Answer:
y = 150x + 200
Step-by-step explanation:
Given the table :
Week (x) __ 0 ____ 1 ____ 2 ____3 _____ 4
Balance(y) :$200_ $350_ $500_ $650_ $800
Equation in slope - intercept form:
y = mx + c
Where
x and y are the independent(x) and dependent variables (y)
C = intercept, value of y, when x = 0
m = gradient change in y per change in x
Hence,
c = $200 ; y value when x = 0
m = change in x / change in y
m = (500 - 350) / ( 2 - 1)
m = $150
Hence, equation becomes :
y = 150x + 200
-35x+70y=29
10x-20y=-10
Answer:
-25x + 50y = 19
Step-by-step explanation: So sorry if I'm wrong
Answer:
x=3
y=2
Step-by-step explanation:
you can either use substitution or elimination method
I find substitution method better
substitute x with 3 and in this method u use one of the equation
10(2)-20y=-10
20-20y=-10=2
y=2
now use y=2 with the same equation
10x-40=-10=30
10x=30
x=3
therefore
x=3
y=2
Pat bounces a basketball 25 times in 30 seconds. At that rate, approximately how many
times will Pat bounce the ball in 150 seconds?
А
120
B
125
с
144
D
145
Answer:
The answer is B
Step-by-step explanation:
If it takes 30 seconds to bounce the ball 25 times, you divide 150 by 30 and get 5 which you multiply times 25 to get 125.
Decide whether the statement is true or false. If false, rewrite the
right-hand side of the equation so the statement is true.
1. 4(2 + 7)? 4(2) +7
Answer:
It's False
4(2 + 7) = 4(2) + 4(7) = 36
Step-by-step explanation:
4(2 + 7) = 36
4(2) +7 = 15
recipe says that 2 cups of rice will serve 6 people. Determine how many people can be served with 10 cups of rice and how many cups of rice you need to serve 45 people. Cups of Rice i need answers
Answer:
10 cups for 30 people
15 cups for 45 people
Step-by-step explanation:
Since this is a ratio problem and we only need to find the value of one variable (how many people can be served) then we can use the Rule of Three to solve this problem like so...
2 cups <========> 6 people
10 cups <========> x people
(10*6) / 2 = x ... cross multiply the two available numbers and divide by the third
30 people = x
We can now see that 10 cups of rice can feed 30 people ... Now we can use the same process to find the number of cups needed for 45 people.
2 cups <========> 6 people
x cups <========> 45 people
(45*2) / 6 = x
15 cups = x
Earth travels 30 kilometers each second as it revolves around the Sun. How many miles does Earth travel in 1 second?
Answer:
18.64 Miles
Step-by-step explanation:
For 0 ≤ ϴ < 2π , what are the solutions to sin2(ϴ) = 2sin2 (StartFraction theta Over 2 EndFraction)?
Answer:
Its A. I took the quiz.
Step-by-step explanation:
Soluions for the given expression in the given interval will be {0, π/2, 3π/2}.
Option A will be the answer.
Solutions of the trigonometric identites:Given expression in the question,
[tex]\text{sin}^2(\theta)=2\text{sin}^2(\frac{\theta}{2} )[/tex]
[tex][2\text{sin}(\frac{\theta}{2} )\text{cos}(\frac{\theta}{2} )]^2=2\text{sin}^2(\frac{\theta}{2} )[/tex]
[tex]4\text{sin}^2(\frac{\theta}{2} )\text{cos}^2(\frac{\theta}{2} )=2\text{sin}^2(\frac{\theta}{2} )[/tex]
[tex]4\text{sin}^2(\frac{\theta}{2} )\text{cos}^2(\frac{\theta}{2} )-2\text{sin}^2(\frac{\theta}{2} )=0[/tex]
[tex]2\text{sin}^2(\frac{\theta}{2} )[2\text{cos}^2(\frac{\theta}{2} )-1)]=0[/tex]
[tex]\text{sin}\frac{\theta}{2}=0[/tex]
[tex]\frac{\theta}{2} =n\pi[/tex]
[tex]\theta=2n\pi[/tex] [Here, n = integer]
[tex]\theta=0,\pi,2\pi.....[/tex]
Therefore, [tex]\theta=0[/tex] [Since, [tex]0\leq \theta < 2\pi[/tex]]
[tex]2\text{cos}^2(\frac{\theta}{2})-1=0[/tex]
[tex]\text{cos}\theta=0[/tex]
[tex]x=\frac{\pi}{2}+\pi n}[/tex] [Here, n = integer]
Therefore, [tex]\theta=\frac{\pi}{2},\frac{3\pi}{2}[/tex] [Since, [tex]0\leq \theta < 2\pi[/tex]]
Hence, soluions for the given expression will be {[tex]0,\frac{\pi}{2} ,\frac{3\pi}{2}[/tex]}.
Learn more to get the solutions of the trigonometric expressions here,
https://brainly.com/question/14108526?referrer=searchResults
1. (02.01 LC)
Simplify (4.5)(5)(-2).
Answer:
-45
Step-by-step explanation:
i took the test and it was right
Help!!!!!! I need help asapppopopppppp
Answer:
9072
Step-by-step explanation:
Will make brainliest!
Please explain what I did wrong , and please give me the correct answer thank you :)
Which is a diagonal through the interior of the cube?
A cube. The top face has points A, B, D, C. The bottom face has points E, F, H, G.
Side A D
Side B G
Side C E
Side D F
oh and those are the answer choices
Answer :
Bg
Step-by-step explanation:
Answer:
Here is the real answer I got it wrong on edge just to see the answer for you guys I promise its right AH, BG, DE, DH
Step-by-step explanation:
Welcome
Drew runs an 8 mile race. How many km has he run? Use the conversion factor 1 km=.62 miles.
Answer:
12.8 is how many kilometers drew runs
Answer:
0.62*8=4.96
happt to help
A recipe calls for 40 ounces of rice how many grams of rice does the recipe require
Answer:
1,120
Step-by-step explanation:
On a planet, a rock is dropped from the top of a 400-foot cliff. After 1 second, the rock is traveling feet per second. After seconds, the rock is traveling feet per second.
a. Assume that the relationship between time, t, and speed, s, is linear and write an equation describing this relationship. Use ordered pairs of the form (time, speed).
b. Use this equation to determine the speed of the rock seconds after it was dropped.
Answer:
sorry i do not know . i just need to answer this. no hard feelings
Step-by-step explanation:
Graph f(x)=−0.25x+4.
Use the line tool and select two points to graph the line.
My graph only goes from 1-10!
For every 0.3048 meters, there is one foot. Determine the number of feet in 7.9248 meters. Use paper to support your answer.
Answer:
26 feet
Step-by-step explanation:
7.9248 divided by 0.348
1 Thomas uses a graphing calculator to solve the following word problem. Two shirts and five pairs of pants cost $150. Three shirts and four pairs of pants cost $190. Find the cost of a shirt. Select the statements that describe the steps that Thomas can use to solve the problem using his graphing c A Let x equal the cost of a shirt and y equal the cost of a pair of pants. B Solve each equation for y. c Solve each equation for r. D The solution is the point where the lines intersect. E The solutions are the points where the lines intersect the y-axis.
Answer:
The correct options are;
A. Let x equal the cost of a shirt and y equal the cost of a pair pants
B. Solve each equation for y
D. The solution is the point where the lines intersect
Step-by-step explanation:
The cost of two shirts and five pants = $150
Three shirts and four pairs of pants = $190
Let x = The cost of a shirt and y = the cost of a pair of pants
We have;
2·x + 5·y = 150
3·x + 4·y = 190
We solve each equation for y, to get;
For the first equation, we have;
2·x + 5·y = 150
5·y = 150 - 2·x
y = 150/5 - 2/5·x = 30 - 2/5·x
y = 30 - 2/5·x
For the second equation, we have;
3·x + 4·y = 190
4·y = 190 - 3·x
y = 190/4 - 3/4·x = 47.5 - 3/4·x
y = 47.5 - 3/4·x
The solution is the point where the two lines intersect, which is given as follows;
y = y
47.5 - 3/4·x = 30 - 2/5·x
17.5 = 3/4·x - 2/5·x = 7/20·x
x = 20/7 × 17.5 = 50
The cost of a shirt = x = $50
The cost of a pair of pant = y = 30 - 2/5·x = 30 - 2/5 × 50 = 10
The cost of a pair of pant = $10.
Kayla and her children went into a restaurant and she bought $63 worth of hotdogs
and tacos. Each hotdog costs $3.50 and each taco costs $4. She bought 3 more
hotdogs than tacos. Write a system of equations that could be used to determine the
number of hotdogs and the number of tacos that Kayla bought. Define the variables
that you use to write the system.
Answer:
I think the equation would be 3.5x-4y=63
x=10
y=7
Step-by-step explanation:
in what quadrant can you find the point (-5,4)
Answer:
Quadrant II
General Formulas and Concepts:
The top right square of the Cartesian Plane is the First Quadrant.
The top left square of the Cartesian Plane is the Second Quadrant.
The bottom left square of the Cartesian Plane is the Third Quadrant.
The bottom right square of the Cartesian Plane is the Fourth Quadrant.
Read the Cartesian Plane counterclockwise starting from the top right.
Step-by-step explanation:
Step 1: Define
(-5, 4)
x = -5
y = 4
Step 2: Find
We know since x = -5, our point is either going to be in Quadrant II or IIISince y is positive (4), it will go up, meaning that the point will be in Quadrant IIUse absolute value to find the distance between −112 and 114 .
Enter your answer, as a mixed number in simplest form, in the box.
Answer:
2
Step-by-step explanation:/-112/=112 and /114/=114 then you subtract and the answer is 2
The converse of “If x=3, then 5x=15” is “If x≠3, then 5x≠15
True or false
Answer:
True
Step-by-step explanation:
This is true beacuse if x=3, then you would get this answer: 5(3)=15
But, if x does not equal 3 you wouldn't get 15. Instead, you'd get a differet number.
Brainliest if correct
Answer:
20
Step-by-step explanation:
4+40-3(8)
44-24
20
Answer: 20
Step-by-step explanation:
(2)^2+4(10)-3(10-2)
PEMDAS!
(2)^2+4(10)-3(8)
4+4(10)-3(8)
4+40-24
44-24
20
The value of group therapy for the treatment of mental health disorders is that an individual can __________. A. find comfort in talking with people that have similar experiences B. be a part of a group that allows one to hide his or her feelings C. borrow medication from other group members when needed D. none of the above Please select the best answer from the choices provided. A B C D
Answer: A. find comfort in talking with people that have similar experiences
Step-by-step explanation: A group can be considered to be a gathering which comprises of two or people working or coming together for a common purpose. In the aspect of mental psychology, the group method of applying therapeutic measures is usually applied which involves the coming together of a group of mentally or psychologically traumatized person with the aim of allowing members to share their experience among people who have gone through something simailr in other ot make them more comfortable while sharing their experience since all group members would have passed through something similar or worse. Hence, it gives patients more freedom to express themselves.
Answer: The answer would be A :3
Hope this helps :D
3. If 3 men or 4 women can earn 240
in a day, find out how much will 7
men and 11 women earns in 6 days?
Answer this !
Answer:
440
Step-by-step explanation:
240 divided by 6 is 40, 4 women. and 11 x40 is 440.
Answer:
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4. A treadmill is priced at $280.50. There is an 8% sales tax rate. What is the sales tax of the treadmill in dollars and cents?
Answer:
Step-by-step explanation:
280.50 * 8%
280.50 * .08%
=22.44 (sales tax rate)
Total= $302.94
What are the angles and lengths of the new ornament?
Answer:
the angles are the same but the lengths are now 15 feet
Step-by-step explanation:
similar shapes have the same angles and 1.5 x 10 is 15
Find the sum (c- 4) + (3c + 9)
Answer:
4c+5
Step-by-step explanation:
add the c values which is 4. then add all other values which is 5
I believe its
4c+5
If I'm wrong srry
quadratic equation in standard form
-x+13=3x
Which statement is not true about the line represented by the equation
PLZ HURRY
x + 2y = 14?
A,The slope is 1.
B.If x = 10, then y = 2
C.The y-intercept is (0, 7)
D. The x-intercept is (14, 0)
Answer:
A is false
Step-by-step explanation:
for what value of x is g(x)=5
The owner of Animal Lovers Pet Shop has a total of 153 parakeets in 3 cages. Could each cage hold the same number of parakeets? Explain how you found your answer.
Answer:
Sample Response: When you divide 153 by 3, there is no remainder. This means that 3 goes into 153 evenly and so there can be the same number of parakeets in each cage.
Answer:
he is right
Step-by-step explanation:
