Which properties justify the steps taken to solve the system? {2a+7b=03a−5b=31 10a+35b=0; 21a−35b=217 31a = 217 a = 7 2(7)+7b=0 14 + 7b = 0 7b=−14 b=−2 what are each of the steps taken?
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Explanation:
2a+7b=0 . . . . . . . . given [eq1]
3a−5b=31 . . . . . . . .given [eq2]
10a+35b=0 . . . . . . multiplication property of equality 5×[eq1] = [eq3]
21a−35b=217 . . . . .multiplication property of equality 7×[eq2] = [eq4]
31a = 217 . . . . . . . . addition/substitution properties of equality [eq3]+[eq4]
a = 7 . . . . . . . . . . . . division property of equality (÷31)
2(7)+7b=0 . . . . . . . .substitution property of equality; a=7 in [eq1]
14 + 7b = 0 . . . . . . . properties of real numbers
7b=−14 . . . . . . . . . . addition property of equality; add -14
b=−2 . . . . . . . . . . . . division property of equality (÷7)
Giselle's as a wallet containing four $5 bills, five $10 bills and three $20 bills. She pulls out two bills, one at a time without the first bill being returned to the wallet. Find the probability that both bills that she pulls out will be $5 bills.
Answer:
the answer is 4/12
Step-by-step explanation:
Mrs. Corbett signed 1/2 of all the holiday cards and Mr. Corbett signed 3/8 of all of them. Mrs. Smith will sign the rest of them. If there were 32 cards in all, how many are left to be signed by Mrs. Smith?
Answer:
4 cards
Step-by-step explanation:
1. Approach
First, find how much ([tex]\frac{1}{2}[/tex]) of all the holiday cards is. Then find out how much [tex]\frac{3}{8}[/tex] of all the cards is. After doing so, subtract both amounts from the total number of holiday cards.
2. Find out how many were signed
To find out how much a fraction of a certain value is, multiply the fraction by the value.
[tex]32*\frac{1}{2}=16\\\\32*\frac{3}{8}=12[/tex]
3. Find out how many were left
Now subtract the number of signed cards from the total number of cards.
[tex]32 -( 16 + 12)\\\\= 32 - 16 - 12\\\\= 16 - 12\\\\= 4[/tex]
The question is in the picture
Answer:
(8, - 7)
Step-by-step explanation:
Since, (8, 7) is reflecting over x-axis, so after reflection, x- coordinate will remain same and y-coordinate changes from 7 to -7.
Therefore,
[tex] J(8,\: 7) \rightarrow J'(8,\: - 7)[/tex]
Answer:
-8,7 is the ans of the question
help????????????????????
Answer:
x=11
Step-by-step explanation:
12x+2 and 2x+112 are opposite exterior angles so they are congruent
Answer:
x=11
Step-by-step explanation:
12x + 2 and 2x + 112 are vertical angles meaning that they are equal to each other so we set up an equation that says 12x + 2 = 2x + 112 and solve for x
12x+2=2x+112
step one subtract 2 from each side
12x=2x+112
step 2 subtract 2x From each side
10x=110
step three divide each side by 10
x=11
Write the equation of the line that passes through the points (1,4) and (1,-3).
y = -7x+11
X=1
y = 7x - 3
Find the equation of the line which passes through (0,8) and (1,12)
Answer:y =4x + 8
Step-by-step explanation:
X-0/0-1 = y-8/8-12
Or,-4x = -y +8
So, y-4x = 8
Número de departamento vendidos en un edificio cualitativa o cuantitativa.
Answer:The nucleus / large central vacuole contains
genetic material of a eukaryotic cell.
Step-by-step explanation:The nucleus / large central vacuole contains
At a certain store a half gallon jug of milk cost 2.95 and a gallon jug of milk costs 5.95. Which milk has cheaper price?
Answer:
The first milk
Step-by-step explanation:
2.95 × 2 = 5.90
The first milk has cheaper price.
PROBLEM SOLVING A math club is having a bake sale. Find the area of the bake sale sign
TT IS
SWEET!
412ft
Math Club Baka Ina this Saturday
729 ft
The area of the sign is square feet.
The area of the bake sale sign is 6 ft²
Area
Area is the amount of space occupied by a two dimensional object.
Rectangle is a quadrilateral (has four sides and four angles) in which opposite sides are equal and parallel.
The area of a rectangle = length * breadth
The area of the bake sale sign = length * breadth = [tex]\sqrt{4} *\sqrt[6]{729} = 6\ ft^2[/tex]
Find out more on Area at: https://brainly.com/question/25689052
Select the correct answer.
Identify the vertex of the function graphed below.
A.
(0,-2)
B.
(3,1)
C.
(1,1)
D.
(2,2)
Answer:
I think the answer is B
Step-by-step explanation:
Answer:
think it d
Step-by-step explanation:
because when i pick (3,1) it was wrong so that why it think it D
WILL GIVE BRAINLIEST!!!!!!!
2(x+1)^2=12
Answer:
Step-by-step explanation:
The six sided of number cube are labeled 1,2,3,4,5 and 6. You flip a coin and roll the number cube. What is the theoretical probability that the coin lands on heads and roll a number greater than 2?
heads = 1/2
>2 = 2/3
2/3 x 1/2 = 1/3
Answer:
1 / 3Here is an inequality: -x > 18. List some values for x that would make this inequality true.
Answer:
some examples x could equal:
x = -19
x = -20
x = -50
x = -100
so on
Step-by-step explanation:
remember negative x negative = positive
so any negative value beneath -18 will satisfy this because it will turn positive when multiplied by that outer minus sign.
hope this helped
Whos HAPPYYYYY today
Answer:
meeeeeeeeeeee super happy
Find the midpoint of the line segment from (4,5) to (-4,4)
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Answer:
(0, 4.5)
Step-by-step explanation:
The coordinates of the midpoint of a line segment are the average of the coordinates of the end points.
((4, 5) +(-4, 4))/2 = (4-4, 5+4)/2 = (0, 9)/2 = (0, 4.5)\
The midpoint is (0, 4.5).
pls help me plssssss
Answer:
1
Step-by-step explanation:
It's the correct spelling.
Simplify.
6⁴
౼
6²
simplify that
Answer:
6⁴/4²
Since, a^m/a^n = a^m-n
→ 6^4-2
→ 6^2
→ 6*6 = 36 Ans.
Every time Kristina bakes a batch of brownies, she uses 1/8
a cup of chocolate. If she has 3/4
cup(s) of chocolate remaining, how many batches of brownies can Kristina make?
Answer:
6 batches
Step-by-step explanation:
3/4 divided by 1/8 = 6/8 divided by 1/8 = 6 batches
Can someone help me on this is for today pls!!!
Answer:
C
Step-by-step explanation:
The answer must be in square inches, not inches, so a and b are automatically wrong.
Couple of ways of doing it - the large triangles are congruent, so the area of each is the same. Since the area of a triangle is 1/2 base times height, the area of the 2 large triangles is just base times height, which is 18 * 11 or 198
Same principle for the smaller triangles at the top, area is 8 times 11, or 88. Add them up, you get 286 sq inches.
Find the value of x in the following figure.
Answer:
x = 8
Step-by-step explanation:
180-(89+57)= 180-146 = 34
(5x -6) = 34
5x = 34 + 6
5x = 40
x = 40 ÷ 5
x = 8
558 cups of water fill 412 identical water bottles. How many cups fill each bottle ?
Answer:
5/4 cups fill each bottle
Step-by-step explanation:
5 5/8=45/8
4 1/2=9/2
Step by Step:
------------------
(45/8)/(9/2)
(45/8)(2/9)
(45/4)(1/9)
45/36
5/4
Write the expanded form of the expression.
y(0.25 +5)
y(0.25 + 5) =
The expanded form of the expression y(0.25 +5) is 0.25y + 5y.
What are GCF and distributive property?The GCF of two or more than two numbers is the highest number that divides the given two numbers completely.
We also know that distributive property states a(b + c) = ab + ac.
Expanded form or Distributive properties are the same in mathematics.
Given, An expression y(0.25 + 5).
So, applying distributive property a(b + c) = ab + ac to y(0.25 + 5) we have
0.25y + 5y.
= 5.25y.
learn more about the distributive property here :
https://brainly.com/question/5637942
#SPJ2
Help If the side lengths of a cube are 16 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form?
16 ⋅ 3
16 ⋅ 16 ⋅ 16
163
316
Answer: I believe the answer is 6.3 I will research more and get a definite answer just dam me for the answer!
Step-by-step explanation:
:)
Zoltan read 15 pages of his book in 6 minutes. At this rate, how many pages can he read in 10 minutes?
Answer:
25 pages in 10 minutes.
Solve each inequality for the variable. Show your work. 3x-7>4x+2
Step-by-step explanation:
3x-4x>2+7
-x>9
x>-9
Plz mark me as a brainlist
Help me PLEASE! I will give Brainliest to the first correct answer.
Jada’s dog was 5 and 1/2 inches tall when it was a puppy. Now her dog is 14 and 1/2 inches taller than that. How tall is Jada’s dog now?
Answer:
20 inches tall
Step-by-step explanation:
First, I did 1/2+1/2=1. Then, I did 5+14=19. So, 19+1=20.
-2(6) + 3(5 – 4· 2)
Answer:
-21
Step-by-step explanation:
There are (2^6)^3• 2^0bacteria in a sample. What is the total number of bacteria in the sample?
Answer:
262,144
Step-by-step explanation:
2^0 = 1
(2^6)^3 = 2^18 = 262,144
Answer: 262,144.
Step-by-step explanation: (26)3(20)
=(643)(20)
=262144(20)
=(262144)(1)
=262144
Choose SSS, SAS, or AA to prove
the triangles are similar.
A. SSS
B. SAS
C. AA
Choose SSS, SAS, or AA to prove the triangles are similar.
A. SSS
B. SAS
C. AA
Answer :As, all sides are given so we can use SSS to prove the triangles are similar.
So, correct option is A.
Explanation :Given : Sides of 1st triangle = 24, 32 and 40Sides of 2nd triangle = 27, 36 and 45To Prove :Triangles are similarProof :As, all three sides are given so let's check ratio of all three sides.
1. [tex] \tt \cancel{\dfrac{24}{27}} = \dfrac{8}{9}[/tex]
2. [tex] \tt \cancel{\dfrac{32}{36}} = \dfrac{8}{9}[/tex]
3. [tex] \tt \cancel{\dfrac{40}{45}} = \dfrac{8}{9}[/tex]
As, all sides are in equal ratio.
So, by SSS
∆1 ~ ∆2