Which division problem would have an estimated quotient of 15 if the divisor and dividend were rounded to the nearest whole number? 90. 24 divided by 6. 3 79. 85 divided by 3. 99 85. 01 divided by 16. 77 59. 87 divided by 10. 21.
Answers
The division problem that would have an estimated quotient of 15 if the divisor and dividend were rounded to the nearest whole number is 90. 24 divided by 6. 3
From the given question, we are to find the required dividend and divisor such that the result of the quotient will give 15 when rounded up.
For the first option
Dividend = 90.24
Divisor = 6.3
Rounding up to the nearest whole number;
Dividend = 90
Divisor = 6
Taking the quotient of the numbers
Quotient = 90/6
Quotient = 15
Hence the division problem that would have an estimated quotient of 15 if the divisor and dividend were rounded to the nearest whole number is 90. 24 divided by 6. 3
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Related Questions
Find the output for the graph
y = x + 29
when the input value is 10.
Answers
y= 10 + 29
= 39
(x ; y) = (10 ; 39)
Part A: How many solutions does the pair of equations for lines A and B have? Explain your answer.
Part B: What is the solution to the equations of lines A and B? Explain your answer.
Answers
Answer:
One solution, at (3,5)
Step-by-step explanation:
There is only one solution. A solution to a pair of straight line equations is a point at which they both have the same answer (x,y). That happens at the point they intersect. There is only one place these two equations intersect, at (3,5).
Answer:
1
Step-by-step explanation:
Factor the expression completely over the complex numbers. Y^4+14y^2+49
the answer is ((y+i√7)(y-i√7))^2
Am I right
Answers
Factors over the complex numbers for the given expression y⁴ + 14y² + 49 is equal to [ ( y + i√7) (y - i√7 ) ]² .
As given in the question,
Given expression is :
y⁴ + 14y² + 49
Simplify the given expression to get the factors of it , we get ,
y⁴ + 14y² + 49
= y⁴ + 2 ( 7 )y² + ( 7 )²
= ( y² + 7 )²
Now convert the factors into complex numbers ,
= [ y² - (-1)(√7)²]²
We know that ( -1 ) = i²
= [ y² - ( i√7)² ]²
= [ ( y - i√7 )( y + i√7) ]²
Therefore, the complex numbers factors of the given expression is equal to [ ( y - i√7 )( y + i√7) ]².
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A boat is traveling upstream against the current. It takes 45 minutes to travel 30 miles. On the return trip (with the current), it only takes 30 minutes. What is the speed displayed on the boat's speedometer?
Answers
If a boat is traveling upstream takes 45 minutes to travel 30 miles and on the return trip (with the current) takes 30 minutes, the speed displayed on the boat's speedometer is 50 mph.
Let the speed of the boat be x miles per hour and the speed of the current be y miles per hour. The boat is traveling upstream against the current. In this case, the effective speed of the boat is (x - y) miles per hour. The distance traveled is 30 miles.
Therefore, using the formula distance = speed x time, we have:
30 = (x - y) x (45/60)
Simplifying, we get:
30 = (3/4)(x - y)
x - y = 40(1)
On the return trip (with the current), the effective speed of the boat is (x + y) miles per hour. The distance traveled is still 30 miles. Therefore:
30 = (x + y) x (30/60)
Simplifying, we get:
30 = (1/2)(x + y)
x + y = 60(2)
Adding equations (1) and (2), we get:
2x = 100
x = 50 miles per hour
Therefore, the speed displayed on the boat's speedometer is 50 mph.
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is 6 ft 10 ft 12 ft a right triangle
Answers
Answer:
yes..................................
Answer:
......hyhhhhhhhhhhhhhhhhhhhhhhhhhh
A set of one red and one blue light bulb illuminates an otherwise dark room. You pick up a book you know to have a red cover in white light and it still appears to be red. Which of the following statements are true?
- The book cover gets warmer.
- The blue light is absorbed.
- The red light is reflected.
Answers
The following statements are true:
The red light is reflected.
The blue light is absorbed.
When white light, which consists of a combination of all visible colors, illuminates the book with a red cover, the red light component in the white light is reflected by the book cover. As a result, we perceive the book to be red since that is the color of light being reflected back to our eyes.
On the other hand, the blue light component in the white light is not reflected by the red book cover. Instead, it is absorbed by the cover, which means the material of the book cover absorbs the blue light and does not reflect it back. Consequently, we do not see the blue light, and the book still appears to be red.
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so i need this for a math problem on my math subject but i forgot how to do this can you guys help me please its due soon :)
Answers
Answer:
(5,-3)
Step-by-step explanation:
You just find the middle #
(3,-1) and (7,-5)
the middle point of 3 and 7 is 5
the middle point of -1 and -5 is -3
so (5,-3)
an inlet pipe on a swimming pool can be used to fill the pool in 26 hours. the drain pipe can be used to empty the pool in 30 hours. if the pool is 25 filled and then the inlet pipe and drain pipe are opened, how many more hours would it take to fill the pool? round your answer to two decimal places, if needed.
Answers
The total time required to fill the pool completely as per the inlet and drain pipe capacity is given by 146.25 hours.
Let's assume that the capacity of the pool is 1 unit .
The inlet pipe can fill the pool at a rate of 1/26 units per hour.
The drain pipe can empty it at a rate of 1/30 units per hour.
When both pipes are open,
The net rate of filling is the difference between the rate of filling and the rate of emptying,
Net rate = Rate of filling - Rate of emptying
⇒Net rate = 1/26 - 1/30
⇒Net rate = (30 -26 )/780
⇒Net rate = (4)/780
⇒Net rate = 1/195 units per hour
Since the pool is already 25% filled.
This implies,
It still needs to be filled by another 0.75 units.
The time required to fill the pool by 0.75 units at a net rate of 1/195 units per hour can be found using the formula,
Time = Amount of filling needed / Net rate
⇒Time = 0.75 / (1/195)
⇒Time = 146.25 hours
Therefore, the total time taken to fill the pool completely would take another 146.25 hours.
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A car and truck traveling in opposite directions left Washington, D.C. The car traveled 19 miles per hour faster than the truck, and at the end of 3 hours the vehicles were 1448 miles apart. What was the average speed of each vehicle?
Answers
Answer:
1391/6 and 1505/6
Step-by-step explanation:
Let x be truck's speed and x+19 be car's speed. Since they are going opposite, we can set up an equation: 3(2x+19)=1448. x= 1391/6
. determine whether each of the following statement is true or false: a) x ∈ {x} true b) {x} ⊆{x} c) {x} ∈{x} d) {x} ∈ {{x}}
Answers
The statement "x ∈ {x}" is true. The statement "{x} ⊆ {x}" is true. The statement "{x} ∈ {x}" is false. The statement "{x} ∈ {{x}}" is true.
a) The statement is true because an element x can be a member of a set that contains only itself. In this case, the set {x} contains the element x.
b) The statement is true because every element in {x} is also in {x}. Since both sets are identical, {x} is a subset of itself.
c) The statement is false because a set cannot be an element of itself. In this case, {x} is a set, and it cannot be an element of the same set.
d) The statement is true because the set {{x}} contains the set {x} as its only element. Therefore, {x} is an element of the set {{x}}.
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1 What is the value of x in the equation 8x - 5(x - 1) = 20?
Answers
Answer:
x = 5
Step-by-step explanation:
Here we want to simplify and solve for x:
8x - 5(x - 1) = 20
8x - (5x - 5) = 20 (distribute the 5)
8x - 5x + 5 = 20 (subtract each of the terms / distribute the understood -1)
3x = 15 (combine like terms)
x = 5
check your answer by plugging x = 5 back into the equation:
8(5) - 5(5 - 1) = 20
40 - (5*4) = 20
40 - 20 = 20
20 = 20
Pls ans this question step by step not only ans if it will help me than I will thanks uu comment uu pls ansme
Answers
Answer:
-2x+7
Step-by-step explanation:
Which ordered pair describes a point with a location in the first quadrant of a coordinate plane?
(4, -6)
(-8, -4)
O
(3, 2)
(-6, 10)
Answers
Answer:
(3, 2)
Step-by-step explanation:
if one root is the square of the other in the equation 8+mx+27x²=0,find the value of m
Answers
Answer:
The value of \(m\) is -30.
Step-by-step explanation:
Let \(27\cdot x^{2}+m\cdot x +8 = 0\), we notice that expression is a second order polynomials. We can rearrange the polynomial and use factorization to calculate all roots:
\(x^{2}+\frac{m}{27}\cdot x + \frac{8}{27} = 0\) (1)
\(-x^{2}-x = \frac{m}{27}\) (2)
\(x^{3} = \frac{8}{27}\) (3)
From (3) we find the least root:
\(x = \sqrt [3]{\frac{8}{27}}\)
\(x = \frac{2}{3}\)
By (2) we have the value of \(m\):
\(m = -27\cdot (x^{2}+x)\)
\(m = -30\)
consider a polynomial of the form $ax^2 - bx c$ with integer coefficients, such that it has two distinct zeros in the open interval $0 < x < 1.$ find the least positive integer value of $a$ for which such a polynomial exists.
Answers
The problem is saying there are two distinct zeros, and both are strictly lie between 0 and 1. The least positive integer value of "a" is 5 for which such a polynomial exists.
Let f(x) = ax² - bx + c , be our polynomial.
where a,b are integers coefficient and c constant. It has two distinct real roots lying between 0 and 1. f(x) can be written as, f(x) = a(x−α)(x−β)
where α and β are the roots of the equation.
we can be observed that f(0)f(1) > 0
As a,b and c are integers f(0)f(1) > 1
f(0) = aαβ , f(1)=a(1−α)(1−β)
=> a²(α)(1−α)(β)(1−β) > 0 -------(1)
Using A.M ≥ G.M, we get
(α+1−α+β+1−β)/4 > (αβ(1−α)(1−β))¹/⁴
Arithmetic Mean and Geometric Mean cannot be equal because the equation has distinct roots.
a²/16 > a²(αβ(1−α)(1−β)).
=> a²/16 > 1
=> a > 4
Therefore, the minimum value of 'a' is 5
The discriminant of the equation,
Δ = b²−4ac ≥ 0
=> b² >20c
consider the minimum value of c = 1,
we get b² >20
=> Minimum Value of b = 5.
Hence, the least positive integer of 'a' is 5.
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Find the product of (–d + e)(4e + d). Which statements are true? Check all that apply.
There are 2 terms in the product.
There are 3 terms in the product.
There are 4 terms in the product.
The product is degree 1.
The product is degree 2.
The product is degree 4.
Answers
Hello!
This is a question about multiplying to get a polynomial answer.
Here we can use two strategies, which will get you the same strategy.
One is using a Punnett Square, and the other would be FOILing.
I personally like Punnett Squares, but I will use FOILing for the sake of being online.
FOIL stands for First, Outside, Inside, Last, which describes how the terms should be multiplied.
Let's multiply the first terms.
(-d + e)(4e + d)
\(-4de\)
The outside terms.
(-d + e)(4e + d)
\(-d^2\)
The inside terms.
(-d + e)(4e + d)
\(4e^2\)
The last terms.
(-d + e)(4e + d)
\(de\)
Now you just add them together to find the polynomial.
\(-d^2+4e^2-4de+de\)
\(-d^2+4e^2-3de\)
There are three terms in the product, and the product is degree 2, since the highest degree of the equation (the highest power any term is raised to) is 2.
Hope this helps!
B and E are the answers to find the product of (-d+e)(4e+d).
(2.1) T/F A system is made of two or more equations.
Answers
True.
A system of equations is a set of two or more equations that are to be solved simultaneously.
A system of equations is a set of two or more equations that are to be solved simultaneously. In linear algebra, a system of equations is typically represented as a set of linear equations in the form:
a11x1 + a12x2 + ... + a1nxn = b1
a21x1 + a22x2 + ... + a2nxn = b2
...
am1x1 + am2x2 + ... + amnxn = bm
where the variables x1, x2, ..., xn are the unknowns, the coefficients aij and the constants bi are given, and the goal is to find a solution vector (x1, x2, ..., xn) that satisfies all the equations in the system.
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Simplify using order of
operations.
2+2³ (7-1)
E
MD
AS
Enter
Answers
Answer: 50
Step-by-step explanation:
?
Spike eats 6 hotdogs in 4 minutes. How many hotdogs can he eat in 1 hour.
Answers
Answer:
90
Step-by-step explanation:
YW
Answer:
90
Step-by-step explanation:
60/4 =15
15 x 6=90
What is the area of ABC such that b-26 cm, c-14 cm, and m
O 105.246 cm²
O 102.250 cm²
O 76.613 cm²
O62.248 cm²
Answers
Find F'(x): F(x) = Sx 3 t^1/3 dt
Answers
The derivative of F(x) is \(F'(x) = x^{(1/3)\).
What is function?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
To find the derivative of the given function F(x), we will apply the fundamental theorem of calculus and differentiate the integral with respect to x.
Let's compute F'(x):
F(x) = ∫[0 to x] \(t^{(1/3)} dt\)
To differentiate the integral with respect to x, we'll use the Leibniz integral rule:
F'(x) = d/dx ∫[0 to x] \(t^{(1/3)} dt\)
According to the Leibniz integral rule, we have to apply the chain rule to the upper limit of the integral.
\(F'(x) = x^{(1/3)} d(x)/dx - 0^{(1/3)} d(0)/dx\) [applying the chain rule to the upper limit]
Since the upper limit of the integral is x, the derivative of x with respect to x is 1, and the derivative of 0 with respect to x is 0.
\(F'(x) = x^{(1/3)} (1) - 0^{(1/3)} (0)\)
\(F'(x) = x^{(1/3)\)
Therefore, the derivative of F(x) is \(F'(x) = x^{(1/3)\).
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Solving an algebra problem exemplifies _____ because there is generally one right answer to such a problem.
Answers
Solving an algebra problem exemplifies Objective because there is generally one right answer to such a problem.
How is the objective determined?
Objective refers to a fact that is not influenced by personal opinions or feelings and is quantifiable.
In the case of solving an algebra problem, the solution is based on a set of pre-established rules and formulas that result in a single correct answer that is quantifiable and objective.
A variable is any symbol that can represent any number. It can be used in place of a specific number and can take on a range of values. In algebra, equations and formulas are used to manipulate these variables to find their values.
The use of objective rules and formulas is what makes solving algebra problems objective.
Therefore, it can be concluded that solving an algebra problem exemplifies Objective because there is generally one right answer to such a problem.
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complete the number sentence to make it true 54.609____54.69
A. <
B. >
C. =
ILL GIVE BRAINLIEST PLEAAW
Answers
Answer:
54.609 < 54.69
Step-by-step explanation:
54.69 is closer to a whole number than 54.609 making it the greater number
HELP ME I NEED HELP!!!
Answers
Answer: B
Step-by-step explanation:
4.2 / 0.25 = 21
0.4 · 21 = 8.4
8.4 + 2.5 = 10.9
Solve for c. c/8 – 18 > ‐16
Answers
Answer:
c>16
Step-by-step explanation:
The value of a computer which was bought for rs40,000 depreciates at 10%annually what will be the cost of computer after 2 years
Answers
Answer:
Rs32400
Step-by-step explanation:
By the first year, it will decrease by : 40000 x 10% = 4000
The price will be : 40000 - 4000 = 36000 (Rs)
The next year, it will decrease by : 36000 x 10% = 3600
The price will be : 36000 - 3600 = 32400(Rs)
Hope it helps :)
WHAT IS THE SLOPE OF THE LINE THAT MODELS THIS SITUATION?
Answers
right 2 and down 1 so its (2,-1)
The radius of a circle is 9 miles. What is the area of a sector bounded by a 60° arc?Give the exact answer in simplest form. ____ square miles. (pi, fraction,)
Answers
Given a figure of a circle:
As shown, the radius of the circle = r = 9 miles
The shown sector bounded by a 60-degree arc
We need to find the area of the shown sector
as we know the area of the circle =
\(\pi\cdot r^2\)The area of the sector represents 60/360 of the area of the circle
So, the area of the sector =
\(\frac{60}{360}\cdot\pi\cdot r^2=\frac{1}{6}\cdot3.1416\cdot9^2=42.4115\)so, the answer will be the area of the shown sector = 42.4115 square miles
We will write the area in terms of pi and fractions as follow:
\(\frac{1}{6}\cdot\pi\cdot9^2=\frac{27}{2}\pi\)So, the answer will be:
\(\frac{27}{2}\pi\)Let the function f be defined by f(x) =5x – 2a where a is a constant. If f (10) + f (5) = 55, what is the value of a? A) – 5 B) 0 C) 5 D) 10 E) 20
Answers
If the function f be defined by f(x) =5x – 2a, then the value of a is 5.
Let the function f be defined by f(x) =5x – 2a
The value of f(10)
f(x) =5x – 2a
f(10) = 5(10) - 2a
f(10) = 50 - 2a
The value of f(10)
f(x) =5x – 2a
f(5) = 5(5) - 2a
f(5) = 25 -2a
f (10) + f (5) = 55,
50 - 2a + 25 - 2a = 55
-4a = 55 - 75
4a = 20
a = 5
Therefore, if the function f be defined by f(x) =5x – 2a, then the value of a is 5.
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The perimeter of the Canadian Flag is 192 cm. Its length is twice the width.
If x = the length of the flag and y = the width of the flag, the linear system of
equations that could be used to model this situations is,
ax + 2y = b
A cx = dy
The value of a is:?
The value of b is:?
The value of c is:?
The value of d is:?
Answers
Step-by-step explanation:
solution
the perimeter of Canadian Flag = l×b
l=2w
l=x, w=y
192=2w+w
Therefore the equation
2w+w=192≈ax+2y=b
a=2
b=192