Answer:
b) The slope of line is 20
c) The equation in slope-intercept form is: [tex]\mathbf{y=20x}[/tex]
d) i) she would have travelled 1480 m after 74 s
ii) It will take 125 s to travel 2.5 km
Step-by-step explanation:
Part b: Slope of Line
Slope of line can be found using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table we can take any two points and find the slope.
Looking at the graph, the time is x-axis and distance is y-axis
Let we take (0,0) and (8,160)
So, we have: [tex]x_1=0, y_1=0, x_2=8, y_2=160[/tex]
Now finding Slope:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{160-0}{8-0} \\Slope=\frac{160}{8}\\Slope=20[/tex]
So, the slope of line is 20
Part c) Find the equation in slope-intercept form
The general equation of slope-intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept
We have found slope, m = 20
We need to find y-intercept.
y-intercept can be found by putting x-axis (time) equal to zero and check what the y-axis (distance) is:
So, when x =0, y=0
So, y-intercept = 0
The equation will be:
[tex]y=mx+b\\y=20x+0\\y=20x[/tex]
The equation in slope-intercept form is: [tex]\mathbf{y=20x}[/tex]
Part d)
Part i) How far will she have travelled after 74 s
We are given time (x) = 74 s
We need to find distance i.e. y:
Using the equation: [tex]\mathbf{y=20x}[/tex]
Put x = 74
[tex]y=20x\\y=20(74)\\y=1480[/tex]
So, she would have travelled 1480 m after 74 s
Part ii) How long will it take to travel 2.5 km
We are given distance (y) = 2.5 km
We need to find time i.e. x:
Using the equation: [tex]\mathbf{y=20x}[/tex]
Since distance is given in meters but here it is in km
So converting 2.5 km into m
We know that 1 km = 1000m
So, 2.5 km = 2500 m
Now finding time:
[tex]y=20x\\2500=20(x)\\x=\frac{2500}{20}\\x=125[/tex]
So, It will take 125 s to travel 2.5 km
Ella buys 5 packs of muffins. She uses a coupon and saves $3 off the total. Which expression represents her total cost?
A. 5m -3
B. 5 -3m
C.5+3
D. 5m + 3
Answer:
The answer is A. 5m - 3
Step-by-step explanation:
Ella bought 5 packs of muffins but since we don't know how many muffins are in each pack, we put a variable in place so it's 5m. Since she saved $3 off the total, that means you would subtract 3 from the total, so the problem would be 5m - 3
what does the solution to the system c,p reprent in this situation 5c+4p=18.40
2c+4p=11.20
Answer:
4 and 4/15=c. 2 and 2/15=p.
Step-by-step explanation:
I am younger than 12 i dont have much experience; done 2 or 3 problems like this...
first lets make it simpler...
2c+4p=11.20 is the same as c+2p=5.6
then subtract one from the other and you get 4c+2p=12.8
simplify again 2c+p=6.4
so the ratio of c to p is 2:1. Multiply 6.4 by 2/3 to get what c is... 64/15
64/15 is 4 and 4/15. then divide by 2 to get what p is so 64/15÷2=32/15 which is 2 and 2/15.
What is the solution to the system of equations?
Use the linear combination method.
{2x−3y=93x+5y=4
Answer:
fffffffffffffffffffffffffffffffffffffffffff
Step-by-step explanation:
Answer:
(3,-1)
I took the test, it said it was right.
can you guys please help i would appreciate it , 15 points ! please, i’ll mark you brainliest!
answer the 2 questions
sorry that's all I know
But I think is 12%that is my answer#carry on learningMacy Chapman - Answers to lea
1 invest £4600 in a bank account
paying
2.1%
compound interest. How much do I have in the account
after 5 years?
Answer:
£5083
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 2.1%/100 = 0.021 per year,
then, solving our equation
I = 4600 × 0.021 × 5 = 483
I = £ 483.00
The simple interest accumulated
on a principal of £ 4,600.00
at a rate of 2.1% per year
for 5 years is £ 483.00.
$1400 is divided between two accounts. One account pays $3%$ interest, while the other pays $4%$. At the end of the interest period, the interest earned was $50. How much was invested in each account?
Answer:
$60
Step-by-step explanation:
one of them got $40 and the other one $20
8
A school board voted whether to adopt new math books. Those that voted yes
out numbered those that voted no by a ratio of 5 to 1. If 18 school board
members voted, how many voted yes for new math books and how many
voted no?
Answer:
15 people voted yes and 3 people voted no.
Step-by-step explanation:
Given that:
Ratio of yes to no = 5 : 1
Total number of board members who voted = 18
Let,
x be the number of times.
5x+x = 18
6x = 18
Dividing both sides by 6
[tex]\frac{6x}{6}=\frac{18}{6}\\x=3[/tex]
People who voted yes = 5(3) = 15
People who voted no = 3
Hence,
15 people voted yes and 3 people voted no.
i need to know the answer
Answer:
A.
Step-by-step explanation:
Combine 7 and -3 to get 4
4+7xy is the answer
Answer:
Yes, you can combine the 7 and the -3. Simplified expression is 4 + 7xy
Step-by-step explanation:
2 questions for math?
Answer:
True
True
I am a Jedi
calculate the volume of a pentagonal prism with: side length = 16, apothem= 11cm, and height= 4cm
Answer:
:)
Step-by-step explanation:
The answer is ≈1761.76886
50 points! No wrong answers please! Will mark brainliest :)
Answer:
I'm pretty sure it's the 1 or tha last one
Answer:
[tex]y=\frac{1}{4}x-1[/tex]
Step-by-step explanation:
Parallel lines always have equal slopes. Therefore, this eliminates two options and we just need to find the y-intercept. Since the line passes through [tex](-4,-2)[/tex], we have:
[tex]-2=\frac{1}{4}(-4)+b,\\b=-1[/tex].
Therefore, the equation of the line is:
[tex]y=\frac{1}{4}x-1[/tex]
can someone please help me
PLEASE HELP!!!!! 25 POINTS!!!!!!
Answer:
The values of x and y that make the quadrilateral is a parallelogram are x = 12 and y = 21
Step-by-step explanation:
In the parallelogram, every two opposite sides are equal in lengthsIn the given figure
If DEFG is a parallelogram, then DE = GF and DG = EF
∵ DE = GF
∵ DE = 6x - 12 and GF = 2x + 36
→ Equate them
∴ 6x - 12 = 2x + 36
→ Subtract 2x from both sides
∵ 6x - 2x - 12 = 2x - 2x + 36
∴ 4x - 12 = 36
→ Add 12 to both sides
∵ 4x - 12 + 12 = 36 + 12
∴ 4x = 48
→ Divide both sides by 4
∴ x = 12
∵ DG = EF
∵ DG = 6y - 42 and EF = 4y
→ Equate them
∴ 6y - 42 = 4y
→ Add 42 to both sides
∵ 6y - 42 + 42 = 4y + 42
∴ 6y = 4y + 42
→ Subtract 4y from both sides
∵ 6y - 4y = 4y - 4y + 42
∴ 2y = 42
→ Divide both sides by 2
∴ y = 21
∴ The values of x and y that make the quadrilateral is a parallelogram are
x = 12 and y = 21
Does anyone get this?
Angles X and Y form a linear pair. If the measure of angle X = 3x + 127 and the measure of angle Y = 5x - 11, find the measure of angle Y.
A)8
B)29
C)53
D)161
8. Solve for x:
3x + 8x = 44
A x= 4
B x= 44/11
C x= 11
D x=33
Answer:A
Step-by-step explanation:
just try putting 4 into x and you will see
The function g(x) is graphed on the coordinate grid. What is the domain of g(x)?
Answer:
x[tex]\geq[/tex]5
Step-by-step explanation:
The domain is the function defined on your x-axis.
It starts from 5 and includes 5
so the domain is x[tex]\geq[/tex]5
?????????????????????????????
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
∠ABC = 60° , ∠BAC = 60° & ∠ACD = x °[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]
Value of x[tex] \underline{ \sf{∠ACD= ∠ABC\: + \: ∠BAC}}[/tex] { Exterior angle of a triangle is equal to sum of the two non - adjacent interior angles }
[tex] \sf{x \degree = 60 \degree + 60 \degree}[/tex]
[tex] \sf{x \degree = 120 \degree}[/tex]
[tex] \blue{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt x = 120 \degree}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
What is the equation of a line that is parallel to 2x +3y = 3 and passes through the point (3, -4) ?
Answer:
2x + 3y = -6
Step-by-step explanation:
The equation of the new line will be identical to that of the given line except that the constant term will differ.
Start with the given 2x + 3y = 3 and replace x with 3 and y with -4. We get:
2(3) + 3(-4) = C, and C = 6 - 12 = -6
The equation of the new line is therefore 2x + 3y = -6
1
What California law did the U.S. Supreme Court recently overturn?
A
a law that required minors to stop playing violent video games
B
a law that made it a criminal offense to sell violent video games
С
a law that banned violent video games from all stores in California
D
a law that barred stores from selling violent video games to minors
X^2+2x+1=4 complete the square
Answer:
[tex] {x}^{2} +2 x + 1 = 4 \\ {(x + 1)}^{2} = 4 \\( x + 1) = + 2 \: and \: (x + 1) = - 2 \\ \boxed{x = 1 \: and \: x = - 3}[/tex]
x= 1 or x= -3 is the right answer.Help cri cri will give brainly
Answer:
7/6
Step-by-step explanation:
trust me i promise this is right
A ship captain is mapping a trip and wants to know the distance the ship will travel over certain time intervals.
Assuming that the ship travels at a constant speed, what is its speed? Show your thinking. PLZ HELP
Answer: speed (s) = distance (d) divided by time (t)
Step-by-step explanation: You can see that every 30 minutes or 0.5 hours, the ship's distance increases by 12.5 miles. The problem even say the ship's speed is constant...so it doesn't matter which numbers you use for your calculation just used the time with the corresponding distance.
A total of 30 mothers baked cakes for a bake sale. Each mother baked 2 cakes. The bake sale
director found 35% of the cakes were chocolate. How many chocolate cakes were made for the bake
sale?
Part ?? of i need these
Answer:
You already have the answer so ima just get the points
Have a good night
I need some help ? Does anyone know this:)I’m new too this thats why im asking loll
Answer:
C≈31.42
Step-by-step explanation:
Radius=5 (10 divided by 2)
C=2πr
Brainly plss
Help!!! What is the difference ? (x - 8)/(3x) - (3x)/(x ^ 2)
Answer:
Given that you're providing only a single term, asking for a difference doesn't make a lot of sense. I assume you're asking to have the expression simplified?
If so, then it can be reduced to (x - 17) / 3x
Step-by-step explanation:
You can simplify by multiplying both terms each by a different ratio that equals one, but also gives the terms common denominator. Multiplying the first one by x²/x² and the second by 3x/3x will do that for you.
After that you can group the terms into one fraction and simplify:
[tex]\frac{x - 8}{3x} - \frac{3x}{x^2} \\\\= \frac{x - 8}{3x}\times\frac{x^2}{x^2} - \frac{3x}{x^2} \times\frac{3x}{3x} \\\\= \frac{x^3 - 8x^2}{3x^3} - \frac{9x^2}{3x^3} \\\\= \frac{x^3 - 8x^2 - 9x^2}{3x^3} \\\\= \frac{x - 8 - 9}{3x}\\\\= \frac{x - 17}{3x}\\[/tex]
Answer:
The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex] is [tex]\mathbf{\frac{x-17}{3x}}[/tex]
Step-by-step explanation:
We need to find the difference: [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]
Simplifying to find the difference:
[tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]
x is common in both 3x and x^2 so, we can cancel it out and we get:
[tex]=\frac{x-8}{3x}-\frac{3x}{x(x)}\\=\frac{x-8}{3x}-\frac{3}{x}[/tex]
Now, taking LCM of 3x and x we get 3x, We will multiply 3x with both terms and then solve we get:
[tex]=\frac{x-8-3(3)}{3x}\\=\frac{x-8-9}{3x}\\=\frac{x-17}{3x}[/tex]
It cannot be further simplified, so we get [tex]\frac{x-17}{3x}[/tex] as answer.
So, The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex] is [tex]\mathbf{\frac{x-17}{3x}}[/tex]
Asubmarine is only allowed to change its depth by rising toward the surface in 60-meter stages. It starts off at -340 meters.
1. At what depth is it after
1.1 stage
2. 2 stages
3.4 stages
2. How many stages will it take to return to the surface?
Answer:
stage 1 -280
stage 2 -220
stage 3 -160
stage 4 - 100
it takes 6 stages to return to the surface.
Step-by-step explanation:
Find the values of x and y. Write your answers in simplest form.
Step-by-step explanation:
by trigonometry,
cos 30 = x/12√3 =√3/2
→ x=18
sin 30 =y/12√3=1/2
→ y=6√3
The values of x and y are 18 and 10.392 respectively.
What are the right triangles?The definition for a right triangle states that if one of the angles of a triangle is a right angle - 90º, the triangle is called a right-angled triangle or simply, a right triangle. In the given image, triangle ABC is a right triangle, where we have the base, the altitude, and the hypotenuse. Here AB is the base, AC is the altitude, and BC is the hypotenuse.
Given right triangle
hypotenuse = 12√3
base = x and height = y
angle of base = 30°
cosФ = b/h
cos30 = x/12√3
x = 12√3 x √3/2
x = 18
and sin30 = p/h
sin 30 = p/12√3
p = 1/2 x 12√3
p = 6√3
p = 10.392
Hence the values of x= 18 and y = 10.392.
Learn more about right triangles;
https://brainly.com/question/29285631
#SPJ2
Help please and thank you!