Answer:
2.5%
Step-by-step explanation:
656 / 640 = 1.025
1.025 into percent is 102.5%
102.5% - 100% = 2.5
640 + 2.5% of 640 = 656
BOOM
The required value of increase in price is 2.5%.
What is percentage?A percentage is a value that indicates 100th part of any quantity.
A percentage can be converted into a fraction or a decimal by dividing it by 100.
Given that,
The cost of ticket at present is £656.
Its cost last year was £640.
Then, the difference between the costs is given as,
656 - 640 = £16
Now, the increase in percentage can be found by taking the ratio of the difference to the last year price and multiplying it by 100 as below,
Percentage increase = 16/640 × 100%
= 2.5%
Hence, the percentage increase in price is 2.5%.
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help meeeeeeeeeeeeeeeeee
Let x = number of hours washing cars
Let y = number of hours landscaping
System of equations:
[tex]10x+8y=84\\\\x=2y[/tex]
Jake packed 12 jars of paint in a wooden tool box. Each jar and its contents weigh 10 ounces. The empty box weighs 1 pound 14 ounces. What is the total weight of the packed box
The total weight of the packed box is 9 lb 6 oz
According to question:
The weight of 12 jars is 12 times the weight of one jar
The weight of jars and box together is the sum of those weights.
... 12 × (10 oz) + 1 lb + 14 oz = 1 lb + 134 oz
... = 1 lb + 8 × (16 oz) + 6 oz . . . . . . 1 lb = 16 oz
... = 9 lb 6 oz
How to convert Ounces to Pounds?1 ounce (oz) is equal to 0.0625 pounds (lb).
1 oz = (1/16) lb = 0.0625 lb
The mass m in pounds (lb) is equal to the mass m in ounces (oz) divided by 16:
m(lb) = m(oz) / 16
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Write the equation for a parabola with a focus at (9,0) and a directrix at y=-4y
The required equation of parabola is y = (-1/4)(x-9)² +4
What is a Parabola ?
A parabola is a U shaped Curve , whose all point are at same distance from a point called as Focus and a line called as Directrix.
Let (x,y) be any point on the parabola.
the distance between (x,y) and the focus and the distance between (x,y) and directrix is equal.
The focus is at (9,0) and a directrix at y= - 4
[tex]\rm \sqrt {(x-9)^2 + (y -0)^2[/tex] = | y +4|
[tex]\rm {(x-9)^2 + (y -0)^2 = (y-4)^2[/tex]
(x-9)² + y² = y² +16 -4y
On solving this
4y = - (x-9)² +16
y = (-1/4)(x-9)² +4
Therefore this is the required equation of parabola .
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Find the volume of the prism.
Answer:
V = 343
Step-by-step explanation:
V = lwh
= 7(7)(7)
= 49(7)
= 343
help asap grade 5 math help fast help quick !!!
Answer:
B and D
Step-by-step explanation:
A
[tex]\frac{5}{6}[/tex] × 13 = [tex]\frac{5(13)}{6}[/tex] = [tex]\frac{65}{6}[/tex] = 10 [tex]\frac{5}{6}[/tex] < 13
B
4 × 13 = 52 > 13
C
[tex]\frac{3}{4}[/tex] × 13 = [tex]\frac{3(13)}{4}[/tex] = [tex]\frac{39}{4}[/tex] = 4 [tex]\frac{3}{4}[/tex] < 13
D
[tex]\frac{10}{10}[/tex] × 13 = 1 × 13 = 13
Band D are equal to or greater than 13
three pieces of piping are needed on construction site. The second piece needs to be 2m longer than the first, and the third piece needs to be 7m longer than the first, the combined length of the piping is 72m. Determine the lengths of the three pieces of pipe
Step-by-step explanation:
x + 2x + 7x
72 = 9x
72 - 9 = x
63 = x
63 ÷ 3 = 21
piece 1 = 21
piece 2 =21+2 = 23
piece 3 =21+7 = 28
21+23+28 = 72 This proves the above is correct.
A tape diagram. 0 dollars is 0 percent. Question mark dollars is 23 percent. 52 dollars is 100 percent.
Jared has earned 23% of the $52 he needs to buy a new jacket. Find 23% of $52.
Answer:Jared has earned 23% of the $52 he needs to buy a new jacket. Find 23% of $52.Which expression can you use to find 23% of 52? ✔ 0.23 × 5223% of $52 is $✔ 11.96.An easy way to check your answer is to use the friendly ✔ 25%and divide 52 by ✔ 4to get ✔ 13
Step-by-step explanation:
Use the law of sines to find the length of side c
Answer:
B. 44.93
Step-by-step explanation:
The law of sines states
[tex]\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}[/tex]
where a, b and c are the 3 sides of the triangle and A is the angle opposite side a, B the angle opposite side b and C the angle opposite side c
In this particular problem we have
side a = 44, angle A = 46.7
side c = ? , angle C = 48
So 44/sin(46.7) = c/sin(48) or by multiplying both sides by sin(48)
c = sin(48) * 44/sin(46.7) = 44.92937 which is 44.93 rounded to 2 decimal places
Can someone help me?
Alex and Bobby are in the woods and are standing 240
yards apart.. Both boys spot a plane with angles of
elevation of 40 degrees and 45 degrees respectively. How
far from the plane is Bobby? Round to the nearest tenth of
a yard. Enter a number answer only.
The distance from Bobby to the plane is 154.7 yards.
How to find the distance of the plane to Bobby using angle of elevation?Sine law can be used to find the distance of the plane to Bobby.
Therefore,
x / sin 40 = 240 / sin 95
cross multiply
Hence,
x sin 95 = 240 sin 40
divide both sides by sin 95
x = 240 sin 40 / sin 95
x = 240 × 0.64278760968 / 0.99619469809
x = 154.08 / 0.9961
x = 154.683264732
x = 154.7 yards
Therefore, the distance from Bobby to the plane is 154.7 yards.
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1. If f={(-1,6), (0,3), (2,9), (6,10)} and g={(0,2), (3,7), (12,3)}, what is (fog)(0)?
(a) 9
(b) 3
(c) 2
(d) 7
Answer: 9
Step-by-step explanation:
[tex](f \circ g)(0)=f(g(0))\\\\g(0)=2\\\\\implies f(g(0))=f(2)=\boxed{9}[/tex]
The length and width of a rectangle are consecutive integers. The perimeter of the rectangle is 30 meters. Find the length and width of the rectangle.
The length of the rectangle is 8m and width of the rectangle is 7m
The perimeter of a rectangle is the total length around the outside of rectangle. The total boundary of the rectangle is its perimeter If length of the rectangle is l and breadth of the rectangle is b, then perimeter ofvthe rectangle is given by P = 2 (l+b)Given that the length and width of a rectangle are consecutive integers
Let the length of the rectangle be x+1 meter
Let the breadth of the rectangle be x meter
Also given that perimeter of the rectangle is 30 meters
To find length and breadth of the rectangle
We know that perimeter of the rectangle is P = 2 (l+b)
30 = 2 (x+x+1)
15 = 2x + 1
2x = 14
x = 7
x+1 = 8
Hence, the length of the rectangle is 8m and width of the rectangle is 7m
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For what values of k will the function f(x) = 9x² + 4x + k have 1 real roots.
Hello,
Answer:
for k = 4/9
Step-by-step explanation:
a = 9 ; b = 4 ; c = k
we search Δ = 0 (because 1 real root)
Δ = b² - 4ac = 4² - 4 × 9 × k = 16 - 36k
Δ = 0 ⇔ 16 - 36k = 0 ⇔ 36k = 16 ⇔ k = 16/36 = (4 × 4)/(4 × 9) = 4/9
⇒ k = 4/9
Answer:
[tex]\{\frac{4}{9} \}[/tex]
Step-by-step explanation:
First off, we are given a parabola by definition:
[tex]f(x) = 9x^2 + 4x + k \\ a = 9, b = 4, c = k;[/tex]
Since [tex]a > 0[/tex], our parabola has an upward opening.
Should we think about it graphically, it will be no wonder that we should pay our attention to the points of the parabola intersecting the abscissa axis. In other words, we need our vertex to intersect the x axis only once per se.
The vertex:
[tex]V_{x} = \frac{-b}{2a} = \frac{-4}{2 * 9} = - \frac{2}{9} \\ V_{y} = 9V_{x}^2 + 4V_{x} + k = 9(- \frac{2}{9})^2 + 4(- \frac{2}{9}) + k = 9 * \frac{4}{9^2} - \frac{8}{9} + k = \frac{4}{9} - \frac{8}{9} + k = - \frac{4}{9} + k[/tex]
As a result, our [tex]V_{y}[/tex] is parametric. [tex]k = \frac{4}{9}[/tex] suits us because [tex]V_{y} = - \frac{4}{9} + \frac{4}{9} = 0[/tex]. If [tex]k > \frac{4}{9}[/tex], we do not have any roots at all. We have two roots if [tex]k < \frac{4}{9}[/tex].
help me please!!! 30 points
Answer:
17 square centimeters.
Step-by-step explanation:
Divide the rectangle into a 3x5 rectangle and a 2x1 rectangle.
(3x5)+(2x1)=17
17 square centimeters.
You withdraw $140 from your savings account. then you withdraw $49 more. using an integer, which number represents your balance?
The integer represent the balance in your account is Z = + Y. The representation of integer is positive because withdrawal is always less then or equal to the amount present in the bank account.
Total rupees withdraw from saving account is $149
Let total amount in account before withdrawing is X= $500
Amount left after withdraw the money is calculated by a
AMOUNT LEFT = TOTAL AMOUNT - WITHDRAW AMOUNT
So, put the values then
Y= X($500) - $149
Y= $500 - $149
Y= $351
If we represent the balance of saving account in the integer form then it become the Z = + Y. The representation of integer is positive because withdrawal is always less then or equal to the amount present in the bank account.
So, The integer represent the balance in your account is Z = + Y. The representation of integer is positive because withdrawal is always less then or equal to the amount present in the bank account.
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write each polynomial in standard form. Then give the leading coefficient. You may need to combine like terms before writing the polynomial in standard form.
18y^5-3y^8+10y
Answer: y(-3y^7+18y^4+10)
Step-by-step explanation:
Select the correct answer. What is one root of this equation? 2x^2-4x+9
Answer:
1±i sqrt(7/2)
Step-by-step explanation:
For this equation you would need to use quadratic formula: x=(-b+-square root b^2-4ac)/2a
Answer:the answer is option E (see pic)
Step-by-step explanation:
One root would be: x =(4-√88)/-4=1+1/2√ 22 = 1.345
20 POINTS
A circle has a diameter of 24cm. What is its circumference?
Use 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer
Answer:
c = 75.36 cm
Step-by-step explanation:
The equation of the circumference is:
[tex]c=\pi d[/tex] In which "d" represents the measurement of the diameter
in this case d= 24cm, π = 3.14
Calculate the circumference:
[tex]c=\pi d=(3.14)(24)=75.36cm[/tex]
Hope this helps
A circle has a diameter of 24cm. The circumference of the circle is c = 75.36 cm.
What is the circumference of the circle?The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.
The circumference of the circle = 2πr
Given information;
A circle has a diameter of 24cm.
"d" represents the measurement of the diameter, so
d= 24cm, π = 3.14
Radius = d/ 2 = 12
Calculate the circumference:
The circumference of the circle = 2πr
= 2 ( 3.14 ) ( 12)
= 75.36
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Which graph shows the solution to y2-2x+10?
Which graph represents the function f (x) = StartFraction 3 x minus 2 Over x minus 2 EndFraction?
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 2, and the horizontal asymptote is at y = 0.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the left in quadrant 2, and the other curve opens down and to the left in quadrant 4. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 1.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the left in quadrant 2, and the other curve opens down and to the left in quadrant 4. A vertical asymptote is at x = negative 2, and the horizontal asymptote is at y = 4.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 2, and the horizontal asymptote is at y = 3.
The graph which represents the rational function is; On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 2, and the horizontal asymptote is at y = 3.
Which graph represents the rational function?It follows from the task content that the rational function given is; f(x) = 3x-2/x-2.
Hence, since the numerator and denominator polynomials are of the same order, it follows that the horizontal asymptote is the quotient; 3/1 = 3.
Additionally, the vertical asymptote of the function is the value of x which renders the denominator equal to 0 and consequently, the function undefined.
Hence, x -2 = 0 and x= 2.
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Answer: THE PERSON ABOVE IS CORRECT!!
The answer is D.) On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 2, and the horizontal asymptote is at y = 3.
Suppose A and B are 2x2 matrices and that AB = BA =
which of the following statements is correct?
The correct statement about the matrix is B. B^-1.
How to illustrate the matrix?From the information, it can be seen that the matrix is 2 by 2. Based on the information about the matrix, 1/3AB = 1/3BA.
From this, it can be depicted that the inverse of B illustrates that:
A(1/3B) = (1/3B)
This illustrates that the correct is B.
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Tim Hortons is hiring and offers $200 every week plus $5 per hour. McDonalds offers $300 every week plus $2 per hour. State the conditions under which Tim Hortons is the better employer.
Answer: After working for 33 [tex]\frac{1}{3}[/tex] hours a week
Step-by-step explanation:
Let us write equations to represent these two places. Let x be hours worked and y be money earned.
Tim Hortons:
$200 + $5x = y
McDonalds:
$300 + $2x = y
Now, to find the conditions of which Tim Hortons is the better employer (on the basis of money earned) we must find the interval that Tim Hortons pays more. This can be found by setting up another equation, or by graphing. I have shown both. See attached for the graph.
$200 + $5x > $300 + $2x
$5x > $100 + $2x
$3x > $100
x > [tex]\frac{100}{3}[/tex]
x > 33.3334
Tim Hortons is the better employer after an employee has worked for 33 [tex]\frac{1}{3}[/tex] hours a week.
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help me out plsss I need to turn this in now
Answer:
Complementary angles are:
∠ORS and ∠SRQ
Supplementary angles are:
∠ORP and ∠PRQ
Which of the lines is the graph of x=1−y?
Answer:
y = -x + 1
(Image of what graph looks like is attached)
Step-by-step explanation:
x = 1 - y can be rewritten into y = mx + b format.
x = 1 - y (subtract 1 from both sides)
x - 1 = -y (multiply by -1 to both sides)
y = -x + 1
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i need help right now
here u go hope this helps
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!! GEOMTREY
Answer:
[tex]m\angle{ABC}=144^{\circ}[/tex]
Step-by-step explanation:
By using Angle Addition Postulate, it holds:
[tex]m\angle{ABD}+m\angle{DBC}=m\angle{ABC}[/tex]
Substitute [tex]m\angle{ABD}=76^{\circ}[/tex] and [tex]m\angle{DBC}=68^{\circ}[/tex] into the equation:
[tex]76^{\circ}+68^{\circ}=m\angle{ABC}[/tex]
Add the measures:
[tex]m\angle{ABC}=144^{\circ}[/tex]
Fiona divided 3x2 5x-3 by 3x 2. the expression represents the remainder over the divisor. what is the value of a? -5 -1 1 5
The value of a is -5 if the provided polynomial is divided by (3x + 2) option first -5 is correct.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have a polynomial:
3x² + 5x - 3
Which is divided by (3x + 2)
= (3x² + 5x - 3) ÷ (3x + 2)
[tex]\rm = \dfrac{\left(3x^2+5x-3\right)}{\left(3x+2\right)}[/tex]
[tex]\rm =x+\dfrac{3x-3}{3x+2}[/tex]
[tex]\rm =x+1+\dfrac{-5}{3x+2}[/tex]
[tex]\rm =x+1-\dfrac{5}{3x+2}[/tex]
By comparing with the given remainder.
a = -5
Thus, the value of a is -5 if the provided polynomial is divided by (3x + 2) option first -5 is correct.
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the ratio equivalent to tan P and tan Q
Answer:
Tan p is 20/21
Tan q is 21/20
Step-by-step explanation:
Tan is short for tangeant.
tangeant means opposite/adjacent
the opposite of vertices p is 20.
the adjacent of vertices p is 21.
so tan p= 20/21
The opposite of vertices q is 21
the adjacent of vertices q is 20
so tan q is 21/20
Solve each triangle – find any missing side and angle measures. Round answers to the nearest tenth.
Answer:
A = 55 degrees
B = 35 degrees
C = 90 degrees
side BA = 4.8 units
side AC = 2.7 units
side BC = 3.9 units
Step-by-step explanation:
Hello!
The things we know:
A = 55 degrees
C = 90 degrees
side BA = 4.8 units
AC = adjacent side
BC = opposite side
AB = hypothenuse
B = 180 - 55 - 90 degrees
B = 35 degrees
Let's find side AC
we can use the cos of theta.
cos(55) = AC/4.8
multiply 4.8 on both sides.
4.8cos(55) = AC
AC = 2.7 units
And now we just have to find BC
to calculate BC we can either use tangent or sin.
I will just use sin
sin(55) = BC/4.8
multiply 4.8 on both sides.
4.8sin(55) = BC
BC = 3.9
And now we know everything about the triangle
Hope I Helped!
These triangles
are congruent by
the triangle
congruence
postulate [ ? ]
A. SSS
B. SAS
C. Neither, they are not congruent
Answer:
ksb said did bud did did it did did gc victory in suf did did zudbxudng jc fn facing did fjgduf bdyrut during their fyrhfb hi f f7djdufj fhdf. Is A
What is the difference of the rational expressions below?
4x 2x
9
9
O A.
6x
O B.
2x
O C.
O D. Ex
Answer:
B
Step-by-step explanation:
[tex]\frac{4x}{9}[/tex] - [tex]\frac{2x}{9}[/tex]
since the denominators are common , then subtract the numerators, leaving the common denominator.
= [tex]\frac{4x-2x}{9}[/tex]
= [tex]\frac{2x}{9}[/tex]