Solve using elimination
-3x+9y=12
2x-8y=-16
Answer:
x=8 y=4
Step-by-step explanation:
eliminate x: make x of two equation equal to each other
2(-3x+9y=12) : -6x+18y=24 ___[1]
-3(2x-8y=-16) : -6x+24y=48 ___[2]
[2]-[1]= 6y=24
y=4substitute y to any equation;
2x-8y=-16
2x-8(4)= -16
2x= -16+32
2x= 16
x=8Answer:
x=14 and y=6
Step-by-step explanation:
-3x+9y=12.............(i)×2
2x-8y=-16..............(ii)×3
Multiplying equation (i) by 2 and equation (ii) by 3 and adding (i) and (ii)
-6x+18y=12
6x-24y=-48
-----------------
0-6y=-36
or, -6y=-36
So,y=6
From (i)
-3x+9y=12
or,-3x+9×6=12
or,-3x+54=12
or,-3x=12-54
or,-3x=-42
So,x=14
28. Ashton is hosting a banquet. He plans to spend $400, plus/minus $50, at a
cost of $25 per guest,
a. Find the maximum and minimum number of guests.
b. If there can be up to 7 guests per table, what is the minimum number of
tables Ashton should reserve so everyone has a seat?
Answer:
If he can spend $400 +- $50 ($350 or $450) the maximum number of guests at $25 each is 18 and the minimum is 14. If there can be up to 7 guests, he should prepare to have at least 3 tables to ensure everyone gets a seat if he goes with the $450 option.
Step-by-step explanation:
Please mark Brainliest if this helped :)
Division is one of the four fundamental arithmetic operations. The minimum number of tables Ashton should reserve so everyone has a seat is 2.
What is Division?The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that Ashton's budget is $400±50. Therefore, the maximum and the minimum budget that Ashton can spend on the banquet are,
Maximum budget = $400 + $50 = $450
Minimum budget = $400 - $50 = $350
A.) Now, the maximum guest will cost the maximum budget, therefore, we can write
Maximum guest = Maximum budget / Budget per guest
= $450 / $25
= 18
Minimum guest = Minimum budget / Budget per guest
= $350 / $25
= 14
B.) Since the minimum number of guests that can come to the banquet is 14, and only 7 people can seat at a table, therefore, the minimum number of tables Ashton should reserve so everyone has a seat is 2.
Learn more about Division here:
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TE
The temperature was 4 degrees at midday
Atte
1M
By evening, the temperature was - 6 degrees.
Select all of the calculations below that show how to figure out the
temperature change.
se-
0 4-6
4+ (-6)
(-6) - 4
C (-6) + 4
+6+ (-4)
Answer:
answer is 3 option I believe
Solve for c. b/c = a
Answer:
c = b/a
Step-by-step explanation:
Multiply both sides by c to get b = ac then divide both sides by a to get b/a = c
PLEASE show all work!!!!
12. What is the area of a parallelogram with height 26 cm, base 16 cm, and side length 28 cm?
Step-by-step explanation:
Area of a parallelogram = Base × Height
=16 cm × 26 cm
=416 cm²
If x=1/3 y, show y=135°. Supplementary angle
Answer:
see explanation
Step-by-step explanation:
Supplementary angles sum to 180° , then
x + y = 180 , that is
[tex]\frac{1}{3}[/tex] y + y = 180 ( multiply through by 3 to clear the fraction )
y + 3y = 540
4y = 540 ( divide both sides by 4 )
y = 135°
the dance club is selling tickets to the next showcase adult tickets cost $5 and children's tickets cost $2 they sell twice as many adult tickets as children's tickets and it seemed made $700 total write an equation to represent the total ticket sales
Hey there! I'm happy to help!
Let's have the adult tickets be a and the children tickets be c.
a=2c (twice as many adult tickets as child tickets)
5a+2c=700 (dollar value of each ticket)
Have a wonderful day! I hope that the helps! :D
Answer this please ASAP
ans:- 144 inches squared
ur welcome..
Answer:
144
Step-by-step explanation:
12*12=144
squares have all the same sized sides.
(-87-12÷3×4) + (37-29) ×4
Answer:
103
Explanation:
Follow BODMAS
BODMAS stands for bracket of division multiplication addition and subtraction.
( 87 - 12 / 3 * 4 ) + ( 37 - 29 ) * 4
( 87 - 4 * 4 ) + ( 8 ) * 4
( 87 - 16 ) + 32
71 + 32
==> 103
The odds against Jim beating a friend at golf are 7:2. Find the probability that Jim will win.
Answer:
if the probability is 7:2, then there are 9 possible outcomes
so do 7 divided by 9 and Jim has a 77% chance of winning
Probability helps us to know the chances of an event occurring. The probability that Jim will win is 22.22%.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Given that the odds against Jim beating a friend at golf are 7:2. Therefore, the ratio of the number of games that Jim's friend wins to the number of games that Jim wins is,
Number of games Jim's friend wins/ Number of games Jim wins = 7/2
Now, the total of games they both play will be 9, which is the sum of 7 and 2. Therefore, the probability that Jim will win is,
Probability (Jim wins) = Number of games Jim wins / Total number of games
= 2 / 9
= 22.22%
Hence, the probability that Jim will win is 22.22%.
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Which rule describes the relationship between the input and output pairs in the following table?
Input
Output
10
5
8
3
6
1
Choose 1 answer:
اے
Subtract 5 from the input to get the output.
в)
Multiply the input by 0. Then add 5 to the result to get the output.
Divide the input by 2. Then subtract 1 from the result to get the output.
Answer:
Subtract 5 from input.
Step-by-step explanation:
10-5=5
8-5=3
6-5=1
Note:if you need to ask question let me know about it.
one ball is to be chosen from a box containing red, blue, and green balls. If the probabilitythat
the chosen ball is red 1/5 and the probability that it is blue is 1/3, what is the probability that it
is green?
Answer:
1/4 I think is that answer
is the function in the graph non-linear?
Answer:
yeah, because it doesnt have a constant rate of change - if it did, then it would be linear
Step-by-step explanation:
2. The cost of a badger is b pence. A raccoon is 5 pence more expensive than a badger and a beaver three times as expensive as a badger.
a) What is the cost of a raccoon?
b) What is the cost of the beaver?
c) What is the total cost of a raccoon and 8 beavers?
(plz write down a step-by-step explanation)
Answer:
Step-by-step explanation:
A
A raccoon is 5 more pence than a badger.
r = b + 5
B
Let the beaver's price be be.
be = 3*b
C
Total = 5 + b + 8*be
Total = 5+b + 8*3*b
Total = 5 +b + 24b
Total = 25 b + 5
Answer:
a) What is the cost of a raccoon?
b+5
b) What is the cost of the beaver?
b x 3
c) What is the total cost of a raccoon and 8 beavers?
raccoon = b+5
8 beavers = b x 24 (since every beaver is "x3", you do 3x8 beavers)
Step-by-step explanation:
badger = b pence
raccoon = b+5 pence (since it's 5 pence more expensive)
beaver = bx3 (x3 more expensive than a badger.)
I don't know how much "b" is so just fill in the blank.
in a marble collection 1/8 of marbles of the blue marbles 1/2 have sparkels what fraticon of marbles in the collection are blue with sparkels
What is the slope of the line represented
Hi
the slope is the part before. " X"
dont forget the sign !
have fun !
can anyone help me please? 63 over 7-2x3
Answer:
Below,...
Step-by-step explanation:
Your equation:
[tex]\frac{63}{7-(2*3)} =\frac{63}{7-6} =\frac{63}{1}=63[/tex]
Hope it helps,... Chow,...!
6+3x=7-x. pls solve and i will mark you brainliest
⇛6 + 3x = 7 - x
⇛3x + x = 7 - 6
⇛4x = 1
⇛x = 1/4
Answer:
x=0.25 or 1/4
Step-by-step explanation:
Triangle ABC translates to triangle ABC describe the translation in terms of X and Y Directions
Answer:
(x + 6, y - 6).
Step-by-step explanation:
6 units to the right and 6 units down =
(x + 6, y - 6).
Please help me with this, thank you.
Hi ;-)
[tex]\frac{2xy}{5ac}:\frac{4xy^2}{15a^2c}=\frac{2xy}{5ac}\cdot\frac{15a^2c}{4xy^2}=\frac{3a}{2y}\\\\Answer: \ \text{D}[/tex]
Answer:
[tex]{ \underline{ \sf{D. \: \: \frac{3a}{2y} }}}[/tex]
Step-by-step explanation:
[tex]{ \sf{ \frac{2xy}{5ac} \div \frac{ {4xy}^{2} }{15 {a}^{2} c} }}[/tex]
find the reciprocal :
[tex]{ \sf{ = \frac{2xy}{5ac} \times \frac{15 {a}^{2}c }{4 {xy}^{2} } }} \\ \\ = { \sf{( \frac{2xy}{4 {xy}^{2} }) \times ( \frac{15 {a}^{2}c }{5ac} ) }} \\ \\ = { \sf{ \frac{1}{2y} \times 3a}} \\ \\ = { \sf{ \frac{3a}{2y} }}[/tex]
Por favor me ayudan
Doy coronita
Answer: 4
Step-by-step explanation:
Sqrt x + 3 = 25 : 5
Sqrt x = 5-3
(Sqrt x)^2 = 2^2
X = 4
simplify (x+3)^2 -3 (2x+3)
Answer:
x^2.
Step-by-step explanation:
(x+3)^2 -3 (2x+3)
= (x + 3)(x + 3) - 3(2x + 3)
= x^2 + 3x + 3x + 9 - 6x - 9
= x^2 + 6x + 9 - 6x - 9
= x^2 + 6x - 6x + 9 - 9 Simplify like terms:
= x^2.
Estimate the quotient using compatible numbers.
2,252 ÷ 7
Choices: 300, 30, 40, 400
Answer:
300
Step-by-step explanation:
2252÷7≈2250÷7
≈300
82.45 × 10a = 82,450, when a =
Answer:
a=100 hope it may help u
Step-by-step explanation:
82.45×10a=82450
824.5a=82450
a=824500/8245
a=100
1. the the sum of certain number and 63 is 88. what is the number?
Answer:
25 (88-63=25)
Step-by-step explanation:
As I write this Reiner is standing at my side. He knows this is a love letter but he’s still sneaking glances. Honestly it’s no wonder the creep is still single.
That said, he did give me his word that he’d deliver this letter to you. He says he owes me for the time I doubled back to save him.
I’m sorry about that. I never would have imagined myself choosing those two over you.
I’m gonna die soon,
but I’ll die without regrets.
Or that’s what I’d like to say.
Truth is, I do have one.
It's that I never got to marry you...
With love, Ymir.
just subtract them
88 - 63 = 25
thus, the number would be 25
hope this helps :)
Find the coordinate of the midpoint of the segment with the given endpoints.
- 2 and 13
The midpoint is ____
(Simplify your answer.)
Answer:
5.5
Step-by-step explanation:
13-(-2) = 15
15 / 2 = 7.5
-2 + 7.5 = 5.5
what is the value of 45c+28d when c=-5 and d=2
45×(-5) + 28×2
-225 + 56
Ans -169
Find the perimeter of a triangle DEF with vertices D (3,2), E (4,2), F (3,-2)
Round the answer to the nearest hundredth please ASAP!!!
Answer:
8.4
Perimeter=a+b+c
3.2+4.2+3.-2
= 8.4
The perimeter of the triangle will be 5 + √17.
What is the perimeter of the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees. The sum of all the sides of the triangle will be known as the perimeter of the triangle.
A triangle DEF with vertices D (3,2), E (4,2), and F (3,-2).
Distance between DE will be
DE² = (4 - 3)² + (2 - 2)²
DE² = 1
DE = 1
Distance between EF will be
EF² = (3 - 4)² + (-2 - 2)²
EF² = 1 + 16
EF = √17
Distance between DF will be
DF² = (3 - 3)² + (-2 - 2)²
DF² = 16
DF = 4
Then the perimeter of the triangle will be
P = DE + EF + DF
P = 1 + √17 + 4
P = 5 + √17
The perimeter of the triangle will be 5 + √17.
More about the perimeter of the triangle link is given below.
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find the value of x
a. 10
b. 6
c. 35
d. 21
explain please
Answer:
x = 10
Step-by-step explanation:
Assuming that the triangles are similar we can use ratios to solve for x.
x / 6 = 35 / 21
Using cross products we acquire,
35 * 6 = 210
21 * x = 21x
21x = 210
Divide both sides by 21
21x/21=x
210/21=10
x = 10
find the cube root of 27000
Answer:
may be 30 is the cube root of 27000
Step-by-step explanation:
just do a claculation