Given:
\(\frac{49a^3}{7a}\)To simplify:
Explanation:
Let us write it in the factored form first.
\(\frac{49a^3}{7a}=\frac{7\times7\times a\times a\times a}{7\times a}\)Canceling common terms, we get,
\(\begin{gathered} =7\times a\times a \\ =7a^2 \end{gathered}\)Final answer: The simplest form is,
\(7a^2\)Cuantas Escuelas de administración hay ?
a storage container holding 1600cubic feet of rice is 8 feet deep x 10 feet wide. How long in feet is the storage container?
Answer:
20 feet.
Step-by-step explanation:
The container is assumed to be a rectangular prism.
The volume would be length × width × height.
l × 10 × 8 = 1600
l × 80 = 1600
l = 1600/80
l = 20
The storage container is 20 feet long.
The length of the storage container is 20 feet long.
What is the volume of cuboid? What is a mathematical function, equation and expression? The volume of cuboid is given by → V{C} = L x B x H function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that a storage container holding 1600 cubic feet of rice is 8 feet deep x 10 feet wide.
The volume of cuboid is given by -
V{C} = L x B x H
So, we can write -
1600 = L x 8 x 10
80L = 1600
L = 20 feet
Therefore, the length of the storage container is 20 feet long.
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The base of a cube has an area of
of 180 cm'. Calculate:
i) the side of the cube.
ii) the total surface area of the cube
Answer:
Step-by-step explanation:
i) the side of the cube is V180=V36*5=6V5
ii) the total surface is 6*180=1080 cm^2
Last week, a chocolate shop sold 9 ounces of white chocolate. It sold 9 9/10 times as much milk chocolate as white chocolate. How many ounces of milk chocolate did the shop sell?
please answer asap
Solving the Question
We're given:
9 ounces of white chocolate sold\(9\dfrac{9}{10}\) times as much milk chocolate as white chocolate soldIf the shop sold " \(9\dfrac{9}{10}\) times as much milk chocolate as white chocolate", we must multiply \(9\dfrac{9}{10}\) by the amount of white chocolate sold to find the amount of milk chocolate sold.
Multiply \(9\dfrac{9}{10}\) by 9 ounces:
\(9\dfrac{9}{10}\times9\)
Convert the fraction into an improper fraction:
\(=\dfrac{99}{10}\times9\)
Multiply:
\(=\dfrac{891}{10}\)
AnswerThe shop sold \(\dfrac{891}{10}\) ounces of milk chocolate.
please help with this
Answer:
Dafuq
Step-by-step explanation:
Answer:
Step-by-step explanation:
They are equal because if you connect the points they both make acute and obtuse angles
Archie bought 100 shares of stock in an ice cream company 2 years ago. He paid $60.65 per share. He just sold all of his shares for $67.68 per share. How much did he gain?
Answer:
Step-by-step explanation:
First, we need to find the difference between the price that he sold the shares for and the price that he bought them at: (67.68-60.65) = 7.03
That means that there was a gain of $7.03 per share for Archie.
That being said, since Archie bought 100 shares, we can multiply that number by 100 to find the total gain from selling the shares:
(7.03x100)= 703
The answer then is:
Archie gained $703 from selling all of his shares.
Jake has a summer job as a photographer at an amusement park. He wants to save$3500 . He must choose whether to sell large photos or small photos. For each photo, he will earn the amounts shown in the table. How many of each kind of photo will he need to sell to reach his goal of $3500 ?
Question: Jake has a summer job as a photographer at an amusement park. He wants to save $3500 . He must choose whether to sell large photos or small photos. For each photo, he will earn the amounts shown in the table. How many of each kind of photo will he need to sell to reach his goal of $3500 ?
Answer: With the added information from the comments, Small Photos cost $12 and Large Photos cost $15.
We want to figure out how many photos of each size Jake will need to earn a total of $3500.
To figure out how many Small Photos Jake needs to sell, you can divide the amount he wants to save by the cost of the small photos:
On my calculator, 3500÷12 equals roughly 291.6666667. Realistically that number doesn't make sense in this context, so it's safe to round that to the nearest whole number, which would be 292. Selling 292 small photos will earn Jake $3504. It's okay that he's earned more than he wanted to save because it's safer to earn more instead of not earning the amount he needs. If we decided to stick with 291 small photos, Jake would have only earned $3492, which isn't enough.
In conclusion, Jake will need to sell 292 small photos.
To figure out how many Large Photos Jake needs to sell, the process is the same for the Small Photos. Again, you divide the amount Jake needs to save by the cost of the Large Photos:
3500÷15= 233.3333333 ... the threes keep repeating. As mentioned before, this number realistically doesn't make sense, so we must round again to the next whole number. That would be 234 Large Photos. By selling 234 Large Photos Jake will earn $3510 instead of $3495 if he had only sold 233 Large Photos.
(Hope this helps :). Please let me know if there's any confusion in my explanation)
PLEASE HELP ME SOMEONE!!!
An airplane took three trips. This table shows how many miles it traveled on each trip. How many miles did the airplane travel in all? Enter your answer in the box
The airplane traveled a total distance of 5530 kilometers in all three trips.
What is theory of summation or addition?A basic mathematical procedure called summation is adding together a sequence of integers to determine their total or sum.
A fundamental mathematical idea known as the theory of addition or summation is utilised in many practical situations to compute distances, amounts, totals, or sums in disciplines including physics, engineering, economics, and statistics. It is a fundamental mathematical operation that aids in calculating the sum of a group of integers and is frequently applied in many problem-solving contexts.
Given(refer to image):
Trip 1: 2372 km
Trip 2: 1283 km
Trip 3: 1875 km
To calculate the total miles traveled by the airplane, we add the distances traveled on each trip:
2372 + 1283 + 1875 = 5530 km
Hence, total distance of 5530 kilometers was travelled by the airplane in all three trips.
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50 Points! Multiple choice algebra question. Photo attached. Thank you!
Answer:
C
Step-by-step explanation:
cot²θ = 1/tan²θ
plug this in to get
1/(1/tan²θ + 1)
1/tan²θ + 1 = 1/tan²θ + tan²θ/tan²θ = (1+tan²θ)/tan²θ
we then have
1/((1+tan²θ)/tan²θ)
1/(x/y) = y/x, so this is equal to
tan²θ/(1+tan²θ)
tan²θ = sin²θ/cos²θ, so plug this in to get
(sin²θ/cos²θ)/(1+sin²θ/cos²θ)
1+sin²θ/cos²θ = cos²θ/cos²θ + sin²θ/cos²θ
sin²θ + cos²θ = 1, so we have
(cos²θ+sin²θ)/cos²θ = 1/cos²θ. plug this in to get
(sin²θ/cos²θ)/(1/cos²θ)
(a/b)/(c/d) = (d/c) * (a/b), so we have
(sin²θ/cos²θ)/(1/cos²θ) = cos²θ/1 * sin²θ/cos²θ = sin²θ
Una sala de cine de New York vende las entradas para niños a 3 dólares y las de los adultos a 5 dólares. Si para ver una película pueden ingresar tanto niños como adultos y en un día
ingresan 345 espectadores, recaudando por concepto de venta de boletas 1365 dólares. Se
puede afirmar que el número de niños y adultos que ingresaron fue:
A la sala de cine ingresaron 180 niños y 165 adultos.
¿Cuántos niños y adultos ingresaron a una sala de cine?
De acuerdo con el enunciado, la sala de cine tiene capacidad para 345 espectadores y cobra 3 dólares por cada niño y 5 dólares por cada adulto. Asimismo, esta sala tiene un recaudo diario de 1365 dólares. La situación puede ser sintetizada en la siguiente ecuación algebraica:
3 · x + 5 · (345 - x) = 1365
Donde x es el número de niños que asistieron a la sala de cine.
Ahora despejamos la variable correspondiente mediante propiedades algebraicas:
3 · x + 1725 - 5 · x = 1365
1725 - 2 · x = 1365
2 · x = 1725 - 1365
2 · x = 360
x = 180
Ahora, el número de adultos es:
y = 345 - 180
y = 165
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The ratio of dogs and cats in the veterinarians office is 9:7What is the ratio of dogs to the number of dogs and cats in the veterinarians office
Answer:
9:16
Step-by-step explanation:
If there are 9 dogs and 7 cats and you need to know the total number of cats and dogs add the numbers together (16) and put the number of dogs in front of it (9). So the answer is 9:16
Answer:
9:16
Step-by-step explanation:
because he ratio of cats to dogs is 9:7, so that means the 9 is how many dogs their are, 9 + 7= 16, making 9:16 (i'm wrong i'm positive i might be right)
how do u solve ax² -5ax+6a
Answer:
a(x - 3)(x - 2)
Step-by-step explanation:
\(a {x}^{2} - 5ax + 6a \\ \\ = a {x}^{2} - 3ax - 2ax + 6a \\ \\ = ax(x - 3) - 2a(x - 3) \\ \\ = (x - 3)(ax - 2a) \\ \\ = (x - 3)a(x - 2) \\ \\ = a(x - 3)(x - 2)\)
Which is the same as dividing a number by 10?
A, Move the decimal one place to the left.
B, Move the decimal one place to the right.
C, Move the decimal two places to the left.
D, Move the decimal two places to the right.
Answer:
A is the answer
Step-by-step explanation:
Anytime a number is being divided by 10 it moves to the left creating a decimal.Example : 5÷10 = 0.5 , 500÷10 = 50
Anytime a number is being multiplied by 10 the number increases with a 0. Example : 5 × 10 =50
I hope this helped
Answer:
A
Step-by-step explanation:
When it comes to division, we usually move to the left, but multiplication is to the right. Then it is division by 10, which has only one zero, so we move once to the left.
1
Use the drawing tools to form the correct answer on the number line.
Graph the solution to this inequality on the number line.
0.3(x-4) > -0.3
The solution is x > 3. The values of x are greater than 3.
what is inequality?
It is a mathematical symbol that represent the non-equal comparison between different terms as well as other mathematical expressions. Inequality is various types such as greater than >, less than <, greater than or equal ≥ and less than or equal ≤.
How to solve the inequality given in question?
Given, 0.3 (x -4) > -0.3
at first, we will remove the parenthesis and multiply by the given factor
0.3 × x - 0.3× 4 > -0.3
0.3x - 1.2 > - 0.3
now we add 1.2 to both side in order to isolate the variable terms
0.3x - 1.2+1.2 > - 0.3 + 1.2
0.3x > 0.9
in the next both side is divided by 0.3
0.3x/ 0.3 > 0.9/ 0.3
x > 3
the above is the result
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Refer to the information below to answer Questions 9 and 10. Value of Property Up to K35 000 K35 000 to K70 000 K70 000 to K140 000 Over K140 000 10. Rate of Stamp Duty 2% 3% 4% 5% 9. Calculate the stamp duty payable on properties whose purchase price is K45 000. (1 mark) Answer: Calculate the stamp duty payable on properties whose purchase price is K150 000. (1 mark) Answer:
9. The stamp duty payable on a property with a purchase price of K45,000 is K1,350.
10. The stamp duty payable on a property with a purchase price of K150,000 is K7,500.
To calculate the stamp duty payable on properties with a purchase price of K45,000 and K150,000, we need to apply the corresponding rates of stamp duty based on the given information.
Given:
Value of Property:
Up to K35,000: Stamp Duty Rate - 2%
K35,000 to K70,000: Stamp Duty Rate - 3%
K70,000 to K140,000: Stamp Duty Rate - 4%
Over K140,000: Stamp Duty Rate - 5%
9. Calculate the stamp duty payable on properties whose purchase price is K45,000:
Since the purchase price of K45,000 falls within the range of K35,000 to K70,000, the stamp duty rate applicable is 3%.
Stamp Duty Payable = Purchase Price * Stamp Duty Rate
= K45,000 * 3%
= K45,000 * 0.03
= K1,350
Therefore, the stamp duty payable on a property with a purchase price of K45,000 is K1,350.
10. Calculate the stamp duty payable on properties whose purchase price is K150,000:
Since the purchase price of K150,000 is above K140,000, the stamp duty rate applicable is 5%.
Stamp Duty Payable = Purchase Price * Stamp Duty Rate
= K150,000 * 5%
= K150,000 * 0.05
= K7,500
Therefore, the stamp duty payable on a property with a purchase price of K150,000 is K7,500.
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To the nearest tenth, find the area of a circle with d = 15km. Use 3.14 for . Remember: you must find the radius before you use the formula
Answer:
radius r = 7.5 km
diameter d = 15 km
circumference C = 47.1238898 km
area A = 176.714587 km2
Step-by-step explanation:
math
According to the general equation for conditional probability, if P(AB) =3/7 and P(B)=7/8,
what is P(AIB)? O A. O B. O c. O D. 16 49 32 24 49
Answer:
(d) 24/49
Step-by-step explanation:
You want to know P(A|B) when P(AB) = 3/7 and P(B) = 7/8.
Conditional probabilityThe general equation for conditional probability tells you ...
P(A|B) = P(AB)/P(B)
P(A|B) = (3/7)/(7/8) = (3/7)·(8/7)
P(A|B) = 24/49
What should you substitute for x in the second equation (bottom equation) in order to solve the system by the substitution method?
We substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.
The given system of equations are 2x-1/3y = -2...(1)
3x+y=1...(2)
We solve this system of equations by using substitution method.
Let us solve for x in equation to substitute it in equation (2).
2x=-2+1/3y
Divide both sides of equation by 2.
x=-1+1/6y
Now plug in the value of x in equation 2.
Hence, we substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.
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Dan pays £240 per week in rent.
His landlord decides to decrease the rent by 2.5%.
How much rent does he pay now?
Answer:
234 pounds
Step-by-step explanation:
100% - 2.5% = 97.5%
(0.975)(240) = 234
234 pounds
Answer:
Dan pays £234 now.
Step-by-step explanation:
240 - 2.5% * 240 = 234
Therefore, he pays £234.
Thenks and mark me brainliest :))))
Zoe can deposit only a small amount in her savings account every month. Which statement is true about her savings plan?
A. Zoe needs to save a lot more because that is the only way the interest will grow.
B. Zoe should just spend her money because she can't save enough.
C. Zoe can save a lot over time with a small amount invested because the interest will grow.
D. Zoe's account will close because she isn't depositing enough to gain interest.
Answer: C
Step-by-step explanation: I got it right
can someone evaluate this expression i will give brainliest
Answer:
82
Step-by-step explanation:
\(4^3 + \frac{96}{8} \cdot 5 - 42 = 64 + 12\cdot 5 - 42 = 64 + 60 - 42 = 82\)
Answer:
82
Step-by-step explanation:
PEMDAS
\(4^{3}\) + [(96 ÷ 8) x 5] - 42
\(4^{3}\) + [(12) x 5] - 42
4^3 + (60) - 42
64 + 60 - 42
124 - 42
82
hope this helps :)
help please and thank you
Answer:
1) 9x
2) 3b
3) 3m
4) 5a
5) 7x
6) 3a + 5b
7) 9x - 4
8) 2b + m
9) 13a + b + 6c
10) 9b + 1
11) 7p
12) 2a + b -10
Step-by-step explanation:
Given that p(x)=2(5−x)2+1 , what is the value of p(-4)? Responses
Answer:
37
Step-by-step explanation:
x=-4
=2(5-(-4)2+1
=2(5+4)2+1
=2(9)2+1
=18(2)+1
=36+1
=37
Adu has a rectangular field. it is 85m long and 25m wide . How long is the fence round the field?
Answer:
220mStep-by-step explanation:
you only need to find the perimeter,
add the lengths of the rectangle's four sides
85+25+85+25=
220m
Dimensional Analysis How many seconds old are you if your 16 yrs old? show work
Answer:
504,576,000
Step-by-step explanation:
16 years x 365 days x 24 hours x 60 minutes x 60 seconds = 504576000
The average amount of money spent by students in the cafeteria last week was $2.75. The actual amount spent varied by no more than $0.50. Write and solve an absolute value inequality to represent the range of possible amounts.
The average amount of money spent by students in the cafeteria last week was between $2.25 to $3.25
What is an equation?An equation is used to show the relationship between numbers and variables. An equation can be linear, quadratic depending on the degree.
Let x represent the average amount of money spent by students.
The absolute value inequality is given by the equation:
|x - 2.75| = 0.5
Hence:
x - 2.75 = 0.5 or -(x - 2.75) = 0.5
x = 3.25 or x = 2.25
The average amount of money spent by students in the cafeteria last week was between $2.25 to $3.25
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I need help with this question please. This is non graded.
To determine the factor of the given polynomial, first, we rewrite it as follows:
\((16x^2+4x)+(-20x-5).\)Now, notice that:
\(\begin{gathered} 16x^2+4x=4x(4x^+1), \\ -20x-5=-5(4x+1). \end{gathered}\)Factoring out the 4x+1, we get:
\((16x^2+4x)+(-20x-5)=(4x-5)(4x+1).\)Answer: \((4x+1).\)Meggie uncovered some old plans for a dolphin habitat that a previous zoo employee created. She knows guests will enjoy watching the dolphins swim and play: The only problem is the paper has a stain covering one side length of the exhibit!
If the perimeter of the pool is 108 feet, what is the missing side length?
I think it is some ware between 20 and 200 if that helps
Step-by-step explanation:
A number cube numbered 1-6 is rolled 30 times and lands on an even number 18 times.
How does this frequency compare to the expected frequency based on the probability of
the number cube landing on an even number?
The frequency is 15 more than expected.
The frequency is 13 more than expected.
The frequency is 9 more than expected.
The frequency is 3 more than expected.
Done →
Given statement solution is :- The correct answer is: The frequency is 3 more than expected.
To determine the expected frequency of landing on an even number when rolling a fair six-sided number cube, we need to calculate the probability of landing on an even number and multiply it by the total number of rolls.
The number cube has six possible outcomes: 1, 2, 3, 4, 5, and 6. Of these, three are even numbers: 2, 4, and 6. Therefore, the probability of rolling an even number is 3/6, which simplifies to 1/2 or 0.5.
The expected frequency can be found by multiplying the probability by the total number of rolls:
Expected frequency = Probability of landing on an even number × Total number of rolls
Expected frequency = 0.5 × 30 = 15
Now, we can compare the expected frequency (15) to the actual frequency (18) given in the problem statement.
The actual frequency is 18, and it is 3 more than the expected frequency (18 - 15 = 3).
Therefore, the correct answer is: The frequency is 3 more than expected.
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