Find 5 solutions for the linear equation x+5y=21 and plot the solutions as points on a coordinate plane
Answers
Answer:
(21, 0), (16, 1), (11, 2), (6, 3), (1, 4) are solutions of [tex]x + 5\cdot y = 21[/tex]. Please see the image attached below to know the plot on the coordinate plane.
Step-by-step explanation:
Let [tex]x + 5\cdot y = 21[/tex], we can determine five distinct points by transforming this function into its explicit form. That is:
[tex]x = 21 - 5\cdot y[/tex]
Then, we evaluate the function at five distinct values of [tex]y[/tex]:
y = 0
[tex]x = 21-5\cdot (0)[/tex]
[tex]x = 21[/tex]
y = 1
[tex]x = 21-5\cdot (1)[/tex]
[tex]x = 16[/tex]
y = 2
[tex]x = 21 - 5\cdot (2)[/tex]
[tex]x = 11[/tex]
y = 3
[tex]x = 21-5\cdot (3)[/tex]
[tex]x = 6[/tex]
y = 4
[tex]x = 21-5\cdot (4)[/tex]
[tex]x = 1[/tex]
(21, 0), (16, 1), (11, 2), (6, 3), (1, 4) are solutions of [tex]x + 5\cdot y = 21[/tex].
Related Questions
What is the surface area of this shape?
Answers
Step-by-step explanation:
surface area if pyramid=area of base+combined area of lateral faces.
area of base=8×8=64
combined area if lateral faces=area of one triangle:area=base×height
=8×12=96
Total surface area=64+96
=160m square
Answer:
SA = 254
Step-by-step explanation:
Equation for a Pyramid (Surface Area) is : 2bs + b^2
2(8)(12) + [tex]8^{2}[/tex] =
16 (12) = 192 and 8^2 = 62
192 + 62 = 254
I hope I helped ;)
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answers
Step-by-step explanation:
angles in a triangle add up to 180degree
3x + 36 + 90 = 1803x =180 - 30 - 903x = 60 divide through by 3 givesx = 20degreeTherefore x =20°An actor was paid $2.1 x 10^6 (this an exponent) to star in a movie. If the
movie was 1 hr 45 min long, what was the actor's salary
per minute? Give your answer standard form.
Answers
Answer:
Step-by-step explanation:
one hour and 45 min=60+45=105 minutes
2.1x 10^6=210x 10^4 , i multiplied 2.1 by 100
210 x 10^4/105=2 x10^4=20,000/min
a map is drawn using a scale of 1cm/80 mi. two cities are 280 miles apart
how far apart are the cities on the map
Answers
Answer:
the cities are 3.5 cm apart.
Step-by-step explanation:
all you have to do is divide 280/80
Someone help asap Ill give brainlest!
Answers
Answer:
y = -3x -2
Step-by-step explanation:
-2 is the y intercept
What is the inverse function of
Answers
Answer:
Step-by-step explanation:
i think its C? dont take my word for it
can you please answer this? i dont understand
Answers
Answer:
Unit rate= constant change or slope Take two points: we see that as gallons increase per 2 gallons then the increase is 31 milesHence unit rate is 31/2 or 15.5Try the next one! As for any help!!Simplify: -2(-4-7b) + 10b
Answers
Answer:
8+24b
Step-by-step explanation:
Answer:
2(12b+4)
Step-by-step explanation:
-2(-7b-4)+10b : Rearrange the expression
2 : Find the greatest common factor of the terms.
-2(-7b-4)+10b : Focus on
2(7b+4+5b) : Factor out the greatest common factor
2(12b+4) : Simplify
Hope that helps
which expression is equivalent to,
2/3x+(-4)(-5)=5x?
A.1-X-91
B. 3x-1
C.1X-93x
D. X + 9
Answers
4. Write each Radical in Simplified Form (No Decimals.)
A) V28
B) 500
C) 7162
Answers
Answer:
[tex]\sqrt{28} = 2\sqrt{7}[/tex]
[tex]\sqrt {500} = 10 \sqrt {5[/tex]
[tex]\sqrt {162} = 9 \sqrt {2[/tex]
Step-by-step explanation:
Given (Correct Parameters)
[tex]\sqrt {28[/tex]
[tex]\sqrt {500[/tex]
[tex]\sqrt {162[/tex]
Required
Express in simplified form
[tex]\sqrt {28[/tex]
Express 28 as 4 * 7
[tex]\sqrt{28} = \sqrt{4} * \sqrt{7}[/tex]
Take positive square root of 4
[tex]\sqrt{28} = 2 * \sqrt{7}[/tex]
[tex]\sqrt{28} = 2\sqrt{7}[/tex]
[tex]\sqrt {500[/tex]
Express 500 as 100 * 5
[tex]\sqrt {500} = \sqrt {100} * \sqrt {5[/tex]
Take positive square root of 100
[tex]\sqrt {500} = 10 * \sqrt {5[/tex]
[tex]\sqrt {500} = 10 \sqrt {5[/tex]
[tex]\sqrt {162[/tex]
Express 162 as 81 *2
[tex]\sqrt {162} = \sqrt {81} * \sqrt {2[/tex]
Take positive square root of 81
[tex]\sqrt {162} = 9 * \sqrt {2[/tex]
[tex]\sqrt {162} = 9 \sqrt {2[/tex]
jim can paint 5 chairs with 11.3 gallons of paint how many chairs can he paint with 24.86 gallons
Answers
5 chairs=11.3
10 chairs=22.6
11 chairs=24.86
What is the value of the expression below when y = 9 and z = 3?
10y – 7z
Answers
90- 21
69
IGNORE MY ANSWERS BUT WILL SOMEONE PLEASE HELP ME!!!!!!!!!!!! 15 POINTS ON THIS QUESTION
Answers
Answer:
A=0 B=7 C=3 D=9 E=9 F=3 G=1 H=5 J=7 K=5
L=1
Step-by-step explanation:
Hope I helped!! :)
Sorry if it's wrong! :(
Pls mark brainliest if right!!!
Simplify this expresion.
(6x^5/2x^2)^2
Answers
Answer:
9x^14
Step-by-step explanation:
PEMDAS
do whats in the parenthesis then do the ^2
Answer:
9x^6
Step-by-step explanation:
1. Cancel the common factor of 6 and 2.
---> (3x^5 / ^2)^2
2. Cancel the common factor of x^5 and x^2.
---> (3x^3)^2
3. Simplify the expression.
---> 9x^6
need a quick answer please
Answers
Answer:
8 fits the equation
Step-by-step explanation:
hope this helps
Evaluate the expression below when x = 24 and y = 6.
sy
Answers
(46^2 + b - 2) (4b + 5)
Answers
Answer:
46^2+b-2/4b+5
2116+b-2/4b+5
=2114+b/4b+5
Step-by-step explanation:
The only feelings needed are sad and mad. Prove me wrong
Answers
Answer:
ur not wrong tho dang bcs those are like our main emotions sad and mad
You need happiness for your mental health!
Point M is between points L and N on LN. LN
6x, LM 4x + 8, and
MN 27. Use the information to solve for x, and then find LN.
Answers
Answer:
Step-by-step explanation:
4x+8 27
L-------------M-------------------------N
<------------------ 6x -------------------->
LM = 4x+8
MN = 27
LN = 6x
LM + MN = LN
4x+8 + 27 = 6x
35 = 2x
17.5 = x
LN = 6x = 6(17.5) = 105
The correct answer to the question is: x = 17.5, LN = 105
From the question given above, we obtained the following:
LN = 6x
LM = 4x + 8
MN = 27
x =? LN =?The value of x can be obtained as follow:
LN = LM + MN
6x = 4x + 8 + 27
6x = 4x + 35
Collect like terms
6x – 4x = 35
2x = 35
Divide both side by 2
x = 35 / 2
x = 17.5Finally, we shall determine the value of LN.x = 17.5
LN =?
LN = 6x
LN = 6(17.5)
LN = 105SUMMARY:x = 17.5LN = 105Therefore, the correct answer to the question is: x = 17.5, LN = 105
Learn more: https://brainly.com/question/17713975
Escherichia coli is a prokaryotic bacterium. How will Escherichia coli reproduce? A. binary fission B. budding C. mitosis D. regeneration?
Answers
Answer:
A. binary fission
Step-by-step explanation:
Escherichia coli is a prokaryotic bacterium. Escherichia coli reproduce asexually by binary fission. While Escherichia coli is undergoing binary division, the process starts with elongation of the cell. Two similar copies of the bacteria is then replicated followed by the formation of a septum.
the diagram shows a circle centre o. work out the value of a
Answers
Answer:
a = 49°
Step-by-step explanation:
From the figure attached,
In ΔBOC,
OB = OC = Radii of the circle O
Therefore, m∠OBC = m∠OCB = 41° [Opposite angles of the equal sides of a triangle]
By triangle sum theorem,
m∠OBC + m∠OCB + m∠BOC = 180°
41° + 41° + m∠BOC = 180°
m∠BOC = 180° - 82°
= 98°
Since, "angle subtended by an arc at the center is twice the angle subtended at the circumference",
m∠BOC = 2(m∠BAC)
98° = 2(a)
a = 49°
Find the values of x and y in the equation below.
HELP‼️‼️
Answers
Answer:
what are the valus of a and b
Step-by-step explanation:
What is the height of the trapezoid?
The area of the trapezoid is 40 square units.
6
h
O 3 units
O 5 units
O 10 units
O 12 units
10
Answers
Answer:
the answer is 5 I had to have 20 characters So imma put this
START
Step-by-step explanation:
its 5 units
A soccer ball has a mass of about
425 grams. A softball has a mass
of about 184 grams. What is their
total mass?
Answers
Answer:
609g
Step-by-step explanation:
425+184=609
Answer:
609
Step-by-step explanation:
425+184=609
So the answer is 609
An elementary school bus comes at 8:15 am every morning to pick up children in a neighborhood. The probability that the bus will be late is 0.19 and the probability that the bus will be early is 0.02.
What is the probability that the bus will arrive early next two days?
What is the probability that the bus will arrive on time next two days?
In two or more complete sentences, explain your calculations for parts A and B. In your explanation, include their similarities and differences.
Answers
Answer:
a. .02 * .02 = .0004
b. (1 - .02 - .19) = .79; .79*.79 = .6241
Step-by-step explanation:
The probability that the bus will arrive on time next two days is 0.79, The probability that the bus will arrive early next two days is 0.0004.
What is Probability?Probability is the likeliness of an event to happen, it has a range from 0 to 1.
Probability that the bus will be late is 0.19
Probability that the bus will be early is 0.02.
The probability that the bus will arrive early next two days is
= 0.02 * 0.02
=0.0004
The probability of coming early one day is small and the probability that it will come early two days in a row is smaller.
The probability that the bus will arrive on time next two days
= (1 - 0.02 -0.19) = 0.79
The probability that the bus will come on time is more as the probability of coming early or late is less.
To know more about Probability
https://brainly.com/question/11234923
#SPJ2
show work please thanks
Answers
Answer:
(6,15)
Step-by-step explanation:
(x,y)
x value is 6(x goes by one)
y value is 15
In a 33' by 69.7' room, what is the diagonal length from corner to corner along the floor?
Answers
Answer:
77.12 feets
Step-by-step explanation:
In a 33' by 69.7' room, what is the diagonal length from corner to corner along the floor?
Step one:
given data
Length of the room= 33 feets
width of the room = 69.7 feets
Required
The diagonal of the room
Step two:
from Pythagoras theorem
z^2= x^2+y^2
substitute
z^2= 33^2+ 69.7^2
z^2=1089+4858.09
z^2=5947.09
z=√5947.09
z=77.12 feets
Which one is greater?
Answers
Answer:
top one
Step-by-step explanation:
brainliest
Answer:
the top one is bigger. always check the digit placing and exponents!
Find the greatest possible error for the measurement.
3.5 cm
A.
0.05 cm
B.
0.25 cm
C.
1.75 cm
Answers
Answer:
A. 0.05 cm
Step-by-step explanation:
See your answer below:
You entered the following number: 3.5 cm
The greatest possible error is 0.05 cm
Greatest Possible Error Calculator
Write the answer with the correct number of significant digits. Don't use any commas in your answer. Only use a
decimal point in your answer if it is necessary to show the correct number of significant digits.
386 x 21 =