Answer: 80
Step-by-step explanation:
Let the number of students be represented by x
Let the number of faculty be represented by y.
Based on the information in the question, we can form an equation which will be:
x + y = 100 ..... i
10x + 25y = 1300 ....... ii
From equation i,
Make y the subject of the formula
y = 100 - x ...... iii
Put the value of equation iii into ii
10x + 25y = 1300
10x + 25(100 - x) = 1300
10x + 2500 - 25x = 1300
10x - 25x = 1300 - 2500
-15x = -1200
x = 1200/15
x = 80
There were 80 students who attended the museum opening
PLEASE HELP, MARKING BRAINLIEST!!!
What is the volume of the hexagonal pyramid?
Answer:
13.86
Step-by-step explanation:
i'm not sure if my math is correct but that is what i got
Which statement is NOT true?
The product of two polynomials is always a polynomial.
The sum of two polynomials is always a polynomial.
The quotient of two polynomials is always a polynomial.
The difference of two polynomials is always a polynomial.
Answer:
The quotient of two polynomials is always a polynomial.
Step-by-step explanation:
There is no guarantee that a quotient of polynomials can be expressed as a polynomial, even though it sometimes can.
Hope it is helpful....Answer: The answer is the quotient of two polynomials is always a polynomial.
Step-by-step explanation:
20.
A soccer ball is kicked upward from the ground with a speed of 96 feet per second. Its height h, in feet, after t seconds is given by the equation h(t) = -16² +96t.
HCL many seconds will it take the soccer ball to reach its maximum height?
Answer:
After 3 seconds
Step-by-step explanation:
Given
[tex]h(t) = -16t^2 + 96t[/tex]
Required
Seconds to attain maximum height
The maximum of a quadratic function [tex]y = ax^2 + bx + c[/tex] is calculated using:
[tex]x = -\frac{b}{2a}[/tex]
So, we have:
[tex]t = -\frac{b}{2a}[/tex]
Where:
[tex]a = -16[/tex] and [tex]b = 96[/tex]
So:
[tex]t = -\frac{96}{2 * -16}[/tex]
[tex]t = -\frac{96}{-32}[/tex]
Cancel out negatives
[tex]t = \frac{96}{32}[/tex]
[tex]t = 3[/tex]
Identify who is correct
Describe the mistake that was made
Jack is wrong because he used the distributive property wrong. On the top equation, you see 2(4k - 3). The 2 multiplies into the (), so basically you have
2 x 4k - 2 x 3
which gives you
8k - 6
Answer:
Taniyah
Step-by-step explanation:
Taniyah is correct because you need to:
diistribute : 8k - 6 - 6k = 14
combine like terms : 2k - 6 = 14
add 6 to both sides : 2k - 6 + 6 = 14 + 6
simplify : 2k = 20
divide both sides by the same factor : 2k/2 = 20/2
simplify : k = 10
what is a square root?
Answer:
A number multiplied by its self for ex 7 x 7 = 49 square root of 49 is 7
Answer:
A square root of a number is a value that, when multiplied by itself, gives the number. 6 · 6 = 36, so a square root of 36 is 6. You are probably curious why I said a square root and not the square root. - 6 · - 6 = 36. - 6 is a square root of 36. The symbol is √ which always means the positive square root.
√1 = 1
√4 = 2
√9 = 3
√16 = 4
√25 = 5
√36 = 6
√49 = 7
√64 = 8
√81 = 9
√100 = 10
help me out broooo asap please haha
A certain store has a fax machine available for use by its customers. The store charges $1.60 to send
the first page and $0.45 for each subsequent page. Use an inequality to find the number of pages
What can be faxed for $4.30.
A) 7 pages or fewer
B) 38 pages or fewer
C) 3 pages or fewer
D) 10 pages or fewer
Find the value of x Write the answer as a fraction in simplest form or a decimal rounded to the nearest hundredth.
Answer:
13.85
Step-by-step explanation:
Find the diagram attached
Using the similarity theorem of a triangle;
GH/FG = FG/EF
x/15 = 36/39
x/15 = 12/13
Cross multiply
13x = 12 * 15
13x = 180
x = 180/13
x = 13.85
Hence the value of x to the nearest hundredth is 13.85
Sort the numbers from LEAST TO GREATEST . > 6.82 , 6.803 , 6.650 , 6.68
Answer:
6.650, 6.68, 6.803, 6.82
Step-by-step explanation:
You just treat the decimals as you would whole numbers. Try imagineing them as whole numbers and its a lot easier like this. 6.82 and 6.68 as 682 and 668, you can clearly see 668 is lower than 682 so it comes first. Therefore, 6.68 is lower than 6.82 and comes first.
The function shown is reflected across the y-axis to create a new function. Which is true about the domain and range of each function? Both the domain and range change. Both the range and domain stay the same. O The domain stays the same, but the range changes. O The range stays the same, but the domain changes -5 +-3-2-1, 5 X PTP
Answer: D
Step-by-step explanation:
Answer:
B
Both the domain and range change.
Both the range and domain stay the same.
The domain stays the same, but the range changes.
The range stays the same, but the domain changes.
Step-by-step explanation:
The following box plot shows the number of years during which 20 schools have participated in an interschool swimming meet:
A box and whisker plot is drawn using a number line from 0 to 10 with primary markings and labels at 0, 5, 10. In between two primary markings are 4 secondary markings. The box extends from 1 to 6 on the number line. There is a vertical line at 3.5. The whiskers end at 0 and 8. Above the plot is written Duration of Participation. Below the plot is written Years.
At least how many schools have participated for 6 years or more? (5 points)
a
4 schools
b
5 schools
c
10 schools
d
11 schools
Answer:
11 school is the ans pls mark me brainlist
Given a cone with a height of 6 cm and a base diameter of 6 cm, what is the volume of the cone? Use 3.14 for T.
O 5.652 cm
O 56.52 cm
O 565.2 cm
5652 cm3
Answer:
56.52 cm³
Step-by-step explanation:
Use the cone volume formula, V = [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]
If the diameter of the cone is 6 cm, then the radius is 3 cm.
Plug in 3.14 as pi, 3 as the radius, and 6 as the height into the equation:
V = (3.14)(3²)[tex]\frac{6}{3}[/tex]
V = (3.14)(9)(2)
V = 56.52
So, the volume of the cone is 56.52 cm³
Consider the sequence 4, 1, -2, -5. What is the 65th term of this sequence?
-188
-204
-55
-110
Answer: -188
Step-by-step explanation: i had to subtract 3 63 times and i got -188
7r^2=-70
-10v^2=-810
Answer:
Step-by-step explanation:
I'll focus on -10v^2=-810 and will aim to find the solution, v. Dividing both sides by -10, we get v^2 = 81, so that v = ±9 (two roots).
The other equation, 7r^2 = -70, has no real solutions.
r^2 = -70 yields r = ±i√10 (two imaginary solutions)
Oliver starts with a collection of bricks in which the combined number of blue and green bricks is odd. Explain why he cannot end up with a combined number of blue and green bricks.
soory I don't know the answer
It costs $23,000 to attend 1 year at Texas State University, and I already saved up $4,000. How much money would I have to save each month for the next year to have the full $23,000?
Round to the nearest hundredth.
Answer:
[tex]\$1583.33[/tex]
Step-by-step explanation:
Let [tex]d[/tex] be the amount of money you need to save each month to have the full $23,000.
We can write the following inequality:
[tex]4,000+12d\geq 23,000[/tex]
Solving for [tex]d[/tex]:
[tex]4,000+12d\geq 23,000,\\12d\geq 19,000\\d\geq \approx \boxed{\$1583.33}[/tex]
Glenn has a garden that is shaped like a rectangle.
The perimeter of his garden is 7012 feet.
The length of the garden is 2434 feet.
What is the width of the garden?
21 ft o 11ft o 10 ½ ft o 45 ¾ ft
Answer:
Solution given:
The length of the garden[l] = 2434 feet.
breadth or width [b]=b
perimeter of his garden = 7012 feet.
2[l+b]=7012ft
2434+b=7012/2
b=3506-2434
b=1072
So the width of the garden is 1072ft.
Question 1 (1 point)
Find the total amount due on a loan of $600 at 1696 interest at the end of 15 months using the simple interest formula.
Answer:4T
Step-by-step explanation:
T
Simplify: 12.5 – 2.2 – 1.5 + 2.6
14.4
11.6
11.4
14.6
What is -84-(-32)?
Please make it fast I have 5 mins left lol
Answer:
-52
Step-by-step explanation:
Answer:
-116
Step-by-step explanation:
-84-(-32) it's simple
Please help me to find area of semicircle
Answer:
Use a calculator and use the formula 1/2 × pi × (radius squared)
8b-50=310. What does b equal
Answer:
B=45
Step-by-step explanation:
310+50=360
360/8=45
:)
45
FiLLeR filler filler
Find the slope of the line through the given points.
(-1,1) and (3, -7)
Answer:
Slop of the line M = -2
Step-by-step explanation:
Given coordinates;
(-1 , 1) , (3 , -7)
Find:
Slop of the line
Computation:
We know that;
x1 = -1
x2 = 3
y1 = 1
y2 = -7
Slop of the line M = Δy / Δx
Slop of the line M = (y2 - y1) / (x2 - x1)
Slop of the line M = (-7 - 1) / [3 - (-1)]
Slop of the line M = (-8) / [3 + 1]
Slop of the line M = (-8) / (4)
Slop of the line M = -2
Can someone please help me on this?
Answer:
The surface area of the green prism is 2.5 times greater than the surface area of the blue prism
Please help this is late work for geometry and I keep getting this awnser wrong
Answer:
w = 12°
Step-by-step explanation:
Angle J = Angle H
Angle K = Angle I
So lets find the sum of the entirety of angles
360° = 2w + 34° + 2w + 34° + 4w + 74° + 4w + 74°
360° = 12w + 68° + 148°
360° = 12w + 216°
Subtract 216° from both sides
360° - 216° = 12w + 216° - 216°
144° = 12w
Divide both sides by 12
144°/12 = 12w/12
12 = w
w = 12°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
58°Step-by-step explanation:
Consider that adjacent angles are supplementary in any parallelogram (including rhombus).
m∠J + m∠K = 180°(2w + 34) + (4w + 74) = 180Solve for w:
6w + 108 = 1806w = 72w = 12Find the value of ∠J:
m∠J = 2w + 34 = 2(12) + 34 = 58Find the slope of the line that passes through (5,3) and (4,2).
Answer:
The slope is 1
Step-by-step explanation:
Slope = (y₂-y₁)/(x₂-x₁) = (2-3)/(4-5) = (-1)/(-1) = 1
Therefore, the slope of the line that passes through (5,3) and (4,2) is 1
A telemarketer earns a 2% commission
on each sale. Find the commission
earned on sales of $1400.
Answer:
28$
Step-by-step explanation:
Consider the expression 16 - 4 × 3 + 7. 2a. Use parentheses to rewrite the
expression so that it equals 11.
. Use parentheses to rewrite the expression so that it equals 120.
Step-by-step explanation:
Consider the expression 16 - 4 × 3 + 7. 2a. Use parentheses to rewrite the
expression so that it equals 11.
. Use parentheses to rewrite the expression so that it equals 120.Consider the expression 16 - 4 × 3 + 7. 2a. Use parentheses to rewrite the
expression so that it equals 11.
. Use parentheses to rewrite the expression so that it equals 120.
circumference is 135.02 what is the diameter?
Answer:
86
Step-by-step explanation:
Radius=Circumference/Pi
135.02/3.14=43
Diameter=2r
43x2=86
Which line has the greatest slope?
Answer:
Line B
Step-by-step explanation:
Automatically, we can eliminate Line C, because the slope is negative, since the question's asking which one is the greatest slope. However, if you do want to find the slope of Line C, you can use the rise/run method or the slope formula. Using the coordinate sets (0, 0) and (1, -2) and applying y2-y1/x2-x1 = -2-0/1-0 = -2/1 = -2.Line A's slope is 1/2. You can either find this out by applying the rise/run formula (rise = 1, run = 2) or you can find 2 coordinate sets to solve for slope. In this case, I'll use (0, 0) and (2, 1). Using the formula y2-y1/x2-x1... 1-0/2-0 = 1/2.Line B's slope is 2. As stated in Line A, you can find this by applying the rise/run formula or using 2 coordinate sets. I'll use the points (0, 0) and (1, 2). Using the formula y2-y1/x2-x1... 2-0/1-0 = 2/1 = 2.Since the question is asking which line has the greatest slope, the line that has the greatest slope would be Line B. (2 > 1/2 > -2)