Answer:
first one is proportional, second is not. (not sure how to answer the number thing lol)
Step-by-step explanation:
Learning task 2
A. Solve the systems of equations by a) graphing b) elimination c) substitution
Eq. 1: 2x - 3y = -1; Eq. 2: y = x - 1
B. Solve the problem using any method.
The sum of two numbers is 32 and the difference is 2. Find the numbers
The given equations are
[tex]2x-3y=-1\cdots(i) \\\\y=x-1\cdots(ii)[/tex]
(a) Solution by graphing both the equations:
Graph for both the equations (i) and (ii) are in the figure. The point of intersection of both the graph is the solution of the equations.
From the graph, the point of intersection is (4,3)).
Hence, the required solution is (4,3).
(b) Solution by elimination method:
Equations (ii) can be written as -x+y=-1, now multiply it by 2, we have
[tex]-2x+2y=-2\cdots(iii)[/tex]
Add equations (i) and (iii), we have
2x-3y=-1
-2x+2y=-2
__________
[tex]\Rightarrow -3y+2y=-1-2\\\\ \Rightarrow -y=-3\\\\ \Rightarrow y=3.[/tex]
Putting the value of y=3 in equation (i), we have
[tex]2x-3\times 3=-1 \\\\\Rightarrow 2x=-1+9=8 \\\\\Rightarrow x=8/2=4[/tex]
Hence, the required solution is (4,4).
(c) Solution by substitution method:
Substituting the value of y from equation (ii) to equation (i), we have
[tex]2x-3(x-1)=-1 \\\\\Rightarrow 2x-3x+3=-1 \\\\\Rightarrow -x=-1-4=-4 \\\\\Rightarrow x=4[/tex]
Putting the value of x=4 in equation (i), we have
[tex]y=4-1=3[/tex].
Hence, the required solution is (4,3).
Find the value of 4/5 divided by 8/15. You must simplify.
Answer:
3/2
Step-by-step explanation:
Assuming you meant fractions, to divide them, you must multiply the reciprocal of that fraction. You'll then have:
4/5x15/8
Reduce the numbers of the greatest common factor which is 5:
4x3/8
Reduce the numbers of the greatest common factor which is now 4:
3/2 is your answer
The first equation in the system of equations that models this situation is x+y=70, where x represents the number of 2-point questions the number of 4-point questions. What is the other equation in the system? Enter the correct answer in the box. Substitute numerical values in the expression for A, B, and C.
Answer:
2x+4y=150
Step-by-step explanation:
Top answer is right as it is shown in the picture below!
HELP!!!! Please help me!!!
Answer:
The answer you have checked is the correct one.
6. Which of the following lines is perpendicular to the line **
4y = -- 24 and passes through the point (6 - 2)
(A) y a 4x 22
(B) yax - 22
(C) y = 22
(D) y - 4x-22
(E) = 4x+18
Answer:b
Step-by-step explanation:
Its correct
Line t has slope 3 and passes through (0, 0). Follow these steps:
Step 1: Start at (0, 0)
Step 2: Move right 8 units
Answer:
foot
Step-by-step explanation:
12 people in line at an ice-cream shop 8 ordered cones with 2 scoops of ice cream the rest ordered cones with 1 scoop what is the ratio
Answer:
2:1
Step-by-step explanation:
The worst feeling in the world: Getting earbuds ripped out of your ears. Whats yours?
Answer:
When you're listening to heartfelt emotional music and you're about to cry and then it starts buffering explanation:
Mood killer
Answer:
being abandoned by my significant other, being unable to talk to my significant other, just being alone and getting abandoned in general
Step-by-step explanation:
A pair of designer sneakers was purchased for $100. Since they were purchased, their price has increased by 15%. What is the new price?
Answer:
115
Step-by-step explanation:
how do i solve this?
Answer:
add up ??
Step-by-step explanation:
6. The variable n represents the figure number
in the following algebraic pattern rules:
A. 4n B. 2n + 2 C. 3n + 1 D. 4n - 1
Which of these pattern rules describes the
toothpick pattern shown below? Explain
how you know.
A
Figure 1
Figure 2
Figure 3
Figure 4
Which of the ratios below is equivalent to 2:1? Select all that apply.
A) 6:4
B) 8:4
C) 10:5
D) 6:12
E) 6:3
a car is traveling at 35 miles per hour. what is the car's speed per second?
please help :(
A department store buys 300 shirts for a total cost of $7,200 and sells them for $30 each. Find the percent markup.
Answer:
80%
Step-by-step explanation:
because 7200 / 300 equals 24 and 24 / 30 equals .8 so its 80% and if you want to check the answer you take 30 * .8 OR 80% and it gives you 24
The percent markup is 25%.
What is percent markup?Markup percentage is calculated by dividing the gross profit of a unit (its sales price minus it's cost to make or purchase for resale) by the cost of that unit.
Given that, A department store buys 300 shirts for a total cost of $7,200 and sells them for $30 each.
Cost of one shirt = 7200 / 300 = $24
And they sold at $30 each,
Percent markup = 30-24 / 24 × 100
= 25%
Hence, the percent markup is 25%.
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Can I conclude ? (Please don’t be wrong I’ll give brainlist)
Answer:
yes because of the side-angle-side theorem
Step-by-step explanation:
SmolHumanAngel here y go
Answer:
E.24/7 tan(74) = opposite/advanced The length of the side opposite to the 74 degree angle is 24 units*The length of the side adjacent to the 74 degree angle is 7 units*If you substitute the value into the formula to obtain: tan(74) = 24/7 The correct answer is option E
Find the slope between the following two points: (3, 1), (5, 4).
Answer:
3/2
Step-by-step explanation:
Answer:
3/2
Step-by-step explanation:
Find the slope of the line passing through the points (-7, -4) and (8,8).
Answer:
Hope its work for you
Step-by-step explanation:
As we know that,
slope=m=(Y2-Y1)/(X2-X1)As given values
take, (X1,Y1)=(-7,-4)
(X2-Y2)=(8,8)
hence X1=-7 , Y1= -4 , X2=8 , Y2= 8
putt the values in the above equation of slope we get ,
m=(8-(-4))/(8-(-7)
m=12/15 AnsAnswer:
0.8
Step-by-step explanation:
Slope=(y2-y1) (8--4) (12)
(x2-x1)= (8--7)= (15)= 0.8
Find the perimeter of the figure.
Answer:
17x-3
Step-by-step explanation:
6x+9 + 3x-2 = 9x+7
2(4x-5) = 8x-10
9x+7 + 8x-10 = 17x-3
Answer:
Step-by-step explanation:
Answer:
17x-3
Step-by-step explanation:
6x+9 + 3x-2 = 9x+7
2(4x-5) = 8x-10
9x+7 + 8x-10 = 17x-3
What’s the answer to this math problem
Answer:$240.00
Step-by-step explanation:
$240.00
Answer:
It depends on how much the computer costs originally and the model of computer.
Step-by-step explanation:
Say the computer costs 151.98 USD with the tax added, then the computer would cost 148.00 USD without tax. Or if the computer costs 162.79 USD with the tx added, then the computer would cost 160.00 USD without tax. It's the same for the rest but it also depends on the model of computer. (My calculations of adding 3 or 2 USD as the tax is just for example, i don't know how they calculate tax for computers)
151.98-148.00= 3.98$
162.79-160.00=2.79$
Can someone please help with this question please I need help?!
Answer: B
Step-by-step explanation:
Each month, the person seems to grow taller. So, there IS a positive association between height and age.
Can you measure 4 gallons of water using a 3 gallon jar and a 6 gallon jar?
Answer:
yes just fill up the 6 gallon jar up to the 4 galon mark
Step-by-step explanation:
Please help me find tge answer soon thxs
Answer:
acute
Step-by-step explanation:
It measures less than 90 degrees
Answer:
Acute angle
Step-by-step explanation:
(less than 90°)
How many solutions does the equation below have.
*The answer choices are below*
==========================================
Work Shown:
2(b+3)-17 = 3b-7+b
2b+6-17 = 4b-7
2b-11 = 4b-7
-11+7 = 4b-2b
-4 = 2b
2b = -4
b = -4/2
b = -2
There is one solution and it is b = -2
A quick way to tell we have one solution is to note that both sides are a linear expression, and that the slopes of each linear expression are different values. If you had two lines with the same slope, then you'd have either parallel lines or coinciding lines (leading to no solutions and infinitely many solutions respectively). When you have two lines with two different slopes, then they are guaranteed to intersect only once. That intersection point is the solution.
Answer:
The answer is one solution
Step-by-step explanation:
1)2(b+3)-17 = 3b-7+b
2)2b+6-17 = 4b-7
3)2b-11 = 4b-7
4)-11+7 = 4b-2b
5)-4 = 2b
6)2b = -4
7)b = -4/2
Final your answer is b = -2
Why did Texans prefer low tariffs over protective tariffs? help plz
Answer:
they felt it only benefited the industrialized north, increased the cost of British textiles.
Step-by-step explanation:
learned during U.S history so i think its right
Answer:
Tariffs hurt Southerners?
Step-by-step explanation:
In 1828, Congress passed a high protective tariff that infuriated the southern states because they felt it only benefited the industrialized north. For example, a high tariff on imports increased the cost of British textiles. This tariff benefited American producers of cloth — mostly in the north.
8. The table shows the linear relationship between the balance of a student's savings
account and the number of weeks he has been saving.
Savings Account
Week
1 3
8 13
Balance
53
88
(dollars)
123
0
6
32
39
74
Based on the table, what was the rate of change of the balance of the student's
savings account in dollars and cents per week?
Answer:
7 dollars
Step-by-step explanation:
Helppp!
Three sides of a triangle are 35 cm , 42 cm, and 70 cm . What is the ratio of the sides of the triangle?
A. 5:6
B. 70:84:140
C. 5:6:10
D. 7:6:42
Simplity
4/x+1 - 3/x-1
Answer:
[tex]\frac{1}{x}[/tex]
or
[tex]\frac{4x^{2} -3}{x}[/tex]
Step-by-step explanation:
can i have brainliest?
Compute the sum of the squares of the shorter lengths. Compute the sum of the squares of the shorter lengths. Compute the square of the longest length. Compute the square of the longest length. What kind of triangle is it? What kind of triangle is it? Acute triangle Acute triangle Right triangle Right triangle Obtuse triangle Obtuse triangle
The given triangle is a right triangle because it agrees Pythagoras theorem.
In the given triangle, the shorter lengths are 12 and 16.
The sum of square of shorter lengths:
[tex]= 12^2 + 16^2[/tex]
[tex]=144+256[/tex]
[tex]=400[/tex]
The longer length is 20.
Square of the longest length is [tex]20^2.[/tex]
[tex]20^2 = 20 \times 20[/tex]
=400
The sum of squares of shorter lengths is equal to Square of the longest length which obeys Pythagoras theorem.
400 = 400
As this is agreeing Pythagoras theorem it is a right angle triangle.
Hence, option B is correct. right triangle.
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A company has to buy computers and printers. Each computer costs $550 and each printer costs $390. If
the company spends $8160 and buys a total of 16 machines, how many of each did it buy?
a. Let Statements:
b. Write the system:
Answer:
Answer:the company bought 12 computers and 4 printers.
Step-by-step explanation:
Step-by-step explanation:
Let x represent the number of computers that the company bought.
Let y represent the number of printers that the company bought.
The company buys a total of 16 machines. It means that
x + y = 16
Each computer costs $550 and each printer costs $390. If the company spends $8160 for all the computers and printers that was bought, it means that
550x + 390y = 8160 - - - - - - - - - - 1
Substituting x = 16 - y into equation 1, it becomes
550(16 - y) + 390y = 8160
8800 - 550y + 390y = 8160
- 550y + 390y = 8160 - 8800
- 160y = - 640
y = - 640/ - 160
y = 4
Substituting y = 4 into x = 16 - y, it becomes
x = 16 - 4
x = 12
Answer:
The company bought 12 computers and 4 printers.
Step-by-step explanation:
Let x represent the number of computers that the company bought.
Let y represent the number of printers that the company bought.
The company buys a total of 16 machines. It means that
x + y = 16
Each computer costs $550 and each printer costs $390. If the company spends $8160 for all the computers and printers that was bought, it means that
550x + 390y = 8160 - - - - - - - - - - 1
Substituting x = 16 - y into equation 1, it becomes
550(16 - y) + 390y = 8160
8800 - 550y + 390y = 8160
- 550y + 390y = 8160 - 8800
- 160y = - 640
y = - 640/ - 160
y = 4
Substituting y = 4 into x = 16 - y, it becomes
x = 16 - 4
x = 12