Answer:
a=567 km+900 km
a=1,467 km
b=567 km+169 km
b=736 km
x^2/a^2+y^2/b^2=1
x^2/(1,467)^2+y^2/(736)^2=1
Step-by-step explanation:
Answer:
x^2 / 736^2 + y^2 / 1467^2 = 1
A student spends 17/35 of his pocket money on transport and fruits. He spends 5/6 of the remainder on sweets. What fraction of his pocket money does he spend on sweets?
Answer:
1/3
Step-by-step explanation:
What is the inequality of -3x-3<6
Answer:
x > -3
Step-by-step explanation:
-3x - 3 < 6
Add 3 to each side
-3x - 3+3 < 6+3
-3x < 9
Divide by -3 remembering to flip the inequality
-3x/-3 > 9/-3
x > -3
Please help!!
Complete each table
Y=1/2x+3
What is the solution to the system of equations?
Answer:
Solution of the system of equations will be (6, 6).
Step-by-step explanation:
Table for the first equation,
[tex]y=\frac{1}{2}x+3[/tex]
x 0 2 4 6 8
y 3 4 5 6 7
(x, y) (0, 3) (2, 4) (4, 5) (6, 6) (8, 7)
We have got the values of y by substituting the values of x in the given equation for the table.
Similarly, for the other equation,
y = 2x - 6
x 0 2 4 6 8
y -6 -2 2 6 10
(x, y) (0, -6) (2, -2) (4, 2) (6, 6) (8, 10)
By analyzing both the tables we find (6, 6) is a common point in both the tables.
That represents the points of intersection of both the lines.
Therefore, solution of the system of equations will be (6, 6)
The amount of energy it takes to lift a box might be a function of which of
the following?
O A. The time of day that you are lifting ít
B. The weight of the objects inside the box
C. The shape of the box
Answer:
The amount of energy it takes to lift a box might be a function of the weight of the objects inside the box. Work is proportional to force and distance. The force of the box is the weight itself of the box. Hence the answer to this problem is B.
Step-by-step explanation:
Which of the following postulates led to the discovery of non Euclidean geometry?
A. A straight line segment can be drawn between any two points.
B. Through a given point not on a given line, there is exactly one line
parallel to the given line.
C. All right angles are equal to one another.
D. Any straight line segment can be extended indefinitely.
The discovery of non-Euclidean geometry will be All right angles are equal to one another. Then the correct option is C.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The discovery of non-Euclidean geometry will be
The straight line segment can be drawn between any two points.Through a given point not on a given line, there is exactly one line parallel to the given line.Any straight line segment can be extended indefinitely.Then the correct option is C.
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can you please help me its too hard
Answer:
12
Step-by-step explanation:
The area of a rectangle is l × w.
x × 11/3 = 44
x = 44 × 3/11
x = 12
According to a survey, 30% of US adults attend
church every Sunday. Suppose two adults from the
US are chosen at random. Let x represent the
number in this sample who attend church every
Sunday. Write the probability distribution of x.
Answer:
The probability distribution of x is given by
P(x) = ⁿCₓ pˣ (1 - p)ⁿ⁻ˣ
Where n is the number of trials, x is the variable of interest and p is the probability of success.
P(x = 0) = 0.49
P(x = 1) = 0.42
P(x = 2) = 0.09
Step-by-step explanation:
The binomial distribution has the following features:
• There are n repeated trials and are independent of each other.
• There are only two possibilities: US adults attend church every Sunday or US adults do not attend church every Sunday
• The probability of success does not change with trial to trial.
Let x represent the number in this sample who attend church every
Sunday, the probability distribution of x is given by
P(x) = ⁿCₓ pˣ (1 - p)ⁿ⁻ˣ
Where n is the number of trials, x is the variable of interest and p is the probability of success.
For the given case
Probability of success = p = 0.30
Number of trials = n = 2
Variable of interest = x = 0, 1, 2
For P(x = 0):
Here we have x = 0, n = 2 and p = 0.30
P(x = 0) = ²C₀(0.30⁰)(1 - 0.30)²⁻⁰
P(x = 0) = 0.49
For P(x = 1):
Here we have x = 1, n = 2 and p = 0.30
P(x = 1) = ²C₁(0.30¹)(1 - 0.30)²⁻¹
P(x = 1) = 0.42
For P(x = 2):
Here we have x = 2, n = 2 and p = 0.30
P(x = 2) = ²C₂(0.30²)(1 - 0.30)²⁻²
P(x = 2) = 0.09
Which is an example of a survey involving quantitative data? the favorite food of each person the number of cavities each person has had the color of the walls in each person’s bedroom the type of car that each person owns
Answer: Number of Cavities
Determine the length of AB .Write your answer in simplest form.
Answer:
Multiply to find your answer
Step-by-step explanation:
Answer:
AB= 4
Step-by-step explanation:
Big ideas :)
billy buys a fridge vat at the rate of 20% is applied to the price of the fridge billy pays a total price of £480 for the fridge work out the price of the fridge before the vat is added
Answer:
$400
Step-by-step explanation:
Seeing as VAT adds to the original price we needed to go DOWN in value to find the original price. So all I did was go through trial and error and I went and saw what 20% of number like 450 and 420 were and then I added them to the price to see if it would get to £480. So when I checked 20 percent of 400 I got 80 which added to 400 gives the market price of £480.
A triangle has two sides of lengths 7 and 9. What value could the length of
the third side be? Check all that apply
A, 5
B. 2
TI C. 13
D. 110
TE! 8
DIN F. 22
Answer:
5, 13, 10, 8
Step-by-step explanation:
hello, so for this question keep in mind the triangle inequality theorem which states- a side must be smaller than the sum of the other two sides.
go through each of the choices.
a. 5+7=12 12>9
b.2+7=9 9>9 this cant be the answer since 9 is equal to nine, not greater than,
c. 13+7=20 20>9
d.10+7=17 17>9
e.8+7=15 15>9
f.22+7=29 29>9 although 29 is greater than 9, we also have to keep in mind that the other 2 sides must also be greater than the other side. so try 7+9= 16. 16 isnt greater than 22 so it can’t be one of the answers.
hope this helped :)
Solve for x in the triangle. Round your answer to the nearest tenth.
Answer:
5 . 8Step-by-step explanation:
[tex]Hypotenuse = 8\\Adjacent = x\\ Angle = \alpha = 43\\\\Using ; SOHCAHTOA , \\Cos \alpha = \frac{adj}{hyp} \\Cos 43 =\frac{x}{8} \\0.73= \frac{x}{8} \\x = 0.73*8\\x = 5.84\\x = 5.8[/tex]
I hope i am correct
The value of (-7) 2 is negative. True or false? Please help me!!!! :'(
Answer:false
Step-by-step explanation:
(-7)^2
(-7)*(-7)
49
49 is a positive number
Answer:
It is false
Step-by-step explanation:
It is false because if you have two groups of negatives, it is positive. (-7)^2 is the same as -7x-7. Two negatives equal a positive, so the answer should be 49. 49 is positive so it is false.
Connie owns x books. Her friend Alma owns
7 more than 2 times the number Connie
owns. So Alma owns 2x + 7 books.
If x is 16, what is 2x + 7?
Enter the correct answer.
Answer:
39 books
Step-by-step explanation:
Solve the equation in order of PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction)
2(16) + 7
Multiply 2(16) first.
2(16) = 32
Then add 7.
32 + 7 = 39
Divide using long division.
(3x3 + 2x2 + 10) = (x - 3)
Answer:
do we have opitions
Step-by-step explanation:
The result of dividing (3x³ + 2x² + 10) by (x - 3) is 3x² + 11x + 33 with a remainder of 109.
dividing (3x³ + 2x² + 10) by (x - 3) using long division
3x² + 11x + 33
_______________________
x - 3 | 3x³ + 2x² + 0x + 10
-(3x³ - 9x²)
_______________________
11x² + 0x + 10
-(11x² - 33x)
_______________________
33x + 10
-(33x - 99)
_______________________
109
The result of dividing (3x³ + 2x² + 10) by (x - 3) is 3x² + 11x + 33 with a remainder of 109.
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Use the zero product property to find the solutions to the equation x2 - X-6 = 0.
x= -3 or x = -2
x= -3 or x = 2
Ox= -2 or x= 3
O x= 2 or x = 3
Answer:
third option
Step-by-step explanation:
Given
x² - x - 6 = 0 ← in standard form
(x - 3)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x + 2 = 0 ⇒ x = - 2
Answer:
x = -2 or x = 3
Step-by-step explanation:
The answer to your question is C.
7. A company manufactures shaving sets for $5 each and sells them for $7 each. How many shaving sets must be sold for the
company to recover an initial investement of $45,000 and earn an additional $15,000 as profit?
The company has to sell
$15,000 as profit.
shaving sets to recover an initial investment of $45,000 and earn an additional
Answer:
The company has to sell 30,000 sets.
Step-by-step explanation:
Cost of each set = $5
Sale of each set = $7
Profit on each set = $7 - $5 = $2
Let
Number of sets = x
Profit on x number of sets = ($2) · x
Recovery of initial investment = $45,000
Additional profit = $15,000
Total Profit desired = $45000 + $15000 =$60,000
Which means that we have to find the number of sets sold, which can earn us a total profit $60,000, from which $45000 are the recovery of initial investment and $15000 are additional profit.
We can conclude that:
Profit on x number of set = Total profit desired
($2) · x = $60,000
x = $60,000 / $2
x = 30,000 sets
Help i suck at math .....will mark brainiest for the correct answer
Answer:
B= 30; A = 60
Step-by-step explanation:
just that it ur welcome
Answer:
B=60, A=30
Step-by-step explanation:
Which number line shows the solution set for |g+2| > 3?
Hey there! :)
Answer:
The 2nd choice.
Step-by-step explanation:
Begin by solving the inequality |g + 2| > 3. There is a negative and positive solution:
g + 2 > 3
g > 1
-(g + 2) > 3
-g - 2 > 3
-g > 5
g < -5
Therefore, the number-line showing solutions LESS THAN -5 and GREATER THAN 1 is the 2nd choice.
**Remember, for '<' and '>' signs without the EQUAL TO, the points are open circles.
Answer:
B)
Step-by-step explanation:
correct on edge test ✅
Help please!!! A.) C and B B.) C and D C.) L and W D.) A and B
What is the solution to the equation 9(w – 4) – 7w = 5(3w – 2)?
w = –StartFraction 34 Over 13 EndFraction
w = –2
w = StartFraction 6 Over 13 EndFraction
w = 26
Answer:
W=2.615
Step-by-step explanation:
9w-36-7w=15w-2
2w-36=15w-2
15w-2w=-36+2
13w=34
w=34/13
W=2.615
What is the value of x?
Answer:
x = 28
Step-by-step explanation:
We can use ratios to solve
x x+10
------ = -----------
42 42+15
Using cross products
42(x+10) = x(42+15)
42x+420 = 57x
Subtract 42x from each side
420 = 15x
Divide by 15
420/15 = x
28 =x
Name the angle pairs that are vertical angles. Use paper and pencil. Describe an instance where you see vertical angles every day.
Answer:
Step-by-step explanation:
angle pair for vertical angles is called straight angle....
the joining between two pages of a book is a vertical angle....
the road itself is a vertical angle
Jason went shopping he bought a watch and a pair of trainers for a total price of £53.55 this price includes a 15% loyalty discount. before the discount, the trainers were priced at £38 work out the price of the watch before the discount
please help me
I'm struggling
Answer:
£25
Step-by-step explanation:
Total price- £53.55
Pair of trainers cost- £38 before discount
Discount= 15%
Cost of pair of trainers after discount:
£38 - 15%= £38*0.85= £32.3Price of the watch after discount:
£53.55 - £32.3= £21.25Price of the watch before discount:
£21.25/0.85= £25Simplify 6(3+4) -5(1+2) need answer
Answer:
27
Step-by-step explanation:
[tex]6(3+4)-5(1+2)= \\\\6(7)-5(3)= \\\\42-15= \\\\27[/tex]
Hope this helps!
Answer:
27
Step-by-step explanation:
6(3+4)-5(1+2)=
6(7)-5(3)=
42-15=
27
15. Solve for x in the diagram.
Х
9
12
A. 15
B. 25
C. 14
O D. 37
Answer:
15Solution,
Hypotenuse(h)=X
Perpendicular (p)=9
Base(b)=12
Now,
Using Pythagoras theorem,
[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ or \: {x}^{2} = {(9)}^{2} + {(12)}^{2} \\ or \: {x}^{2} = 81 + 144 \\ or \: {x}^{2} = 225 \\ or \: x = \sqrt{225} \\ or \: x = \sqrt{ {(15)}^{2} } \\ x = 15[/tex]
hope this helps...
Good luck on your assignment...
The length of the hypotenuse in the given triangle is A. 15 units.
This type of question makes a right-angled triangle that can be solved by Pythagoras's theorem.
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
Given, the base of the triangle is 12 units and the height is 9 units.
∴ x² = 9² + 12².
x² = 144 + 81.
x² = 225.
x = + 15 units.
So, the length of the hypotenuse is 15 units.
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Find the equation of the line whose slope is 2 and which passes through the point (-2, 4).
Answer:
Equation of a line is y = mx + c
where m = slope and c = y intercept
Using point ( -2 , 4) and m = 2
Equation of the line is
y - 4 = 2(x + 2)
y - 4 = 2x + 4
y = 2x + 4 + 4
y = 2x + 8
Hope this helps.
Equation of a line passing through (-2, 4) and slope '2' will be,
y = 2x + 8
Given in the question,
Slope of the line 'm' = 2Line passes through a point (-2, 4)Equation of a line passing through a point (h, k) and slope 'm' is given by the equation,
y - k = m(x - h)
Substitute the values in the given equation,
y - 4 = 2[x - (-2)]
y - 4 = 2(x + 2)
y = 2x + 4 + 4
y = 2x + 8
Therefore, equation of the line passing through (=2, 4) and slope '2' will be y = 2x + 8
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Question is the ScreenShot C:
A. 12
B. 13
C. 16
D. 18
Answer:
B. 13
Step-by-step explanation:
[tex]10+(\frac{1}{2}) ^{4} *48=\\\\10+\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*48=\\\\10+\frac{1}{16}*48=\\\\10+\frac{48}{16}=\\\\10+3=\\\\13[/tex]
Answer:
B. 13 is the answerStep-by-step explanation:
First, use PEMDAS
Parenthesis, Exponents, multiplication, division, addition, subtraction
1/2 * 1/2 * 1/2 * 1/2 = 1/16 = Parenthesis and Exponents
1/16*48 = 48/16 = 3 = Multiplication and Division
3+10 = 13 = Addition
This can conclude that 13 is the answer.
Square Root of 40,75,90,245,450,640,675 values to nearest hundredth show work.
Answer:
√40 ≈ 6.32
√75 ≈ 8.66
√90 ≈ 9.49
√245 ≈ 15.65
√450 ≈ 21.21
√640 ≈ 25.30
√675 ≈ 25.98
Step-by-step explanation:
You can use your calc or estimate your answer by simplifying (like √640 is 8√10, and estimate the square root of 10). However, getting decimals will require you to use a calc.
The hypotenuse of a triangle is 19cm calculate the length of the shortest side
Answer:
It is either 1 or 0.9
Step-by-step explanation:
COS=. adjacent / hypotenuse
adjacent = x
hypotenuse =19
COS= x / 19
cross multiply
x = COS (9)
x=0.91113026
The length of shorter side is 9.5 cm.
What is Trigonometry?The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
Ratio = 1 : 2 : 3
Hypotenuse = 19 cm
The sides are x, 2x and 3x.
x+ 2x + 3x = 180
6x= 180
x= 30 degree
and, 3x= 90 degree
Now, using Trigonometry
sin 30 = y/ 19
y= 19/2
y= 9.5
Hence, the length of shorter side is 9.5 cm
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