For the given data the monthly charges for Jim’s mobile phone will be £31.31.
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 basic four operators that are +, -, ×, and ÷.
It is given that, Monthly charge of £20,100 for free minutes then 9p per minute for 200 free texts, then 11p per text. During one month, Jim makes 140 minutes of calls and sends 261 texts.
If there are 100 free minutes then it cost 9p per minute as a result, The charge is applied for calls,
40x9=£3.60
If there are 200 free texts, then it cost 11p per text as a result, The charge is applied for text,
61x11=£6.71
The total charge for the text and call is,
£6.71+£3.60=£10.31
If the monthly charge is £20. The total charge for the month,
£20+£10.31=£31.31
Thus, for the given data the monthly charges for Jim’s mobile phone will be £31.31.
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Multiply 79 liters 42 millilitres by 4 =
Answer:
316.168
Step-by-step explanation:
you get 316.168 Liters or 316168 mL
please mark brainliest i need one more!
Answer:
316.168
Step-by-step explanation:
that is the answer when i tried this equation
Angles A and B are supplementary. Angle A measures (2x + 20).Angle B measures 130 degrees. Solve for X
Answer:
x = 15
Step-by-step explanation:
Supplementary = 180 °
Add the numbers
[tex](2x + 20) + 130 = 180[/tex]
[tex]2x + 150 = 180[/tex]
Subtract 150 from both sides of the equation
[tex]2x+150- 150 =180 - 150[/tex]
Simplify
[tex]2x = 30[/tex]
Divide both sides of the equation by the same term
[tex]\frac{2x}{2} =\frac{30}{2}[/tex]
Simplify/Solution =
[tex]x=15[/tex]
Hence, x = 15.
[RevyBreeze]
A radio tower is located on a coordinate system measured in miles. The range of a signal in a particular direction is modeled by a quadratic function where the boundary of the signal starts at the vertex at (4, 2). It passes through the point (5, 4). A linear road connects points (–3, 7) and (8, 2). Which system of equations can be used to determine whether the road intersects the boundary of the tower’s signal? StartLayout Enlarged Left-Brace 1st Row y minus 2 (x minus 4) squared = 2 2nd Row 5 x 11 y = 62 EndLayout StartLayout Enlarged Left-Brace 1st Row y minus (x minus 4) squared = 2 2nd Row 5 x 11 y = 62 EndLayout StartLayout Enlarged Left-Brace 1st Row y minus (x minus 4) squared = 2 2nd Row 11 x 5 y = 2 EndLayout StartLayout Enlarged Left-Brace 1st Row y minus 2 (x minus 4) squared = 2 2nd Row 11 x 5 y = 2 EndLayout.
The system of equations that can be used to determine whether the road intersects the boundary of the tower’s signal is
[tex]y = 2x^2 - 16x + 34\\11y = -5x + 62[/tex]
What is vertex form of a quadratic equation?If a quadratic equation is written in the form
[tex]y=a(x-h)^2 + k[/tex]
then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)
For the given situation, the quadratic equation has vertex (h,k) = (4,2) and it passes through (5,4).
If we consider the equation to be of the form [tex]y=a(x-h)^2 + k[/tex],
then, as h = 4, k = 2, it becomes [tex]y = a(x-4)^2 + 2[/tex]
Now since it passes through (5,4), thus at x = 5, and y = 4, the equation must be true, or:
[tex]y = a(x-4)^2 + 2|_{(x,y) = (5,4)}\\\\4 = a(5-4)^2 + 2\\4 = a + 2\\a = 2[/tex]
Thus, the quadratic equation in consideration is: [tex]y = 2(x-4)^2 + 2 = 2x^2 + 32 -16x + 2\\y = 2x^2 - 16x + 34[/tex]
The straight line in consideration connects points (–3, 7) and (8, 2).
Equation of a line passing through two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is
[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]
Since we've got [tex](x_1, y_1) = (-3,7) \: \rm and \: \: (x_2, y_2) = (8,2)[/tex]
We get the equation of the straight line in consideration as:
[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)\\\\(y-7) = \dfrac{2-7}{8 - (-3) } (x-(-3))\\\\y - 7 = -\dfrac{5}{11}(x+3)\\\\11y = -5x + 62[/tex]
Therefore, the system of equations that can be used to determine whether the road intersects the boundary of the tower’s signal is
[tex]y = 2x^2 - 16x + 34\\11y = -5x + 62[/tex]
These equations' graphs' intersection is the solution to this system
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Answer:
y-2(x-4)^2=2
5x+11y=62
Step-by-step explanation:
a on edge 22
vector a= 2i+ 3j - 5k.what is the value of 3a?
Answer:
The answer is 6î + 9j – 15k
Step-by-step explanation:
Given;A = 2î + 3j – 5kTo Find;Value of 3ASo,
A = 2î + 3j – 5k
Multiply The value of A with 3 we get,
3A = 3(2î + 3j – 5k)
3A = 6î + 9j – 15k
Thus, The value of 3A is 6î + 9j – 15k
-TheUnknownScientist 72
A rectangle has an area of 63 square yards and a width of 3. 5 yards. What is the length, l, of this rectangle? l = 9 yd l = 18 yd l = 28 yd l = 45 yd.
Answer:
18 yards
Step-by-step explanation:
Rectangle area = Length (L) x Width (W)
63 yd^2 = L*W
63 yd^2 = L*(3.5 yd)
L = 18 yards
Answer:
/ = 18 yd
Step-by-step explanation:
I took the quiz and this was the correct answer.
Which amount has the greatest value in Canadian dollars?
US$15
€11
£10
Answer:
US$15
Step-by-step explanation:
US$15 = 19.15 (Canadian)
€11 = 15.91 (Canadian)
£10 = 17.35 (Canadian)
______________________
$1 in the US (US) is $1.28 in Canada
$1 in Euros (€) is $1.45 in Canada
$1 in the UK (£) is $1.73 in Canada
HURRYY!!!!
An oil company fills 1 over 10 of a tank in 1 over 5 hour. At this rate, which expression can be used to determine how long will it take for the tank to fill completely?
1 over 5 ⋅ 10 hours
1 over 10 ⋅ 5 hours
1 over 5 ⋅ 1 over 10 hours
5 ⋅ 10 hours
Answer:
I believe the answer is the 3rd one
Step-by-step explanation:
Jemma surveyed the students at her school to find out if they like the beach and/or the mountains for vacation. The table below shows the results of the survey: Like Beach Do Not Like Beach Total Like Mountains 36 28 64 Do Not Like Mountains 56 38 94 Total 92 66 158 If a student does not like the mountains, what is the probability that student also does not like the beach? 39. 1% 40. 4% 59. 5% 60. 8%.
Probability of an event is its chance of . The probability that a student not liking mountains doesn't like beach is: Option b: 40.4%
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}}[/tex]
Where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
For the given case, from the table (image attached below), we can see that, there are total 94 students who do not like mountains. Now, out of those 94, there are 38 students not liking beach.
Thus, if A = a student not liking beach
B = not liking mountains,
Then ,
P(A|B) = P(A ∩ B)/P(B) = [tex]\dfrac{38/158}{94/158} = \dfrac{38}{94} \approx 0.404 = 40.4\%[/tex]
Thus, probability of a student not liking beach given that that student doesn't like mountains is 40.4% approx.
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Answer:
40.4%
Step-by-step explanation:
Which statement shows how the product of (x 5)2 demonstrates the closure property of multiplication? x2 25 is a polynomial x2 25 may or may not be a polynomial x2 10x 25 is a polynomial x2 10x 25 may or may not be a polynomial.
Product of two polynomials can be done by distribution of multiplication over addition. The product of [tex](x+5)^2[/tex] is [tex]x^2 + 10x + 25[/tex]
What is distributive property of multiplication over addition?Suppose a, b and c are three numbers. Then we have:
[tex]a(b + c) = a\times b + a\times c[/tex]
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
What is a polynomial?They are mathematical expressions involving variables raised with non negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.
Example:
[tex]x^3 + 4x + 3[/tex]
is a polynomial.
Using both above facts, as the given expression is [tex](x+5)^2[/tex]
Its product result is obtained as
[tex](x+5)^2 = (x+5)(x+5) = x(x+5) + 5(x+5) = x^{1+1} + 5x + 5x + 25\\\\(x+5)^2 = x^2 + (5+5)x + 25 \text{\:(Addition of coefficients of like terms)}\\\\(x+5)^2 = x^2 + 10x + 25[/tex]
It is a fact that result of a polynomial product is polynomial. Thus, the obtained product is a polynomial since x + 5 was a polynomial.
Thus,
The product of [tex](x+5)^2[/tex] is [tex]x^2 + 10x + 25[/tex]
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Find the x-intercept of h(x)= |x| + 4
Answer:
(-4,0)
Step-by-step explanation:
if you substitute the number 0 then it is (-4,0). and there is your answer!
explain how to get the variable alone in the equation. 4x = 32
Step-by-step explanation:
since 4 is being multiplied with x we can take 4 to left hand side where it will be divided
4x = 32
x = 32/4
x = 8
You start driving west for 3 miles, turn right, and drive north fer another 13 miles. At
the end of driving, what is your straight line distance from your starting point?
Round to the nearest tenth of a mile.
Answer:
13.3 miles
Step-by-step explanation:
So you're driving <----- for 3 miles
Then you start driving up for 13 miles
This makes a right triangle with sides of 3 and 13
using pathagoreas, a^2+b^2=c^2
3^2+13^2=c^2
9+169=c^2
178=c^2
Square root both sides
c= 13.3416640641
Rounding, it's 13.3 miles
after spending $5 on ice cream, payton had $20 left. how much money did payton have to begin with
Answer: The answer is 25
Step-by-step explanation: because it said he spend $5 on ice cream then he had $20 left so that mean he had 25 - 5 = 20
can u help me solve c=q v+q for v
Answer:
V = c/q - 1
Step-by-step explanation:
hope this helps if u need anymore help let me know
Marvin wrote a decimal on the whiteboard. The value of the 6 in Marvin’s decimal is equal to 1/10 of 0.06. Which of the following numbers could be Marvin’s decimal?
A) 63.576
B) 63.657
C) 63.679
D) 63.960
READ: Please leave a reasoning/explanation. You don't need to give a full paragraph of your explanation
Answer:
A) 63.576
Step-by-step explanation:
1/10 can also be 10/100 which is 10%
10% of 0.06 = 0.006
Please help!! With solution needed!!
Answer:
There are [tex]3p^2[/tex] animals on the farm
Step-by-step explanation:
2p^2-p+4 . p^2+p+1
[tex](2p^2-p+4)+(p^2+p+1)\\2p^2+p^2+p-p+4+1\\3p^2+5[/tex]
Answer:
3p² + 5
Step-by-step explanation:
since no equations are given I will simply add on the number of cows and buffaloes.
total number of animal= number of cows + number of buffaloes
= 2p²- p + 4 + p² + p + 1
= 3p² +5
which of the following points would fall on the line produced by the point-slope form equation y-6=7(x+4)
A (-1,28)
B (0,-34)
C (-3,13)
D (2,20)
Answer:
[tex]a.( - 128)[/tex]
Step-by-step explanation:
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Tablets are on sale for 15% off the original price (t), which can be expressed with the function p(t) = 0. 85t. Local taxes are an additional 8% of the discounted price (p), which can be expressed with the function c(p) = 1. 08p. Using this information, which of the following represents the final price of a tablet, with the discount and taxes applied, based on its original price? c[p(t)] = 0. 918t t[c(p)] = 0. 918t c[p(t)] = 1. 93p t[c(p)] = 1. 93p.
Taxation is done on the discounted price. The equation representing the final price of a tablet for this condition is : Option A: c[p(t)] = 0. 918t
What are composite functions?Functions which are formed by composing two or more functions in a way that one's input is another's output unless its the last and first function is called composite functions.
For given case, it is given that
Discounted price for original 't' price of a tablet is
[tex]p(t) = 0.85t[/tex]
This discounted price is then passed as input to the tax calculating function as taxation is specified to be done on the discounted price and not on the original price.
The total cost calculating function is [tex]c(p) = 1. 08p[/tex]
Thus, for original price t, the total cost is given as:
[tex]c(p(t)) = 1.08(p(t)) = 1.08 \times 0.85t = 0.918t[/tex]
We composed the two available function to get the direct final cost from value of t.
Thus,
The equation representing the final price of a tablet for this condition is Option A: c[p(t)] = 0. 918t
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What are the solutions of the quadratic equation?
x² – 2x = 8
O x = 1
a) x = 1 or x = -8
b) x = 8 or x = -1
c) x = 2 or x = -4
Od) x = 4 or x = -2
Answer:
d)X=4 or x=-2
Step-by-step explanation:
X²-2x=8
X²-2x-8=0
(x-4)(x+2)=0
X-4=0 or x+2=0
X=4 or x=-2
Answer: D. x = 4 or x = -2
The correct answer is x = 4 or x = -2
Step-by-step explanation:
Hope this helps =)
Classify the equation 6x + 4x - 1 = 2(5x + 4) as having one solution, infinitely many solutions, or no solutions
Answer: no solutions
Step-by-step explanation:
6x+4x-1=2(5x+4)
10x-1=10x+8
+1 +1
10x=10x+9
The equation is not true. It has no solutions.
can you answer this?
Find the inverse of f(x)=2x+7
What is 5 1/2 as a fraction
Answer:
11/2
Step-by-step explanation:
Given Mixed fraction is 51/2
Step 1: Multiply 5 by 2: 5 × 2 = 10
Step 2: Add 10 with 1: 10+1 = 11 (New numerator value).
Hence, the improper fraction is 11/2.
11/2 is 5 1/2 as a fraction.
What is mixed fractions?Mixed fraction is a number contain whole number and a proper fraction.
Given:
Mixed fraction is 5 1/2
To convert mixed fraction into proper fraction:
To get the fraction from mixed number you just need to take the number standing alone, multiply with the denominator and add with the numerator and keep it on top with the denominator in place to turn it into a fraction.
Step 1: Multiply 5 by 2: 5 × 2 = 10
Step 2: Add 10 with 1: 10+1 = 11 (New numerator value).
Proper fraction is 11/2.
Therefore, 11/2 is 5 1/2 as a fractions.
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Given cos 0 = 11/6 and angle 0 is in Quadrant I, what is the exact value of sin 0 in
simplest form? Simplify all radicals if needed.
1 = sin²0 + cos²0
sin²0 = 1 - cos²0
sin²0 = 1 - 11/36
sin²0 = 25/36
sin 0 = 5/6 or -5/6
In the first quadrant, the values for sin, cos and tan are positive.
sin0 = 5/6
Please help with solution needed!!
Answer:
42,640
Step-by-step explanation:
[tex]205 \times 208 = (200 + 5)(200 + 8) \\ formula \: to \: be \: used \: \\ \red{ \boxed{ \bold{(x + a)(x + b) = {x}^{2} + (a + b)x + ab}}} \\ \\ \implies \: 205 \times 208 \\ \\ = (200 + 5)(200 + 8) \\ \\ = {(200)}^{2} + (5 + 8)(200) + (5)(8) \\ \\ = 40000 + (13)(200) + 40 \\ \\ = 40000 + 2600 + 40 \\ \\ = 42,640[/tex]
Please help! There are only 3 choices.
Find the height of the tree in feet if the angle of depression is 31 degrees.
A) 7.2 feet
B) 10.3 feet
C) 6.2 feet
The value is approximate.
========================================================
Explanation:
Check out the diagram below.
The angle of depression being 31 degrees refers to the idea of looking straight horizontal, then looking down 31 degrees. I recommend adding a dashed horizontal line.
That horizontal line is parallel to the ground. This forms a pair of congruent alternate interior angles. Therefore, we have two angles that are 31 degrees as the diagram shows.
The 31 degrees at the bottom is the angle of elevation.
Use this angle of elevation to say...
tan(angle) = opposite/adjacent
tan(31) = x/12
x = 12*tan(31)
x = 7.210327 approximately
This rounds to 7.2 feet
Aforest that is populated by crows and doves currently contains a total of 1,500 crow and dove
nests. Crows use approximately 8 grams of twigs when building a nest, and doves use
approximately 6 grams of twigs when building a nest. Which of the following equations best
approximates the relationship between C, the total amount, in grams, of twigs used for crow
nests and D, the total amount, in grams, of twigs used for dove nests?
The equation that show the relationship is given by 8x + 6y = C + D
Equation
An equation is an expression used to show the relationship between two or more numbers and variables.
Let x represent the number of Crows and y represent the number of doves, Let C represent the number of trigs needed for Crow and D the amount of twigs needed for dove, hence:
x + y = 1500 (1)
also:
8x + 6y = C + D (2)
The equation that show the relationship is given by 8x + 6y = C + D
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HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: Cos(33/65) or 0.99996
Step-by-step explanation:
Cos of an angle is described as
Cosine = adjacent / hypotenuse
where adjacent is the closest side to the angle so in this case adjacent is IH
Hypotenuse is the longest side of a right triangle ALWAYS
sooooo Cosine of angle h is cos(33/65) or decimal form 0.99996
The cost of car repair includes labor and parts. Labor is 70% of the total cost. The cost of labor for a certain repair is $406. What is the total cost of the car repair?
Answer:
Your answer is 580
Step-by-step explanation:
Identify the equation that describes the line in slope-intercept form. slope = 3/4 , point (2, 2) is on the line
Answer:
Step-by-step explanation:
You have more than 1/2 the solution just by knowing the slope.
General equation
y = mx + b where m is the slope and b is the y intercept.
m = 3/4
Solution
y = 3/4 x + b Now you need the point to solve for b
x = 2
y = 2 Substitute these values into the line
2 = 3/4 * 2 + b Simplify the right
2 = 1 1/2 + b
2 = 3/2 + b Subtract 3/2 from both sides
2 - 3/2 = b Combine
1/2 = b
So the y intercept is 1/2
Answer
y = 3/4 x + 1/2
or
y = 0.75 x + 0.5