Answer:
C) 14
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, add 6 to both sides:
3x - 6 (+6) = 36 (+6)
3x = 36 + 6
3x = 42
Next, divide 3 from both sides:
(3x)/3 = (42)/3
x = 42/3
x = 14
c) 14 is your answer.
~
How do you find the height of this trapezoid?
Answer:
Step-by-step explanation:
sin 60 = h/12
h = 12sin60
h = 12* √3/2 = 6√3 cm
A cone and a cylinder have the same height and their bases are congruent circles
If the volume of the cylinder is 90 cm^3,
what is the volume of the cone?
Answer:
30 cm³
Step-by-step explanation:
Volume of cone is ⅓ of volume of cylinder , when they have same radius and height.
Volume of cone = ⅓ × 90 = 30 cm³
Write the number in standard form. 6.45×10^−4
Answer:
.000645
Step-by-step explanation:
.0006.45
move the decimal place 4 places to the Left because it is a negative.
Need help with this
Answer:
5 to the power of -2
Step by Step explanation:
Because you are diving, you need to subtract the powers.
For example, you subtract 10 from 12 to get -2
The 5 remains the same so the answer should be 5 to the power of -2
Hope this helps
TeeVee Electronics, Inc., makes console and wide-
screen televisions. The equipment in the factory allows +
for making at most 450 console televisions and 200
wide-screen televisions in one month. It costs $600 per
unit to make a console television and $900 per unit to
make a wide screen television. The profit on each
console television is $125 per unit, while the profit for
each wide screen television is $200 per unit. During the -
month of November, the company can spend $360,000 to make these televisions. To
maximize profits, how many of each type should they make?
LET
Answer:
First we need to put all the given information in a table, that way we'll express it better into inequalities.
Cost Production Max.
Console screen (x) $600 450
Wide-screen (y) $900 200
$360,000
We have:
[tex]600x+900y \leq 360,000[/tex]
Because they can't spend more than $360,000 in production.
[tex]x\leq 450\\y\leq 200[/tex]
Because the number of television is restricted.
The profit function is
[tex]P(x,y)=125x+200y[/tex] (this is the function we need to maximize).
First, we need to draw each inequality. The image attached shows the region of solution, which has vertices (0,200), (300,200), (450, 100) and (450,0).
Now, we test each point in the profit function to see which one gives the highest profit.
For (300,200):
[tex]P(300,200)=125(300)+200(200)=37,500+40,000=77,500[/tex]
300 console screen and 200 wide screen give a profit of $77,500.
For (450,100):
[tex]P(450,100)=125(450)+200(100)=56,250+20,000=76,250[/tex]
450 console screen and 100 wide screen give a profit of $76,250.
Therefore, to reach the maximum profits, TeeVee Electronic, Inc., must produce 300 console screen televisions and 200 wide-screen televisions to profit $77,500,A company is trying to calculate the amount of
concrete that will be needed to create one concrete
block that is in the form below.
The concrete block is a rectangular prism with two
cubes cut out. The cubes have a side length of 6
inches.
What is the total volume, cubic feet, of concrete
needed to make this block?
Answer:
[tex]0.19\,\,cubic\,\,feet[/tex]
Step-by-step explanation:
Given:
The concrete block is a rectangular prism with two cubes cut out. The cubes have a side length of 6 inches.
To find: total volume, cubic feet, of concrete needed to make this block
Solution:
Side of cube = 6 inches
Volume of cube = [tex](side)^3=6^3=216\,\,cubic\,\,inches[/tex]
So, volume of two cubes = 2(216) = 432 cubic inches
Length of rectangular prism = 12 inches
Breadth of rectangular prism = 8 inches
Height of rectangular prism = 8 inches
Volume of rectangular prism = length × breadth × height = [tex]12(8)(8)=768 \,\,cubic\,\, inches[/tex]
Total volume of concrete needed to make this block = Volume of rectangular prism - Volume of two cubes = 768 - 432 = 336 cubic inches = [tex]\frac{336}{1728} =0.19\,\,cubic\,\,feet[/tex]
( use 1 cubic inch = [tex]\frac{1}{1728} \,\,feet[/tex])
help quick!!!!?????
Omg I’m so sorry to interrupt but I really need help on my homework :( it’s two questions for 20 points||| can someone please help
Answer:
none
Step-by-step explanation:
57+75+95= 227
24+70+75= 169
48+64+80= 192
19+27+80=73
A right triangle equals 180 degrees.
The point P(x,y) lies on the terminal side of an angle theata = -60 degrees in standard position. What are the signs of the values of x and y
Answer:
a
Step-by-step explanation:
a
Consider the triangle shown. Triangle R P Q is shown. Angle Q R P is 40 degrees. Angle R P Q is 105 degrees. Angle P Q R is 35 degrees. Which shows the sides in order from longest to shortest? Line segment P Q, line segment R Q, line segment R P Line segment R Q, Line segment P Q, line segment P Q Line segment R Q, line segment R P, line segment P Q Line segment R P, line segment P Q, line segment R Q
Answer:
RQ, PQ and RP.
Step-by-step explanation:
Note: Options are not correct.
From the given information, in triangle RPQ
[tex]\angle QRP=40^\circ[/tex]
[tex]\angle RPQ=105^\circ[/tex]
[tex]\angle PQR=35^\circ[/tex]
In a triangle, greatest angle has longest opposite side and smallest angle has shortest opposite side
Now,
[tex]\angle RPQ>\angle QRP>\angle PQR[/tex]
[tex]RQ>QP>PR[/tex]
[tex]RQ>PQ>RP[/tex]
Therefore, the order from longest to shortest is RQ, PQ and RP.
Answer:
RQ, PQ and RP.
Step-by-step explanation:
Find the product of each sum and difference.
(21+9)(21-9)
30 12
Step-by-step explanation:
21 + 9 equals 30 21 - 9 equals 12
How would you factor 6a - 15
Sarah claims that when you divide, the number you are dividing always gets smaller. John says this is not true. Who is correct? If John is correct, give a counterexample.
A) Sarah is correct.
B) John is correct. A counterexample is 4 ÷ 5.
C) John is correct. A counterexample is 4 ÷ 1.25.
D) John is correct. A counterexample is 4 ÷ 1/2
Answer:
D
Step-by-step explanation:
John is correct as Dividing does not always gets the quantity smaller for example if we divide 4 by 0.5
We get
4/0.5= 8
Evaluate the expression below for x = 2, y = –3, and z = –1.
A.
–23
B.
–5
C.
13
D.
27
Correct question:
Evaluate the expression below for x = 2, y = –3, and z = –1.
Given: [tex] x^2 z^2 -y^2(x+z) [/tex]
Options:
A.–23
B.–5
C.13
D.27
Answer:
B. -5
Step-by-step explanation:
In this question we are given the following values:
x = 2
y = -3
z = -1
Given the expression:
[tex] x^2 z^2 -y^2(x+z) [/tex]
To evaluate, let's substitute for 2, -3 & - 1 for x, y & z respectively
Therefore,
[tex] x^2 z^2 -y^2(x+z) [/tex]
Substituting values, we have:
[tex] (2^2) (-1^2) - (-3^2)(2+(-1)) [/tex]
Simplifying, we have:
[tex] [(2^2) (-1^2)] - [(-3^2)(2-1)] [/tex]
[tex]= [(4) (1)] - [(9)(1)] [/tex]
[tex]= 4 - 9[/tex]
= -5
The correct answer is option B
Please answer #5 A-C!
Answer:a
Step-by-step explanation:I know
What is the equation of a line with a slope of -2 that passes through the point (6, 8)?
A. 2x + y = 20
B. y-2x = 4
C. y-2x = 20
D. 2x + y = 4
Answer:
2x+y = 20
Step-by-step explanation:
The equation for a line is y = mx+b where m is the lope and b is the y intercept
y = -2x+b
substitute the point into x and y
8 = -2(6) +b
8 = -12+b
Add 12 to each side
20 =b
y = -2x+20
Add 2x to each side
2x+y = 20
Answer: 2x+y = 20
Step-by-step explanation:
The equation for a line is y = mx+b where m is the lope and b is the y intercept
y = -2x+b
substitute the point into x and y
8 = -2(6) +b
8 = -12+b
Add 12 to each side
20 =b
y = -2x+20
Add 2x to each side
2x+y = 20
find the missing letter N if the width is 2ft and the area equal 28 sq ft
Answer:
Step-by-step explanation:
Area = 28 Sq.ft
length * width = 28
2 * n = 28
Divide both sides by 2
2n/2 = 28/2
n = 14 ft
(x*y)*z=144
x = y*3
z = y*2
please help
Answer:
whats the question that u need help with
The senior class at Snellville rented and filled 12 vans and 14 buses with 796 students. General High rented and filled 14 vans and 12 buses with 738 students. How many students would fill 2 buses and 3 vans?
Answer:
133 students would fill 2 buses and 3 vans
Step-by-step explanation:
Let x be the no. of students in each van
No. of students in 12 vans = 12x
No. of students in 14 vans = 14x
Let y be the no. of students in each bus
No. of students in 14 buses = 14y
No. of students in 12 buses = 12y
We are given that The senior class at Snellville rented and filled 12 vans and 14 buses with 796 students.
12x+14y=796 ---1
We are also given that General High rented and filled 14 vans and 12 buses with 738 students.
14x+12y=738 ---2
Plot 1 and 2 on graph
12x+14y=796 --- Green line
14x+12y=738 --- Purple line
Intersection point gives the solution
Intersection point=(x,y)=(15,44)
No. of students in 1 van = 15
No. of students in 3 vans = [tex]15 \times 3 = 45[/tex]
No. of students in 1 bus = 44
No. of students in 2 buses =[tex]44 \times 2 = 88[/tex]
So,Total no. of students in 3 vans and 2 buses = 45+88=133
Hence 133 students would fill 2 buses and 3 vans
Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.
11.21 m
34 m
5 m
6 m
Answer:
755 m²; 785 m²
Step-by-step explanation:
In the picture attached, the prism is shown.
Lateral area = perimeter of base * height
The base is a right triangles, then its perimeter is:
perimeter: 5 + 6 + 11.21 = 22.21 m
Lateral area = 22.21*34 = 755 m²
Surface area = lateral area + 2 (Area of base)
The base is a right triangles, then its area is:
area of base = (1/2)*5*6 = 15 m²
Surface area = 755 + 2*15 = 785 m²
What is the product of the binomials below?
(5x + 2)(4x +4)
You can use the FOIL method (First, Outer, Inner Last) as how most people prefer it.
5x*4x=20x^2
5x*4=20x
2*4x=8x
2*4=8
Combine them all together and you get 20x^2 + 28x +8
I hope this helps.
Answer:
20x^2 + 28x + 8
Step-by-step explanation:
you use the box method shown in the picture to multiply then combine like terms
Please help with question off algebra nation
Answer:I’m on that same question and I need help to
Step-by-step explanation:
Answer:
Table C is a linear function. Table A is an exponential function. And lastly table B is a quadratic function.
Step-by-step explanation:
I know that table C is linear because it has a constant rate of change the whole entire time.
I know table A is exponential because of the way it drastically increases at the end.
And lastly I know that table B is quadratic because if I were to graph it and keep on placing points, it would make a parabola.
I hope I helped.
Sara solved the equation -6(x-2) + 3x = -3(x+3) + 21 What is the solution?
pls help :)
To solve you can use inverse operations.
Here are the steps to find the answer:
1. Write out the equation: -6(x-2)+3x= -3(x+3) +21
2. Distribute both sides: -6x+12+3x= -3x-9+21
3. Simplify both sides: -3x+12=-3x+12
4. This equation is true for all values, or infinity, because the equation is the same on both sides
Let me know if you need further explanation. I hope this helps.
What are the solution(s) of the quadratic equation 98 - x2 = 0?
x = +27
x= 163
x = 17/2
no real solution
Answer: it’s c
Step-by-step explanation:
Identify the equation or inequality of the graph
A)2x-3y=6
B)3x+2y=-6
C)2x-3y=-6
D)3x-2y=6
Answer:b
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
What is the value of x when 1/3x=9 1/3?
Helppp nowww
Answer:
x=28
Step-by-step explanation:
[tex]\frac{1}{3} x=9\frac{1}{3} \\\frac{1}{3} x=\frac{28}{3} \\x=28[/tex]
The value of x is 28.
What is mixed fraction?
A mixed fraction represented with its quotient and remainder is a mixed fraction.
How to convert a mixed fraction fraction into an improper fraction?To convert a mixed fraction into improper fraction first we multiply the denominator of the proper fraction to the whole number attach with it then we add the numerator.
According to the question:
we have
[tex]\frac{1}{3}x =9\frac{1}{3}[/tex]
for finding the value of x
[tex]\frac{1}{3}x =9\frac{1}{3}[/tex]
⇒[tex]\frac{1}{3}x=\frac{28}{3}[/tex]
⇒[tex]\frac{3}{3} x= 3[/tex]×[tex]\frac{28}{3}[/tex] (multiply both the sides by 3)
⇒ [tex]x= 28[/tex]
The value of x is 28.
Learn more about for finding the value of x here:https://brainly.in/question/11504807
#SPJ2
PLEASE HELP ME
I NEED IT
Answer:
[tex]\sqrt{24}[/tex]
Step-by-step explanation:
[tex]4\frac{4}{9}[/tex] cannot be correct because it equals 4.4.
[tex]\sqrt{20}[/tex] cannot be correct because it equals 4.5.
480% is 480/100 which equals 4.8 which is also not correct.
Therefore, [tex]\sqrt{24\\}[/tex] is correct because it is greater than 4.8 and less than 5.0.
19. Alyse is writing down some notes to argue her case as to how the
body functions when riding a bike. Select the correct phrases below to
help finish these notes.
Answer: Bro write the question better
Step-by-step explanation:
Hunter decides to invest $840,000 in a period annuity that earns a 4.2% APR,
compounded monthly, for a period of 30 years. How much money will Hunter
be paid each month?
Answer: $4107.74
Step-by-step explanation:
If you save $3,000 at an interest rate of 14 percent per year, how much will you have at the end of six years? The interest should be compounded. A. $5,805.96 B. $6,502.34 C. $6,584.91
Answer:
C.) $6,584.91
Step-by-step explanation:
Amount earned in compound interest = P(1 + r)^n;
where P is the principal,
r is the rate and n is the number of periods.
Amount = 3,000(1 + 14%)^6 = 3,000(1 + 0.14)^6 = 3,000(1.14)^6 = $6,584.91
Answer:
C) 6584.91
Step-by-step explanation:
plato
please help me please please please please
Answer: [tex]2\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]-2\frac{1}{3}-(-5)=[/tex]
Convert the mixed number to improper fraction. You can do this by multiplying the whole number times the denominator and adding the numerator; over the same denominator.
[tex]-\frac{2*3+1}{3} -(-5)=[/tex]
Solve;
[tex]-\frac{6+1}{3} -(-5)=[/tex]
[tex]-\frac{7}{3} -(-5)=[/tex]
Now, get rid of the two negatives by multiplying.
[tex]-\frac{7}{3} +5=[/tex]
Remember 5 has a 1 below; therefore, we can subtract these two fractions by getting both to a same denominator. Let's rewrite 5 as a fraction.
[tex]-\frac{7}{3}+\frac{5}{1} =[/tex]
To be able to convert 1 to 3, we have to multiply by 3. Remember that if you change the denominator, you have to change the numerator as well.
[tex]-\frac{7}{3}+\frac{5}{1} (\frac{3}{3} ) =[/tex]
Solve;
[tex]-\frac{7}{3}+\frac{15}{3} =[/tex]
Subtract numerators and keep the same denominator.
[tex]\frac{-7+15}{3}=\frac{8}{3}[/tex]
Convert to a mixed number. To do this, first, divide:
8/3=2
6
----
2
The 2 after the equal sign is the whole number, the two in the remainder is the numerator and the 3 is the denominator. Leaving our result as: [tex]2\frac{2}{3}[/tex]
