Answer:
(i) The factors of the given polynomial is (x – 22) and (x + 10)
(ii) If she purchase 5kg papaya then she pays 110
Step-by-step explanation:
Given;p(x) = x² – 12x – 220 per kgTo Find;The factors of the given polynomialif she purchase 5kg papaya, what money she have to pay?(i)Now,
x² – 12x – 220 = 0
Splitting the middle term
x² – 22x + 10x – 220 = 0
x(x – 22) + 10(x – 22) = 0
(x – 22) + (x + 10) = 0
x – 22 = 0 or x + 10= 0
x = 22 or x = -10
Here, (-10) is the negative value hence it is not possible
So, The value of x is 22
The factors of the given polynomial is (x – 22) and (x + 10)
(ii)if she purchase 5kg papaya then,
we know the price of 1 kg papaya i.e., 22 per kg
So,
5 × 22 = 110
Thus, if she purchase 5kg papaya then she pays 110
-TheUnknownScientist 72
Grandma baked 1.5 times as many pancakes as waffles. After she baked 45 more waffles, and her grandchildren eat 12 pancakes, there were 17 more waffles than pancakes. How many waffles were there initially
Answer:
(x + 45) - (1.5x - 12) = 17
Step-by-step explanation:
The number of waffles there were initially is; 80 waffles
Simultaneous equationsLet the number of pancakes be x.
Let the number of waffles be y
Hence, after she baked 45 more waffles, and her grandchildren eat 12 pancakes, what she has is;
y +45 waffles and x-12 pancakes.There were 17 more waffles than pancakes.
y+45 = x-12 +17.......equation (1)And initially, x = 1.5y
Hence, to determine y, we must substitute x = 1.5y into equation (1)
Therefore, we have;
y+ 45 = 1.5y -12+170.5y = 40y = 40/0.5y = 80 waffles.Read more on simultaneous equations;
https://brainly.com/question/16863577
Someone help pls need this answered in a few minutes T^T
Answer:
Cosine rule formula
[tex]a^{2} = b^{2} + c^{2} - 2bc \times \cos( a) [/tex]
*the small a in cos represents the angle
Conditions
You can only do Cosine rule if the angle is in between the 2 lengths
a^2=22^2+27^2-2(22)(27)×cos(105)
a^2=1520.477026 * so sqaure root to find a
a=38.99329462 *to 2 d.p.
a=38.99ft
plsss help!!!!! #1 #2
Step-by-step explanation:
#1Area of parallelogram:
A = bh = 5*14 = 70 in²#2Area of parallelogram:
A = bh = 17*8 = 136 in²Write 3 1/5 as a decimal
Answer:
3.2
Step-by-step explanation:
3 1/5 = 3 + 1/5
Calculate 1/5: 1/5 * 20/20 = 20/100 = 0.2
3 + 0.2 = 3.2
Hope this helps :)
Have a great day!
Marie pays $19.75 per month for her phone service and spends an
average of $6.00 per month for long-distance calls. How much does her
phone service cost her in all each year?
a. $309
b. $91.75
c. $237
d. $312
1. If 15 apricots cost R5,60, how many apricots will cost R10,08?
2. How much will it cost for 1kg of polony if 0,35 kg of polony costs R25,10?
3. If 12,5 kg of sugar cost R90, how much will 7,2 kg of the sugar cost?
4. A scooter uses 6,5ℓ petrol to travel a distance of 130 km. How much petrol will it use to travel a distance of 80km?
5. Peter used 5ℓ of paint to paint a wall that is 8 m long and 5m high. How many square metres can Peter paint with 1ℓ of paint?
1- 27 apricots will cost R10.08.
2- 1 kg of polony will cost R71.71.
3- 7.2 kg of sugar cost R51.84.
4- It will use 4 liters of oil to travel a distance of 80km.
5- Peter can paint 8 square meters with 1 liter of paint.
Calculus
To answer the questions made, the following calculations must be made:
1. If 15 apricots cost R5.60, how many apricots will cost R10.08?
5.60 = 1510.08 = X10.08 x 15 / 5.60 = X151.2 / 5.6 = X27 = XTherefore, 27 apricots will cost R10.08.2. How much will it cost for 1kg of polony if 0.35 kg of polony costs R25.10?
0.35 = 25.101 = X25.10 / 0.35 = X71.71 = XTherefore, 1 kg of polony will cost R71.71.3. If 12.5 kg of sugar cost R90, how much will 7.2 kg of the sugar cost?
12.5 = 907.2 = X7.2 x 90 / 12.5 = X648 / 12.5 = X51.84 = XTherefore, 7.2 kg of sugar cost R51.84.4. A scooter uses 6.5ℓ petrol to travel a distance of 130 km. How much petrol will it use to travel a distance of 80km?
130 = 6.580 = X80 x 6.5 / 130 = X520 / 130 = X4 = XTherefore, it will use 4 liters of oil to travel a distance of 80km.5. Peter used 5ℓ of paint to paint a wall that is 8m long and 5m high. How many square meters can Peter paint with 1ℓ of paint?
8 x 5 = 4040 / 5 = 8Therefore, Peter can paint 8 square meters with 1 liter of paint.Learn more about calculus in https://brainly.com/question/26453068
*PLEASE HELP* *ANY IRRELEVANT ANSWERS WILL BE REPORTED AS SPAM*
After 30 baseball games, Bryce Harper had 25 hits and after 100 games he had 165 hits. How many hits would he have after 106 games?(include units)
Answer:
67.307
Step-by-step explanation:
30×25=750
100×80=8000
750+8000=8750
8750/130=67.307... total hits divided by total games
Take two points
(30,25)(100,165)Equation of line in two points form
[tex]\\ \rm\hookrightarrow y-y_1=(y_2-y_1/x_2-x_1)(x-x_1)[/tex]
[tex]\\ \rm\hookrightarrow y-25=(\dfrac{165-25}{100-30})(x-30)[/tex]
[tex]\\ \rm\hookrightarrow y-25=(\dfrac{140}{70})(x-30)[/tex]
[tex]\\ \rm\hookrightarrow y-25=2(x-30)[/tex]
[tex]\\ \rm\hookrightarrow y-25=2x-60[/tex]
[tex]\\ \rm\hookrightarrow y=2x-35[/tex]
Put 106 in place of x[tex]\\ \rm\hookrightarrow y=2(106)-35=177hits[/tex]
PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST
Answer:
Tennessee
Step-by-step explanation:
First, let's find out how much tax he paid...
$695.49-$649.99=$45.50
We can use this to set up an equation...
x%(649.99)=45.50
We can convert x% to x/100 since any percentage is just that number over one hundred...
[tex]\frac{x}{100}*649.99=45.50\\\\\frac{649.99x}{100}=45.50[/tex]
Multiply 100 to both sides
[tex]649.99x=4550[/tex]
Divide both sides by 649.99
[tex]x$\approx$6.92[/tex]
This is closest to 7 (our answers is not exact since you can only have two decimal places in money), therefore he lives in D. Tennessee
Rhianna is baking a cake and some cookies for a party. She used cups of flour for the cake. For each tray of cookies, she needs cups of flour. She decides to use at least 15 cups of flour for the cake and the cookies.
Assuming she can make fractional trays of cookies, how many trays, x, can she make? Select the inequality that includes the minimum number of trays of cookies Rhianna can make.
Answer:
x > 15
Step-by-step explanation:
At least means that x will be greater than 15 so it is x > 15.
Convert 680200 milliliter (mL) to kiloliter (kL)
Answer: 680 200 milliliter * mL =6.80200 × 10-7 kiloliter * kL, another way is, 0.6802
Step-by-step explanation: How to convert kL to mL: Enter a value in the kL field and click on the "Calculate mL" button. Your answer will appear in the mL field.Conversion DefinitionsThe following is a list of definitions relating to conversions between kiloliters and milliliters.What is a kiloliter (kL)?A kiloliter is a unit of volume in the Metric System. The symbol for kiloliter is kL. There are 0.000001 kiloliters in a milliliter. The International spelling for this unit is kilolitre.What is a milliliter (mL)?A milliliter is a unit of volume in the Metric System. The symbol for milliliter is mL. There are 1,000,000 milliliters in a kiloliter. The International spelling for this unit is millilitre.Conversion FormulaLet's take a closer look at the conversion formula so that you can do these conversions yourself with a calculator or with an old-fashioned pencil and paper.The formula to convert from kL to mL is:mL = kL x 1,000,000Conversion ExampleNext, let's look at an example showing the work and calculations that are involved in converting from kiloliters to milliliters (kL to mL).Kiloliter to Milliliter Conversion ExampleTask: Convert 2.5 kiloliters to milliliters (show work)
Formula:
kL x 1,000,000 = mL
Calculations:
2.5 kL x 1,000,000 = 2,500,000 mL
Result:
2.5 kL is equal to 2,500,000 mL
One week, Steph worked 20 hours, Marco
worked 12 hours, and Destiny worked 32 hours.
How much did the owner, Layla, pay herself?
Answer: 9
Step-by-step explanation:
Add 20, 12, and 32 together then divide by 7 because it says "One week" and a week is 7 days. So, it should be like 20 +12 + 32= 64
64 / (divided by) 7 = 9
The number of daily work hours, if in One week, Steph worked 20 hours, Marco worked 12 hours, and Destiny worked 32 hours, is 9.1 hours.
What is division?It is the basic arithmetic operation, in which you are separating the number into some parts.
Given:
One week, Steph worked 20 hours, Marco worked 12 hours, and Destiny worked 32 hours,
Calculate the total time of work as shown below,
The total time = 20 + 12 + 32
The total time = 64 hours in a week
Calculate the daily work time as shown below,
Daily work time = 64 / 7
(1 week = 7 days)
Daily work time = 9.1 hours
To know more about division:
https://brainly.com/question/27566440
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The complete question is: One week, Steph worked 20 hours, Marco worked 12 hours, and Destiny worked 32 hours. Find the total work time in a day?
9.) 6 less than twice a number is less than or
Write inequality and for problem
equal to 10.
Answer:
Write inequality and for problem
equal to 10.
At an ocean depth of 20 meters, a buoy bobs up and then down 2 meters from the oceans depth. Four seconds pass from the time the buoy is at it's highest point to when it is at lowest point.Assume at x=0, buoy is at normal ocean depth
Use the sine tool to graph the function. The first pint must be in the midline and the second must be a maximum or minimum value on the graph closest to the first point
Answer:
We'll use a sin graph since at x=0 the buoy is at the y midline....
the period is 8 seconds (highest point to lowest point and back to highest point)
Frequency is 1/period 1/8
Starts at 20 (sine wave shifted up 20 m)
Amplitude 2 (up 2 meters then down 2 meters below norma ocean depth) .....( I think this is what you meant in your question.....if it bobs UP 2m then back to normal depth then down 2m)
2sin((2pi x)/8) + 20
Step-by-step explanation:
Answer:
x=0 is at the midline
Step-by-step explanation:
fill in the blank 12___3___?22=0
A 10-foot tree casts a 17-foot shadow directly down a slope when the angle of elevation of the sun is 42o (see figure). Find , the angle of elevation of the ground (to the nearest tenth of a degree). (A calculator is needed for this problem)
Answer:
The angel of this elevation is 30.5°
Step-by-step explanation:
...
Hi please help , With solution if it's ok
but if not , you can tell answer it without solution but it's better with solution ⊙﹏⊙
Thank you!
1.) Convert 2.5 hm to mm
2.) Convert 1800 cm to dam
3.) Convert 6450 m to km
4.) Convert 1.2 kg to g.
5.) Convert 4.37 dag to mg.
Answers with Method:-
1) Multiply the length value by 100,000.
[tex]2.5 \: hm = 2.5 \times 100000[/tex]
[tex] = >2.5 \: hm = 250000 \: mm[/tex]
2) For this, divide the length value by 1000.
[tex] = > \frac{1800}{1000} [/tex]
[tex] = > 1.8 \: dam[/tex]
3) For finding the approximate value, just multiply the value of length by 1.609.
[tex] = >6450 \: m = (6450 \times 1.609) \: km[/tex]
[tex] = > 10380.27 \: km[/tex]
4) Multiply the given mass value by 100.
[tex] = > 1.2 \: kg = 1.2 \times 100 [/tex]
[tex] = > 1200 \: g[/tex]
5) Multiply the given value by 10,000.
[tex]4.37 \: dag = 4.37 \times 10000[/tex]
[tex] = > 43700 \: mg[/tex]
The actual distance between town A and twon b is 64 question # 10
Answer:
8 cm; from the table
Step-by-step explanation:
The equation gives the ground distance in terms of the map distance, so would have to be solved for x to be used to find map distance.
The graph is not shown.
The table appears correct, and includes the value 32 km for a map distance of 4 cm. The ground distance of interest is 64 km, which is twice that table value. That means the map distance will be twice the corresponding table value: 2×4 cm = 8 cm.
The distance from Town A to Town B is represented on the map by 8 cm.
[tex]~\hspace{16em}\underset{\downarrow }{\textit{distance on map}}\\ \begin{array}{|c|c|c|c|c|c|c|c|c|c|} \cline{1-10} Map&0&1&2&3&4&5&6&7&8\\ \cline{1-10} Actual&0&8&16&24&32&40&48&56&64\\ \cline{1-10} \end{array}\\ ~\hspace{16em}\stackrel{\uparrow }{actual~distance}[/tex]
What is the value of x?
Enter your answer in the box
Check the picture below.
Jennifer walked 1/8 of a mile and then ran 1/4 of a mile how much farther did she run then walk
Work Shown:
1/4 = 2/8
1/4 - 1/8 = 2/8 - 1/8 = (2-1)/8 = 1/8
She ran 1/8 of a mile further than she walked.
Would someone please help me with this
Answer:
12,000 m³
Step-by-step explanation:
Area of it's base = 900 m²Height of the pyramid = 40 mThe volume of a pyramid = 1/3 × area of base × height
= 1/3 × 900 × 40
= 300 × 40
= 12,000 m³
HELP ME PLEASEEEEEEEEE
Answer:
The answer is a.
Step-by-step explanation:
M < 7
Hope that helps!
Evaluate the given expression 2/3+1/9=
Consider U = {x|x is a real number}. A = {x|x ∈ U and x + 2 > 10} B = {x|x ∈ U and 2x > 10} Which pair of statements is correct? 5 ∉ A; 5 ∈ B 6 ∈ A; 6 ∉ B 8 ∉ A; 8 ∈ B 9 ∈ A; 9 ∉ B
8 is not an element of set A since all the elements must be greater than 8. 8 ∉ A is correct.
Sets and valuesGiven the following set of values
U = {x|x is a real number}
A = {x|x ∈ U and x + 2 > 10}
B = {x|x ∈ U and 2x > 10}
The equivalent elements of the sets are:
U = {real numbers}
A = {x > 8}
B = {x > 5}
From the set above, we can see that 8 is not an element of set A since all the elements must be greater than 8.
Learn more on sets here: https://brainly.com/question/13458417
It's C. 8 ∉ A; 8 ∈ B
Pam went on a quiz show. The questions in the first round were worth 4 points. The questions in the second round were worth 6 points. Pam answered a total of 14 questions and earned 66 points. How many questions did she answer in each round?
Answer:
lala i dont really know aaa
3 bells ring at intervals of 3, 6, and 8 minutes. If they all rang together at
3:00, what time will they ring together again?
Answer:
The next they will ring again is after 8 hours.
Step-by-step explanation:
Find the least common multiple of 3,6 and 8:
3,6,9,12,15,18,21,24
6,12,18,24
8,16,24
The least common multiple is 24 so all 3 bells will ring together every 24 minutes.
answer: 3:24
What is 2 times 2?
Thanks if you would or could help its for math class
Answer:
the answer is 4
Step-by-step explanation:
if you multiply 2 x 1 = 2 then multiply 2 x 2 = 4 add two two times
Marty has saved $63. He spent $3 on a video rental. Write a ratio as a fraction in simplest form to represent what portion of his savings he has left.
Answer:
60/63, 60 : 63
Step-by-step explanation:
63 - 3 = 60
60 is left over. The total amount is 63
Therefore 60/63
Which of the following is an integer?
3/2?
Answer:
3/2 is not a interger a interger is any number that does not have a decmil point if we convert 3/2 to a decmil point you get 1.5 which has a desmil point
no
Hope This Helps!!!
I don't know if there is supposed to be a picture, but 3/2 is not an integer, simplified it would be 1 and 1/2 which isn't a integer
How many solutions of the linear equation 5x + 3y = -5 has ?
Answer:
You can solve it yourself
Step-by-step explanation:
By using demos graphing calculator
4(3r - 8)
Simplify the expression