Kegan thought that the solution to this equation might be around 10.
Does that make sense to you?
4x − 20 = 2x + 8
Answer:
x=14
Step-by-step explanation:
collect like terms, like so
Answer:4(x−2)−8=4+2x
Use the distributive property to multiply 4 by x−2.
4x−8−8=4+2x
Subtract 8 from −8 to get −16.
4x−16=4+2x
Subtract 2x from both sides.
4x−16−2x=4
Combine 4x and −2x to get 2x.
2x−16=4
Add 16 to both sides.
2x=4+16
Add 4 and 16 to get 20.
2x=20
Divide both sides by 2.
x=
2
20
Divide 20 by 2 to get 10.
x=10
Step-by-step explanation:
. What number decreased by 5% of itself equals 703?
Answer:
The number is 740
Step-by-step explanation:
Hello!
Let the number that we want to solve for be x.
100% of x is x, but a decrease of 5% if 95% of x.
Solve for x95% of x = 7030.95x = 703x = 703 ÷ 0.95x = 740The number is 740.
Check5% of 740 0.05(740) = 37740 - 37 = 703The solution is correct.
HELP PLEASE !!!!!!!!
Answer:
Graph B
Step-by-step explanation:
Point-line graphs are usually used to compare data over a course of time, and bar graphs are more commonly used to compare statistics between different data sets (in this case it is between different countries)
I need help to find the slope of graph.
Answer:
slope m = - [tex]\frac{7}{3}[/tex]
Step-by-step explanation:
Carmen will spend more than $35 on gifts. So far, she has spent $22. What are the possible additional amounts she will spend?
Answer:
Anything more than $13
Step-by-step explanation:
1/5 is 40% of what number
Answer:
8
Step-by-step explanation:
To get a fraction of a number, we will simply multiply this fraction by the number.
Sam walks 100 m north and then 100 m east. How far is she from her starting position? Give your answer to a sensible degree of accuracy.
Answer- 200m
: Right now Sam is 200m far from her starting point
What is the answer please?
Step-by-step explanation:
this simply means that the coordinates are multiplied by the scale factor.
(a, b) -> (a×k, b×k)
that's it.
so, the first answer is correct.
Find the coordinates of the midpoint of the line segment with endpoints at ( 6, -7) and (-3,5)
Answer:
Coordinates of the midpoint are ( 9/2 , -6 )
There are eleven divers on a swim team. If the team can only send four divers to a competition, how many ways can they send four?.
Please help me with this
The probability of not picking a red marble is 0.2.
The probability of picking a yellow or green marble is 0.5
The probability of drawing an even number of a number greater than 4 is 1.
The probability of getting heads and an even number is 1.
The probability of drawing a 2 or a 4 is 0.25.
What are the probabilities?Probability determines how likely it is for an event to happen. The chances of the event occurring lies between 1 and 0.
The probability of not picking a red marble = (number of all the marbles - red marbles) / total marbles
4/20 = 0.2
The probability of picking a yellow or green marble = (number of yellow marbles / total number of marbles) + (number of green marbles / total number of marbles)
2/20 + 8/20 = 10/20 = 0.5
The probability of drawing an even number of a number greater than 4 = (number of even numbers / total numbers) + (numbers greater than 4 / total numbers)
5/10 + 5/10 = 1
The probability of getting heads and an even number is = (side that is head / total sides) x (even numbers on a die / total numbers on a die)
1/2 x 3/6 = 1
The probability of drawing a 2 or a 4 = 1/8 + 1/8 = 2/8 = 0.25
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A team of 3 QA testers and l QA team lead is working on a project. The team finishes
the job and is paid. The testers receive $1200 each, and the team lead receives S600
more than the average salary of the entire team. How many dollars does the team lead
get?
The team-lead gets $2000 if the team of 3 QA testers and l QA team lead is working on a project. The team finishes the job and is paid.
What is average?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
Let's suppose the team lead salary is x and the team-lead receives, $600 more than the average salary of the entire team then,
The team lead salary:
[tex]\rm x = \dfrac{1200+1200+1200+x}{4} + 600[/tex]
4x = 3600+ x+ 2400
3x = 6000
x = $2000
Thus, the team lead gets $2000 if the team of 3 QA testers and l QA team lead is working on a project. The team finishes the job and is paid.
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A side of the triangle below has been extended to form an exterior angle of 141°. Find
the value of x.
A person works full time and gets paid $1,240 semi-monthly. Determine the annual
income.
With a solution.
At first we should calculate Monthly income by multiplying 2 then After multiplying by 12 to calculate Annual income
Ms. lewis has 20 students in her p.e. class.
she puts each student's name in a hat and will select
the names of 2 students at random as team leaders for
a volleyball game. how many different pairs of team
leaders could she choose?
Considering the definition of combination, she could choose 190 different pairs of team.
What is combinationCombinations of m elements taken from n to n (m≥n) are called all the possible groupings that can be made with the m elements in such a way that not all the elements enter; the order does not matter and the elements are not repeated.
To calculate the number of combinations, the following formula is applied:
[tex]C=\frac{m!}{n!(m-n)!}[/tex]
The term "n!" is called the "factorial of n" and is the multiplication of all numbers from "n" to 1.
Different pairs of team leadersMs. lewis has 20 students in her p.e. class. She puts each student's name in a hat and will select the names of 2 students at random as team leaders for a volleyball game.
So, you know that:
m= 20n= 2Replacing in the definition of combination:
[tex]C=\frac{20!}{2!(20-2)!}[/tex]
Solving:
[tex]C=\frac{20!}{2!18!}[/tex]
C= 190
Finally, she could choose 190 different pairs of team.
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Express 0.57 in the form p where p and q are integers o and q # 0
please give with correct step everyone
Answer:
57/100
Step-by-step explanation: 0.57 can also be written as 57/100 which is equal to 0.57
One thousand unit cubes are fastened together to form a large cube with edge length 10 units; this is painted and then separated into the original cubes. The number of these unit cubes which have at least one face painted is:
Based on the number of unit cubes that are fastened together, the number of cubes which will have at least one face painted on is 488 cubes.
How many cubes will have one face painted on?The cubes formed one large cube which means that each surface is one cube deep. So two cubes will be painted.
The number of unpainted cubes per surface is therefore:
= 10 - 2
= 8 cubes
Number of unpainted cubes is:
= 8 x 8 x 8
= 512 cubes
Number of cubes with one face painted:
= Total cubes - Number of unpainted cubes
= 1,000 - 512
= 488 cubes.
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If AD=2:5 the coordinates of point F are. Point E has the coordinates (3.8, -3) and the coordinates of point D are
Using the assumed coordinates of point F, the coordinates of point D are (3,3)
How to determine the coordinates of D?The given parameters are:
Ratio, m : n = 2 : 5
E = (3.8, -3)
The coordinates of point D is calculated using:
[tex]D = \frac{1}{m + n} * (mx_2 +nx_1,my_2 +ny_1)[/tex]
So, we have:
[tex]D = \frac{1}{2 + 5} * (2x_2 +5*3.8,2y_2 +5*-3)[/tex]
Evaluate the sum and the products
[tex]D = \frac{1}{7} * (2x_2 +18,2y_2 -15)[/tex]
Assume the coordinates of point F are:
F = (1.5,18);
The equation becomes
[tex]D = \frac{1}{7} * (2*1.5 +18,2*18 -15)[/tex]
Evaluate
[tex]D = \frac{1}{7} * (21,21)[/tex]
This gives
D = (3,3)
Hence, the coordinates of point D are (3,3)
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Question 8
Suppose that f and g are functions which are inverse of each other. What happens when f is
composed to g or vice versa?
O The composition is always x.
O The composition is always-x.
O The composition is always 1.
O The composition is always 0.
The composition of the function and its inverse function is always one. Then the correct option is C.
What is the inverse of a function?Suppose that the given function will be
f: X → Y
Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is
f⁻¹: Y → X
such that:
[tex]\forall \: x \in X : f(x) \in Y, \exists \: y \in Y : f^{-1}(y) \in X[/tex]
(and vice versa).
It simply means that the inverse of 'f' is a reverse operator, that takes back the effect of 'f'
Suppose that f and g are functions that are inverse of each other.
When f is composed of g or vice versa. Then the composition will be
We know that the composition of the function and its inverse function is always one. Then we get
When f is composed of g or vice versa. Then the composition will be 1.
Thus, the correct option is C.
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Find the coordinates of the midpoint of the lines joining the following pairs of points:. 1. (3,-6) and (5,8). 2. (-4,-2) and (1,-3)
Answer:
(4, 1)(-3/2, -5/2)Step-by-step explanation:
The coordinates of the midpoint of a line segment are the average of the coordinates of the end points.
M = (A +B)/2
__
1.M = (3 +5, -6 +8)/2 = (8, 2)/2 = (4, 1)
The midpoint coordinates are (4, 1).
__
2.M = (-4 +1, -2 -3)/2 = (-3, -5)/2 = (-3/2, -5/2)
The midpoint coordinates are (-3/2, -5/2).
You just really like math to answer this one ngl
Answer:
p(a tail on the second toss) = 4/8
p(exactly one head) = 3/8
p(a head on each of the last two tosses) = 2/8
Step-by-step explanation:
Find 3 consecutive positive integers such that the product of the larger 2 is equal to twice the second integer plus twice the sum of all 3 integers
Step-by-step explanation:
x, x+1, x+2 are the 3 consecutive positive integers.
(x+1)(x+2) = 2(x+1) + 2×(x+x+1+x+2)
x² + 3x + 2 = 2x + 2 + 2×(3x + 3)
x² + 3x + 2 = 2x + 2 + 6x + 6 = 8x + 8
x² - 5x - 6 = 0
we can solve this by finding the factoring.
that means we find a, b so that
(x - a)(x - b) = x² - 5x - 6 = 0
because then x = a and x = b are the 2 solutions of the quadratic equation.
we have
x² - ax - bx + ab = x² - (a+b)x + ab = x² - 5x - 6
a+b = 5
ab = -6
that means, either a or b must be 6 and the other -1.
so we get
(x - 6)(x + 1) = 0
x = 6
or
x = -1
since we are only looking for positive integers, the x = -1 solution is invalid, and we get only x = 6 as solution.
therefore the 3 consecutive positive integers are
6, 7, 8
It's consumer math. I need help asap. #1
Answer:
949$
Step-by-step explanation:
You get 460$ the first year, then 488 in the second.
Natalia has total assets valued at 7,285 and total liabilities valued at 6,735. What is her net worth?
Natalia Net worth will be 550 having Assets= 7285 and liabilities= 6735
Net worth= 550
What is Assets and Liabilities?
Assets are the items your company owns that can provide future economic benefit. Liabilities are what you owe other parties.
Given that: Assets= 7285, liabilities= 6735
As we know,
Total Net worth= Total Assets - Total Liabilities
= 7285- 6735
= 550
The Net worth= 550
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find the remainder when x³-2x²+4x-2 is divided by (x-1/2)
Answer:
[tex]\sf \bf {remainder}: -\dfrac{3}{8}[/tex]
In order to find remainder:
Follow this short technique:
Set the divisor which is x-½ to zero.
x - 1/2 = 0
x = 1/2
Then insert this following into dividend.
x³ -2x² + 4x - 2insert x = ½
(½)³ - 2(½)² + 4(½) -2simplify
-3/8Answer:
-3/8
Step-by-step explanation:
Let's assume x - 1/2 is a zero of the polynomial :
Substitute x = 1/2 (the zero) in the equationx³ - 2x² + 4x - 2(1/2)³ - 2(1/2)² + 4(1/2) - 21/8 - 2(1/4) + 2 - 21/8 - 1/2-3/8-3/8 is the remainder.
Find the volume of a pyramid with a square base, where the area of the base is 5.5\text{ cm}^25.5 cm
2
and the height of the pyramid is 6.4\text{ cm}6.4 cm. round your answer to the nearest tenth of a cubic centimeter.
Answer:
17.3 cm³
Step-by-step explanation:
The volume of a pyramid is given by the formula ...
V = 1/3Bh
where B is the area of the base, and h is the height.
__
The volume of a square pyramid with base area 5.5 cm² and height 6.4 cm is ...
V = 1/3(5.5 cm²)(6.4 cm) ≈ 17.333... cm³
The volume of the pyramid is about 17.3 cm³.
What is the length of AP?
Answer: 4) 24
Step-by-step explanation:
7513% [tex]\frac{5}{3x^{2} }[/tex] x³ Find the Product Show All work!
[tex]\\ \rm\Rrightarrow \dfrac{7513/100\times 5x^3}{3x^2}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{75.13(5)x^3}{3x^2}[/tex]
[tex]\\ \rm\Rrightarrow {125.22x}[/tex]
What is the area of the pentagon, rounded to the nearest tenth?
13.8 cm2
17.3 cm2
32.7 cm2
69.0 cm2
The area of the pentagon, rounded to the nearest tenth will be 32.7 square cm. Then the correct option is C.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
A regular pentagon has an apothem measuring 3 cm and a perimeter of 21.8 cm.
Then the side length of the pentagon will be
5 x Side length = 21.8 cm
Side length = 4.36 cm
Then the area of the pentagon, rounded to the nearest tenth will be
Area of pentagon = 5 x area of triangle
Area of pentagon = 5 x 1/2 x 4.36 x 3
Area of pentagon = 32.7 square cm
Thus, the correct option is C.
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Sam is saving money to buy himself a new phone. He currently has $95. He is able to save about $20 a week. Let represent how much money he has saved, and the number of weeks that have passed since the current date. Choose the correct function rule.
a. s(w) = 95 + 20w
b. s(w) = 95w + 20
c. w(s) = 95s + 20
d. w(s) = 95 + 20s
Answer:
the correct answer is d
Step-by-step explanation:
w(s)=weeks saved and 20s is the gain of 20 dollars every week. and the 95 is the starting amount that sam had
