The solution to the equation is 6 if equation is 6(2x - 11) + 15 = 21 the answer is 6.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have a mathematical equation:
6(2x - 11) + 15 = 21
DIstributive property:
12x - 66 + 15 = 21
Subtraction property:
12x -51 = 21
Add 51 on both side:
12x -51 + 51 = 21 + 51
12x = 72 (adding like terms)
x = 6 (divide by 12 on both side)
Thus, the solution to the equation is 6 if equation is 6(2x - 11) + 15 = 21 the answer is 6.
Learn more about the arithmetic operation here:
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How to simplify algebraic expression 8z+4f-6 using z=3 and f=9
What is the surface area of the rectangular prism below?
A. 823 u
B. 740
C. 700
D. 1260
Answer:
C) 700 unit².
Step-by-step explanation:
Given : A rectangular prism .
To find : What is the surface area of the rectangular prism below.
Solution : We have given that a rectangular prism with
Length = 14 units,
Width = 12 units
Height = 7 units.
Surface area of rectangular prism = [tex]2(length* width\ +\ height*width\ +\ height*length})[/tex].
Plugging the values
Surface area of rectangular prism = 2 ( 14* 12 + 7 *12 + 7 *14)
Surface area of rectangular prism = 2 ( 168 + 84 + 98)
Surface area of rectangular prism = 2 ( 350).
Surface area of rectangular prism = 700 unit².
Therefore, C) 700 unit².
help. i don’t understand this at all!!!!!
what is 16×45÷2
[tex]12 \times 4 + 23 \div 2 + 13 \div 4[/tex]
if your going 20 miles per hour how long will it take you to reach 100 miles
Baileigh is using a piece of string to hang a painting on the wall. The back of the painting is diagrammed below. 36 cm 36 cm 15 cm 15 cm Note: Figure is not drawn to scale. What is the length of the string? A. 78 centimeters B. 102 centimeters C. 39 centimeters D. 51 centimeters
Peter is 2 years older than Winnie. Peter's age is 16 years less than seven times Winnie's age. The equations below model the relationship between Peter's Age (p) and Winnie's age (w):
p=w+2
p=7w-16
Which is a possible correct method to find Peter's and Winnie's ages?
A. Solve w+2 = 7w-16 to find the value of w
B. Solve p+2 =7p-16 to find the value of p
C. Write the points where the graphs of the equations intersect the x axis
D. Write the points where the graphs of the equations intersect the y axis
Answer:
A. Solve w+2 = 7w-16 to find the value of w.
Step-by-step explanation:
Here p represents the age of Peter and w represents the age of Winnie,
Given,
Peter is 2 years older than Winnie.
⇒ p = w + 2 -----(1)
Also, Peter's age is 16 years less than seven times Winnie's age.
⇒ p = 7w - 16 -----(2),
By equating right sides of equation (1) and (2),
We get,
w + 2 = 7w - 16,
Since, this equation is only in the variable w,
Thus, we can find the value of w with help of the above equation,
After putting this value in either of equation (1) or (2),
We can find the value of p.
Hence, option A is correct.
Note : From equation (1) and (2),
w = p - 2 and [tex]w=\frac{p+16}{7}[/tex]
[tex]\implies p-2=\frac{p+16}{7}[/tex]
⇒ Option B is incorrect.
Now, let x represents w and y represents p in the graph,
Then, the solution will be the intersection point of lines y=x+2 and y=7x-16,
Which is shown below,
⇒ Options C and D are incorrect.
Select the two equations that can be used to solve the following inequality
What is the answer to this problem
Use the equation p=8.31/v where p = pressure and V = volume. What happens to the pressure as the volume approaches 0? Explain your reasoning.
Answer:
1 The pressure approaches infinity.
2 The function is undefined for V = 0.
3 There is an asymptote at V = 0.
The pressure tends to infinity.
Given information,
The equation [tex]p=\frac{8.31}{v}[/tex]
Where p= pressure,
v= volume
If the volume approaches [tex]0[/tex] then the pressure [tex]p=\frac{8.31}{v}[/tex] will reach to infinity.
Therefore, the pressure tends to infinity.
For further details refer to the link:
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Julie has read 27 pages out of an 80-page book. What percent of the pages has she read?
Explain how two angles can be complementary angles.
A prism with a volume of 360 yd³ is scaled down to a volume of 45 yd³. What is the scale factor? Enter your answer, as a decimal or a fraction in simplest form, in the box.
Answer:
The scale factor is equal to [tex]\frac{1}{2}[/tex] or [tex]0.5[/tex]
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> the scale factor
[tex]z^{3}=\frac{45}{360}= \frac{1}{8}\\ \\z=\sqrt[3]{\frac{1}{8}}\\ \\z=\frac{1}{2}[/tex]
If 4 apples and 2 oranges equals $1 and 2 apples and 3 oranges equals $0.70, how much does each apple and each orange cost? (Can you do it step by step)
Write and graph an equation in two variables that shows the relationship between the time and distance traveled
Answer:
1=1
Step-by-step explanation:
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Tasha claims that her skateboard weighs about 3 pounds. is Tasha's claim reasonable? Explain
HURRY!!!When are two triangles said to be in perspective?
a.
If the corresponding vertices of two triangles form three lines that intersect in a single point
c.
If the corresponding vertices of four triangles form three lines that intersect in a single point
b.
If the corresponding vertices of three triangles form three lines that intersect in a single point
d.
If the corresponding vertices of two triangles form three lines that intersect in two points.
What is the next number in the following sequence.
0, 1, 1, 2, 3, 5, 8...
a.
9
c.
10
b.
13
d.
11
Help with 4 and 5 please!!
Polygon D is a scaled copy of Polygon C using a scale factor of 6. How many times larger is the area of Polygon D than the area Polygon CCC?
Answer:
Yup...it's 36.
Step-by-step explanation:
What are three rational numbers that are between 1/3 and 1/2?
Convert 0.656 to a fraction. A. 21⁄32 B. 22⁄30 C. 20⁄33 D. 23⁄12
A tennis ball bounces so that its initial speed straight upwards is b feet per second. Its height s in feet at time t seconds is given by s = bt − 16t^2 a) Find the velocity v = ds/dt at time t. b) Find the time at which the height of the ball is at its maximum height. c) Find the maximum height. d) Make a graph of v and directly below it a graph of s as a function of time. Be sure to mark the maximum of s and the beginning and end of the bounce.
Eighteen more than twice a number is 8.Solve for the variable
Suppose the probability that a randomly selected man, aged 55-59, will die of cancer during the course of the year is StartFraction 300 Over 100 comma 000 EndFraction . How would you find the probability that at least 1 man out of 1,000 of this age will die of cancer during the course of the year?
The question is an example of binomial distribution.
P(x=r) = nCr* p^r* q^(n-r) ( nCr = n! / ( (n-r)!*r! )
p = probability of die = 300/100000 = .003
P ( at least one man would die) = 1-P(at most one man would die)
= 1 - [ P(X =0) + P(X= 1)
= 1- [ {1000C0(.003)^0 *(.997)^1000} + { 1000C1(.003)^1 *(.997)^999} ]
= .801
GCF and LCM of 3 and 14
PLSSS HELP!!!
What is the exact volume of the sphere?
56.3⎯⎯π ft³
274.625π ft³
366.16⎯⎯π ft³
1464.6⎯⎯π ft³
Answer:
366.16
Step-by-step explanation:
i promise
a volleyball reaches its maximum height of 13 feet, 3 seconds after its served. Which of the following quadratics could model the height of the vollyball over time after it is served. Select all that apply.
A: f(x)=2x^2+12x+5
B: f(x)=-2x^2+12x-5
C: f(x)=-2x^2-12x+5
D: f(x)=-2(x-3)^2+13
E: f(x)=-2(x+3)^2+13
Answer:
D.
Step-by-step explanation:
Intuitively it's a volleyball game reaching its maximum height, then we must discard the 1st option because of its parameter a >0, and whenever a>0 the parabola makes a curve, rather different than in a volleyball game.
Also, considering Vertex of this parabola by (-b/2a, -Δ/4a) given the fact that the question says the maximum height.
Taking
y= height in feet
x= time in second
Function Vertex (-b/2a, -Δ/4a)=(-3, -13)
A: f(x)=2x²+12x+5 False
B: f(x)=-2x²+12x-5 Function Vertex (-b/2a, -Δ/4a) = (3,23) False
C: f(x)=-2x²-12x+5 Function Vertex (-b/2a, -Δ/4a) = (-3,23) False
D: f(x)=-2(x-3)²+13 Function Vertex (-b/2a, -Δ/4a) = (3,13) True
E: f(x)=-2(x+3)²+13 Function Vertex (-b/2a, -Δ/4a) =(-3,13) False
What is the distance between y = -x+2 and y = -x+4?
Answer:
√2
Step-by-step explanation:
You want the distance between the lines y = -x +2 and y = -x +4.
Distance to a lineThe distance from point (x, y) to line ax +by +c = 0 is given by the formula ...
[tex]d=\dfrac{|ax+by+c|}{\sqrt{a^2+b^2}}[/tex]
ApplicationRewriting the equation of the second line to general form, we have ...
y = -x +4
x +y -4 = 0 . . . . . . . a=1, b=1, c=-4
The equation of the first line is written in slope intercept form, so we can identify the y-intercept as (0, 2). Using this point in the formula for the distance to the second line, we have ...
[tex]d=\dfrac{|1(0)+1(2)-4|}{\sqrt{1^2+1^2}}=\dfrac{|-2|}{\sqrt{2}}=\sqrt{2}[/tex]
The distance between the lines is √2 units.
__
Additional comment
As you can see from the graph, the distance between the lines is the length of the diagonal of a unit square, √2.
the sears tower of Chicago is 1450 feet high. a model is 24 inches tall. what is the ratio of the height of the model to the height of the actual sears tower?
Value times frequency equals product.
True or False
Answer: The correct answer is true
Step-by-step explanation: