A school chorus has 80 sixth-grade students and 66 seventh-grade students. The music director wants to make groups of performers with the same combination of sixth- and seventh- grade students in each group. She wants to form as many group as possible. If that many groups are formed, how many students of each grade level would be in each group?
Answer:
The music director can make 15 groups of performers with 6 sixth grade students and 5 seventh grade students in each group.
Step-by-step explanation:
A school chorus has 90 sixth-grade students and 75 seventh-grade students.
Factor these two numbers:
Find GCF(90,75):
Now,
Therefore, the music director can make 15 groups of performers with 6 sixth grade students and 5 seventh grade students in each group.
hope i helped!
A home was purchased in 1985 for $125,000. If the value of the home increased 2.5% each year, what would be the value of the house by 2025? Round to the nearest whole number.
Answer: $335,633
Step-by-step explanation:
First find the number of years difference:
= 2025 - 1985
= 40 years
Use the compound interest formula to find the answer:
= Value * ( 1 + rate) ^ no. of years
= 125,000 * ( 1 + 2.5%)⁴⁰
= $335,633
Which graph matches the function represented by the table?
work out the following,giving your answers in their simplest form:a)3/11 divide 3/11 b)9/10 divide 3/5
Answer:
Step-by-step explanation:
o
Which method would be the best to solve the following system of equations?
Answer:
Graphing the equations and seeing where they intersect. Use DEMOS Graphing Calculator off of the internet. It works great. I even use it to check my work when I use algebra
This method also works well with quadratics and lines
Step-by-step explanation:
whats the distance given between (-4,1) and (2,0)
Answer:
√37
Step-by-step explanation:
Label ABC with the following information.
BC = 38
AC = 50
Find m/C.
Circle A has center of (6, 7), and a radius of 4 and circle B has a center of (2, 4), and a radius of 16.
Answer:
See solutions below
Explanation
We are to find the equation of circle A and B
The equation of a circle is expressed as;
(x-a)^2 + (y-b)^2 = r^2
(a, b) is the centre and r is the radius
For Circle A that has center of (6, 7), and a radius of 4
Substitute;
(x-6)^2 + (y-7)^2 = 4^2
(x-6)^2+(y-7)^2 = 16
Hence the equation of circle A is (x-6)^2+(y-7)^2 = 16
For circle B:
If circle B has a center of (2, 4), and a radius of 16
The equation is expressed as;
(x-2)^2+(x-4)^2 = 16^2
(x-2)^2+(x-4)^2 = 256
Hence the required equation is (x-2)^2+(x-4)^2 = 256
HELP PLEASE ANSWER I"LL PICK BRAINLIEST
Answer:
194527.41792
Step-by-step explanation:
Volume for each rod: 1130.97336
Multiply the volume by 172:
1130.97336 x 172 = 194527.41792
And that's your answer
I need Help please!!
Answer:
y intercept is 10
Step-by-step explanation:
We want to factor the following expression:
(x - 1)2 + (x - 1) + 4
Which pattern can we use to factor the expression?
U and V are either constant integers or single-variable expressions.
Answer:
3x-3+4=3x+1
2x-2+x-1+4=
6. The total cost of materials to build the foam
pit is $1,285.20. What is the cost of materials
per square foot?
Answer:
Cost of Material per square foot = $1.7
Step-by-step explanation:
Given:
Length = 24
Width = 12
Height = 6.5
Find:
Cost of Material per square foot
Computation:
TSA of pit = 2[bh + hl] + lb
TSA of pit = 2[(12)(6.5) + (24)(6.5)] + (24)(12)
TSA of pit = 2[78+156] + 288
TSA of pit = 756 square foot
Cost of Material per square foot = 1,285.20 / 756
Cost of Material per square foot = $1.7
Which answer represents 81,020,000,000 in scientific notation?
OA)
9
81.02 X 10
W
ОВ)
10
8.102 x 10
OC)
9
8.102 x 10
OD)
11
0.8102 x 10
Answer:
The answer is: 8.102×10^10
stats. can someone help?
Answer:
you should try picto math it very helpful!
Step-by-step explanation:
Please help!
The illustration below shows the graph of y as a function of x.
Complete the following sentences based on the graph of the function.
- As x increases, y _______ (increases/decreases).
- The rate of change for y as a function of x is not __________ (constant/constant), therefore the function is ________ (linear/nonlinear).
- For all values of x, the function value y ___ (≤/≥/=) 0.
- The y-intercept of the graph is the function value y = ____.
- When x = 1, the function value y = ___.
Answer:
As "x" increases "y" *decreases*
y as a function of x is not *constant*
Therefore the function is *nonlinear*
For all values of x, the function value y *≥* 0.
The y intercept of the graph is *8*
x=1 function value of y is *5*
YOU GET 100 POINTS!!!! Select the correct graph.
Based on the end behaviors, which graph is the graph of f(x) = -2x4 − 4x3 + x2 + x + 3?
Given:
The function is
[tex]f(x)=-2x^4-4x^3+x^2+x+3[/tex]
To find:
The graph of the function by using the end behaviors.
Solution:
We have,
[tex]f(x)=-2x^4-4x^3+x^2+x+3[/tex]
The degree of the polynomial is 4 which is even and the leading coefficient is -2, which is negative. So,
[tex]f(x)\to -\infty\text{ as }x\to -\infty[/tex]
[tex]f(x)\to -\infty\text{ as }x\to \infty[/tex]
It means, the graph of the function approaches to negative infinity on the both ends.
Therefore, the correct option is C.
find f(-5) plzzz and thank u
Answer:
A = -17
Step-by-step explanation:
F(5) = -4(5) + 3
F(5) = -20 + 3
F(5) = -17
Answer:
D. 23
Step-by-step explanation:
f(-5) = -4(-5) + 3
= 20 + 3
= 23
therefore f(-5) is 23
Jan rode to her friend's house with a constant speed of 14 m/hr. How long will she take to
travel the 15 miles there?
Answer:
1.07 hours
Step-by-step explanation:
14 miles = 1 hour
15 miles = x hours
Equal these two together
14 mi/1hr = 15 mi/xhr
Cross multiply
14 mi × x hr = 1 hr × 15 mi
I will stop using the units for now so it won't be as confusing
14x = 15
Divide both sides by 14 to isolate the variable
14x ÷ 14 = 15 ÷ 14
x = 1.07... hours
ANSWER ASAPPP In 2000, the population of St. Louis was 346,904, and it decreased to 319,257 in 2010. If this population decrease were modeled by an exponential decay function, what value would represent the y-intercept? Explain your reasoning.
The y-intercept should be ________. This is the population for the ______(first/last( known year of data. The year ______________ acts as 0 on the graph of the exponential function.
Answer:
The y-intercept should be 346,904. This is the population for the first (first/last( known year of data. The year 2000 acts as 0 on the graph of the exponential function.
Step-by-step explanation:
I just did it on my homework and it said that my answer is right
A parallelogram whose sides are all the same length
Answer:
a square
Step-by-step explanation:
a square is a parallelogram whose sides are all the same length
Answer:
square
Step-by-step explanation:
a square has 4 sides with all the same length
HELP PLEASE solve the following equation for x. 9-x/2+2=
SHOW WORK
Answer:
9+2=x/2
11=x/2
11×2=x
x=22
I need to know X for 8 and 10 if u feel like it. PLS
Answer:
8) x=9
10) 23 degrees
Step-by-step explanation:
8) vertical angles are congruent to each other so we can set the expressions as such and solve:
7x + 3 = 10x - 24
3 = 3x - 24
27 = 3x
9 = x
10) since the angles are complementary they equal 90 degrees, so we can set the expression like this and solve for x:
12x + 7 + 6x - 7 = 90
18x + 7 - 7 = 90
18x = 90
x = 5
now we plug it back into the expression equivalent to the measure of angle O:
6(5) -7
30 - 7
23 degrees
Solve the equation for z.
—8=—3/2 z
Answer:
[tex]\bold{z=-5\frac13}[/tex]Step-by-step explanation:
[tex]-8=-\frac32z[/tex] {swap sides}
[tex]-\frac32z=-8[/tex] {divide both sides by (-³/₂)}
[tex]z=-8\div(-\frac32)\\\\z=-8\times(-\frac23)\\\\z=-\frac{16}3=-5\frac13[/tex]
EXPLAIN how you would graph the line y = 1/3x + 5
Answer:
Okay so this is the best way to explain it, its already in y=mx+b form which is the easiest way to graph something, its where m= slope and b=the y-intercept so 1/3 is m so the slope is 1/3 but first we need to mark the y coordinate which is 5, so on your graph dot (0,5) then from that go up 1 and right 3 then that should be your graph!!! I've included pictures to help you know what it should look like.
Step-by-step explanation:
Please look at pictures below!! This is the best explanation i could give, Hope this helps!!!
A square has an area of 12x^2 square feet. What is the length of its sides?
I need an answer for this
Answer:
Step-by-step explanation:
18+12+9
Answer:
756 cm^2
Step-by-step explanation:
9 x 12 = 108 triangles
9 x 18 = 162 back side
9^2 + 12^2 = c^2
9^2 + 12^2 = 225
9^2 + 12^2 = 15^2
length of the hypotenuse is 15 so
15 x 18 = 270 slanted top
18 x 12 = 216 bottom
216 + 270 + 162 + 108 = 756 cm^2
Almonds cost $12 per 3 pounds. How many pounds can I buy with $20?
Answer:
6 pounds
Step-by-step explanation:
Answer:
5 pounds
Step-by-step explanation:
12 divided by 3 = 4
20 divided by 4 = 5
Gary sold souvenirs at a fair for four days. He made this table to show how much of his total merchandise he sold each day. What percent of Gary’s merchandise had he NOT sold after all four days?
Answer:
Step-by-step explanation:
Someone answer this question please I need help to!
Peter has to spend $9000 on expenses each year. If that amount of money is 60% of his salary, then how much money does Peter make working as an administrator per year?
Answer:
Step-by-step explanation:
9000 is 60% of what number?
9000=0.6*X
9000/0.6=X
X=$15000
Solve for n.
4/44 = n/77
A. n = 4
B. n = 28
C. n = 264
D. n = 7