Answer: D) Janelle can type 1/4 of a page in 2/3 of a minute
Step-by-step explanation:
Option A is wrong because based on the constraints, Janine would type less than 3/8 of a page in anything less than a minute. 8 > 3/8.
For that same reason, option B is wrong as well. 2 > 3/8.
1/2 > 3/8 so Option C is wrong for the same reason as the options above.
To test option D;
If Janine can type 3/8 of a page per minute, how much can she type in 2/3 minutes.
Assume the much she can type is x;
3/8 : 1
x : 2/3
1x = 3/8 * 2/3
x = 1/4
Option D is therefore correct.
what are corresponding angles
At Cheng's Bike Rentals, it costs $46 to rent a bike for 9 hours. How many hours of bike use does a customer get per dollar? Answer each part. If necessary, round your answers to the nearest hundredth.
Answer:
0.20 hours
Step-by-step explanation:
Bike rental is $46 for 9 hours.
We want to find hours per dollar, so divide time by cost:
9 hours / 46 dollars = 0.19565217... hours/dollar
Rounded to nearest hundredth:
0.20 hours
Help with all answers
The value of m∠1 is 158° as the two line x and y are parallel.
Two lines are said to be parallel if they do not meet at any point and the perpendicular distance between them is always the same.
A straight line intersecting both the parallel lines is called a transversal.The alternate interior or exterior angles formed are always equal.The corresponding angles are equal.The co-interior angles are supplementary.In the given figure it is given that x║y and m∠2 = 22°.
Now let us use the above principles to solve the value of the other angles.
m∠2+m∠1 = 180°(linear pair)
or, m∠1= 180°-22°
or, m∠1=158°
m∠2+m∠3 = 180°(co-interior angles are supplementary)
or,m∠3=158°
m∠2=m∠4(Corresponding angles are equal)
or, m∠4=22°
m∠2=m∠5 (vertically opposite angles are equal)
or, m∠5=22°
m∠6=m∠1 (vertically opposite angles are equal)
or, m∠6=158°
m∠2=m∠7(alternate angles are equal)
or, m∠7=22°
m∠3=m∠8 (vertically opposite angles are equal)
or, m∠8=158°
Hence all the above angles are calculated using the properties of parallel lines.
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A stack of 9 cups measures 194 mm. Another stack of 22 of the same cups measures 272 mm.
1.) Find the height of one cup.
2.) How tall would a stack of n cups measure?
The result for the stack of cups are shown below;
The height of the one cup is found to be 6 mm,The height formed by the stack of n cups is 6n.What is defined as unitary method?The term unitary refers to a single or unique unit. As a result, the goal of this method is to determine values are related to a single unit.
The Unitary Method is the method in which we first find the value of one unit and then calculate the value of the necessary number of units.For example, if a car travels 44 kilometres on two litres of gasoline, we can employ the unitary method to calculate how far it will travel on one litre of gasoline.Now, as per the given question.
Part 1: The height of one cup;
The stack of 9 cups form the height 194 mm.
Similarly, the height of the 22 of the same cups measures 272 mm.
For the calculation of height of one cup;
Difference in the total height = 272 - 194 = 78.
Difference in the number of cups = 22 - 9 = 13.
Thus, the height of one cup = 78/13 = 6
The height of the one cup is found to be 6 mm.
Part 2: The height of n stack of cups;
The height of one cup is estimated as 6 mm.
There are total n number of cups.
Thus, the height of the n cups will be 6×n mm.
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3/2(8w-6)
can I get the answer in simplest form
Answer: 12w-9
Step-by-step explanation:
of the 35 flavors of ice cream at an ice cream parlor, 25 flavors contain some sort of nuts, 12 are fat-free, and 8 both fat-free and contain nuts. how many of the flavors at the ice cream parlor neither are fat-free nor contain nuts?
The number of ice creams according to the probability, Neither contain nuts nor are fat free is 6.
According to the statement
We have to find that the ice creams that neither are fat-free nor contain nuts.
So, For this purpose, we know that the
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur.
From the given information:
There are 35 flavors of ice cream at an ice cream parlor, 25 flavors contained ice creams.
Contain nuts = 25
Are fat free = 12
Are both = 8
Then
Contain nuts or are fat free = 25+12-8 = 29
Total = 35
Neither contain nuts nor are fat free = 35-29 = 6.
So, The number of ice creams according to the probability, Neither contain nuts nor are fat free is 6.
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What is the measure of x?
I need help ASAPPPPPPPPP
Answer:
C) 3/8 < 1/2 good luck
Step-by-step explanation:
brainliest please
Marisol is making a rectangular wooden frame. She wants the length of the frame to be no more than 12 inches. She has less than 30 inches of wood to use. Which system of inequalities represents the possible length, l, and the possible width, w, that her frame could have?
l ≤ 12
2l + 2w < 30
l > 12
2l + 2w < 30
l ≤ 12
l + w < 30
l > 12
l + w < 30
The system of inequalities represents the possible length, l, and the possible width, w, that her frame could have is l ≤ 12 and 2l + 2w < 30
How to determine the system of inequalities represents the possible length, l, and the possible width, w, that her frame could have?The given parameters are
Length = Not more than 12 inches
Perimeter = Less than 30 inches
"Not more than" means less than or equal to
So, we have
l ≤ 12
The perimeter of a rectangle is
P = 2l + 2w
So, we have
2l + 2w = Less than 30 inches
"Less than" is represented with <
So, we have
2l + 2w < 30
Hence, the system of inequalities represents the possible length, l, and the possible width, w, that her frame could have is l ≤ 12 and 2l + 2w < 30
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Answer:
a. I ≤ 12
2l + 2w < 30
Step-by-step explanation:
i got it right on edge.
What is an undefined term?
Answer : Undefined terms are those terms that don’t require a formal definition. The four terms are point line plane and set
Step-by-step explanation:
Calculate the electric potential energy in a capacitor that stores 1.0 x 10^-10 C
of charge at 100.0 V. Use PE = 1/2QAV.
OA. 1.0 x 10-8 J
OB. 1.0 x 102 J
O C. 5.0 × 10¹ J
OD. 5.0 × 10-9 J
The electric potential energy is 5.0 × 10^(-9) J
How to calculate the electric potential energy?
The formula to calculate the electric potential energy in a capacitor is;
E = 1/2 * C * V²
Where;
E = electric potential energy
C = capacitance = charge
V = voltage applied
We are given;
Voltage applied; V = 100 V
Capacitance (Charge) = 1 × 10⁻¹⁰ C
Plugging in the relevant values gives
E = 1/2 * 1 × 10⁻¹⁰ * 100
E = 1/2 * 1 × 10⁻⁸
E = 0.5 × 0⁻⁸ volts
E = 5.0 × 10^(-9) J
Thus, we conclude that the electric potential energy is 5.0 × 10^(-9) J
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Solve the inequality 34q−23q<512q−112 and write the solution in interval notation.
Answer: [tex]q=\frac{112}{501}[/tex]
Step-by-step explanation:
1) Add similar elements: 11q < 512q - 112
2) Subtract 512q from both sides: 11q - 512q < 512q - 112 - 512q
3) Simplify: -501q < -112
4) Multiply both sides by -1 to reverse the inequality: (-501q)(-1) > (-112)(-1)
5) Simplify: 501q > 112
6) Divide both sides by 501: [tex]\frac{501q}{501} > \frac{112}{501}[/tex]
7) Simplify: [tex]q=\frac{112}{501}[/tex]
Make x the subject of the formula
√a=x−b^2/2c
Answer:
x = [tex]\sqrt{a}[/tex] + [tex]\frac{b^2}{2c}[/tex]
Step-by-step explanation:
[tex]\sqrt{a}[/tex] = x - [tex]\frac{b^2}{2c}[/tex] ( add [tex]\frac{b^2}{2c}[/tex] to both sides )
[tex]\sqrt{a}[/tex] + [tex]\frac{b^2}{2c}[/tex] = x
is james scored a 40 on a test with a mean of 38 and the standard deviation was for whataburger z-score be
The value of z-score for James is 0.2
Step-by-step explanation:
From the formula of z-score we know that
z-score = individual score - mean / standard deviation
Given
James score = 40
Mean = 38
Standard deviation = 10 (missing in question)
To find
z-score =?
Let's put the values in the formula
z-score = 40-38/ 10
z-score = 0.2
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Tallie wants to buy a new iPhone. The iPhone costs
$850. She has saved $325 to put down as an initial
payment and will pay another $75 each month until
the phone is paid off. How many months will it take
for Tallie to pay for her new iPhone?
Answer:
7 months to pay it off.
Step-by-step explanation:
see attached for details.
p and q are both prime numbers with p < q.
They are each less than 18
Give an example where p + q is odd but not prime.
The value of p is 2 and q is either 7 or 13 and their sum is either 9 or 15.
It is given that the value of p and q is a prime number, and p<q.
But it is also given that the value of both should be less than 18 as well as a prime number.
Therefore the value of both should be 2, 3, 5, 7, 11, 13, and 17.
And it is also given that p<q.
Now we have to find the value of p + q which is odd but not a prime number.
To have a sum as an odd number one number should be even and as it is given that p<q, therefore p=2, and q = 3, 5, 7, 11, 13, 17.
So
p + q = 2 + 5 = 7, which is odd but it is prime
Now again, q = 7
p + q = 2 + 7 = 9 , which is odd as well as not prime.
Again take q = 11
p + q = 2 + 11 = 13, which is odd but prime
Now take q = 13
p + q = 2 + 13 = 15, which is odd as well as not prime.
Now take q = 17
p + q = 2 + 17 = 19, which is odd and prime.
Therefore we have p =2 and q = 7 or 13 and sum p + q =9 or 15 which is odd but not prime.
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Subtract (5.3 x 108) − (8.2 x 106).
2.9 x 102
5.218 x 102
2.9 x 108
5.218 x 108
Answer: 5.218*10^8 ==> Option 4
Step-by-step explanation:
(5.3 x 10^8) − (8.2 x 10^6)=
(5.3*10^2 x 10^6) − (8.2 x 10^6)=
(5.3*100*10^6)-(8.2*10^6)=
(530*10^6)-(8.2*10^6)=
(530-8.2)*10^6=
(530.0-8.2)*10^6=
521.8*10^6=5.218*10^8 ==> Option 4
How many boxes of cereal can you buy with $42 if one box costs $5.25? As Equation Review
Answer:
8
Step-by-step explanation:
$ 42 / 5.25 $ / box = x = 8 boxes
What is the slope of the line that passes through the points (10, 8) and (7, 14)?
Write your answer in simplest form.
Answer:
-0.2667
Step-by-step explanation:
m =y2 - y1
x2 - x1
=14 - (10)
-7 - (8)
=14 - 10
-7 - 8
=4
-15
please help me answer this with solution
Answer:
Question 1:
[tex]{ \tt{f(x) = {x}^{2} - 10x + 25}}[/tex]
when f(x) is f(10), we substitute for x as 10; x = 10
[tex]{ \tt{f(10) = {10}^{2} - 10(10) + 25 }} \\ { \tt{f(10) = 100 - 100 + 25}} \\ { \boxed{ \tt{ \: f(10) = 25 \: }}}[/tex]
Question 2:
[tex]{ \tt{f(x) = \frac{2 {x}^{3} - 7 }{10} }} \\ [/tex]
when f(x) is f(-1), we substitute for x as -1; x = -1
[tex]{ \tt{f( - 1) = \frac{2 {( - 1)}^{3} - 7 }{10} }} \\ \\ { \tt{f( - 1) = \frac{ - 2 - 7}{10} }} \\ \\ { \boxed{ \tt{ \: f( - 1) = - \frac{9}{10} \: }}}[/tex]
the limit of f(x) as xa describes what happens to f(x) when x is near, but not equal to, the value a.
If x is near but not equal to, the value an is that f(a) then the function will not continue.
What is the limit?Limit, a nearness in mathematical notion, is largely used to give values to some functions at locations that were usually not given or defined, in a manner consistent with neighboring values.
In another word, limit is a mathematical concept in which we find out the value of any function at a point by its adjacent very close point.
If a function f(x) is defined near to x = a but not a then there will be no continuity of that function at that point.
To exist a limit at x = a
LHL = RHL
But for continuity
LHL = RHL = f(a)
Hence "If x is near but not equal to, the value an is that f(a) then the function will not continue".
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Mrs. Figueroa made a spaghetti dinner for the cheerleaders after practice. She purchased four and three fourths pounds of beef for $3.99 per pound. How much money did she spend on the beef for the spaghetti?
$7.25
$8.87
$9.98
$18.95
Answer:
$18.95
Step-by-step explanation:
If the length of a certain rectangle is increased by 1, then the area of the rectangle is increased by 12. If instead, the width is increased by 2, then the area of the rectangle is increased by 42. What is the area of the original rectangle?
Answer: Let the length and breadth of a rectangle are x and y units , its area is x.y units^2
Step-by-step explanation: sorry no explanation
Amy and Myra each walked from their houses to the mall. Amy walked one
half a mile and Myra walked two-thirds of a mile. How far did the girls walk all
together?
Answer:
C
Step-by-step explanation:
just do 1/2+2/3
Common denominators
3/6+4/6=7/6=1+1/6
C
Amys weight this year is 50 pounds lessthan twice her weight from last year. if she weighs 120 pounds this year, what equation can be used to find her weight from last year?
Answer:
190
Step-by-step explanation:
(120*2) - 10 = 190
hope this helped !!
Given f(x) = 2(3 - x) - 2x, what is the value of f(x) = -10?
The value of x for f(x) = 2 (3-x) -2x at f(x) = -10 is 4.
To find the value of f(x) when f(x) equals -10, we substitute -10 into the equation and solve for x.
Given:
f(x) = 2(3 - x) - 2x, we have:
-10 = 2(3 - x) - 2x
Let's simplify the equation step by step:
-10 = 6 - 2x - 2x
-10 = 6 - 4x
-10 - 6 = -4x
-16 = -4x
To solve for x, divide both sides by -4:
x = (-16) / (-4)
x = 4
Therefore, when f(x) = -10, the value of x is 4.
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Find the surface area of a cylinder with a height of 8 inches and base diameyer of 6 inches i need help badly
The surface area of a cylinder with a height of 8 inches and base diameter of 6 inches is 207.24 square inches
How to find the surface area of a cylinder with a height of 8 inches and base diameter of 6 inches?The given parameters are
Height, h = 8 inches
Diameter, d = 6 inches
The radius is calculated as
r = d/2
So, we have
r = 6/2
r = 3
The surface area of a cylinder is calculated as
S = 2πr(r + h)
So, we have
S = 2 * 3.14 * 3 * (3 + 8)
Evaluate
S = 207.24
Hence, the surface area of a cylinder with a height of 8 inches and base diameter of 6 inches is 207.24 square inches
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researchers are interested in finding out if winning congressional candidates display more positive facial expressions than losing candidates. the researchers attend political debates and record how frequently each candidate displays positive facial expressions. which research method are the researchers using? a. random sample b. case study c. naturalistic observation d. survey
researchers are interested in finding out if winning congressional candidates display more positive facial expressions than losing candidates. c. naturalistic observation
What is naturalistic observation?A study technique called naturalistic observation includes watching participants in their natural settings. Many psychologists and other social scientists employ this strategy. It is an approach to qualitative research that emphasizes gathering, analyzing, and describing non-numerical data.
When performing lab research would be impractical, expensive, or would adversely influence the subject's behavior, it may be helpful. Naturalistic observation is to capture behavior as it happens in its natural environment without intervention or efforts to change any of the factors. In a lab context, people frequently act differently than they would in the wild. Sometimes, researchers wish to watch their subject's behavior "in the wild".
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a cell phone carrier charges a monthly fee of $20 and also charges customers $0.05 per text message. the function c(t) = 0.05t +20 represents the cost, c, per month based on t text messages in a month. which best describes the domain of the function?
The best description of the domain of the function is t >= 0
How to determine which best describes the domain of the function?The equation of the function is given as
C(t) = 0.05t + 20
The above equation is a linear function, and the variable t represent the number of text messages in a month
The number of text messages in a month cannot be negative
This means that
t >= 0
Hence, the best description of the domain of the function is t >= 0
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Given: B is midpoint if AC
C is the midpoint if BD
Prove: AB is congruent to CD
Answer:
See proof below
Step-by-step explanation:
If B is the midpoint of AC, then AB = BC
If C is the midpoint of BD then BC = CD
Using the transitive property of equality, if a = b and b = c then a =c
We apply this to the above line segments and get
If AB = BC and BC = CD then AB=CD
For two line segments to be congruent they must have the same length
So AB is congruent to CD