Answer:
Step-by-step explanation:
x^2 - x +3
___________
x-4 | x^3-5x^2+x-12
| x^3-4x^2
|__________
| -x^2 +x
| -x^2+4x
| __________
| -3x -12
-3x-12
|____________
0
If the expression be (x³ - 5x² + 7x - 12) / (x-4) then the remaining exists x² - x + 3.
What is meant by an expression?An equation is not the same as a mathematical expression. Expressions represent a group of integers, as opposed to equations, which represent a single number.
A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation.
The mathematical procedure for dividing large numbers into numerous smaller groups or parts is known as long division. The dividend is the number we divide into smaller groups, and the divisor is the number by which we divide. A problem can be solved by breaking it down into manageable steps.
Let the expression be (x³ - 5x² + 7x - 12) / (x-4)
[tex]$x^3-5 x^2+7 x-12=(x-4)\left(x^2-x+3\right)$[/tex]
simplifying the above equation, we get
[tex]$=\frac{(x-4)\left(x^2-x+3\right)}{x-4}$[/tex]
Cancel the common factor: x - 4
= x² - x + 3
Therefore, if the expression be (x³ - 5x² + 7x - 12) / (x-4) then the remaining exists x² - x + 3.
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Quisha spent 1/3 hour answering 9 homework questions for her history class. she spent the same ammount on each question. what fraction of an hour did it take quisha to answer each question
Answer:
[tex] \frac{1}{3} \div 9[/tex]
to get the time for each question
PLEASE HELP ASAP!!!!!!
Find the slope of the line represented by the table of values. A) 1/2 B) 2 C) -1/2D) -2
Answer:
d
Step-by-step explanation:
m= 6-10 / -1-(-5) = -2
Hope this Helps :)
Help Please!!!! ASAP. 50 POINTS! IF CORRECT BRAINLIEST!!! NO TRICKS PLEASE!!!!
Answer: 1
1/2 + -1/2 = 1/2
A grocery store clerk put only cans of tomato soup and cans of chicken soup on a shelf. The ratio of the number of cans of chicken noodle soup to the total number of cans on the shelf was 8 to 17. Which number could be the number of cans of tomato soup the clerk put on the shelf.
Answer:
9 cans of tomato soup
Step-by-step explanation:
We are told that only cans of tomato soup and cans of chicken soup are put on the shelf.
Now, we are told that the ratio of the number of cans of chicken noodle soup to the total number of cans on the shelf was 8 to 17.
In fraction, this is 8/17
Now, this implies that there are 8 cans of chicken noodle soup while there are a total of 17 cans on the shelf.
Thus,
Since only cans of chicken noodles and cans of tomato soup are on the shelf, it means;
Cans of tomato soup = 17 - 8 = 9
Answer:
9 Cans of Soup
Step-by-step explanation:
I took the quiz and got it right :D
Find the value of the variable that results in congruent triangles for numbers 6 and 8.
Answer:
x = 28
Step-by-step explanation:
From the figure attached,
AC ≅ FH [Given]
BC ≅ GH [Given]
AB ≅ FG [Given]
ΔABC ≅ ΔFGH [By SSS property of congruence]
Since, m∠A + m∠B + m∠C = 180°
50° + 69° + m∠C = 180°
119° + m∠C = 180°
m∠C = 180° - 119°
m∠C = 61°
m∠C = m∠H [Since, ΔABC ≅ ΔFGH]
(2x + 5)° = 61°
2x = 61 - 5
2x = 56
x = 28
1. To make 1 batch of granola, Kiran needs 26 ounces of oats. The only measuring tool he
has is a 4-ounce scoop. How many scoops will it take to measure 26 ounces of oats?
a. Will the answer be more than 1 or less than 1?
b. Write a multiplication equation and a division equation that represent this
situation. Use "?" to represent the unknown quantity.
c. Find the unknown quantity. If you get stuck, draw a diagram.
Answer:
the answer being 6.5 or 6 1/2
Step-by-step explanation:
the equation is 26 ÷ 4 = ? and 6.5 × 4 = 26
Answer:
A.more tan one
B.? x 4 = 26 and 26 x 4 = ?
C.1 1/25
Step-by-step explanation:
A dance studio charges all new members a $175application fee plus $20 per month. How much will Stacie pay for a 2 year membership
Answer: Stacie will have to pay $655 for a 2 year membership
Answer:$655
Step-by-step explanation:
She has to pay 175 dollars upfront. So we know this amount will be added to what she pays. She pays 20 per month. If in two years there are 24 months, then you have to multiply 20 times 24, giving you 480. You have to then add the 480 and the 175, giving you 655. She will pay $655 for a 2 year membership.
the concrete footings for piers for a raised foundation are cubes measuring 18 in. by 18 in. by 18 in. How many cubic yards are needed for 48 footings
Answer:
16
Step-by-step explanation:
48/3=16
How much money would you pick out the two? Why?
a) $20^15
b)$3.599x10^6
A quantity with an initial value of 590 decays continuously at a rate of 55% per year. What is the value of the quantity after 21 months, to the nearest hundredth?
Answer:
22.13
Step-by-step explanation:
Given that :
Initial quantity = 590
Decay rate = 55% per year
Value of the quantity after 21 months to the nearest hundredth
If decât rate per year = 55%
Monthly rate of Decay = 55% / 12 = 0.0458333
Hence, quantity after 21 months :
Initial amount - (Initial amount * 21(monthly Decay rate))
590 - (590 * 21(0.0458333))
590 - 567.874587
= 22.125413
= 22.13 (nearest hundredth)
Answer:
\approx 225.34
≈225.34
Step-by-step explanation:
(5^3)^1
Find the value, and Write the answer without exponents
Answer:
125
Step-by-step explanation:
u do 5 to the power of 3 then to the power of 1. yw.
PLEASE HELP ME OKT I DONT UNDERSTAND
Answer:
See below.
Step-by-step explanation:
5a)
In an isosceles triangle, the angles opposite the congruent sides are congruent.
m<A = 40 deg
m<B = 40 deg
m<A + m<B + m<C = 180
40 + 40 + m<C = 180
m<C = 100 deg
5b)
In a right triangle, one angle is a right angle.
m<A = 40 deg
m<B = 90 deg
m<A + m<B + m<C = 180
40 + 90 + m<C = 180
m<C = 50 deg
Write the simplified form of (-0.5z + 0.9z) – (-0.3z + 0.9z).
Answer:
-0.2z
Step-by-step explanation:
0.4z-0.6z
-0.2z
Frankie solved the math problem below. Find the error in Frankie's work and explain it in words, using math language. 2 1/3 - 1 2/5 2 1/3 x 5/5 = 2 5/15 -1 2/5 x 3/3 = -1 6/15 = -1 1/15
Given:
The expression is
[tex]2\dfrac{1}{3}-1\dfrac{2}{5}[/tex]
To find:
The error in Frankie's work.
Solution:
We need to simplify [tex]2\dfrac{1}{3}-1\dfrac{2}{5}[/tex], so
[tex]2\dfrac{1}{3}=2\dfrac{1}{3}\times \dfrac{5}{5}[/tex]
[tex]2\dfrac{1}{3}=2\dfrac{5}{15}[/tex]
and,
[tex]1\dfrac{2}{5}=-1\dfrac{2}{5}\times \dfrac{3}{3}[/tex]
[tex]1\dfrac{2}{5}=-1\dfrac{6}{15}[/tex]
Now,
[tex]2\dfrac{1}{3}-1\dfrac{2}{5}=2\dfrac{5}{15}-1\dfrac{6}{15}[/tex]
[tex]2\dfrac{1}{3}-1\dfrac{2}{5}=(2+\dfrac{5}{15})-(1+\dfrac{6}{15})[/tex]
[tex]2\dfrac{1}{3}-1\dfrac{2}{5}=2+\dfrac{5}{15}-1-\dfrac{6}{15}[/tex]
[tex]2\dfrac{1}{3}-1\dfrac{2}{5}=1-\dfrac{1}{15}[/tex]
[tex]2\dfrac{1}{3}-1\dfrac{2}{5}=\dfrac{14}{15}[/tex]
Therefore, there is error in Frankie's last step. In that step, he did not subtract the mixed fraction correctly.
Given △ABC with m∠A=63° and m∠B=41°, find m∠C.
41 degrees
63 degrees
104 degrees
76 degrees
IMMA SPLIT THE LAST OF MY POINTS SO NOw I HAVE 2 QUESTIONS LEFT
Answer:
cool
Step-by-step explanation:
To get into the carnival, it costs $5. Then each ride costs $2.25. *Use a linear equation to solve the following:
If you brought $35, how many rides can you go on?
How much would it cost altogether to ride 7 rides?
Answer:
equation: y=2.25x+5
a: 13 rides
b:$20.75 for 7 rides
explanation:
a: 35=2.25x+5
first subtract 5 from 5 and 35
30=2.25x
divide each side by 2.25
x= 13 1/3
can only go on 13 rides
b: y=2.25(7)+5
2.25×7=15.75
15.75+5=20.75
$20.75 for 7 rides
heyy could you help me out?
Answer:
Step-by-step explanation:
Well so it is asking you the statements and reasons and there is a select button it would be..... Hold on think about the letter formation. Just choose your best answer you think it is because if we are telling you thats cheating. But look above what I said. Think of the letter formation and quardinate with the question. I am speeding and yes I know I spelt it wrong.
Please, brailiest, thanks, five star
Answer: its c
Step-by-step explanation:
distribute the number on the outside of the parenthesis.
Which set of lengths might be used to represent the sides of a right triangle?
A. (6, 7, 10)
B. (7, 15, 17)
C. (9, 12, 16)
D. (7, 24, 25)
Answer:
Step-by-step explanation:
B
The set of side lengths (7, 15, 17) represents a right angled triangle
For the given set of side lengths to represent a right angled triangle, the
Pythagoras relation should be satisfied by the side lengths of the triangle.
We can write the given relation as -
h² = b² + p²
Consider the side length pairs as -
(7, 15, 17)
We can arrange the sides as -
17² = 15² + 7²
289 = 225 + 49
289 = 289
The set of side lengths (7, 15, 17) represents a right angled triangle.
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Factor Completely: 2x2 - 72y72y
For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.
a. yes; y = 2x
b. yes; y = 4x
c. yes; y = 8x
d. no; y does not vary directly with x
Answer:
d
Step-by-step explanation:
becuse the first one would be 4x and the other ones 2x
Tantastic charges a reservation fee of $20 and $1 per minute in a tanning bed. BetterSun charges no reservation fee but charges $2 per minute in a tanning bed
Answer:
20 minutes
Step-by-step explanation:
Step one:
given
Tantastic charges
reservation fee= $20
charges per minute= $1
let the number of minutes be x
and the total charges be y
y=x+20
BetterSun charges
charges per minute= $2
let the number of minutes be x
and the total charges be y
y=2x
Required:
how many minute will dey charge the same amount
x+20=2x
2x-x=20
x=20 minutes
a firehouse ladder can expend to 28ft. how many inches is that? use unit analysis to solve this conversation problem. (1ftt=12in)
Answer:
336inch
Step-by-step explanation:
1ftt=12in
28ftt=12 ×28
=336in
Answer:
336inch
Hope this helped!
Help me out pleaseeeeeee
6 3/5% as a fraction
Answer:
The answer for this as a fraction would be 1260/1
Step-by-step explanation:
63 ÷ 5/100
Answer:
1260/1
Step-by-step explanation:
Every morning, Peter does the same 55-minute workout routine. He does a combination of jogging and floor exercises. The distance that Peter covers over time during his workout is shown in the graph below. Which statement is true of Peter’s morning workout routine?
Peter jogs the same distance from points A to C and D to F.
Peter stops jogging to do his floor exercises between points C and D.
Peter jogs at a constant speed to reach the distance at point C from point A.
Peter jogs for a longer period of time between points A and B than between points D and E.
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Since Peter exercises 55 minutes, he stops jogging to do his floor exercises between points C and D, and then continues to finish his workout.
Yusuf bought a DVD player for $280, now it is $220. What is the percent decrease in the price?
Answer:
About 21.4%
Step-by-step explanation:
280 - 220 = 60
60 of 280 = ?
Variable x = percentage
60/280 = x/100
Cross multiply
60 × 100 = 280 × x
6000 = 280x
Divide both sides by 280
6000 ÷ 280 = 280x ÷ 280
21.428.... = x
About 21.4%
Check work:
60/280 = 21.4/100
Cross multiply
60 × 100 = 280 × 21.4
6000 = 5992
6000 is close to 5992
It does not equal exactly 6000 because I estimated the percentage to 21.4% instead of 21.428....%
Sven has $1 and a dime in his pile Dayna has 11 dimes in her pile if Sven gives Dayna $1 and Dayna gives Sven ten dimes will the two piles still be equal in value?
Answer:
The two piles will still be equal in value
Step-by-step explanation:
From the question,
Sven has $1 and a dime in his pile, and
Dayna has 11 dimes in her pile.
Now,
If Sven gives Dayna $1 and Dayna gives Sven ten dimes,
To determine if the two piles will still be equal in value,
First, we will determine what each of Sven and Dayna has presently.
For Sven,
He has $1 and a dime, he gives out $1 and received ten dimes, that means
$1 + 1 dime - 1$ + 10 dimes = 11 dimes
Now, Sven has 11 dimes with him
For Dayna,
She has 11 dimes, she gave out 10 dimes and received 1$, that means
11 dimes - 10 dimes + $1 = $1 and a dime
Now, Dayna has $1 and a dime.
To determine if the two piles will still be equal, we will convert Dayna's dollar ($) to dimes
(NOTE: 10 dimes make a dollar, that is, 10 dimes = $1)
Dayna has $1 and a dime,
$1 + 1 dime = 10 dimes + 1 dime = 11 dimes
∴ She has 11 dimes.
Since, Sven has 11 dimes as well,
Hence, the two piles will still be equal in value.
140 - x = 209
What does x equal??