[tex]\left\{\begin{array}{ccc}3x+y=9\\y=3x+6&\text{subtract 3x from both sides}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}3x+y=9\\-3x+y=6\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad2y=15\qquad\text{divide both sides by 2}\\.\qquad\qquad\boxed{y=7.5}\\\\\text{Put the value of y to the first equation}\\\\3x+7.5=9\qquad\text{subtract 7.5 from both sides}\\3x=1.5\qquad\text{divide both sides by 3}\\\boxed{x=0.5}\\\\Answer:\ \boxed{x=0.5\ and\ y=7.5\to(0.5,\ 7.5)}[/tex]
A 5 pound bag of potatoes cost $3.40 what is the cost per pound
It would be $0.68.
To find it, divide the cost by the weight. So, the equation would be 3.40/5 or 3.40 divided by 5.
The cost per pound of potato would be $0.68.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We are given that 5 pound bag of potatoes cost $3.40
Then the cost per pound of potato .
We have to divide the cost by the weight.
So, the equation would be;
3.40 divided by 5.
3.40/5 = 0.68
The cost per pound of potato would be $0.68.
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A loan given to people who are purchasing real estate is called a a______. amortization loan B. real estate loan C. house loan D. mortgage
Answer:
Option D. mortgage
Step-by-step explanation:
A loan given to people who are purchasing real estate is called mortgage.
Answer:
D. mortgage
Step-by-step explanation:
-Amortization loan is a loan in which the payments are applied to the principal and the interests.
-Real estate loan is a loan that people use to buy real estate.
-House loan refers to a loan people use to buy a home.
-Mortgage is a type of loan that financial institutions provide for people to buy a property.
According to this, the answer is mortgage.
how many tenths are in 3.6
Answer:
Step-by-step explanation:
3.6/10=3.3/5
получется 3 целых 6 десятых сокращаем и получается 3 целых 3 пятых
Define perpendicular lines.
A.
Lines that cut across two or more lines.
B.
Two coplanar lines that intersect at a 90 degree angle.
C.
Two coplanar lines that do not intersect.
D.
Two non–coplanar lines that do not intersect
Perpendicular lines are two coplanar lines that intersect at a 90-degree angle, option B in the question.
Perpendicular lines are defined as two coplanar lines that intersect at a 90 degree angle. This means that the correct answer to the given question is B. It's important to understand that when lines are perpendicular, they create four right angles at the point where they intersect. Various geometrical theorems relate to the properties of perpendicular lines, for example:
Theorem 15 states that if two planes are perpendicular, a line drawn in one perpendicular to their intersection is perpendicular to the other plane.
Theorem 14 explains that if a line is perpendicular to two intersecting lines at their intersection, it is perpendicular to all lines on their plane that pass through this point.
Theorem 11 describes that if two equal lines in a plane are erected perpendicular to a given line, the line joining their extremities will make equal angles with them.
In advanced contexts, such as the geometry of spacetime, perpendicularity can be defined differently, often using the concept of the dot product being zero to identify perpendicular vectors.
how long is the flight from baltimore to miami
Answer:
The flight from Baltimore to Miami
has a duration around 2 hours and 50 minutes
Step-by-Step Explanation:
2hr 50min duration with at least 12+ flights per day
Plz Help I do not understand this
Cain is about to start a new job and his opponent employer has offered him two different options to get paid. Option A gives Cain $20 to start plus an additional $10 an hour option b gives Kane $40 to start plus an additional $5 an hour. Define your variables then create a system of equations.
Define Variables:
x =______
y =______
Equations
Option A: ______
Option B: ______
Hello,
So Y variable is what you would start with.
20 <= he'll start off with for a
40 <= what he'll start off with for b
And X variables would be the # of hours you're working.
10 <= meaning every hour worked is worth 10 dollars
5 <= meaning every hour worked will be paid 5 dollars
So let's just say for option a he works two hours
(Option A)
10 (2) + 20
20 + 20
= 40
(Option B)
5 (2) + 40
10 + 40
50
As for your equations
Y = 10x + 40
Y= 5x + 40
Solve: -6x-1+5x^2=8x^2
Answer:
[tex]x_{1} = -1 - \sqrt{\frac{2}{3}} ; x_{2} = -1 +\sqrt{\frac{2}{3}}[/tex]
Step-by-step explanation:
-6x -1 + 5x² = 8x² Move all terms to the right-hand side
0 = 8x² - 5x² + 6x +1 Combine like terms
3x² + 6x + 1 = 0
Apply the quadratic formula
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
a = 3; b = 6; y = 1
[tex]x = \frac{-6\pm\sqrt{6^2 - 4\times 3 \times1}}{2\times 3}[/tex]
[tex]x = \frac{-6\pm\sqrt{36-12}}{6}[/tex]
[tex]x = \frac{-6\pm\sqrt{24}}{6}[/tex]
[tex]x = \frac{-6\pm \sqrt{4\times6}}{6}[/tex]
[tex]x = \frac{-6\pm 2\sqrt{2}}{6}[/tex]
[tex]x = -1 \pm \sqrt{\frac{2}{3}}[/tex]
[tex]x_{1} = -1 +\sqrt{\frac{{2}}{3}}; x_{2} = 1 -\sqrt{\frac{{2}}{3}}[/tex]
The graph below shows the roots at x₁ =-1.816 and x₂ = -0.184.
if the discount is 30% and the sale price is $206.50 what is the original price
To determine the original price before a 30% discount resulted in a sale price of $206.50, we calculate the sale price as 70% of the original price, leading to the original price being $295.00.
Explanation:If the discount is 30% and the sale price is $206.50, we need to determine the original price before the discount. To do this, we first understand that the sale price represents 70% of the original price, because a 30% discount has been applied. Thus, to find the original price, we can set up the following equation where original price × 70% = $206.50.
Converting 70% to decimal form, we get 0.70. The equation then becomes original price × 0.70 = $206.50. To find the original price, we divide both sides of the equation by 0.70:
Original price = $206.50 / 0.70
Original price = $295.00
Therefore, the original price of the item before the 30% discount was applied is $295.00.
It takes 24 feet of fence to surround a square piece of land in Sam's backyard. Sam wants to plant flowers everywhere but on the diagonal sidewalk (shaded in the diagram attached). Note that there is 1 foot of sidewalk along two sides of the square as indicated in the diagram attached. What is the area of the sidewalk?
Answer:
Option B. 5.5 ft²
Step-by-step explanation:
Perimeter of the square piece of land = length of fence required
4(length of a side of the square) = 24 ft
Length of a side = 6 ft
Area of the square land = (Side)²
= 6²
= 36 square ft
Area of the side walk = Area of the square - [Area of two triangles separated by the sidewalk]
= 36 - [[tex]\frac{1}{2}(\text{Area of the square})+\frac{1}{2}(\text{Base})\tmes (\text{height})[/tex]]
= 36 - [[tex]\frac{36}{2}+\frac{1}{2}(6-1)(6-1)[/tex]]
= 36 - (18 + 12.5)
= 36 - 30.5
= 5.5 ft²
Therefore, Option B. is the correct answer.
The cheese club members bought 6 tickets to a tournament for $15 how much would they have paid if all 9 members wanted to go
First you have to find out the cost of the ticket. To do so you have to Divide 15 and 6. Which equals $2.50. So each ticket is $2.50 dollars. Now you have to multiple 2.50 times 9. which equals 22.5. So your total answer is $22.50 dollars
T(p) is a function that models the average yearly temperature based on the degree latitude(p) of the location on earth. The lines of latitude run from East to West, but they are measured in terms of North and South, extending from −90° to +90°. Which domain is appropriate for this function?
Answer:
All the real numbers between [tex]\pm 90^\circ[/tex] including [tex]\pm 90^\circ[/tex].
Step-by-step explanation:
T(p) models the average yearly temperature based on degree latitude of the location.
Since the lines of latitude runs from East to West and extending from [tex]-90^\circ[/tex] to [tex]+90^\circ[/tex], they can be included in the domain.
Also, the degrees of latitude can be fractional units, positive units, or negative units. Therefore, the domain appropriate for this function is All the real numbers between [tex]\pm 90^\circ[/tex] including [tex]\pm 90^\circ[/tex].
Answer:
D = all real numbers between ± 90, inclusive
Step-by-step explanation:
Degrees of latitude can be fractional units, positive units, or negative units.
**If you are on USA Test prep, the correct answer choice should be Di am completely lost... Is this a direct variation or an inverse variation? Explain.
You get 5x=y. The larger the x, the larger the y. So, this is a direct variation.
An angle whose measure is 405 is in standard position. In what quadrant does the terminal side of the angle fall?
Answer:
The angle is in quadrant one because one rotation is 360° and it’s just 45° more than 360°.
Q1
a mental alloy weighing 4mg and containing 20% iron is melted and mixed with 12mg of a different alloy which contains 40% iron. What percent of the resulting alloy is iron?
Answer:
60%
Step-by-step explanation:
Add both of the results
PLEASE HELP
Write a ratio for the situation in three ways, comparing the first quantity to the second quantity. A zoo has 17 monkeys and 12 chimpanzees. (1 point) 12 to 17, 12:17, twelve over seventeen17 to 12, 17:12, 17 over 1217 to 22, 17:22, 17 over 1217 to 12, 12:17, 17 over 12
2. Write a ratio for the situation in three ways, comparing the first quantity to the second quantity. In Largo City, about one in every nine homes contains four televisions. (1 point)
1 to 9, 1:9, 1/91 to 4, 1:4, 1/44 to 9, 4:9, 4/99 to 13, 9:13, 9/13
3. Write three ratios equal to 7 over 35. (1 point) 1 over 7, 2 over 14, 3 over 21five sevenths, 10 over 7, 15 over 77 over 35, seven over forty, seven over forty fiveone fifth, two tenths, three over fifteen
4. Jake sold 28 tickets to the school fair, and Jeanne sold 21 tickets. What is the ratio, in simplest form, of the number of tickets Jeanne sold to the number of tickets Jak
Final answer:
The ratio of monkeys to chimpanzees is 17 to 12. For the televisions in Largo City homes, the ratio is 1 to 9. Three ratios equal to 7 over 35 are 1 over 5, 2 over 10, and 3 over 15. Lastly, the simplest form of the tickets ratio is 3 to 4.
Explanation:
To write a ratio for the situation in three ways, comparing the first quantity to the second quantity for a zoo that has 17 monkeys and 12 chimpanzees, you would use the following ratios:
17 to 12, 17:12, 17 over 12For the scenario where one in every nine homes contains four televisions in Largo City:
1 to 9, 1:9, 1 over 9Writing three ratios equal to 7 over 35:
1 over 5, 2 over 10, 3 over 15To find the ratio in the simplest form of the number of tickets Jeanne sold to the number of tickets Jake sold when Jake sold 28 tickets and Jeanne sold 21 tickets:
The ratio would be 21 to 28 which simplifies to 3 to 4, 3:4, 3 over 4.part 2!!!!!!!!!!!!!!!
Answer:
Down below,
Step-by-step explanation:
First the 2nd question,
In 3 hours, Jamal hiked 6 miles, while Rubi hiked 7.5 miles. For a ratio, you could do 2.5:2 as Rubi hiked 2.5miles an hour while Jamal hiked 2 miles an hour.
For the 3rd question,
Rubi had a greater speed as he walked .5 miles an hour faster, as shown in the ratio above.
Hope i could help you, i would appreciate if you gave me brainliest, have a good day
Can some one help me with is question?
You want to determine your speed running across the room. What is one piece of data you need?
A) The distance you run
B) When you start your stopwatch
C) How big each step is
D) How fast you are moving
I know its not C)
Answer:
D) How fast you are moving
While all the others are useful information (except C), you are trying to solve for your speed, or mph. How fast you are moving is also solved using mph (or something like it).
speed = mph = how fast you are moving ∴ speed = how fast you are moving
~
Answer:
Choice A
Step-by-step explanation:
You need the distance and the time, which are D and T respectively. The speed or rate is R = D/T. You divide the distance over the time. Example: if run 10 miles in 2 hours, then your speed is R = D/T = 10/2 = 5 mph.
Choice A is correct because we need the distance.
Choice B is close to knowing the time T, but we would need to know the duration and not when the stopwatch was clicked on. In other words, we need to know the difference in when it was started and stopped. Simply knowing the starting point isn't enough. We can cross this off the list.
Choice C is close to what choice A is saying, but choice A is more accurate. We can cross this off the list.
Choice D is what we want to know. If we know how fast we're moving, then there's no need to calculate the speed. So we can cross choice D off the list as well.
How many solutions does the system of equations have ? Y= 6x +2 and 3y-18x=12
Answer:
0 solutions
Step-by-step explanation:
same slope, different y intercepts so they never intersect
Answer:
As both slopes are equal, and the values of b are different it means that the two lines are parallel and the system of equations does not have any solution. (Please see the picture below)
Step-by-step explanation:
1. First write the system of equations:
[tex]y=6x+2[/tex]
[tex]3y-18x=12[/tex]
2. Solve y for the second equation:
[tex]3y-18x=12[/tex]
[tex]3y=18x+12[/tex]
[tex]y=\frac{18x+12}{3}[/tex]
[tex]y=6x+4[/tex]
3. Re write both equations in the form y=mx+b, where m is the slope and b is the value of y when x=0 :
[tex]y=6x+2[/tex]
[tex]y=6x+4[/tex]
As both slopes are equal, and the values of b are different it means that the two lines are parallel and the system of equations does not have any solution.
pleaseeee helppp i keep getting the wrong so can somebody give me the correct answer
Answer: 39.25 miles per gallon.
Step-by-step explanation: To find miles per gallon, divide 314 miles by 8 gallons =
39.25 miles per gallon.
The answer is 39.25
note: if your teacher wants a fraction instead of a decimal, then it would be 157/4
=============================
Explanation:
Divide 314 over 8 to get 314/8 = 157/4 = 39.25
----
You can think of it as the ratio
314 miles: 8 gallons
(314/8) miles: (8/8) gallons <--- divide both parts by 8
(157/4) miles: 1 gallon
39.25 miles: 1 gallon
Meaning you can drive 39.25 miles on one gallon of gas
HELP PLEASE!!!!!!!!!!!!
Karen is using an indirect method to prove that segment DE is not parallel to segment BC in the triangle ABC shown below:
She starts with the assumption that segment DE is parallel to segment BC. Which inequality will she use to contradict the assumption?
A. 6:7 ≠ 2:7
B. 6:8 ≠ 7:10
C. 6:2 ≠ 7:10
D. 6:2 ≠ 3:2
Answer:
Option B
Step-by-step explanation:
In order to prove that segment DE is not parallel to segment BC, Karen takes an indirect way, that is she assumes that DE is parallel to BC, then by using the basic proportionality theorem,
[tex]\frac{AD}{AB}=\frac{AE}{AC}[/tex]
Now, AD=6, AB=AD+DB=8, AE=7 and AC=10
therefore, [tex]\frac{6}{8}=\frac{7}{10}[/tex] according to basic proportionality theorem, but in actual, [tex]\frac{6}{8}{\neq}\frac{7}{10}[/tex].
Thus, DE is not parallel to BC, therefore Option B is correct.
Answer:
B, 6:8 ≠ 7:10.
Step-by-step explanation:
what value of p makes the equation true? 3/4p + 1/6 = 37/60
Question
what value of p makes the equation true? 3/4p + 1/6 = 37/60
Answer:
yes, p makes the equation true and it's value is 3/5 or 0.6Step-by-step explanation:
3/4p + 1/6 = 37/60
3/4p = 37/60 - 1/6
3/4p = 9/20
p = 9/20 : 3/4
p = 9/30 * 4/3
p = 3/5
-------------------
check
3/4 * 3/5 + 1/6 = 37/60
37/60 = 37/60
the answer is good
Kate and did a hike at an elevation of 400 m above sea level she had started at an elevation 02 150 m below sea level which integer represents Kates change in elevation
Answer:
2550 m
Step-by-step explanation:
Change in elevation = 400 – (-2150)
Change in elevation = 400 + 2150
Change in elevation = 2550 m
Which of the following is the equation of a parabola with focus (0,2) and directrix y = -2?
Answer:
Alright well find the parabola with focus (0,2) and directrix y = - 2 So the Answer to the question is
x^2 = 8y Hope this helps have a nice day :)
Step-by-step explanation:
Answer:
the answer is (B) y = 1/8 x^2.
Step-by-step explanation:
the area of a circle is 196 pi square inches. what is the exact length of the circle's radius?
Area of a circle:
[tex]A=\pi r^2[/tex] "r" is the radius
Since you know [tex]A=196\pi[/tex] in², you can plug (196[tex]\pi[/tex]) for "A" in the equation
[tex]A=\pi r^2[/tex]
[tex]196\pi=\pi r^2[/tex] Divide pi on both sides
196 = r² Square root both sides
14 = r
The exact length of the circle's radius is 14 inches.
The formula to calculate the area (A) of a circle is given by:
[tex]A = π * r^2[/tex]
where "r" is the radius of the circle.
In this case, we are given that the area of the circle is 196π square inches. So we can set up the equation:
196π = π * [tex]r^2[/tex]
To find the radius (r), divide both sides of the equation by π:
[tex]r^2[/tex] = 196
Now, solve for the radius:
r = √196
r = 14
Therefore, the exact length of the circle's radius is 14 inches.
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Five years ago, one share of stock was worth $28.00. Today, one share of the stock is worth $62.00.What was the percent of change?
25 POINTS !!!
Answer:
44%
Step-by-step explanation:
Here's the equation: Account= principle x time x interest rate. In this problem, it would be $62 = $28 times 5 times X. $62=140x. 0.44. 44%.
the body building club has an annual fee of $350. You plan to visit 10 times each month. how much is your cost per visit?
Answer:
≈ $2.92 per visit
Step-by-step explanation:
10 times each month
so 12 months = 12 x 10 = 120
an annual fee of $350
$350 / 120 ≈ $2.92
An ice sculpture is melting because of heat. Assuming its height changes bynegative 5 over 32m every hour, what will be the change in height after 4 hours? negative 20 over 8 meters 5 over 8 meter negative 5 over 32 meter negative 5 over 8 meter
Answer:
[tex]-\frac{-5}{32} *4=- \frac{5}{8}[/tex]
Step-by-step explanation:
Answer:
- 5/8
Step-by-step explanation:
To solve you would do - 5/32 times 4/1 to get 20/32, then you would simplify to get 10/16, then you would simplify that to get - 5/8.
drinking 6 fluid ounces of milk provides 202.5 mg of calcium how many fluid ounces of milk are required to provide 52.5 mg of calcium round to the nearest tenth
Answer:
2 fluid ounces.
Step-by-step explanation:
202.5 divided by 6 = 33.75 (1 fluid ounce)
33.75 x 2 = 67.5. (68)
find tge slope and the y-Intercept 7x-9y=1
3(x−0.50)=5.97
what does x equal?
Answer:
x=2.49
Step-by-step explanation:
3(x−0.50)=5.97
Distribute the 3
3x - 3*.5 = 5.97
3x -1.5 = 5.97
Add 1.5 to each side
3x -1.5+1.5 = 5.97+1.5
3x = 7.47
Divide each side by 3
3x/3 = 7.47/3
x=2.49