The total number of sixth-grade students at Escobar Middle School is 400 students
What is Percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
Given data ,
Let the total number of students in sixth grade = x
5 % of sixth grade students is = 20 students
So ,
We need to calculate the total 100 % students in the sixth-grade
And ,
10 % of sixth-grade students = 2 x 5 % of sixth grade students
= 2 x 20 students
= 40 students
Now ,
100 % of sixth-grade students x = 10 x 10 % of sixth-grade students
= 10 x 40 students
= 400 students
Therefore , there are 400 students
Hence , the total number of sixth-grade students is 400 students
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What is the equation of the line that passes through the points (4, 5) and (7, 3)
Answer:
y = -2/3x + 23/3
Step-by-step explanation:
Let equation of the line be y = mx + c
m = (3-5)/(7-4) = -2/3 gradient/slope formula
sub (4, 5)
5 = -2/3 (4) + c
c = 23/3
therefore, equation of the line is y = -2/3x + 23/3
Hope it helps! :)
This is a topic called coordinate geometry. If you would like to find out more you can follow learntionary on instagram. I'll be posting some notes on coordinate geometry soon and I'll also post other useful math stuff as well :)
Which ordered pair is a solution of the equation -4x + 7 = 2y - 3
Answer:
(0,5) (1,3) (2,1)
Step-by-step explanation:
Identify the independent variable (domain).
5x+2y= 150
Answer:
The independent variable is x
Step-by-step explanation:
In the equation y = m x + b
m is the rate of change ⇒ constantb is the initial value ⇒ constantx is the domain ⇒ inputy is the range ⇒ outputx is the independent variable because it does not depend on any value
y is the dependent variable because it depends on the value of x
Let us solve the question
∵ 5x + 2y = 150
→ Put it in the form above by subtracting 5x from both sides
∵ 5x - 5x + 2y = 150 - 5x
∴ 2y = 150 - 5x
→ Divide each term by 2 to make the coefficient of y equal 1
∴ y = 75 - 2.5x
∴ y = -2.5x + 75
→ Compare is by the form above
∴ m = -2.5 and b = 75
∴ x is the independent variable (domain)
∴ y is the dependent variable (range)
Graph the equation y= -1/2x
The graph of equation y = - 1/2x is shown in attached image.
We have to given that,
Equation is,
⇒ y = - 1/2x
Since, The equation of line in slope intercept form is,
y = mx + c
Where, m is slope and c in y - intercept.
Here, equation is,
y = - 1/2x
Hence, It is passes through origin.
Therefore, The graph of equation y = - 1/2x is shown in attached image.
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Wendell would like to make some chocolate chips cookies. His recipe calls for the use of 1/2 cups of sugar per batch.he has 3 1/4 of sugar in his apartment. Accidentally, drops 1 cup of sugar on the floor. How many whole batches of sugar cookies can he make with the sugar he had leftover
Answer:
He can make 4 batches of sugar cookies.
Step-by-step explanation: 4x1/2=2 and because he lost 1 cup, he only has 2 cups left
what are the solutions of the following system?
[tex]\left \{ {{x -2y = -6} \atop {-2x + 4y = -3}} \right.[/tex]
Step-by-step explanation:
x-2y=-6 ...(1)
-2x+4y=-3 ...(2)
Multiply equation (1) by 2
So,
2x-4y=-12 ...(3)
Now add equation (2) and (3).
-2x+4y + 2x-4y = -3+(-12)
0=-15
It means that there is no solution of the given equations.
A building 350 feet tall casts a shadow 1/2 mile long. How long is the shadow of a person five feet tall?
Answer:
37.7 feet
Step-by-step explanation:
1/2 mile is 2,640.. which you would do 2,640 ÷ 350 and it will give you some number... now with that number you would multiply that with 5.
The manufacturers of can of salted mixed nuts state that the ratio of peanuts to other nuts is 6 to 5 . If 414 peanuts are in a can how many other nuts should also be in the can
Answer:
345 other nutsStep-by-step explanation:
Ratio problem, we are going to use the part to all approach
Step one:
given data
the ratio of peanuts to other nuts is 6 to 5
otherwise expressed as 6:5
the total ratio is 6+5= 11
the total number of peanut is 414
let the other nuts be x
6/5=414/x
cross multiply we have
414*5= 6x
2070=6x
divide both sides by 6
x=2070/6
x=345
345 other nuts
Evaluate: 5m when m=8
FAST AND HURRY!!
Answer:
40
Step-by-step explanation:
If m = 8, then you would multiply 5 by 8
So the answer is 40
Hope this helps :)
Answer:
5m when m = 8 is 40
Step-by-step explanation:
When you substitute (replace) m with 8, it becomes 5(8).
5(8) means 5 multiplied by 8, which gives you 40.
To check, dividing 40 by 5 is 8. Dividing 40 by 8 is 5.
Hope this helped! :)
On a map, the distance between NY and Washington D.C. is 3.6 inches. The scale is 1 inch: 55 miles. What is the actual distance between the two cities?
3x²+5x-10=0 find the values of a,b and c
Answer:
a = 3
b = 5
c = -10
Step-by-step explanation:
ax^2+bx+c
There were 12 girls 9n the basketball team. 3 of them scored over 10 points in the game. What fraction represents the number of the girls on the team that scored over 10 points on the game?
Answer:
1/4
Step-by-step explanation:
i know
givin the standard form for a trinomial ax^2+bx+c, and factored form (px+r)(qx+s) match the following:
a=
b=
c=
to
(p*s)+(q*r)
r*s
p*q
Answer:
[tex]a = p*q\\b = (p*s)+(q*r)\\c = r*s[/tex]
Step-by-step explanation:
We are given the standard form of trinomial
[tex]ax^2+bx+c[/tex]
After factorization, the form is:
[tex](px+r)(qx+s)[/tex]
We have to compare the factored form and the standard form to find the values of a,b and c in terms of p,q,r and s. For this purpose, the factored form will be converted into standard form.
Multiplying the both factors
[tex](px+r)(qx+s)\\=px(qx+s)+r(qx+s)\\= pqx^2+psx+qrx+rs\\= pqx^2+(ps+qr)x+rs[/tex]
Comparing both forms with each other
After comparing
[tex]a = pq = p*q\\b = ps+qr = (p*s)+(q*r)\\c = rs = r*s[/tex]
Hence,
[tex]a = p*q\\b = (p*s)+(q*r)\\c = r*s[/tex]
Jackie rode her bike around McAllister Park last week. The trail is 8.54 miles long. If she rode around the park 4 times last week, how many miles did she travel in all?
Answer:
34.16 Miles Traveled
Step-by-step explanation:
If she rode around the 8.54 mile park four times you would multiply four by 8.54 to get your answer. Hope this helps!
What is 15% of 140? A.2,100 B.30 C.21 D.119
Answer:
21
Step-by-step explanation:
u do 140 divided by .15
Brinlyn increased the amount of water she drank per day from 32 oz to 40 oz. By what percentage did Brinlyn increase the amount of water she drank each
day?
Answer:
20%
Step-by-step explanation:
simplify by using distributive property
3+11(2c+3)
Answer:
22c+36
Step-by-step explanation:
3+11(2c+3)
3+22c+33
3+33+22c
36+22c or 22c+26
Hey there!
In order to simplify this expression, all we have to do is distribute 11 by multiplying it times 2c and 3 and then combining like terms,
3+22c+33
As you can see, 3 and 33 are like terms; in order to simplify the expression, we should add them together.
36+22c
or
22c+36
Hope everything is clear.
Let me know if you have any questions!
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[tex]\rm{Emotional~Helper}[/tex]
which set of the numbers is equivalent to 75%? (0.75 3/5), (7.5 75/100), (3/4 0.075), (15/20 0.75)
Answer:
0.75
Step-by-step explanation:
it has to be 0.75 because to make a percentage you move decimal to the left twice and its a %. But i am sorry i do not know the second one, maybe someone else can help :)
Answer:
75.0
Step-by-step explanation:
find y when y = 3x^2 -2x+5 and x = -1
Answer:
the answer is y=10
11. How much did the engineering project change the vertical height of the tower? Did the height increase or decrease? Explain how you found the amount of change. Give your answer in centimeters, rounded to the nearest centimeter. (4 points: 2 points for the change in height, 2 points for the explanation)
Answer:
when you find out let me know pls. thanks.
have a great day and good luck
Step-by-step explanation:
Oliver earns $4 a day for 7 days for doing chores. Each day, his mom takes $2 and put it into a savings account for Oliver. How much money does Oliver get to keep after 7 days?
Answer:
$14
Step-by-step explanation:
Oliver earnings per day = $4
Each day, his mom takes $2 and put it into a savings account for Oliver
His savings per day = $2
Oliver's total savings after 7 days = savings per day × 7 days
= $2 × 7
= $14
Oliver gets to keep a total of $14 after 7 days
The cost for each soda is $2.25. If your friend Calvin buys a certain number of Coca-Colas (c) and Mountain Dews (m), which answer choice shows an expression that represents the total cost of the Coca-Colas and Mountain Dews that Calvin bought?
Answer:
2.25(c+m)
Step-by-step explanation:
PLEASE HURRY!! Will give brainly
Find the slope and y intercept for y = 3x - 2.
A two umn table with 5 rows. The first column, x, has the entries, negative 2, 0, 2, 4. The second column, y, has the entries, 6, 3.5, 1, negative 1.5. Which equations represent the data in the table? Check all that apply
Answer
A.y-6=-5/4(x+2)
D.y-1=-5/4(x-2)
E.y-3.5=-1.25x
Step-by-step explanation:
The equation which represents the data values given in the table written in slope - intercept form is y = - 1.25x + 3.50
The data given :
X ____ Y
-2 ____ 6
0 ____ 3.5
2 ____ 1
4 ____ - 1.5
We could represent the equation in the form :
y = bx + cb = slope = Rise / Run
b = slope = Rise / Run c = intercept
From the table :
Slope = (y2 - y1) ÷ (x2 - x1) = (6 - (-1.5)) / (-2 - 4) = 7.5/-6 = -1.25
Using any pair of (x, y) values, we can obtain the intercept value :
Using ; (2, 1)
1 = -1.25(2) + c
1 = - 2.50 + c
1 + 2.50 = c
c = 3.50
Therefore, the equation becomes ; y = - 1.25x + 3.50
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Kathryn owns a video store. She rents games for 4 and moves for 4 She must rent at least 84 to make a profit She does not have anymore than 20 games Write and solve the system
Answer:
Katherine will rent at least 64 movies and 20 games to make a profit
Step-by-step explanation:
The given parameters are;
The amount for which she rents games = 4
The amount for which she rents movies = 4
The number of games and movies she most rent to make profit = 84
The number of games she ≤ 20
Let x represent the number of games, let y represents the number movies, we have;
x + y ≥ 84
x ≤ 20
64 ≤ y ≤ 84
The graph of the inequality created with Microsoft Excel showing the feasible region is included
Find the area of the trapezoid.
Answer:
b
Step-by-step explanation:
i took that test a while back.
Express the recurring decimal 0.56 (Just the 6 is recurring) in its simplest form.
Answer:
17/30 17 over 30
Step-by-step explanation:
Answer:
17/30
Step-by-step explanation:
All 3 marks are awarded if for maths watch
If done like the following;
x = 17/30
5 and 2/3 divided by 4?
Answer:
1.41 it’s a infinity answer
Step-by-step explanation:
Is 2.88 rational or irrational
Answer:
rational
Step-by-step explanation:
A rational number can be expressed in the form
[tex]\frac{a}{b}[/tex] ← where a and b are integers
Given
2.88
= 2 [tex]\frac{88}{100}[/tex]
= [tex]\frac{2(100)+88}{100}[/tex]
= [tex]\frac{288}{100}[/tex] ← in rational form
Answer:
2.88 is a rational number.
Step-by-step explanation:
A rational number is a number that can be expressed as a ratio or fraction. Since we can write 2.88 as a fraction, (72/25) we know that it is a rational number.
Other examples of rational numbers include:
-4
8
9/3
8.28
8.999999999...
El 10% de los huevos de un supermercado están rotos, haya la probabilidad de que un cliente que compra media docena de huevos encuentre como mucho un huevo roto
Answer:
La probabilidad de encontrar como mucho un huevo roto es 0,8857.
Step-by-step explanation:
Podemos calcular la probabilidad de econtrar un huevo roto usando la ecuación de distribución binomial:
[tex] P (x) = \left(\begin{array}{c}n&x\end{array}\right)p^{x}(1 - p)^{n-x} [/tex]
En donde:
p: es la probablidad de encontrar huevos rotos = 10% = 0,1
x: es el número de éxitos
n: es el número de ensayos = 6 (media docena de huevos)
Ahora, como nos piden la probabilidad de enontrar como mucho un huevo roto, esto quiere decir que debemos encontar la suma de la probablidad de encontar un huevo roto con la probabilidad de encontrar ninguno roto:
[tex] P = P(0) + P(1) [/tex]
[tex] P = \left(\begin{array}{c}6&0\end{array}\right)0,1^{0}(1 - 0,1)^{6-0} + \left(\begin{array}{c}6&1\end{array}\right)0,1^{1}(1 - 0,1)^{6-1} = 0,5314 + 0,3543 = 0,8857 [/tex]
Entonces, la probabilidad de encontrar como mucho un huevo roto es 0,8857.
Espero que te sea de utilidad!