The total number of students in the student body is 110.
How many students are in the student body?Percentage is the ratio of an amount expressed as a number out of 100. The sign that is used to represent percentage is %.
In order to convert a number to percentage, multiply the number by 100. Percentage is a measure of frequency.
In order to determine the total number of students in the student body, divide the number of students that watch TV everyday by the given percentage.
Number of students in the student body = number of students that watch TV everyday / percentage
88 / 80%
= 88 / 0.8 = 110
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Ralph’s shirt company sells t-shirts for $7.50 each with a flat rate of $10 for shipping. Frank’s t-shirt company sells t-shirts for $10 each with free shipping.
A: Write an equation to represent each T-Shirt company.
Ralph's:_______________
Frank's:_______________
B: Solve the system of equations by using the graph.
C: What does the solution mean in the context of the solution?
Answer:
A: Ralph y = 10 + 7.50x
Frank y = 10x
B: x = 4, y = 40
C: x = 4 means that in order for the companies to make the same amount of money, they have to sell 4 shirts each. When the companies sell 4 shirts (or multiples of 4) they are making the same amount of money.
Step-by-step explanation:
Because both equations are equal to y, set them equal to each other.
10x = 10 + 7.50x
2.5x = 10
x = 4
Plug in x to a y equation.
y = 10(4)
y = 40
- Which expression is NOT equal to 1/30
Answer:
1+1=2
Step-by-step explanation:
please mark me brainliest i want to move to the next rank
-50 POINTS- If you guess will be reported.
If P=(1,6), Find: D3 (P)
Answer:
(3,18)
Step-by-step explanation:
You do not give the center of dilation, so I am using the origin (0,0)
You multiply the x and y by 3
(1,6)
1 x 3 = 3
(1,6)
6 x 3 = 18
(3,18)
Help me please! Whoever answers correctly gets brainliest and 40 points!
Which number is equivalent to the fraction 15/7?
O 2
O 2 1/7
O 7/15
O 1 8/7
Solve for x. −34x≥12
Answer:
x≤ −6/ 17
Step-by-step explanation:
Let's solve your inequality step-by-step.
−34x≥12
Step 1: Divide both sides by -34.
−34x/ −34 ≥ 12/ −34
x≤ −6/ 17
Answer:
x≤ −6/ 17
kkkkkkkkkkkkkkkkkkkkkkkkkkkkk
Answer:
23/4
Step-by-step explanation:
5*4 = 20
20+3=23
Answer:
23/4
Step-by-step explanation:
I learned it like this
4x5+3
So basically you multiply the bottom number with the whole number on the side and add the top number to it
And 4x5+3=23
You keep the bottom number of the mixed number
So it's 23/4
(I'm not super good at explaining things, but I hope this helped)
Write a cubic function whose graph passes through the points (-3, 0), (1, 0), (4, 0), and (0,8)
a cubic function whose graph passes through the points (-3, 0), (1, 0), (4, 0), and (0,8) is: f(x) = - 2 (x + 3) (x - 1) (x - 4)
What is a cubic function?A cubic function is a function whose expression contains the cube of the x variable. A function is referred to as a cubic function if its formula is f(x) = ax³ + bx² + cx + d. a, b, c, and d can all be constants in this case, but make sure that a 0. The b, c, or d might all be zeros.
A cubic function has 3 roots.
Let, assume α, β and γ.
So, f(x) = K (x - α). (x - β). (x - γ)
f(x) is defined by values of x where f(x) = 0
0 = K (x - α). (x - β). (x - γ)
x = α, β, γ
The given cubic function graph is cutting x - axis at 3 points: (-3, 1 ,4)
Now, f(x) = K (x - (-3). (x - 1). (x - 4)
f(x) = K (x + 3) (x - 1) (x - 4)
Next, f(x) passes through point (0,8) which means:
f(0) = 8
so, 8 = K (0 + 3) (0 - 1) (0 - 4)
or, k = - 2
Now, f(x) = - 2 (x + 3) (x - 1) (x - 4)
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is y= 2x3 an exponential function?
Answer:
No it is not an exponential function
Hudson and his children went into a bakery where they sell cupcakes for $4.75 each
and brownies for $2 each. Hudson has $30 to spend and must buy at least 7 cupcakes
and brownies altogether. If x represents the number of cupcakes purchased and y
represents the number of brownies purchased, write and solve a system of
inequalities graphically and determine one possible solution.
Joe is using the function E = 1.89x + 2.89y to minimize his expenses when selling
markers and erasers. He has the following constraints.
2x + y > 10
x + 2y > 8
X>0
y>0
What is the minimum value of E?
$28.90
$9.45
$15.12
$13.34
D I think 13.34
Step-by-step explanation:
Which pair represents opposite numbers?
Answer:
Choice B 2 and -2
Step-by-step explanation:
2 would be opposite of -2
Mark brainliest
Find the area of the figure below. Round answer to nearest tenth.
Answer:
[tex] \approx \: 198.1 \: {cm}^{2} [/tex]
Step-by-step explanation:
Given figure consists of a parallelogram and two semicircles with diameters 14 cm and 8 cm
(Opposite sides of a parallelogram are equal in measure and they are the diameters of the semicircles)
Therefore,
Area of the figure = Area of the parallelogram with base 8 cm and height 12 cm + Area of semicircle with radius (14/2 = 7) 7 cm + Area of the semicircle with radius (8/2 =4) 4 cm
[tex] = b \times h + \frac{1}{2} \times \pi {(7)}^{2} + \frac{1}{2} \times \pi {(4)}^{2} \\ \\ = 8 \times 12 + \frac{1}{2} \pi(49 + 16) \\ \\ = 96 + \frac{1}{2} \times 3.14 \times 65 \\ \\ = 96 + 102.05 \\ \\ = 198.05 \\ \\ \approx \: 198.1 \: {cm}^{2} [/tex]
Step by step exclamation please
Answer:
Expression: 48x + 120y & Area = 1,008 square feet
Step-by-step explanation:
12(4x + 10y)
multiple the 12 into 4x + 10y
12 x 4x = 48x
12 x 10y = 120y
48x + 120y
x = 6 ft
y = 4 ft
Substitite in numbers
48x + 120y
48(6) + 120(6)
Multiply
288 + 720
Add
288 + 720 = 1,008 square feet
What is answer too 12a over 2
Answer:
6a
Step-by-step explanation:
8 feet and 9 inches multiplied by 5
Answer:
43 feet 9 inches
Step-by-step explanation:
Since there are 12inches in a feet you would have to first make the feet in to inches so 8x12 which would give you 96in and since there 9 extra inches you would add them to get 96+9=105inches then you muiltiply by 5 and lastly you make them back in to feet by dividing by 12 since there are 12inches in a feet. It would look like this: 525/12= 43.75 or 43ft and 9in
Can someone help me this is confusing
I WILL MARK BRAINLIEST
What is the shape of the cross section of the figure that is perpendicular to the rectangular base and passes through the top vertex of the figure?
A rectangular pyramid.
a parallelogram that is not a rectangle
a rectangle
a triangle that must have the same dimensions as one of the faces
a triangle that does not have the same dimensions as one of the faces
Answer:
it would be a rectangular pyramid
a recipe says 4 cups of flour makes up to 280 mini cupcakes. If you want to make 120 mini cupcakes how many cups of flower do you need?
-5 + -3 + 9= please help i'm stuck
Answer:
1
Step-by-step explanation:
Answer:
I believe it is 1
Step-by-step explanation:
Find the value of each variable for each circle. Show your work
For a circle you have 60 and 80, what is the value of each variable a and b
The values of the variables in the circles are
Circle 1: a = 34 degreesCircle 2: a = 58 degrees, b = 90 degrees and c = 61 degreesHow to determine the values of the variables in the circles?From the question, we have the following parameters that can be used in our computation:
Circles and missing angles (see attachment for the figures)
Circle 1
To determine the unknown variable (a), we make use of the following theorem
The angle subtended by an arc at the circumference is twice the angle subtended at the circumference
Mathematically, this means that
a = 2 * 17 degrees
Evaluate the product
a = 34 degrees
Circle 2
To determine the unknown variable (a), we make use of the following theorem
The angle at the circumference in a semicircle is 90 degrees.
Mathematically, this means that
b = 90 degrees
Also, we have
a + 122 degrees = 180 degrees
Evaluate
a = 58 degrees
Using the theorem in (a), we have
b + a/2 + c = 180
This gives
90 + 58/2 + c = 180
Evaluate the like terms
c = 61 degrees
Hence, the angle c is 61 degrees
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The foot of a ladder is placed 7 meters from a wall. If the top of the ladder rests 9 meters up on the wall, how long is the ladder?
Answer:
11.4
Step-by-step explanation:
Its a right triangle so we can use the Pythagorean Theorem to solve it
Fatheya and Fatema, along with 30 other people, sign up to audition for a talent show. Contestants are called at random to perform for the judges. What is the probability that Fatheya will be called to perform first and Fatema will be called second?
So there's 30 people or slots. The odds that Fatheya will be chosen to perform first is 1/30. But now there's one less slot.
Now with Fatema, there's 29 slots, so there's a 1/29 chance. Then combine these values by multiplying them:
1/30 * 1/29 = 1/870
All done!
If you were to deposit 2000 in an account that earns simple interest of 3.5% per year, how much would the account be worth in 50 years
Answer:the interest would be $3,500
Step-by-step explanation: you have to multiply all of the numbers together but change the 3.5% to a decimal of 0.035
explain the following composite numbers into product of prime factors.
5929
2,082 divided 694
What is the value of the expression?
Answer:
3
Step-by-step explanation:
2,082/694 = 3
Answer:
3
Step-by-step explanation:
2,082/694 = 3
Find the volume of the cone. Round to your nearest hundredth
volume of cone
= ⅓πr²h
= ⅓ × 3.14 × 9 × 9 × 12
= 3.14 × 3 × 108
= 3.14 × 324
= 1017.36 cm³
If the polynomials p(x)=2x³ +bx² +3x-5 and q(x)= x³+x² -4x-b leave the same remainder, when divided by x-2, prove that b = -13/5.
Step-by-step explanation:
Lets first find the remainder when p(x) is divided by x-2
p(2)=2(2)³+b(2)²+3(2)-5
p(2)=16+4b+6-5
p(2)=4b+17
Now let's find the remainder when q(x) is divided by x-2
q(2)=(2)³+(2)²-4(2)-b
q(2)=8+4-8-b
q(2)=4-b
Now let's equate both of them
4b+17=4-b
4b+b=4-17
5b=-13
b=-13/5 as required
Question 3
Use the quadratic formula to complete the table. To verify your solutions, graph the equations.
BIU X² X₂ 10pt
Help !!!
The linear equation in this case is . The [tex]$3 x^2+4 x+4=0$[/tex] answer is [tex]x=-\frac{2}{3}+i \frac{2 \sqrt{2}}{3}, x=-\frac{2}{3}-i \frac{2 \sqrt{2}}{3}[/tex] and [tex]$3 y^2+2 x+4=0: \quad$[/tex]: quadratic [tex](h, k)=(-2,0), p=-\frac {1} {6}[/tex] , is the solution.
What do you meant by quadratic equation ?[tex]$3 x^2+4 x+4=0 \quad: \quad x=-\frac{2}{3}+i \frac{2 \sqrt{2}}{3}, x=-\frac{2}{3}-i \frac{2 \sqrt{2}}{3}$[/tex]
[tex]$3 x^2+4 x+4=0$[/tex]
Apply the quadratic formula to the problem. [tex]$x_{1,2}=\frac{-4 \pm \sqrt{4^2-4 \cdot 3 \cdot 4}}{2 \cdot 3}$[/tex]
Simplify [tex]$\sqrt{4^2-4 \cdot 3 \cdot 4}: \quad 4 \sqrt{2} i$\\[/tex]
[tex]$x_{1,2}=\frac{-4 \pm 4 \sqrt{2} i}{2 \cdot 3}$[/tex]
Distinguish the answers
[tex]x_1=\frac{-4+4 \sqrt{2} i}{2 \cdot 3}, x_2=\frac{-4-4 \sqrt{2} i}{2 \cdot 3}\\x=\frac{-4+4 \sqrt{2} i}{2 \cdot 3}: \quad-\frac{2}{3}+i \frac{2 \sqrt{2}}{3}\\x=\frac{-4-4 \sqrt{2} i}{2 \cdot 3}: \quad-\frac{2}{3}-i \frac{2 \sqrt{2}}{3}[/tex]
The following are the quadratic equation's solutions:
[tex]x=-\frac{2}{3}+i \frac{2 \sqrt{2}}{3}, x=-\frac{2}{3}-i \frac{2 \sqrt{2}}{3}[/tex]
2) [tex]$3 y^2+2 x+4=0: \quad$[/tex] A parabola with a focal length of and a vertex at (h,k)=(-2, 0) [tex]$|p|=\frac{1}{6}$[/tex]
[tex]$3 y^2+2 x+4=0$[/tex]
[tex]$4 p(x-h)=(y-k)^2$[/tex] is the common formula for a right-to-left parabola with a vertex at (h, k) and a focal length of |p|.
Rewrite [tex]$3 y^2+2 x+4=0$[/tex] using the proper form: [tex]$4\left(-\frac{1}{6}\right)(x-(-2))=(y-0)^2$[/tex]
The following are characteristics of parabolas:
[tex](h, k)=(-2,0), p=-\frac {1} {6}[/tex]
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Of the first 14 people to enter a department store, 9 were carrying a purse. If there are now 56 people in the department store, how many do you expect to not be carrying a purse?
please help me !!!
Answer:
36 estimated amount of people
Hope this helps!!!! Love the pig pic btw ^-^
y
∝
√
x
If
y
=
45
when
x
=
81
find,
x
when
y
=
100
9514 1404 393
Answer:
400
Step-by-step explanation:
The statement of proportionality means the ratio of y to √x is the same. Then we can write ...
(√x)/100 = (√81)/45
√x = 100(√81)/45 = 20 . . . . . multiply by 100
x = 20² = 400
x is 400 when y is 100.