Answer: A=750 +75*t
B=900 +25*t
There would be 975 students in each high school in year 3 when they are expected to have the same number of students.
Step-by-step explanation:
A = B
750 +75*t=900 + 25*t
Solving:
75*t -25*t= 900 - 750
50*t= 150
t=3
This indicates that in year 3 both High Schools are projected to have the same number of students. To get that amount, you simply replace this value in the expressions:
A=750 +75*t= 750 +75*3= 975
B=900 + 25*t=900 + 25*3= 975
There would be 975 students in each high school in year 3 when they are expected to have the same number of students.
Does anyone know what 9x*3x/4 is?
Answer and Step-by-step explanation:
We are given the expression [tex]\frac{9x * 3x}{4}[/tex].
First, we need to multiply 9x by 3x. This results us with [tex]27x^2[/tex].
[tex]\frac{27x^2}{4}[/tex] -- This is the final expression simplified. There isn't anything else we can do this expression, as it is not factorable and can't be simplified any further.
#teamtrees #PAW (Plant And Water)
Helpppppppppppppppp:(
Use the function below to find F(2)
F(x)=1/3•4^x
Answer
The answer is 16/3
Step-by-step-explain
F(x) = ⅓ • 4ˣ, F(2)
F(2) = ⅓ • 4²
F(2) = ⅓ • 16
F(2) = 16/3
Thus, The answer is 16/3
-TheUnknownScientist
Answer:
Step-by-step explanation:
16/3
I hope it's helpful
answer? i rlly dont know
Answer:
C
Step-by-step explanation:
i am smart
The sum of 5 times a larger number and twice a smaller is 5. The difference of 4 times the larger and the smaller number is 4. Find the numbers.
Answer:
1 and 0
Step-by-step explanation:
Let's call the smaller number x and the larger number y.
This means 5y+2x=5.
Also, 4y-x=4.
This is a system of equations. There are two main ways two solve this.
Method 1: Substitution
5y+2x=5
4y-x=4
Solve for one of the variables, then substitute it back into one of the equations to solve for the other variable.
I will take 4y-x=4 and solve for x.
4y=4+x
x=4y-4
Then substitute for x in the other equation and solve for y.
5y+2x=5
5y+2(4y-4)=5
5y+8y-8=5
13y=13
y=1
Now we can go back to our equation for x and substitute for y.
x=4y-4
x=4(1)-4=0
y, the larger number, is 1 and
x, the smaller number, is 0
Method 2: Elimination
5y+2x=5
4y-x=4
Change the equations so that the coefficient of one of the variables in an equation is opposite the one in the other equation. Then add the equations and solve for each variable.
If I multiply both sides of the second equation, 4y-x=4, by 2, the coefficient of x will become -2. In the first equation, the coefficient is 2, so they will become opposites.
4y-x=4
becomes
8y-2x=8
Now we have 5y+2x=5 and 8y-2x=8.
Add the sides of both equations to cancel the x values.
5y+2x+8y-2x=5+8
13y=13
y=1
like last time, we can substitute for y in any of the original equations to get x.
5y+2x=5
5(1)+2x=5
5+2x=5
2x=0
x=0
y, the larger number, is 1 and
x, the smaller number, is 0
what is the slope of the line that passes through points (-4,9) and (6,12)
Answer:3/10 or 0.3
Step-by-step explanation:
y2-y1/
x2-x1
12-9/6--4
3/10
or 0.3
slope=3/10 or 0.3
Please help me with this question
Answer:
I think B .......................................
Calculate the average rate of change for the graphed sequence from n = 2 to n = 4.
(2 points)
Answer:
-3.3125[tex]\frac{-10.125-(-3.5)}{4-2} =\frac{-6.625}{2} = -3.3125[/tex]
Step-by-step explanation:
Average rate of change is the slope between two points.
Slope getween points [tex]\left(x_1,\,y_1\right)[/tex] and [tex]\left(x_2,\,y_2\right)[/tex] is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
Using the points (2, -3.5) and (4, -10.125), the slope is
perpendicular sides mean plz
Answer:
lines that will never touch
Step-by-step explanation:
these are lines that you could keep drawing and they will never cross or touch
The given line passes through the points (0, ) and (2, 3). On a coordinate plane, a line goes through (0, negative 3) and (2, 3). A point is at (negative 1, negative 1). What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (-1,-1)?
Answer:
1st answer i think
Step-by-step explanation:
9
GUEST, GUEST
A rental car company has a linear pricing plan. The total cost, C, to rent a car for 2, 4, 6, and 10 days, d, is shown.
Days Total Cost
(d) (C)
2. $105
4 $195
6 $285
10 $465
A. What is the daily rate for the pricing plan?
B. Write an equation that represents the pricing plan.
Activate Windows
Go to Sunos toctivate Window
A.
10:53 AM
4/16/2021
SA
B.
O
Answer:
$45
y = 45x + 15
Step-by-step explanation:
Given :
Days Total Cost
(d) (C)
2. $105
4 $195
6 $285
10 $465
The daily rate is the slope :
Slope = Rise / Run
Slope = (y2 - y1) / (x2 - x1)
Slope = (465 - 105) / (10 - 2)
Slope = 360 / 8
Slope = 45
Daily rate = $45
Using the slope intercept relation :
y = mx + c
m = slope, c = intercept
105 = 45x + c
105 = 45(2) + c
105 = 90 + c
105 - 90 = c
15 = c
Pricing plan :
y = 45x + 15
Answer is 45 because if you divide 90/2 it equal 45
C=45d+15
At the Charming Chair Factory, they make 20 chairs
per day when 5 workers are on duty. If they need to
make ioo chairs in one day, what equation should
they use to figure out how many workers to schedule?
Answer:
100÷(20÷5)
Step-by-step explanation:
first find out how many chairs each worker made
20÷5=4
then divide 100 by 4 and that will give you 25
they would need 25 workers the equation that they should use is
100÷(20÷5)
The graph for the equation Y = -X+2 is shown below. If another equation is graphed so that the system has an infinite number of solutions, which equation could that be
1. y=-2(x-1)
2.y=-(x+2)
3.y=-1/4(4x-8)
4.y=-1/2(x+4)
Answer:
3.
Step-by-step explanation:
X+2=-1/4(4x-8)
x+2=-x+2
0=0
Helpp!!
Instead of dividing $15.00 by 2 1/2, double both numbers and then find the quotient.
Answer:
6
Step-by-step explanation:
HELP I need the know if it's going across the y or going across the x don't send no FILE ONLY ANSWER IF YOU REALLY KNOW question 3, 5 is what I need help on btw !!
Answer:
Step-by-step explanation:
Question 3 Reflects over x acis
Question 5 reflects over y axis
Answer:
i think 3 is reflected across the x and 5 is reflected across the y axis
If mL DOC = 44º and mL COB = 80°,
find the measure of the indicated arc
in circle o.
D
с
O
E
B
mDB = [?]°
Answer:
124°
Step-by-step explanation:
measure of arc DC = 44 because the measure of central angle equals the measure of its arc.
measure of arc CB = 80 because the measure of central angle equals the measure of its arc.
measure of arc DC = measure of arc DC + measure of arc CB
= 44 + 80 = 124°
Please help me with this
Answer:
Below, and I hope that this helps you.
Step-by-step explanation:
So you see that it says Find the probability that the sum on the two dice is 4 given that the sum is even. So that means that it would be 2 dices that have rolled a 4 and the equation would be 2×4= 8, So that means that you want to write the answer which is 8 in a fraction, and 8 in a fraction is 8/1
Which expression is equivalent to the expression for the perimeter of the larger garden. Select all the apply.
Answer:
Option A, 4X + 40 expression is equivalent to the expression for the perimeter of the larger garden
Step-by-step explanation:
The complete question is
A garden is 15 feet long by 5 feet wide. The length and width of the garden will each be increased by the same number of feet. This expression represents the perimeter of the larger garden: (x+15)+(x+5)+(x+15)+(x+5). Which expression is equivalent to the expression for the perimeter of the larger garden? Select all that apply.
4x+40 2(2x+20) 2(x+15)(x+5) 4(x+15)(x+5) 2(x+15)+2(x+5)Solution
The expression for the perimeter of the larger garden: [tex](x+15)+(x+5)+(x+15)+(x+5)[/tex]
If the given expression is expanded and solved, we get the following
[tex](x+15)+(x+5)+(x+15)+(x+5)\\X+X+X+X + 15+15+5+5\\2X+2X+30+10\\4X +40[/tex]
Hence, option A is correct
can anybody help me in this
Answer:
a) I donot agree with him because as we see the sequence nicely we will find an interval of 8 between any two terms and 32 and 33 don't match them
Step-by-step explanation:
b) and c) Solution:
Given,
First term (a) = 4
Common difference (d) = 12-4 = 8
Now,
Since, they are in A.P.
nth term = a + (n-1)d
= 4 + 8(n-1)
= 4 + 8n-8
= 8n-4
Again,
1st method for c)
100th term = a + 99d = 4 + 99*8 = 4 + 792 = 796
200th term = a + 199d = 4 + 199*8 = 4 + 1592 = 1596
2nd method for c)
100th term = 8*100 - 4 = 800 - 4 = 796
200th term = 8*200 - 4 = 1600 - 4 = 1596
Angle JKL and angle MKQ are complementary angles. The measure of angle JKL is twice the measure of angle MKQ
Answer:
Solution given:Angle JKL and angle MKQ are complementary angles. The measure of angle JKL is twice the measure of angle MKQ
<JKL=2<MKQ
we have
<JKl+<MKQ=90°[complementary]
2<MKQ+<MKQ=90°
3<MKQ=90°
<MKQ=90°/3=30°
and <JkL=2×<MKQ=2×30°=60°
A recipe calls for 2 cups of milk for 8 pancakes. To use this recipe to make 16 pancakes, how many cups of mik are needed?
Answer:
4 CUPS OF MILK
Step-by-step explanation:
2 cups of milk=8 PANCAKES
2 X
8 16
16X2=32
32/8= 4
State whether the Standardized test statistic T indicates that you should reject the null hypothesis explain a)t=-2.146 b)t=2.014 c)t=2.128 d)t=-2.146
Answer:
[tex](a)\ t = -2.146[/tex]
The null hypothesis is rejected
[tex](b)\ t = 2.014[/tex]
The null hypothesis is accepted
[tex](c)\ t = 2.128[/tex]
The null hypothesis is accepted
[tex](d)\ t = -2.146[/tex]
The null hypothesis is rejected
Step-by-step explanation:
Given
[Missing from the question]
[tex]\alpha = -1.001[/tex] --- critical value
Left tailed test
Required
State what the standardized test statistics indicates
Since it is a left-tailed test, the null hypothesis will be rejected if the standardized test statistics less than or equal to the critical value
Using the above rule, we have:
[tex](a)\ t = -2.146[/tex]
Compare t and [tex]\alpha[/tex]
[tex]-2.146 < -1.001[/tex]
The null hypothesis is rejected
[tex](b)\ t = 2.014[/tex]
Compare t and [tex]\alpha[/tex]
[tex]2.014> -1.001[/tex]
The null hypothesis is accepted
[tex](c)\ t = 2.128[/tex]
Compare t and [tex]\alpha[/tex]
[tex]2.128> -1.001[/tex]
The null hypothesis is accepted
[tex](d)\ t = -2.146[/tex]
Compare t and [tex]\alpha[/tex]
[tex]-2.146 < -1.001[/tex]
The null hypothesis is rejected
solve each equation using the substitution method.
42=3p
Answer:
14
Step-by-step explanation:
42=3p
42/3=3p/3
14=p
Is the relationship linear, exponential, or neither?
78-[5+3 of (25-20)]
can you please help me solve this?
Answer:
38
Step-by-step explanation:
➜78-[5+3×(25-20)]
➜78-[8(5)]
➜78-40
➜38
Natalie and Rick are both at the supermarket today. Natalie goes to the supermarket every 6 days and Rick goes every 9 days. In how many days will they both be at the supermarket again?
Answer:
18 days later.
Step-by-step explanation:
Rick would have gone to the supermarket twice, and Natalie would have gone three times.
How many solutions does this system have?
y=3/4x-5
-3x+4y=-20
O one
O two
an infinite number
O no solution
Answer:
Infinite number
Step-by-step explanation:
Construct a circle and divide it into six congruent arcs. Inscribe an equilateral triangle. Draw diameters from each vertex of the triangle > Inscribe a circle in the triangle. (Hint: the inscribed circle will have the same center as the original circle.) ► Inscribe an equilateral triangle in the second (smaller) circle, with endpoints on the diameters previously drawn. Shade to highlight the pattern.
Jenny used plastic cone shaped cups to serve punch. The cups were 6 inches in diameter and inches tall. What was the volume of each cup?
Answer:
47.14 in³
Step-by-step explanation:
Here is the complete question
Jenny used plastic cone shaped cups to serve punch. The cups were 6 inches in diameter and 5 inches tall. What was the volume of each cup?
Volume of a cone = [tex]\frac{1}{3}[/tex]πr²h
π = 22/7
Radius = diameter / 2 = 6 /2 = 3 inches
(1/3) x (3^2) x (22/7) x 5 = 47.14 in³
ace or expert pls help is this right
In the image provided by you, it is asked that, what percentage of the individuals rode the Ferris Wheel and not the roller coaster?
____________________Solution :-Given Information :-Individuals who rode both roller coaster and Ferris Wheel ➢ 46Individuals who rode Ferris wheel but not the roller coaster ➢28Individuals who rode roller coaster but not the Ferris wheel ➢24 Individuals who neither rode roller coaster nor the Ferris wheel ➢ 14Total Number of Individuals who rode roller coaster ➢ 70Total Number of Individuals who rode the Ferris Wheel ➢74Total Number of Individuals who did not ride roller coaster ➢ 42Total Number of Individuals who did not ride the Ferris wheel ➢38Total Number of Individuals who went to amusement park ➢ 112To Find :-Percentage of Individuals who rode Ferris wheel but not the roller coaster. Formula Used :-Percentage of Individuals who rode the Ferris Wheel but not the roller coaster =[tex] \sf \frac{individuals \: who \: rode \:the \: ferris \: wheel \: but \: not \: roller \: coaster }{total \: number \: of \: individuals \: who \: went \: to \: amusement \: park} [/tex]
Calculation :-Substituting the values given in the formula, We get,
⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{individuals \: who \: rode \:the \: ferris \: wheel \: but \: not \: roller \: coaster }{total \: number \: of \: individuals \: who \: went \: to \: amusement \: park} [/tex]
⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{28 }{112} [/tex]
Calculating further, We get,
⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{1 }{4} [/tex]
Now, to convert any fraction into percentage, We multiply it by 100, We get,
⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{1 }{4} \times 100 [/tex]
Calculating further, We get,
⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \bf 25\% [/tex]
____________________Final Answer :-Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = 25%Therefore, option A. 25% is the correct answer.____________________Note :-Please scroll from right to left to see the whole solution.