Answer:
312 in total.
Step-by-step explanation:
if 1 type of cookie is 24 cookies. so 13 types of cookies are 312 cookies.l. because 13×24=312
7.
Peter's credit card payment is $75 per month.
He paid an annual fee of $45 per year.
He also paid $17 in fees the first year and $35 in fees the second year.
What is the total amount Peter paid during the 2 years?
A $997
B. $1,597
C. $1,852
D. $1,942
Answer:
997
Step-by-step explanation:
75×12=900
900+45+35+17=997
Which value of n makes the following equation true?
√n=4
Answer:
n = 16
Step-by-step explanation:
The equation is,
→ √n = 4
Solving for the value of n,
→ √n = 4
→ n = 4²
→ [ n = 16 ]
Hence, the value of n is 16.
Determine which integer will make the inequality 3(n + 1) > 5(n − 3) true.
A: S:{9}
B: S:{0}
C: S:{15}
D: S:{18}
n < 9 makes the inequality 3(n + 1) > 5(n − 3) true.
Hence, option A) S:{ 9 } is the correct answer.
What integer will make the given inequality true?Given the inequality in the question
3(n + 1) > 5(n − 3)
To determine the integer will make the inequality true, we simply solve for n.
3(n + 1) > 5(n − 3)
Remove the parenthesis using distributive property
3×n + 3×1 > 5×n + 5×−3
3n + 3 > 5n - 15
Collect like terms
3n + 3 > 5n - 15
3n - 5n > - 15 - 3
-2n > - 18
Divide both sides by -2.
Note that; when dividing or multiplying both sides of an inequality by a negative value, the inequality sign flips to the opposite direction.
-2n/-2 < -18/-2
n < 9
n < 9 makes the inequality 3(n + 1) > 5(n − 3) true.
Hence, option A) S:{ 9 } is the correct answer.
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Answer:
a) S:{9}
Step-by-step explanation:
Given equation,
→ 3(n + 1) > 5(n - 3)
Now the value of n will be,
→ 3(n + 1) > 5(n - 3)
→ 3n + 3 > 5n - 15
→ 3n - 5n > -15 - 3
→ -2n > -18
→ n < (-18)/(-2)
→ n < 18/2
→ [ n < 9 ]
Hence, the value of n is 9.
Factorize: a+2-15a^2
Answer: -1(5a-2)(3a+1)
Step-by-step explanation:
Answer:
-(5a-2)(3a+1)
Step-by-step explanation:
What kind of sequence is this?
-514, -514, -514, -514, ...
arithmetic. geometric. both. neither.
[tex]\: u_{1} - u_{0}= u_{2} - u_{1} \\ - 514 + 514 = - 514 + 514 \\ 0 = 0 \\ true \: so \: u_{n} \: arithmetic \: \: (d = 0)[/tex]
[tex] \frac{u_{1}}{u_{0}} = \frac{u_{2}}{u_{1}} \\ \frac{ - 514}{ - 514} = \frac{ - 514}{ - 514} \\ 1 = 1 \\ true \: so \: u_{n} \: geometric \: (r =1 )[/tex]
[tex]conclusion = \\ u_{n} \: is \: both \: arithmetic \: and \: geometric[/tex]
Based on the two data sets given below, which of the following statements are true? Select two that apply. Data Set 1: 5, 5, 6, 6, 7, 7 Data Set 2: 1, 3, 5, 7, 9, 11 A. Data Set 2 has a larger mean than Data Set 1. B. Data Set 2 has the same mean as Data Set 1. C. Data Set 2 has a larger standard deviation than Data Set 1. D. Data Set 2 has a smaller standard deviation than Data Set 1.
Answer:
Data Set 2 has the same mean as Data Set 1.
and
Data Set 2 has a larger standard deviation than Data Set 1
Step-by-step explanation:
Mean of both data sets is the same = 6
Data set 2 has a larger standard deviation since the data values are further away from the mean than the data values in data set 1 are from the mean and standard deviation is a measure of variance i.e. how far data set values are from the mean
A 1/5 increase of 400
Answer:
1/5×400=80400+80=480 1/5 increase of 400=4801. Julianne found a job listed in the classified ads that pays a yearly salary of $41K. What is the
weekly salary based on this annual salary?
Julianne's weekly salary based on this annual salary is $788.46
The yearly salary that the job pays Julianne = $41K
No. of weeks in a year = 52 weeks
When referring to a Participant, the term Weekly Salary refers to the weekly rate of pay for services that the Employer had been providing to the Participant at the time of his or her termination from the Employer. According to the Employer's payroll records, the Weekly Salary of a Participant whose rate of pay for services is based on an annual rate shall be equivalent to 1/52 of the yearly such rate at the time of his or her Termination of Employment from the Employer.
Therefore, finding out the weekly salary of Julianne we get:
=Annual salary of Julianne/No. of weeks in a year
= 41000/52 = $788.46
Hence, Julianne's weekly salary based on this annual salary is $788.46
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Does the graph show the relationship is a proportional
relationship? Does the relationship have a constant of
proportionality? Justify your answer using any two points
from the table,
The linear relation is:
y = x + 2
This is not a proportional relationship, as the y-intercept is different than zero, and then, it does not have a constant of proportionality.
What can we conclude about the given relationship?
The relationship clearly shows a linear relation, so we can get the slope if we use the first two points (2, 4) and (4, 6). The slope is:
s = (6 -4)/(4 - 2) = 1
Then the linear relation is of the form:
y = 1*x + b
To find the value of b we replace the values of the first point:
4 = 1*2 + b
4 - 2 =b
2 = b
The linear relation is:
y = x + 2
This is not a proportional relationship, as the y-intercept is different than zero, and then, it does not have a constant of proportionality.
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Answer:
No, because it doesn't go through zero
Step-by-step explanation:
what is the effect on the graph of f(x)=1/x when it is trandformed to g(x)=1/x - 7
When f(x) = 1/x is converted to g(x) = 1/x - 7, the impact that this has on the graph of f(x) is that the graph of f(x) is moved down by seven units.
What is a Graph?The connection that exists between lines and points in a network may be described using a graph, which is a mathematical description of a network.
g(x)=1/x - 7
f(x)= 1/x
There is a negative seven when the change occurs.
As a result, the graph of f(x) is moved 7 units below.
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Mark decided to make Christmas presents for his classmates. He bought 10 lb of two types of candies: caramel candies for $2.80 per pound and chocolate candies for $3.50 per pound.
Write a function f(x) that represents the total cost of the candy, where x is the weight of the less expensive candy.
Total cost of the candy is represented by the function f (x) is;
⇒ f (x) = $2.80x + $3.50y
Where, x is the weight of the less expensive candy (caramel candy)
and, y is the weight of chocolate candies.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Mark bought 10 lb of two types of candies to make Christmas present for his classmates.
Let x is the weight of the less expensive candy (caramel candy).
And, y is the weight of chocolate candies.
Now, The cost of caramel candies = $2.80x
And, The cost of chocolate candies = $3.50y
Hence, Total cost of the candy = $2.80x + $3.50y
Therefore, Total cost of the candy is represented by the function f (x) is;
⇒ f (x) = $2.80x + $3.50y
Where, x is the weight of the less expensive candy (caramel candy)
and, y is the weight of chocolate candies.
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Write an expression that would have a value less than 3/4
Answer: 1/2
Step-by-step explanation:
1/2 is 2/4 which is smaller than 3/4
What is −10 + |−4| − |−12|?
−6
−12
−18
−22
Answer:
c= -18 is your answer
Determine the value of expression one 5(x+2)-7 When X equals 4 justify how you found your answer
5(x+2)-7
5(4+2)-7
20+10-7
30-7
23
What is the probability of X=4?
Image above.
Answer:
0.30
Step-by-step explanation:
sum of all probabilities is 1
so:
p(x=4) = 1 - ( 0.01 + 0.04 + 0.10 + 0.12 + 0.30 + 0.11 + 0.01 +0.01)
= 1 - 0.70
= 0.30
A school event requires at least 2 parents for every 5 kids. How many parents for 60 kids?
Answer: 24
Step-by-step explanation:
60/5= 12
12(kids) times 2(parents)= 24 parents for 60 kids
The sum of three consecutive integers is 171. What are the integers?
Answer:
56, 57, 58Step-by-step explanation:
The sum of three consecutive integers is 171. What are the integers?
(171 - 3) : 3 =
168 : 3 = 56
56 + 1 = 57
57 + 1 = 58
-------------------
56 + 57 + 58 = 171
the answer is good
Can you assist me with this question ?
Answer:C.)8+28-10-35
What is the cost of lighting a 500-watt outdoor light for 8 hours, if electricity costs 7.5¢ per kilowatt-hour?
Select one:
A.
30 cents
B.
45 cents
C.
60 cents
D.
67 cents
The cost of lighting a 500-watt outdoor light for 8 hours according to the task content is; 30 cents.
What is the cost of lighting a 500-watt outdoor for 8 hours?According to the task content, the energy consumption for lighting the 500-watt outdoor light for 8 hours is; 500 × 8 = 4000 watt-hour = 4 kilowatt-hour.
On this note, since electricity costs 7.5¢ per kilowatt-hour, the cost of 4 kilowatt-hour is; 7.5¢ × 4 = 30 cents.
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What does it mean to determine the two positive integers that each value is between??? I'm confused
Answer:
11. {7, 8}
12. {8, 9}
13. {8, 9}
14. {4, 5}
Step-by-step explanation:
You want consecutive integers that bracket each of the given irrational roots.
Square rootsA square root of an integer will be rational only if the integer is a perfect square. The first few perfect squares are ...
1² = 12² = 43² = 94² = 165² = 256² = 367² = 498² = 649² = 81You know these because you know your multiplication tables.
The square root of a number between these perfect squares will lie between the roots of the squares.
11. √5050 lies between the squares 49 = 7² and 64 = 8². That means √50 lies between 7 and 8.
Your calculator tells you that √50 ≈ 7.0710678, which is a number that lies between the integers 7 and 8.
12. √7272 lies between the squares 64 = 8² and 81 = 9². That means √72 lies between 8 and 9.
13. √6565 lies between the squares 64 = 8² and 91 = 9². That means √65 lies between 8 and 9.
14. √2323 lies between the squares 16 = 4² and 25 = 5². That means √23 lies between 4 and 5.
__
Additional comment
The purpose of questions like this appears to be to have you make use of your knowledge of integer perfect squares to guess an approximation of a square root.
A calculator can answer these questions immediately. Of course the two consecutive integers are the integer part of the root, and the next higher integer.
The question is not well-posed. The answer to "integers each value is between" could be 1 < √50 < 50. For integers greater than 1, the square root is always smaller than the integer being rooted. We've seen questions like this enough times that we can guess the intention is for you to identify consecutive integers.
Extra credit
Knowing the integer part of the root and the difference between the number and its next lower perfect square, you can approximate the root as follows:
For integer n = a² +b, the root √n lies between a +b/(2a+1) and a +b/(2a).
For example, 65 = 8²+1, so √65 lies between 8 1/17 and 8 1/16.
An elephant can drink up to 6,400 fluid
ounces of water a day. How many gallons of
water can an elephant drink per day?
Answer: They require 18 to 26 gal of water. But they may also consume 40 gal
Step-by-step explanation:
What is the midpoint of the line segment?
Drag the coordinates to the boxes to correctly match the endpoints and midpoint
Using the midpoint formula, the midpoints of the following are:
(4, √2) and (-2, 5√2) --> M(1, 3√2)
(-⅔, ⅘) and (⅓, ½) --> (-1/6, 13/20)
What is the Midpoint Formula?The formula that is used to determine the coordinates of the midpoint of a line segment is called the midpoint formula, and it is expressed as:
M(x, y) = [(x1 + x2)/2, (y1 + y2)/2]
Find the midpoint between (4, √2) and (-2, 5√2):
Let,
(4, √2) = (x1, y1)
(-2, 5√2) = (x2, y2)
Plug in the values
M(x, y) = [(-2 + 4)/2, (5√2 + √2)/2]
M(x, y) = [2/2, (6√2)/2]
M(x, y) = (1, 3√2)
M(1, 3√2)
Find the midpoint between (-⅔, ⅘) and (⅓, ½):
Let:
(-⅔, ⅘) = (x1, y1)
(⅓, ½) = (x2, y2)
Plug in the values
M(x, y) = [(-⅔ + ⅓)/2, (⅘ + ½)/2]
M(x, y) = [(-⅓)/2, (13/10)/2]
M(x, y) = [(-⅓ × ½), (13/10 × ½)]
M(x, y) = (-1/6, 13/20)
In summary, using the midpoint formula, the midpoints of the following are:
(4, √2) and (-2, 5√2) --> M(1, 3√2)
(-⅔, ⅘) and (⅓, ½) --> (-1/6, 13/20)
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What is the interval notation for
{x: −4 ≤ x < 9}?
Answer:
Step-by-step explanation:
(x-4,9)
I need help with 4 and 5
4. The two triangles are similar by virtue of the AAA triangle congruence theorem as a result of the corresponding angles which have equal measures.
5. The length of segment CE to the nearest tenth is; 46.7 in.
What is the length of segment CE as required in the task content?4. The ∆CBD and ∆CAE are similar (congruent) following the fact that angle C is common to both triangles and the angles A and E have equal measures as E and D respectively by virtue of corresponding angles theorem. Ultimately, the two triangles; ∆CBD and ∆CAE are congruent since all three angle measures are the same in the triangles.
The corresponding angles in discuss is due to the fact that the lines ED and AE are parallel lines.
5. Also, upon establishing the congruence of the two triangles, it follows that the ratio of their corresponding sides is same for all three sides.
Therefore, we can establish that;
BD/AE = CD/CE
6/14 = 20/CE
CE = (14 × 20)/6
CE = 140/3
CE = 46.667 in.
Ultimately, the length of segment CE to the nearest tenth is; 46.7 in.
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Aneesha travels at a rate of 50 miles per hour. Morris is traveling 3 feet per second less than Aneesha. Which is the most accurate rate of speed Morris is traveling?
answer:48 miles per hour
which statements are true
The tree in Carlos's backyard is 8.7 m high. How high is it in centimeters?
Be sure to include the correct unit in your answer.
Answer:
8.7m to centimeters means tou move the decimal to the right twice making it 8700cm
Is x=0 if x is greater than negative infinity but lesser than infinity?
Rewrite x4y2 − 3x3y3 using a common factor.
3xy(x3y − x2y)
3xy2(x2 − x2y)
x2y(xy − 3xy2)
x2y2(x2 − 3xy)
The equivalent expression of x^4y^2 − 3x^3y^3 when rewritten using common factors is x^3y^2(x − 3y)
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to rewrite the expression using a common factor?The expression is given as
x4y2 − 3x3y3
Rewrite the above expression properly
So, we have
x^4y^2 − 3x^3y^3
Factor out x^3 from the expression
So, we have
x^4y^2 − 3x^3y^3 = x^3(xy^2 − 3y^3 )
Factor out y^2 from the expression
So, we have
x^4y^2 − 3x^3y^3 = x^3y^2(x − 3y)
Hence, the equivalent expression of x^4y^2 − 3x^3y^3 when rewritten using common factors is x^3y^2(x − 3y)
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A calculator displays 8.717E8. How do you write 8.717E8 in scientific notation?
Answer: 8.717 x 10^8
Step-by-step explanation:
Answer: 8.717 × 10^{8}
Step-by-step explanation:
hope this helps <3