The total cost during a school year to attend a given number of daces is a
linear function of the number of dances attended.
The correct responses are;
Part A; The function for the total cost is; c = 50 + 4·nPart B; The total cost for attending 15 dances is; c = $1101. The initial cost is $50 and the rate is $42. The annual fee, the admission price, and the number of dances attended3. The solution are: Part A; c = 50 + 4·n, Part B; c = $110Reasons:
The given parameter are;
Admission price per person = $4
The annual fees members pay = $50
A. The function that can be used to determine c is a linear function, with a y-intercept (initial value) of 50 and a rate (slope) of 4
The total cost to attend n dances a year, c = 50 + 4·n
B. If a member attends 15 dances a year, we have;
n = 15
Therefore;
The total cost, c = 50 + 4 × 15 = 110
The total cost for 15 dances a year, c = $110
1. As the number of dances attended increase, the total cost increase, and the cost when no dance is attended by a member during the year is $50.
2. The essential information that can be used to find the solution are;
The admission price for each person.The annual fee for membership dues.The number of dances a member attends in a year.3. Part A; c = 50 + 4·n
Part B; c = $110
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I need help plz asp
9
Step-by-step explanation:
woody is 5
buzz is 3
mr potato head is 3
rex is 7
alien is 1
Y+2= 1/3(x+6)
Solve for y
Answer:
y = 1/3x
Step-by-step explanation:
Alright, so we have an equation with two variables (y and x) and I need to solve for y in terms of x. That is, I need to isolate y one one side with all the other terms on the other side.
First, let's distribute the 1/3 on the right side of the equation onto the x and 6 inside the parentheses.
y + 2 = 1/3(x + 6)
y + 2 = 1/3(x) + 1/3(6)
y + 2 = 1/3x + 2
Now, let's isolate y on the left side by removing 2 from both sides.
y + 2 = 1/3x + 2
y + 2 - 2 = 1/3x + 2 - 2
y = 1/3x
So, y is equal to 1/3x. Hopefully that's helpful! :)
9x + 1 = -26 what is the value of x
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve for x ~
[tex] \sf9x + 1 = - 26[/tex][tex] \sf9x = - 26 - 1[/tex][tex] \sf x = - 27 \div 9[/tex][tex] \sf x = - 3[/tex]Hence, value of x is -3
Which expression represents how many years are in X months
Answer:
12 months is one year so the expression is:
Step-by-step explanation:
2year = 2(X)
so you know one year 12 months you can put 12 on the x value
2 years = 2(12)
2 years = 24 months
On a scale drawing of a town,two landmarks are shown 6 inches apart. These two places are actually separated by 54 miles. What is the map's scale? 1 inch = ______ miles
Answer:
9
Step-by-step explanation:
[tex]54 \div 6 = 9[/tex]
Find the perimeter of both ( they have the same perimeter)
Answer:
x=2
Step-by-step explanation:
6x+3+2x+1+4x=12x+4
5x+5x+3x+2=13x+2
12x+4=13x+2
4-2=13x-12x
2=x
1
Arrange the following steps in the right order so as to find the roots of the following quadratic equation.
22 +22 - 8=0
=
-2 +6
=
2
-2 +4+32
2.
=
= = =
I = -4; = 2
x = -13
TI
-2 = 36
2
-2 +(2) – 4(1)(-8)
2 (1)
2
= r = -1 -3: x = -1 +3
Answer:
22 +22 - 8=0
=
-2 +6
=
2
-2 +4+32
2.
=
= = =
I = -4; = 2
x = -13
TI
-2 = 36
2
-2 +(2) – 4(1)(-8)
2 (1)
2
= r = -1 -3: x = -1 +3 = sin \theta
Step-by-step explanation:
There are 25 students in Mr. Detwikers 1st period class. If 76% of these students complete their homework last night. How many students did their homework?
Which expressions are equivalent when m = 1 and m = 4? 5 m minus 3 and 2 m 5 m 3 m 4 and m 4 2 m 2 m 7 and 3 m minus 3 m 5 m 3 and 4 m 2 2 m.
Answer:
Step-by-step explanation:
The expressions that are equivalent when m = 1 and m = 4 is;
Option B: 3m + 4 and m + 4 + 2m
We are given m = 1 and m =4;
A) 5m - 3 and 2m + 5 + m
B) 3m + 4 and m + 4 + 2m
C) 2m + 7 and 3m - 3 + m
D) 5m + 3 and 4m + 2 + 2m
For option B; 3m + 4 and m + 4 + 2m
Let's put m = 1
3(1) + 4 = 7
Also, 1 + 4 + 2(1) = 7
Similarly, let us put 4 for m to get;
3(4) + 4 = 16
Also, 4 + 4 + 2(4) = 16
In both cases, the expressions are equivalent and as such option B is the right one.
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Can someone plz help Me?
Answer:
i am pretty sure its C
Step-by-step explanation:
F(x) = 3x2+ 6x - 18 find f (10)
Answer:
f(10) = 342
Step-by-step explanation:
f(x) = 3x² + 6x - 18
f(10 = 3(10)² + 6(10) - 18
f(10) = 3(100) + 60 - 18
f(10) = 300 + 60 - 18
f(10) = 360 - 18
f(10) = 342
how do you evaluate?
We evaluate an algebraic expression by the determination of an unknown variable.
Evaluation is a systematic method used in solving most algebraic expressions in mathematics.
Let assume that we have a given algebraic expression where y is expressed in terms of x and;
y = 2x + 5 where (x = 4)
Here, y and x are the variables;y = 2(4) + 5
y = 8 + 5
y = 13
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please help me What is the mode of the data shown in this stem-and-leaf plot?
Stem Leaf
1 3 7 7
2 2 4 4 4 5
3 1 5 8 9
4 0 6 7
Key: 2|1=21
Enter your answer as a number, like this: 42 and explain your answer
Explanation:
The mode corresponds directly to the most frequent leaf, ie the leaf that shows up the most. This is because the mode itself is the most frequent value of a list of numbers. Be sure to keep the rows separate. The leaf "5" shows up twice, but it's for two different stems. The leaf "7" is a similar story.
In row two, we have the leaf "4" show up three times which is the most of any leaf for any given stem. Tie that leaf to the stem 2 and we get the value 24.
The mode is 24.
What is the x-coordinate of the solution to the system of equations?
3x + 5y = 10
1x + 5y = 2
Answer:
x = 4
Step-by-step explanation:
Use elimination method.
-----------------
3x + 5y = 10
-(1x + 5y) = -1(2)
-1x -5y = -2
------Simiplify------
2x = 8
x = 4
Could someone help. Please show work
Answer:
x=-2 and y=5
x=-1 and y=4
Step-by-step explanation:
hope tha work
what is 5^12 divided by 5^3 simplified
Answer: 1/4
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
*FIRST PERSON TO GET IT RIGHT AND ANSWER FIRST GETS BRAINLIEST*
In an aquarium, there are starfish and octopi in a tank. The total number of animals in the tank is 30. The total number of legs in the tank is 171. Assuming that all animals have all their legs, find the number of each type of animal in the tank. (Starfish have 5 legs and Octopus have 8 legs)
(solve using substitution method. MUST SHOW WORK)
There are 23 sharks and 7 octopi in the aquarium
Let the number of sharks in the aquarium be xLet the number of octopi in the tank be y
If the total number of animals in the tank is 30, therefore;
x + y = 30 ....................... 1If the total number of legs in the tank is 171 with starfish having 5 legs and Octopus having 8 legs, the required expression will be:
5x + 8y = 171 ................ 2From equation 1, x = 30 - y ................... 3
Substitute equation 3 into 2 to have:
5(30-y) + 8y = 171
150 - 5y + 8y = 171
3y = 171 - 150
3y = 21
y = 7
Recall that x = 30 - y
x = 30 - 7
x = 23
Hence there are 23 sharks and 7 octopi in the aquarium
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Satoko has 30 tokens to spend at an arcade. The three lines represent the cost of playing Satoko's three
favorite games for various numbers of times.
Answer:
KOF
Step-by-step explanation:
Khan Academy
Trust me
Answer:
KOF
Step-by-step explanation:
Khan academy
A scale of a model has a scale of 1:360.
A. The actual length of the football field including the end zones is 120. how long in inches is the football field in the model?
B How many times the length of the model is the length of the actual stadium
Answer:
120 yards,360 feet's of length and 53 1/3 yards,160 feet of width
Please write a equation for this table
Answer:
y = 5x +2
Step-by-step explanation:
The point (0, 2) tells us the y-intercept is 2.
If we translate the table down 2 units by subtracting 2 from every y-value, it becomes ...
6, 30
-2, -10
0, 0
10, 50
We notice these values are all related by a factor of 5 (they are proportional). That means the equation will be a straight line with slope 5 and y-intercept 2.
y = 5x +2
A cylindrical, wooden table top has a density of 0.42 g cm 3 and a mass of 0.25 kg.
The table top has a depth of 6 cm.
Find the radius of the table top, rounded to 1 dp.
The radius of the table top, rounded to 1 dp is 5.6 cm
From the question,
We are to determine the radius of the table top
First, we will determine the volume of the cylindrical wooden table
From the given information
Density = 0.42 g/cm³
Mass = 0.25 kg = 250 g
Using the formula
[tex]Volume = \frac{Mass}{Density}[/tex]
∴ [tex]Volume = \frac{250}{0.42}[/tex]
Volume = 595.238 cm³
Now, for the radius of the table top
Using the formula for volume of a cylinder
[tex]V = \pi r^{2}h[/tex]
Where V is the volume
r is the radius
and h is the height or depth
From the given information
h = 6cm
Putting the parameters into the formula
[tex]595.238 = \pi r^{2} \times 6[/tex]
∴ [tex]r^{2} = \frac{595.238}{6\pi }[/tex]
[tex]r^{2} =31.57835667[/tex]
[tex]r =\sqrt{31.57835667}[/tex]
r = 5.6 cm
Hence, the radius of the table top, rounded to 1 dp is 5.6 cm
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Determine the correct value of 3x + 2 when x= 5
Step-by-step explanation:
3x+2
3 x 5=15
15 + 2 = 17
so your answer is 17
pemdas
Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
ASAP
Please show working out I will give out brainiest :)
Leticia reads the temperature of a solution in a lab experiment. The temperature of the solution is 6.1ºF. After 6 hours, she reads the temperature of the solution again. The temperature of the solution is now −1.7°F. Leticia plots the points on a number line to determine the temperature change between these two readings. How much did the temperature decrease? Enter your answer as a decimal in the box.
Answer:
1.4F. When you add 3.1 to -1.7 you get 14F
Answer:
1.4 is the answer
Step-by-step explanation: Hey I didn't get an A on my test but i got this one right
Find two numbers that round to 387.4 when rounded to the nearest tenth. Drag the numbers to the box.
Answer: By using the rounding rule.
Step-by-step explanation:
387 x 397 => 387.4
384 x 352 => 387.4
9x-5y=2
3x-4y=10
can anyone please explain how the answer of this question is:
x=-4
y=-2
Answer:
9x-5y=2======>9x-5y=2===>(+)7y=-28=>y=-4=>(1)3x-4(-4)=10=>x+16=20=>x=4
3x-4y=10(1)=>(×-3)-9x+12y=-30=>(+)
Which will result in a difference of squares? (–7x + 4)(–7x + 4) (–7x + 4)(4 – 7x) (–7x + 4)(–7x – 4) (–7x + 4)(7x – 4)
merry Christmas y'all
Answer:
(-7x + 4)(-7x - 4)
Step-by-step explanation:
When you multiply two binomials together and you want the result to be the difference of squares, the two binomials must have the same terms and ONE of the terms must have the opposite sign.
Ex: (a+b)(a-b)
OR (x+2)(x-2)
OR (m-3)(m+3)
OR (2x+1)(2x-1)
OR (-5n+7)(-5n-7)
These multiplications
(–7x + 4)(–7x + 4) and
(-7x + 4)(4 - 7x) yield a perfect square trinomial.. Both factors are identical, so they are not the answer.
(–7x + 4)(7x – 4) is also not the answer because one factor is the opposite of the other factor. That is, both terms in one factor are the opposite sign from the other. We need just ONE term to have the opposite sign.
Difference of squares:
(a+b)(a-b)=
a^2 - b^2
Triangle JKL is similar to triangle MNO. Find the measure of side MN. Round your answer to the nearest tenth if necessary.
Answer:
I believe the answer is 47. Forgive me if I'm wrong
Which rule was used to create the input/output?
Answer:
B. y = -4x
Step-by-step explanation:
input x in the possible answers
y = -4x
-4(2) = 8
-4(1) = -4
-4(-3) = 12
-4(-5) = 20
A group of fitness club members lose combined total of 28 kilograms in 1 week there are approximately 2.2 pounds in 1 kilogram assuming the weight loss happened at a constant rate about how many pounds did the group lose each day?
Answer:
8.8
Step-by-step explanation:
First turn 28 kilograms into pounds by multiplying 2.2 by 28. You end up with 61.6 pounds lost in one week. Next you take 61.6 divided by 7 to know how many pounds were lost in each day. You should end up with about 8.8 pounds.
Hope This Helps:)
Answer: 8.8
Step-by-step explanation: