=5x-12----> 2y=13x-12

we know that
If point C, (4, n) lies on this straight line
so
in the straight line
for x=4
the value of y must be n
2y=13x-12-----> 2y=13*4-12----> 2y=52-12----> 2y=40----> y=20

the value of n must be 20

the answer is
n is 20

Alice makes 8 bracelets. there are 4 red beads on each bracelets. witch number sentence shows the total number of beads used?

Answers

not sure what you mean by # sentence
But 8 bracelets times 4 red beads equals 32 beads in total
8 * 4 = 32

the correct answer is 32

please show all possible solution by graphing a linear inequality

Answers

We have the following variables:
x = the number of adult tickets
y = the number of children's tickets
We write the inequality:
8x + 6y <= 172
The solution is the set of points that belong to the region shaded in the graph.
Answer:
8x + 6y <= 172
see attached image.

In order to answer your question, first we need to discover the following variables:
x = the number of adult tickets
y = the number of children's tickets

Then write the inequality:
8x + 6y <= 172
Answer:
8x + 6y <= 172 so the solutions of this equation are those who are in the shaded part of the graph.

Please help me with this.

Answers

[tex] a_{n} = +(n-1)d [/tex]

We are given the first term and the common difference.

So,

[tex]a_{1}=-10 \\ \\ d=5[/tex]

Using these values in the given equation, we get:

[tex] a_{n} =-10+(n-1)*5 \\ \\ a_{n} = -10 + 5n - 5 \\ \\ a_{n} = 5n -15[/tex]

So, option C gives the correct answer.

Heather and Joel bought a house for $157,200 and know that the house appreciates every year. They keep track of their house value for 5 years and model their data with the exponential equation

Answers

Given that they want to estimate the cost of the house after 8 years, the best equation will be obtained as follows:
FV=P(1+r)^n
where:
n=time
p=principle
r=rate
First we need to estimate the rate. The value of the house after 5 years is $ 190,000
thus plugging the values in the equation and solving for r we get:
190000=157200(1+r)^5
1.20865=(1+r)^5
getting the fifth root of both sides we obtain:
1.0386=1+r
thus
r=0.0386~3.86%
thus the value of the house after 8 years will be:
FV=157200(1.0386)^8
FV=$212,879.6936

Final answer:

The question relates to house appreciation and quality in mathematics. The house's value appreciates each year, an occurrence that Heather and Joel could monitor. House appreciation allows them to determine the annual interest rate and the value of their house after a particular period, and Ben and Freda's specifics help illustrate this situation.

Explanation:

The question pertains to the concept of housing appreciation and equity in Mathematics. In this situation, Heather and Joel will observe that the value of their home increases annually due to appreciation. The value of their home after a certain period can be modeled using an exponential equation, taking the initial amount as the purchasing price, and the rate as the annual appreciation percentage.

For example, looking at Freda's situation, she bought a house for $150,000. Now, if she were to sell it, she would get $250,000. This increase in price from $150,000 to $250,000 would demonstrate the appreciation of her house over time. Similarly, Ben bought a house for $100,000 and borrowed the rest after a 20% down payment. As he pays the loan, his equity in the house increases and the house's increase in value also appreciates his equity.

Learn more about House Appreciation and Equity here:

https://brainly.com/question/15073504

#SPJ12

Adam spent $3.42 on orange juice. It costs .12 per ounce. How many did Adam buy?

Answers

Hi,

I would say that the answer is 28, but it still doesn't add up because when you multiply 12 by 28 you get $3.36 which isn't enough to meet his total, so I tried multiplying 12 by 29 and I got $3.48, which is six cents over his total. So I'm sorry if it is wrong I tried to help to my best ability.

I hope it helps, have a great day/night!!!

Adam bought 26.14 ounces of orange juice.

To solve the problem, we need to determine how many ounces of orange juice Adam bought with $3.42, given that the cost per ounce is $0.12. We can set up a simple proportion to find the answer.

First, we convert the cost of orange juice per ounce from a fraction to a decimal. The cost is $0.12 per ounce, which can also be written as [tex]$\frac{12}{100}$[/tex] dollars per ounce. Simplifying this fraction gives us [tex]$\frac{3}{25}$[/tex] dollars per ounce.

Next, we convert the total amount spent by Adam, $3.42, into a fraction. This is equivalent to [tex]$\frac{342}{100}$[/tex] dollars.

Now, we set up the equation to find the number of ounces (let's call it [tex]$x$[/tex]) that Adam bought:

[tex]\[ \frac{3}{25} \times x = \frac{342}{100} \][/tex]

To solve for [tex]$x$[/tex], we multiply both sides of the equation by the reciprocal of [tex]$\frac{3}{25}$[/tex], which is [tex]$\frac{25}{3}$[/tex]:

[tex]\[ x = \frac{342}{100} \times \frac{25}{3} \][/tex]

Multiplying the numerators and denominators separately, we get:

[tex]\[ x = \frac{342 \times 25}{100 \times 3} \][/tex]

Simplifying the right side of the equation by canceling out common factors (25 cancels with 100 to become 4, and 3 cancels with 342 to become 114), we have:

[tex]\[ x = \frac{114 \times 4}{4} \][/tex]

This simplifies to:

[tex]\[ x = 114 \][/tex]

However, we must remember that the original amount spent was $3.42, not $342. Therefore, we must divide our result by 100 to account for the cent conversion:

[tex]\[ x = \frac{114}{100} \][/tex]

[tex]\[ x = 1.14 \][/tex]

This result represents the number of ounces Adam bought in addition to the whole number of ounces he could buy with whole dollars. Since $3.00 would buy [tex]$\frac{3}{0.12}$[/tex] ounces, we need to add this to our 1.14 ounces to get the total:

[tex]\[ x_{total} = 1.14 + \frac{3}{\frac{12}{100}} \][/tex]

[tex]\[ x_{total} = 1.14 + \frac{3 \times 100}{12} \][/tex]

[tex]\[ x_{total} = 1.14 + \frac{300}{12} \][/tex]

[tex]\[ x_{total} = 1.14 + 25 \][/tex]

[tex]\[ x_{total} = 26.14 \][/tex]

Q #7 please solve the equation

Answers

The relation between a and s is given to be:

a = 640s

where,

a = number of acres
s = number of square miles

We are to find the number of acres for 7.5 square miles.

This means, s = 7.5

Using the value in the formula, we get:

a = 640 x 7.5 = 4800 acres

So the answer to this question is option B

write 3.6 as a mixed number in the simplest form

Answers

3.6 = 3 3/5

(sorry if it's wrong)

3 60/100 is 3.6 as a mixed number.

William made 1/2 gallon of lemonade to divide equally among 3 people. How much lemonade will each person?
a) 1/6 gallon
b)2/3 gallon
C) 1/5 gallon
d) 3/2 gallon

Answers

its 1/6 gallon as 1/2 /3 = 1/2 . 1/3= 1/6

Suppose you are the treasurer of the drama club.The cost of scripts for the spring musical is $254. The cost of props and costumes is $400. You must also pay $1.20 per ticket to the play's director. You charge $4.00 per ticket and you also expect to make $150 on refreshments. How many tickets will the drama club need to sell to break even?

Answers

Expected net costs are
$254 +400 -150 = $504

Expected income per ticket is
$4.00 -1.20 = $2.80

To break even, the number of tickets that must be sold is
$504/$2.80 = 180

The drama club needs to sell 180 tickets to break even.

what is the answer for this math question

Answers

1/10÷2/3=KCF (keep,change,flip)
1/10×3/2=3/20 cups
0.15=15%=3/20 as decimal*percent

There are 10 people on a team. 5 are chosen. which expression gives number of ways

Answers

The number of ways in this case will involve computation of number of combinations available. That is,
Number of ways to select 5 = Total number C Number to be chosen. Where "C" stands for combination

Substituting;
Number of ways to select 5 from 10 people = 10C5 = 10!/{5!*(10-5)!} = 10!/(5!*5!) = 252 ways

***HELP***
Given that ABC ~ DEC, find the value of x. If necessary, round your answer to two decimal places.

Answers

If these are similar triangles, this means that the ratio of corresponding sides is equivalent. In this case, AB corresponds to DE as CB corresponds to CE. In ratio and proportion form:
AB / CB = DE / CE
x / 5 = (18 - x) / 25
5x = 18 - x
6x = 18
x = 3

The ratio of a model car to the size of an actual car is 1:40. If the model is 4.5 inches long, what is the length of the full size car in inches and in feet?

Answers

4.5x40=
4x40=180
.5x40=20
180+20=200

what is the value of the expression 8.5 - 10.2 + -7.4

Answers

First, subtract 10.2 from 8.5
8.5 - 10.2 = -1.7
Next, add -7.4 to -1.7
-7.4 (+) - 1.7 = -9.1
Your final answer is -9.1

Answer: −9.1

Step-by-step explanation:

8.5−10.2−7.4

=−1.7−7.4

=−9.1

PLEASE MARK BRAINLIEST

a cone with radius 2 feet and height 8 feet is shown.

Answers

The volume of the cone is approximately 33.51 cubic feet when rounded to the nearest hundredth

Use the formula for the volume of a cone, which is:

[tex]V = \frac{1}{3} \pi r^2 h[/tex]

Where:

[tex]V[/tex] is the volume of the cone,[tex]r[/tex] is the radius of the base of the cone,[tex]h[/tex] is the height of the cone.

Given:

Radius [tex]r = 2\;\text{ft}[/tex]Height [tex]h = 8\;\text{ft}[/tex]

Substitute the given values into the volume formula:

[tex]V = \frac{1}{3} \pi (2)^2 (8)[/tex]

Calculate the radius squared:

[tex]2^2 = 4[/tex]

Multiply the squared radius by the height and [tex]\pi[/tex]:

[tex]4 \times 8 \times \pi = 32\pi[/tex]

Divide by 3 to get the volume:

[tex]V = \frac{32\pi}{3} \approx \frac{32 \times 3.14159}{3} \approx 33.51\;\text{cubic feet}[/tex]

Complete question

A cone with a radius of 2ft and height 8ft is shown. Find the volume of the cone in cubic feet. Round your answer to the nearest hundredth

What is the factorization of the polynomial below x^2-3x-40

Answers

(x - 8)(x + 5)
________

A 4-foot tall person standing with her back to the sun casts an 6-foot long shadow.

To the nearest degree, what angle does the sun make with the ground?

Answers

For this case we have the following trigonometric relationship:
Tan (x) = (4/6)
Clearing the angle we have:
x = Atan (4/6)
x = 33.69006753
Rounding off we have:
x = 34 degrees
Answer:
The angle that sun makes with the ground is:
x = 34 degrees

How do I find the hypotenuse of a triangle when given 90 degrees and one side length?

Answers

You need one more fact either an angle or a side in order to be able to answer. I take it you have neither. But there must be something more you can tell us from the question. List the question exactly as it is asked with a diagram if necessary. I'll follow and use either comments or I'll edit.

The direct answer to your question is that you can't.

Simplify 1 · 0 - 0/y

Answers

The product of any number and 0 is zero. The expression is 1*0-0/y. 1*0 is obviously 0. 0/y is the same thing as 0 * 1/y, which is also zero. 0-0 is 0, so the answer is 0.

what percent of 28 is 21

Answers

if we take 28 to be the 100%, what is 21 off of it?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 28&100\\ 21&p \end{array}\implies \cfrac{28}{21}=\cfrac{100}{p}\implies p=\cfrac{21\cdot 100}{28}[/tex]

21 divided by 28 equals 7. thus is 70%

The figure is made up of a cylinder and a half sphere. What is the volume of the composite figure? Round to the nearest hundredth.
radius: 4mm
cylinder length: 7mm

Answers

we know that
[volume of the composite figure]=volume of cylinder + volume hemisphere

volume cylinder=pi*r²*h
r=4 mm
h=7 mm
volume cylinder=pi*4²*7----> 351.68 mm³

volume of hemisphere=(4/6)*pi*r³
r=4 mm
volume of hemisphere=(4/6)*pi*4³----> 133.97 mm³

[volume of the composite figure]=351.68+133.97----> 485.65 mm³

hey can you please help me posted picture of question

Answers

We can determine the correct graph by finding its roots

x² - 4x - 12 = 0

x² - 6x + 2x - 12 = 0

x(x-6) +2(x-6) = 0

(x+2)(x-6) = 0

This means the roots of the function are x=-2, and x=6 and the graph will cross x axis at these two points. From the given graphs, the graph B seems to cross these points.

So the answer to this question is option B

Describe a reasonable sample space to model this experiment. (b) let n be the number of sample points that are inside the unit circle. find e(n). (c) use this to construct a random variable p with e(p) = π. this random variable will give your estimate of π.

Answers

A) Flip a coin 4 times. list sample space(ω) LET H HITS AND T TAILS.

TTTT

HTTT
THTT
TTHT
TTTH

HHTT
HTHT
HTTH
TTHH
THHT
THTH

HHHT
THHH
HTHH
HHTH

HHHH

B) ω= 1+4+6+4+1= 16 = number of sample space, which is = to n.

C) the random variable should 3.14 approximately or 22/7

find the least common multiple LCM of 10 and 5

Answers

1,2
The least common multiple is 2

Answer: I hope this is helpful

Step-by-step explanation:

10LCM of 5 and 10 is 10. LCM, also known as Least Common multiple or Lowest common multiple, is the smallest or the least positive integer that is divisible by the given set of numbers. In the given set of numbers 5 and 10, 10 is the least number that is divisible by both 5 and 10.

Other Questions

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