Answer: \(10.5s + 21.95 \le 65\)
Explanation:
The 10.5s represents the cost of buying all the shirts only. Each shirt costs $10.50 so buying s of them (s is some positive whole number) costs 10.50s which is the same as 10.5s
Then we tack on the price of the shoes to get \(10.5s+21.95\) to be the total amount Robbie spends, which is in dollars. This amount must be 65 or smaller which leads to the final answer shown above.
Answer:
10.5s+21.95≤65
Step-by-step explanation:I took the test
CAN SOMEONE HELP PLS, THE PICTURE IS ALREADY ATTACHED JUST GIVE ME THE ANSWER AND EXPLAIN!!
Answer:
he walks 4.5 feet every second
Step-by-step explanation:
Doug takes 8 minutes to drive his car down the hill to his meeting and 16 minutes to drive up the hill from his meeting. He attends his meeting Monday through Friday. How many minutes does he spend driving his car to and from his meeting in two weeks? Write an equation to model your work
Answer:
336
Step-by-step explanation:
Answer:
336 minutes a week
Step-by-step explanation:
8+16=24
24x14=336
PART B
The Coastal Prairie trail is 2.42 times as long as
the Eco Pond and Rowdy Bend trails combined.
What is the length of the Coastal Prairie trail?
The length of the Coastal Prairie trail is given by the expression 2. 42( b + c)
How to determine the lengthFrom the information given, we have that;
The Coastal Prairie trail is 2. 42 times as long as the Eco Pond and Rowdy Bend.
Let;
The Coastal Prairie trail be aThe Eco Pond be bThe Rowdy Bend be cThis can be expressed as;
a = 2. 42( b + c)
Thus, the length of the Coastal Prairie trail is given by the expression 2. 42( b + c)
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Solve the inequality 5x + 2<27 x
Answer:
5
The answer is 5
The answer is 5
The mapping diagram represents a relation where x represents the independent variable and y represents the dependent variable. A mapping diagram with one circle labeled x values containing values negative 3, negative 1, 1, 3, and 5 and another circle labeled y values containing values 0, 2, and 5 and arrows from negative 3 to 0, negative 1 to 2, 1 to 0, 3 to 2, and 5 to 5. Is the relation a function? Explain. No, because for each input there is not exactly one output No, because for each output there is not exactly one input Yes, because for each input there is exactly one output Yes, because for each output there is exactly one input
Yes, because for each input there is exactly one output. Therefore, the relation represented by the mapping diagram is a function.
To determine if the relation represented by the given mapping diagram is a function, we need to check if each input (x value) has exactly one output (y value) associated with it.
From the given mapping diagram, we can see that:
The input value -3 is associated with the output value 0.
The input value -1 is associated with the output value 2.
The input value 1 is associated with the output value 0.
The input value 3 is associated with the output value 2.
The input value 5 is associated with the output value 5.
As we can see, each input value has exactly one output value associated with it. Therefore, the relation represented by the mapping diagram is a function.
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Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?
Chay can use 3 bags of mulch per flower bed.
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.
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Find the output, y, when the input, x, is -9.
y =
Answer:
when x=-9, y=1
Step-by-step explanation:
the graph shows when the x is at -9, the y is at 1
Dakota worked 55 hours over the last two weeks and his paycheck was $572.00. how much does he earn per hour
Answer:
572/55 = $10.4
or
(572 * 2)/ 55 = $20.8
Step-by-step explanation:
You divide the amount earned over the number of hours worked.
Or
if the paycheck is given monthly, the second option fits. Because $572 is half what they earned that month.
Subtract 4 from 1/6 of 42 5th grade
Answer:
3
Step-by-step explanation:
subtract 4 from 1/6 of 42. In middle school my traxhers always told me that of menas multiply, and in this situation it still holds. 1/6 x 42 is 42/6 or 42 divided by 6 which is 7. So now that makes this simpler, its saying subtract 4 from 7, so 7-4 =3
Party trades which cost $14 to make not including labor or so for $35 it’s two people work eight hour shifts making the trays 7 per hour how many trays must be so to cover all costs including labor
Answer:
7 trays which is 7 hours
Step-by-step explanation:
Find and Simplify the difference quotient for:\(f(x)=3x^{2} +x\)
The graph of the function rule that models the volume of the sphere has symmetry with respect to ____?
The correct option D: the origin, has the symmetry of the volume of sphere for the graph of the function rule.
Explain the term symmetry along origin?About the Origin: Symmetry. If a point appears on a graph at every time, then the graph is symmetric having respect to the origin. When seen in relation to the origin, this graph is symmetric.A function having a single term which is the sum of a real number, the coefficient, as well as a variable raised to something like a fixed real number is called a power function. (A coefficient is a number which multiplies a variable by an exponent.) Think of equations like area or volume as an illustration.For the stated question.
The volume of the sphere is modeled by the power function with respect to the radius as;
V = f(r) = 4/3πr³
As, r is independent of any of the coordinate axis.
Thus, the function rule's graph, which describes the volume of the sphere, is symmetric with regard to the origin.
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A scientist has discovered an organism that produces five offspring exactly one hour after its own birth, and then goes on to live for one week without producing any additional offspring. Each replicated organism also replicates at the same rate. At hour one, there is one organism. At hour two, there are five more organisms. How many total organisms are there at hour seven?
2,801
19,531
19,607
97,655
Answer:
b
Step-by-step explanation:
edge
Answer:
B
Step-by-step explanation:
Julieta was offered a job that paid a salary of $49,000 in its first year. The
salary was set to increase by 3% per year every year. If Julieta worked at the
job for 21 years, what was the total amount of money earned over the 21
years, to the nearest whole number?
Answer:
he will get a total of 41%
Julieta has a job for $49000 which increases at the rate of 3% per year, so the money earned after 21 years is $79870.
What is Simple interest?A quick and simple way to figure out interest on that money is to use the simple interest approach, which adds interest at the same rate for each daily cycle, and it is to the initial principal amount.
A way to figure out how much interest will be charged on an amount of money at a specific rate and for a specific duration of time is by using simple interest.
As per the information received from the question,
Principle amount, P = $49000
Rate, R = 3%
Time, T = 21 years.
SI = ($49000 × 3 × 21)/100
SI = 30870
So, the total amount earned in 21 years is $30870, and the total money he is having after 21 years is $79870.
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The Venn diagram below shows information about the number of items in sets T and V.
An item is chosen at random.
Given that P(TIV) = j
The value of x from the venn diagram if P(T | V) = 1/5 is 16
How to determine the value of x
From the question, we have the following parameters that can be used in our computation:
The venn diagram
From the venn diagram, we have the following probability values
P(T | V) = (x - 4)/(3x + x - 4)
Evaluate the like terms
So, we have
P(T | V) = (x - 4)/(4x - 4)
From the question, we have
P(T | V) = 1/5
This means that
(x - 4)/(4x - 4) = 1/5
When evaluated, we have
x = 16
Hence, the value of x is 16
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45 POINTS! Three balls are packaged in a cylindrical container. The balls just touch the
top, bottom, and sides of the cylinder. The diameter of each ball is 13 cm.
a. What is the volume of the cylinder rounded to the nearest cubed centimeter
b. What is the total volume of the three balls rounded to the nearest cubed centimeter?
c. What percent of the volume of the container is occupied by the three balls?
Answer:
a) 5177 cubic centimeters
b) 3451 cubic centimeters
c) 66.66% (67%)
Step-by-step explanation:
a) V=pi*r2*h
V=pi*6.5^2*39
V=5176.5593
b) V=4/3*pi*r^3
V=4/3*pi*6.5^3
V=1150.34651
remember we have to multiply by 3 since there are 3 balls:
V=3451.03953
c) 3451/5177=0.66660*100=66.66%
Can you solve this for me I’m stuck?
to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below.
\((\stackrel{x_1}{65}~,~\stackrel{y_1}{149})\qquad (\stackrel{x_2}{105}~,~\stackrel{y_2}{221}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{221}-\stackrel{y1}{149}}}{\underset{\textit{\large run}} {\underset{x_2}{105}-\underset{x_1}{65}}} \implies \cfrac{ 72 }{ 40 } \implies \cfrac{ 9 }{ 5 }\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{149}=\stackrel{m}{ \cfrac{ 9 }{ 5 }}(x-\stackrel{x_1}{65})\implies y-149=\cfrac{ 9 }{ 5 }x-117 \\\\\\ y=\cfrac{ 9 }{ 5 }x-117+149\implies \boxed{y=\cfrac{ 9 }{ 5 }x+32} \\\\\\ \stackrel{\textit{Celsius is 70, so x = 70}}{y=\cfrac{ 9 }{ 5 }(70)+32}\implies \boxed{y = 158}\)
The two sets of lines are parallel. If the measure of angle A is 110°, what is the measure of angle B?
Answer:
Sum of 2 interior angles =180
1 angle+70=180
Another angle=110
Step-by-step explanation:
jamie has taken three math tests. her scores were 85, 90, and 89. to get an average of 90 what must be the sum of all her tests ? what score does she need on the fourth test so that her mean score is 90 ?
Answer:
96 marks
Step-by-step explanation:
We know that the mean of a given amount of values is the sum of the values divided by the number of values
Let the marks in the fourth test = x marks
Mean of the values = 90
(85 + 90 + 89 + x) / 4 = 90
264 + x = 360
x = 96
Therefore, Jamie needs 96 marks in her 4th test to get a mean score of 90
i need help----------
Students in a statistics class are conducting a survey to estimate the mean number of units students at their college are enrolled in. The students collect a random sample of 47 students. The mean of the sample is 12.3 units. The sample has a standard deviation of 1.9 units. What is the 95% confidence interval for the average number of units that students in their college are enrolled in
Answer:
The 95% confidence interval for the average number of units that students in their college are enrolled in is :
Confidence Interval ( 11.76, 12.84).
Step-by-step explanation:
The formula for a Confidence Interval is:
C. I = μ ± z × σ/√n
Where
z = z score
μ is the sample mean
σ is the sample standard deviation
n = number of samples
We were given a 95% confidence interval
The z score for a 95% confidence interval = 1.96
μ = 12.3 units
σ = 1.9
n = 47 students
C. I = μ ± z × σ/√n
C.I = 12.3 ± 1.96 × 1.9/√47
C.I = 12.3 ± 0.5432012283
Hence,
Confidence interval = 12.3 ± 0.5432012283
12.3 - 0.5432012283 = 11.756798772 Approximately ≈ 11.76
12.3 + 0.5432012283 = 12.843201228
Approximately ≈ 12.84
Therefore, the 95% confidence interval for the average number of units that students in their college are enrolled in is :
Confidence Interval ( 11.76, 12.84).
S(n) = 3n + 4, n = { 1, 2, 3, 4 }
What is the distance between 1.5 and -2
Answer:
-1.5,0,1
Step-by-step explanation:
If the simple interest on $2000 for 10 years is $1200, then what is the interest rate?
Answer:
6%
Step-by-step explanation:
Solving our equation
r = 1200 / ( 2000 × 10 ) = 0.06
r = 0.06
converting r decimal to a percentage
R = 0.06 * 100 = 6%/year
The interest rate required to
accumulate simple interest of $ 1,200.00
from a principal of $ 2,000.00
over 10 years is 6% per year.
gordan types 1800words in 25minutes words per minute
Answer:
ok? if the question is how many words does he type in a minute the answer is 72
Step-by-step explanation:
Answer:
72 is right i check
Step-by-step explanation:
he/she comment the same so it was there idea
) In a geometric progression, the sum of the first two terms is equal to 16. The sum to infinity is equal to 25. Find the possible values of the first term.
There are no possible real values for the first term 'a' that satisfy both equations.
Let's denote the first term of the geometric progression as 'a' and the common ratio as 'r'.
The sum of the first two terms can be expressed as:
a + ar = 16
To find the sum to infinity, we can use the formula:
Sum to infinity = a / (1 - r)
Given that the sum to infinity is 25, we have:
25 = a / (1 - r)
We now have two equations:
a + ar = 16
a / (1 - r) = 25
We can solve these equations simultaneously to find the possible values of 'a'.
From the first equation, we can factor out 'a' to get:
a(1 + r) = 16
Dividing both sides of the second equation by 25, we have:
a / (1 - r) = 1
We can rearrange this equation to get:
a = 1 - r
Substituting this expression for 'a' in the first equation, we get:
(1 - r)(1 + r) = 16
Expanding the equation, we have:
1 - r^2 = 16
Rearranging the terms, we get:
r^2 = -15
Since we are dealing with a geometric progression, the common ratio 'r' must be a real number. However, we observe that r^2 = -15 has no real solutions. Therefore, there are no possible real values for the first term 'a' that satisfy both equations.
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6. Order these fractions from least to
greatest:
2/3
7/12
3/4
2/3 = 8/12
7/12 = 7/12
3/4 = 9/12
7/12 < 8/12 < 9/12
So, 7/12 < 2/3 < 3/4
Is DEF = ABC? If so, type the reason, if not type no.
Answer:
Yes
Step-by-step explanation:
All you need to do is figure out the missing angles. We know that the three angles in a triangle add up to 180 degrees.
For angle B in ABC, 180-52-39= 89. So angle B = 89 degrees.
For angle D in DEF, 180-39-89= 52. So angle D = 52 degrees.
Then see if the order of the angles match up.
DEF = 52 degrees, 89 degrees, 39 degrees
ABC = 52 degrees, 89 degrees, 39 degrees
The order of the same angles match, so triangle DEF and triangle ABC are equal.
Answer:
Yes, triangle DEF is similar to triangle ABC because their corresponding angles are the same size.
Step-by-step explanation:
Interior angles of a triangle sum to 180°.
⇒ ∠A + ∠B + ∠C = 180°
⇒ 52° + ∠B + 39° = 180°
⇒ ∠B = 89°
⇒ ∠D + ∠E + ∠F = 180°
⇒ ∠D + 89° + 39° = 180°
⇒ ∠D = 52°
Two triangles are similar if their corresponding angles are the same size.
If ΔDEF ~ ΔABC then:
∠D = ∠A∠E = ∠B∠F = ∠CFrom inspection of the given diagram:
∠D = 52° and ∠A = 52° so ∠D = ∠A∠E = 89° and ∠B = 89° so ∠E = ∠B∠F = 39° and ∠C = 39° so ∠F = ∠CTherefore, the triangles are similar because their corresponding angles are the same size.
Please help me! The question is “is the slope positive or negative
Answer:
it is negitive.
Step-by-step explanation:
f(x) = 2x + 3 and g(x) = –x^2 + 5, find f(1) and g(1)
Answer: dont you need like a picture or sum to find g1 or something?
Step-by-step explanation:
Answer:
Step-by-step explanation:
f(1)= 2(1)+3= 2 + 3 =5
g(1)= -1^2 + 5 = -1 + 5 = 4