Answer:
156
Step-by-step explanation:
221/17=13
13*12=156
Answer:
$156
Step-by-step explanation:
221/17=x/12
221*12=17x
2652=17x
156=x
Factorise x cube -2x square -5x plus 6
Answer: {(x + 2), (x - 1), (x - 3)}
Step-by-step explanation:
Presented symbolically, we have:
x^3 - 2x^2 - 5x + 6
Synthetic division is very useful for determining roots of polynomials. Once we have roots, we can easily write the corresponding factors.
Write out possible factors of 6: {±1, ±2, ±3, ±6}
Let's determine whether or not -2 is a root. Set up synthetic division as follows:
-2 / 1 -2 -5 6
-2 8 -6
-----------------------
1 -4 3 0
since the remainder is zero, we know for sure that -2 is a root and (x + 2) is a factor of the given polynomial. The coefficients of the product of the remaining two factors are {1, -4, 3}. This trinomial factors easily into {(x -1), (x - 3)}.
Thus, the three factors of the given polynomial are {(x + 2), (x - 1), (x - 3)}
A punch recipe calls for 3/4 cups of Sprite for 1 and 1/4 cups of juice. How much Sprite is needed for 5 cups of juice?
the answer is 3
could I get brainlisted?
please help me fill in the blank
Answer: X = 5
Step-by-step explanation: Since a square has all equal sides, and area is just length times width, the other side has to be five. If you REALLY feel the need to check my work just do 5x5.
On another day, Martin bought 123
5
pounds of grapes for a picnic. His friend bought 3
8
of that amount. Use compatible fractions to estimate how many pounds of grapes Martin’s friend bought.
123
5
→
3
8
→
Martin's friend bought about
pounds of grapes.
Answer:
The answer is 123
5
→
✔ 12 1/2
3
8
→
✔ 1/2
Martin's friend bought about
✔ 6 ¼
pounds of grapes.
The number of pounds of grapes that are bought will be [tex]4\frac{29}{40}[/tex] pounds.
What is fraction?Fractions are used to represent smaller pieces (or parts) of a whole.
Given the information that Martin bought 12 3/5 pounds of grapes for a picnic, while his friend bought 3/8 of that amount.
Therefore, the amount that his friend bought will be:
= 3/8 × 12 3/5
= 3/8 × 63/5
= 189/40
= [tex]4\frac{29}{40}[/tex]
Hence, the number of pounds of grapes that are bought will be [tex]4\frac{29}{40}[/tex] pounds.
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On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 2, 2), (negative 1, 4), (1, 1), (1, 3), (2, negative 3).
Which ordered pair could be removed from the graph to create a set of ordered pairs that represents a function?
A.(–4, 2)
B.(–1, 4)
C.(1, 3)
D.(2, –3)
The correct option is option C i.e., (1,3).
It is given that a circle has the points (4, 2), (-2, 2), (-1, 4), (1, 1), (1, 3), (2, -3).
We have to check which ordered pair from given options is correct.
What do you mean by domain and ranges of a function ?
The domain is set of all values for which the function is defined and the range of the function is set of all values that function takes.
As per the question ;
A circle has the points ;
(4, 2), (-2, 2), (-1, 4), (1, 1), (1, 3), (2, -3).
We know that ;
A function is just like a machine that gives an output for a given unique input. The input given to the function is called the domain whereas the output of a function is called its range.
Also ;
The domain is the independent variable and is represented by the 'x' coordinate and range depends on the values of the domain and is represented by the 'y' coordinate.
Now ; check for relation.
Here ; the ordered pairs (1, 1) and (1, 3) have the same input. So if we remove either of them , it will make the relation as a function.
So;
The correct option is C.
Thus , the correct option is option C i.e., (1,3).
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Answer:
C (1, 3)
Step-by-step explanation:
edge 2023
1 (-2,2) Write the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (-2, 2). * (4 Points)
Answer:
y = -5x - 8
Step-by-step explanation:
Take the points (-5,-4) and (0,-3) plug them into this formula to get the slope.
[tex]\frac{y2 - y1 }{x2 - x1}[/tex]
Now plug in your points
[tex]\frac{-3 - (-4)}{0 - (-5)} \\\\\frac{1}{5}[/tex]
Since you're slope is 1/5 the slope of the perpendicular line is going to be the totally opposite -5 is the slope of the perpendicular line.
Now plug in -5 and the point (-2,2) into y = mx + b to get the y-intercept
2 = -5(-2) + b (b represents the y-intercept)
2 = 10 + b (subtract 10 from both sides)
-8 = b
The perpendicular line looks like this y = -5x - 8
Hope this helps ya! Keep smiling!
whats the slope of (-1,4) and (-2,5)
Answer:
m=-1
Step-by-step explanation:
Answer: m = -1
Step-by-step explanation: Use the slope formula to find the slope m.
4.5x10^2 in standard notation
Answer:
450
Step-by-step explanation:
Answer:
450
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME WITH GRAPHING THIS? AND PLEASE EXPLAIN HOW TO GRAPH IT
if you earn $35 in 5 hours, how much money will you earn in 17 hours? how much will you earn in 1 hour?
Answer:
$119, $7.
Step-by-step explanation:
First, we need to find the unit rate of pay, in dollars.
Divide $35 by 5 to get $7 per hour.
Now, we multiply the unit rate of pay by 17 to find out how much money is made in the 17 hours that were worked.
By doing this, we get the answer: $119.
Hope this helps! Let me know.
8 1/4 pounds of flour are used to make 4 1/8 papier-mâché pasta recipe how much flour is used in one recipe
Answer:
1/6
Step-by-step explanation:
ive seen that question b4
2 pounds of flour are required to make 1 recipe, as of the given condition.
Given that
8 1/4 pounds of flour are used to make 4 1/8 paper-mâché pasta recipe how much flour is used in one recipe is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Flour = 8 1/4
Flour = 8.25 pounds
The proportion of the recipe made corresponding to 8.25 pounds of flour = 4.125
Now,
For 1 recipe = 8.25 / 4.125 = 2 pounds of flour are needed.
Thus, 2 pounds of flour are required to make 1 recipe, as of the given condition.
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Which answer choice shows 15.067 rounded to the nearest hundredth?
A. 15.07
B. 15.06
C. 15.1
D. 15.0
En Faiz deposits a sum of Rm 18000 in a bank with interest rate of 4.5% per annum and compounded
once every 4 months. Find En Faiz's total savings at the end of the year.
Answer:
4.5 divide 100 x RM18000
4.5% is 810
810 x 3 = RM2430
RM 2430 is the total savings at the end of the year
(picture) what is the answer if x=-2
If x = 2
then
3(2)² - 2(2) + 1 = 3(4) - 4 + 1 = 12 - 4 + 1 = 13 - 4 = 9 #
Therefore, if x = 2 then it's 9
PLEASE HELP PLEASE HELP 19 POINTS...PLEASE HELP
Answer:
-3/2
Step-by-step explanation:
Rise = -3
Run 2
Answer:hiiiii
Step-by-step explanation:
lol
I WILL GIVE BRAINLIEST! PLEASE TAKE YOUR TIME!
Use the order of operations to evaluate the expression below.
12 + 24 / 10 - 4) x (9 - 7) - 17
Answer:
-27.6
Step-by-step explanation:
I'm smart but probably shouldn't use my answer
Tucker is painting his pool deck over the weekend. The area of the deck is 76 1/2
square meters. He paints 2/3 of the deck before stopping to eat lunch. How many square meters does Tucker have left to paint after lunch?
Answer:
25 1/2 square meters remaining
Step-by-step explanation:
Total area of the pool deck=76 1/2 square meters
He painted 2/3 of the deck before stopping for lunch
Total painted=2/3 of 76 1/2
=2/3*153/2
=306/6
=51 square meters
Total remaining=Total area - total painted area
=76 1/2 - 51
=153/2 - 51
=153-102/2
=51/2
=25 1/2 square meters remaining
A photo collage consists of seven equal-sized square photos arranged in a row to form a rectangle. If the total area of the collage is 567 square inches, what is the length of the collage? __ inches
Given:
Seven equal-sized square photos arranged in a row to form a rectangle.
Total area of the collage is 567 square inches.
To find:
The length of the collage.
Solution:
Let the side of each square be x inches.
Seven equal-sized square photos arranged in a row to form a rectangle.
So, length of rectangle is 7x and width is x.
Area of rectangle is
[tex]Area=Length\times width[/tex]
[tex]567=7x\times x[/tex]
[tex]567=7x^2[/tex]
[tex]\dfrac{567}{7}=x^2[/tex]
[tex]81=x^2[/tex]
Taking square root on both sides, we get
[tex]x=\pm \sqrt{81}[/tex]
[tex]x=\pm 9[/tex]
Side cannot be negative. So, x=9 inches.
Now,
Width = 9 inches
Length = 7(9) = 63 inches
Therefore, the length of the rectangle is 63 inches.
help ;w;
Daniel rode his bicycle from Barton to Wells along the path shown on this map.
If it took Daniel 5 hours to complete the trip, what was his average speed in miles per hour?
Freida earns $5.25 per hour and time-and-a-half for overtime for all hours over 40 hours. How much did she earn the week she worked 48 hours?
Answer:
Total earned= $273
Step-by-step explanation:
Giving the following information:
Regular labor hours= $5.25
Overtime labor hours= $5.25*1.5= $7.875
To calculate the total earned, we need to use the following formula:
Regular labor hours= 40*5.25= 210
Overtime labor hours= 8*7.875= 63
Total earned= 210 + 63
Total earned= $273
Juan has a piano recital next month. Last week he practiced for 12 hours in the morning and 14 hours in the afternoon. Each practice session is 3 hours long. How many full practices did Juan complete
Answer:
8 full practice
Step-by-step explanation:
Given that :
Morning Practice hours Total = 12 hours
Afternoon practice hours total = 14 hours
practice length = 3 hours
Hence, Number of full practices attended :
practice hours / practice length
Morning : 12 / 3 = 4 practice sessions
Afternoon = 14 / 3 = 4.666 sessions
Hence, number of full practice completed = 4 + 4 = 8
Answer:
hope this helps .enjoy the rest of your day.
the sum of the interior angles in a pentagon
Answer:
540°
Step-by-step explanation:
When you have a polygon (shape with 3+ sides), you can split the shape into the lowest number of triangles and use that to calculate the interior angles of the shape. Thus works because triangles have angles that always add up to 180°
A Pentagon can be split into 3 triangles minimum, which means you have 180 + 180 + 180. Or...
180 x 3 = 540
.) Freddy is 6 years older than twice his nephew's age. The sum of their ages is
57. How old are Freddy and his nephew?
Answer:
Freddy is 40
his nephew is 17
Step-by-step explanation:
6+2n +n=57 6+2n or 6+2(17
6+3n=57 6+34
3n=51 40
n=17 f=40
15) In the proof: STATEMENT: e / f REASON: 15)
Transitive Property of Congruency
Converse of AEA Theorem
AEA Theorem
AIA Theorem
Definition of Congruent Angles
Answer:
Can you be more specific if you can I will answer in the comments :)
Step-by-step explanation:
what is the slope of ( -4,-1) , (8 - -7)
Passing through (-3,2) and (6,2) what is the slop intercept form of the equation of the line?
Answer:
The slope would be 0
Step-by-step explanation:
The y is the same, and it's not rising or running. The y will never change no matter what x is. Hope this helps!
help me with this homework
Answer:
r = 0
Step-by-step explanation:
-32r + 8 = -8r + 8
-32r + 8r = 8-8
-24r = 0
divide both sides by -24
then the answer will be -- r = 0
Answer:
0
Step-by-step explanation:
Sam takes out a $167,000 mortgage for 20 years. He makes monthly payments and at the end calculates that he has paid $240,141 towards the mortgage. What is the approximate APR?
3%
4%
6%
7%
Answer:
About 3%
Step-by-step explanation:
3% of $167,000 is $5,010
5010 times the 20 years is 100200 add that to the 167000 and you get $267,200
The actual answer is about 2.4% but 3% is the closest.
James was able to correctly 11 major highways, 4 mountains, 86 major cities, and 9 bodies of water on a map. How many places on the map did James identify? Explain how you can use compatible numbers to help calculate the sum.
Answer:
The number of places correctly identified is 110 places
Step-by-step explanation:
The number of places he correctly identified will be;
11 + 4 + 86 + 9 = 110 places
By using compatible numbers, we refer to the fact that she use an estimate by making sure each of the numbers are closer to the nearest 10th or 5
so 4 will be 5
11 will be 10
86 will be 85
9 will be 10
Adding all of these together, we have
5 + 10 + 85 + 10 = 110
PLEASEE HELP ASAP!!
WHAT IS THE SLOPE OF THIS GRAPH
Answer:
Step-by-step explanation:
(-4,0) (-2, -3)
(-3-0)/(-2+4)= -3/2