Answers
Answer:
(2, 6).
Step-by-step explanation:
The solution is the ordered pair where the 2 lines intersect.
Answer:
(2, 6)
Step-by-step explanation:
Take a look at the graph.
The problem has rather helpfully graphed out the two equations presented to us, and the point in which both lines intersect is (2, 6), making this pair your solution.
If you'd like to check, plug in the corresponding variables.
x = 2
y = 6
First equation:
y = x + 4
6 = 2 + 4
6 = 6
The equation is true.
Second equation:
y = -0.5x + 7
6 = (-0.5 x 2) + 7
6 = -1 + 7
6 = 6
This equation is true as well.
Please inform me of any mistakes.
Related Questions
Solve the following quadratic equation for all values of x in simplest form.
(x – 4)^2 – 47 = 32
Answers
Answer:
x=4-√79, x=4+√79
Step-by-step explanation:
A rectangular sheet of cardboard 3 feet by 5 feet will be made into an open box by cutting equal-sized squares from each corner and folding up the four edges. A diagram of the unfolded box is provided in figure, the shaded region represents the area
that was cut from the corners of the box. What is the largest volume of such a box?
Answers
Answer:
4[tex]x^{3}[/tex] - 16[tex]x^{2}[/tex] + 15x
Step-by-step explanation:
length = 5 - 2x
width = 3 - 2x
heighth = x
x(5 - 2x)(3 - 2x)
x(15 -16x + 4[tex]x^{2}[/tex])
4[tex]x^{3}[/tex] - 16[tex]x^{2}[/tex] + 15x
The largest volume of such a box is 4.345[tex]ft^{3}[/tex].
Given that,
A rectangular sheet of cardboard 3 feet by 5 feet will be made into an open box by cutting equal-sized squares from each corner and folding up the four edges.
The shaded region represents the area that was cut from the corners of the box.
We have to determine,
The largest volume of such a box.
According to the question,
The height will be x
The width will be (3 − 2 x)
And the length will be ( 5− 2 x)
.
The formula for volume will be,
[tex]Volume = Length \times Height \times Width\\\\[/tex]
Substitute the values in the formula,
[tex]Volume = x(3-2x).(5-2x)\\\\Volume = (3x-6x^{2}).(5-2x)\\\\Volume = 3x(5-2x) - 6x^{2}(5-2x)\\\\Volume = 15x - 6x^{2} - 30x^{2} + 12x^{3}\\\\Volume = 12x^{3} -36x^{2} + 15x[/tex]
Then,
To Find the derivative of the equation,
[tex]V = 12x^{3} -36x^{2} + 15x\\\\Differentiate\ with\ respect\ to\ x\ both\ sides,\\\\\dfrac{dv}{dx} = \dfrac{d(12x^{3} -36x^{2} + 15x)}{dx}\\\\V' = 36x^{2} - 72x+15[/tex]
The critical numbers by seeing where V ' = 0,
[tex]= 36x^{2} -72x +15\\\\= 3 ( 12x^{2} - 24x +5 )\\[/tex]
By using the quadratic formula or your calculator to solve for
x = 0.23, and 1.6
x = 1.6 is not in the domain since that would make one of our side lengths less than zero. x = 0.23
Plug x back into the equations to get the dimensions,
[tex]3-2x = 3- 2 \times -0.23 = 3+0.46 = 3.46\\5-2x = 5 - 2 \times -0.23 = 5+0.46 = 5.46[/tex]
Therefore, the dimension are 0.23 ft x 3.46 ft x 5.46 ft.
Hence, The largest volume of such a box is 4.345[tex]ft^{3}[/tex].
To know more about Dimension click the link given below.
https://brainly.com/question/23288467
13 and 14, 10 points no links please
Answers
14: B
For 13, plug the 9 into the equation where b is, you get 3 • 9 = 27 (the 27 is s)
For 14, ordered pairs go horizontal distance first then vertical distance
Answer:
13 is c
14 is b
Step-by-step explanation:
1. list the pairs of alternate exterior angles
2. list the pairs of corresponding angles
3. if m<a is 112°, find the measure of the remaining angles
Answers
Answer:
1. m<a and m<h, m<e and m<d
2.m<a and m<c, m<b and m<d, m<e and m<g, m<f and m<h
3. m<a= 112
m<c=112
m<f=112
m<h=112
m<b=68
m<d=68
m<e=68
m<g=68
Find the surface area of each pyramid round to the nearest tenth if necessary
Answers
Answer:
457.9
Step-by-step explanation:
Please help me with my math ASAP!
Answers
Hello !
Answer:
[tex]\large\boxed{\sf Option\ 3 : 66cm}[/tex]
Step-by-step explanation:
The circumference of a circle is given by [tex]\sf C=2\times\pi\times r[/tex], where r is the radius.
Given :
d = 21 cmr = d/2 = 10.5 cmπ =3.14Let's replace r with its value in the previous formula :
[tex]\sf C=2\times 3.14\times 10.5[/tex]
[tex]\sf C=65.94[/tex]
[tex]\boxed{\sf C\approx 66cm}[/tex]
Have a nice day
Anne has worn a black shirt on 6 of the last 20 days. Considering this
data, how many times would you expect Anne to wear a black shirt in the
next 10 days?
Answers
Answer:
3
Step-by-step explanation:
Considering she wore a black shirt 6 times in 20 days will give you the statistic of 3/10. If the question is about the next 10 days then she will wear 3 black shirts. (It's also 1/2 of the original question.)
“The class buys 3 bags of apples. Each bag has 24 apples. The total cost of the 3 bags of apples is $12.24. The class sells the apples for $0.75 each. How much money will the class gain per apple”
Answers
54 - 12.24 = $41.76 total profit
41.76/3 = 13.92
13.92/24 = 0.58 cents per apple
what is y=36^2 x 49
HELP MEEEEEEEEE!!!!!!!!
Answers
Answer: y=36^(2)x*49
Step-by-step explanation: Graph.
Brainliest or a thank you if im right please :)) <3
what type of lines are x-3y=-3 and 6x+2y=-12
Answers
Answer:
Perpendicular
Step-by-step explanation:
what is the answer to 1/3=n+3/4
Answers
Answer: n=-5/12
Step-by-step explanation: 1/3-3/4=-5/12
hoped this helped :))
Answer: n= 5/12
Step-by-step explanation: 13=+3413=n+3431=n+4313−34=+34−34
Hope this helps!
if y=3x - 6 and x=7, then y = ??
Answers
Answer:
y=15
Step-by-step explanation:
y=21 - 6
y = 15
hope this helped!
A filter in the shape of a cone has a diameter of 3 inches and a height of 4 inches.
How much liquid can the filter hold without it overflowing?
A.
B.
C.
D.
Answers
Answer:
9.42 cubic inches
Step-by-step explanation:
We are to find the volume of the cone.
The formula is given as:
1/3πr²h
From the question,
Diameter = 3 inches, Radius = D/2 = 3/2
r = 1.5 inches
h = 4 inches
Hence, the volume of the cone =
1/3 × π × 1.5² × 4
= 9.42 cubic inches
Therefore, the filter can hold 9.42 cubic inches of liquid without overflowing.
What are the angle measures of the triangle?
A. 30°, 60°, and 90°
B. 45°, 45° and 90°
C. 60°, 60°, and 60°
D. They cannot be determined.
Answers
Is this to check
A shoe store donated a percent of every sale to hospitals. The total sales were $8900 so the store donated $356. What percent of $8900 was donated
Answers
Answer:
4%
Step-by-step explanation:
Given data
The total sales= $8900
Donated amount=$356
Hence the percent donated is
=Donated amount/Total Sales *100
= 356/8900*100
=0.04*100
=4%
Hence the donated percent is 4%
If a line contains the point (0, 1) and has a slope of 2, then which of the following points also lies on the line? (1,3) (3,1) (2,2) (2,3)
Answers
Answer:
(1,3)
Step-by-step explanation:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis, or when x is equal to 0).
We're given that this line contains the point (0,1). This tells us that the y-intercept (b) of the line is 1. We're also given that this line has a slope (m) of 2. Plug these values into [tex]y=mx+b[/tex]:
[tex]y=2x+1[/tex]
Now, plug in all of the possible points to see which are solutions.
1) (1,3)
[tex]3=2(1)+1\\3=2+1\\3=3[/tex]
Because the left side of the equation is equal to the right, (1,3) also lies on this line.
2) (3,1)
[tex]1=2(3)+1\\1=6+1\\1=7[/tex]
Because the left side is not equal to the right, (3,1) does not lie on the line.
3) (2,2)
[tex]2=2(2)+1\\2=4+1\\2=5[/tex]
Because the left side is not equal to the right, (2,2) does not lie on the line.
4) (2,3)
[tex]3=2(2)+1\\3=4+1\\3=5[/tex]
Because the left side is not equal to the right, (2,3) does not lie on the line.
I hope this helps!
Find an equivalent ratio in simplest terms:
56 : 22
Answers
I need help with this one. Please. thanks!
Answers
Explanation:
Get x by itself therefore subtract 6 from both sides
24 = 4x
Divide both sides by 4
6=x
Hope this helps ;)
Answer:
x=6
Step-by-step explanation:
30=6+4x
you have to combine the number that are the same, like 2 and 4 or 3x and 4x
30-6=4x (you should always remember when you move a number if it was - it will turn +)
30-6=4x
24=4x
x=24/4
x=6
En un parque de forma circular de 700 m de radio hay situada una fuente,
tambien de forma circular, de 5 m de radio. Calcula el área de la zona de
paseo.
Answers
área del parque
A=Pi . R^2
A=Pi (700m^2)
A=3.1416 x 490000m^2
A= 1539380.4 m ^2
área de la fuente
a= Pi. r^2
a=Pi (5cm^2)
a=3.1416 x 25cm^2
a= 78.54 cm^2
Luego lo que hacemos que al area grande le restamos la pequeña.
pero antes que nada convertiremos los metros a centimetros.
A= 1539380.4 m^2
1539380.4 m^2 (100cm/1m)
eliminaras los metros y te quedara asi
1539380.4 ( 100 cm/ 1)
153,938,040 cm^2
luego restamos A-a
153,938,040 cm^2 - 78.54cm^2
R/ el area de la zona de paseo es de 153937961.5 cm^2 !!
Find the average of the list of Fahrenheit temperatures.
- 17°, 2°, -90,30, 12°, -5°, and 7°F
Answers
Answer:
-8.71428571
Step-by-step explanation:
Calculator gl
The temperature in an oven changes from 350 degrees to 362% What is the percent increase in temperature, to the nearest tenth of a percent?
Answers
Answer:
3.43%
Step-by-step explanation:
362-350=12
12:350*100 =
(12*100):350 =
1200:350 = 3.43
Choose all the expressions that are equivalent to 4x-20.
x (4 - 20)
2 (2x - 10)
4(x - 20)
4(x - 5)
Answers
Answer:
4(x-5)= 4x-20
so the equivalent equation is 4(x-5)
Answer:
I don't actually know sorry
Step-by-step explanation:
I don't know
please both the question please
Answers
Explanation: if you were to add everything up there would be 17 boys and 17 girl and then you would end up with 6 people who write with their left hand and 28 people who right with their right hand. I hope this helps
Answer:
Boys: 2/17
Girls: 4/17
Step-by-step explanation:
2 + 15 = 17 (to get the total number of boys in Sapphire's class)
4 + 13 = 17 (to get the total number of girls in the class)
The proportion is how many who are left handed over the total number of girls/boys. ^^
So, left-handed for boys = 2, which makes the proportion 2/17
And there are 4 left-handed girls, so the proportion is 4/17
8. Jackie converted the following decimals to fractions. Which decimal did she
convert incorrectly?*
0.005
0.3
0.625
0.8
Please hurry and answer
Answers
Answer:
B
Step-by-step explanation:
Answer:
it's 0.625
Step-by-step explanation:
Find the radius when d=18
Answers
Answer:
9
Step-by-step explanation:
radius is half of the diameter
what is the measure of EACH exterior angles t
of the polygon shown?
Answers
Answer:
45 degrees
Step-by-step explanation:
The following shape is an octagon, having 8 sides and knowing that any regular polygon has an exterior angle value of 360 degrees, you can say 360/8 to find the measure of each exterior angle, leading to equal 45 degrees.
Hope it helped! (:
© A new car cost $14875. Three years later, the insurance company valued it at $10700. Calculate the percentage
reduction in value over the three years.
Answers
Answer: either I don't understand the question or its 72% and I'm fairly certain its 72%
Find the value of angle A and angle B pls help (:
Answers
Answer:
m<A=97
m<B=97
Step-by-step explanation:
m<A=m<B
Congruent angles and they are vertical angles. The other two are also the same because the angles given have the same degrees.
m<A is supplementary to 83 degrees
Supplementary angles are two angles that sum up to 180 degrees.
180-83=97
97 degrees is the answer for each missing angles.
2. The mean weight of the students on the
Trail Middle School wrestling team is 150
pounds with a mean absolute deviation of
10 pounds. The mean weight of the
students on the Burlington Middle School
wrestling team is 130 pounds with a mean
absolute deviation of 10 pounds. By how
many pounds is the mean weight of the
students on Trail's team greater than the
mean weight of the students on
Burlington's team?
Answers
Answer:
The mean of Trail Middle School wrestling team is greater by 20 pounds as compared to that of Burlington Middle School wrestling team
Step-by-step explanation:
Since the value of absolute deviation in case of Trail Middle School wrestling team and Burlington Middle School wrestling team is same. Hence, there will be no impact of it while determining the difference in mean deviation of both the team.
Thus, the difference in mean deviation is [tex]150-130 = 20[/tex]
The mean of Trail Middle School wrestling team is greater by 20 pounds as compared to that of Burlington Middle School wrestling team
Math question plz help
Answers
y=5x-3 I think so.....