solve the system of linear equations by substitution x=17-4y y=x-2
Answers
9514 1404 393
Answer:
(x, y) = (5, 3)
Step-by-step explanation:
We can use the second equation to substitute for y in the first.
x = 17 -4(x -2)
5x = 25 . . . . . . . . eliminate parentheses, add 4x
x = 5
y = 5 -2 = 3
The solution is (x, y) = (5, 3).
Related Questions
Does anyone know the answer
Answers
Answer:
d = 126, z = 28
Step-by-step explanation:
The angle with the variable is diagonal from the 105 degree angle. In this case, that means that they are equivalent. So, 105+21 = 126. d = 126 :)
In London today, twice the low temperature was less than three times
the low temperature minus ten. In interval form, what are the possible
temperatures?
Answers
Budgeting and you MI-Economics assignment question. Now, summarize what you have learned. Write a paragraph that explains the most important principles to keep in mind when creating a budget. Describe at least three important principles in your answer.
Answers
Answer:
It all starts by setting clear goals. You need to know what you want to accomplish in the short term and the long term. Then, you can examine your goals to find your needs and wants. You can accomplish these needs and wants by categorizing your expenses into fixed and variable categories. By keeping all of these principles in mind, you will be able to balance your budget. This will allow you to save money while also spending enough to meet your goals.
Step-by-step explanation:
Answer:
Sample Response: It all starts by setting clear goals. You need to know what you want to accomplish in the short term and the long term. Then, you can examine your goals to find your needs and wants. You can accomplish these needs and wants by categorizing your expenses into fixed and variable categories. By keeping all of these principles in mind, you will be able to balance your budget. This will allow you to save money while also spending enough to meet your goals.
Step-by-step explanation:
edg 2022
Use the shapes to answer the questions that follow:
Answers
Answer:
50%
Step-by-step explanation:
Theres 10 shapes and 5 of them are yellow. So that is 5/10 which equals 50%
hope this helps <3
Answer:
50%
Step-by-step explanation:
5/10 are yellow so 5% I think
Samantha is playing a game with the spinner shown below. If she spins te spinner 24 times, how many times is the spinner likely to land on 1?
A. 8 times
B. 16 times
C. 12 times
D. 4 times
Answers
Answer:
Step-by-step explanation:
i need help with 1 and 3 the slope is 3/4
Answers
Answer:
3y
Step-by-step explanation:
Answer:
y intercept is 4
the equation is y= 3/4 + 4
Slope intercept equation y=mx+b
Please help I’m stuck
Answers
Answer:
On wat
Step-by-step explanation:
Answer: 2 Don't know
Step-by-step explanation:
please helpppppp this is due in about 20 mins!!
Answers
A rectangle has an area of 99 square in. What is the length of the long side?
Answers
Answer:
The longer length is either 99, 33 or 11 inches
Step-by-step explanation:
Given
[tex]Area = 99[/tex]
Required
The length of the longer side
Area of a rectangle is:
[tex]Area = Length * Width[/tex]
List out all possible products that give 99 [Assume the dimension are whole numbers]
[tex]Length * Width = 99 * 1 = 99[/tex]
[tex]Length * Width = 33 * 3 = 99[/tex]
[tex]Length * Width = 11 * 9 = 99[/tex]
List out the longer factors
[tex]L = \{99, 33, 11\}[/tex]
Hence, the longer length is either 99, 33 or 11 inches
25) Margie needs to borrow $9,000 from a local bank. The
loan has a 8.5% interest rate for 4 years. What will
Margie's monthly payment be?
A) $ 221,850.00
B) $3060.00
C) $250.0
D) $ 221.85
Answers
Answer:
B) $3060.00
Step-by-step explanation:
8.5% of 9,000 equals 765, then 765 multiplied by 4 equals 3060.
I think that it will take Margie 4 years to pay back the bank. And the interest rate that the bank charges is 8.5% per month.
I'm not sure if this is correct
Which of the following irrational numbers will result in a rational number when squared? Put a check mark next to all correct answers.
Answers
Answer:
The square root of 7 and the square root of 2
Step-by-step explanation:
the question is on the image
Answers
ans]=71
x-10=61
x=61+10
x=71
Find the term named in the problem geometric sequence and series
1). -3,-6,-12,-24 find a10
2). -2,6,-18,54 find a12
Answers
Answer: See explanation
Step-by-step explanation:
The nth term of a geometric progression is calculated by:
= ar^n-1
1). -3,-6,-12,-24 find a10
a = first term = -3
r = common ratio = -6/-3 = 2
n = 10
Using the formula
a10 = ar^n-1
a10 = -3 × 2^10-1
a10 = -3 × 2^9
a10 = -3 × 512
a10 = -1536
2). -2,6,-18,54 find a12
a = first term = -2
r = common ratio = 6/-2 = -3
n = 12
Using the formula
ar^n-1
a12 = -2 × -3^12-1
a12 = -2 × -3^11
a12 = -2 × -177147
a12 = 354294
Find the area of the shaded figure in the diagram below. Use 3.14 for π and round your answer to the nearest hundredth.
A. 39.57in^2
B. 66.89 in^2
C. 200.67 in^2
D. 118.72 in^2
Answers
Answer:
D
Step-by-step explanation:
diameter of 1 circle = 21.3/3= 7.1
radius of 1 circle= 7.1/3=3.55
area of 1 circle =πr^2=3.14× (3.55)^2=39.57
area of 3 circle= 39.57×3=118.72
therefore,area of shaded portion= area of 3 circle =118.72
Which of the following values is NOT a solution to |4x - 6| - 12 > 8?
A. 10
B. 7
C. 4
D. -5
Answers
Answer:
Option C
Step-by-step explanation:
Given :-
| 4x -6| -12>8Options :
1074-5We can check the options , as ,
[tex]:\implies[/tex] Option 1 : 10
| 4*10-6|-6>8| 40 - 6| - 6 > 8| 34 | - 6 > 834 - 6 > 8 28 > 8 ( a solution )[tex]:\implies[/tex] Option C : 4
| 4*4 -6 | -6 > 8| 16 - 6 | - 6 > 8| 10| - 6 > 810 - 6 > 84 > 8 ( not a solⁿ )Hence option C is not a solution .
Ashley was given the following problem and she drew a bar diagram to help her solve the problem.
Julie is 5 years younger than her sister, Molly. The sum of their ages is 37. How old is each sister?
Identify the error that Ashley made in creating her diagram and explain to her how to fix it.
Answers
Answer:
Julie is 16 years old and Molly is 21 years old.
Step-by-step explanation:
Given that Julie is 5 years younger than her sister, Molly, and the sum of their ages is 37, to determine how old is each sister the following calculation must be performed:
(37 - 5) / 2 = X
32/2 = X
16 = X
(16 + 5) + 16 = X
21 + 16 = X
37 = X
Therefore, Julie is 16 years old and Molly is 21 years old.
Is there a pattern behind prime numbers?
Answers
Answer:
There is a rule on how we find prime numbers.
Step-by-step explanation:
A clear rule determines exactly what makes a prime: it's a whole number that can't be exactly divided by anything except 1 and itself. But there's no discernible pattern in the occurrence of the primes.That's because, after the number 5, there are only four possibilities — 1, 3, 7, and 9 — for prime last digits
A music store sells both electric and
acoustic guitars. One month, the store
sold 12 electric guitars. If that was 60%
of their sales for the month, how many
guitars did they sell that month in all?
Answers
Answer:
sorry :/ im not sureee but they would have sold 20
Step-by-step explanation:
They sold 20 guitars that month.
Step-by-step explanation:
[tex] \frac{12 \times 100}{60} = total[/tex]
[tex] \frac{1200}{60} = 20[/tex]
Use the figure to find the measures.
Lateral area =
Total area =
Volume =
Answers
Answer:
Lateral area = 2.pi.r.h = 2 x pi x 2 x 3 = 12 pi
Total area = lateral area + pi. r^2 . 2 = 20 pi
Volume = pi . r^2 . 2 . h = 24 pi
total area= 62.83
volume= 37.7
If the scale of the map is 1 inch = 125 miles, two points that are 3.75 inches apart will actually be approximately how many miles away from each other? 292 375 469 1,125
Answers
Answer:
469 miles
Step-by-step explanation:
1 in = 125 miles
3.75 in =?
3.75 x 125 = 468.75 miles
468.75 rounds up to 469 miles
5.
Multiply.
(3x + 2)(x - 3)
Answers
Answer: 3x^2 - 7x - 6
Step-by-step explanation:
Answer:
3x^2-7x-6
Step-by-step explanation:
(3x+2)(x-3)
3x^2-9x+2x-6
3x^2-7x-6
Hope this helps.
A pet store sold 274 cans of cat food last weekend for a total of $216.46. What was the price per can?
Answers
Answer:
Compare them ➗That's the answer
When Elijah left his house in the morning, his cell phone battery was partially
charged. The charge remaining in Elijah's battery, as a percentage, can be modeled by
the equation B = 27 – 4.5t, where t is the number of hours since Elijah left his
house. What is the slope of the equation and what is its interpretation in the context
nf the problem?
Answers
Answer:
The slope is -4.5
The slope means that Elijah's phone battery will decrease by 4.5 percent each hour.
Step-by-step explanation:
In the equation y = mx + b, m is the slope.
The coefficient in the equation B = 27 – 4.5t is -4.5. This means that -4.5 is the slope of the equation.
In the context of this problem, the slope will represent the percent that Elijah's phone battery will decrease per hour.
So, the slope means that Elijah's phone battery will decrease by 4.5 percent each hour.
find the rule for the following geometric sequence: 4, -12, 36, -108, ....what is n7
Answers
Answer:
the rule is *-3,n7=-2916
Step-by-step explanation:
n4=108
n5=108*-3=-324
n6=-324*-3=972
n7=972*-3=-2916
The perimeter of a square is 36 feet. If you increase the length by 3 feet and decrease the width
by 2 feet, what is the area of the new figure?
Answers
Answer:
84 feet
Step-by-step explanation:
If the perimeter is 36 feet, and all the sides are the same length, then all the sides are 9. if we increase the length by 3 feet and decrease the width by 2 feet then we are left with 12 * 7 = 84
Fine the area of the regular figure
Answers
Answer:
139.5 mm
Step-by-step explanation:
The area of a geometric shape with all sides of equal length is:
A (1/2)nsr
n = the number of sides
s = the length of the sides
r = the length of the apothem
The apothem is the line going from the center point of the shape to the middle of one of the sides.
A = (1/2)(5)(9)(6.2)
A = (1/2)279
A = 139.5 mm
what is the surface area of this rectangular prism?
Answers
Answer:
Step-by-step explanation:
2 surfaces that are 5x7
2 surfaces that are 4x7
and the top and bottom that are 4x5
2*5*7 = 70
2*4*7 = 56
2*4*5 = 40
total surface is 166 [tex]cm^{2}[/tex]
Answer:
166 square centimeters
Step-by-step explanation:
Surface area of a rectangular prism can be found by finding the area of each of the six surfaces of the prism. Remember that opposite sides on a rectangular prism are equal to each other, as they have the same side lengths. Because of this, the equation for surface area can be described as: 2lw + 2lh + 2wh. In this case, the length l is represented by 5cm, the width w is 4cm, and the height h is 7 cm. Now you can solve for the surface area:
SA = 2lw + 2lh + 2wh
SA = 2(5 x 4) + 2(5 x 7) + 2(4 x 7)
SA = 2(20) + 2(35) + 2(28)
SA = 40 + 70 + 56
SA = 166
Recall that units of area are given as square units, and the measure of this rectangular prism is given in centimeters. The answer is then given in square centimeters.
SA = 166 square centimeters
Plsss help I am falling
Answers
Answer:
that sucks
Step-by-step explanation:
srry man i got nothin
Drag each number to the box on the right so it matches the value of the expression on the left. Each number may be used once, more than once, or not at all.
33.6252768.48
Expression Value of the Expression
[
4
×
(
4
+
3
)
]
−
3
[
(
7
−
5
)
÷
1
2
]
×
2
(
5
.
4
+
3
)
×
(
6
−
2
)
[
9
÷
3
+
6
]
×
3
(
4
+
3
.
2
)
×
[
(
9
−
2
)
+
2
.
5
]
Answers
Answer:
[4*(4+3)]-3 = 25
[(7-5)-: 1/2]*2 = 8
((5.4+3)*(6-2)) = 33.6
(9)/(3)+6)*3 = 27
(4+3.2)*[(9-2)+2.5] = 68.4
Step-by-step explanation:
Choose Equivalent or Not Equivalent
a. 6(3x+5) and 18x+30
b. 12y+3 and 3y+12