Answers
Answer:
A van can carry 15 students and a bus can carry 21 students
Step-by-step explanation:
System of Equations
There are separate trips to the water park for which vans and buses were rented. Let's call the variables:
x = number of students that a van can carry
y = number of students that a bus can carry
6 vans and 8 buses were filled with 246 students. This leads to the equation:
6x + 8y = 246
Dividing by 2:
4x + 3y = 123 [1]
4 vans and 8 buses were filled with 228 students. Thus, we form the equation:
4x + 8y = 228 [2]
Subtracting [2] minus [1]:
5y = 228 - 123 = 105
Dividing by 5:
y = 105/5 = 21
y = 21
From [1]:
4x + 3*21 = 123
4x + 63 = 123
Subtracting 63:
4x = 60
Dividing by 4:
x = 60/4 = 15
x = 15
A van can carry 15 students and a bus can carry 21 students
Related Questions
k - 873 = -695
What is the answer
Answers
Answer:
k= -1,568
Step-by-step explanation:
I am pretty sure this is the answer if not I am soo sorry
Answer:
178 is the answer......
Suppose that a person's peak blood alcohol level is0.04 (grams per 100 mL) and that this level decreases by 20% each hour.
Answers
Answer:
Step-by-step explanation:
incomplete question
please help
this is due at noon so anyone who knows this help me.
Answers
Answer:
70x+4^2+3
Step-by-step explanation:
what is the slope of the line with the following equation? (y-3)= -4(x-5)
Answers
Answer:
slope = - 4
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 3 = - 4(x - 5) ← is in point- slope form
with slope m = - 4
Answer:
-4
Step-by-step explanation:
First express it in the form of y=mx+b where m is the slope and b is the y-intercept
y-3=-4x+20
y=-4x+20+3
y=-4x+23 then m=-4 which is the slope
100 POINTS! SOLVE FOR X. PIC ATTACHED. Random answers will be reported.
Answers
Answer:
x = 29Step-by-step explanation:
The angles (2x- 10) and (4x+ 16) are consecutive interior angles and therefore are corresponding
Corresponding angles sum to 180
(2x - 10) + (4x + 16) = 1806x + 6 = 1806x = 174x = 174/6x = 29help me please quickly
Answers
Answer:
(1) 4
Step-by-step explanation:
Isolate x.
[tex]\frac{x-2}{3}[/tex] + [tex]\frac{1}{6}[/tex] = [tex]\frac{5}{6}[/tex]
[tex]\frac{x-2}{3}[/tex] = [tex]\frac{5}{6}[/tex] - [tex]\frac{1}{6}[/tex]
[tex]\frac{x-2}{3}[/tex] = [tex]\frac{2}{3}[/tex]
[tex]\frac{x-2}{3}[/tex] × 3 = [tex]\frac{2}{3}[/tex] × 3
x - 2 = 2
x = 2 + 2
x = 4
Look at the image bel9w
Answers
Answer:
it's your answer
Step-by-step explanation:
60+5(6÷2)
60+30÷10
60+3
63
18+(10-6)square
18+(100-36)
18+64
82
List 4 true angle facts about the illustration created by
AD intersects FK at point M.
Answers
Mr. Tang gives a math test worth 90 points that contain 25 questions. Multiple-choice questions are worth 3 points and word problems are worth 4 points. How many of each type of question are there?
Answers
Answer:
m=10
w=15
Step-by-step explanation:
m + w = 25
3m + 4w = 90
Let's do substitution, first by solving the first equation for m.
m = 25 - w
Substitute!
3(25 - w) + 4w = 90
75 - 3w + 4w = 90
w = 15
m = 25 - 15 = 10
7 candes cost £45.29,
how much would 25 candles cost?
Answers
Answer:
161.75
Step-by-step explanation:
45.28 divided by 7 = 6.47
6.47 per cande
6.47 times 25 = 161.75
Walking Robert walks 7 blocks east from his home and arrives at his favorite restaurant. When he arrives, he discovers that he dropped his wallet along the way. He retraces his steps for 5 blocks until he finds his wallet. An expression for how many blocks east Robert is from his home after finding his wallet is the sum 7+(−5).
Answers
Answer:
2 block east from home
Step-by-step explanation:
Given an expression for how many blocks east Robert is from his home after finding his wallet as the sum 7+(−5),
Simplifying the given expression
7+(-5) = 7-5 (note that the product of a plus and minus sign will give a minus sign)
7-5 = 2
Hence Robert will be 2 block east from home
11 (9+ d)
simplify
help me pleas
Answers
Answer:
it issss 99+11d :)
Step-by-step explanation:
hope I helped
Answer:
99 + 11d
Step-by-step explanation:
11(9+d)
distribute the 11 into the ( )
99 + 11d
Hope this Helps!!!
A recipe for grape Gatorade calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice.
1. How much sparkling water would you need to mix with 9 quarts of grape juice?
(Please help)
Answers
Answer: 3 1/2
Step-by-step explanation:
Yes
Answer:3 1/2
Step-by-step explanation:
find the value of x in each of the given triangles.
Answers
Answer:
7.5
Step-by-step explanation:
10x + 8x + 6x = 180°
24x = 180°
x = 180°÷24
× = 7.5
HOPE IT HELPS YOU.
HOPE IT HELPS YOU.
HOPE IT HELPS YOU.
please help for bainlest
Answers
Answer:
[tex]\frac{5}{12}[/tex]
Step-by-step explanation:
[tex]\frac{3}{4} -\frac{1}{3}[/tex]
Find the common denominator and multiply each side by that number
[tex]\frac{9}{12} -\frac{4}{12}[/tex]
[tex]\frac{5}{12}[/tex]
For bolded part in explanation: 4·3=12 3·3=9
3·4=12 1·4=4
expand and simplify (x-4)(x-1)
Answers
Step-by-step explanation:
(x - 4)(x - 1)
= x² - x - 4x + 4
= x² - 5x + 4.
Answer:
[tex]\huge(x - 4)(x - 1) \\ \huge= {x}^{2} - x - 4x + 4 \\ \huge = {x}^{2} - 5x + 4[/tex]
(x^2-5x+4) is the right answer.Select the equation that is true.
Answers
Answer:
you didnt attach anything
Step-by-step explanation:
Miguel designs a square garden. Each side length is 3x + 5. Write an expression to find the perimeter of Miguel’s garden.
Answers
Answer:
12x+20
Step-by-step explanation:
Perimeter of a garden = 4s, s being the length of the side
In this case, s = 3x+5
substitute the equation
4(3x+5)
=12x+20
Hi , how to do 5(d)?
Answers
Answer:
d)[tex] \frac{dy}{dx} = - \frac{6}{(2x - 5)^{4} } [/tex]
Gradient of curve at y= ⅛ is [tex] - \frac{3}{8} [/tex].
Step-by-step explanation:
Please see the attached pictures for the full solution.
10. The hour hand of a clock is 8 cm long.
What area does it cover in:
(a) 12 hours?
Answers
Complete the sentences to explain how to multiply 4.56 x 1,000
Answers
Answer 4560
Step-by-step explanation:
Take 1,000 over 4.56 and mutiply 6 times all the zeros wich gets
Take 6 times 1 and thats 6
And repeat that until you run out of dights which in this case is just 4.56
Cpm homework 8.1.1 problems 8-5, 8-6, 8-7, 8-9 I can’t find the answers nowhere and it’s so hard I need to show answers.
Answers
8-6b. 20
8-6c. 48
8-6d. 108
8-7 C and H are not polygon, the rest are all polygon
The solutions are,
8-6a. 110
8-6b. 20
8-6c. 48
8-6d. 108
8-7 C and H are not polygon, the rest are all polygon
The area of the figure is 45 sq.mi and the perimeter is 23.5354 mi.
What is Area ?Area is the space occupied by a two dimensional object,
The area and perimeter of the given shape can be determined by dividing it into basic shapes.
here, we have,
The area and the perimeter of the shape given
= Area of the rectangle +Area of upper triangle - Area of two small triangles at the bottom
Area of rectangle = 5 mi * 9 mi = 45 sq.mi
Area of upper Triangle = (1/2) *9*3 = 27/2 sq.mi
Area of small Triangle = (1/2) * 3*6 = 9 sq.mi
Area of other small Triangle = (1/2)*3*3 = 9/2 sq.mi
Area of the figure = 45 +13.5 -9-4.5
Area of the figure = 45 sq.mi
Similarly for Perimeter = Perimeter of the rectangle +Perimeter of upper triangle -Perimeter of two small triangles at the bottom
Perimeter = 28 -(3+6+6.708) -(3+3+4.2426) +(3+9+9.486
Perimeter = 23.5354 mi
Therefore , The area of the figure is 45 sq.mi and the perimeter is 23.5354 mi.
To know more about Area
brainly.com/question/27683633
#SPJ2
Find the length of each segment write your answer in simplest radical form. I NEED HELP ASAP
Answers
Answer:
1. 5
2. [tex]\sqrt{85}[/tex]
3. [tex]\sqrt{26}[/tex]
Step-by-step explanation:
1. just count the units: 5 units
2. Find the slope = rise/run = -7/6
you now have a right triangle, one side is 7 units (from the rise), and the other is 6 units (from the run)
use the pythagorean theorem to find the hypotenuse.
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]7^{2} + 6^{2} = c^{2}[/tex]
49 + 36 = [tex]c^{2}[/tex]
85 = [tex]c^{2}[/tex]
[tex]\sqrt{85} = \sqrt{ c^{2}[/tex]
[tex]\sqrt{85} = c[/tex]
Simplify the radical, but [tex]\sqrt{85}[/tex] is farthest that it can go, so that is the answer.
3. same process as 2
slope = -1/5
[tex]1^{2} + 5^{2} = c^{2}[/tex]
1 + 25 = [tex]c^{2}[/tex]
26 = [tex]c^{2}[/tex]
[tex]\sqrt{26} = c[/tex]
That is the farthest it can go, so that will be the answer.
Convert 4pi/5 to degrees.
Answers
Answer:
To convert radians to degrees, multiply by 180π , since a full circle is 360° or 2π radians. Cancel the common factor of π .
Answer:
144∘
Step-by-step explanation:
4π5⋅180∘π=144∘
A line passes through the points (-1, 2) and (7,6). What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer:
[tex]y = \frac{1}{2} x + \frac{5}{2} [/tex]
Step-by-step explanation:
hope this helps!
Four friends share 10 fruit bars equally. How many fruit bars does each friend get?
Answers
Answer:
2.5
Step-by-step explanation:
10 / 4 = 2.5
plzzzzzz i will give u a thank u and 5 stars
Answers
Answer:
the answer is 440 square inches.
you just have to multiply all the numbers.
Answer:
B. 440 square inches
Step-by-step explanation:
all you have to do multiply 5x8x11 = 440
I honestly don’t understand this. Can someone explain/help me with it?
Answers
Answer:
2 - 7 x
Step-by-step explanation:
How many solutions does this system have?
y = 5 x minus 1. y = negative 3 x + 7.
no solutions
one unique solution
two solutions
an infinite number of solutions
Answers
Answer:
One
Step-by-step explanation:
There will be one unique solution of the equation y = 5x - 1 and y = 3x + 7. The correct option is B.
What is a system of equations?A finite collection of equations for which we searched for common solutions is referred to in mathematics as a system of equations, sometimes known as a set of simultaneous equations or an equation system. Similar to single equations, a system of equations can be categorized.
A linear equation can only have one unique solution, which is a location at which the LHS and RHS of the equation are equal. There is only ever one solution to a linear equation with one variable.
y = 5x - 1
y = 3x + 7
5x - 1 = 3x + 7
2x = 8
x = 4
y = 19
Therefore, there will be one unique solution of the equation y = 5x - 1 and y = 3x + 7.
To know more about the system of equations follow
https://brainly.com/question/25976025
#SPJ6
Here is a list of numbers:
10, 3, -2, 19, -19, 4, 13, 6, 7
State the median.
Answers
Answer:
the answer is 6
Step-by-step explanation: