Answer:
Solution given:
A(a,b) lie in 6x-y =1
substituting value of A in equation ,we get
6a-b=1...................(1)
B(b,a) lie in 2x - 5y = 5
substituting value of B in equation ,we get
2b-5a=5
b=5(a+1)/2............(2)
substituting value of b in equation 1 ,we get
6a-5(a+1)/2=1
12a-5a-5=2
7a=2+5
a=[tex] \frac{7}{7} [/tex]=1
substituting value of a in equation 1 ,we get
6×1-b=1
6-1=b
b=5
so points are A(1,5) and B(5,1)
we have
equation of line having two points
[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1) [/tex]
[tex](y - 5) = \frac{1-5}{5-1} (x - 1) [/tex]
[tex](y - 5) = -1 (x - 1) [/tex]
y-5=1-x
x+y=6 is a required equation of line AB.
if 5article cost ed 1750 how many more arrivals can be bought with 2800
Answer:
3 more arrivals
Step-by-step explanation:
23,69,207 find the 7th term
Answer:
16,767
Step-by-step explanation:
Geometric sequence formula: an = ar^n-1
Now, we just plug in the values.
an = 23(3)^7-1
an = 23(3)^6
an = 23(729)
an = 16,767
please help with area and perimeter. please don't give downloaded answer because my computer has issues with winzip
Answer:
p = 72m
a = 228m^2
Step-by-step explanation:
p = 20 + 12 + 12 + 8 + 6 + 6 + 8 = 72
a = (20 x 12) - ( (6 x 4) / 2) = 240 - (24 / 2) = 240 - 12 = 228
A bag with 8 marbles has 8 yellow marbles. A marble is chosen from the bag at random. What is the probability that it is yellow?
Write your answer as a fraction in simplest form.
Answer: 1
Step-by-step explanation:
8 yellow / 8 total = 8/8 = 1
When dividing by a mixed number, which should you do first?
Answer: Change each mixed number to an improper fraction.
Step-by-step explanation:
A triangle has sides with lengths of 12 centimeters, 16 centimeters, and 20 centimeters. Is it a right triangle?
Answer:
yes
Step-by-step explanation:
The bases are right triangles with side lengths of 12 centimeters, 16 centimeters, and 20 centimeters.
Answer:
yes
Step-by-step explanation:
If you use the formula [tex]a^{2} +b^{2} =c^{2}[/tex] you get 20 which confirms that is a right triangle
Fred purchased a cone filled with cinnamon pieces. The cone is 7 inches tall and has a diameter of 2. How many cubic inches does the cone hold? Leave your answer in terms of pi
Answer:
V = 9.33 π m³
Step-by-step explanation:
Given: The cone is 7 inches tall and has a diameter of 2
To find: How many cubic inches the cone can hold
Formula: The formula for the volume of a cone is V = [tex]\frac{1}{3} h\pi r[/tex]².
Solution: A cone is a solid that has a circular base and a single vertex. To calculate its volume you need to multiply the base area
(area of a circle: π × r²) by height and by [tex]\frac{1}{3}[/tex]:
volume = ([tex]\frac{1}{3}[/tex]) × π × r² × h.
In terms of pi V = 9.33 π m³
Answer ASAP! Best Answer Will Be Awarded!
Answer:
B
Step-by-step explanation:
4x-8y=16
add 8y to both sides, so you get
8y+16=4x
then subtract 16 from both sides
8y=4x-16
divide by 8 on both sides
y=1/2x-2
N January, the price of a dozen eggs at a grocery store was $0.89. By June, the price had increased to $0.99. What was the percent of increase in the price, to the nearest tenth of a percent?
The initial price of eggs is $0.89 which is then increased to $0.99, so the percentage increase in the price is 11.23%.
What is Percentage?The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.
As per the given data in the question,
The price of dozen eggs = $0.89
The price increase by June = $0.99
The percentage increase in the price,
% increase = (0.99 - 0.89)/0.89 × 100
% increase = 11.2%
Therefore, the increase is 11.2%.
To know more about Percentage:
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HELP ME PLEASE!!!
Find the area of the triangle shown below.
Plsss i need help boys and girls lol FRL :)
Answer:
The answer is D.
Step-by-step explanation:
Sci-Fi + Comedy = 60.
Other + Action = 59.
So, that makes it D.
Hope this helps. :)
29 , 58 , 116 , 7th term
Answer:
The 7th term is 1856.
Step-by-step explanation:
The equation of this is n * 2 for the next of every variable. So with this knowledge,
first term = 29
Multiply by 2.
second term = 58
Multiply by 2.
third term = 116
Multiply by 2.
fourth term = 232
Multiply by 2.
fifth term = 464
Multiply by 2.
sixth term = 928
Multiply by 2.
seventh term = 1856.
Use each term from the list below once to complete each sentence
Answer:
1. coefficient
2. constant
3. variable
4. inequality
5. equation
6. two step
Step-by-step explanation:
i think this is how it is supposed to be
Your soccer team is holding a silent auction dinner as a fundraiser to pay for school uniforms. The list shows all the expenses for the silent auction.
A tablet that costs $350
Football tickets that cost $150
A gift card that cost $125
The cost of the food is $500
The members of the soccer team will be selling tickets to the silent auction. A ticket to the silent auction includes chances to win prizes and dinner. The ticket cost is set so that 45 tickets will pay for the cost of the prizes and food.
Build a function that can be used to find the total profit, f(x), the soccer team earns by selling x tickets. Show your work to build this function.
Answer:69
Step-by-step explanation:
A) $16
B) p(x) = 16x -800
C) 69 ticketsn:
A) The total of expenses is ...
$280 +100 +20 +400 = $800
If this is covered by 50 tickets, then a ticket must provide revenue of ...
$800/50 = $16
The cost per ticket is $16.
__
B) The profit is the difference between revenue and expenses. The revenue from sale of x tickets will be 16x. The expenses are fixed at 800, so the profit is ...
p(x) = 16x -800
__
C) We can find the number of tickets to sell (x) in order for profit to be at least $300 by solving the inequality ...
p(x) ≥ 300
16x -800 ≥ 300 . . . . . use the expression for p(x)
16x ≥ 1100 . . . . . . . . . add 800
x ≥ 68.75 . . . . . . . . . . divide by 16 . . . (the least satisfactory integer is 69)
In order to raise at least $300, the number of tickets sold must be at least 69.
Find the surface area of the figure below. Round your answer to the nearest hundredth if necessary.
6 in
8 in
7 in
7 in
8 in
292 in
Oь
347 in
236 in?
Od
391 in
Answer:
The surface area of the shape is 292 in^2
Step-by-step explanation:
Here, we want to find the surface area of the cuboidal shape
Mathematically, the area of a cuboid can be calculated using the formula;
A = 2(lb + lh + bh)
where l is the length which is 7 inches
b is the breadth which is 6 cm
h is the height which is 8 cm
Substituting these values, we have
A = 2((8 * 6) + (7 * 6) + (8 * 7))
A = 2(56 + 42 + 48)
A = 2 * 146
A = 292 in^2
"La suma de la medida de los ángulos interiores de cualquier triángulo, es igual a dos triángulos rectos, o sea a 180°."
Answer:
Efectivamente, la suma de la medida de los ángulos internos de cualquier figura triangular es igual a 180º. Ahora bien, la oración posee un error de redacción, pues tanto los triángulos rectos como los equiláteros o los isósceles poseen dicha característica, es decir, no es únicamente una característica de los triángulos rectos. Además, la suma de los ángulos interiores de dos triángulos rectos sería igual a 360º, no a 180º.
Vienna bought 8 yards of fabric and paid $35.60. How many more
yards can she purchase with $20?
(The paper this is one is due tmr. Help)
Answer:
4.49 more yards
Step-by-step explanation:
Given data
If 8 yards of fabric cost $35.60
then let x yards cost $20
cross multiply
35.60*x= 20*8
35.60*x= 160
x= 160/35.60
x= $4.49
Hence the $20 will purchase 4.49 more yards
Use this data to answer the questions below:
2, 4, 7, 8, 9, 12, 13
What is the range of the data?
What is the second quartile Q2 (or what is the median)?
What is the interquartile range? (Q1-Q3)
Answer: The Range is 11
The Q2 is 8
The Interquartile range is 8
a basket contains 6 white socks 4 blue socks and 2 black socks
what is the probability of choosing one blue sock and then a white socks with replacement
Answer:
Tha answers is
1/6
Step-by-step explanation:
Hope this help
here’s the
question to my last
post :)
anyways
1 Pint 4 Fluid Ounces!
I'm literal trash at math please help :) if you can help me with all 3 that'd be great.
Answer:
1. C 3.D 4.D
Step-by-step explanation:
1. The chances of getting a white marble is 3/9 so the chances of not drawing it is 6/9
3. The theoretical probability is 10/50. The experimental probably turned out to be 8/50. So the theoretical probability is bigger meaning its D.
4. 18/24 is 75%, 75% of 300 is 225
Help me with the question also explain the work. If you can send a picture of what you did that would be also helpful. thx ;)
answer: x = -7/4
12 = -4x +5
Subtract 5 from both sides.
7 = -4x
Divide both sides by -4.
-7/4 = x
Flip if you want.
x = -7/4
:)
Answer:
-43
Step-by-step explanation:
Mr levels gave 5 tests the test scores were 200,225,215,199 and 225, what is the mean median and mode of the tests that mr levels gave?
Answer:
median is 215
mode is 225
mean is 212.8
Step-by-step explanation:
Im pretty sure
Solve the inequality for x.
-15 + x ≤ - 13
Simplify your answer as much as possible.
Find the length of each arc. Round your answer to the nearest tenth.
Answer:
give the full questions please
Some candy bars are on a plate. Each candy bar is the same size. Nine friends are going to share the candy bars equally. Each friend gets one-half a candy bar. How many candy bars are on the plate? Between what two whole numbers does the amount of candy bars shared lie? Show all your mathematical thinking.
Step-by-step explanation:
How many candy bars are on the plate?
1 and a half multiplied by 9 = 13 and a half
There are 13 and a half/13.5 candy bars are on the plate.
Between what two whole numbers does the amount of candy bars shared lie?
13.5 lies between 13 and 14.
Hope it helps!!!!
What is the volume of the right rectangular prism shown?
A)
96 cm3
B) 128 cm3
C) 512 cm3
D) 1,536 cm3
Please help me I do not understand this lolll
Answer:
I do not understand this either lolll lolll
but I guess eq 1 = D
EQ 2 = B
EQ 3 = A
EQ 4= C
Solve For x Help pleaassee
Answer:
x=4
Step-by-step explanation:
C+E=180
14x-8+132=180
14x=180-132+8
14x=56
x=4
Answer:
10°
Step-by-step explanation:
132° = (14x - 8)°
140° = 14x
× = 10°
The diagram shows the dimensions of Mr. Green's garden. A bag of fertilizer costs $3 and covers an area of about 50 square feet. What will be the cost for Mr. Green to fertilize his garden?
Answer:
just multiply the numbers
Answer:
The area of his garden is
✔ 84 ft
2. Mr. Green will need
✔ 2 bags of fertilizer.
The cost will be $
✔ 6
