Answer:
£13.75
Step-by-step explanation:
→ Call the charge x
x
→ Multiply by 16
16x
→ Equate to total
16x = 220
→ Divide both sides by 16
x = £13.75
My family was so excited to see the new movie, Thor: Love and Thunder. I decided to go and take my
two boys and four of their friends. The adult ticket price was $11.00 and only 3 of the kids were able to
get the children's ticket price. If the total bill was $62.00, how much was each children's ticket?
Answer:$6
Step-by-step explanation:
If only 3 got the children's price, that means there were 4 adult tickets.
4*11=44
62-44=18
18/3=6
$6 per child ticket
HELPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
The answer is 314
Step-by-step explanation:
You need to do
3.14(pie) times the radius times the height divided by 3
Answer:
C. 314 [tex]in^{3}[/tex]
Step-by-step explanation:
The volume of a cone is: 1/3[tex]\pi[/tex][tex]r^{2}[/tex]h'
1/3 x 3.14 x [tex]5^{2}[/tex] x 12
1/3 x 3.14 x 25 x 12
1/3 x 3.14 x 300
100 x 3.14
V = 314
Find the values of the unknown angles marked with letters.
a=
b=
c=
Answer:
a = 97° , b = c = 146°
Step-by-step explanation:
a and 83° are same- side interior angles and sum to 180°
a + 83° = 180° ( subtract 83° from both sides )
a = 97°
34° and b are same- side interior angles and sum to 180°
b + 34° = 180° ( subtract 34° from both sides )
b = 146°
b and c are corresponding angles and are congruent , so
c = b = 146°
Answer:
< a = 97 degrees.
< b = 146 degrees.
< c = 146 degrees.
Step-by-step explanation:
We have 2 lines crossing 2 parallel lines.
Internal angles between the 2 parallel lines add up to 180 degrees, so
34 + <b = 180
<b = 180 - 34 = 146 degrees
Also
<a + 83 = 180 degrees (also internal angles)
---> <a = 97 degrees
< c and < b are corresponding angles so are congruent, therefore
<c = < b = 146 degrees.
Amanda increased the amount of protein she eats every day from 48 g to 54 g. what percentage did Amanda increase the amount of protein she eats
Step-by-step explanation:
I just answered this. how often did you post that question ?
she added 54-48 = 6g.
how many % of 48g are these 6g ?
100% = 48
1% = 100%/100 = 48/100 = 0.48g
how many % are 6g ?
as many as how often 1% (0.48g) fits into 6g :
6 / 0.48 = 12.5%
mr thapa travelled 5km by a taxi the minimum fare of rs 14 apperared immediately after the meter was flagged down, then the fare went on rs 7.20 per 200m. calculate the total fair paid by her
The total price paid by Mr. Thapa as per the new rating will be equal to Rs 180.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the given information in the question,
Total distance traveled by Mr. Thapa = 5 km = 5000 meters.
The initial price paid for the taxi = Rs 14
Then, the meter was flagged down, then the fare went to rs 7.20 per 200 m.
Let the price paid after 5 km is x.
So, the ratio will be,
200 m = Rs 7.20
5000 m = x
Perform cross-multiplication,
200x = 5000 × 7.20
200x = 36000
x = 36000/200
x = Rs 180
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What is the value of x that makes l1||l2?
A. 14
B. 11.6
C. 10
D. 26.7
Answer:
10
Step-by-step explanation:
By the alternate interior angles theorem,
[tex]4x=2x+20 \\ \\ 2x=20 \\ \\ x=10[/tex]
My street hockey team plays three games each week. My team lost all 12 games in the first four weeks. Then, my team won two games and lost one game in the fifth week, bringing our record to 2 wins and 13 losses. Each week after that, my team won two games and lost one game. My team first wins at least 50% of all its games by the end of the first n weeks. What is n?
Using proportions, it is found that the value of n is of [tex]n \geq 11[/tex].
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
On the first 15 games, the team wins 2 games and losses 13. Then, in each week, the team plays 3 games, winning 2. Then:
After n weeks, the team will have won 2 + 2n games.After n weeks, the team will have played 15 + 3n games.The proportion of wins is given as follows:
[tex]\frac{2 + 2n}{15 + 3n}[/tex]
The proportion is of at least 50%, hence:
[tex]\frac{2 + 2n}{15 + 3n} \geq 0.5[/tex]
We solve the inequality for n, similarly to how we would solve an equality, applying cross multiplication. Then:
[tex]2 + 2n \geq 7.5 + 1.5n[/tex]
[tex]0.5n \geq 5.5[/tex]
[tex]n \geq \frac{5.5}{0.5}[/tex]
[tex]n \geq 11[/tex]
The value of n is of [tex]n \geq 11[/tex].
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Area=
Help me please thanks :)
Answer:
16 square units
Step-by-step explanation:
You find the area by multiplying the base times the height. The base or horizonal length is 4. You get this from the ordered point x (4,0). The x coordinate 4, tells us that the point x is 4 spaces to the right of zero, so the length or base is 4.
The height is also 4. You get this from the point S (2,4) The y coordinate of 4 tells you how high up the point is.
4 x 4 = 16
A parabola can be represented by the equation y2 = 12x. which equation represents the directrix?
The equation of the directrix is x = -3
What is Parabola?A mirror-symmetrical, roughly U-shaped plane curve known as a parabola. It corresponds to a number of mathematical models that appear to be superficially dissimilar but yet all define the exact same curves. A point and a line are one way to describe a parabola.
According to the given information:Given the general equation of a parabola expressed as
(y-y0)² = 4a(x-x0) ... 1
Equation of the directrix will be expressed as x = x0 - a
From the equation given;
y² = 12x ... 2
Comparing 1 and 2;
x - x0 = x
-x0 = x - x
-x0 = 0
x0 = 0
Similarly;
y-y0 = y
-y0 = y - y
-y0 = 0
y0 = 0
Also;
4a = 12
a = 12/4
a = 3
Substituting x0 =0, y0 = 0 and a = 3 into the equation of the directrix above, we will have;
x = x0 - a
x = 0 - 3
x = -3
Hence,
the equation of the directrix is x = -3
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Pls answer both the question its urgent
Answer:
not sure but I think it is this
NEED HELP ASAP
Which statement is correct?
OA) 7<√72<8
OB) 8<√72 <9
OC) 9<√72 <10
OD) 10<√72 < 11
Answer:
ur answer is B
Step-by-step explanation:
Answer:
B
As root over 72 is 8.48 and after we round off we get 8.5 so no B is correct
Hich number is not in scientific notation? (5 points) group of answer choices 9 ⋅ 1019 7.8 ⋅ 106 1.45 ⋅ 10−7 0.33 ⋅ 10−15
Answer:
0.33 ⋅ 10^−15
Step-by-step explanation:
Scientific notation requires exactly one non-zero digit to the left of the decimal point.
The number ...
0.33 ⋅ 10^−15
has no non-zero digits to the left of the decimal point. It is not in "scientific notation."
__
Additional comment
Expressed in scientific notation, it would be ...
3.3 ⋅ 10^−16
Sami cuts out a rectangle that has a perimeter of 48 inches and a length of 13 inches.
Answer:
Width is 11 inches
Step-by-step explanation:
I am not sure what the question is. I think you might be looking for the width length. The perimeter is the distance around a rectangle. If the whole distance around is 48. We have 2 lengths and 2 widths. They tell us that the length is 13. We have two lengths so the lengths add up to 26. We can subtract that from 48 and that leaves us with 22 (48-26) This is the total for the 2 widths. Since the 2 widths are the same length we divide that number by 2 to get 11.
11 + 11+ 13 + 13 = 48
PLEASE HELP QUICK, I need to know the answer.
Answer:
Your answer is 7^2.
Step-by-step explanation:
-------------------------
Have a great day,
Nish
The equivalent expression is [tex]7^{2}[/tex].
We have the following expression -
[tex]\frac{7^{-3} }{7^{-5} }[/tex]
We have to find its equivalent value.
What is the equivalent expression of the following expression-[tex]f(x, y) =\frac{A^{x} }{A^{y} }[/tex]
In order to divide two exponents with same base, we use the 'Quotient property of exponents.
The equivalent expression can be written as -
f(x, y) = [tex]A^{x} A^{-y} = A^{x-y}[/tex]
In the question given we have -
[tex]\frac{7^{-3} }{7^{-5} }[/tex]
Using the property discussed above -
[tex]7^{-3}\;7^{5}[/tex] = [tex]7^{-3+5}[/tex] = [tex]7^{2}[/tex]
Hence, the equivalent expression is [tex]7^{2}[/tex].
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An airplane travels 1350 miles in 5 hours, going against the wind. The return trip is with the wind, and takes only 3.75 hours. Find the rate of the airplane with no wind. Find the rate of the wind.
Solving a system of equations we can see that:
The airplane rate is 315 mi/hThe wind rate is 45 mi/h.How to find the rate of the airplane?Let's define:
A = rate of the airplane.W = rate of the wind.When the airplane travels against the wind, the total speed is:
(A - W)
In this way, we know that the airplane travels 1350 miles in 5 hours, then:
(A - W) = 1350mi/5h
When the airplane travels with the wind, it takes 3.75 hours to travel the same distance, then:
(A + W) = 1350mi/3.75h
We have now a system of equations:
(A - W) = 1350mi/5h
(A + W) = 1350mi/3.75h
If we isolate A on the first equation, we get:
A = 270mi/h + W
Replacing that in the other equation we get:
270mi/h + W + W = 360 mi/h
Solving for W we get:
2*W = 360mi/h - 270mi/h = 90mi/h
W = 90mi/h = 45mi/h
And the airplane rate is:
A = 270mi/h + W = 270mi/h + 45mi/h = 315 mi/h
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A motorcycle is traveling at a constant speed of 45 miles per hour. how many feet does it travel in 6 seconds? remember that 1 mile is 5280 feet.
Answer:
The total number of feet travelled by the motorcycle is 396 feet
Step-by-step explanation:
Using the constant speed relationship with the distance:
v = s/t
From the above equation the distance travelled will be:
s = v * t (i)
We are given with the v, that is:
v = 45 miles per hour
Converting in to feet per second.
v = (45 * 5280)/3600 feet / s
v = 66 feet per second
Now, put that v and t in equation (i)
s = 66 * 6
s = 396 feet
on a unit circle, the terminal point of theta is (0, - 1) what is tan theta?
A. 1
B. Undefined
C. -1
D. 0
The answer is B.
If the terminal point of θ is at (0, -1), then tanθ is equal to :
Δy/Δx-1/0UndefinedThe tangent of the given angle is undefined, so the correct option is B.
What is a tangent function?The tangent function is one of the main six trigonometric functions and is generally written as tan x. It is the ratio of the opposite side and the adjacent side of the angle in consideration in a right-angled triangle.
Given that on a unit circle, the terminal point of θ is (0, - 1) we need to determine tan θ,
We know that the terminal point of θ is (0, -1).
Now, the tangent of an angle is equal to the quotient between the y-component and the x-component of the terminal point, then we have:
tan(θ) = =1/0
And we can't divide by zero, so it is undefined, then the correct option is B.
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Determine the period.
Omar recorded the number of hours he worked each week for a year. below is a random sample that he took from his data. 13, 17, 9, 21 what is the standard deviation for the data? standard deviation: s = startroot startfraction (x 1 minus x overbar) squared (x 2 minus x overbar) squared ellipsis (x n minus x overbar) squared over n minus 1 endfraction endroot.
The standard deviation exists as the positive square root of the variance.
So, the standard deviation = 4.47.
How to estimate the standard deviation?Given data set: 13 17 9 21
To calculate the mean of the data.
We know that mean exists as the average of the data values and exists estimated as:
Mean [tex]$=\frac{13+17+9+21}{4} \\[/tex]
Mean [tex]$=\frac{60}{4} \\[/tex]
Mean = 15
To find the difference of each data point from the mean as:
Deviation:
13 - 15 = -2
17 - 15 = 2
9 - 15 = -6
21 - 15 = 6
Now we have to square the above deviations we obtain:
4, 4, 36, 36
To estimate the variance of the above sets:
variance [tex]$=\frac{4+4+36+36}{4}$[/tex]
Variance [tex]$=\frac{80}{4}$[/tex]
Variance = 20
The standard deviation exists as the positive square root of the variance. so, the standard deviation [tex]$=\sqrt{20 }=4.47$[/tex].
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Answer:
4.4
Step-by-step explanation:
The answer above is correct.
Find the sum. Long gone out of my mind
[tex]4r {}^{3} s - rs + 7r {}^{3} s + 8rs - 3 + 8rs + 6 \\ add \: \: terms \: \: of \: \: same \: \: variables \\ 11r {}^{3} s + 15rs + 3[/tex]
Answer: dA convenience store sells two brands of orange juice Brand A contains 11 fluid once and costs
$2.31. Brand B contains 15 fluid ounces and costs $2.70.
What is the difference in cost, in dollars, per fluid ounce between the two brands of juice
Answer:
$0.03
Step-by-step explanation:
2.31/11 =.21
2.70/15 =.18
.21-.18 = .03
What is the equation of the vertical asymptote of g(x)=4log2(x−2) 5 ? enter your answer in the box.
The equation of the vertical asymptote of the function [tex]g(x)=4log_{2} (x-2)+5[/tex] is x=2.
What is vertical asymptote of a function?Vertical asymptotes are vertical lines that represent the zeros of a rational function's denominator. Asymptotes can also occur in other situations, such as logarithms. It occurs at the x-value that is outside the domain of the function, therefore the graph can never cross it.
How to find vertical asymptotes from graph?There may be a vertical asymptote along the vertical line if a portion of the graph is about to turn vertical. At the point of x along which you discovered the vertical asymptote, the function's value changes to either ∞ or -∞. A vertical asymptote, however, must never touch the graph.
Graph the function [tex]g(x)=4log_{2} (x-2)+5[/tex]
(x,y)= (3,5), (4,9), (6,13)
From graph we can see that the graph is turning to be vertical from x=2. So, the equation of vertical asymptote of the function is x=2.
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The complete question is:
“What is the equation of the vertical asymptote of [tex]g(x)=4log_{2} (x-2)+5[/tex]? enter your answer in the box.”
Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
Answer:
Situation 2 (B)
Step-by-step explanation:
I think it would be B since the power of the gear increases proportionally with the radius.
Identify the side lengths of the triangle.
The figure shows an isosceles triangle. One of the congruent sides has a length of 3 x plus 4 units. The other congruent side has a length of x plus 12 units. The third side has a length of 4 x minus 10 units.
The side lengths of the isosceles triangle are:
AO = 16 units
AB = 16 units
OB = 6 units.
What is an Isosceles Triangle?An isosceles triangle is a type of triangles that has two sides that are congruent to each other, and two base angles that are opposite these two sides that are also congruent to each other.
How to Identify the Side lengths of the Triangle?Referring to the isosceles triangle in the image attached below, we have the following:
One of the congruent sides = AO = 3x + 4 units
The other congruent side = AB = x + 12 units
The third side = OB = 4x - 10 units
Applying the definition of an isosceles triangle, we can create an equation as shown below to find x:
AO = AB [congruent sides]
Substitute
3x + 4 = x + 12
3x - x = - 4 + 12
2x = 8
2x/2 = 8/2
x = 4
Find the side lengths of the isosceles triangle by plugging in the value of x:
One of the congruent sides = AO = 3x + 4 = 3(4) + 4 = 16 units
The other congruent side = AB = x + 12 = 4 + 12 = 16 units
The third side = OB = 4x - 10 = 4(4) - 10 = 6 units.
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Seema had 150 marbles.rani had 20 marbles more than seema.alokhad 50 marbles lass than rani how many marbles did rani have
Answer: 170 marbles
Step-by-step explanation: Rani had 20 more marbles than Seema and Seema had 150. 150+20 is 170.
Three friends decide to go out to eat, and then go shopping. if there are 5 local restaurants and 4 good stores for shopping, how many possibilities are there for their big night out
Using the Fundamental Counting Theorem, there are 20 possibilities for their big night out.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
For this problem, we have that:
There are 5 restaurants, hence [tex]n_1 = 5[/tex].There are 4 stores, hence [tex]n_2 = 4[/tex].The number of possibilities is given by:
N = 5 x 4 = 20.
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Sloane kicked a soccer ball off the ground at a speed of 48 feet per second. The height of the ball can be represented by the function H(t) = −16t2 + 48t, where t is the time in seconds. How many seconds did the ball travel before returning the ground?
If the speed of the ball after kicking is 48 feet per second then the ball will return on the ground after 3 seconds.
Given that the speed of the ball after kicking is 48 feet per second and the function that represents the height of the ball is [tex]-16t^{2} +48t[/tex].
We are required to find the time that the ball took to travel before returning the ground.
We know that speed is the distance a thing covers in a particular time period.
The height of the ball after t seconds is as follows:
h(t)=[tex]-16t^{2} +48t[/tex]
It is at ground at the instants of t.
Hence,
[tex]-16t^{2} +48t[/tex]=0
-16t(t-3)=0
We want value of t different of 0, hence :
t-3=0
t=3.
Hence if the speed of the ball after kicking is 48 feet per second then the ball will return on the ground after 3 seconds.
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Answer:
B. t=3
Step-by-step explanation:
i took the test and got it right
help pleaseee and explain how , I’m confused thanks
Answer:
The rope is worth 13.
The shoe is worth 5.
The clock is worth 3.
Step-by-step explanation:
We know that the weights are 8 so we will use 8 for the weights.
Let s = show
Let r = rope
Let c = clock
We have three unknowns so we need three equations.
8 + s = r c + s = 8 s= c +2
There are a number of ways that we can approach this. Let's substitute
c + 2 for s in the first 2 equations.
8 + s = r
8 + c + 2 = r
10 + c = r
c + s = 8
c + c + 2 = 8
2c + 2 = 8
2c = 6
c = 3 we found the value of the clock.
Now, let's substitute 3 in for 3 in the bold equation above.
10 + c = r
10 + 3 = r
13 = r we found the value of the rope.
We can use any of the equations to find the shoe.
s= c + 2
s = 3 + 2
s = 5
This is tricky. It takes a lot of practice. Don't give up!
Shoe= 5
Rope= 13
Clock= 3
We can start by giving each item a variable. Shoe= s, rope= r, clock= c. The weight is 8, so we don't need to give it a variable. Our equations are now:
8+s= r
c+s= 8
s= c+2
Now, we can isolate a variable to solve for it using the substitution method. Let's start with s.
c+s=8
-c -c
s= 8-c
Now, we'll take another equation and plug s in.
8-c=c+2
+c +c
8= 2c+2
-2 -2
6=2c
c=3
Now we know that the clock is 3. Put 3 into the last equation, and add 3+2 to get 5 for the shoe. 5 in the first equation for the shoe plus 8 as the weight means the rope is 13.
hope this helped!
g(x)=2x-8, f(x)=5-g(x) what is the value of f(10)
By evaluating the function, we conclude that f(10) = -7
How to evaluate the function f(x)?
Here we know that:
g(x) = 2x - 8
And f(x) = 5 - g(x).
Then we can write:
f(x) = 5 - (2x - 8) = 5 - 2x + 8 = -2x + 13
Now we want ot evaluate it in x = 10, this means replace the variable by the number 10.
f(10) = -2*10 + 13 = -20 + 13 = -7
Then, we conclude that f(10) = 7
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Which statement is most likely to be true for this distribution?
Answer:
A
Step-by-step explanation:
the means is less than the median