Answer:
There were 52 students on each bus.
Step-by-step explanation:
Let's break this down into an equation:
Total Students
=
Number of Buses
×
Students per Bus
+
Students in Cars
We have the following information:
Total Students
=
472
Number of Buses
=
9
Students in Cars
=
4
Filling this into the equation, we get
472
=
9
×
Students per Bus
+
4
Subtracting
4
from each side of the equation, we get
468
=
9
×
Students per Bus
Dividing each side of the equation by
9
, we get the final result of
52
=
Students per Bus
Thus there were
52
students on each bus.
For a field trip, 4 students rode in cars and the rest filled nine buses. 52 students were on each bus, and 472 students were on the trip. To obtain the number of students, the concept of division is used.
The division is an arithmetic operation that involves splitting a quantity or number into equal parts or groups. It is the inverse operation of multiplication. In division, a number called the dividend is divided by another number called the divisor to obtain the quotient.
The dividend is the total quantity or number being divided, while the divisor is the number by which the dividend is divided. The result of the division is called the quotient, which represents the number of times the divisor can be subtracted from the dividend to achieve equal parts.
Let's assume the number of students on each bus is x.
Since there were 4 students riding in cars, the number of students on buses is (472 - 4) = 468.
According to the question,
Number of buses = [tex]\frac{468}{x}[/tex]
As there were nine buses, so set up an equation,
[tex]\frac{468}{x}[/tex] = 9,
468 = 9x
x = [tex]\frac{468}{9}[/tex]
x = 52.
Therefore, there were 52 students on each bus.
Learn more about division here:
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The perimeter of the base of a square pyramid is 16 feet and it stands 20 ft tall. Calculate the volume.
Answer: [tex]1706.67 feet[/tex]
Step-by-step explanation:
Formula: Volume = [tex]\frac{1}{3} \alpha^{2}h[/tex]
a is the length of the base's edge and h is the height. Since 16 is the length we would square it as it is the length, then we would multiply it by the height which is 20 ft.
Steps: Multiply
Volume = [tex]\frac{1}{3} \alpha^{2}h[/tex]
= [tex]\frac{1}{3} * 16^{2} * 20[/tex]
= [tex]1706.67 feet[/tex]
~I hope I helped you :)~
Can someone help me on this? this one is confusing....
Answer:
The one you have selected is right
Step-by-step explanation:
A constant speed is a number being added or subtracted at the same right. In this case its 50 each time
50+50= 100
100+50=150
etc
The 2nd one is being multiplied by 10 and the 3rd one is adding 100 which wouldnt be right since you started out with 50.
Hope this helps (:
can i plz get help wit 5(6x-10y+7)
5(6x−10y+7)
Answer:
5(6x -10y +7) (use the distributive property)
30x -50y +35 (simplest form)
Step-by-step explanation:
how do I find the slope and y intercept of y=4x-4
Answer:
the slope is 4/1 because it's 4x and the y intercept is -4
Answer:
slope: 4
y intercept: -4
Step-by-step explanation:
the equation you're given is in y = mx + b format
the "b" in the equation is the y intercept
the x and y are the variables
and the "m" is the slope
so in this case, the "m" would be 4 because it is the number right next to x
the -4 would be the "b" in this because it is after the "y=" and does not have a variable
How can you evaluate 2º?
PLEASEEE ANSWERR
Which steps show how to use the distributive property to evaluate 7 · 88?
A. 7(88)=7(90 - 2) = 7.90-2 +630 – 2 = 628
B. 7(88)= 7(90 - 2) = 7.90-7.2 = 630 – 14 = 616
C. 7(88)=7(90 - 2) = 7.90 +7.2 = 630 + 14 = 644
D.7(88)=7(90 - 2)=7.90 - 90.2 = 630 – 180 = 450
Answer:
b
Step-by-step explanation:
You are standing at the edge of a cliff. You look down with an angle of depression of 20 degrees and see a a dog at the bottom that is 130 feet away from where you're standing. What is the height of the cliff? Round your answer to the nearest tenth, and round only once.
Answer:
47.3feet
Step-by-step explanation:
The set up will give a right angled triangle.
The distance of the dog away from the cliff = 130 feet = adjacent side
Angle of depression = 20°
Height of the cliff = Opposite = x
Using the SOH, CAH, TOA trigonometry identity;
According to TOA;
tan theta = opposite/adjacent
tan 20 = x/130
Cross multiply;
x = 130tan20
x = 130(0.3639)
x = 47.3 feet
Hence the height of the cliff to the nearest tenth is 47.3feet
Two complementary angles have a difference of 22 degrees. What are the two angles?
plz its due in 20 min
Answer:
If two angles sum is equal to 90° and makes right angle called = complementary angle...☺️✌️
Above sum solution....
one angle =x
other angle =y
According to question
x+y= 90°......(1)
x-y=22°......(2)
from one and two ....by eliminating method...
2y=68
y=68/2
y=34
put y in equation 1
x+y=90°
x+34=90°
x=90°-34
x= 56...
To verify add both
sum = 90°
Hence ..verified...
Step-by-step explanation:
hope its helps u...☺️✌️✌️
Answer:
13 degrees
Step-by-step explanation:
Plz help. Draw line ZY parallel to segment PQ Construction
m∠ZRP + m∠PRQ + m∠QRY = m∠ZRY Angle Addition Postulate
∠ZRP ≅ ∠RPQ Alternate Interior Angles Theorem
∠QRY ≅ ∠PQR Alternate Interior Angles Theorem
m∠RPQ + m∠PRQ + m∠PQR = m∠ZRY Substitution
m∠ZRY = 180° Definition of a Straight Angle
m∠RPQ + m∠PRQ + m∠PQR = 180° Additive Property of Equality
Which statement will accurately correct the two-column proof?
A. The measure of angle ZRY equals 180° by definition of supplementary angles.
B. Angles QRY and PQR should be proven congruent before the construction of line ZY.
C. The three angles of ΔPQR equal 180° according to Substitution.
D. Line ZY should be drawn parallel to segment QR.
Answer:
Angles QRY and PQR should be proven congruent after the construction of line ZY.
Step-by-step explanation:
Can someone pls help me
Answer: x = 7
Step-by-step explanation:
7x+9=58
8x+2=58
These are congruent angles so they are the same value.
12- [3 - (13) * 2]
I need work shown
Answer:
35
Step-by-step explanation:
Answer:
12−(3−(13)(2))
=12−(3−26)
=12−(−23)
=35
Step-by-step explanation:
Help. Examine the figure below. Determine which of the following angle measures are correct PICK up 2 answers
Answer:
RPQ = 30 and QRP = 75
Step-by-step explanation:
First we need to find "x".
Since we know that all the angles of a triangle must equal 180 and we know that angles PQR and QRP are the same (Due to the fact that two of the lengths of the triangle are the same) we can set up an equation.
x + (2x + 15) + (2x + 15) = 180
1. we can drop the parentheses (when there is a + in front of an expression in parentheses, the expression remains the same)
x + 2x + 15 + 2x + 15 = 180
2. We can collect the like terms to simplify the equation. (x and 2x and 2x combine to equal 5x) (Remember that there is a hidden 1 behind an "x" without a number next to it)
(the two 15's add together to make 30)
This leaves us with this equation
5x + 30 = 180
3. Now we suptract the constant from 180 (The constant is 30)
5x = 180 - 30
5x = 150
4. Now we devide both sides by 5
x = 30
Next we can find all of the angles
PRQ = (2x + 15)
1. PRQ = (2(30) + 15)
2. PRQ = (60 + 15)
3. PRQ = 75
RQP = (2x + 15)
1. RQP = (2(30) + 15)
2. RQP = (60 + 15)
3. RQP = 75
RPQ = x
RPQ = 30
5/3y=-(x-5) in slope intercept form
Required slope intercept form is [tex]y = - \frac{3}{5} x + 3[/tex]
What is slope ?
The slope of a line is a measure of the steepness and direction of the line. Finding the slope of lines in a coordinate plane can help predict whether the lines are parallel, perpendicular, or missing without using a compass.
The slope of any straight line can be calculated using two points on the line. The slope of the line formula calculates the ratio of "vertical change" to "horizontal change" between two different points on the line. In this article we will understand the slope finding method and its applications.
The slope of a line is defined as the change in the y-coordinate relative to the change in the x-coordinate of that line. The net change in the y-coordinate is Δy, while the net change in the x-coordinate is Δx. Thus, the change in the y-coordinate with respect to the change in the x-coordinate can be written as: m = Δy/Δx
Here given,Equation of line [tex] \frac{5}{3}y = - (x - 5)[/tex]
We want to find what is 5/3y=-(x-5) in slope intercept form ?
We want to simplify the equation.
[tex]5y = - 3(x - 5) \\ 5y = - 3x + 15 \\ y = \frac{ - 3x + 15}{5} \\ y = - \frac{3}{5} x + \frac{15}{5} \\ y = - \frac{3}{5} x + 3....(1)[/tex]
We know slope in line y = mx+c is m.
We are comparing equation (1) with y = mx + c and get [tex]m = - \frac{3}{5} [/tex]
Equation (1) is slope intercept form of 5/3y=-(x-5).
Therefore,required slope intercept form is [tex]y = - \frac{3}{5} x + 3[/tex]
Slope related one more question:
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Please help 10 pts given
Answer:
6.50 per mile
Step-by-step explanation:
Karen is planting a garden as shown she wrote the expression r(5+4) find the area of her garden which expression is equal to Karen’s expression?
Answer:
5r + 4r
Step-by-step explanation:
I think that's what it is
Can someone please help or explain on how I can do this
Answer:
NO they are not cangruent.
Step-by-step explanation:
Find the measure of each angle indicated
Answer:
D) 45 degrees
Step-by-step explanation:
145 = 100 + x
Subtract 100 from both sides
45 = x
OR
180 - 145 = 35
<FEG = 35
100 + 35 + x = 180
135 + x = 180
Subtract 135 from both sides
x = 45
what is 6+ 4 - 2 first to answer gets brainlist
Answer:
8
Step-by-step explanation:
Answer:8
Step-by-step explanation:
How many terms are in this expression ?-3x + 7y - 6 *
Answer:
3 terms in the expression
HELPPP THIS IS TIMEDD I NEED A STEO BY STEPP
Answer:
Why do you need a step by step
Step-by-step explanation:
At a pizza eating competition, Davonne at two more than twice as many slices as the runner-up. If Davonne at 11 slices, then how many slices did the runner-up eat?
Answer:the runner up ate 3.5 slices
Step-by-step explanation:
On a coordinate plane, 2 lines intersect at (0, 1).
By observation, what is the solution to this system?
(–1, 0)
(1, 0)
(0, 1)
(0, –1)
Answer:
(0,1)
Step-by-step explanation:
i just did it
Answer:
(0,1) ur welcome!!
Step-by-step explanation:
y=-3x+4
y=2x-1
what’s the solution?
Answer:
use desmos graphing calc. our teacher reccomended it to us
Step-by-step explanation:
A school district is planning a banquet to honor its teachers of the year and raise money for its scholarship foundation. The budget to hold the banquet in a hotel ballroom is at most $3,375. The venue can hold no more than 125 guests. The cost is $45 per adult but only $15 per student because the caterer offers a student discount.
What system of inequalities can represent this situation? Let x be the number of adult guests and y be the number of student guests.
Drag the tiles to the correct locations in the system. Not all tiles will be used.
Answer:
[tex]x + y = 3325 \\ i \:hope \: it \: helps[/tex]
PLEASEEEEE HELPPPPP THIS IS ALGEBRA 1
Raise m to the 5th power, then multiply 8 by the result
Answer:
8m⁵
Step-by-step explanation:
m to the 5th power = m × m × m × m × m
= m⁵
Then multiplied by 8 = 8 × m⁵
= 8m⁵
Therefore, m to the 5th power multiplied by 8 will be represented by 8m⁵.
Find the slope of the line that passes through A(–2, –1), B(–1, 1)
A)1/2
B)-1/2
C)-2/1
D)2/1
What is 2*9*10? This is for fun! The second answer gets brainiest!!
Answer:
180 ahhahaahahhahaahahahhaa
Answer:
180
Hope your having a good day, Love :)
Stay strong.
I'd love some help with this, and I'll mark brainliest! :))
Answer:
He will work out for a total of 2,835 min or 47.25 hours
He will not meet his minimum workout time for the18 week period
Step-by-step explanation:
The pattern is tat he adds 15 min each week to his work out regime:
Wk1: 30min Wk11:180min
Wk2: 45 min Wk12: 195in
Wk 3: 60 min Wk 13:210min
WK4: 75min Wk 14: 225 min
Wk5 90 min Wk15: 240min
Wk6: 105 min Wk16: 255 min
Wk7; 120min Wk17: 270min
Wk8: 135min Wk 18: 285min For a total of 2,835 min and divide by
60 to get the number of hours= 47.25 hours
Wk9: 150min
Wk 10: 165 min
[[[PLEASE HELP]]] I need to submit this in a few minutes
Answer:
3rd choice) $25.97
Step-by-step explanation:
24.50 * 1.06 = 25.97
!Sure Blame the answer!
Answer:
Second option
Step-by-step explanation:
Math