Answer:
Therefore, the values of "x" and "y" are -1000/312 and -115/39 respectively.
Step-by-step explanation:
★ Solution :-[tex] \sf \leadsto 8x - 7y = -5 - - - (i)[/tex]
[tex] \sf \leadsto -x + 4y = -15 - - - (ii)[/tex]
By first equation,
[tex] \sf \leadsto 8x - 7y = -5[/tex]
[tex] \sf \leadsto 8x = -5 + 7y[/tex]
[tex] \sf \leadsto x = \dfrac{-5 + 7y}{8} [/tex]
Now, we can find the original value of y.
[tex] \sf \leadsto -x + 4y = -15[/tex]
[tex] \sf \leadsto \bigg( \dfrac{-5 + 7y}{8} \bigg) + 4y = -15[/tex]
[tex] \sf \leadsto \dfrac{-5 + 7y}{8} + 4y = -15[/tex]
[tex] \sf \leadsto \dfrac{-5 + 7y + 32y}{8} = -15[/tex]
[tex] \sf \leadsto \dfrac{-5 + 39y}{8} = -15[/tex]
[tex] \sf \leadsto -5 + 39y = -15(8)[/tex]
[tex] \sf \leadsto -5 + 39y = -120[/tex]
[tex] \sf \leadsto 39y = -120 + 5[/tex]
[tex] \sf \leadsto 39y = - 115[/tex]
[tex] \sf \leadsto y = \dfrac{ - 115}{39} [/tex]
Now, we can find the original value of x.
[tex] \sf \leadsto 8x - 7y = -5[/tex]
[tex] \sf \leadsto 8x -7 \bigg( \dfrac{ - 115}{39} \bigg) = -5[/tex]
[tex] \sf \leadsto 8x + \dfrac{805}{39} = -5[/tex]
[tex] \sf \leadsto \dfrac{312x + 805}{39} = -5[/tex]
[tex] \sf \leadsto 312x + 805 = -5(39)[/tex]
[tex] \sf \leadsto 312x + 805 = -195[/tex]
[tex] \sf \leadsto 312x = -195 - 805[/tex]
[tex] \sf \leadsto 312x = -1000[/tex]
[tex] \sf \leadsto x = \dfrac{-1000}{312} [/tex]
[tex]\textsf {\underline{Answer-}}\\[/tex]
Therefore, the values of x and y are -1000/312 and -115/39 respectively.
Please please help me out
Answer:
a) A = p(1 + r)^t
b) A = 500(1 + 0.07)^2=572.45
Step-by-step explanation:
t=2 in b)
Find the area of the figure
Answer:
89 m²
Step-by-step explanation:
It should be no surprise that the area can be found as the difference between the area of the enclosing rectangle and the area of the triangular cutout.
The rectangle area is given by ...
A = LW
A = (13 m)(8 m) = 104 m²
The base width of the triangular cutout is 13 m - 4 m - 4 m = 5 m. The area of that cutout is given by ...
A = 1/2bh
A = 1/2(5 m)(6 m) = 15 m²
Then the area of the shaded figure is ...
104 m² -15 m² = 89 m²
PEMDAS Which one in the equation goes first?
Answer:
A
Step-by-step explanation:
A because the first letter in PEMDAS is P, which is parenthesis.
Answer:
The Parenthesis
Step-by-step explanation:
these ( )
50 POIINTS!!!
A coin is flipped 20 times. The results are 12 heads and 8 tails. Determine the theoretical probability of getting heads.
60%
40%
20%
50%
SOMEONE PLEASE PUT STEPS TO SOLUTION.
Answer:
What we have here is experimental probability: 12 heads out of 20 tosses. The fraction 12/20 reduces to 6/10, or 0.60, which corresponds to 60%.
which number is at point T on the number line?
Answer:
-2/3
Step-by-step explanation:
Six gallons of a salt solution consists of 35% salt. It is the result of mixing a 40% solution with a 30% solution. How many gallons of each of the solutions was used? Let x= the number of gallons of the 40% solution and y= the number of gallons of the 30% solution. The corresponding modeling system is {x+y=60.4x+0.3y=0.35(6). Solve the system by using the method of substitution.
4. A rectangular prism has a length of 5 inches and a width of 3 inches. If
the volume of the rectangular prism is 45 cubic inches, what is the height
of the prism?
Answer:
height 3 inches
Step-by-step explanation:
h = V/LW = 45/3x5 = 3 inches
Name the number that is 4 units
to the left of the number 1 on the number line.
Answer:
-3
Step-by-step explanation:
Answer:
-3 (negative three)
Step-by-step explanation:
when you move to the left you SUBTRACT
when you move to the right you ADD
So for this...
4-1
answer:
-3
Convert Standard Form to Factored Form (SHOW
ALL WORK) (LT 5.6)
j(x)=x²+7X-18
Answer:
j(x)=a(x+9)(x-2)
j(x)=1(x+9)(x-2) < final answer
Which of the following is NOT an element of impressionistic painting.
A. Photography
B. Mood
C. color
D. Perspective
Please help me answer this
Answer:
A. Photography. I couldn't say this is in mathematics but okay :)
Can u help me on this(no links)
Answer:
B. 61 1/2
Step-by-step explanation:
plss markk me blainliest
how to simplify 12
16
Answer:
3/4
Step-by-step explanation:
12/16
divide both by 4
if thats even what what you needed
What is the area, in square feet, of the deck?
Answer:
42 square feet.
Step-by-step explanation:
Katie make $63.70 babysitting for 6.5 hours how much money does she make per hour
Answer:$9.8
Step-by-step explanation:
I divided 63.70 by 6.5 and got 9.8 I checked my workers by multiplying 9.8 and 6.5 to get me with 63.70
Anyone know the answer to this question?
Answer:
[tex]c \: is \: correct \\ {( x - 7)}^{2} + {(y + 1) }^{2} = 41[/tex]
Suppose 12% of students surveyed said they have tried riding a zip line.
a. How many would say they have tried riding a zip line if 100 students were surveyed.
Answer:
12.
12% of 100= 12.
What is the area of the trapezoid below?
Answer:
Area 684 m squared
Step-by-step explanation:
26 + 46 = 72
72/2 = 36
36 x 19 = 684
Hope this helps!
If you have 8 marbles in the bag (5 blue and 3 green) and you draw 2 with replacement, what is the theoretical probability that both marbles will be green?
a.
14%
c.
23%
b.
20%
d.
39%
Answer:
d.39%
Step-by-step explanation:
Loki told me
But really, 39% should be correct
To reach her summer reading goal, Elisa has to read at least 30 books. The inequality b ≥ 30 represents the number of books she needs to read. Which of the following is the solution to this inequality?
Answer:
hii
have a good day for you!
What is the formula for circumference of a circle given the radius?
Answer:
formula for circumference of circle is 2πr
hope it helps.
Answer: 2πr
Step-by-step explanation:
Given the following table of values for f(x), find f(2).
x −1 0 1 2 3 9
f(x) 5 10 8 5 7 14
The value of the function at x = 2 will be 5.
What is a function?A function is a statement, tenet, or rule that establishes a connection between two variables. Mathematics is replete with functions, which are necessary for the construction of intricate relationships.
The result of the calculation that the mathematical model depicts is the expression's result when the necessary parameters and natural laws are given values.
The table represents a function.
x f(x)
-1 5
0 10
2 8
9 14
In the above table, we can see that at the value of x = 2 in the function the value of the whole function is 5.
More about the function link is given below.
brainly.com/question/5245372
#SPJ2
Hi good morning just need help this is just a warmup not a test or anything like that.
Answer:
75.2in = 191.008cm
Answer:
191.008cm
Step-by-step explanation:
75.2 inches =191.008cm
please help this is Due!!
Answer:
c=6d
Step-by-step explanation:
Find the product of
Convert the fraction 6/10 to a decimal.
Answer:
0.60
Step-by-step explanation:
Answer:
.60
Step-by-step explanation:
What is the area of a triangle with vertices at (–3, 3), (2, 3), and (4, 7)?
Answer:
I think the answer is 20 i hope this helped
Step-by-step explanation:
10 units.
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Which number is irrational
Answer:
the answer is ((((B))))
hope it helps❤
Answer:
B
Step-by-step explanation:
All the other choices give you rational numbers
Evaluate 2x – 5y for x = 3 and y = –9.
Answer:
-2 or 2 i cant find the hole thing
Step-by-step explanation:
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
Step-by-step explanation:
Let a=x+2 and b=x+6
The area of a rectangle is given by
A=a*b
So
[tex](x + 2) \times (x + 6) = {x}^{2} + 8x + 12[/tex]
Answer:
A = x² + 8x + 12
Step-by-step explanation:
Area of a rectangle:
A = bh
A = (x + 6)(x + 2)
A = x² + 2x + 6x + 12
A = x² + 8x + 12
PLEASE HURRYLO
giving brainliest
Rachel ran 5 miles every day last week. Her running time was as follows: 39min, 42 min, 41 min, 38 min, 39 min, 39min, 42min. What was her mean running time for 7 miles?
Answer:
mean = 39+ 42+41+38+39+39+42/7= 244