Mathematics Middle School

Which of the binomials below is a factor of this trinomial? x2 + 14x + 40

Answers

Answer 1

Answer:x+4

Step-by-step explanation:

Answer 2

Answer: x + 10

Step-by-step explanation:

Related Questions

A new car is purchased for 20300 dollars. The value of the car depreciates at 8.75% per year. What will the value of the car be, to the nearest cent, after 12 years?

Answers

Answer:

$6,765.35.

Step-by-step explanation:

Here we have to use the rate of depreciation, the initial value and the total time to find the final value with this formula

[tex]A=A_{0}(1-r)^{t}[/tex]

Where [tex]A[/tex] is the final value, [tex]A_{0}[/tex] is the initial value, [tex]r[/tex] is the rate of depreciation and [tex]t[/tex] is the time.

Replacing all values, we have

[tex]A=20300(1-0.0875)^{12}[/tex]

[tex]A=6765.35[/tex]

Therefore, after 12 years the car will value $6,765.35.

This room has soda stains on the floor. Tyler needs a bigger rug than this to cover it. Perform a dilation on the blue rug to cover the stain. Be sure to specify the scale factor used.

Answers

You could scale the blue rug by 2 making it a 4 by 4.
Scaling it by anymore will work bit scaling it by 2 will be the smallest dilation that will satisfy this problem.
diolate the rug to twice the size of the blue rug

You walk 2 miles in 1/
2 hour. At that rate, how long will it take you to walk 3 miles?

Answers

Hello!

1/2 = 0.5 as a decimal

0.5 ÷ 2 = 0.25

That means you walk 1 mile in 0.25 of an hour. Multiply this by three:

0.25 × 3 = 0.75

Answer:

It will take you 0.75 (or 3/4) hour to walk 3 miles.
The answer is:  " [tex] \frac{3}{4} [/tex] mi. "  ;  or, write as:  " 0.75 mi. " .
__________________________________________

Write a proportion.  
__________________________________________
    
   [tex] \frac{(2) mi}{(0.5) h } = \frac{(3) mi.}{(x)h} [/tex] ;

Solve for "x" , [ (in units of "h"; (hours) ] ; 

Note:  "Cross-multiply" ; 

Note:  Given (a/b) = (c/d) ;   → ad = ab ;   (b ≠ 0 ; d≠ 0) ; 

      →   2x = (0.5 * 3) ; 

      →   2x =  1.5  ; 

Divide each side of the equation by "2" ;
   to isolate "x" on one side of the equation; & to solve for "x" ;  

      →   2x / 2 = 1.5 / 2 ; 

to get:

       →   x = 1.5 / 2  = 15/20 = (15÷5) / (20÷5) = 3/4 ;

or:   →   x = 1.5 / 2 = 15/20 = (15*5) / (20*5) = 75/100 = 75 ÷ 100 = 0.75 . 
________________________________________________________

 The answer is:  " [tex] \frac{3}{4} [/tex] mi. "  ;  or, write as:  " 0.75 mi. " .
________________________________________________________

in a packet of skittles,27% are red and 14% are blue. What percentage are not red?

Answers

You just need to find 100%-27%. That is 73%.

Deb has of a brownie. She wants to divide it up into 's of a brownie so she can have it throughout the day. How many 's will she have?

Answers

She can enjoy her original 3/4 brownie divided into six equal parts, each constituting 1/8 of the delectable treat.

Deb possesses 3/4 of a brownie and intends to partition it into smaller portions, each equivalent to 1/8 of a brownie, allowing her to savor it throughout the day.

To determine the number of 1/8 portions she'll obtain, we can perform a simple division.

By dividing 3/4 by 1/8, we essentially multiply the numerator of 3/4 by the reciprocal of 1/8, which is 8/1.

This multiplication yields (3 * 8) / (4 * 1) = 24/4.

Simplifying further, we find that Deb will have 6 portions of 1/8 of a brownie.

Consequently, she can enjoy her original 3/4 brownie divided into six equal parts, each constituting 1/8 of the delectable treat.

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Question

Deb has 3/4 of a brownie. She wants to divide it up into 1/8 of a brownie so she can have it throughout the day. How many 1/8s will she have's will she have?

If the area of a circle is 12.56 square centimeters,then what is the radius

Answers

A= pi r^2
12.56=pi r^2
12.56/pi=r^2
3.997=r^2
√3.997=r
r=1.99
Radius is 1.9

A vendor pays a rock band 1/3 of the total profit from T-shirts and sweatshirts sold at every concert. The vendor paid the rock band $726 after the last concert. If the profit from T-shirts sales was $1,632, what was the profit from sweatshirt sales?

Answers

Well, we know that the rock band receives 1/3 of the profits from sales of sweaters and T-shirts, so in this case, $726 was 1/3 of the profit for that particular concert.
Using this information, we know that is we multiply 1/3 by 3 we get 1 whole, so we also multiply $726 by 3 to get the value of all the profits:
$726×3= $2178
So, if $2178 was the total value of the profits and T-shirt profits were worth $1632, then the value of sweatshirt profits was $2178-$1632= $546
Therefore, your answer is $546

Kim paycheck was 257.20. She put 1/4 of her paycheck into a savings account and used 1/3 of what was left to pay bills.How much money does she have remaining from her paycheck

Answers

257.20 x 1/4 = 64.30
257.20 - 64.30 = 192.90

192.90 x 1/3 = 64.30
192.90 - 64.30 = 128.60

I'm confused about this question, can someone help me

Answers

The distance from Miami to Jacksonville to Tampa will be the same as Tampa to Jacksonville to Miami, you're just retracing your steps.

This is the Associative Property of Addition, which states that it does not matter what order you add numbers, you will always end up with the same answer if you add them correctly.

Choose the correct simplification of the expression a^7b^8/a^4b^4
A: a^11b^12
B: a^3b^4
C: 1/a^3b^4
D: 1/a^3b^2

Answers

The answer is B: a^3b^4

Proof:
Simplify the following:
(a^7 b^8)/(a^4 b^4)

Combine powers. (a^7 b^8)/(a^4 b^4) = a^(7 - 4) b^(8 - 4):
a^(7 - 4) b^(8 - 4)

7 - 4 = 3:
a^3 b^(8 - 4)

8 - 4 = 4:
Answer:  a^3 b^4

PS: I just wish that you put the equation down as it's intended i.e.
a^7b^8/a^4b^4 is not the same as (a^7b^8)/(a^4b^4)
Move .Use the power rule to combine exponents.Add and to get .Move .Use the power rule to combine exponents.Add and to get .
Like...so it would get you:
(a7b12)(a4b8)(a7b12)(a4b8) Move a4a4 .a4a7b12b8a4a7b12b8 Use the power rule aman=am+naman=am+n to combine exponents.a4+7b12b8a4+7b12b8 Add 44 and 77 to get 1111 .a11b12b8a11b12b8 Move b8b8 .a11(b8b12)a11(b8b12) Use the power rule aman=am+naman=am+n to combine exponents.a11b8+12a11b8+12 Add 88 and 1212 to get 2020 .a11b20a11b20

So for the simplification, go with A, bc a11b8+12a11b8+12 looks the closest youre gong to get to whats there so A  a^11b^12 is yours.
~~~~Hope this helps!

What is the solution set?

​ 3.3x−11.6>18.1 ​

Enter your answer in the box.
Please answer fast thanks!

Answers

The solution set is (9, ∞).

To solve the inequality 3.3x-11.6>18.1, we need to isolate the variable x.

First, we can add 11.6 to both sides of the inequality to get 3.3x>29.7.

Then, we can divide both sides by 3.3 to solve for x: x>9.

We can express the solution set using interval notation as (9, ∞).

Therefore, The solution set is (9, ∞).

The solution set for the inequality 3.3x - 11.6 > 18.1 is x > 9, meaning x is greater than 9.

To solve the inequality 3.3x - 11.6 > 18.1, you can follow these steps:

1. Add 11.6 to both sides to isolate the term with x:

3.3x - 11.6 + 11.6 > 18.1 + 11.6

3.3x > 29.7

2. Now, divide both sides by 3.3. Remember, when you divide by a positive number, the inequality sign remains the same:

[tex]\[ \frac{3.3x}{3.3} > \frac{29.7}{3.3} \][/tex]

[tex]\[ x > \frac{29.7}{3.3} \][/tex]

x > 9

So, the solution set for the inequality 3.3x - 11.6 > 18.1 is x > 9.

PLEASE HELP ME SOLVE WILL MARK AS BRAINLIEST IF ANSWERED CORRECTLY AMND SERIOUSLY

k/2+1-1k=-2k

Answers

We can simplify this equation and find the value of k.

k ÷ 2 + 1 - 1k = -2k
k ÷ 2 + 1 = -k
k + 1 = -2k
1 = -3k
k = -1/3
Answer:   k = "- [tex] \frac{2}{3} [/tex]"  ; or, write as:   " -0.667 " .

_________________________________________________________
Given:

(k/2)  + 1  -  1k  = -2k ;  
_________________________________________________________

Add "1k" to each side of the equation:

(k/2)  + 1  -  1k  + 1k  =  -2k + 1k  ;

to get:


(k/2)  + 1  =  -1k ; 

Multiply the ENTIRE EQUATION (both sides) by "2" ;  
               to eliminate the "fraction" ;

2 * [ (k/2) + 1 = -1k ] ;


to get:

k + 2 =  -2k  ;

Subtract "k" from each side of the equation;

k + 2 - k = -2k - k ;

to get:

2  =  -3k ;

↔  

-3k = 2 ;

Divide each side of the equation by "-3" ; to isolate "k" on one side of the equation ; &  to solve for "k" ;

-3k / 3  = 2/-3 ;

to get:

k = - [tex] \frac{2}{3} [/tex]  ; or, write as:   " -0.667 "
______________________________________________ 

if the least value the variable k can be is 12,which of the following inequalities best shows all the possible values of k

Answers

Answer:
k ≥ 12

Explanation:
We are given that the least possible value for k is 12.
This means that k can either be 12 or more.
Translating this into an inequality, we will find that the inequality is as follows:
k ≥ 12

Hope this helps :)

Answer:

Its K ≥ 12

Step-by-step explanation:

Hope this helps! Have a good day!:) and happy St. Patrick's day lol

What is the surface area of this rectangular prism? Rectangular prism with length labeled 12 meters, height labeled 3 meters, and width labeled 4 meters. m²

Answers

the answer to the question is 344
There are 6 sides on the rectangular prism. Two sides have length × width dimension. Two sides have length × height dimension. Two sides have width × height dimension. To find the surface area, we need to find the sum of the area of the six sides.

sa = (2 × l × w) + (2 × l × h) + (2 × w × h)
sa = (2 × 12 × 4) + (2 × 12 × 3) + (2 × 4 × 3)
sa = 96 + 72 + 24
sa = 192

The surface area is 192 m²

Can u guys help me with the visual question please

Answers

which problem is it?

What scale factor was applied to the first rectangle to get the result image?

Answers

I dont know what the images are but scale factor is is a number which scales, or multiplies, some quantity. Technically it is the number you have to multiply on each side that will get you the sides on the smaller or larger rectangle!!!

I hope it helps!!!
- Amana

Answer:

Step-by-step explanation: Add pic so ppl can help

Brett has a $30 online gift voucher. He plans to buy as many books as he can. The cost of each book is s4. There is also a single shipping charge of $2. How many books can he afford without spending more than his gift voucher amount?

Answers

well, 4 times 7 is 28 and then plus 2 is 30! Therefore, he buy at the most 7 books.

General Idea:

When we are working with word problems, we need to follow the below steps:

Step 1: Assign variable for the unknown that we need to find.

Step 2: Write a meaningful mathematical equation using the sentence given

Step 3: Solve the equation by Performing reverse operation by Undoing whatever is done to the variable. Solving means find the value of the variable which will make the equation TRUE.

Applying the concept:

Step 1: Let x be the number of books that Brett can afford without spending more than his gift voucher amount.

Step 2: Writing mathematical equation based on the given sentence "Brett has a $30 online gift voucher. He plans to buy as many books as he can. The cost of each book is $4. There is also a single shipping charge of $2"

[tex] Online \; Gift \; Voucher=Number \; of \; books \; \times \; Cost\;per \; Book \; + \; Single \; shipping \; charge [/tex]

[tex] 30=4x+2 [/tex]

Step 3: Solving equation

[tex] 4x+2=30\\ Subtract \; 2 \; on \; both \; sides\\ \\ 4x+2-2=30-2\\ Combine \; like \; terms\\ \\ 4x=28\\ Divide \; 4 \; on \; both \; sides\\ \\ \frac{4x}{4}= \frac{28}{4} \\ Simplifying \; fraction \; on \; both \; sides\\ \\ x=7 [/tex]

Conclusion:

The number of books that Brett can afford without spending more than his gift voucher amount is 7 !!


Amir is operating a machine that adds sand to a concrete mixture. The machine adds 110 ton of sand to the mixture in 45 minute. Enter a number in each box to complete the statements. Write the ratio that compares 110 ton of sand to 45 minute. The ratio in ton(s) per minute(s) is $$ .

Answers

We can use a proportion box to help us solve this problem. We know that the machine adds 110 tons per 45 minutes. We want to know how many tons can be added per minute. To set up the proportion, we must ensure the units are aligned (as shown in the attached image). Then, we cross multiply and divide. So, the machine can add 2.44 tons of sand per minute. 

sally purchased a rectangular table for her drawing room. The sides of the table are 24 inches and 18 inches. What is the diagonal length of the table?
HELP FOR BRAINLIEST

Answers

C. 30 in would be your answer

The store is 7⁄8 of a mile away from your house. You walked 1⁄5 of a mile towards the store before getting on the bus. If the bus went directly to the store, how many miles long was the bus ride?

Answers

27/ 40-gdhdjjdjdjdjdjdjjdj

27/40 miles long was the bus ride.

What is Fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

The store is 7⁄8 of a mile away from your house.

Distance covered by Walking = 1/5

and, the rest is covered by Bus.

So, the distance covered by Bus

= 7/8- 1/5

= 35/ 40- 8/40

= 27/40

Hence, 27/40 miles covered by Bus.

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simplify the radical expression square root of 64y^10h^5/16y^12h^5

Answers

We assume the variables y and h to be positive.

[tex] \sqrt{\dfrac{64y^{10}h^{5}}{16y^{12}h^{5}}} =[/tex]

[tex] = \sqrt{\dfrac{64}{16} \times \dfrac{y^{10}}{y^{12}} \times \dfrac{h^{5}}{h^{5}}} [/tex]

[tex] = \sqrt{4 \times \dfrac{1}{y^{2}} \times 1} [/tex]

[tex] = \sqrt{\dfrac{4}{y^{2}}} [/tex]

[tex] = \dfrac{2}{y} [/tex]

After the simplification of the  given radial expression [tex]\sqrt{\frac{64}{16}(\frac{y^{10} }{y^{12} } )\frac{h^{5} }{h^{5} } }[/tex] we get [tex]\frac{2}{y}[/tex].

What is radical expression?

A radical expression is defined as any expression containing a radical ([tex]\sqrt{}[/tex]) symbol.

The term underneath the radical symbol is called the radicand.

How to solve radical expression?

To solve a radical expression, simply take the the square root of the radicand.

According to the given question, we have a radical expression

[tex]\sqrt{\frac{64y^{10}h^{5} }{16y^{12} h^{5} } }[/tex]

=[tex]\sqrt{\frac{64}{16}(\frac{y^{10} }{y^{12} } )\frac{h^{5} }{h^{5} } }[/tex]                           ([tex]\frac{x^{m} }{x^{n} } =x^{m-n}[/tex])

= [tex]\sqrt{4(\frac{1}{y^{2} })(1) }[/tex]

= [tex]\sqrt{\frac{4}{y^{2} } }[/tex]

= [tex]\frac{2}{y}[/tex]

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Choose the correct simplification of the expression g to the power of 5 times h to the power of 4 all over g to the second power times h to the third power.

A g7h
B g3h
C g7h7
D g to the third power over h to the seventh power

Answers

Your problem looks like this:
[tex] \frac{ {g}^{5} \times {h}^{4} }{ {g}^{2} \times {h}^{3} } [/tex]
One rule of indicies is that when you divide numbers with indicies and the same base, you minus the indicies.
This means that you just need to do
[tex] {g}^{5} \div {g}^{2} = {g}^{3} [/tex]
and
[tex] {h}^{4} \div {h}^{3} = {h}^{1} = h[/tex]
Therefore, your answer is
[tex] {g}^{3} h[/tex]

Answer:

g3h

Step-by-step explanation:

I got it right

help!!!!!!!! plz I need your help

Answers

-1/2X+3-4X+5+3/2X=-3X+8

Walt received a package that is 2 1/3 inches long, 6 3/4 inches high, and 8 1/2 inches wide. What is the surface area of the package?

Answers

Add whole numbers: 2 + 6 + 8 = 16
Add fractions:

= 1/3 + 3/4 + 1/2

= (8 + 18 + 12) ÷ 24

= 38/24 or 1 14/24 or simplified to 1 7/12

Total surface area = 16 + 1 7/12 or 17 7/12


Answer : The surface area of the package is, [tex]185.9inch^3[/tex]

Step-by-step explanation :

The given package is in cuboid shape. Now we have to calculate the surface area of the package by using volume of cuboid.

Formula used for volume of cuboid is:

[tex]V=2(lb+bh+hl)[/tex]

where,

V = volume of package

l = length of package = [tex]2\frac{1}{3}inch=\frac{7}{3}inch[/tex]

b = width of package = [tex]8\frac{1}{2}inch=\frac{17}{2}inch[/tex]

h = height of package = [tex]6\frac{3}{4}inch=\frac{27}{4}inch[/tex]

Now put all the given values in the above formula, we get:

[tex]V=2\times [(\frac{7}{3}\times \frac{17}{2})+(\frac{17}{2}\times \frac{27}{4})+(\frac{27}{4}\times \frac{7}{3})][/tex]

[tex]V=2\times [\frac{119}{6}+\frac{459}{8}+\frac{63}{4}][/tex]

[tex]V=185.9inch^3[/tex]

Therefore, the surface area of the package is, [tex]185.9inch^3[/tex]

A bird’s wing span is the distance from the tip of one wing to the tip of the other. A California condor can have a wingspan of 9 1/2 feet. A big hummingbird can have a wingspan of 2 1/2 inches. How much longer is the California condors wingspan then the
Bee hummingbirds?

Answers

first convert the condors wingspan into inches

12x 9.5=114
convert hummingbird inches to decimal
2.5
subtract for difference
114-2.5=111.5

What is the value of Fraction 1 over 2x3 + 3.4y when x = 3 and y = 4?

Answers

Answer:

27.1

Step-by-step explanation:

hope it helps!

Use the elimination method to solve the system of equations. 5x + 2y = −45x + 2y = −4 −5x + 3y = 19−5x + 3y = 19 (−2, 3)(−2, 3) There is no solution. There are an infinite number of solutions. (−4, 6)

Answers

It is (-2,3). x= -2 and y= 3. 

Which number is written in scientific notation?

6x10^11
12x10^-8
0.2x10^5
8x7^2

Answers

For this case, the first thing you should know is that a number in scientific notation is a number of the form:
 [tex]a * 10 ^ b [/tex]
 Where,
 a: is a number between 1 and 10
 b: is the exponent of the scientific notation.
 We have then that the number that is in scientific notation written correctly is:
 [tex]6x10 ^ {11}[/tex]
 Answer:
 [tex]6x10 ^ {11}[/tex]

Answer: [tex]6\times10^{11}[/tex]

Step-by-step explanation:

We know that the scientific notation is a technique to write a very large or a very small number in the product of a decimal form of  number [generally between 1 and 10]and powers of ten.

[tex]6\times10^{11}\\\text{ It is in scientific form}\\\\12\times10^{-8}\\\text{It is not in scientific form, since} 12 >9\\\\0.2\times10^5\\\text{It is not in scientific form, since }0.2<1\\\\8\times7^2\\\text{ It is not in scientific form, since power of 10 is not there}[/tex]

Hence, the number written in scientific notation is [tex]6\times10^{11}[/tex]

A window washer cleaned 38 windows in 2 hours. At this rate, how many windows did he clean in 7 hours?

Answers

38:2=
19:1=
133:7
133 windows.

To solve this problem, we need to find the unit rate (the amount of windows cleaned per hour) and multiply by 7. 

To find the unit rate, we need to divide 38 by 2:

38 / 2 = 19

Now, we need to multiply this by 7:

19 * 7 = 133

In 7 hours, the window washer can clean 133 windows. 

Hope this helps!

Simplify the expression. 5x + 1 - 18

Answers

5x-17 would the answer
combine like terms.

5x + 1 - 18

1 - 18 = -17


5x - 17 is your answer

hope this helps
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Costs of production that affect people who have no control over how much of a good is produced is referring to _____.rationinga black marketspillover costsa supply shock Find the area and the circumference of a circle with radius 2m. use the value 3.14, and do not round your answers. be sure to include the correct units in your answers. Write 9.79 x 10^5 in standard notation Which of the following is a rational number? square root 97 square root 98, square root 99, square root 100 A.)square root 97 B.)square root 98 C.)square root 99 D.)square root 100 Which of the following is not a type of plate boundary? A. Transform B. TectonicC. Convergent D. Divergent Imagine that a population of herbivorous animals who dislike the taste of anthocyanin is introduced into the environment of the fast plants. how would this affect the allele frequencies in the fast plants population? over time, what do you think would happen? Habib is an arab prisoner being held in a u.s. prison. another prisoner, aham, attacks and seriously injures habib. habib's family in saudi arabia wants to file a lawsuit in a u.s. court against the american company that operates the prison, for negligently allowing habib to be injured. if habib's family wishes to file a lawsuit alleging a violation of a u.s. treaty, they may: Samuel has a collection of toy cars. his favorites are the 272727 red ones which make up 60\%60%60, percent of his collection.how many toy cars does samuel have? Select the situation in which one quantity is changing at a constant rate in relation to the other quantity.a. Barry spends $9 on lunch daily.b. The market value of a new computer decreases by 6% every year.c. Nathan's investments increase in value by 13.5% each month. d. The number of ants in a colony doubles every 8 weeks. What are the coordinates of the vertex of the table? Is it a minimum or a maximum? XY01-1-2-2-3 Active transport is like facilitated diffusion in that both processes facilitate the movement of water through the phospholipids of the plasma membrane move molecules down their concentration gradient require the presence of proteins in the plasma membrane that move molecules from one side of the plasma membrane to the other do not require a source of energy A water fountain shoots up a jet of water Examine the drawing of atoms of fools gold. This substance is called pyrite, Fe2S. Is pyrite a molecular substance or a network substance? Which is not a density-dependent factor limiting population growth? A) predators B) drought C) food availability D) living space Calcium carbonate can break down to form calcium oxide and carbon dioxide. CaCO3 CaO + CO2 The oxygen atoms on the product side are slope (-8,18) and (-14,-3) All animals share the following characteristic: a. being a consumer c. not having cell nuclei b. having cell walls d. budding Because excel stores dates and times as _____, you can apply different formats without affecting the date and time value. city in which forbidden city was built How does the advertisement reflect the postwar wave of american consumerism?A) It promotes a labor-saving device.B) It depicts a stereotypical American housewife.C) It encourages women to work outside the home.D) It promotes the use of credit for purchase.Please answer as soon as possible.