A book contains an average of 300 words per page.if you read one page in 68 seconds,what is your reading rate in words per minute
After doing some mathematical operations, we can conclude that the reading rate in words per minute is 260.71 words per minute.
What exactly do we mean by mathematical operations?A mathematical function known as an operation converts zero or more input values into a precisely defined output value.The quantity of operands affects the operation's arity.The arithmetic operators perform the operations of addition, subtraction, multiplication, division, exponentiation, and modulus.So, the reading rate per minute:
A book's pages typically contain 300 words.you spent 68 seconds reading one page.Reading rate per second = 300/68 words.Then reading rate per minute will be:
300/68 × 60 260.705882Rounding off: 260.71 words per minuteTherefore, after doing some mathematical operations, we can conclude that the reading rate in words per minute is 260.71 words per minute.
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Determine which integers in the set S: {−2, −3, −4, −5} will make the inequality 3p − 10 ≥ 7p + 6 true.
The integers in the solution set of 3p − 10 ≥ 7p + 6 are -4 and -5
What are inequality expressions?Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal
How to determine the integers in the set?The set is given as
S: {−2, −3, −4, −5}
The inequality expression is given as
3p − 10 ≥ 7p + 6
We start by evaluating the inequality expression
So, we have
3p − 10 ≥ 7p + 6
Subtract 7p from both sides of the inequality expression
So, we have
-4p − 10 ≥ 6
Add 10 to both sides of the inequality expression
So, we have
-4p ≥ 16
Divide both sides of the inequality expression hy -4
So, we have
p ≤ -4
This means that the integers in the solution set are integers that do not exceed -4
These integers are -4 and -5
Hence, the solution is -4 and -5
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pls solve I've attempted it loads of times and got the wrong answer
The cylinder below has a radius of 3cm and length if 14cm
work out the volume of the cylinder give your answer to the nearest integer
Answer:
396 cm³
Step-by-step explanation:
Volume= πr²*height
r=3
3² π *14
9*14*π= 396cm³
volume of a cylinder with radius as 3cm and height as 14cm is 396cm^3
A sales associate in a jewelry store earns $450 each week, plus a commission equal to 6% of her sales. this week her goal is to earn at least $600. how much must the associate sell in order to reach her goal
Answer: $2500
Step-by-step explanation:
Let the amount she sells in dollars be x. Then,
[tex]450+0.06x \geq 600\\\\0.06x \geq 150\\\\x \geq 2500[/tex]
ATTENDING TO PRECISION Use the graph to write a function of the form y = a tan bx.
Y=?
Answer:.
Step-by-step explanation:
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
A fashion photographer needs to hire a stylist to prepare his models. Jayla charges $156 for showing up, plus $63 per hour. Sally charges $158 plus $62 per hour. The photographer realizes that, given the expected duration of his photo shoot, either stylist would cost him the same amount. What would the cost be? What would the duration be?
Either stylist would cost $ if the shoot lasted. hours
The duration of shoot would be 2 hours and Either stylist would cost $282 if the shoot lasted 2 hours.
A fashion photographer needs to hire a stylist to prepare his models.
Let the number of hours stylist take = x
Jayla charges $156 for showing up, plus $63 per hour. So, this can be mathematically written as ,
156 + 63x equation 1
Sally charges $158 plus $62 per hour. So, this can be mathematically written as ,
158 + 62x equation 2
As per the question, the expected duration of his photo shoot, either stylist would cost him the same amount. So we can equate equation 1 and equation 2. On equating equation 1 and equation 2 , we will get
156 + 63x = 158 + 62x
⇒ x = 2
So, the duration would be 2 hours.
Jayla cost = Sally cost = 156 + 63x = 156 + (63 × 2) = 282
Either stylist would cost $282 if the shoot lasted 2 hours.
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Which expression represents the perimeter
of this quadrilateral in units?
4r² - 1
²+3
2
5r²+2
A. 9² +8
B. 117² - 8
C.
11² + 8
D. 9r² + 2r-8
²+4
Answer: 11r² + 8 ==> C
Step-by-step explanation:
P=Sum of all sides
P=4r² - 1 + r² + 3 + r² + 4 + 5r² + 2
P=4r² + r² + r² + 5r² - 1 + 3 + 4 + 2
P=5r² + 6r² + 2 + 6
P=11r² + 8 ==> C
I need some help with my math homework.
Answer/Step-by-step explanation:
It's a little blurry so I'll try my best
1. -4 + 5 = 1
2. -31 - 25 = -56
3. 7 + (-10) = -3
4. -13 + (-9) = -22
5. 10 - 17 = -7
6. 15 + 35 = 50
7. -9 + 6 = -3
8. -11 - (-15) = 4
9. 7 - (-5) = 12
10. 3 + (-19) = -16
11. -15 + 20 = 5
12. 11 + (-11) = 0
13. 16 - 21 = -5
14. -23 - 11 = - 34
15. -12 + (-13) = -25
16. -12 + 28 = 16
17. 52 - (-10) = 62
18. 4 - 35 = 31
HIS HAMSTER TOOK IT TO HIS CAGE AND DID JORGE'S HOMEWORK
I hope this helps!
Just need the bottom one answered
7th grade easy Math
NEED ANSWER ASAP DUE TODAY
If x is an integer, what is the minimum value of x that satisfies the inequality below?
6x−3(2x−1)>7−4(x+2)
Answer:
0
Step-by-step explanation:
6x-6x+3>>7-4x-8
3>-4x-1
4x>-1-3
4x>-4
x>-1
therefore minimum value is 0
John has two types of boxes. The smaller box can store 8 tins of coffee and the bigger box can store 12 tins of coffee. If the total number of boxes is 20 and he has 184 tins of coffee, by forming a pair of simultaneous equations, find the number of each kind of box.
He will need 14 boxes which can store can store 8 tins of coffee and 6 boxes that can store 12 tins of coffee.
let us assume:
Number of 8- tin boxes= x
Number of 12- tin boxes= y
we are given the condition that total number of boxes are 20, so-
x+y=20
⇒ x= 20-y
We are also given the condition that he has 184 tins of coffee, so-
8x+12y= 184
⇒ 8(20-y) + 12y = 184
⇒ 160 -8y +12y = 184
⇒ 4y= 24
⇒ y=6
⇒ x=20 -y
⇒ x= 20 - 6
⇒ x= 14
What do you mean by conditional linear equations?
A linear equation is an identity if solving it results in a true assertion, such as 0 = 0. The answer set is "all real numbers." An equation is conditional if there is only one solution to a linear equation, such as x = 3.
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4(2f-2) = 8(f+6) solve for f
Answer:
no solution
Step-by-step explanation:
4(2f-2) = 8(f+6)8f-8 = 8f+488f-8f = 48+80 = 48+80 = 56no solutionPlease help due soon, thank you
The number of drama members who are seventh graders is 14.
This is a question of percentages.
Percentage
A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.
Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.
Given that:-
Total number of members in the drama club = 40
Percentage of members in the drama club of seventh grade = 35 %
We have to find the number of drama members who are seventh graders.
Number of drama members who are seventh graders = (35/100)*40 = 14
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the sumof four consecutive even integers is 180what is the least integer
The least integer of the four consecutive even integers is 42
Determining integerFrom the question, we are to determine the least integer.
Let the least integer be x
From the given information,
"the sum of four consecutive even integers is 180"
Then,
We can write that
x + (x + 2) + (x + 4) + (x + 6) = 180
x + x + 2 + x + 4 + x + 6 = 180
4x + 12 = 180
4x = 180 - 12
4x = 168
x = 168/4
x = 42
Hence, the least integer is 42
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Which properties of eqWhich properties of equality are used in the example shown on the left?
Check all of the boxes that apply.uality are used in the example shown on the left?
Check all of the boxes that apply.
The properties of equality used in the equation are subtraction properties and multiplication properties of equality
How to determine the properties of equality applied in solving the equation?The complete question is added at the end of the solution
From the complete question, the equation is given as:
(1/3d + 4 = 28)
Start by removing the bracket in the given equation
So, we have
1/3d + 4 = 28
Next, we continue by applying the subtraction properties of equality
This means that we subtract 4 from both sides of the equation.
So, we have:
1/3d + 4 - 4= 28 - 4
Evaluate the difference in the above equation
So, we have
1/3d = 24
Next, we continue by applying the product properties of equality
This means that we multiply both sides of the equation by 3
So, we have:
3 * 1/3d = 24 * 3
Evaluate the products in the above equation
So, we have
d = 72
By looking at the computations above, we can see that we apply the following properties:
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Possible question
Which properties of equality are used in the example shown on the left?
(1/3d + 4 = 28)
solve the equation 12x+6y=24 for x
Answer: x = 2 - 1/2 y
Step-by-step explanation:
12x + 6y = 24
12x = 24 - 6y
x = 2 - 1/2 y
Which of the following proves these triangles are congruent?
A - Neither
B - SAA
C - ASA
The statement that proves the congruency of the two triangles is (c) ASA
The given parameter is the two triangles in the figure
For the angles or the sides of the triangles to be congruent, the sides or the angles must be marked with the same identifier
Using the above as a guide,
Two corresponding angles in the triangles are marked with the same symbol
This is represented as AA i.e. Angle-Angle
Also, the triangles share a common side length
This is represented with S i.e. Side
This common side length is between the angles
So, we have
ASA i.e. Angle Side Angle
Hence, the congruency of the two triangles is by the ASA congruent theorem
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Please help have been stuck on this for a couple days now, falling behind.
The 2012 Jeep Liberty Limited Sport 2WD has one of the largest depreciation values
of any car. Suppose a 2012 Jeep Liberty Limited Sport 2WD sold for $26,000.00 in
2012 and its value depreciates by $3,700.00 per year. Assume the depreciation is
linear.
a) Let y be the value of the 2012 Jeep Liberty Limited Sport 2WD and t be the number
of years since 2012. Find the equation that represents the price of the car.
b) How much is the car worth in 3 years?
c) How much is the car worth in 4 years?
d) In what year will the value of the car reach $0.00? Round up to the nearest whole
year.
(Picture below)
Check the picture below.
so now, in what year will it reach a value of 0.00 or namely, what is "t" when y = 0?
[tex]y = 26000- 3700t\implies \stackrel{y}{0}= 26000- 3700t\implies 3700t=26000 \\\\\\ t=\cfrac{26000}{3700}\implies\stackrel{\textit{about 7 years and 10 days}}{ t\approx 7.027}\hspace{5em}t\approx 7[/tex]
If f(x)= x³ - 5x² - 22x - 16 and x + 2 is a factor of f(x), then find all of the
zeros of f(x) algebraically.
Answer:
x = -2, -1, 8Step-by-step explanation:
You want the zeros of f(x) = x³ -5x² -22x -16, given that a factor is x+2.
FactorsUsing synthetic division (see attachment), we find the quadratic factor to be (x² -7x -8), so we have ...
f(x) = (x +2)(x² -7x -8)
The quadratic can be factored using our knowledge of the divisors of -8 to give ...
f(x) = (x +2)(x +1)(x -8)
ZerosThe zeros of f(x) are the values of x that make these factors zero:
x = -2, -1, 8 . . . . . zeros of f(x)
__
Additional comment
We know the product of binomial factors is ...
(x -a)(x +b) = x² -(a-b)x -ab
This means we can factor the quadratic by looking for factors of 8 that have a difference of 7. We know that 8 = 8·1 and that 8-1=7, so the values of 'a' and 'b' we're looking for are a=8, b=1.
The "zero product rule" tells you a product is zero only if one of the factors is zero. That is how we know to look for the zeros of the binomial factors of f(x). For example, x+2=0 ⇒ x=-2 is a zero of f(x). (The remainder of 0 in the synthetic division also tells us f(-2)=0.)
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[tex]5sin^2x-3sinx=0[/tex]
solve in degrees
solve in the interval 0°[tex]\leq[/tex]x[tex]\leq[/tex]360°
[tex]5sin^2(x)-3sin(x)=0\implies sin(x)[5sin(x)-3]=0 \\\\[-0.35em] ~\dotfill\\\\ sin(x)=0\implies x=sin^{-1}(0)\implies x= \begin{cases} 0\\ 180^o\\ 360^o \end{cases} \\\\[-0.35em] ~\dotfill\\\\ 5sin(x)-3=0\implies 5sin(x)=3\implies sin(x)=\cfrac{3}{5} \\\\\\ x=sin^{-1}\left( \cfrac{3}{5} \right)\implies x\approx \begin{cases} \stackrel{I~Quadrant}{36.87^o}\\\\ \stackrel{II~Quadrant}{143.13^o} \end{cases}[/tex]
The cost of a soft drink from the vending machine was $0.90 last year, but it
is $1 this year. what is the percent increase?
Answer:
I need alot of letter in order tot ype an anwser but long story sort its ten percent
How do I find what r should equal?
Answer: r = √(v/πh)
Step-by-step explanation:
v = πr^2h
v/(πh) = r^2
√(v/πh) = r
Write 4.09 in words. A four and nine tenths B four and nine hundredths C four point zero nine D four hundred nine hundredths
The given value 4.09 in digits can be written in words as four and nine hundredths.
What is word system?The system of written number digits in words can be described as the system that enable the numbers to be breakdown in words for simplicity.
This can starts from the lowest which is the units as well as the tens , and also hundreds and thousands, however from the given value 4.09 we can see that if we convert to the word system of naming numbers we can come into conclusion that it is four hundred nine hundredths.
Therefore, option B is correct.
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Answer:
D
Step-by-step explanation:
you take a break from doing your physics homework and go to the grocery store to buy pasta. the store is out of your favorite kind of pasta so, instead, you buy pasta that is the same shape as your usual pasta but is twice as big in every dimension (twice as long, twice as wide, etc.). one box of the bigger pasta pieces has the same net weight as one box of your usual pasta.
In linear equation, oil required to cover oil all the pieces in one box of big pasta with same thin layer of oil = 1/2 of the oil.
What are a definition and an example of a linear equation?
A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.Let the dimensions of one piece of your favorite kind of pasta be l, b, h.
Volume of one piece of pasta = l b h
Surface area of one piece of pasta = 2( lb + bh + lh)
Let the no of pasta piece in the box ( favorite one ) be 'n' = .
Total volume = n × lbh
Total Surface area = n . 2( lb + bh + lh)
In the bigger size pasta box dimensions of one piece of of pasta 2l , 2h , 2b .
∴ Volume of one piece of pasta = 2l × 2b × 2h = 8lbh
Surface area of one piece of pasta = 2( 4lb × 4bh × 4lh)
= 2 × 4 ( lb × bh × lh )
Let the no of pasta pieces in the bigger pasta box in m.
Total volume of pasta = m × 8lbh
total surface area = m . 4 × 2 ( lb × bh × lh )
the total volume of pasta is also same in the box.
mass = density × volume
D × m .8 lbh = D × n . lbh
m = n/8
total surface area of pastas in bigger pasta box = m × 4 × 2 ( lb × bh × lh)
= n/8 × 4 × 2 ( lb × bh × lh )
= n/8 × 1/2 × n× 2 ( lb × bh × lh )
= 1/2 × surface area (total) of small pasta
∴ oil required to cover oil all the pieces in one box of big pasta with same thin layer of oil = 1/2 of the oil
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I need help with this geometry equation
The area of the composite figure is 58. 71 square units.
How to determine the areaIt is important to note that the area of the composite figure is given as;
Area of a rectangle + area of a semi circle
The formula for area of a rectangle is expressed as;
Area = lw
Where;
l is the length of the rectanglew is the width of the rectangleNow, let's substitute the values, we have;
Area = 6 × 9
Area = 54 square units
The formula for area of a semicircle is expressed as;
Area = πr²/2
Where;
pi = 3. 14r is the radius of the semi circleGiven diameter = 6, radius = 6/2 = 3
Substitute the value
Area = 3. 14(3)/2
Area = 4. 71 square units
But area of the composite figure = 54 + 4. 71 = 58. 71 square units.
Hence, the area is 58. 71 square units.
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Help answering these please!!
Answer:
I will give you the formula and than it will be easy for you to solve this.
PLSS HELP!!! When three times a number n is increased by 12, the result is at least 32. Solve, and then write your answer in set, interval, and graphical notation, if possible.
In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.
Which definition of inequality is the best?The meaning of inequality
A social discrepancy is one example of a characteristic that is unequal or uneven. b: unequal opportunity or distribution.
A disparity in size, quantity, quality, social standing, or another aspect is what is meant by the term "inequality." When you have ten of something and someone else has none, that is an instance of inequality.
A number = n 12
multiplied by a number = n+12
which is 32 less than the number = 3n-32
n+12 =3n-32
44 =2
The result is equal to 2n n=22.
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please help me solve this
Answer:
400
Step-by-step explanation:
A piece of foam padding has a volume of 1,500 cm³ and a mass of 200 g.
What is the density of the foam?
The density of the piece of form will be 0.14 g/cm³.
What is density?Density is defined as the ratio of the mass of the object to the volume of the object. It does not depend upon the whole mass it only depends upon the mass per unit volume.
Volume is defined as the space occupied by the object in the three-dimensional space.
Given that a piece of foam padding has a volume of 1,500 cm³ and a mass of 200 g.
The density of the foam will be calculated as,
D = mass / Volume
D = 200 / 1500
D = 0.1333333333 or 0.14 g/cm³
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Complete each ordered pair so,that it is a solution of the given linear equation.
X-3y=-6;(,-3),(-9,)
Answer:
(-15,-3) and (-9,-1)
Step-by-step explanation:
the x and y coordinates were given so we can plug them into the equation individually
first one y=-3
x-3(-3)=-6
x+9=-6
x=-15
second one
x=-9
-9-3y=-6
+9 +9
-3y=3
y=-1