Answer:
6 ft
Step-by-step explanation:
Multiply by 2 on each side: (8*2) = (3*2)
New ratio: 16 = 6
Final answer: 6ft
Which statement explains why 13x−13y=−26 shares a solution with this system of equations:
10x−3y=29
−3x+10y=55
The given equation is derivable from the system of equations.
Response:
The reason why 13·x - 13·y shares a solution with the given system of equation is because -13·x - 13·y equals 55. I can subtract -3·x + 10 from the left side of 10·x - 3·y = 29, and subtract 55 from its right side. Subtracting equivalent expressions from each side of an equation does not change the solution of the equation.Method by which the relationship between the equations was determinedGiven:
The system of equation is presented as follows;
[tex]\begin{cases} \mathbf{10 \cdot x - 3 \cdot y} = 29...(1) & \text{ } \\ \mathbf{-3 \cdot x + 10 \cdot y} = 55...(2) & \text{ } \end{cases}\\[/tex]
Therefore, by subtracting equation (2) from equation (1), we have;
(10·x - 3·y) - (-3·x + 10·y) = 29 - 55 by subtracting equivalent expressions
13·x - 13·y = 29 - 55 = -26
13·x - 13·y = -26, which is the given equation
Given that the operation performed on equation (1) and (2) is the
subtraction of equivalent expressions, we have, that the solution for the
given equation, 13·x - 13·y = -26 is the same as the solution for given
system of equations.
The reason why 13·x - 13·y = -26 shares a solution with the system of equations based from the given options in a similar question is therefore;
D. because -3·x + 10·y is equal to 55, I can subtract -3·x + 10·y from the left side of 10·x - 3·y = 29 and subtract 55 from its right side. Subtracting equivalent expressions from each side of an equation does not change the solution to the equationLearn more about simultaneous equations here:
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A line is 4.5” long is divided into 6 equal parts. How long is each part?
Answer:
0.75"
Step-by-step explanation:
4.5÷6
please mark me brainliest
The equation for the circle below is 2 + y2 = 64. What is the length of the
circle's radius?
O A. 2
8 d
Ο Ο
B. 64
C. 8
O Ο Ο
D. 9
E-1
OF 25
what adds up to -38 but multiplies to -168
Answer:
-42 x 4
Step-by-step explanation:
it multiplies to -168 and adds up to -38
The three paths intersect in pairs at the points A, B, and C.
Answer:
Not a complete question... Sorry
1) Convert 0.469 dam to cm.
Two numbers have a sum of 24
and a product of 143. What is the
smaller number?
Answer:
The smaller number is 11.
Step-by-step explanation:
11 + 13 = 24
11 x 13 = 143
Hope this helps!
A parking garage has 6 levels below ground. Each level is the same height.
Consider ground level to be 0. The depth of the the sixth level of the parking garage is −135.6 ft.
What is the depth of the first level of the parking garage?
Answer:
22.6
Step-by-step explanation:
Level of one ground = Level of last ground ÷ no of levels
- 135.6 \div 6 = 22.6−135.6÷6=22.6
What is the sum of the of the infinite geometric series 0.7+0.07+0.007+...?
Answer:
a
Step-by-step explanation:
hope it works out for you
please mark brainiest
solve inequality (i need gelo with this )
Answer:
Interval Notation : ( -3, ∞)
Step-by-step explanation:
graph:
Choose a factor pair of 36.Show how this factor pair can be found in the prime factorization of 36
Answer:
2*2*3*3
Step-by-step explanation:
https://math.answers.com/Q/How_can_you_use_prime...
$56 for 25 gallons or $30.05 for 15 gallons
um what do you mean by that?
PLEASE HELP ME ITS ALGEBRA THANK YOUUUU
Answer:
8 nights
Step-by-step explanation:
First, you have to find out how many centimeters she knits per night and that can be found by dividing 42 by 6
You get 7, and then you find out how many times 7 must be repeated to make 56
Therefore you get 8 nights
Unit form of 13/5 divided by 4/5l
Answer:
663/20
Step-by-step explanation:
if you want simplist form its 33 3/20 or decimal its 33.15
a little mermaid can't swim 12 miles downstream in the same amount of time she can swim 8 miles upstream. What is the little mermaid speed's in still water if the speed of the current is 4mph
A little mermaid can't swim 12 miles downstream in the same amount of time she can swim 8 miles upstream. The little mermaid speed's in still water is: 4/5 mile per hour.
The distance of the miles can be estimated by using the formula:
distance = speed rate × time
∴
[tex]\mathbf{time = \dfrac{distance}{ rate}}[/tex]
Let the current speed be = x
In the upstream direction;
the rate = swim speed - the current speed = 4 - xin the downstream direction;
the rate = 4 + x∴
[tex]\mathbf{t = \dfrac{8}{4 -x}= \dfrac{12}{4+x}}[/tex]
By cross multiply;
8 (4 + x) = 12 (4 - x)
32 + 8x = 48 - 12x
8x + 12x = 48 - 32
20x = 16
x = 16/20
x = 4/5 mile per hour
Therefore, we can conclude that the little mermaid speed's in still water is 4/5 miles per hour.
Learn more about speed here:
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Fill in the blanks. Use lower case.
Statements Reasons
1. ∠1 ≅ ∠2, ℓ ⊥ n 1.
2. ǁ n 2. converse of alternate interior angles theorem
3. ℓ ⊥ p 3. transversal theorem
Mathematical proofs are used to determine if a conjecture or statement is true, or otherwise.
The blanks will be filled with the following texts
Given[tex]\mathbf{\angle 1 \cong \angle 2}[/tex]ProvedFrom the question, the following parameters are given:
[tex]\mathbf{\angle 1 \cong \angle 2}[/tex] and [tex]\mathbf{l \perp 1}[/tex]
This means that, the first blank will be completed with given.
By converse of alternate interior angles theorem
[tex]\mathbf{\angle 1 \cong \angle 2}[/tex] --- angle 1 and angle 2 are congruent
So, the second blank will be completed with [tex]\mathbf{\angle 1 \cong \angle 2}[/tex]
The above statement means that:
[tex]\mathbf{l \perp 1}[/tex] has been proved
Hence, the last blank will be completed with proved.
Read more about mathematical proofs at:
https://brainly.com/question/2010495
A 12.5-gallon gasoline tank is 1/8 full. How many gallons will it take to fill the tank?
Answer:
10.9375 galStep-by-step explanation:
Volume of the tank = 12.5 galFull = 1/8 of the tankEmpty = 1 - 1/8 = 7/8 of the tankVolume to fill the empty part:
12.5*7/8 = 12.5 * 0.875 = 10.9375 galWrite an equation of the line that passes through the point (3,3) and is parallel to the line y= -1/2 + 3
Step-by-step explanation:
the slope = -½
the equation :
y-3 = -½(x-3)
y-3 = -½x + 3/2
y = -½x + 3/2 +3
y = -½x + 9/2
What is the quotient?
-2 1/8 divided by 1 1/4
Enter your answer as a mixed number, in simplified form.
Answer:
-1.7 or 1 7/10
Step-by-step explanation:
Conversion a mixed number to a improper fraction: 2 1/8 = 2 · 8 + 1
8
= 17
8
Unary minus: -17
8
Conversion a mixed number to a improper fraction: 1 1/4 = 1 · 4 + 1
4
= 5
4
Divide: -17
8
: 5
4
= -17
8
· 4
5
= -17 · 4
8 · 5
= -68
40
= -17
10
To divide one fraction by another, invert the second fraction, then multiply.
help meeee again ¾÷⅕ =
Answer:
decimal: 2.25
fraction: 9/4
Step-by-step explanation:
Answer:
Fraction: 15/4
Decimal: 3.75
Please help please help please help please help
9514 1404 393
Answer:
(c) factoring and the zero-product principle
Step-by-step explanation:
Factoring is always an efficient method of solving a quadratic, if it has nice integer factors that can be easily identified. Here, the two prime factors of 35 have a sum of 12, so the factored form is easily found to be ...
(x +5)(x +7) = 0
This basically shows you the solutions are x=-5 and x=-7 "by inspection" in one step.
By contrast, the quadratic formula has 4 multiplications, a division, a square root, and 3 additions. That's a significant amount of arithmetic to get to the answers.
Factoring is the most efficient way to solve this quadratic.
0.43
decimal place(s)
X 0.2
decimal place(s)
0.086
decimal place(s)
Room A is 16x15x10. Room B is 12x12x8. Paint is $0.46 per square foot. How much will it cost to paint?
Answer:
Step-by-step explanation:
1633.92 toghether
Tom must choose a number between 49 and 95 that is a multiple of 4, 7, and 14. Write all the numbers that he could
choose. If there is more than one number, separate them with commas.
Answer:
56;70;84
Step-by-step explanation:
5.1 km/h to mph. Round to the appropriate number of significant digits.
Step-by-step explanation:
Given-
5.1 km/hr
Relation bween mph and km :-
[tex]1 \: mph = 1.609 \: km[/tex]
So,
[tex] \frac{5.1 \: km}{1 \: h} \times \frac{1 \: km}{1.609} = 3.17 \: mph[/tex]
Therefore, the answer is 3.17 mph.
In a hand of cards, the ratio of black cards to red cards was 5 to 3. If the hand contained 15
black cards, which of the following proportions could be solved to find the number of red
cards?
Answer:
5:3 = 15:x
the answer would be 15 black cards to 9 red cards
Step-by-step explanation:
The amount of time needed to complete a job, t, varies inversely with the number of workers, w. If 11 workers can complete a job in 36 minutes, how many minutes would it take 6 workers?
You have a bag containing 3 red, 7 green, and 6 blue pens. you choose 2 pens at random. find the probability of picking a red and blue pen with replacing.
Answer:9/16
Step-by-
its 9/16 because in total there 16 pens so the the probabillty of getting a red and blue pen is combined the amount there is and you put the total number of pens as the denominator
I will mark brainlist please help!!
- dilation (lesson)
1) in a dilation of a figure, the distance between two consecutive vertices does not change
• true
• false
2) the coordinates of the vertices of a triangle JKL are J (4,8) K (8,8) L (4,2). Find the coordinates of the vertices of the image after a dilation by K = 0.25
• J (2,1) K (2,2) L (1,2)
• J (-2,1) K (4,2) L (1,0.5)
• J (1,2) K (2,2) L (1,0.5)
Y=5x-13
Y-intercept
X-intercept
Answer: The internet solve it for me.
Step-by-step explanation: To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.