Mathematics High School

If 8a−4b=20 and 4a−8b=4, then what is the value of a−b?

Answers

Answer 1
I’m more than likely wrong but 2 and 5
Answer 2
first simplify the equations to make it easier.
2a-b=5
a-2b=1
a=1+2b
plug that into the first equation.
2+4b-b=5
b=1
a=3
 3-1=2  your answer therefore is 2.

Related Questions

Today an exercise equipment store took 15% off the price of a treadmill, and for the next 2 days, it will take 15% off the previous day's price. If the price of the treadmill yesterday was $4000, what will be the price of the treadmill 2 days from now? (5 points: Part I – 1 point; Part II – 1 point; Part III – 1 point; Part IV – 2 points)

Answers

To find the price of the treadmill, you can calculate the amount you will pay after each day and then multiply by the percentage that you will pay for each additional day.

You should use 85% (100% - 15%) as the part you will pay for a quicker calculation.

$4000 x 0.85 = $3400 (after the first day)
$3400 x 0.85 = $2890 (after the second day)
$2890 x 0.85 = $2456.50 (after third day)

If the price of the treadmill yesterday was $4000, what will be the price of the treadmill 2 days from now?  I interpreted this as the discount would be applied for 3 days.

If the reserve rate is 6% and a bank receives a deposit of $14,000, how much of the $14,000 is the bank free to loan out?

Answers

Apex said $13160 was the right answer

The bank must keep 6% of the $14,000 deposit as a reserve, which amounts to $840. Therefore, it is free to loan out the remaining $13,160.

If the reserve rate is 6% and a bank receives a deposit of $14,000, the bank is required to keep 6% of that deposit as reserves. To calculate the amount the bank needs to keep in reserves, we multiply the total deposit by the reserve rate:

Reserve amount = Total deposit x Reserve rate

Reserve amount = $14,000 x 0.06 = $840

Now, to find out how much the bank is free to loan out, we subtract the reserve amount from the total deposit:

Amount available for loans = Total deposit - Reserve amount

Amount available for loans = $14,000 - $840 = $13,160

The bank can loan out $13,160 of the initial $14,000 deposit.

Peaches varied directly as apples. when there were 40 peaches, there were 120 apples. how many apples went with 500 peaches?

Answers

Given that peaches varied directly as apples. then:
let the number of peaches be p and that of apples be a
hence
p=ka
where
k is constant of proportionality given by:
k=p/a
when:
p=40, a=120
thus
k=40/120=1/3
thus the equation will be:
p=1/3a
thus the number of apples where there are 500 peaches will be:
500=1/3a
multiplying both sides by 3 we get:
500×3=1/3a×3
a=1500

Miguel’s teacher asked him to color 4/8 of his grid. He must use 3 colors: red, blue, and green. There must be more green sections than red sections. how can Miguel color the sections of his grid to follow all the rules.

Answers

color 2/8 of grid in green, 1/8 grid in red and 1/8 grid in blue

How do I do this? Please help

Answers

with intersecting chord lengths multiplying the 2 given lengths of one chord needs to equal the multiplication of the 2 lengths of the 2nd chord

so on chord FH you have 3.5 and 4.8
 multiply those:  3.5 x 4.8 = 16.8

so now chord GI needs to equal 16.8
 to find Y divide 16.8 by 2.4

y = 16.8 / 2.4 = 7

y = 7


A game involves rolling a fair six-sided die. If the number facing upward on the die is a whole number multiple of three, the player wins an amount equal to the number on the die times $20. If the number is not a multiple of three, the player gets nothing. What is the expected value of a player's winnings on each roll?

Answers

i would say about $10 about 1/6th the time

Answer:

$30

Step-by-step explanation:

To find the expected value, first we find the outcomes for the sample space.

Rolling a 6-sided die, we have

1, 2, 3, 4, 5, 6

There are 2 values that are whole number multiples of 3:  3 and 6.

There is a 1/6 chance of rolling a 3 and a 1/6 chance of rolling a 6.

There is a 1/6 chance of rolling a 1, 1/6 chance of rolling a 2, 1/6 chance of rolling a 4, and 1/6 chance of rolling a 5.

Next we multiply the value won or lost by each probability.

If the player rolls a 3, they win 3(20) = 60.  Multiplying it by its probability, we have

1/6(60) = 60/6 = 10

If the player rolls a 6, they win 6(20) = 120.  Multiplying it by its probability, we have

1/6(120) = 120/6 = 20.

If the player rolls a 1, 2, 4 or 5, they win nothing.  0 times all of these will be 0.

Lastly, we add together these products:

10+20+0+0+0+0 = 30


A mirror frame in the shape of an oval is shown below. The ends of the frame form semicircles:

An oval is formed by a rectangle with semicircles at each end. The length of the rectangle is 62 inches. The width of the rectangle is 27 inches.

Which of the following is the perimeter of the inner edge of the frame?

(π = 3.14)

146.78 inches

208.78 inches

293.56 inches

347.56 inches

Answers

To solve this problem you must apply the proccedure shown below:

 1. You have that:

 - An oval is formed by a rectangle with semicircles at each end.
 - The length of the rectangle is 62 inches. The width of the rectangle is 27 inches.

 2. Then, the perimeter is:

 P=((3.14)(diameter)/2)(2)+(Lenght of the rectangle)(2)

 P=((3.14)(27 inches)/2)(2)+(62 inches)(2)
 P=208.78 in

Answer: P=208.78 in

i took the test on flvs its right

Which of the following are exterior angles ? Check all that Apply NEED ASAP

Answers

Answer:

∠2 , ∠3 , ∠5 ,∠6  are exterior angles

Step-by-step explanation:

Given : Figure.

To find : Which of the following are exterior angles.

Solution : We have given a figure with angle 1 ,2, 3,4,5,6.

Exterior angle : An angle which lies outside the closed figure.

We can see ∠1 and ∠4 area lies in closed figure.

But all other angle ∠2 , ∠3 , ∠5 ,∠6  are lies outside so, these are the exterior angles.

Therefore, ∠2 , ∠3 , ∠5 ,∠6  are exterior angles

Answer:

5. 6. and 2

Step-by-step explanation:

All exterior ANGLES that are still connected to the triangle. 3 Is not an angle on Triangle 1. It is its own triangle, as well as a point.

A 90% confidence interval for the mean percentage of airline reservations being canceled on the day of the flight is (1.1%, 3.2%). what is the point estimator of the mean percentage of reservations that are canceled on the day of the flight?

Answers

Error = 1/2(Maximum range - Minimum range) = 1/2(3.2-1.1) = % = 0.0105

If p is the point estimator;

Then,
Minimum range = p - Error
Maximum range = p + Error

Solving one of the two expressions,
0.011 = p - 0.0105 => p = 0.011+0.0105 = 0.0215 = 2.15%

Answer:



Read more on Brainly.com - https://brainly.com/question/9975138#read more Error = 1/2(Maximum range - Minimum range) = 1/2(3.2-1.1) = % = 0.0105If p is the point estimator; Then, Minimum range = p - Error Maximum range = p + Error Solving one of the two expressions,0.011 = p - 0.0105 => p = 0.011+0.0105 = 0.0215 = 2.15%

Step-by-step explanation:


Reduce the fraction to lowest terms. 38x^2yz^2/ -19 yz^2z^3

Answers

Hope this is helpful.

Graph the equations to solve the system Y equals 1/3 X +6 and why equals 1/3 X +4

Answers

For this case we have the following functions:
 y = (1/3) x + 6
 y = (1/3) x + 4
 We note that both lines have the same slope in this case given by:
 m = 1/3
 Therefore, the lines are parallel. As they are parallel, they are not cut at any point.
 Thus, the system of equations has no solution.
 Answer:
 The system has no solution (parallel lines)
Graph the equations to solve the system Y equals 1/3 X +6 and y equals 1/3 X +4

Following the formula: y=mx+b,
where:
m= slope
b=y-intercept
As observed in the given equations, they have the same slope which is equal to 1/3 but each have different y-intercept which is 6 and 4.

Note that two lines are parallel if their slopes are equal and they have different y-intercepts. 

Upon graphing, it had seen that the two functions are parallel.
See attached picture for the graph.

Two apples and three peaches cost $1.65. three apples and two peaches cost $1.60. what is the cost of one peach

Answers

Let a = cost of an apple and p = cost of a peach

From the two statements we can create the following system of equations:
2a + 3p = 1.65
3a + 2p = 1.60

Since we want to know the cost of a peach, let's eliminate the "a" terms by creating opposites.  The LCM for 2 and 3 is 6 so I will multiply the top equation by 3 and the bottom equation by -2. This will create opposites to cancel "a" terms.
3(2a + 3p = 1.65)  →  6a + 9p = 4.95
-2(3a + 2p = 1.60) → -6a - 4p = -3.20
The result of adding →       5p = 1.75
The result of ÷ 5 →              p = .35
This means one peach cost .35 or 35 cents
Let number of apples be a and peaches be p.
Number of apples = a
Number of peaches = p

Two apples and three peaches cost $1.65
⇒2a + 3p = 1.65

Three apples and two peaches cost $1.60
⇒3a + 2p = 1.60

System Equations :
[tex]\begin{cases}&2a + 3p = 1.65 ---- (1) \\&3a + 2p = 1.60 ---- (2)\end{cases}[/tex]

[tex]\begin{cases}&\text{Equation (1}) \times3: 6a + 9p = 4.95 ---- (1a) \\&\text{Equation (2}) \times2: 6a + 4p = 3.20 ---- (2a)\end{cases}[/tex]

Equation (1a) - (2a) :
[tex] \begin{aligned} &5p = 1.75 \\&p = 0.35&\end{aligned} [/tex]

Answer: $0.35

(evaluating expressions) what is the value of the expression 2½x + 3⅔y if x = 4 and y = 3? * 21

Answers

2 1/2 (4) + 3 2/3 (3)
10 + 11 = 21

A line passes through (-7, -5) and (-5, 4). a. Write an equation gor the line in point-slope form. b. Rewrite the equation in standard form using integers.
A. Y-5=9/2(x+7);-9x+2u=-53
B. Y+5=9/2(x-7);-9x+2y=53
C. Y+5=9/2(x+7);-9x+2y=53
D. Y+7=9/2(x+5);-9x+2y=31

Answers

[tex]\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ -7 &,& -5~) % (c,d) &&(~ -5 &,& 4~) \end{array} \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{4-(-5)}{-5-(-7)}\implies \cfrac{4+5}{-5+7}\implies \cfrac{9}{2}[/tex]

[tex]\bf \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-5)=\cfrac{9}{2}[x-(-7)] \\\\\\ \boxed{y+5=\cfrac{9}{2}(x+7)}\implies y+5=\cfrac{9}{2}x+\cfrac{63}{2}\impliedby \begin{array}{llll} \textit{and now we multiply}\\ \textit{both sides by }\stackrel{LCD}{2} \end{array} \\\\\\ 2y+10=9x+63\implies \boxed{\stackrel{\textit{standard form}}{-9x+2y=53}}[/tex]

just a quick note, multiplying both sides by the LCD, whatever it may be, simply gets rid of the denominators.

What percent of 51 is is 40?

Answers

the answer is 78.43%

What is the surface area of this square pyramid?

Round your answer to the nearest tenth.

Answers

The question is to find the surface area of the square pyramid:

This pyramid encloses a volume V, so it has five surfaces, namely:

*One square base.
*four triangular surfaces.

1. Surface area of the square base:

All four sides are equal, so:

As = LxL = (8.4yd)(8.4yd) = 70.56[tex]yd^2[/tex]

2. Area of triangular surfaces:

Given that the angle β=60°, we have four equilateral triangles which have three equal sides each, therefore:

At = [tex] 4(\frac{base.height}{2}) [/tex] = [tex]2L.Ap[/tex]

Now we need to calculate the apothem Ap.

Using trigonometry, we can calculate Ap using the sine function:

sinβ = [tex] \frac{opposite}{hypotenuse} [/tex] = [tex] \frac{Ap}{a} [/tex] 

Given that the triangles are equilateral, then a = L

∴ Ap = (a)(sinβ) = 8.4sin(60°) = (8.4)([tex] \frac{ \sqrt{3} }{2} [/tex]) = 7.275yd

So:

[tex]At = 2(8.4)(7.275) = 122.22 yd^{2}[/tex]

Therefore, the surface area of the pyramid is:

A = As + At = 70.56 + 122.22 = 192.78 [tex] yd^{2} [/tex]


The answer is 192.8 yd²

A translation is applied to the rectangle formed by the points A(−2, 6) , B(2, 6) , C(2, 4) , and D(−2, 4) . The image is the rectangle that has vertices ​ A′(1, 6) ​, ​ B′(5, 6) ​, C′(5, 4) and D′(1, 4) . Select the phrase from the drop-down menu to correctly describe the translation. The rectangle was translated .

Answers

The triangle was translated 3 units to the right horizontally. (x+3, y)
You can just move one of the points to see how it moved. 

Answer:

The answer is 3 units to the right.

Step-by-step explanation:

Craig is designing a new cylinder-shaped can for a pet food company. He wants the height of the can to be 40 mm and the radius of the can to be 1 3/8 times the height of the can. He models the can on a coordinate grid as a rectangle in the first quadrant that will be rotated around the y-axis to create the 3-dimensional can. What will be the diameter of the can?

Answers

The height of the can for this case is given by:
 h = 40 mm
 The radius of the can is given by:
 r = (1 3/8) * h
 Substituting values:
 r = (1 3/8) * 40
 r = 55 mm
 Therefore, the diameter of the can is:
 d = 2 * r
 d = 2 * 55
 d = 110 mm
 Answer:
 The diameter of the can will be:
 d = 110 mm

WILL MARK BRAINLIEST! PLEASE HELP
In triangle PQR, mP= 43, PQ=7.5 and PR= 8.4. What is mR to the nearest degree?
A. 64
B. 52
C. 41
D. 60

In triangle ABC mA=43, mB=62 and BC=22 in. What is AB to the nearest tenth of an inch?
A. 28.5
B. 15.6
C. 14.1
D.31.2

thank you.

Answers

Part 1) In triangle PQR, mP= 43, PQ=7.5 and PR= 8.4. What is mR to the nearest degree?

we know that
the law of cosines establishes that
c²=a²+b²-2*a*b*cos C

in this problem

c=QR
a=PQ=7.5
b=PR=8.4
C=angle P=43°
c²=a²+b²-2*a*b*cos C----> c²=7.5²+8.4²-2*7.5*8.4*cos 43°
c²=34.66--------> c=5.89
QR=5.9 

applying the law of sines
7.5/sin R=5.9/sin 43-----> 7.5*sin 43=5.9*sin R---> sin R=7.5*sin 43/5.9
sin R=0.8669---------> R=arc sin (0.8669)----> R=60.11°----> R=60°

the answer Part 1) is the option
D. 60

Part 2) In triangle ABC mA=43, mB=62 and BC=22 in. What is AB to the nearest tenth of an inch?

we know that 
∠C=180-(62+43)-----> ∠C=75°

Applying the law of sines
22/sin 43=AB/sin 75------> AB=22*sin 75/ sin 43-----> AB=31.16 in
AB=31.2 in

the answer Part 2) is
D.31.2

Michelle will be 72 years old in eighteen years. How old is Michelle now?

Answers

Michelle would be 54 years old. 

72-18=54
She is 54 years old, since you would subtract 18 from 72.

A total of 589 tickets were sold for a play. They were either adult tickets or student tickets. There are 61 fewer student tickets sold than adult tickets. How many adult tickets were sold?

HELLLPP ASAPPP

Answers

Adult tickets: 325
Student Tickets: 264

You can get this by setting adult tickets equal to x and student tickets equal to x - 61. Then you can set equal  to 589 and solve for x. 

2x-14y= -16 solve for x ..

Answers

The first step for solving this expression is to move the variable to the right side of the equation and then change its sign.
2x = -16 + 14y
Now divide both sides of the equation by 2.
x = -8 + 7y
Since we cannot simplify this equation any further,, the correct answer will be that x = -8 + 7y.
Let me know if you have any further questions.
:)

2x - 14y = -16

Move all the terms without the variable on the other side of the equation. Add 14y to both sides of the equation.

2x = -16 + 14y

Divide both sides by 2.

x = -8 + 7y is your answer.

What is the eleventh term in the sequence 17, 24, 31, 38…?

Answers

I got 87. hope this helps!

An acrobat was launched toward a water tank, with an upward velocity of 48 feet per second. The launch point was 32 feet below the water level in the tank. Use the quadratic equation 0 = -16t2 + 48t – 32 to find how much time, t, it took for her to reach the water level in the tank.

Answers

Answer:

1 or 2 seconds

Step-by-step explanation:

Math papa

Answer:

B. 1 or 2 seconds

Step-by-step explanation:

ttm

The volume of a right rectangular prism is 573.3 cm³. The length of the right rectangular prism is 7.35 cm and the height is 16.25 cm. What is the width of the right rectangular prism? Enter your answer in the box.

Answers

The width of the right rectangular prism is 4.8. You multiply 7.35 by 16.25 and then you divide 573.3 by that answer. So, 573.3 ÷ 119.4375 = 4.8. Hope this helped

Answer:

4.8

Step-by-step explanation:

Robin says that polynomials are closed under division. Brad adamantly disagrees. Who is correct? Justify your answer.

Answers

Brad is correct.

Polynomials do not include negative exponents; this means there can be no variables in the denominator.  If two polynomials do not divide evenly, the remainder is written as a fraction with the divisor (which can include a variable) in the denominator.  This is not a polynomial.

A flower vase has 5 white lilies, 4 pink roses, and 6 yellow carnations. one flower is chosen at random and given to a woman. another flower is then chosen at random and given to a different woman. what is the probability that both flowers are pink roses?

Answers

0.267 should be right 

Answer:

Step-by-step explanation:

The probability that the first flower is a pink rose is  4 /15.

The probability that the second flower is a pink rose is  3 /14 .

Therefore, the probability that both flowers are pink roses is  

4 /15  ·  3 /14 = 0.057

A rectangle has a length that is 3 times the width. Use the formula P = 2l +2w to determine the length if the perimeter is 32 and the width is 4 a. 12 c. 32 b. 8 d. 4

Answers

Let the width be 4
Let the lenght be 3x because it is 3 times the width
P = 2L + 2W
32= 2(3X)+2(4) Combine like terms
32 = 6x+ 8 solve for x
24=6x divide
x= 4
Answer: D

If there is a ratio of 3 to 2, than how many are there in the first number if there is a total of 80?

Answers

Answer:

  48

Step-by-step explanation:

The total number of "ratio units" is 3+2 = 5, so each stands for 80/5 = 16 items. Then 3 ratio units stand for 3×16 = 48 items.

  3 : 2 = 48 : 32

The first number is 48.

What is the area of a circle with a radius of 13 millimeters?
(Use 3.14 for Pi.)

Answers

Final answer:

The area of a circle with a radius of 13 millimeters is calculated using the formula πr², which equals 530.66 mm².

Explanation:

The area of a circle is calculated using the formula πr², where 'r' represents the radius of the circle and 'π' (Pi) is a mathematical constant approximately equal to 3.14. When you have a circle with a radius of 13 millimeters, you would substitute 13 into the formula in place of 'r'.

So, the calculation for this circle's area becomes π*(13)² = 3.14 * 169. When you calculate this, you get 530.66 mm². Therefore, the area of a circle with a radius of 13 millimeters is 530.66 mm².

Learn more about Area of a Circle here:

https://brainly.com/question/28642423

#SPJ3

Other Questions
Which of the following describes how vestigial structures provide evidence to support that life changes over time? HELP PLZZZZZ I don't know how to do this question, help!! How many calories are required to raise the temperature of 105 g of water from 30.0C to 70.0C? One ounce is equal to 28.35 grams. convert 16 ounces to grams round your answe to the nearest tenth how did Emmy von quistorp die? Where do you put your two fingers when checking your heart rate on your neck? What is an organism that lives on or in another organism and uses the other organism for nourishment to the detriment of the host organism? What is the best option for your retirement plan when you leave a company? What is the keq value for the following reaction at equilibrium at a temperature of 298K if the concentrations (in mol/L) of the reactants and products are [N2O4] = 0.0450 and [NO2] = 0.0161? N2O4(g) 2NO2(g) The mean is 18.1 The z-score for 13.0 is -1.7 What is the standard deviation for this data set? Rewrite the following sentences using vivid adjectives and avoiding slang and nonstandard English.The horse ran fast as the other horses ran fast, too. Complete the sentence using the correct term. Physical abuse is any _ physical injury caused to a child, which includes hitting, slapping, and pinching. What is the value of X 56 What are you giving Max for his birthday?______ A: I give him a gold watch. B: I'm giving a gold watch him. C: I'm giving him a few money. D: I am giving him anything! E: I'm giving him this antique watch. HELP FAST PLEASE (35 points)Basic Information Name: Gender: Political Views: Relationship Status: Personal Information Interests: Favorite Music or Book: Favorite Quotation: Work Experience Work Experience: Entrepreneur Idea: Success of the Business: Incentives and Motivation: Profits and Achievements: Growth of the Business (Be sure to use the terms culture and cultural diffusion in this section. Include a map image of the business locations.): About Me (Note: Use this section to address any assessment requirements you have not yet covered. Remember, your profile must explain how the person is an entrepreneur, what the persons incentives were, and how growth has led more people to be familiar with the entrepreneurs business.) The oceanic zone is _____. mostly photic mostly aphotic mostly benthic Explain how a change in thermal energy causes matter to change From one state to another.Give two examples The accuplacer tests cover all of the following except:A. ReadingB. MathC. EnglishD. Science Choose all that apply. What are two things the Jews were blamed for by German propaganda?1. Economic depression2. Natural disasters3. Germany's defeat in World War 14. Underselling German companies Why was the port of New Orleans important to the United States?