Step-by-step explanation:
The system of equations for eq 1 which is 3x + y = 118 represents the Green High School which filled three buses(with a specific number of students identified as x) and a van(with a specific number of students identified as y) with a total of 118 students.
for eq 2; 4x + 2y = 164; represents Belle High School which filled four buses(with a specific number of students identified as x) and two vans(with a specific number of students identified as y) with a total of 164 students.
The solution represents the specific number of students in the buses and vans in eq1 and eq 2 with x being 36 students and y being 10 students.
substituting 36 for x and 10 for y in eq 1;
3(36) + 10 = 108 + 10 = 118 total students for Green High School
substituting 36 for x and 10 for y in eq2;
4(36) + 2(10) = 144 + 20 = 164 total students for Belle High school
PLEASE HELP ME AND MY FRIEND NEED THIS QUESTION ANSWERED PLEASE HELP
Answer:
[tex]V_{cone} =65.94\: cm^3[/tex]
Step-by-step explanation:
Height of cone (h) = 7 cmBase radius (r) = 3 cmFormula for Volume of cone is given as:[tex]V_{cone} = \frac{1}{3}\pi r^2h[/tex]Plugging the values of h and r in the above formula, we find:[tex]V_{cone} = \frac{1}{3}(3.14) (3)^2(7)[/tex][tex]\implies V_{cone} = \frac{1}{\cancel 3}(3.14) (\cancel 9)(7)[/tex][tex]\implies V_{cone} = (3.14) (3)(7)[/tex][tex]\implies V_{cone} =65.94\: cm^3[/tex]
Differentiate each of the following expressions with respect
to x
(a) (x^2+ 1)(x - 3)^4
Answer: (A(x2+1)x-3)^=134
Step-by-step explanation: what me my brother did was just look it up
16. Tahlia has 12 cups of flour in her pantry. Each time she bakes cookies, she uses 2 cups of
Flour.
a. Write an expression that gives the cups of flour Tahlia has left in terms of n, the
number of times she has baked cookies.
FLOUR
b. Use factoring to write an equivalent expression to the expression in part a.
1
TI 2015
Answer:
a. 12 cups - 2 * n cups b. 2 * (6-n) cups
Step-by-step explanation:
a.
we start with 12 cups of flour
we subtract 2 cups of flour for each baking cycle
thus, cups of flour = 12 cups - 2 cups for each cycle
2 cups for each cycle = 2 cups * number of cycles = 2 cups * n
cups of flour = 12 cups - 2 * n cups
b.
note that 12 is a multiple of 2 -- 2 * 6 = 12
thus, 12 cups = 2* 6 cups
cups of flour = 12 cups - 2 * n cups = 2 * 6 cups - 2 * n cups
factor out the 2
cups of flour = 2 * (6-n) cups
Consider the diagram below.
Find the value of x
Enter each line of work as an equation.
Answer:
x = 4
Step-by-step explanation:
We know that,
A parallelogram is a quadrilateral whose opposite sides are parallel.
Then the value of x will be,
→ 5x - 16 = 4
→ 5x = 4 + 16
→ 5x = 20
→ x = 20/5
→ [ x = 4 ]
Verification of the value of x,
→ 5x - 16 = 4
→ 5(4) - 16 = 4
→ 20 - 16 = 4
→ 4 = 4
→ [ LHS = RHS ]
Hence, the value of x is 4.
What is the exact volume of the cylinder?
Cylinder with radius labeled 4 inches and height labeled 8 inches
32π in³
64π in³
128π in³
512π in³
A car dealership sold 232 cars in 4 months. At what rate did the dealership sell cars in cars per month?
Answer:
58 cars
Step-by-step explanation:
232 divided by 4 = 58
Write the quadratic function in vertex form: f(x) = 8x + 2x - 5
What does it mean when someone states "she gave it 110" how can this comment be explained using math?
Answer:
It means you put full effort into what you're doing, because in math, 100% is perfect, but 110% is more than perfect, so they are saying she put extreme effort into the problem.
a
- A glass display box has a surface area of
378 square inches. How many square
OT
inches of glass are used to create a glass
display box with dimensions that are one-
bovom
half those of the original? (Example 1)
SVRUSU
Answer:
94.5 in²Step-by-step explanation:
Given
Area of glass display box is 378 in²The scale factor is 1/2We know that the area is the function of two dimensions
To find the surface area of the display box we need to multiply the surface area of the original by the square of the scale factor
A = (1/2)²*378 = 378/4 = 94.5 in².
6) The function of f(x) = x2 – 3 is given.
Find f(-2)
Answer: 4
Step-by-step explanation:
The given function :
The average rate of change in a function g(x) from x=a to x=b is given by :-
Then, the average rate of change of the given function from x = 1 to x = 3 will be :-
x = 1 to x = 3 is 4
Classify the polynomial by the number of
terms.
5x2 + 3x – 8
[tex]\large\textsf{\textbf{Answer\::}}[/tex]
trinomial
[tex]\Large\textsf{\textbf{Calculations\::}}[/tex]
If a polynomial has one term , it's a monomial .
If a polynomial has two terms , it's a binomial .
If a polynomial has three terms , it's a trinomial .
If a polynomial has 4 or more terms , it's a polynomial .
Since the given polynomial has three terms , it's a trinomial .
[tex]\footnotesize\texttt{hope\:helpful~}[/tex]
Danielle has the following averages in her math class: Homework Avg.: 80, Quiz Avg.: 84, Test Avg.: 74, Final Exam: 60. The teacher weights Homework at 10%, Quizzes at 30%, Tests at 40%, and the Final Exam at 20%. How many points did Danielle earn in the HOMEWORK category?
Answer:
75
Step-by-step explanation:
-given averages-
-Homework Avg : 80
-Quiz Avg.: 84-
-Test Ayg: 74
-Final Exam: 60
-weights
-Homework at 10%,
-Quizzes at 30%,
-Tests at 40%
-Final Exam at 20%
Homework points:
simplify the following expression. (-3b+5)-(8b-3)
Answer:
-11b+8
Step-by-step explanation:
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
[tex] \large\underline{ \boxed{ \sf{★\:Given\: expression★ }}}[/tex]
(-3b+5)-(8b-3)[tex]\rule{70mm}{2.2pt}[/tex]
★ 1st step
Opening brackets to continue operation by multiply ( - ) sign with (8b-3) which gives u[tex]\sf{➛ - 3b + 5 - 8b + 3}[/tex]
★ 2nd step
Arranging terms[tex]\sf{➛ -3b - 8b + 5 - 3}[/tex]
★ 3rd step
solving the expression which give[tex]\sf{➛ - 11b + 2}[/tex]
[tex]\rule{70mm}{2.2pt}[/tex]
[tex] \pink{ \boxed{\underline{ \boxed{ \sf{✠ \: -11b+2 \: ✠}}}}}[/tex]
Hope it helps !
please explain Algebraic Equation
Hey can someone please help me with this question. Im having a hard time with them.
Answer:
B
Step-by-step explanation:
The event of a baby boom would cause a huge growth in the population whilst the other options would create ethical and financial issues with having many children.
For the following graph, determine if the graph represents a polynomial function. If it is a polynomial function, then determine the number of turning points and the least degree possible.
a.Yes, this graph represents a polynomial. There are two turning points and the least degree possible is three.
b.This is not a polynomial. There are no turning points as the curve represents an odd function.
c.Yes, this graph represents a polynomial. There are two turning points and the least degree possible is two.
d.This is not a polynomial. There are no turning points as the curve is always increasing.
Using function concepts, it is found that the correct option is given by:
a.Yes, this graph represents a polynomial. There are two turning points and the least degree possible is three.
What is the least degree possible of a polynomial?Supposing a polynomial with n turning points, the least possible degree is of n + 1.
In this problem, the polynomial has 2 turning points, hence the least possible degree is of 3 and option a is correct.
More can be learned about functions at https://brainly.com/question/25537936
#SPJ1
The area of a
rectangle is 105 square centimeters. The
width of the rectangle is 7 centimeters.
What is the perimeter of the rectangle?
area=l×w
l=area/w
l=105/5
l=15
perimater=l+w
perimater=15+7
perimeter=22
2. Before the war, Kim Il-Sung informed the Soviet Union and China of his plan to invade
Before the beginning of the Korean War, Kim II-Sung had established his plans to invade South Korea and shared them with Soviet Union and China.
Why did Kim II-Sung invade South Korea?To be able to spread communist ideologies across the neighboring countries, Kim II-Sung planned to invade South Korea for the same.
Soviet Union and China also joined hands, as they were also focused on wide-spreading the communal ideologies throughout the world.
Hence, it may be stated that the invasion of South Korea took place for spreading communism.
Learn more about South Korea invasion here:
https://brainly.com/question/451168
#SPJ1
Answer:
All answers.1. Kim Il-Sung was the leader of
✔ North Korea.
2. Before the war, Kim Il-Sung informed the Soviet Union and China of his plan to invade
✔ South Korea.
3. The South Korean government was led by President
✔ Syngman Rhee.
4. South Korea’s leadership arrested and killed thousands of
✔ alleged North Korean agents.
Step-by-step explanation:
100%Luna measured the elementary school and made a scale drawing. The schoolyard, which is 175 meters long in real life, is 25 centimeters long in the drawing. What scale did Luna use for the drawing?
Answer:
1 cm : 7 m
Step-by-step explanation:
25 cm : 175 m simplifies to 1 cm : 7 m
Thomas wants to double the volume of his original box. what could be the new dimensions of the box? recorded in length, width, height.
14 x 8 x 4 inches
16 x 10 x 4 inches
14 x 10 x 2 inches
28 x 10 x 2 inches
The possible dimension of the new box is 16 x 10 x 4 inches
The complete questionThomas buys a box that is 8 by 10 by 4 inches. Thomas wants to double the volume of his original box. what could be the new dimensions of the box? recorded in length, width, height.
How to determine the possible dimensions?The dimension of the box is given as:
Dimension: 8 by 10 by 4
So, the volume of the box is:
Volume = 8 * 10 * 4
When the volume is doubled, we have:
Volume = 2 * 8 * 10 * 4
Evaluate the product
Volume = 16 * 10 * 4
This means that the possible dimension of the new box is 16 x 10 x 4 inches
Read more about volumes at:
https://brainly.com/question/1972490
#SPJ4
I need the answer asap!!!!
Which expression is equivalent to 6x+ 8?
2(3x-4)
2(3x+4)
2(4x+6)
2(3x+8)
What are the square numbers between 73 and 186
Answer:
8^2 64 =8 X 8
9^2 81 =9 X 9
10^2 100 =10 X 10
11^2 121 =11 X 11
12^2 144 =12 X 12
13^2 169 =13 X 13
Hope it helps :))
The diagram shows inner perimeter of a running track.
a. The total length must be 400m. Fund the length of the straight sides.
b. The track has 6 lanes, each 1.5m wide. Find the difference in the length between the outer and inner perimetres.
Answer:
Complete the sentence.
is 8 times as much as 10.
Step-by-step explanation:
you have to divide it by the length
Will give brainliest look at pitcure
Answer:
x = 15
Step-by-step explanation:
angle FoH = 360° - 90° - 90° - angle G
= 180° - 75°
= 105°
17x° = 360° - angle FoH
17x° = 360° - 105°
17x° = 255°
x = 255 ÷ 17
x = 15
HOPE THIS HELPS AND HAVE A NICE DAY <3
help me pls reallly fast pls
Answer:
180 degrees.
Step-by-step explanation:
A supplementary angle is an angle which either of two angles whose sum is 180°.
No matter how big the triangle grows, the angles will stay the same degrees all throughout.
Pretty sure this is what you needed, hope this helps!
what’s the area and the perimeter and of the triangle?
Answer:
42.9
Step-by-step explanation:
8.25x 5.2
Triange formula = b x h
The perimeter of ΔABC is 13 cm. It was dilated to create ΔA'B'C'.
What is the perimeter of ΔA'B'C'?
1. 13 cm
2. 26 cm
3. 39 cm
4. 52 cm
Perimeter of ΔA'B'C' is 52 cm.
The perimeter of ΔABC is =13 cm
Length of OB = 5 cm
Length of OB' = 15 + 5 = 20 cm
The Dilation factor can be found out b
ΔOCB and ΔOC'B' are similar as BC|| B'C'
From triangles ΔOCB & ΔOC'B' the dilation factor can be found out
by the formula below
[tex]\frac{BC}{B'C'} =\frac{5}{20}[/tex]
B'C'= 4BC
so the dilation factor = 4
hence the new perimeter of the triangle = 13 4 = 52 cm
for more information please refer the link below
https://brainly.com/question/20502441
Answer:D
Step-by-step explanation:
How do I solve this?
Answer:
Step-by-step explanation:
6x + 11y = 45
9x + 9y = 45
-18x - 33y = -135
18x + 18y = 90
-15y = -45
y = 3
6x + 33 = 45
6x = 12
x = 2
i need the awnsers to this asap
Answer:
27.2 I believe
Step-by-step explanation:
Theren is a pattern in the numbers, the dollar is going up by 2 while the cents are going down by 2, if you follow the pattern till you get to 15 in pounds, the you'll get 27.2
Need the answer for this
Answer:
Just B and C
Step-by-step explanation:
Not A as cost is always increasing with x.
Yes B as is x squared relationship
Yes C as 15*9 = 135
No D as it is a squared relationship so much more than double
Not E as the the cost increases by a different amount for each increase in x.
