Answer:
9
Step-by-step explanation:
First, write the equation.
C(n) = 4 + 3n
We know that C(n) = 31, so we can substitute it.
31 = 4 + 3n
Subtract 4 from both sides to isolate the term with the variable.
27 = 3n
Divide both sides by 3 to get the variable by itself.
9 = n
The value of n such that C(n) = 31 is true is 9
Cost functionsGiven the cost in dollars, of a cafeteria meal plan as a function of the number of meals purchased, n as:
C(n) = 4 + 3nIf the cost value C(n) is 31, hence;
31 = 4 + 3n
3n = 31 - 4
3n = 27
n = 27/3
n = 9
Hence the value of n such that C(n) = 31 is true is 9
Learn more on equations here: https://brainly.com/question/2972832
A cell phone provider offers a plan that costs $40 per month plus $0.10 per text message sent or received. A comparable plan costs $50 per month but offers unlimited text messaging.. How many text messages would have to be sent or received in order for the plans to cost the same each month?
9514 1404 393
Answer:
100
Step-by-step explanation:
The $10 difference in base cost will pay for $10.00/$0.10 = 100 text messages.
in Mike’s house are broken now. His father replaced 3/14 of the broken) .4 windows. Uncle Jack replaced 1/7 of the broken windows. Who replaced the greater fraction of the broken windows?
Answer:
Mike's father produces a greater fraction.
Step-by-step explanation:
Amount of windows replaced by Mike's father = 3/14
Amount of windows replaced by Uncle Jack = 1/7
This 1/7 can also be expressed as 2/14
Now, since they both have the same denominators, it means that the higher the numerator the greater than the other fraction.
Thus, 3/14 is greater than 2/14.
Hence, Mike's father replaced a greater fraction of the broken windows.
Find the unit rate. Enter your answer as a mixed number. 7 1 A fertilizer covers 8 square foot In = hour. The unit rate is square feet per hour.
Answer:
Step-by-step explanation:
7 1 A fertilizer covers 8 square foot In = hour. The unit rate is square feet per hour.
» Seven more than a number, 2, is at most 20.
1) Which inequality represents this statement?
7 – < 20
7 + x < 20
7 - 2 > 20
7 + x > 20
Answer:
i believe its 7 + x < 20
Step-by-step explanation:
The inequality function that represent the given statement should be 7 + x < 20. The second option is correct.
What is the inequality function?It is the relationship type that shows the relationship with the graph.
Since the statement like
Seven more than a number, 2, is at most 20.
So its inequality function be like
7 + x < 20
hence, the second option is correct.
And, the rest of the options are incorrect.
Learn more about inequality here: https://brainly.com/question/11211729
The parking lot is 4 km wide. The area of the parking lot is 24 kilometers. What is length of the parking lot?
Answer:
6
Step-by-step explanation:
divide 4 and 24
The slope below the line is -1/7. Write a point-slope equation of the line using the coordinates on the labeled point.
Answer: y – 3 = –1/7(x – 3)
Ms. O'Rourke has graded 20% of her 150 students'
papers. How many papers does she still need to finish
grading?
Answer:
150−30=120 papers are still left to do
Step-by-step explanation:
150−30=120 papers are still left to do
the graph of y=(1/3)x-1
Answer:
Step-by-step explanation:
Which graph represents the function?
f(x)=1x+1−2
IS MY ANSWER CORRECT???
Answer:yes
Step-by-step explanation:
Answer:
yes it is
Step-by-step explanation:
PLEASE HELP ME, ANSWER ONLY IF YOU KNOW AND IF YOU CAN ADD THE EQUATION
(Whoever adds the equation and it seems correct will earn brainliest.)
A group of friends wants to go to the amusement park. They have no more than $175 to spend on parking and admission. Parking is $12.50, and tickets cost $16.25 per person, including tax. Write and solve an inequality which can be used to determine xx, the number of people who can go to the amusement park.
Answer:
12.5 + (16.25 * 1.0716)x ≤ 175
Step-by-step explanation:
The state tax is approximately 7.16%, so it's why I multiplied 16.25 with 1.0716.
If I spend 40$ on 5 pounds on concrete. What is the unit rate in dollars per pound
I need the answer and please explain how unit rate works cause I don't know lol
Answer:
8$/lb
Step-by-step explanation:
because 8 x 5 is 40 there for each pound would be 8$ if there are 5 pounds
Please help! image is shown below
The top line tells you this two figure is similar.
What does this mean? Similar figures have the exact same corresponding angles and proportionate sides.
You can find their side ratio with 38 and 15.2.
38 ÷ 15.2 = 2.5
To find x, use 55 ÷ 2.5 and you get 22 as your answer.
( HELP! ) Charlie works at Jupiter donuts. He makes $12 per hour and gets a monthly bonus of $150. Last month, Charlie earned $390. Which equation can be used to find the number of hours (h) Charlie worked?
The captain of the cheerleading team, Alicia, counted that they washed 58 cars. Determine if this is a reasonable number of cars that could've been washed.
Answer:
yes but no
Step-by-step explanation:
um well that is a lot by not if there is a bunch of people doing it.
-4 = 5 - x. SHOW ALL STEPS!
Answer:x=9
Step-by-step explanation:
-4=5-x
Add x on both sides
x-4=5
Add 4 on both sides
x=5+4
Solve
x=9
Answer:
x = 9
Step-by-step explanation:
-4 = 5 - x
5 - x = -4
-x = -4 - 5
-x = -9
x = -9/-1
x = 9
Solve:
-1/4a - 4 = 4
Answer:
a = -12
Step-by-step explanation:
-1/4a - 4 = 4
(-1/4a / -1/4) - 4 = (4 / -1/4)
a - 4 = -16
(a - 4 + 4) = -16 + 4
a = -12
I might have made some mistake but if my memory is right this is how you solve it.
The population of a school increased by 16%, and now the population is 667. What was the
population before the increase?
Answer:
575
Step-by-step explanation:
[tex]667 \div (1 + 16\%) = 575[/tex]
i don’t understand.
online school is hard
factorise 49m²-84mn+36n² using the identity x²+(a+b)x+ab=(x+a)(x+b)
Answer:
(7m-6n)(7m-6n)Step-by-step explanation:
Given the expression 49m²-84mn+36n², this can also be written as;
49m²-84mn+36n²
= 7²m² - 84mn + 6²n²
= (7m)²-2*7m*6n+ (6n)²
= (7m-6n)²
= (7m-6n)(7m-6n)
Hence the expanded form is (7m-6n)(7m-6n)
i really need help please help me
Answer:
5.667 yards of fabric was used to make a cape
Step-by-step explanation:
(Total Yard of Fabric)1/3 = (What's Used)
Total Yard Fabric = 17
What's Used = x
1 third = 1/3
(17)1/3 = x
x = 17/3 or about 5.667 yards of fabric used
Double Check:
5.667/17 = 0.3334 which is about 1/3
If you want to find how much he has left:
1 - 1/3 = 2/3
17(2/3) = x
x = 34/3 or about 11.333 yards of fabric left.
Double Check:
11.333/17 = 0.6666 which is about 2/3
Write the equation in slope intercept form of the line passing through the following points (0,5) and (-5, -1).
Answer:
y = 6/5x
Step-by-step explanation:
1. [tex]y = \frac{-1-5 }{-5-0}[/tex]
2. subtract the two number on the top of the fraction bar to get 6
3. do the same for the denominator to get 5
4. your final answer is [tex]\frac{6}{5}[/tex]
write a story problem that can be represented with the following equation:
7.5x + 15 = 30
Answer:
I went to a concert with my friends and every ticket costs $7.50 and I also had to pay a fee of $15.
HURRY WILL MARK YOU BRAINLIEST
Answer:
x=11/4
Step-by-step explanation:
4x+5=8x-6
4
x
= 8
x
−
1
1 <simplify
-8x -8x
-4x=-11
x=11/4
4) The path of a satellite orbiting the earth causes it to pass directly over two
tracking stations A and B, which are 60 km apart. When the satellite is on one side of
the two stations, the angles of elevation at A and B are measured to be 86.4 ° and
85 °, respectively.
Find how far the satellite is from station A and how high the satellite is above the
ground. Round your answers to 2 decimal places.
Answers:
Satellite is approximately 2446.43 km from station A.Satellite is approximately 2441.61 km above the ground.=========================================================
Explanation:
I'm assuming tracking stations A and B are at the same elevation and are on flat ground. In reality, this is likely not the case; however, for the sake of simplicity, we'll assume this is the case.
The diagram is shown below. Points A and B describe the two stations, while point C is the satellite's location. Point D is on the ground directly below the satellite. We have these lengths
AB = 60 kmAD = xCD = hFocusing on triangle ACD, we can apply the tangent rule to isolate h.
tan(angle) = opposite/adjacent
tan(A) = CD/AD
tan(86.4) = h/x
x*tan(86.4) = h
h = x*tan(86.4)
We'll use this later in the substitution below.
--------------------
Now move onto triangle BCD. For the reference angle B = 85, we can use the tangent rule to say
tan(angle) = opposite/adjacent
tan(B) = CD/DB
tan(B) = CD/(DA+AB)
tan(85) = h/(x+60)
tan(85)*(x+60) = h
tan(85)*(x+60) = x*tan(86.4) ............. apply substitution; isolate x
x*tan(85)+60*tan(85) = x*tan(86.4)
60*tan(85) = x*tan(86.4)-x*tan(85)
60*tan(85) = x*(tan(86.4)-tan(85))
x*(tan(86.4)-tan(85)) = 60*tan(85)
x = 60*tan(85)/(tan(86.4)-tan(85))
x = 153.612786190499
--------------------
We'll use this approximate x value to find h
h = x*tan(86.4)
h = 153.612786190499*tan(86.4)
h = 2441.60531869599
h = 2441.61 km is how high the satellite is above the ground.
Return to triangle ACD. We'll use the cosine rule to determine the length of the hypotenuse AC
cos(angle) = adjacent/hypotenuse
cos(A) = AD/AC
cos(86.4) = x/AC
cos(86.4) = 153.612786190499/AC
AC*cos(86.4) = 153.612786190499
AC = 153.612786190499/cos(86.4)
AC = 2446.43279498247
AC = 2446.43 km is the distance from the satellite to station A.
Share 20 into the ratio 1:3
Answer:
5:15 :))
Step-by-step explanation:
you would do 1+3(=4) and then divide 20 by 4(=5)
5×1=5
5×3=15
Alexa's Tea Shop has caffeinated tea and decaffeinated tea. The tea shop served 100 teas in all, 50 of which were caffeinated. What percentage of the teas were caffeinated?
Answer:
50% would be the answer!
Answer:
50%
Step-by-step explanation:
we know that 50 out of the 100 teas are caffeinated. And 50/100 is 50%
What is the equation of the line that passes through (5,-3) and (3,7)
Answer:
-5x +22
Step-by-step explanation:
 NEED HELP ASAP ILL GIVE YOU BRAINLIST
A family just removed a big tree from their backyard. The diameter of the circular hole left behind is 7 feet across. Approximately how many square feet of grass will the family need if they want to cover the area where the tree once was?
A
22 ft²
B
39 ft²
C
44 ft²
D
154 ft²
The family needs to cover 39ft² area of grass.
What is Area of Circle?The area of a circle is the amount of space enclosed within the boundary of a circle. The region within the boundary of the circle is the area occupied by the circle.
Here, Diameter = 7 ft.
Radius = 7/2 ft. = 3.5 ft.
The Area of Circle = πr²
A = 3.14 X (3.5)²
A = 3.14 X 3.5 X 3.5
A = 38.465 ft² ≈ 39 ft²
Thus, the family needs to cover 39ft² area of grass.
Learn more about Area of Circle from:
https://brainly.com/question/22964077
#SPJ2
PLEASE HURRY !! VERY URGENT.
Answer:
If the height is h, then
h/65=sin70 so that means h=65sin70=61.08m approximately
Step-by-step explanation:
help asap due in 5 min.
Answer:
3
Step-by-step explanation:
just trust me hehehehhehehehhe
