Answer:
54 marbles
Step-by-step explanation:
The question is a word problem leading to a simultaneous equation
Let 'x' represent the initial number of marbles with Sam, and let 'y' represent the initial number of marbles with Mary,
If Mary gives Sam 5 marbles, we have;
x + 5 = 2 × (y - 5)...(1)
If Sam gives Mary 4 marbles, we get;
x - 4 = y + 4...(2)
From equation (1), we get;
x + 5 = 2 × (y - 5) = 2·y - 10
x = 2·y - 10 - 5 = 2·y - 15
x = 2·y - 15...(3)
From equation (2), we have;
x - 4 = y + 4
∴ x = y + 4 + 4 = y + 8
x = y + 8...(4)
Equating the two values of 'x' in equation (3), and equation (4), we get;
2·y - 15 = y + 8
2·y - y = 8 + 15 = 23
∴ y = 23
From equation (4), we get;
x = y + 8 = 23 + 8 = 31
x = 31
The total number of marbles they have altogether = x + y
However, x + y = 23 + 31 = 54
Therefore;
The total number of marbles they have altogether = 54 marbles.
what is the constant of proportionality in the equations 3y=2X?
Answer:
the coefficient of x is 2/3 which is the constant.
2. Which equation represents a line that is perpendicular to the line
represented by y = 2/3 + 1
4x=6y= 6 and 2x+5y=11 by elimination show all work
Please help me!!! I will mark brainlist !!
Answer:
ans: x= 11/4 and y= 11/8
Step-by-step explanation:
4x=6y=6 mean
4x= 6 and 6y= 6 so, 6-6=0 i.e
4x - 6y = 0 say equation ....1
and given
2x + 5y = 11 say equation ....2
to solve by eliminating methods,
multiply equation....2 by 2 and subtract from ....1
i.e
4x - 6y =0
4x + 10y= 22
(-) (-) (-)
0+ (-)16y = - 22
y = -22/-16
y = 11/ 8
to get , x put y in either equation 1 or 2
I.e x= 11/4
this value of x and y satisfy both equations
you & three friends go to the twin carnival. you have a coupon for $20 off that will save your group money! if the total bill to get into the carnival was 100$ how much does one regular price ticket cost?
Answer:
$30
Step-by-step explanation:
100+ the twenty you got off is 120 and dvide 120/4=30 I am either making this way to easy or just dont understand lol
Help with this question
Answer:
Step-by-step explanation:
First find the first radius
c=88cm
=2*22/7*r=88cm
=r=14cm
22/7 (pie as common)(R1^2+R2^2=637cm)
14^2+R2^2=637cm
196+R2^2=637cm
R2^2=637-196=441
R2=√441
R2=21
first radius =14cm
second radius =21cm
can someone help? it’s 7th grade math and im finishing this project for the end of the year
Answer:
c
Step-by-step explanation:
Given that y is directly proportional to x. If y = 30 and x= 5, write an equation that connects y with x.
Answer: y = 6x
Step-by-step explanation:
Since this is a direct proportion, we will introduce the constant of proportionality here and this will be:
y = kx
Since y = 30 and x= 5,
30 = 5 × k
30 = 5k
k = 30/5
k = 6
Therefore, the equation that connects y to x will be:
y = kx
y = 6x
The equation that connects y to x is y = 6x.
If 5 + 2 root 3 / 7 + 4 root 3 = a - b root 3, find a and b.
Answer:
lhs = (5+2√3)/(7+4√3)
= [(5+2√3)(7-4√3)]/[(7-4√3)(7+4√3)]
=[35-20√3+14√3-24]/[7²-(4√3)²]
=[11-6√3]/[49-48]
=11-6√3
therefore
11-6√3 = a+b√3
compare both sides
a= 11, b= -6
Step-by-step explanation:
Hope this answer helps you :)
Have a great day
Mark brainliest
Answer:
a = 11, b = 6
Step-by-step explanation:
Given
[tex]\frac{5+2\sqrt{3} }{7+4\sqrt{3} }[/tex]
Rationalise the denominator by multiplying numerator/ denominator by the conjugate of the denominator.
The conjugate of 7 + 4[tex]\sqrt{3}[/tex] is 7 - 4[tex]\sqrt{3}[/tex]
= [tex]\frac{(5+2\sqrt{3})(7-4\sqrt{3}) }{(7+4\sqrt{3})(7-4\sqrt{3} }[/tex] ← expand numerator/ denominator using FOIL
= [tex]\frac{35-20\sqrt{3}+14\sqrt{3}-24 }{49-28\sqrt{3}+28\sqrt{3}-48 }[/tex]
= [tex]\frac{11-6\sqrt{3} }{1}[/tex]
= 11 - 6[tex]\sqrt{3}[/tex]
with a = 11 and b = 6
Pls help me answer this :,(
What is the equation of the quadratic graph with a focus of (5, 6) and a directrix of y = -12?
Answer:
Step-by-step explanation:
Step-by-step explanation:
the answer is in the above image
Which is another name for plane M?
Which of the relations below is a function? *
2 points
{(2, 3), (3, 4), (5, 1), (2, 4)}
{(2, 3), (3, 4), (6, 2), (7, 3)}
{(2, 3), ( 3, 4), (6, 2), (3, 3)}
{(2, 4), ( 3, 4), (6, 3), (3, 3)}
Answer:
{(2, 3), (3, 4), (6, 2), (7, 3)}
Step-by-step explanation:
{(2, 3), (3, 4), (6, 2), (7, 3)}
this solution has different domain values : 2, 3, 6, 7
5 6 7 8 9 10
TIME REMAINING
50:04
Which equation represents a circle with a center at (–3, –5) and a radius of 6 units?
(x – 3)2 + (y – 5)2 = 6
(x – 3)2 + (y – 5)2 = 36
(x + 3)2 + (y + 5)2 = 6
(x + 3)2 + (y + 5)2 = 36
Answer:
(x-a)(y-b)=r²
(x-(-3))(y-(-5))=r²
(x+3)2(y+5)2=36
The seventh grade wants to break last year's record of 78 coats collected for the annual clothing drive. They have already collected 13 coats.
Which number line represents the graph of the solution to the inequality that represents the number of coats, c, that the seventh grade must still collect?
Answer:
The last number line or D.
Step-by-step explanation:
To find the remaining coats to be collected, subtract the coats that are collected from the total of coats needed.
So:
78 - 13= 65
They must collect a total of 65 and more to break the last year's record of 78 coats. Number line D, represents the solution of this inequality.
Hope this helps! Have a nice dayy! :)
Evaluate x2+9/x2 for each of the given values.
What is the value of the expression when x = 3?
2
3
10
undefined
What is the value of the expression when x = 1?
2
3
10
undefined
What is the value of the expression when x = 0?
2
3
10
undefined
Answer:
ok so we just substate the number in so
6+9/6
6+1 1/3 = 7 1/3
so for part a the answer is 7.33
for part b
2+9/2
3+4 1/2 =7 1/2
so the answer is 7.5
A:7.33
B:7.5
Hope This Helps!!!
Answer:
A, 2
B, 10
C, undefined
Step-by-step explanation:
Just did the assignment E2021
3x^2 + 14x
how do you factories this
Answer:
x(3x+14)
Step-by-step explanation:
what do those terms share? they share the letter "x"
therefore we multiply x by 3x^2/x + 14x/x
3x^2/x = 3x and 14x/x = 14
I need help on this one
Answer:
just look at the constant terms...
A: 5
B: 7
C: -5
1) 11-6 = 5 thus answer A
2) -3 -2 = -5 thus answer C
3) -5 - (12) = -5 + 12 = 7 thus answer B
Step-by-step explanation:
PLEASE HELP, WILL GIVE BRAINLIEST FOR RIGHT ANSWER!
Indicate the equation of the given line in standard form, writing the answer in the equation box below.
The line that contains the point Q (1, -2) and is parallel to the line whose equation is
y − 4 = 2/3 ( x − 3)
Answer:
my previous account deleted...how r u sadie??
Una empresa fabrica protectores faciales, según los estudios de mercado que se han hecho, se ha de vender a S/.9 la unidad. La empresa tiene unos gastos fijos mensuales de local y personal de S/.9000, y además, fabricar cada unidad protector facial cuesta S/. 3. ¿Cuántas unidades ha de vender mensualmente si no quiere tener pérdidas?
Answer:
The number of units sell is 2.
Step-by-step explanation:
selling cost of one unit = $ 0.9
Monthly expense = $ 0.9
Manufacturing cost = $ 0.3
Let the number of unit sell is x.
So,
0.9 x = 0.9 + 0.3 x
0.6 x = 0.9
x = 1.5
So, the number of units sell to get no loss is 2.
Ifthe fish commission states that the mean length of all fish in spring run is mean =15cm,withthe standard deviation of variance=4cm,what will be the probability that a fish is caught in spring run :between 15cm&19cm?
Answer:
Step-by-step explanation:
z(lower) = (15-15)/4 = 0
z(upper) = (19-15)/4= 1
z at 0 = .5
z at 1 = 0.841344746
(look these up in a Z table)
probability "between" = 0.841344746 - .5 = 0.3841344746
0.384 is the probability that a fish is caught in spring run between 15cm and 19cm
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that fish commission states that the mean length of all fish in spring run is mean =15cm
the standard deviation of variance=4cm,
We need to find the probability that a fish is caught in spring run :between 15cm and 19cm
The z score formula is z=x-µ/σ
z(lower) = (15-15)/4 = 0
z(upper) = (19-15)/4= 1
From the table of z values we get
z at 0 is 0.5
z at 1 is 0.841344746
probability between 0.841344746 -0 .5 is 0.3841344746
Hence, 0.384 is the probability that a fish is caught in spring run between 15cm and 19cm
To learn more on Statistics click:
https://brainly.com/question/29093686
#SPJ5
Translate the sentence into an equation,
Three times the sum of a number and 7 equals 2.
Use the variable y for the unknown number.
Answer:
3(y+7)=2
Step-by-step explanation:
5 - 3tan3x = 0 trên -π< x < π.
Step-by-step explanation:
the answer is In photo above
What is infinity + infinity??
Answer:
Although this makes for a lot of potential fun with formulas, mind experiments and arguments, the answer is plain.
Infinity is already everything so there is no more to it, infinity plus infinity would be still just infinity, which is btw infinite.
Answer:
infinity + infinity = infinity
Step-by-step explanation:
Mark brainliest please :)
Does anyone know the answers with big ideas!
Answer:
k = 3
Step-by-step explanation:
Parent function is f(x) = [tex]0.25^{x}[/tex]
As shown in the graph, function 'f' has been shifted 3 units upwards to form an image function 'g'.
If the given function is shifted 3 units upwards, equation of the new function will be,
g(x) = [tex]0.25^{x}+3[/tex]
Therefore, the value of k will be,
k = 3
Find the next term of the sequence.
21, 15, 9, 3, . .
6
−6
0
−3
Answer:
-3
Step-by-step explanation:
You need to substract 6 to get the next term.
I HOPE THIS HELPS :)
Answer:
-3
Step-by-step explanation:
21 - 6 = 15
15 - 6 = 9
9 - 6 = 3
3 - 6 = -3
Apothem=
A) 4 units
B) 4 (square root) 2 units
C) 4 (square root) 3 units
Answer:
Step-by-step explanation:
c
part ion even know of the hardest test
Given:
The equation of a line is:
[tex]y=-\dfrac{5}{7}x+2[/tex]
A line passes through the point (-5,-3) and perpendicular to the given line.
To find:
The equation of the line.
Solution:
Slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope and b is the y-intercept.
We have,
[tex]y=-\dfrac{5}{7}x+2[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=-\dfrac{5}{7}[/tex]
We know that the product of slopes of two perpendicular lines is always -1.
[tex]m_1\times m_2=-1[/tex]
[tex]-\dfrac{5}{7}\times m_2=-1[/tex]
[tex]m_2=\dfrac{7}{5}[/tex]
Slope of the required line is [tex]\dfrac{7}{5}[/tex] and it passes through the point (-5,-3). So, the equation of the line is:
[tex]y-y_1=m_2(x-x_1)[/tex]
[tex]y-(-3)=\dfrac{7}{5}(x-(-5))[/tex]
[tex]y+3=\dfrac{7}{5}(x+5)[/tex]
Using distributive property, we get
[tex]y+3=\dfrac{7}{5}(x)+\dfrac{7}{5}(5)[/tex]
[tex]y+3=\dfrac{7}{5}x+7[/tex]
[tex]y=\dfrac{7}{5}x+7-3[/tex]
[tex]y=\dfrac{7}{5}x+4[/tex]
Therefore, the equation of the line is [tex]y=\dfrac{7}{5}x+4[/tex]. Hence, option A is correct.
If the area of a circle is 36 pi, what is it's circumference?
Answer:
C = 12π or 37.7
Step-by-step explanation:
A = πr²
36π = πr²
π's get divided out and you are left with:
r² = 36
if you take the square root of 'r' it will equal the square root of 36, which is 6
C = 2πr
C = 2π(6)
C = 12π or 37.7
Answer
the answer is 12*sqrt pi
Which of the following describes the parabola with the equation y = −x2 − 3x + 6?
A) The axis of symmetry is x = 1.5 and the vertex is (1.5, 12.75).
B) The axis of symmetry is x = −1 and the vertex is (−1, −3).
C) The axis of symmetry is x = −1.5 and the vertex is (−1.5, 8.25).
D) The axis of symmetry is x = 0 and the vertex is (0, 6).
Answer:
C) The axis of symmetry is x = −1.5 and the vertex is (−1.5, 8.25).
Step-by-step explanation:
The axis of symmetry is x = − b/2a
= -(-3) / 2(-1)
= 3/(-2)
= -1.5
the vertex => x = -1.5
y= -(-1.5)²-3(-1.5)+6 =
-2.25 +4.5+6= 8.25
How many of the following numbers are factors of 34 or multiples of 7? 1, 2, 3, 4, 8, 14, 17, 29, 56, 91
Answer:
6
Step-by-step explanation:
So here are the numbers that are factors of 34 and multiples of 7
1,2,14,17,56,91
So count the numbers, 6. And that's ur answer, believe me
Find the equation of the line through point (4,−7) and parallel to =−2/3+3/2 Use a forward slash (i.e. "/") for fractions (e.g. 1/2