Answer:
3. The number of students that rode on each bus
Step-by-step explanation:
The equation they give us is:
2b + 6 = 70
The question already tells us that in this equation:
2 is the 2 buses that the school hired
6 is the 6 leftover kids who couldn't fit on the 2 buses
The question also tells us that the 2 buses only have a total of 64 seats, so 32 seats on 1 bus (64/2 = 32).
So that means b would equal the 32 seats on 1 bus, or the number of students that rode on each bus.
Hope it helps (●'◡'●)
If anyone can assist with a step by step
Answer:
(in the image)
Step-by-step explanation:
hope it helps
Determine the equations of the straight lines
passing through the following pairs of points.
1)(2,-2) and (3, 4)
2)(-3, -2) and (1,2)
3)(4,6) and (5,2)
4)(5,8) and (7, 1)
Answer:
1). 6x - 14 2). y = 1x + 1 3). y = -4x + 22 4).y = -7/2x + 51/2
Step-by-step explanation:
1). y2 - y1 / x2 - x1 4 - (-2) / 3-2 = 6
y = 6x + b 4 = 6(3) + b 4 = 18 + b -14 = b
y = 6x - 14
2). 2 - (-2) / 1 - (-3) = 1
y = 1x + b 2 = 1(1) + b 2 = 1 + b 1 = b
y = 1x + 1
3). 2 - 6 / 5 - 4 = -4
y = -4x + b 6 = -4(4) + b 6 = -16 + b 22 = b
y = -4x + 22
4). 1 - 8 / 7 - 5 = -7/2
y = -7/2x + 51/2
f equals to 2 f - 20
Answer:
20
Step-by-step explanation:
f = 2f - 20
f - 2f = - 20
- f = - 20
f = 20
Find end and mid point
Answer:
You already post your answer!
Step-by-step explanation:
Maybe you should get two points in order to find midpoint and endpoint!
or you should give other information!
10
What are the x- and y-coordinates of point E, which
partitions the directed line segment from A to B into a
ratio of 1:2?
B(-4,9)
9
8
X E
(
mn)(x2 – xı) + x
7-
6
5
4
mm. )(x2 - y) + y
3
-7 -6 -5 4 -3 -2 -14
2 3 4 5 6 7
0 (0, 1)
0 (-1,3)
O(-2,5)
(1,0)
X
-2.
3
A(2,-3)
19
Answer:
Step-by-step explanation:
The formulas to find the x and y coordinates of E are:
[tex]x=\frac{bx_1+ax_2}{a+b}[/tex] and [tex]y=\frac{by_1+ay_2}{a+b}[/tex] where x1, x2, y1, and y2 are from the coordinates of A and B, and a = 1 (from the ratio) and b = 2 (from the ratio). Filling in to find x first:
[tex]x=\frac{2(2)+1(-4)}{1+2}=\frac{4-4}{3}=0[/tex] and now for y:
[tex]y=\frac{2(-3)+1(9)}{1+2}=\frac{-6+9}{3}=\frac{3}{3}=1[/tex]
The coordinates of E are (0, 1).
Given:
The points are A(2,-3) and B(-4,9).
The point E divides the segment AB in 1:2.
To find:
The coordinates of point E.
Solution:
Section formula: If a point divides a line segment in m:n, then the coordinates of the point is:
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
Using the section formula, the coordinates of point E are:
[tex]E=\left(\dfrac{1(-4)+2(2)}{1+2},\dfrac{1(9)+2(-3)}{1+2}\right)[/tex]
[tex]E=\left(\dfrac{-4+4)}{3},\dfrac{9-6}{3}\right)[/tex]
[tex]E=\left(\dfrac{0)}{3},\dfrac{3}{3}\right)[/tex]
[tex]E=\left(0,1\right)[/tex]
Therefore, the coordinates of the point E are (0,1).
Freebie!! Enjoy! Have a good day!
“Never follow anyone else’s path. Unless you’re in the woods and you’re lost and you see a path. Then by all means follow that path.”
—Ellen DeGeneres
Answer:
You as well!
Step-by-step explanation:
if 3/4 of a number is added to 5/4 it gives the same result as taking 7/8 of the number from 20 ⅓. Find the number
Given:
[tex]\dfrac{3}{4}[/tex] of a number is added to [tex]\dfrac{5}{4}[/tex] it gives the same result as taking [tex]\dfrac{7}{8}[/tex] of the number from [tex]20\dfrac{1}{3}[/tex].
To find:
The unknown number.
Solution:
Let x be the unknown number.
[tex]\dfrac{3}{4}[/tex] of a number is added to [tex]\dfrac{5}{4}[/tex] it gives the same result as taking [tex]\dfrac{7}{8}[/tex] of the number from [tex]20\dfrac{1}{3}[/tex].
[tex]\dfrac{5}{4}+\dfrac{3}{4}x=20\dfrac{1}{3}-\dfrac{7}{8}x[/tex]
[tex]\dfrac{5+3x}{4}=\dfrac{61}{3}-\dfrac{7}{8}x[/tex]
[tex]\dfrac{5+3x}{4}=\dfrac{488-21x}{24}[/tex]
Multiply both sides by 24.
[tex]6(5+3x)=488-21x[/tex]
[tex]30+18x=488-21x[/tex]
[tex]18x+21x=488-30[/tex]
[tex]39x=458[/tex]
Divide both sides by 39.
[tex]x=\dfrac{458}{39}[/tex]
Therefore, the required number is [tex]\dfrac{458}{39}[/tex].
The perimeter of a rectangular swimming pool is 154 meters. Its length is 2m more than twice its breadth. What are the length and the breadth of the pool?
Step-by-step explanation:
Hey there!
According to the question;
Perimeter of rectangle (p) = 154 m
Let the breadth of rectangle be "X" then length will be 2x+2.
Then;
Perimeter (p) = 2(l+b)
154 = 2((2x+2) + x)
154 = 2(3x+2)
154 = 6x + 4
or, 6x = 154-4
or, X = 150/6
Therefore, X= 25.
Hence;
Length = 2*25+2 = 52 m
Breadth = 25 m
Hope it helps!
We can assume,
Perimeter of rectangle = 154 m
Breadth = x
Length = 2x + 2
Now, perimeter = 2(l+b)
[tex] \sf \to 154= 2((2x+2) + x)[/tex]
[tex] \sf \to 154 = 2(3x+2)[/tex]
[tex] \sf \to 6x = 154-4[/tex]
[tex] \sf \to x = \frac{150}{6} = 25[/tex]
Then,
Breadth = 25 m
Length [tex] \sf = 2x + 2[/tex]
[tex] \sf \to (2 \times 25) + 2[/tex]
[tex] \sf \to 52 \: m[/tex]
Craig has a rectengular deck that measures 799 inches and 245 inches premeter and if the addtional deck is 33 inches longer,what legnth would it be? Answer
Answer:
The length of the lights is 2088 inches
Step-by-step explanation:
The question is mixed up with another (See comment for correct question)
Given
[tex]Length = 799in[/tex]
[tex]Width = 245in[/tex]
Required
The perimeter of the deck (this is what the question implies)
The perimeter (P) is:
[tex]P = 2 * (Length + Width)[/tex]
[tex]P = 2 * (799 + 245)[/tex]
[tex]P = 2 * 1044[/tex]
[tex]P = 2088[/tex]
Can you please help me with this?/
Answer:
1.3 meters
Step-by-step explanation:
The question is: What is the position of Michael's hands relative to the surface of the water?
It seems like it is asking for the amount of space between Michael's hands, and the surface of the water.
His hands are 1.8 meters below his feet, and his feet are 0.5 meters above the water.
To solve: subtract
1.8-0.5
1.3
I hope this helps!
Find each measure
Please help me
Answer:
1. m∠CGB=120
3. m∠AGD=90
5. m∠CGD=150
2. m∠BGE=60
4. m∠DGE=30
6. m∠AGE=120
Step-by-step explanation:
Sorry that they are out of order.
Answer:
1. m∠CGB=120°
2.m∠BGE=60°
3.m∠AGD=90°
4.m∠DGE=30°
5.m∠CGD=150°
6.m∠AGE=120°
Step-by-step explanation:
My work is scatterbrained so I'm not gonna be any help if I give an explanation.
What are the center and radius of the circle defined by the equation (x -2)squared + (y + 3) squared equals 16
Answer:
Center (h, k) = 2 and -3
Radius = 4
Step-by-step explanation:
Given the mathematical expression;
(x - 2)² + (y + 3)² = 16 ......equation 1.
The general equation for a circle is given by the formula;
x² + y² + 2hx + 2ky + c = 0 ......equation 2.
Where the center is C(-h, -k)
Similarly, the standard form of the equation of a circle is;
(x - h)² + (y - k)² = r² ......equation 3.
Where;
h and k represents the coordinates of the centre.r represents the radius of the circle.Comparing equation 1 and equation 3, we have;
The center of the circle, C(h, k) are 2 and -3
Radius = √16 = 4
Shjdksjcksmcjcsnuckamc
Answer:
you should make the picture more clear, i cant see the answer choices
Answer:
use pythogoream theorem that is,
Step-by-step explanation:
c*2=a*2+b*2
so in order to find a*2;
a*2=c*2-b*2
a parallelogram has side lenghts 20 cm and 25 cm. the diagonal opposite the obtuse angle measures 38 cm. what is the measure of the obtuse angle?
Step-by-step explanation:
1. draw the parallelogram with side 20cm and 25cm respectively and also the diagonal as well.
2.Clearly it forms a triangle in the parallelogram with three known lengths of side.
3.Using the cosine rule : c^2=b^2+c^2 -2bc cos c to find the obtuse angle.
9514 1404 393
Answer:
114.8°
Step-by-step explanation:
The angles can be found using the Law of Cosines. It tells you ...
c² = a² +b² -2ab·cos(C)
Then angle C can be found to be ...
C = arccos((a² +b² -c²)/(2ab)) = arccos((20² +25² -38²)/(2·20·25))
C = arccos(-419/1000) ≈ 114.77°
The measure of the obtuse angle is about 114.8°.
(show your work!) i only got an hour left for this :c
Answer:
7 _> x
Step-by-step explanation:
28 - x _> 7(x-4)
28 - x _> 7x-28
28+28 _> 7x+x
56 _> 8x
7 _> x
Write an explicit formula for…
Answer:
aₙ = 11 - 3(n - 1)
Step-by-step explanation:
Arithmetic Explicit Formula: aₙ = a₁ + (n - 1)d
a₁ = First term
d = Common difference
n = Term number
The first term of the sequence is 11 and the common difference is -3.
Therefore, the explicit formula of the sequence is aₙ = 11 - 3(n - 1).
Max earned $8 for each hour of work he completed. His mom put $120 in his savings account at the end of the summer. By the end of the summer, Max had $400 in his savings account. Write an equation to determine the number of hours Max worked over the summer.
Answer:
8x +120= 400
Step-by-step explanation:
Let the number of hours Max worked over the summer be x.
Assuming that he had $0 in his bank at the start of summer,
Total savings= 8(number of hours) +120
400= 8x +120
8x +120= 400
To find the value of x, first bring all the constants to one side of the equation.
8x= 400 -120
Simplify:
8x= 280
Divide both sides by 8:
x= 280 ÷8
x= 35
∴ Max worked for 35 hours over the summer.
What is the value of this exspession when c=-4 and d=-10 1/4(c^3+d^2)
Answer:
2
Step-by-step explanation:
1/4(-4×3 + 10×2)
1/4(-12 + 20)
THERE ARE 2 WAYS YOU COULD SOLVE THIS!
1. 1/4( -12) + 1/4( 20) = -3 + 5 = 2
2. 1/4 ( -12+20) = 1/4(8) = 2
Answer:
[tex]9[/tex]
Step-by-step explanation:
Given:-
Expression: [tex]\frac{1}{4} (c^3+d^2)[/tex]
Value of c = [tex]-4[/tex]
Value of d = [tex]-10[/tex]
Solution:-
Add the given values in the expression, writing them inside the bracket:
[tex]\frac{1}{4} ((-4)^3+(-10)^2)[/tex]
[tex](\frac{1}{4}) ((-4)^3)+(\frac{1}{4} )((-10)^2)[/tex]
[tex]-16+25[/tex]
[tex]9[/tex]
Find the measure of the indicated angle measurements
Answer:
70°
Step-by-step explanation:
(180-40)/2
= 140/2
= 70
Answered by GAUTHMATH
What is (f.g)(x)?
f(x)=x^3 - 4x + 2
g(x)=x^2 + 2
Answer:
f(g(x)) =
[tex] {x}^{6} + 6 {x}^{4} + 8x^{2} + 2[/tex]
Step-by-step explanation:
put g(x) instead of any x in f(x)
[tex] {(x ^{2} + 2) }^{3} - 4( {x}^{2} + 2) + 2[/tex]
Look at the graph below. What type of function is represented by this graph?
Someone come through with the answers pls
Which of these is an example of a literal equation?
A. 4x + 7 = 22
B. 5+ 20 = 52
C. ax - by = k
D. 2x + 7y
What is the measure of x?
Answer:
Step-by-step explanation:
Use similar triangles and proportions to solve:
[tex]\frac{4}{6}=\frac{10}{6+x}[/tex] and cross multiply:
4(6 + x) = 60 and
24 + 4x = 60 and
4x = 36 so
x = 9
Helppp and explain pls and thankyou ,I will mark brainlist
Answer:
4x = 6 + x
3x = 6
x = 2
2 hours..$8
Step-by-step explanation:
The proportion of observations from a Standard Normal Distribution that take values larger than -0.8 is about:
Answer:
0.78814
Step-by-step explanation:
From. The Z probability distribution table ;
The values larger than - 0.8
P(Z ≤ - 0.8) = 0.21186
P(Z > - 0.8) = 1 - P(Z ≤ - 0.8)
1 - P(Z ≤ - 0.8) = 1 - 0.21186
P(Z > - 0.8) = 1 - 0.21186 = 0.78814
geometrical representation of (a+b)2and (a-b)2
Step-by-step explanation:
hope this will help you if it really help you mark me as brinalist friend please
3 1/2 divided by 2 1/6=
Answer:
21/13
Step-by-step explanation:
3 1/2 = 7/2
2 1/6 = 13/6
7/2 divided by 13/6
7/2 X 6/13 = 42/26 = 21/13
Answer:
Step-by-step explanation:
3 1/2 = 7/2 and 2 1/6 = 13/6
7/2 divided by 13/6 = 7/2 x 6/13
42/26
21/13 is your final answer.
Isosceles triangle LMN is graphed with vertices L(0, 1), M(3, 5), and N(6,1). What is the slope of side LN?
Negative StartFraction 4 over 3 EndFraction.
0
StartFraction 4 Over 3 EndFraction.
3
Answer:
The slope is 0 the line is constant.
Step-by-step explanation:
.
The slope of side LN is 0.
What is an isosceles triangle?In an isosceles triangle, if two sides are equal, then the angles opposite to the two sides correspond to each other and are also always equal.
Now, in the given isosceles triangle LMN,
Coordinates of vertices are,
L(x₁,y₁) = (0, 1),
M(x₂,y₂) = (3, 5), and
N(x₃,y₃) = (6,1)
The slope of side LN ,
Slope = (y₃ - y₁)/(x₃ - x₁)
⇒ Slope = (1-1)/(6-0)
⇒ Slope = 0
means " LN is a horizontal line".
Thus, the slope of side LN is 0.
To learn more about isosceles triangle:
https://brainly.com/question/20339893
#SPJ2
Pedro preparou 4kg de salada de frutas, que serviu igualmente entre 16 convidados. Quantos kg de salada de frutas cada convidado recebeu?
Answer: The amount of salat received by each guest is 0.25 kg
Step-by-step explanation:
We are given:
Mass of the fruit salad prepared = 4 kg
Total number of guests = 16
As the salad was divided equally amongst the guest, so when we divide the mass by the number of guests, we will get the amount of salad received by each guest.
Amount received by each guest = [tex]\frac{4kg}{6}=0.25kg[/tex]
Hence, the amount of salat received by each guest is 0.25 kg
Is the discriminant of f positive, zero, or negative?
Answer:
It might be negative, I'm not sure, but I feel postive about that answer.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The discriminant is zero because the graph of the parabola is on the x axis.