Question asked:Jacob and Sarah are saving money to go on a trip. They need at least $1975 in order to go. Jacob mows lawns and Sarah walks dogs to raise money. Jacob charges $25 each time he mows a lawn and Sarah charges $15 each time she walks a dog. The number of dog walks that Sarah has scheduled is no more than four times the number of lawns Jacob has scheduled to mow. Sarah will walk at least 50 dogs.Write a set of constraints to model the problem, with x representing the number of lawns mowed and y representing the number of dogs walked.
My answer:
They need at least $1975. Jacob charges $25 each time he mows a lawn and Sarah charges $15 each time she walks a dog.
25x + 15y ≥ 1975
The number of dog walks that Sarah has scheduled is no more than four times the number of lawns Jacob has scheduled to mow.
y ≤ 4x
Sarah will walk at least 50 dogs.
y ≥ 50
A union charges monthly dues of $6.00 plus $0.15 for each hour worked during the month. A union member's dues for March were $30.60. How many hours did the union member work during the month of March?
Answer:
4.5
Step-by-step explanation:
8x^(2)+3x-18 - 6x3 + 10x2 − x − 3
Ans = Error
The value of x is unknown Therefore, it cannot be simplified.
Try giving the value of x and I will try again.
how many one and one fourths are in four and one half
Answer:
There is 5 4rth
Step-by-step explanation:
The value of y is directly proportional to value of x.if y =35 when x=140 what is the value of y when x = 70
Answer:
Y= 17.5
Step-by-step explanation:
140 divided by 2 would equal 70 which could used on y as well meaning 35 divided by 2 would be 17.5 thus giving us the answer 17.5
Two angles of a triangle measure 55° and 20° what is the measure of the third angle on a triangle
Answer:105 degrees
Step-by-step explanation: All triangles have a 180 degree to them so 55+20 is 75 AND 180 degrees - 75 gives us 105 degrees. Although I know my math is correct a picture of this triangle would be helpful
Answer:
105
Step-by-step explanation:
all the angles of a triangle must equal 180
A Department of Transportation report about air travel found that, nationwide, 78% of all flights are on time. Suppose a random sample of 50 flights is selected from all nationwide flights that were completed in the past 30 days (over 1000 flights). Let the random variable X be defined as the number of sampled flights that arrived on time.
What is the value of the n parameter of the binomial random variable X?
Group of answer choices
50
78
39
30
1000
Answer:
The value of parameter n of binomial random variable is 50.
Step-by-step explanation:
The value of n parameter is 50 because it is the size of sample of flights. In binomial experiment the process is repeated fixed n number of times and here in the given scenario random sample of 50 flights is the n which is fixed throughout the process.
Elowen pays a total of $22.50 for every six shirts
she has dry-cleaned.
The Triangle Sum Theorem states that the sum of all the angles in a triangle is
Answer:
180°
Step-by-step explanation:
Marcus thinks of a number between 5 and 10 He multiplies the number by 4 and adds 20.He takes this answer, multiplies it by 4 and adds 20 .He repeats this process a number of times and gets 868 What number did he begin with?
Answer:
7
Step-by-step explanation:
7 × 4 + 20 × 4 + 20 = 212
212 x 4 + 20 = 868
The number is 7.
What is Sequence?An ordered collection of objects that allows repetitions is referred to as a sequence. Similar to a set, it has members (also called elements, or terms). The length of the series is the number of elements (potentially infinite).
Given:
First term, [tex]a_1[/tex] = x
[tex]a_2[/tex] = 4[tex]a_1[/tex] + 20
.
.
.
[tex]a_n[/tex] = 4[tex]a_{n-1[/tex] + 20
So, [tex]a_n[/tex] = 868
4[tex]a_{n-1[/tex] + 20 = 868
4[tex]a_{n-1[/tex] = 868 - 20
[tex]a_{n-1[/tex] = 212
4[tex]a_{n-2[/tex] + 20 = 212
[tex]a_{n-2[/tex] = 48
and, [tex]a_{n-3[/tex] = 7
Hence, the number is 7.
Learn more about Sequence here:
https://brainly.com/question/21961097
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Liam has this spinner.
red
green
blue
yellow
red
green
blue
red
Liam will spin the pointer one time.
What is the probability that the pointer will land on red?
ASAP! Help I’ll mark you brainly
Answer:
y=0.13x^2+13.68x+750
this the function rule
Step-by-step explanation:
brainliest
Answer:
im the other
make sure u give it to tfue_the_god
Step-by-step explanation:
have this done correctly for brainliest
The sides of ADEF are d, e, and f. If the lengths of d = 12 and e = 19, what are the
possible lengths of f?
Answer:
The possible range of values for F are from 8 to 30
Step-by-step explanation:
Here, we have a triangle DEF and we want to get the possible lengths of the third side
To evaluate the possible lengths of the third side , we need to follow a rule
The rule is that, for the third side, the sum of the two other sides must be greater than it
This means that the length should be less than d + e
Mathematically;
f < d + e
f < 12 + 19
f < 31
So it could be 30
It could also range from 30 to 8
This is because if it is less than 8, then the addition to 12 will be less than or equal to 19
(1,6) and (9,14) standard form
Answer:
(14y+6y)+(9x+1x)
Step-by-step explanation:
PLZ HELP I WILL MARK BRAINLEST!
Answer: 16.4cm
Step-by-step explanation: 4cm=20km
82/20 is 4.1. 20 multiplied by 4.1 and you get 16.4cm
In ΔDEF, e = 2.7 inches, ∠F=49° and ∠D=58°. Find the length of f, to the nearest 10th of an inch.
Answer:2.1
Step-by-step explanation:
\text{Draw a diagram:}
Draw a diagram:
D
E
F
e = 2.7
f = ?
49°
58°
\text{A.S.A.}\rightarrow \text{Law of Sines}
A.S.A.→Law of Sines
\frac{a}{\sin A}=\frac{b}{\sin B}
sinA
a
=
sinB
b
\text{Find other angle:}
Find other angle:
\angle E=180-49-58=73^{\circ}
∠E=180−49−58=73
∘
D
E
F
e = 2.7
f = ?
49°
58°
73°
\frac{f}{\sin 49}=\frac{2.7}{\sin 73}
sin49
f
=
sin73
2.7
f=\frac{2.7\sin 49}{\sin 73} \approx 2.131 \approx 2.1
f=
sin73
2.7sin49
≈2.131≈2.1
A system of two linear equations is consistent and dependent. What is true about the graph of the equations?
A.
The lines are the same.
B.
The lines are parallel, but have different intercepts.
C.
The lines intersect.
D.
The lines are perpendicular.
Please select the best answer from the choices provided
A
B
C
D
Answer:
The best answer is " The lines are the same " ⇒ A
Step-by-step explanation:
A system of two linear equations can have:
One solution ⇒ 2 intersected lines at a pointAn infinite number of solutions ⇒ same lineNo solution ⇒ 2 parallel linesIf a system has at least one solution, it is called consistent
If a consistent system has exactly one solution, then it is called independent. they are represented by two intersected lines at a pointIf a consistent system has an infinite number of solutions, then it is called dependent. They are represented by the same lineIf a system has no solution, then it is called inconsistent. they represented by two parallel lines
Let us use these facts above to solve our question
∵ A system of two linear equations is consistent and dependent
∴ The system has an infinite number of solutions
∴ The system represented graphically by the same line
∴ The best answer is " The lines are the same "
State the x and Y intercepts of the equation y=2/3x - 1/3
Answer:
x intercept is (1/2, 0).
y intercept = (0, -1/3)
Step-by-step explanation:
2/3x - 1/3 = 0
2/3x = 1/3
x = 1/3 * 3/2
x = 1/2.
y = 2/3(0) - 1/3 = -1/3.
what is another name for <2
Answer:
two, like: both, pair, couple, same, twain, bifurcate, bigeminal, binal, twin, dual and double.
Step-by-step explanation:
________ and ________ are two ways that substances pass through a cell membrane out of the cell. A Photosynthesis, diffusion B Diffusion, active transport C Active transport, mitosis D Photosynthesis, mitosis
Answer:
b. diffusion and active transport
Step-by-step explanation:
these are two ways that substances, like nutrients, pass through cell membranes.
Answer:
b
Step-by-step explanation:
Use scientific notation to find the product of 7.13 × 10 -3 and 40.
Answer:
(7.13 × 10^-3) x 40 = 285.2 x 10^-3 = 2.9 x 10^-1
Step-by-step explanation:
I think this is the answer i hope if it right or not but aleast I try on it .
Find the unknown angle measure.
Answer:
54
Step-by-step explanation:
equilateral triangle= 2 angles equal
180-72=108
108/2 =54
x=54
PLEASE HELP ME ANSWER BOTH QUESTIONS WILL MARK BRAINLIEST!!!
Answer:
2034
Step-by-step explanation:
The data below indicate the time (in seconds) that it takes 25 separate employees to complete a certain task. hw1_q5.csva) What is the mean of the data in seconds? Give your answer to three decimal places.b) What is the median of the data in seconds?c) What is the variance of the data in seconds? Give your answer to three decimal places.d) What is the standard deviation of the data in seconds? Give your answer to three decimal places.e) What is the mean of the data in minutes? Give your answer to three decimal places.f) What is the median of the data in minutes? Give your answer to three decimal places.g) What is the variance of the data in minutes? Give your answer to three decimal places.h) What is the standard deviation of the data in minutes? Give your answer to three decimal places.seconds260224221255236215193285244284222185182197253191255231229168152221244239246
Answer:
Explained below.
Step-by-step explanation:
Consider the data provided.
(a)
Compute the mean of the data in seconds as follows:
Mean =AVERAGE(array)
= 225.280 seconds
(b)
Compute the median of the data in seconds as follows:
Median =QUARTILE.EXC(array,2)
= 229 seconds
(c)
Compute the variance of the data in seconds as follows:
Variance =VAR.S(array)
= 1148.043 seconds
(d)
Compute the standard deviation of the data in seconds as follows:
Standard deviation =STDEV.S(F2:F26)
= 33.883 seconds.
(e)
Compute the median of the data in minutes as follows:
Median =QUARTILE.EXC(array,2)
= 3.755 minutes.
(f)
Compute the median of the data in minutes as follows:
Median =QUARTILE.EXC(array,2)
= 3.817 minutes
(g)
Compute the variance of the data in minutes as follows:
Variance =VAR.S(array)
= 0.319 minutes
(h)
Compute the standard deviation of the data in minutes as follows:
Standard deviation =STDEV.S(F2:F26)
= 0.565 minutes.
How many thirds are there in 12/3?
Answer: 4
Step-by-step explanation:
12/3 = 4
Answer:
12
i think..............................
A 12-foot piece of rope has 5 pieces that are each 1.25 feet cut from it. What is the rope's new length?
Answer:
5.75 feet
Step-by-step explanation:
5 x 1.25= 6.25
12-6.25=5.75
sorry if I got it wrong
___ is a term relating to abstract ideas.
Answer:
conceptual
Step-by-step explanation:
An AP ® Statistics student designs an experiment to see whether today’s high school students are becoming too calculator-dependent. She prepares two quizzes, both of which contain 40 questions that are best done using paper-and-pencil methods. A random sample of 30 students participates in the experiment. Each student takes both quizzes—one with a calculator and one without—in a random order. To analyze the data, the student constructs a scatterplot that displays a linear association between the number of correct answers with and without a calculator for the 30 students. A least-squares regression yields the equation ˆ=−1.2+0.865() =0.79 Which of the following statements is/are true?
Answer:
I and III
Step-by-step explanation:
“use synthetic method to find the quotient”
Answer:
1) [tex]2x^{4} -x^{3} +2x^{2} -4x+5+\frac{6}{x+2}[/tex]
2) [tex]5x^{3}+15x^{2} +45x+151+\frac{474}{x-3}[/tex]
Step-by-step explanation:
HELP PLEASE !
10 points !!
What is the slope of the function?
Answer:
the answer is -4 because the Y values are going down 4 at a time.
