Answers
1. there are two methods to solve this system
I.substition
from the first relation we can deduct
2a-b=4
2a=4+b
a=(4+b)/2
now we substitute a in the second relation
(4+b)/2+b=5
we multiply by 2
4+b+2b=10
3b=6
b=6/3=2
a+2=5
a=3
II.reduction
2a-b=4
a+b=5
we can add the two relations together
2a+a-b+b=4+5
3a=9
a=3
3+b=5
b=2
Related Questions
Patricia built 11 models every 33 hours. At that rate, how long, in hours, will it take to build 5 models?
Answers
33 hours for 11 models divide that and it is 3 hours per model, 3x5=15
Will is w years old.
Ben is 3 years older.
1. Write an expression, in terms of w, for Ben's age.
Jan is twice as old as Ben.
2. Write an expression, in terms of w, for Jan's age.
If you add together the ages of Will, Ben and Jan the total comes to 41 years.
3. Form an equation and solve it to work out how old Will, Ben, and Jan are.
Answers
Answer:
Will is 8 years old, Ben is 11 years old, and Jan is 22 years old
Step-by-step explanation:
Since Ben is 3 years older, his age can be represented by w + 3
Jan is twice as old as Ben, so her age can be represented by 2(w + 3)
Set up an equation that adds up these expressions and sets it equal to 41:
(w) + (w + 3) + 2(w + 3) = 41
Simplify, add like terms, and solve for w:
(w) + (w + 3) + 2(w + 3) = 41
(w) + (w + 3) + (2w + 6) = 41
4w + 9 = 41
4w = 32
w = 8
So, Will is 8 years old.
Find Ben's age by adding 3 to this:
8 + 3
= 11
Find Jan's age by multiplying this by 2:
11(2)
= 22
So, Will is 8 years old, Ben is 11 years old, and Jan is 22 years old
Anyone knows this please help me
Answers
Answer:
(0, 2 ) and (- [tex]\frac{4}{3}[/tex], [tex]\frac{2}{9}[/tex] )
Step-by-step explanation:
Given the 2 equations
2x² + 4x - y = - 2 → (1)
x² + y = 2 → (2)
subtract x² from both sides in (2)
y = 2 - x² → (3)
Substitute y = 2 - x² into (1)
2x² + 4x - (2 - x²) = - 2
2x² + 4x - 2 + x² = - 2
3x² + 4x - 2 = - 2 ( add 2 to both sides )
3x² + 4x = 0 ← in standard form
x(3x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x = 0
3x + 4 = 0 ⇒ 3x = - 4 ⇒ x = - [tex]\frac{4}{3}[/tex]
Substitute these values into (3) for corresponding values of y
x = 0 : y = 2 - 0² = 2 - 0 = 2 ⇒ (0, 2)
x = - [tex]\frac{4}{3}[/tex] : y = 2 - (- [tex]\frac{4}{3}[/tex] )² = 2 - [tex]\frac{16}{9}[/tex] = [tex]\frac{2}{9}[/tex] ⇒ ( - [tex]\frac{4}{3}[/tex], [tex]\frac{2}{9}[/tex] )
A cylindrical container holding sugar has a height of 14 inches and a diameter of 6 inches. Which of the following is the closest to
the volume of the sugar container?
Answers
If purchased before the game, tickets to a high school baseball game cost $1.00. If purchased at the gate, the tickets cost $1.50. For a particular game, 500 tickets were sold and the total receipts were $587.50. How many tickets were purchased before the game and how many tickets were purchased at the gate?
Answers
Answer:
10
Step-by-step explanation:
Answer:
235
Step-by-step explanation:
The ratio of cats to dogs at a pet store is
4:5, which means...
Answers
Answer:
Huhhhhhhhhhhhh 4x and 5x
Complete the ratio. 78 chairs in 6 rows : ______ chairs in 1 row.
Answers
Answer:
13 chairs in one row
Step-by-step explanation:
i don't know how to explain bi have given you the answer already goodbye
Determine the type of correlation represented in the scatter plot below.
A. a perfect positive correlation
B. a strong positive correlation
C. a weak positive correlation
D.no correlation
E. a weak negative correlation
F. a strong negative correlation
G. a perfect negative correlation
Answers
Answer:
f is correct
Step-by-step explanation:
A weak negative correlation. Correct option is E.
What is a correlation?A correlation between two variables tells the how the first variable will change, with change in second variable.
Given,
Value of y decreases as the value of x increases and vice versa.
Also, x and y are nearly linearly related.
But, there is still some deviation in the values and are not perfectly linear.
Hence, there is a weak negative correlation between x and y.
To learn more about correlation visit:
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(100)
What sequence of transformations has occurred? List them in the order they occurred.
A Reflect over the y-axis, then dilate with a scale factor of 1/2
Reflect over the y-axis, then dilate with a scale factor of 2
Dilate with a scale factor of 2, then reflect over the y-axis
Dilate with a scale factor of 1/2 then reflect over the y-axis
Answers
Answer:
i need this for a challenge
Step-by-step explanation:
The Mapleton Middle School band has 41 students. Six students play a percussion instrument. What percent of students in the band play a percussion instrument? Round your answer to the nearest tenth of a percent.
Answers
Answer:
the percentage of the students in the band that play a percussion instrument is 14.6%
Step-by-step explanation:
The computation of the percentage of the students in the band that play a percussion instrument is as followS;
= number of students played percussion instrument ÷ total number of students
= 6 students ÷ 41 students
= 14.6%
Hence, the percentage of the students in the band that play a percussion instrument is 14.6%
The same is relevant
Determine whether each number is a solution of the
given inequality.
6-n > 11
when n = -5
O YES (n = -5 is a solution of the inequality)
O NO (n = -5 is not a solution of the inequality)
Answers
Answer:
NO (n = -5 is not a solution to the inequality).
Step-by-step explanation:
Given
[tex]6-n-6>11-6[/tex]
Subtract 6 from both sides
[tex]6-n-6>11-6[/tex]
Simplify
[tex]-n>5[/tex]
Multiply both sides by -1 (reverse the inequality)
[tex]\left(-n\right)\left(-1\right)<5\left(-1\right)[/tex]
Simplify
[tex]n<-5[/tex]
Therefore, n = -5 is NOT a solution of the inequality because 'n' must be less than -5.
Hence,
NO (n = -5 is not a solution to the inequality).
Verification:
Given
[tex]6-n-6>11-6[/tex]
substitute n = -5
6 - (-5) - 6 > 5
6+5-6 > 5
5 > 5
FALSE
Item 10
Of 140 seventh-grade students, 15% earn the Presidential Physical Fitness Award. How many students earn the award?
Answers
Answer:
21 Students
Step-by-step explanation:
140 x .15 = 21
whats slope intercept form for 2x- 5y=10
Answers
Answer:
y=-2/5x-2
Step-by-step explanation:
First, you put x to the other side of the equation so you get y alone, getting the equation of -5y=-2x+10. In order to just have y on one side, you need to divide the whole equation by -5. This leads to the final answer of y=-2/5x-2.
Tell whether the ordered pair (-4,-2) is a solution of the system of linear equations.
Y= 2x+6
Y= -3x-14
Answers
-7(8) =
Spam:$:$:$:!:!;!;!,!,!,,!!,,!,!,!,!,!,!
Answers
Answer:
-56
Step-by-step explanation:
-7 x 8= -56
Ethan is planning flowers in boxes East flower box can hold 4 Ethan wants to plan 38 red flowers and 33 white flowers in the flower boxes what is the fewest number of flower boxes he would need to plant all the flowers
Answers
Answer:
18 flower boxes
Step-by-step explanation:
Given that:
Capacity of each flower box = 4
Number of flowers to plant :
Red = 38
White = 33
Total = (38 + 33) = 71 flowers
Fewest number of flower boxes needed to plant all flowers :
Total flowers to plant / capacity of each plant
71 / 4
= 17.75
= 18 boxes
Which equation below does NOT represent a function?
A
y = -4
B
y = x2 + 1
C
x2 + y2 = 6
D
y = 2x + 5
Answers
Answer:
C
Step-by-step explanation:
x2+y2=9 is an example of a non function because there is at least one x value with two or more y values .
The equation below does NOT represent a function is D x² + y² = 6
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) .
x² + y² = 9 is an example of a non function because there is at least one x value with two or more y values .
Now, y = 4
y = x - 4
y = x^2 - 4
Also, x² + y² = 6
This is not a function as there should be minimum one x value with two or more y values. this equation does not meet the criteria so this represent non-function.
Learn more about function here:
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i need help with this one
Answers
Answer:
Domain → [-5, 11]
Step-by-step explanation:
Domain of a graph or function is defined by the x-values (Input values).
From the graph attached,
Since, the graph starts from x = -5 and ends at x = 11,
(Shown as the dark points)
Therefore, domain of the graph will be represented by,
Domain → [-5, 11]
HELP PLEASE LOOK AT THE PIC ATTACHED
A PAIR OF PARALLEL LINES IS AND
Answers
Answer: ↓↓↓
Step-by-step explanation:
a.) DE || CB
b.) AJ ⊥ A F
c.) No, because they don't intersect at a right angle.
a. A pair of parallel lines is BC and GH.
NEED DONE BY 8 PLEASE HELP!!
Answers
Answer:
a. 8 y/s; divide 40(distance) by 5(time)
b. 1/8 2/16 3/24 4/32 5/40 6/48 7/56; multiply speed and time ex. 8×1=8; 8×2=16; 8×3=24 and so on
c. 80 yards; multiply time and distance 8×10
Please help!
Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses
b. 2x - 7 and the opposite of 2x
Answers
Step-by-step explanation:
We need to write the sum of 2x - 7 and the opposite of 2x
Opposite of 2x is (-2x)
Sum means to add the number :
2x-7 + (-2x)
Remove parentheses,
2x-7 - 2x
Taking like terms together,
2x-2x-7= 0-7
= -7
Hence, the answer is -7.
Tell whether the expressions modeled below are equivalent. Explain how you know.
+
+
+
2(x-3)
2x-3
Answers
Answer:
they're not
Step-by-step explanation:
when you distribute the 2 into (x-3) you get 2x-6
and thats not equivalent to 2x-3
1. Mrs. McKee is thinking of buying solar panels to put on the roof of her new house. The Sunny Solar Company told her that for every 2 panels, she will save $80 on her electric bill.
Make a visual representation ( examples include: a graph, a table, or a picture) for the ratio of the panels to the money that she will save on her electric bill.
(a) Write the ratio of panels to money saved as a reduced fraction. Show your work
I need help ;-;
Answers
Answer:
The reduced fraction of the ratio of panels to money saved is 1 panel/ $30 saved on electric bill.
This is because the given parameter from the Solar Company, on the cost savings from the use of solar panels is the amount Mrs. Jolley saves on her electricity bill for every 2 solar panels = $60 \
I dont have the graph sry
Answer:
I don't know sorry I took up space but to brainly on you tube channel
Step-by-step explanation:
Please Help Me!
(If you don't know, plz don't answer)
Compare properties of squares and rhombi to properties of other quadrilaterals by answering each question.
(a) Describe a property of squares that is also a property of rectangles.
(b) Describe a property of squares that is NOT necessarily a property of all rectangles.
(c) Describe a property of rhombi that is also a property of squares.
(d) Describe a property of rhombi that is NOT necessarily a property of all parallelograms.
(e) Describe a property that applies to ALL parallelograms.
Answers
Answer:
A. they both have 4 right angles
B. a sqaure has 4 even sides, a rectangle doesnt
c. they both have 4 even sides
d. rhombi has 2 acute and 2 obtuse angles
e. Parallelograms are a quadrilateral where diagonals bisect each other, opposite sides are parallel by definition, opposite sides are congruent and consecutive angles are supplementary.
Solve the system of linear equations by substitution. 4x−2y=14 y=12x−1
Answers
Answer:
Step-by-step explanation:
16
Two people jog at the speed of 6 km/hr (Person 1) and 4 km/hr (Person 2). What is
the distance covered by each one of them when they run a total of 2 hours?
Answers
Answer:
Person 1 run a total of 12 km. Person 2 run a total of 8 km.
Step-by-step explanation:
Person 1 = 6 km/hr x 2
6 x 2= 12 km
Person 2 = 4 km/hr x 2
4 x 2= 8 km
yall please help me with this math question :/
Answers
Solve the equation for y. 6y + 241 = 66
I need help finding Y for this Answer
Answers
Answer:
y= -29.16 (the 6 is repeated)
Step-by-step explanation:
6y+241=66
Subtract 241 on both sides
6y= -175
Divide by 6 on both sides
y= -29.16 (the 6 is repeated)
What is the measure of an interior angle of a regular nonagon?
Answers
Oh my day 213 students went on a trip to the zoo all for buses were filled in fives in students have to travel on cars how many students were in each bus
Answers
Answer: 52 students
Step-by-step explanation:
5 students had to travel in cars so the total number that travelled by bus is:
= 213 - 5
= 208
The number of students on each of the 4 buses is:
= 208/4
= 52 students