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a. 320 km in 5 hours is a rate of ______ per hour.
b. 48 books bought for $360 is at the rate of _______ per book.
c. If 900 litres of water flows through a tap in 2 hours, it is the rate of _____ per minute.
d. Richard works for 10 hours and is paid $145. His rate of pay is _____ per hour.
e. 5kg of peas cost $12.58, which equals _____ per kg.
Answer:
a. 64
b. 7.5
c. 7 min 5 sec
d. 14.5
e. 2.52
The rate per hour is known as the average speed.
Average speed = total distance / time
320 / 5 = 64 km / hr
The rate per book is the cost of one book.
Cost of one book = total cost of the book / number of books bought
$360 / 48 = $7.50
The rate per minute = total litres / total minutes
900 / (2 x 60)
900 / 180 = 5 litres per minute
Rate pay per hour = total amount earned / total hours worked
$145 / 10 = $14.50 per hour
Cost per kg = total cost of the peas / total weight of the peas
$12.58 / 5 = $2.52 per kg
To learn more about average speed, please check: brainly.com/question/9834403
The closing amount of the Dow Jones Industrial Average on the stock market for four days is shown in the table below.
Date
Closing amount (in points)
01/27
13,895.98
01/28
13,881.93
01/29
13,954.4
01/30
13,860.42
Which best represents the greatest amount of change that took place from one day to the next day over the four-day period?
a loss of 93.98 points
a loss of 72.47 points
a gain of 72.47 points
a gain of 93.98 points
Answer:
The first option
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Evaluate the expression | 9 | + | - 2|
Answer: 11
Step-by-step explanation:
|9| + |-2| =
9 + 2 = 11
Subtract.
(2x4−x2+5x−2)−(−x4+3x3+2x2−1)
Answer:
477
Step-by-step explanation:
:)
According to the synthetic division below, which of the following statements
are true?
Check all that apply.
The question is not complete, so i have attached it.
Answer:
Options A, B & E are correct
Step-by-step explanation:
In the synthetic division attached, we see that:
: 2 , -2 & -12 are the coefficient of the dividend of the function 2x² - 2x - 12
: The divisor is 3
Thus;
x = 3 is a root of f(x) = 2x² - 2x - 12
Thus, (x - 3) is a factor of the dividend which is the function f(x) = 2x² - 2x - 12
- Now, from the attached image, the coefficients of the quotient are 2 , 4
- The quotient will be 1 degree less than the dividend since it was divided by the factor (x - 3)
The degree of the dividend will be 2 since it contains x²
Thus, the degree of the quotient will be 1
Therefore, the quotient in factor form is (2x + 4)
Looking at the given statements in the options;
- Option A is true, because we have established earlier that 3 is a root of f(x) = 2x² - 2x - 12
- Option B is true because we have established that (x - 3) is a factor of 2x² - 2x - 12
- Option C is not true because the factor is (x + 3) and not (x - 3)
-Option D is not true because the root is 3 and not -3
- Option E is true because we have established that quotient as a factor is: (2x + 4)
Thus, the correct options are A , B , E
Answer my math question I asked so many times I lost most of points help by
y-intercept: (0, 1)
Line of symmetry calculation: x = -b/2a = -(-2)/2(2) = 0.5
Line of symmetry: x = 0.5
Open UP or DOWN: Opens UP
Min or Max: Min
Vertex: (0.5, 0.5)
Domain: {x|x ∈ ℝ}
Range: {y|y ≥ 1/2}
How to find
range
mode
median
mean
Answer:
- Mode-The most repetitive number! - Median:The number in the MIDDLE when they are IN ORDER! - Mean- The AVERAGE OF ALL NUMBERS: You add up all the numbers then you divide it by the TOTAL NUMBER of NUMBERS! - Range - THE BIGGEST minus the Smallest!
branliest
Step-by-step explanation:
Range: To find the range we have find the smallest and highest numbers in a list or set. To find the range put the number on order, and then subtract the lowest number from the highest number.
Mode: To find the mode of a data set, we have to look the number that occurs most frequently in the set, and to find the mode we have to count how many times each number occurs.
Median: To find the median, first order the numbers from smallest to largest. Then find the middle number.
Mean: To find the mean we have to add up all the numbers, Then divide by how many numbers there are.
Math Trick
43 x 67 = ?
Answer:2881
Step-by-step explanation:
Answer:
2881
Step-by-step explanation:
In order for two figures to be considered similar, which of the following MUST be true? (Check all that apply) There is more than one answer.
Corresponding sides are proportional
Corresponding sides are congruent
The shapes are exactly the same in side length and angle measure
Corresponding angles are congruent
Answer:
According to me all the options are correct
Describe the set of all complex numbers that are at a distance of 2 units from the origin.
Answer:
The description of the set is [tex]A = \{s\in \mathbb{C}|\|s\| = 2\}[/tex].
Step-by-step explanation:
From Complex Analysis, we remember that complex numbers are numbers whose form is:
[tex]s = a+i\, b[/tex], [tex]a,b \in \mathbb{R}[/tex] (1)
Where [tex]i = \sqrt{-1}[/tex].
In addition, the distance from the origin is defined by the following Pythagorean identity:
[tex]\|s\| = \sqrt{a^{2}+b^{2}}[/tex] (2)
The following condition must be satisfied:
[tex]\|s\| = 2[/tex]
Then, the set of all complex numbers that are at a distance of 2 units from the origin is described below:
[tex]A = \{s\in \mathbb{C}|\|s\| = 2\}[/tex] (3)
The set of all complex numbers that are at a distance of 2 units from the origin is [tex]\{z\in \mathbb{C} :\text{ }|z|=2\}[/tex]
A complex number, written in rectangular form is
[tex]z=a+ib\\a,b\in \mathbb{R}[/tex]
The distance of a complex number from the origin (the modulus of the complex number, denoted by [tex]|z|[/tex]) is given by the formula
[tex]|z|=\sqrt{a^2+b^2}[/tex]
Since we want all the complex numbers to be at the distance of 2 units from the origin, they must satisfy
[tex]|z|=2[/tex]
thus, the set we are looking for is
[tex]D=\{z\in \mathbb{C} :\text{ }|z|=2\}[/tex]
where [tex]\mathbb{C}[/tex] is the set of all complex numbers
Learn more about complex numbers here: https://brainly.com/question/12274048
Someone please help me, please
What is the solution to the equation shown below? (2/3)x + 5 = 1
Answer:
The solution is x = −6.
Step-by-step explanation:
are these all right?? PLS HELP IM SO DUMB AHAH.
Answ
yes
Step-by-step explanation:
Answer:??
Step-by-step explanation: How do I use this app??
X-7
4x + 1
ngle.
6x + 2
Find the perimeter
Answer:
ANSWER
GIVEN:
OA= 3x-1 , OC= 5x-3, OD= 6x-5 , BO = 2x+1
AO/OC = BO/OD
[The diagonals of a Trapezium divide each other proportionally]
(3x-1)/(5x-3) =( 2x+1)/(6x-5)
(3x-1) (6x-5) = (5x-3) ( 2x+1)
3x(6x-5) -1 (6x-5) = 2x(5x-3)+1(5x-3)
18x² -15x -6x +5 = 10x² -6x +5x -3
18x² -21x +5 = 10x² - x -3
18x² -10x² -21x + x +5+3 =0
8x² - 20x +8= 0
4(2x² -5x +2) = 0
2x² -5x +2 = 0
2x² -4x -x +2= 0
[By factorization]
2x(x-2) -1(x-2)= 0
(2x-1) (x-2) = 0
(2x-1) = 0 or (x-2) = 0
x = ½ or x = 2
If we put x= ½ in OD , The value of OD is negative.
Hence, the value of is x = 2.
Step-by-step explanation:
1 =29 and 2=44...............
help
state the multiplicity for each root
[tex]3(x^{2} + 5)^ {2} ( {x}^{2} - 25)^{3} (x - 8)^{4} = 0[/tex]
state the multiplicity for each root
Answers:
The two complex or imaginary roots [tex]x = i\sqrt{5}[/tex] and [tex]x = -i\sqrt{5}[/tex] have multiplicity 2.The two real roots x = 5 and x = -5 have multiplicity 3The root x = 8 has multiplicity 4======================================================
Explanation:
We'll use the zero product property to solve.
[tex]3(x^2+5)^2(x^2-25)^3(x-8)^4 = 0\\\\(x^2+5)^2=0 \text{ or } (x^2-25)^3=0 \text{ or } (x-8)^4 = 0\\\\x^2+5=0 \text{ or } x^2-25=0 \text{ or } x-8 = 0\\\\x^2=-5 \text{ or } x^2=25 \text{ or } x = 8\\\\x=\pm\sqrt{-5} \text{ or } x=\pm\sqrt{25} \text{ or } x = 8\\\\x=\pm i\sqrt{5} \text{ or } x=\pm 5 \text{ or } x = 8\\\\[/tex]
where [tex]i = \sqrt{-1}[/tex]
----------------------
The notation [tex]x=\pm i\sqrt{5}[/tex] breaks up into [tex]x=i\sqrt{5} \text{ or } x=-i\sqrt{5}[/tex]. The multiplicity of these two roots is 2 as it's the exponent of the factor [tex](x^2+5)^2[/tex]. Focus on the outermost exponent.
The notation [tex]x = \pm 5[/tex] becomes [tex]x = 5 \text{ or } x = -5[/tex]. The multiplicity of these two roots is 3 since it's the outermost exponent of the factor [tex](x^2-25)^3[/tex]
And finally, the multiplicity of the root x = 8 is 4 because it is the outermost exponent of the factor [tex](x-8)^4[/tex]
A 2 1/2 pound bag of grass seed covers 1/8 of an acre.How much grass seed is needed for 1 acre
Answer: 8 times more 8*2 1/2 = 20 pounds.
Step-by-step explanation: If 2.5 pounds cover 1/8 then simply multiply the 2.5 by 8, since you'll need 8/8. 8/8=1.
I hope this helps :)
in the figure given alongside find angle ACD angle ADC and angle DAE
Frank bought 5 pounds of dog food for 8.75. At this rate how much would he pay for 8 pounds
$14
you need to set up a preportion
if 5 lbs costs 8.75 then we need to figure out how much 8 lbs cost, obviously lol.
anyways what ya finna do is make a fraction
5 8
--- = ----
8.75 x
then u cross multiply. 8 x 8.75 = 70
70 = 5x
x= $14
Suppose AP = 2 cm and BQ = 7 cm. What is the length of PC?
Step-by-step explanation:
is this a quadrilateral? or polygon or triangle?
what are the angles (I believe there should be at least an angle given) else PC can be any value that is positive
which is closer to 0 3/8 or -1/3
Answer:
3/8
Step-by-step explanation:
Answer:
3/8 = 9/24
1/3 = 8/24
-1/3 is closer to 0
3/8 is farther from 0
Rosa picked some peaches from one tree,
and then she picked 8 peaches from a
different tree.
She gave 10 peaches to Sten.
She has 12 peaches left.
How many peaches did Rosa pick from the
first tree?
Answer:
points
Step-by-step explanation:
x2 is to 441 as x3 is to ___.
Solve for c in x^2 = 441
Taking the square root of both sides x = 21
Now x^3 = 21^3 = 9,261
The answer is 9,261
The solution is x² is to 441 as x³ is to 9261
What is Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
x² = 441
Taking square roots on both sides , we get
x = 21
Therefore , x³ = 21 × 21 × 21
x³ = 9261
Hence , x² is to 441 as x³ is to 9261
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3g-2+7g+8=
What is this
Answer:
10g+6 is the answer
Step-by-step explanation:
find the amount and the compound interest on rupees 10000 for 2 years at 5% per annum compounded annually
Answer:
11025
Step-by-step explanation:
100+5÷100=1.05 squared
10000x1.05squared=11025
Answer:
Amount = 11205
CI = 1205
Step-by-step explanation:
[tex]a = p(1 + \frac{r}{n} ) {}^{nt} [/tex]
Here,
p = 10000
r = 5% = 5/100 = 0.05
n = 1
t = 2
[tex]a = 10000(1 + \frac{0.05}{1} ) {}^{1 \times 2} [/tex]
[tex]a = 10000(1.05) {}^{2} [/tex]
[tex]a = 10000(1.1025)[/tex]
[tex]a = 11205[/tex]
C.I = a - p
C.I = 11205 - 10000
C.I = 1205
3 (1 - x)=2 (-4x + 7)
Solve for X.
Answer:
x = 11/5
Step-by-step explanation:
3-3x = -8x +14
5x = 11
x= 11/5
Solve for n.
n - 26 = -13
n =
Answer:
n= 13
Step-by-step explanation:
.................
Answer:
n=13
Step-by-step explanation:
because 26 is a negative you know that n has to be a positive so you subtract 13 from 26 and that's your answer
The cost y (in dollars) to spend an evening bowling is proportional to the
number of games x that are bowled.
It costs $16 to bowl 4 games.
5. Write an equation that represents the situation.
6. How much does it cost in dollars) to bowl 6 games?
Answer:
y = 4x
Bowl 6 games cost $24
Step-by-step explanation:
Proportional Relationship
We have a situation where the cost y in dollars to spend an evening bowling is proportional to the number of games x bowled.
A proportional relationship is written with the equation:
y = k.x
The value of k will be determined by using the given information: 4 games bowled cost $16, thus:
16 = k.(4) = 4k
Solving:
k = 16 / 4 =4
Thus, the function is:
y = 4x
x=6 games bowled cost:
y = 4*6
y = $24
Bowl 6 games cost $24
what is the answer?
Answer:
Required Answer:-If [tex]\triangle[/tex] ABC is a isosceles triangle thenAB=BCNow Substitute values
[tex]\longrightarrow[/tex][tex]\sf 3x-4=5x-10[/tex]
[tex]\longrightarrow[/tex][tex]\sf 5x-10=3x-4 [/tex]
[tex]\longrightarrow[/tex][tex]\sf 5x-3x=-4+10 [/tex]
[tex]\longrightarrow[/tex][tex]\sf 2x=6 [/tex]
[tex]\longrightarrow[/tex][tex]\sf x={\dfrac {6}{2}}[/tex]
[tex]\longrightarrow[/tex][tex]\sf x=3 [/tex]
[tex]\therefore[/tex][tex]\sf AB=3x-4=3\times 3-4=9-4 \\ \sf AB=5units [/tex]
Step-by-step explanation:
Side AB and Side BC are the same so we can make them equal to each other:
3x -4 = 5x -10
Subtract 3x from both sides.
-4 = 2x -10
Add 10 to both sides.
6 = 2x
Divide both sides by 2
3 = x
x = 3
Now substitute x in the expression
3x -4
3(3) -4
PEMDAS
9 - 4
Subtract
5
HELP ASAP! Given f(x) = ax^2 + c, list each characteristic of the function.
What does a do?
What shifts the graph from going up to going down?
What does x^2 do?
What does c do?
What is the vertex?
9x - 4 = 5x - 4 + 4x
Answer:
X = 1
Step-by-step explanation:
HOPE THIS HELPS
am i answering the same question over and over again?
whatever
PLZ MARK BRAINLIEST