Factor completely: 6b - 8ab + 15 - 20a

Answers

Answer 1

For this case we have the following expression:
6b - 8ab + 15 - 20a
We can rewrite the expression factoring.
We have then:
(4a-3) * (- 2b-5)
Checking we have:
-8ab-20a + 6b + 15
The resulting expression is the same.
Answer:
(4a-3) * (- 2b-5)

Related Questions

If i = sqrt -1 what is the value of i3

A. -1
B. i
C. 1
D. -i

Answers

i^3 = i * i * i = i^2 * i = -1 * i = -i Answer

Its D

Answer:

The value of i3 is equal to D. -i

Step-by-step explanation:

We can find the answer by taking the definition of i :

i = sqrt(-1) (1)

i ^2 = (sqrt(-1)) ^2 = -1 (2) because square root and squaring are inverse operations

so from (2)

i ^3= i ^2* i = -1*i = -i

So -i is the final answer or – (sqrt(-1)) which is the same

A test has multiple choice questions with 5 choices for each answer; only one answer is correct for each question. Suppose a student guesses the answer to each question. Assuming the guesses are independent, find the probability that the student will not guess correctly on any one question.

a. 0
b. 1/5
c. 4/5

Answers

Number of choices per question = 5
Number of wrong answers = 4
P(wrong answer) = 4/5

Answer: 4/5

The value of the probability that the student will not guess correctly on any one question is,

⇒ 4 / 5

What is mean by Probability?

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

A test has multiple choice questions with 5 choices for each answer; only one answer is correct for each question.

Now, Suppose a student guesses the answer to each question.

Hence, we get;

The value of the probability that the student will not guess correctly on any one question is,

⇒ 4 / 5

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ3

Please give an explanation with you answer, thank you :)

Answers

[tex]f(x)=2( \sqrt[3]{27})^{2x} [/tex]

Here 2 on left most side is the coefficient, 2x is the exponent and the of the function is cube root of 27.

So,

[tex]Base= \sqrt[3]{27} \\ \\ Base= \sqrt[3]{3^{3} } \\ \\ Base=3 [/tex]

Thus, the simplified base for the function is 3. So correct answer is option B

Rearrange the formula m =
x + y / 2
for y.
A) y = 2mx
B) y = 2m - x
C) y = x - 2m
D) y = 2m + x

Answers

we have that
m = (x + y) / 2
x+y=2*m
y=2*m-x

the answer is the option
B) y = 2m - x

correct answer is
y=2m-x

cross multiply then subtract x

hope this helps love

Find area of trapezoid using the Pythagorean theorem

Answers

You should either divide or add

This is a multistep problem. So, let's split it up.

Finding the height:
We need to look at the equation for find the diagonal of a triangle.
a²+b²=c²
We don't have leg one, but we have leg two. If we subtract the longer base by the shorter base, we have leg two.
11-7=4
a²+4²=5²
a²+16=25; let's subtract 16 from both sides.
a²=9
a=3

So, the height is 3.

Finding the area of the trapzoid:
Let's look at the formula for finding the area.
(b1+b2)(h÷2)=A; let's fill the variables in.
(7+11)(3÷2)=A
(18)(1.5)=A
27=A

So, the area of the trapezoid is 27 in²

Eric plans to rent a car for a day from Easy Car Rental. He has a coupon for 25% off the daily base rate of $40. He will also have to pay an additional $0.15 for each mile he drives. Which expression represents the situation?

Answers

Let x represent the number of miles he drives

Base rate: 40 - (40 · 0.25) plus mileage: 0.15 · x
Total cost = 30 + 0.15x

If an egg is thrown up and off the roof of a 100 foot building with an initial upward velocity of 10 feet per second, how long until it hits the ground?

Answers

The equation of the height as a function of time for this case is given by:
h (t) = - 16t ^ 2 + 10t + 100
By the time the egg hits the ground we have:
-16t ^ 2 + 10t + 100 = 0
We look for the roots of the polynomial:
t1 = -2.2069555463432966
t2 = 2.8319555463432966
As it is about time, we use the positive root:
t = 2.83 s
Answer:
it hits the ground at:
t = 2.83 s

20 POINTS AND A FOLLOW plus BRAINIEST IF RIGHT 1. What is the area of sector GHJ, given that 0=pi/4 radians ? Express your answer in terms of pi and as a decimal rounded to the nearest tenth. Show your work.

2. Construct the circle that circumscribes triangle DEF . Use a straightedge and a compass.
(show work by step)

Answers

1. To solve this we are going to use the formula for the area of a sector of a circle: [tex]A= \frac{1}{2} r^2 \alpha [/tex]
where
[tex]A[/tex] is the area of the sector
[tex]r[/tex] is the radius of the circle
[tex] \alpha [/tex] is the angle in radians

We know from our problem that the radius of the circle is 5 cm and the angle of the sector is [tex] \frac{ \pi }{4} [/tex], so [tex]r=[/tex] and [tex] \alpha = \frac{ \pi }{4} [/tex]. Lets replace those values in our formula:
[tex]A= \frac{1}{2} r^2 \alpha [/tex]
[tex]A= \frac{1}{2} (5)^2( \frac{ \pi }{4} )[/tex]
[tex]A= \frac{25 \pi }{8} [/tex]
[tex]A=9.8[/tex]

We can conclude that the area of sector GHJ in terms of pi is [tex] \frac{25 \pi }{8}[/tex] [tex]cm^2[/tex], and as a decimal rounded to the nearest tenth is 9.8 [tex]cm^2[/tex].

2. To construct the circle that circumscribes triangle DEF, we are going to draw the perpendicular bisectors of triangle DEF, and then we are going to draw the circle with radius at the interception point of the bisectors. Remember that the perpendicular bisector are the lines that passes trough the midpoint of the segment and are perpendicular to the segment.

Jacob is cutting a tile in the shape of a parallelogram. Two opposite angles have measures of (6n − 70)° and (2n + 10)°. What are the two different angle measures of the parallelogram-shaped tile? 20° and 160° 50° and 130° 30° and 150° 70° and 110°
URGENT

Answers

Answer:

Step-by-step explanation:Jacob is cutting a tile in the shape of a parallelogram. Two opposite angles have measures of (6n − 70)° and (2n + 10)°.

Answer : 50° and 130°

Final answer:

To find the angle measures of the parallelogram, we set the expressions for opposite angles equal to each other, solve for 'n', and then determine the angle measures, which are 50° and 130° respectively.

Explanation:

The students wants to find the two different angle measures of a parallelogram-shaped tile where two opposite angles are given by the equations (6n − 70)° and (2n + 10)°. Since opposite angles in a parallelogram are equal, we can set these two expressions equal to each other to find the value of 'n':

6n − 70 = 2n + 10

Solving for 'n', we get:

4n = 80

n = 20

Now, we'll plug the value of 'n' back into the expressions to get the angle measures:

6n − 70 = 6(20) − 70 = 120 − 70 = 50°

2n + 10 = 2(20) + 10 = 40 + 10 = 50°

Since opposite angles are equal in a parallelogram, the other two angles must also add up to 180°. Therefore, the other two angles are 180° - 50° = 130°. The angles of the parallelogram are 50° and 130°.

Simplify the expression 9xy + 6xy − 2xy. What is the coefficient of the simplified expression?

Answers

Hi there!

To find our answer we need to collect the terms of the expression.

[tex]9xy + 6xy - 2xy = \\ 15xy - 2xy = \\ 13xy[/tex]

The coefficient (which is the number just before the variable) of the simplified expression is 13.

9xy + 6xy - 2xy
13xy is the answer. THey are all like terms so just add then subtract.

What’s the quadratic expression for this one

Answers

We have the following expression:
(2x + 5) * (7-4x)
Rewriting we have:
14x - 8x ^ 2 + 35 - 20x
Grouping terms with the same exponent:
-8x ^ 2 + x (14-20) + 35
Rewriting:
-8x ^ 2 - 6x + 35
Answer:
the quadratic expression for this is:
-8x ^ 2 - 6x + 35

A vegetable store sold 3 tons of vegetables less on the first day than on the second, and on the third day it sold 5/9 of the amount sold in the first two days. How many vegetables was the store selling every day if it sold altogether 98 tons of vegetables for the three days?

Answers

let
x---------> quantity (ton) of vegetables sold the first day
y---------> quantity (ton) of vegetables sold the second day
z---------> quantity (ton) of vegetables sold the third day

we know that
x=y-3---------> equation 1
z=(5/9)*(x+y)------> equation 2
x+y+z=98-----> equation 3
substitute equation 2 in equation 3
x+y+[(5/9)*(x+y)]=98----> multiply by 9----> 9x+9y+5x+5y=882
14x+14y=882-----> equation 4

to resolve the equations system formed by
x=y-3
14x+14y=882

using a graph tool
see the attached figure
the solution is
x=30
y=33
x+y+z=98----> z=98-(x+y)----> z=98-63---> 35

the answer is
vegetables sold the first day----> 30 ton
vegetables sold the second day----> 33 ton
vegetables sold the third day------> 35 ton

Answer:
amount sold on first day = 30 tons
amount sold on second day = 33 tons
amount sold in third day = 35 tons

Explanation:
Assume that the amount of vegetables sold on the second day is x.
We are given that:
Amount of vegetables sold on the first day is 3 tons less that sold on the second day.
This means that:
amount sold on first day = x - 3
Amount of vegetables sold on the third day is 5/9 the amount sold on the first two days.
This means that:
amount sold on third day = (5/9) (x + x - 3)
amount sold on third day = [tex] \frac{10}{9} x - \frac{5}{3} [/tex]

Now, we know that:
Total amount sold is 98 tons.
This means that:
98 = x - 3 + x + [tex] \frac{10}{9} x - \frac{5}{3} [/tex]

Now, we will solve for x as follows:
98 = [tex] \frac{28}{9} x - \frac{14}{3} [/tex]

882 = 28x - 42
882 + 42 = 28x
924 = 28x
x = 924/28
x = 33 tons

This means that:
amount sold on first day = x - 3 = 33 - 3 = 30 tons
amount sold on second day = x = 33 tons
amount sold on third day = [tex] \frac{10}{9} x - \frac{5}{3} [/tex] = [tex] \frac{10}{9} (33) - \frac{5}{3} [/tex] = 35 tons

Hope this helps :)

Find the surface area of the following triangular prism

Answers

The surface area of the triangular prism is 144 ft³

How to find the surface area

The surface area of the prism is solved using the formula

= 2 * area of the base + Lateral surface area

Area of the base

= 2 * 1/2 * 6 * 8

= 48

Lateral surface area

= (10 + 6 + 8) * 4

= 24 * 4

= 96

Total surface area

= 48 + 96

= 144 ft³

What is the length of XPY in terms of pi?

Answers

circumference = 2 x PI x r

= 2 x 3.14 x 30 = 60 PI
the area from x to y = 90 degrees
so XPY would be 360 - 90 = 270 degrees or 3/4 of a full circle

so XPY = 60 x 3/4 = 45 PI meters

The length of arc XPY in the given circle with a radius 30m is in terms of pi is 45π.

It is given that

The radius r of the circle = 30m

Central angle α intended by arc XPY = 360-90 = 270°

α in radians = 270*π/180

α in radians = 3π/2

What is the formula for arc length?

Arc length is the product of the central angle α and radius r of the given circle.

So, length of arc XPY:

l= r*α(in radians)

l =30* 3π/2

l = 45π

Therefore, the length of arc XPY in terms of pi is 45π.

To get more about arc length visit:

https://brainly.com/question/2005046

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Simplify by using radical. Rationalize denominators. 2a^-1\2

Answers

2a^-1/2 = 2/ a^1/2= 2/SR of a= 2 SR of a/a

SR equals the square root sign

ANOTHER FILL IN THE BLANKS QUESTION, MARKING BRAINLIEST FOR CORRECT ANSWER

Answers

Hi, again!
First blank: multiplication property of equality
Both sides of the equation were multiplied by (1/2).

Second blank: m<E
Angle E is an inscribed angle intercepting arc FGD, so by the inscribed angle theorem, its measure is half the measure of the arc.

Third blank: m<G
Same explanation as the prior blank

Fourth blank: substitution property of equality
Since angle E is equal to half the measure of arc FGD, we can replace that term. Likewise with angle G.

A map is drawn using a scale of 80 mi to 1 cm. On the map , the two cities are 7.5 cm apart. What is the actual distance between the two cities ??

Answers

we know that
scale =measure in the map/measure in the actual
measure in the actual=measure in the map/scale
scale=1 cm/ 80 mi
for
measure in the map=7.5 cm
measure in the actual=?
measure in the actual=7.5 /(1/80)-----> 7.5*80-----> 600 mi

the answer is
the actual distance between the two cities is 600 miles

A bag contains 12 red marbles and 6 blue marbles. two marbles are drawn with replacement. find the probability.

Answers

248376203488451-5814-0395681-03581-403951-0958904680968590147514095714095714-5714578140587109p54

A five question multiple choice quiz has five choices for each answer. Use the random number table provided, with 0’s representing incorrect answers, and 1’s representing correct answers to answer the following question: What is the experimental probability of correctly guessing at random exactly two correct answers?

Answers

Found a similar question online. Is the attached picture the same one as yours? Are these the choices also?
a. 5%
b. 65%
c. 45%
d. 25%

The answer is Letter D - 25%. Use the table and count the number of guesses that has two correct answers represented by 1. 01010, 10001, 11000, 01001, 00011 = a total of 5 numbers having 2 correct guesses out of 20 questions. Which means that there's twenty-five percent possibility of correctly guessing the answer out of 20 questions. 5/20 = 25%

Probability of correctly guessing at random exactly two correct answers is; 25%

How to find the experimental probability?

The table is missing but from the table shared by the first answer, we can count the number of guesses that has two correct answers.

Now, the ones that have two number of 1's are referred to as correct answers. Thus, counting them in the question, they are;01010, 10001, 11000, 01001, 00011.

Thus, there are 5 posssible correct answers out of 20. Thus;

Probability of correctly guessing at random exactly two correct answers is; 5/20 = 25%

Read more about Experimental Probability at; https://brainly.com/question/8652467

#SPJ5

What is the equation, in slope-intercept form, of the line that passes through (0, 3) and has a slope of −6?
y = 3x + 6
y = 3x − 6
y = −6x − 3
y = −6x + 3

Answers

Y = 3x - 6, slope is the last number in the equation.

Answer:

y=-6x+3

Step-by-step explanation:

Using the formula,

[tex](y-y_{1})=m(x-x_{1})\\(y-3)=(-6)(x-0)\\y-3=-6x\\y=-6x+3[/tex]

Kym spends an average of $78 per week on groceries. She can save 10% of her total grocery bill by joining the store's free shopper's club.About how much money will Kym save in a year (52 weeks) if she joins the shopper's club

Answers

Total amount Kym can save in 52 weeks will be given by:
(amount saved per week)×(number of weeks)
amount saved per week:
10/100×78
=$7.8
The total amount saved for 52 weeks will be:
52×7.8
=405.6

Assuming that one-pint is equal to 473 ml., how many pints can be found in one liter?

Answers

we know that
1 pint is equal to --------> 473 ml
1 liter is equal to--------> 1000 ml
so
1 pint is equal to --------> 473 ml
x pints------------------> 1000 ml
x=1000/473-----> 2.11 pints

the answer is
2.11 pints can be found in one liter

For this case we can make the following rule of three:
1 pint -------> 473 ml
x -------------> 1000 ml
Clearing x we have:
x = (1000/473) * (1)
x = 2.114164905
Rounding off we have:
x = 2
Answer:
can be found 2 pints in one liter

x/3+6=9
what does x equal
x=___?

Answers

9514 1404 393

Answer:

Step-by-step explanation:

x/3 +6 = 9 . . . . . given

x/3 = 3 . . . . . . . subtract 6 from both sides

x = 9 . . . . . . . multiply both sides by 3

Now we have to,

find the required value of x.

→ x/3 + 6 = 9

→ x/3 = 9 - 6

→ x/3 = 3

→ x = 3 × 3

→ [x = 9]

Hence, 9 is the value of x.

5. A high school has 16 math teachers for 1856 math students. What is the ratio of math teachers to math students?

Answers

The answer is 16:1856

The ratios are calculated to know the quotient of two quantities. In order to find the ratio, the first quantity is written in numerator i.e. the upper part of the fraction and the second quantity is written in denominator i.e. the lower part of the fraction.

Here, it is given that the total number of Maths teachers are = 16

Total number of Maths students are = 1856

The ratio of Maths teachers to Maths students is calulated as -

Ratio of Maths teachers to Maths students = [tex] \frac{Maths Teachers}{Maths Students} [/tex] = [tex] \frac{16}{1856} [/tex]

Ratio of Maths teachers to Maths students = [tex] \frac{1}{116} [/tex] = 1:116

Karen makes $5 per hour baby-sitting and $12 per hour giving music lessons. one weekend, she worked a total of 18 hours and made $139. how many hours did she spend baby-sitting?

Answers

Let the number of hours she spent in baby- sitting is x

and the number of hours she spent in music lessons is y.

Now, we have been given that she worked a total of 18 hours. Hence, we have

[tex]x+y=18\\ y=18-x...............................(1)[/tex]

And she made $139. Thus, we have

[tex]5x+12y=139..............................(2)[/tex]

Substituting the value of y from equation 1 in 2, we get

[tex]5x+12(18-x)=139\\ 5x+216-12x=139\\ -7x=-77\\ x=11[/tex]

Therefore, she spent 11 hours in baby-sitting.

Final answer:

Karen spent 11 hours baby-sitting and 7 hours giving music lessons.

Explanation:

Let x be the number of hours spent baby-sitting, and let y be the number of hours spent giving music lessons.

We are given the following information:

Karen makes $5 per hour baby-sitting, so she earned 5x dollars from baby-sitting.
Karen makes $12 per hour giving music lessons, so she earned 12y dollars from giving music lessons.
She worked a total of 18 hours, so x + y = 18.
She made a total of $139, so 5x + 12y = 139.

We can now set up a system of equations:

x + y = 18
5x + 12y = 139

To solve this system, we can use substitution or elimination method. Let's use the elimination method:

Multiply the first equation by 5 to make the coefficients of x the same: 5x + 5y = 90.
Subtract this new equation from the second equation: (5x + 12y) - (5x + 5y) = 139 - 90.
Simplify both sides of the equation: 7y = 49.
Divide both sides of the equation by 7: y = 7.
Substitute y = 7 into the first equation: x + 7 = 18.
Solve for x: x = 11.

Therefore, Karen spent 11 hours baby-sitting and 7 hours giving music lessons.

Learn more about Solving Systems of Equations here:

https://brainly.com/question/29050831

#SPJ11

a speed camera takes two photographs of a car

Answers

Hello!

First you have to count how many tallies the car went 9 tallies

Multiply the amount of tallies by how far they represent

9 * 0.8 = 7.2 meters

The car when 7.2 meters in half a second so we double this to get how fast it was going a second

7.2 * 2 = 14.4

The answer is 14.4 m/s

Hope this helps!

Answer:The answer is 14.4 m/s

Step-by-step explanation:

Paula caught a tarpon with a weight that was 11 times as great as the weight of a permit fish she caught. The total weight of the two fish was 180 pounds. How much did each fish weigh?

Answers

[tex]11 + 1 = 12 \\ 180 \div 12 = 15 \\ 15 \times 1 = 15 \\ 15 \times 11 = 165[/tex]
Tarpon=165
Permit=15

The weight of the permit fish will be 15 pounds and the weight of tarpon will be 165 pounds

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Assume that the weight of the permit fish is x pounds.

Then the weight of the tarpon would be 11x pounds.

According to the question, we can write equation as -

x + 11x = 180

12x = 180

x = 15

Weight of permit fish = 15 pounds

Weight of tarpon = 11 x 15 = 165 pounds

Therefore, the weight of the permit fish will be 15 pounds and the weight of tarpon will be 165 pounds.

To solve more questions on equation modelling, visit the link below-

https://brainly.com/question/729793

#SPJ5

The sum of the square of a positive number and the square of 44 more than the number is 250250. what is the number?

Answers

let p positive number:

p²+44²>250250

p²>250250-44²

p²>248314

take the square root of both sides:

√p²>+√248314

p> 498.3 or 500 is the number

In the year 2000, there were 200,000 cell phone subscribers in a city in New York. The number of subscribers increased by 60 percent per year after 2000. Which equation can be used to model the number of subscribers, y, in the city t years after 2000?
A) y=200,000(1+60)t
B) y=200,000(1+0.6)t
C) y=200,000(1-60)t
D) y=200,000(1-0.6)t

Answers

The first step is to calculate the percentage increase for each year.
If the subscribers increase by 60%, it means that the subscribers will be (100+60)% of the previous year.

(100+60)% = (100/100 + 60/100)
(1 + 0.6)

After 2,000, the subscribers will be 200,000×(1+0.6).
For the following years the 200,000×(1+0.6)t

So, the value of y will be given by,

Y=200,000(1+0.6)t

Answer: The answer is B

Step-by-step explanation:

A painter places an 8.5 ft ladder against a wall. the bottom of the ladder is 4 ft from the base of the wall. how high up the wall does the ladder reach?

Answers

Use the Pythagorean Theorem:
a² + b² = c²
4² + b² = 8.5²
16 + b² = 72.25
b² = 56.25
b = 7.5

The ladder reaches a height of 7.5 ft on the wall

Other Questions

Use a calculator to find the mean and standard deviation of the data. Round to the nearest tenth.20, 16, 18, 9, 20, 16,14A. mean=15.9 standard deviation= 3.6B. mean= 16 standard deviation= 12.7C. mean= 16.1 standard deviation= 3.6D. mean= 16.1 standard deviation= 12.7 The soviet union and the united states became bitter rivals during the What is the degree of the polynomial function f(x) = 2x3 + 7x5 4x 12? Which is an example of a simple sentence?a.because animal testing is so cruel, it should be stopped immediately.b.the practice of animal testing should be stopped and the labs dismantled.c.animal testing is cruel because animals suffer horrible deaths.d.animal testing is a cruel way to advance the progress of science? N2 (g) + 3H2 (g) -->2 NH3 (g) The equation above is the equation for the Haber process. In a certain reaction, you start with 3.0 moles of nitrogen and 5.0 moles of hydrogen, How much of the excess reactant will be left over after the reaction? How might an ecologist analyze how an increase in the population size of copperheads would affect the rest of the ecosystem? The imaginary lines highlighted on the map travel from north to south and are used to measure distance from the Prime Meridian. They are __________. The process of redistricting can present problems for congressional representation because ________. question 31 options:a.districts are often drawn to benefit partisan groupsb.states have been known to create more districts than they have been apportionedc.districts must include urban and rural areasd.states can gain but never lose districts Which accurately shows how to use inverse operations to find the value of a in a + 5 = 14? Figurative language examples in romeo and juliet act 4 scene 2 In qam with 2 possible amplitudes, how many possible states What does it mean when you have a black cut in your mouth? A grocer stacks oranges in a four-sided pyramid that is 7 layers high. How many oranges are in the pile?A.504B.840C.140D.120 Answer these questions and label each answer with the correct number.1. List the stages in the technology design process.2. What are prototypes used to test?3. Why do engineers redesign a product after testing a prototype?4. To whom do engineers communicate the solution?Thanks! En que se diferencia la vejetacion de estepa y la vejetacion del desierto Which of freud's levels of consciousness consists of thoughts and feelings that can be easily brought into immediate awareness? Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 3 - 4 sin Nick has six sticks of the following length: 3 cm, 3cm, 5cm, 9cm, 11cm and 13 cm. How many different triangles can he make using three of these sticks 8.Howmet Corporation needs $200,000 in 5 years.Find the required quarterly payment into a sinking fund if funds are invested in an account earning 10% per year compounded quarterly.$38,050.00$6,716.00$32,760.00$7,830.00 A data ________ is the structure and organization of data which involves fields records and files