4x + 6 = 18
-6 is solution ?
4 * (-6) + 6 = 18 ?
-24 + 6 = - 18
so not the solution
3 is solution ?
4 * 3 + 6 = 18 ?
4 * 3 + 6 = 12 + 6 = 18
YES
Answer:
B. [tex]\displaystyle x = 3[/tex]
Step-by-step explanation:
[tex]\displaystyle 18 = 6 + 4x \hookrightarrow \frac{12}{4} = \frac{4x}{4} \\ \\ \boxed{3 = x}[/tex]
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A vertical mast is held in place by wires from the top of it to the ground the mast is 60m tall and the wires from the top of it to the ground is 25m from the foot of the mats.How long is each wire
Answer:
65 m
Step-by-step explanation:
The length of the mast, 60 m, is a leg of a right triangle.
The distance the wire is from the foot of the mast is the other leg.
The length of the wire is the hypotenuse of the right triangle.
We can use the Pythagorean theorem to find the length of the wire.
a² + b² = c²
60² + 25² = c²
3600 + 625 = c²
c² = 4225
c = 65
Answer: 65 m
The graph of the function f(x) = −3x2 − 3x + 6 is shown. Which statements describe the graph? Select three options.
On a coordinate plane, a parabola opens down. It goes through (negative 2, 0), has a vertex at (negative 0.5, 6.75), and goes through (1, 0).
The vertex is the maximum value.
The axis of symmetry is x = negative one-half.
The domain is all real numbers.
The range is all real numbers.
The function is decreasing from (−∞, 6.75).
A rectangular box with a square base and no top is to have a volume of 108
The value in cubic yards is 3.996yd³.
What is the volume of the rectangular box?The volume of a rectangular box can be calculated if you know its three dimensions: width, length, and height.
A rectangular box with a square base and no top is to have a volume of 108ft³.
We are to convert the dimension to cubic yards. Using the conversion factor
1 ft³ = 0.0370yd³
108ft³ = x
Cross multiply
1 × x = 108 × 0.0370
x = 3.996
Hence, the value in cubic yards is 3.996yd³.
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A teacher assigns a score from 1 to 4 to each student project. the table below shows the probability distribution of the scores for a randomly selected student. which score is most likely? probability distribution score: x probability: p(x) 1 0.06 2 0.20 3 0.48 4 0.26 1 2 3 4
The generalization of the weighted average is the expected value of a distribution. The score that is most likely to occur is 3.
How to find the mean (expectation)?The generalization of the weighted average is the expected value of a Probability distribution. It is given by the formula,
[tex]Mean = E(X) = \sum_{\forall x_i} f(x_i)x_i[/tex]
As we need to calculate the score that is most likely to occur, therefore, we need to calculate the expected value of the given probability distribution, therefore, the expected value can be written as,
[tex]E(x) = \sum xP[/tex]
where x is the score and P is the probability of the score occurring.
[tex]E(x) = (1 \times 0.06)+(2 \times0.20)+(3 \times 0.48)+(4 \times 26)\\\\E(x) = 2.94[/tex]
Since 2.94 is the most expected value to occur which is close to 3, therefore, the score that is most likely to occur is 3.
Also, the probability of score 3 coming is maximum which is equal to 0.48.
Hence, the score that is most likely to occur is 3.
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Answer:c
Step-by-step explanation: just took the test
the statement "If A, then B" can be best described as
help! will give brandie’s t to correct answer
Answer:
0.25+0.6= 0.9166666667 or 11/12
Step-by-step explanation:
hope this helps
A young Witch flew her broom 48 miles form her home to a witch festival. Flying with the wind, the trip took 3 hours. Her flight home against the wind took 4 fours. find the speed of the wind and the speed of the broom in still air
Using the relation between velocity, distance and time, it is found that:
The speed of the wind is of 2 mph.The speed of the broom is of 14 mph.What is the relation between velocity, distance and time?
Velocity is distance divided by time, hence:
[tex]v = \frac{d}{t}[/tex]
Flying with the wind, in which [tex]v = v_b + v_w[/tex] the 48-mile trip took 3 hours, hence:
[tex]v = \frac{d}{t}[/tex]
[tex]v_b + v_w = \frac{48}{3}[/tex]
[tex]v_b + v_w = 16[/tex]
Her flight home against the wind took 4 fours, hence:
[tex]v = \frac{d}{t}[/tex]
[tex]v_b - v_w = \frac{48}{4}[/tex]
[tex]v_b - v_w = 12[/tex]
Adding the two equations:
[tex]2v_b = 28[/tex]
[tex]v_b = 14[/tex]
[tex]v_b + v_w = 16 \rightarrow v_w = 2[/tex]
Hence:
The speed of the wind is of 2 mph.The speed of the broom is of 14 mph.More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569
The area of the path of the width 5 m is surrounded outside the square pond is 900m^2 find the length of the pond
Answer:
180mStep-by-step explanation:
[tex]5m \times xm = 900 {m}^{2} \\ xm = \frac{900 {m}^{2} }{5m} \\ x = 180m[/tex]
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently.
Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300.
Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn.
Salesman C does not earn any commission. His weekly salary is $900.
The weekly paycheck amount for each salesman, p, is a function of the number of sales, s, they had in that week.
Salesman A Salesman B Salesman C
s = 0 (0, ) (0, ) (0, )
s = 1 (1, ) (1, ) (1, )
s 10 (10, ) (10, ) (10, )
Answer 84.500
Step-by-step explanation: you have to multiply 1,300x65 then 300x 40
and then 12,000
Amelia is using substitution to determine if 8 is a solution to the equation. Complete the statements. 6a = 42 for a = 8 First, Amelia must substitute 8 for the using. To simplify, Amelia must. 8 a solution of the equation.
Amelia must substitute 8 for the variable using parentheses. To simplify, Amelia must multiply 8 by 6. 8 is not a solution of the equation.
What is algebraic expression?
Algebraic expression are the expression which consist the variables, coefficients of variables and constants.
The algebraic expression are used represent the general problem in the mathematical way to solve them.
Amelia is using substitution to determine if 8 is a solution to the equation. The equation which is Amelia is solving for a = 8 is,
[tex]6a = 42[/tex]
First, Amelia must substitute 8 for the variable using parentheses as,
[tex]6(8) = 42[/tex]
To simplify, Amelia must. multiply 8 by 6.
[tex]48 \neq 42[/tex]
The left hand side of the eqqation is not equal to the right hand side. Thus, 8 is not a solution of the equation.
Thus, Amelia must substitute 8 for the variable using parentheses. To simplify, Amelia must multiply 8 by 6. 8 is not a solution of the equation.
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Answer:
it is a
Step-by-step explanation:
Complete this pattern please?
Answer:
30, 40, 50, 60, 70
Step-by-step explanation:
PLEASE GUYS I REALLY NEED TO GET A C OR A B IN MATH PLEASE I NEED AT LEAST ONE PERSON TO HELP ME WITH MY SI
The prism below is made of cubes which measure of an inch on one side. What is the volume?
Note: Figure is not drawn to scale.
A.
B.
C.
D.
Answer:
35
Step-by-step explanation:
V=Bh
V = 6(5)
V= 35
Answer: the answer is A. 10/9 cubic in.
Step-by-step explanation:
Which scatterplot represents the data that would be best modeled by a quadratic function?
A scatter plot uses dots to represent values for two different numeric variables and determine whether or not two variables have a relationship or correlation.
What is a scatterplot?
Your information is incomplete. Therefore, an overview of the scatterplot will be given. A scatterplot simply means is a type of plot using Cartesian coordinates to display values for two variables for a set of data.
In this case, a scatter plot uses dots to represent values for two different numeric variables and determine whether or not two variables have a relationship or correlation.
The position of each dot on the horizontal and vertical axis shows the values for an individual data point.
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Little helppp please
Answer:
Answer given above
Step-by-step explanation:
a.) 6 m n^8
b.)2x^8 y^3
c. ) d^3 e
Which is the solution to the inequality?
28
8
15
15
Obc2 1/5
O b>21
o b<373
O b>3
b>
Answer:
b > 3 2/15
Step-by-step explanation:
2 3/5+ 8/15<b
9+8
2-----------=2 17/15
15
=2+ 1 2/15
=3 2/15 <b
b> 3 2/15
Answer:
b > 3 2/15
Step-by-step explanation:
2 3/5 < b - 8/15
Convert the number
2 × 5 + 3/5 < b - 8/15
10 + 3/5 < b - 8/15
13/5 < b - 8/15
Rearrange the terms
-b < -8/15 - 13/5
Transform the expression
-b < -8 - 39/15
Calculate
-b < -47/15
Divide both sides
b > -47/15 = b > 3 2/15
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Deshi has 427 marbles and Elaheh has 394 marbles Deshi wants to give 125 marbles to his little brother how many total marbles will Deshi and Elaheh have after this?
Answer: Deshi will have 302 marbles and Elaheh will have 519.
Step-by-step explanation:
Deshi's Marbles will subtract 125.
427 - 125 = 302.
Elaheh's Marbles will add 125.
394 + 125= 519.
There are 19 students in the class today 14 are absent. How many students are in class total? Draw a tape diagram that would represent this scenario. Solve X
Answer:
5
Step-by-step explanation:
19-14=5
for the Tape diagram just make 19 boxes and fill in 5.
Determine the probability of choosing a pair need help
3-5 1/3 on a number line
A.
when are non-forfeiture provisions used?
when the insured names a beneficiary
b. when the insured stops making premium payments on a cash value policy
c. when the insured converts a term policy
d. when the insured dies and there is a settlement
Answer: should be B
Step-by-step explanation:
What is the mode for the following set of data?
5, 7, 8, 10, 12, 12
10
9
7
12
Answer:
I think it would be 10
Step-by-step explanation:
Hope this helps:)...if not then sorry for wasting your time and may God bless you:)
Answer: The mode is 12 because it is repetitive among the numbers in the set of numbers.
Let f(x)=3x-4 and g(x)=x^2-5. Find f(g(3))
Answer:
hello
g (x)= x² - 5
g (3) = 3² - 5 = 9 - 5 = 4
Step-by-step explanation:
The function g is defined by the following rule.
g(x) = 5x-1
Answer:
Below
Step-by-step explanation:
100 points!!! Please help with this math.
Answer:
12ft
Step-by-step explanation:
A prism is a 3D shape which has the same 2D shape repeated along its length (this is sometimes called the cross section).
The 2D shape at the ends of the prism is the base of the prism, so for this shape, the bases are the triangles.
The height of the prism is actually the length of the prism, so for this prism the height is 12 ft.
Abraam needs bread to make his sandwich for lunch. He'd like to buy a loaf at the best value. At the store, there is a 1 lb. loaf for 80¢ and a 2 lb. loaf for $1.95. per oz. The 1 lb. loaf costs Choose... per oz. and the 2 lb. loaf costs Choose... Abraam should buy the Choose... loaf of bread. Unlimited A
Answer:
loaf 1 costs 5 cents an oz and loaf 2 costs 6 cents a pound so aabrum should but loaf 1
Step-by-step explanation:
What is the area of the shaded sector of the circle? 20pi units squared 40pi units squared 180pi units squared 400
The area of the sector with a radius of 20 units and a central angle of 162° is 180π unit².
What is the sector of a circle?
A sector is the portion of a circle enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger is the major sector.
The radius of the sector =20 units
Central angle subtended by sector = 162° = 162π/180 radians
As we know the area of a sector= 0.5r²α
where r is the radius and α is the central angle.
So, the area of the given sector = 0.5*20²* 162π/180
The area of the given sector = 180π unit²
Therefore, The area of the sector with a radius of 20 units and a central angle of 162° is 180π unit².
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Answer:
its c
Step-by-step explanation:
Phoebe spent $12.87 at the bookstore. She paid with a $20 bill. How much is her change?
Answer:
$7.13
Step-by-step explanation:
Very simple, we subtract 12.87 from 20 and the answer is 7.13.
So should get back $7.13 as her change
.
apair of gloves
that were originally $18 but are
marked 75% off. How much
money did Marissa save?
met
t
h
Answer:
13.5
Step-by-step explanation:
because 18 times 75 equals 1350 then you divide 1350 by 100 and you get 13.5
Find the value of x.
A. 80°
B. 70°
C. 60°
D. 50°
Answer:
A
Step-by-step explanation:
80 degree becaue a triangle = 180 degress
180 - 100 = 80
Simplify 15(10-4-2)
14
015/2
52-4110
O 105-4110
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]
let's simplify ~
[tex]\qquad \sf \dashrightarrow \: \sqrt{5} (10 - 4 \sqrt{2} )[/tex]
[tex]\qquad \sf \dashrightarrow \: ( \sqrt{5} \times 10) - ( \sqrt{5} \times 4\sqrt{2)} [/tex]
[tex]\qquad \sf \dashrightarrow \: 10 \sqrt{5} - 4\sqrt{10} [/tex]