Answer:
[tex](-3.1, -32.5)[/tex]
Step-by-step explanation:
Set the equations equal to each other: 25x+45=15x+14
Solve for x: 10x = -31
Solve for x: x=-3.1
Plug the x value back into one of the equations to find the value of y:
y = 15 (-3.1) +14
y = -32.5
Answer:
7,68
Step-by-step explanation:
y=2x+54
y=15x+14
you can do elimination so you need to multiply the x's by -15 and 2
y=-30x+54
y=30x+15
the x's are canceled out and you add the remaining
y=54. y=68
y=15
To find x you makes an equation of one of the equations given
68=2x+54
14=2x
7=x
A (litres)
160
140
120
100
The amount of oil A left in a leaky barrel after
t minutes is shown on the graph alongside.
a Find the gradient and A-intercept of the line.
Interpret your answers.
6 Find the model connecting A and t.
c. How much oil will be left after 15 minutes?
d For what values of t is it reasonable to apply
this model?
80
60
40
20
0
12
6
(minutes)
Answer:
Step-by-step explanation:
Graph attached represents the relation between amount of oil left in the leaky oil tanker and time.
a). Gradient of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{(160-120)}{(0-8)}[/tex]
= -5
A-intercept = 160
b). Linear equation to represent the given relation in the graph will be,
A = (-5)t + 160
c). At t = 15 minutes,
A = (-5)(15) + 160
A = -75 + 160
A = 85 liters
d). This model is applicable till the container gets fully emptied.
For A = 0,
0 = -5t + 160
t = [tex]\frac{160}{5}[/tex]
t = 32 minutes
Therefore, this model is reasonable up to t = 32 minutes.
Set up the equation you would use to solve the problem.Do not actually solve the equation.
A plane flies 390 miles with the wind and 325 miles against the wind in the same length of time. If the speed of the wind is 10 miles per hour, fine the speed of the plane in still air. (Let x = speed of the plane.)
A. 390/x+20 = 395/x
B. 390/x+10 = 325/x-10
C. 390/x = 325/x-20
D. 390/x-10 = 325/x+10
7x (6 x t) and (7 x 6) x t
If your question is which propperty is used in that opperation
Answer: The commutative property of multiplication
Step-by-step explanation: The comutative property of multiplication says that the order in which elements are multiplied the result is the same.
Sophia scored 33 points in a basketball game. She scored four more two-point baskets than three-point baskets. Write a system of equations in standard form that models this situation.
How many three-point baskets did Sophia make?
please right step by step :)
Answer:
33=2(4)+3x
8 Three Points
1. Find the volume of the cylinder. (no units-round to nearest tenth
7 km
8 km
Answer:
1407.43 would be your answer
Step-by-step explanation:
The formula is [tex]\pi r^2h[/tex], so plug 8 and 7 into the equation, and you'll get your answer. Hope this helps :)
helpppp plzzzzzzzzzzzzzzz
Answer:
y= 0.2(0.05)^x
Evaluate the expression. (343)^-1/3
Answer:
1/7
Step-by-step explanation:
A company sells bottles of vitamin capsules. The graph and table show the linear relationship between the cost per capsule in cents and the number of bottles ordered.
A. y= -5x – 70
B. y= 5x +70
C. y=-5x + 70
D. y= 70x - 5
Answer:
C
Step-by-step explanation:
Trust me and vote brainliest
Suppose M(3-1) is the midpoint and B has coordinates (1,4). What are the coordinates of A?
what is 2 + 2-(-3 x 10
pic a pic that will be best as my pfp
Answer:
Step-by-step explanation:
Combine Like Terms:
=2+2+3x^10
=(3x^10)+(2+2)
=3x^10+4
Answer:
34
Step-by-step explanation:
2+2+30 Simplify
34 add the numbers
Hope that helps
Select the table that represents a proportional relationship between X and Y
The answer is A
Step-by-step explanation:
Sara went shopping. She bought six oranges at $0.25 each, two apples at $0.40 each, three plums at $0.18 each. She gave the cashier $5.00. How much change will Sara receive from the $5.00?
Answer:
$2.16
Step-by-step explanation:
Amount of change received
= $[5.00-0.25(6)-0.40(2)-0.18(3)]
= $(5.00-1.50-0.80-0.54)
= $2.16
The new pastry chef at Jackson's Bakery specializes in sheet cakes for parties. She sold 17 small, 11 medium, and 20 large sheet cakes in one week. How much money did Jackson's Bakery make in one week from sheet cakes?
Answer:
Therefore the total amount that Jackson's Bakery made in one week from sheet cakes is: = $2,238
Step-by-step explanation:
Step One:
To arrive at the total amount made from the sheet cakes, we have to assign the prices of each type of cake. They are:
Small Sheet Cake - $36Medium Sheet Cake - $46Large Sheet Cake - $56Step Two:
If the new pastry sold 17 small, 11 medium and 20 large sheet cakes respectively, the total money made comes to the following:
= (36 x 17) + (11 x 46) + (56 x 20)
= 612 + 506 + 1120
Therefore the total amount that Jackson's Bakery made in one week from sheet cakes is:
= $2,238
Cheers!
You must be at least 42 inches tall to ride the bumper cars at an amusement park. Write an inequality that represents this situation. Let x represent the heights of people who are allowed to ride the bumper cars.
Answer:
x ≥ 42
Step-by-step explanation:
If you must be at least 42 inches tall to ride the bumper cars at an amusement park, this means that the minimum average height you can have is 42in i.e you can be more than 42inches tall.
The right inequality sign to represent this situations is a "greater than or equal to sign"(≥)
If x represent the heights of people who are allowed to ride the bumper cars, the required inequality expression will be x ≥ 42
The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations).
Answer:
Area of the shaded region = 16(π - 2) in²
Perimeter of the shaded region = 4(π + [tex]2\sqrt{2}[/tex]) in
Step-by-step explanation:
Since, BDC is a quarter of the circle with radius = 8 in.
Area of the quarter of the circle = [tex]\frac{1}{4}(\pi)(r)^2[/tex]
= [tex]\frac{1}{4}(64)\pi[/tex]
= 16π in²
Area of ΔBCD = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(8)(8)[/tex]
= 32 in²
Since, area of the shaded part = Area of quarter of the circle - Area of triangle BCD
= (16π - 32)
= 16(π - 2) in²
Therefore, area of the shade region = 16(π - 2) in²
Similarly, length of arc BD = [tex]\frac{1}{4}(2\pi r)[/tex]
= [tex]\frac{8\pi }{2}[/tex]
= 4π in.
Length of the diagonal of a square = (Side)√2
= 8√2 in
Perimeter of the shaded region = Length of arc BD + Length of diagonal BD
= 4π + 8√2
= 4(π + 2√2) in.
Issa jogged two-thirds of the way home from school. Then he was tired, so he walked the remaining 3,200 m.
How many kilometers did Issa travel from school to his house?
Answer:
9.6km
Step-by-step explanation:
3200/(1/3)=
3200*3/1=9600 m=9.6km
Which equation is equivalent to 8x + 2y = 10?
Answer:
y=-4x+5
Step-by-step explanation:
8x+2y=10
2y=10-8x
divide by 2
y=5-4x
y=-4x+5
On a coordinate plane, three of the four vertices of a rectangle are located at the points (0,0). (5,5), and (6,2). What is the area, in square units of the rectangle?
Using the distance formula and the area of a rectangle, the area of the rectangle in square units is: B. 10√5
What is the Area of a Rectangle?Area of rectangle = length × width.
What is Distance Formula?Distance Formula is given as: [tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex].
Thus:
Length of rectangle = distance between (0, 0) and (5, 5)
[tex]d = \sqrt{(5 - 0)^2 + (5 - 0)^2}\\\\d = \sqrt{50}[/tex]
Width of rectangle = distance between (5, 5) and (6, 2)
[tex]d = \sqrt{(2 - 5)^2 + (6 - 5)^2}\\\\d = \sqrt{10}[/tex]
Area of rectangle = √50 × √10
= √500
Area = 10√5
Therefore, using the distance formula and the area of a rectangle, the area of the rectangle in square units is: B. 10√5
Learn more about area of rectangle on:
https://brainly.com/question/25292087
A geometry student named Cornell claims that the two triangles in the diagram below are similar to one another. He asserts that the LMN is similar to STU because the sides on the bigger triangle are spaced the same as the sides of the smaller triangle.
Explain why Cornell is mistaken in his conclusions about LMN and STU. In writing your response, be sure to explain the concept of proportionality. Also be sure to include important math vocabulary such as
similarity, corresponding sides, and ratios.
given
[tex] log_{2}(x) = \frac{3}{ log_{xy}(2) } [/tex]
express y in terms of x
Answer:
[tex]\displaystyle y = x^{-\frac{2}{3}}[/tex]
Step-by-step explanation:
Logarithms
Some properties of logarithms will be useful to solve this problem:
1. [tex]\log(pq)=\log p+\log q[/tex]
2. [tex]\displaystyle \log_pq=\frac{1}{\log_qp}[/tex]
3. [tex]\displaystyle \log p^q=q\log p[/tex]
We are given the equation:
[tex]\displaystyle \log_{2}(x) = \frac{3}{ \log_{xy}(2) }[/tex]
Applying the second property:
[tex]\displaystyle \log_{xy}(2)=\frac{1}{ \log_{2}(xy)}[/tex]
Substituting:
[tex]\displaystyle \log_{2}(x) = 3\log_{2}(xy)[/tex]
Applying the first property:
[tex]\displaystyle \log_{2}(x) = 3(\log_{2}(x)+\log_{2}(y))[/tex]
Operating:
[tex]\displaystyle \log_{2}(x) = 3\log_{2}(x)+3\log_{2}(y)[/tex]
Rearranging:
[tex]\displaystyle \log_{2}(x) - 3\log_{2}(x)=3\log_{2}(y)[/tex]
Simplifying:
[tex]\displaystyle -2\log_{2}(x) =3\log_{2}(y)[/tex]
Dividing by 3:
[tex]\displaystyle \log_{2}(y)=\frac{-2\log_{2}(x)}{3}[/tex]
Applying the third property:
[tex]\displaystyle \log_{2}(y)=\log_{2}\left(x^{-\frac{2}{3}}\right)[/tex]
Applying inverse logs:
[tex]\boxed{y = x^{-\frac{2}{3}}}[/tex]
10
Mr. Jones purchased a new Bluetooth speaker for $89.99. Sales
tax is 8%. How much will Mr. Jones pay for the speaker with
sales tax?
A. $82.79
B. $90.08
C. $97.19
D. $107.20
Answer:
I believe the answer is C. hope this helps
Answer:
C
Step-by-step explanation:
uh i DD this answer on a test so ya
lua is creating a rectangular prism the base of her prism is shown below she plans to have a height of 7 cubes
what will the volume of the completed figure be?
_______ cubic units
Answer:
63
Step-by-step explanation:
hhehehehhehehehehh hope this helps
I NEED THE ANSWER ASAP!!!!
Answer:
H.
Step-by-step explanation: Best one out of the rest, I'm 75% sure it may be right just by memory.
2.
Using long division method, divide the following polynomials by a binomial and
check your answer.
4p3 - 4p2 + 6p - 5/2by 2p - 1
Answer:
2p^2-p + 5/2
Step-by-step explanation:
Here, we want to use long division method
Please check attachment for the long division process
According to the long division, the answer is
2p^2-p + 5/2
To check the answer, we multiply the binomial by the result of the division
That will be;
(2p-1)(2p^2-p + 5/2)
= 4p^3-2p^2+5p-2p^2+p-5/2
= 4p^3-2p^2-2p^2+5p+p-5/2
= 4p^3-4p^2+ 6p - 5/2
we then conclude that our answer is correct
The expression (2x2)3 is equivalent to _____.
a.6x2
b.6x5
c.8x6
Answer:
A
Step-by-step explanation:
(2x2)3
= (4)3
=12
6x2 = 12
So the answer is A
help , read the question. please help me
BRAINLIEST !
Answer:
9.76 years turns 900 dollars into 1200 dollars.
Step-by-step explanation:
A(t) = 900*(1.03)^t
1200 = 900 * (1.03)^t Divide by 900
1200/900 = (1.03)^t
1.333 = 1.03^t Take the log of both sides.
log(1.3333) = t * log(1.03)log 1.3333 = .1249log 1.03 = .01281.249 = 0.0128*t
1.249/0.0128 t = 9.76 years.
What is the equation of the line that passes through the point (-5,5)and has a slope of -1
Answer:
y = - xStep-by-step explanation:
The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:
m = -1
(-5, 5) ⇒ x₀ = -5, y₀ = 5
The point-slope form of the equation:
y - 5 = -1(x + 5)
So:
y - 5 = -x - 5 {add 5 to both sides}
y = -x ← the slope-intercept form of the equation
Alicia drew a map of Texas. In the scale Alicia used for the map, 1/2 inch represents 20 miles. What is the distance between two cities on the map if the actual distance between the two cities is 360 miles?
Answer:
9 inches
Step-by-step explanation:
Given that,
For the graph, 1/2 inch represents 20 miles.
We need to find the distance between the cities on the map if the actual distance between the two cities is 360 miles.
1/2 inch = 20 miles
1 mile = [tex]\dfrac{\dfrac{1}{2}}{20}=0.025\ \text{inches}[/tex]
For 360 miles, = 0.025 × 360
= 9 inches
Hence, the required answer is 9 inches.
PLEASE HELP
ill raise points if needed
The sales tax rate is 5%. If Rebecca buys a lawn mower priced at $61, how much tax will she pay?
Answer:
3.05
Step-by-step explanation:
Step-by-step explanation:
(9a4 + 2a2 + 5) – (16a4 – 7a2 + 1)
A. 25a4 – 5a2 – 4
B. –7a4 – 5a2 + 6
C. 25a8 + 9a4 + 6
D. –7a4 + 9a2 + 4
5.Multiply 9x2(2x2 + 8x).
A. 18x4 + 72x3
B. 18x2 + 72x3
C. 11x4 – 17x3
D. 90x4