Answers
Solve for x
3x - 10 = x + 40
3x - x = 40 + 10
2x = 50
x = 50/2
x = 25
The value of x is 25, first option
Related Questions
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
Answers
P=w+2
p=7w-16
Compare both equations
7w-16=w+2
Add 16 to both sides.
7w=w+18
Subtract w from both sides.
6w=18
Divide both sides by 6.
w=3, which is the age of Winnie.
Now Peter's age=3+2=5 years
Option A is the correct method to find the age of Peter and Winnie.
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.
Tasha claims that her skateboard weighs about 3 pounds. is Tasha's claim reasonable? Explain
Answers
However, the average skateboard is closer to 6 pounds. So, the skateboard in the question is very possible- but it would be really low quality.
However- given that you are in middle school- I would say yes, it is reasonable.
Explain how two angles can be complementary angles.
Answers
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
Answers
We suspect ...
• the "correct" answers are probably B and D
• whoever wrote the problem wasn't paying attention.
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
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?
Answers
Answer:
Yup...it's 36.
Step-by-step explanation:
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?
Answers
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
Convert 0.656 to a fraction. A. 21⁄32 B. 22⁄30 C. 20⁄33 D. 23⁄12
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GCF and LCM of 3 and 14
Answers
LCM=42.
hope this helps
Will mark brainliest. HELP PLEASE. QUICK
Answers
the bakery sold 65 cheesecakes. 3/5 of the cakes were chocolate. how many chocolate cheesecakes did they sell?
Answers
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.
Answers
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]
Write and graph an equation in two variables that shows the relationship between the time and distance traveled
Answers
Answer:
1=1
Step-by-step explanation:
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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
Answers
Two triangles are said to be in perspective (or as some would call it, homologous) from a point if their corresponding vertices form three lines that intersect in that single point (called a colinear point). Desargues' theorem asserts that if two triangles are in perspective from a point, then they are also perspective from a line (called the perspectrix); for this reason perspective triangles are also calles coplanar triangles.
2. B (13)
The series of numbers shown in the question is known as the Fibonacci Sequence. The next number in the sequence is found by finding the sum of the two numbers that precede it.
1 = 0+1
2 = 1 + 1
3 = 1 + 2
5 = 3 + 2
8 = 5 + 3
Next number is 13 (8 + 5)
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?
Answers
Note 1 doesn't always work for numbers given, but is preferred
24:1450 -> 24/1450
Let's do it step by step of easiest factor to find
An obvious one is 2
24/1450 = 12/725
Can't be simplified
Thus the scale is 12:725
But if 1:x is required we divide it out to get
12:725 is about 1:0.0166
Actual number is irrational and goes on forever
Select the two equations that can be used to solve the following inequality
Answers
if your going 20 miles per hour how long will it take you to reach 100 miles
Answers
20 = 1
*5=*5
100=5 hours
What is the answer to this problem
Answers
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.
Answers
Which BEST describes the speed and velocity of the graph?
A)
Both speed and velocity are changing.
B)
The speed and velocity remain constant.
C)
The speed is constant and velocity is changing.
D)
The velocity cannot be determined from the graph.
Answers
A - Both speed and velocity are changing.
Step-by-step explanation:Though the answer is option A but option D can also be true. The velocity cannot be completely determined from the graph. This is because, velocity is based on the direction and motion and the graph is not completely justifying this.
Though velocity cannot be determined, but it is clear from the graph that velocity is changing, because the speed is changing.
Therefore, option A is completely true.
A)
According to the graph, speed is increasing. Velocity is speed plus direction, so velocity is also changing. And this is an acceleration graph, so you know since acceleration is a change in velocity, both speed and velocity are changing.
If 3n+m=14 and n+m=1, find the value of n-m.
Answers
We can subtract the two equations.
3n+m=14
n+m=1
3n-n=2n
m-m=0
14-1= 13
We are left with:
2n=13
Divide both sides by 2.
n=6.5
Plug that in to find m.
n+m=1
6.5+m=1
Subtract both sides by 6.5.
m=-5.5
Now, put the values for m and n into the last equation for the value.
n-m
6.5-(-5.5)
Two negatives make a positive.
6.5+5.5= 12
The value is 12.
I hope this helps!
~kaikers
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.
Answers
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:
https://brainly.com/question/356585
What is the surface area of the rectangular prism below?
A. 823 u
B. 740
C. 700
D. 1260
Answers
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.
The area of a parallelogram is 375 centimeters the base is 25 centimeters find the height
Answers
By plugging in the information that you have already, we know that: 25*height=375
In other words:
25x=375
x=15
The height is 15cm.
375 divided by 25 equals 15
Answer number one asap this is not a joke so please not random cmts thx will report if u do!
Answers
.. face area = (50 mm)*(90 mm) = 4500 mm^2
The area of two sides of the bar is
.. side area = (50 mm +90 mm)*(3.5 mm) = 490 mm^2
Together, those areas cover half the bar, so the total paper required is
.. 2*(4500 mm^2 +490 mm^2) = 9980 mm^2 . . . . . . 3rd selection
2. The length of the central rectangle is
.. 8 ft + 6 ft + 10 ft = 24 ft
Its width is 7 ft, so its area is
.. Arect = (7 ft)*(24 ft) = 168 ft^2
Each of the two triangles has a base of 8 ft and a height of 6 ft, so together, they have an area of
.. Atriangles = (8 ft)*(6 ft) = 48 ft^2
Then the total area of the prism is
.. Atotal = Arect +Atriangles
.. = (168 ft^2) +(48 ft^2)
.. = 216 ft^2
How to simplify algebraic expression 8z+4f-6 using z=3 and f=9
Answers
8z+4f-6 Substitute the values of z and f
8(3)+4(9)-6
24+36-6
60-6
54
The result of the simplification of the given algebraic expression is 54.
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
Answers
Answer:
366.16
Step-by-step explanation:
i promise
Eighteen more than twice a number is 8.Solve for the variable
Answers
2x+18=8
-18 -18 (subtract 18 from both sides)
2x=-10 (divide by 2)
2 2
x=-5
The answer is -5
what is 16×45÷2
[tex]12 \times 4 + 23 \div 2 + 13 \div 4[/tex]
Answers
720/2
360
12 x 4 + 23 / 2+13 / 4
48 + 23 / 2 + 3.25
48 + 11.5 + 3.25
62.75
Use the Order of Operations to solve. PEMDAS:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
EQUATION #1:
45 ÷ 2 = 22.5
16 × 22.5 = 360
ANSWER:
360
EQUATION #2:
12 × 4 = 48
23 ÷ 2 = 11.5
13 ÷ 4 = 3.25
Since there's no more division, we'll move onto addition.
48 + 11.5 + 3.25 = 62.75
ANSWER:
62.75
*Write down PEMDAS so you'll remember the order of operations!
Help with 4 and 5 please!!
Answers
The magnitude;
Using Pythagoras theorem,
(-200)² + (-530)² = 320900
Length = √320900
= 566.5 mi
To get the angle
Tan θ = opposite/adjacent
= 200/530
= 0.3774
θ = tan^-1 (0.3774)
= 20.67
≈ 21°
The direction from the Cartesian plane is south of west.
Therefore, the magnitude and the direction will be;
About 566.5 mi, 21° south of west
Question 5.
To get the resultant of two vectors we just add the two vectors given.
This involves adding the corresponding values.
Thus, for <-6,5> and <6,-5>
Resultant vector = <(-6+6),(5+-5>
= <0,0>
What are three rational numbers that are between 1/3 and 1/2?