Answer:
10:17 (girls to total students)
7:17 (boys to total students)
10:7 (girls to boys)
7:10 (boys to girls)
Step-by-step explanation:
The first two terms in an arithmetic progression are -2 and 5. The last term in the progression is the only number in the progression that is greater than 200. Find the sum of all the terms in the progression.
Given:
The first two terms in an arithmetic progression are -2 and 5.
The last term in the progression is the only number in the progression that is greater than 200.
To find:
The sum of all the terms in the progression.
Solution:
We have,
First term : [tex]a=-2[/tex]
Common difference : [tex]d = 5 - (-2)[/tex]
[tex]= 5 + 2[/tex]
[tex]= 7[/tex]
nth term of an A.P. is
[tex]a_n=a+(n-1)d[/tex]
where, a is first term and d is common difference.
[tex]a_n=-2+(n-1)(7)[/tex]
According to the equation, [tex]a_n>200[/tex].
[tex]-2+(n-1)(7)>200[/tex]
[tex](n-1)(7)>200+2[/tex]
[tex](n-1)(7)>202[/tex]
Divide both sides by 7.
[tex](n-1)>28.857[/tex]
Add 1 on both sides.
[tex]n>29.857[/tex]
So, least possible integer value is 30. It means, A.P. has 30 term.
Sum of n terms of an A.P. is
[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]
Substituting n=30, a=-2 and d=7, we get
[tex]S_{30}=\dfrac{30}{2}[2(-2)+(30-1)7][/tex]
[tex]S_{30}=15[-4+(29)7][/tex]
[tex]S_{30}=15[-4+203][/tex]
[tex]S_{30}=15(199)[/tex]
[tex]S_{30}=2985[/tex]
Therefore, the sum of all the terms in the progression is 2985.
What is the value of 72-2[3+2(5-1)]
Answer:
50
Step-by-step explanation:
Already done this
Answer:
50
Step-by-step explanation:
i just simplified the expression
Anamara has 3 cats. She wanst to feed them an equal amount of food. One bag of cat food has 9 grams of food. How many grams will each cats get?
Answer: 3 grams
Step-by-step explanation: Each distribution of food must be equal so divide food by amount of cats which is 3 to get 3
Mathmatically 9/3 = 3 grams
Write the equation in slope- intercept form
4x+2y=12
Thanks!
Answer:
y=-2x+6
Step-by-step explanation:
Find the value of x*
Answer:
8502
Step-by-step explanation:
45930+34729+835029=347230
Please help! I'm not sure on what I do.
Answer:
slope= 6.25
Step-by-step explanation:
the slope represents the meters he travels per second
Answer:
The slope is 0.16
Step-by-step explanation:
You have the run over the rise as a slope equation.
x/y or 5/31.25
The answer to that will be the answer to all of them.
5/31.25=0.16
10/62.5=0.16
15/93.75= 0.16
The rate of change(or slope) is 0.16.
The slope represents time over distance(t/d or x/y) for Oren's 100-meter race.
Samia y su hija fueron a una obra de teatro musical, ella pago $90 por su boleto y $45 por el de su hija. Ese dia el cajerovendio 100 boletos y cuenta con $8190, pero necesita saber cuantos adultos y menores de edad entraron al evento?
Answer:
Al evento entraron 82 adultos y 18 menores de edad.
Step-by-step explanation:
De acuerdo a la información proporcionada, puedes plantear las siguientes ecuaciones:
x+y=100 (1)
90x+45y=8190 (2), donde:
x es el número de adultos
y es el número de menores de edad
Puedes despejar x en (1):
x=100-y (3)
Después, puedes reemplazar (3) en (2):
90(100-y)+45y=8190
9000-90y+45y=8190
9000-8190=90y-45y
810=45y
y=810/45
y=18
Ahora, puedes reemplazar el valor de y en (3) para encontrar x:
x=100-y
x=100-18
x=82
De acuerdo a esto, la respuesta es que al evento entraron 82 adultos y 18 menores de edad.
Approximately what percent of the rectangle below is not shaded?
A 25%
B 50%
C 33%
D 67%
Write the equation of the line that passes through the points (9,8) and (6,3). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
y - 3 = 5/3(x - 6)
General Formulas and Concepts:
Algebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Point (9, 8)
Point (6, 3)
Step 2: Find slope m
Substitute: [tex]m=\frac{3-8}{6-9}[/tex]Subtract: [tex]m=\frac{-5}{-3}[/tex]Simplify: [tex]m=\frac{5}{3}[/tex]Step 3: Write function
Slope m = 5/3
Point (6, 3)
Substitute: y - 3 = 5/3(x - 6)Help please I’ll give you brainlyst
-21, -16, -11, -6, ...
Is this sequence arithmetic, geometric, or neither?
Answer:
Geometric sequence
.Step-by-step explanation:
Geometric sequences are defined by an initial value and a common ratio . If a sequence does not have a common ratio or a common difference, it is neither an arithmetic nor a geometric sequence. You should still try to figure out the pattern and come up with a formula that describes it.
Answer: Neither
Step-by-step explanation:
please anyone??????????
Answer:
D: 85 degrees
Step-by-step explanation:
Four-sided shape degrees add up to 360
85 + 100 + 90 = 275
360 - 275 = 85
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Answer:
answer 85
Step-by-step explanation:
85+100+90=275
360-275 = 85
plus did the question before hope it helps
9th grade math help me please and thank you sosomuch
Answer:
The system is consistent; it has one solution ⇒ D
Step-by-step explanation:
A consistent system of equations has at least one solution
The consistent independent system has exactly 1 solutionThe consistent dependent system has infinitely many solutionsAn inconsistent system has no solution
In the system of equations ax + by = c and dx + ey = f, if
a = d, b = e, and c = f, then the system is consistent dependent and has infinitely many solutionsa = d, b = e, and c ≠ f, then the system is inconsistent and has no solutiona ≠ d, and/or b ≠ e, and/or c ≠ f, then the system is consistent independent and has exactly one solutionIn the given system of equations
∵ -2y + 2x = 3 ⇒ (1)
∵ -5y + 5x = 12 ⇒ (2)
→ By comparing equations (1) and (2)
∵ -2 ≠ -5
∵ 2 ≠ 5
∵ 3 ≠ 12
→ By using the 3rd rule above
∴ The system is consistent independent and has exactly one solution
∴ The system is consistent; it has one solution
Solve the following
equation for X.
3x - 15 = -30
Answer:
X = -5
Step-by-step explanation:
3x - 15 = -30 You want to isolate tha variable
3x= -30+15 Add 15 to -15 in order to get rid of it. All you do to one side you do to the other, so you add 15 to 30
3x= -15
x= -15÷3 Divide x by 3 in order to get rid of the 3. Do it to the other side
x=-5
What is the image point of (-4,2) after a translation left 5 units and down 3
units?
Answer: (-9,-1)
Step-by-step explanation:
Which table correctly converts inches to feet
Answer:
the third table
Step-by-step explanation:
Hope this helps and plz mark as brainliest!
Which fraction has a value that’s equal to7/8? A.49/64
B.56/8. D.15/8
C.22/24
Answer:
a 49/64
Step-by-step explanation:
7/8 multiply 7 ×7 = 49 then 8×8 is 64 so yeah a
Can I get some help? I will be giving brainliest!
Find the slope of each piece of the antler on the graph below. Write answers in the simplest form into the table.
Answer:
1.) slope = 2
2.) slope = [tex]-2\frac{2}{3}[/tex]
3.) slope = [tex]\frac{2}{3}[/tex]
4.) slope = [tex]\frac{1}{4}[/tex]
5.) slope = [tex]1\frac{8}{9}[/tex]
6.) slope = -2
7.) slope = -3
Step-by-step explanation:
In order to find the slope we have to divide they "y" value (the number of units by which the piece of antler goes up) by the "x" value the number of units by which the piece of antler goes to the side). Notice the if the antler moves to the left as it foes up then the "x" value is negative.
Now as I said before we know this......
Let "m" be the slope, then....
[tex]m = \frac{y}{x}[/tex]
So now we just have to plug in the y and x values for each antler and we will get the slopes for each one of them.
1.)
[tex]m = \frac{y}{x}[/tex]
[tex]m= \frac{4}{2}[/tex]
[tex]m = 2[/tex]
2.)
[tex]m = \frac{y}{x}[/tex]
[tex]m = \frac{4}{-1.5}[/tex]
[tex]m = -2\frac{2}{3}[/tex]
3.)
[tex]m = \frac{y}{x}[/tex]
[tex]m = \frac{2}{3}[/tex]
4.)
[tex]m = \frac{y}{x}[/tex]
[tex]m = \frac{1}{4}[/tex]
5.)
[tex]m = \frac{y}{x}[/tex]
[tex]m = \frac{8.5}{4.5}[/tex]
[tex]m = 1\frac{8}{9}[/tex]
6.)
[tex]m = \frac{y}{x}[/tex]
[tex]m = \frac{2}{-1}[/tex]
[tex]m= -2[/tex]
7.)
[tex]m = \frac{y}{x}[/tex]
[tex]m = \frac{3}{-1}[/tex]
[tex]m = -3[/tex]
What is the image of (2,-3) after a reflection over the y-axis?
CORRECT ANSWER GETS BRAINLIEST
What percentage of the block is shaded in?
Answer:
7/10ths
Step-by-step explanation:
There are ten blocks all together, which is where the 10 comes from, there is 7 shaded that is where the 7 comes from.
Answer:
The percentage is 70%.
Step-by-step explanation:
There are 10 spaces total, and 7 are shaded in. 7 divided by 10 is 0.7.
0.7 as a percentage is 70%.
So 70% of the block is shaded in.
A bookstore costs $96 a day to keep open, and it spends $12 for each book that it sells. If each book sells for $18, what is the break-even point
for this bookstore?
Answer: The break even point is when they have sold 16 books and have made $288
Step-by-step explanation: The costs are modeled in the equation y = 12x + 96. x is the number of books sold.
The earnings are modeled by he equation y = 18x.
Substitute 18x for y and solve for x.
18x = 12x + 96 Subtract 12x from both sides.
6x = 96 Divide both sides by 6
x = 16
Substitute into the original equations to solve for y
y = 12(16) + 96
y = 192 + 96
Y = 288
y = 18(16)
y = 288
Answer:
C = 12n + 90
Step-by-step explanation:
Renee spent $15.50 on Amazon today and Alex spent $9.69. How much more did Renee spend than Adam
Answer:
$5.81
Step-by-step explanation:
15.50-9.69=5.81
Answer:
$5.81
Step-by-step explanation:
Subtract. Hope this helped you!! Do you have a calculator
Calculate the frequency of light that has a wavelength of
4.25 x 10^-9m and a velocity of 300 m/s.
Answer:
The velocity of light, v, is the product of its wavelength, λ , and its frequency, f. This means that the wavelength is the velocity, v, divided by the frequency, f.
Wavelength of light = velocity of light / frequency of light
λ = v/f
λ = Wavelength of light, meters
v = Velocity of light (c = 3.0 x 108 m, for speed of light if not otherwise defined)
f = frequency of light, Hz
Step-by-step explanation:
Write the equation for the Graph in Vertex form ( `y=a\left(x-h\right)^{2}`+ k) below by first determining the values of h and k.
List all of the equations, numbers, and units that they gave us? Helppppppp answer this.
Answer:
I this all for the question
I SERIOUSLY NEED THIS NOW- 100 POINTS
(The unanswered question :D)
Answer:
its b i did this before
Step-by-step explanation:
Answer:
The answer will be C.
Step-by-step explanation:
There are 6 red marbles, 5 green marbles, and 4 yellow marbles in a bag. If Joe picks 2 marbles one after the other without replacement, then what is the probability that both are red?
Answer:
2 out of 6
Step-by-step explanation:
if this is wrong try 2 out of 15
PLEASE PLEASE PLEASE HELP ASAP
solve using the elimination process and SHOW ALL STEPS
5x+4y=2
3x+3y=-3
IM LITERALLY BEGGING FORN HELP RN
Answer:
x = 6, y = -7 or (6, -7)Step-by-step explanation:
Given system of equations
5x+4y=2 3x+3y=-3Solving as follows:
Simplify the second equation by dividing all terms by 3
3x+3y=-3 divide by 3⇒ x + y = -1Now, considering the coefficient of x of 5 in the first equation, we will multiply the simplified second equation by 5 and subtract from the first equation:
x + y = -1 multiply by 5⇒5x + 5y = -5Subtract it from 5x + 4y = 2
5x + 4y - 5x - 5y = 2 - (-5)-y = 7y = -7Finding x using simplified second equation:
x + (-7) = -1x = - 1 + 7x = 6Answer is (6, -7)
What is 12p+3q−5−5q−8p written in simplest form?
Answer:
C.
Step-by-step explanation:
Which matrix represents the system of equations shown?
Answer:
b.
by relation
[tex] \binom{3x \: \: - 2y \: \: 12}{4x \: \: \: \: - y \: \: \: \: \: 9} \\ eliminate \: the \: unknowns \: (x \: and \: y) \\ \binom{3 \: \: - 2 \: \: 12}{4 \: \: \: \: - 1 \: \: \: \: \: 9} [/tex]
f(x) = 2x² + x – 4
Find f(-10)
NEED IT FAST
Answer:
[tex]f(-10)=186[/tex]
Step-by-step explanation:
We can use substitution to find the value of [tex]f(-10)[/tex].
[tex]f(x) = 2x^2+x-4[/tex]
[tex]f(-10) = 2(-10)^2-10-4[/tex]
[tex]=200-10-4[/tex]
[tex]=186[/tex]
∴ [tex]f(-10) =186[/tex]
Hope this helps :)
Answer:
The value of f(-10) is equal to 186.
Step-by-step explanation:
We are given the function:
[tex]f(x) = 2x^2 + x - 4[/tex]
We are told to find the value of:
[tex]f(-10)[/tex]
If we pay close attention, we can see a transition between:
[tex]f(x) \rightarrow f(-10)[/tex]
We have turned x into -10, making x = -10.
Therefore, we can change the value of x in the entire function to -10.
[tex]f(-10)=2(-10)^2+(-10) - 4\\\\f(-10) = 200 - 10 - 4\\\\f(-10) = 186[/tex]
Therefore, f(-10) = 186.