We want to compare two linear equations and answer some things in regards to these.
A) Your line should be steeper.B) your slope is $20 per week, your friend slope is $15 per week.C) Your friend wins $5 less than you per week.D) You must save for 9 weeks, your friend for 11 weeks.So we have two sets of data:
you: (2 weeks, $40), (5 weeks, $100)friend: (4 weeks, $60), (8 weeks, $120)A) First we want to compare the steepness of the lines, it will represent how much money you and your friend gets per week, a more steep line means a larger weekly income.
By the given points, you can see that you have an increase of $60 in 3 weeks, while your friend has an increase of $60 in 4 weeks, thus, your line should be steeper.
B) We know that for a line that passes through points (x₁, y₁) and (x₂, y₂) the slope is given by:
[tex]s = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So, for you, the slope is:
[tex]s_y = \frac{\$100 - \$40}{5 weeks - 2 weeks} = \$20\ per \ week[/tex]
For your friend the slope is:
[tex]s_f = \frac{\$120 - \$60}{8 weeks - 4 weeks} = \$15 \ per \ week[/tex]
C) Your friend saves $5 less than you per week.
D) You, by week 5, have $100
So you need to save another $65
And you save $20 per week, so we need to solve:
$20*x = $65
x = $65/$20 = 3.25
Rounding to the next whole number, x = 4
And this is 4 weeks after the 5th week, so you need to save for a total of 9 weeks.
For your friend, he has $120 at the 8th week, then he must save another $45, and he saves $15 per week, so we need to solve:
$15*x = $45
x = $45/$15 = 3
He must save for another 3 weeks, for a total of 11 weeks.
If you want to learn more about linear equations, you can read:
https://brainly.com/question/11897796
Im so sorry yall!!!!!
In a soccer game, sending the goalie up on a corner kick sometimes results in a goal and gives the team a one man advantage. Assume soccer teams do this about 20% of the time. Of the times that teams send a goalie up, 30% result in that team scoring in the next 40 seconds of the game. On the other hand, 10% of the times that teams do not send a goalie up for a corner kick results in that team scoring in the next 40 seconds of the game. A sports statistician wants to know the probability of a team sending a goalie up and scoring within 40 seconds. What is this probability?
Answer:
90% chance
Step-by-step explanation:
they need an extra man to help for the last point
What equivalent fractions for 2 3/5 and 1 1/3 using a common denominator
Answer:
The common denominator is 15.
2 3/5 = 13/5 = 39/15
1 1/3 = 4/3 = 20/15
Answer:
39/15 and 20/15
Step-by-step explanation:
Given function:
2 3/5 and 1 1/3to find the equivalent fraction for both fraction using common denominator..Rewrite 2 3/5 and 1 1/3 by a number that is equivalent to 5 and 3:
[tex]5,10,15[/tex] [tex]3,6,9,12,15[/tex]Multiply each numerator by how much times it turned into 15:
[tex]3[/tex]·[tex]3=9[/tex] [tex]1[/tex]·[tex]5=5[/tex]Simplfly the fraction terms:
[tex]2\frac{9}{15}=\frac{39}{15}[/tex] [tex]1\frac{5}{15}=\frac{20}{15}[/tex]Therefore, 39/15 and 20/15 is equivalent to 2 3/5 and 1 1/3.
answer asap pllsssssss
Answer:
the answer is 21x+11
Step-by-step explanation: hope this helps
Step-by-step explanation:
5(3x+3) + 2(3x-2)
15x + 15 6x - 4
15x + 16x + 15 - 4
21x + 11
Triangle ABC is similar to triangle A'B'C'. Calculate the length of side A'B'. Then check your
answer using a different method.
Answer:
A'B' = 7.5
Step-by-step explanation:
uhhh
AC = A'C'
4 = 6
×1.5
AB^2 = 4^2 + 3^2
AB^2 = 16 + 9
AB^2 = 25
AB = √25
AB = 5
A'B' = 5 × 1.5 = 7.5
The value of A'B' for the given congruent triangle will be 7.5.
What is congruence?If two figures are exactly the same in sense of their side of all things then they will be congruent.
If it is possible to superimpose one geometric figure on the other so that their entire surface coincides, that geometric figure is said to be congruent or to be in the relation of congruence.
As per the given congruent triangle,
In triangle ABC,
AB = √(3² + 4²) = 5
The ratio of the corresponding sides of the two triangles is the same.
A'B'/A'C' = AB/AC
A'B'/6 = 5/4
A'B' = 30/4 = 7.5
Hence "The value of A'B' for the given congruent triangle will be 7.5".
To learn more about congruence,
https://brainly.com/question/12413243
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PLEASE HELP
Your friend is looking at laptops for
college, and is comparing the different
screen sizes. If a laptop has a height of 6
in and a diagonal of 17.5 in, use the
formula below to find the width of the
laptop screen. Round your answer to the
nearest tenths place
17.5 = √6² + w²
17.5² = 36 + w²
306.25 = 36 + w²
270.25 = w²
√270.25 = w
16.4392822 = W
= w = 16.44 in
Bobby earns $72 for the day and $6 for each delivery he makes. He wants to make $150 in work day. How many deliveries must Bobby make to reach his goal?
Answer:
He needs to make 13 deliveries
The area of a rectangle is 20x2 - 27x- 8.
The length is 4x + 1. What is the width?
Answer:
5x - 8
Hope it helped :)
Answer:
5x-8
Step-by-step explanation:
im assuming you mean 20x^2 instead of 20x2 bc when you copy and paste it usually gets rid of the "^".
the area of a rectangle is length*width
so, to find the width, we have to solve the equation (4x+1)*width=20x^2-27x-8
the goal is to find (20x^2-27x-8)/(4x+1)
there is many ways to solve this: long division, synthetic division (easiest way)
but I'll just do guess and check
we know that the answer is in the form ax+b
we also know that b*1=-8 bc that's just how foiling works
We also know 4a=20
so, the answer is 5x-8
obviously you can check this answer if you are unsure of it being correct
(4x+1)(5x-8) = 20x^2-32x+5x-8 = 20x^2 - 27x - 8
so it does work
Multiply the complex numbers:
1: (1 - 4i)(3 - 3i)
2: (2 + i)(3 + 3i)
3: (-7i)(7i)(-7 - 8i)
Answer:
Step 1
Step 2: Simplify the powers of i, specifically remember that i2 = –1.
Step 2
Step 3: Combine like terms, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.
Step 3
Answer:
Step-by-step explanation:
1:-9 - 15 i
2: 12 + 6 i
3: -343 - 392 i
practice problem I need help
Answer:
21
Step-by-step explanation:
just put 21 ok that is the right answer
Answer:
r=21 (the second dot)
Step-by-step explanation:
To find r/3=7 we have to multiply 3*7
3*7=21
So r=21 because 21/3=7
Simplify
x^2-9/x^2+x-12
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Plz I really need help with this problem
Answer:
The area of the shaded portion is 450.185 in^2
Step-by-step explanation:
21^2+20^2=841
The square root of 841 is 29
29+20+21=70
70*1/2=35
35-29=6
35-21=14
35-20=15
The square root of 35*6*14*14=210
The area of the triangle is 210 in^2
The diameter of the circle is 29, so the radius is 14.5
14.25^2=210.25
210.25*3.14=660.185
660.185-210=450.185
need help asap will give brainly
Joanna earns $12 per hour at her job. Last week, joanna earns $432 use this information to answer the next questions.
The given question is incomplete. The complete question is:
Joanna earns $12 per hour at her job. Last week, joanna earns $432
use this information to answer the next question. Which equation can be used to determine the number of hours Joanna worked last week.
a. h+ 12 = 432
b. 432 h =12
c. 12 h = 432
d. [tex]\frac{1}{12} h=432[/tex]
Answer: c. 12 h = 432
Step-by-step explanation:
Given : Amount paid per hour = 12 $
12 $ are earned by Joanna by working for = 1 hour
Thus 432 $ are earned by Joanna by working for = [tex]\frac{1}{12}\times 432hour=36hours[/tex]
Thus the equation that can be used to determine the number of hours Joanna worked last week is [tex]12\times h=432[/tex]
Solve the system of equations by elimination.
2x - 9y = 23
5x - 3y = -1
*Be sure to enter your answers as a point
Answer:
Step-by-step explanation:
1. 2x - 9y = 23
2 x = 9 y + 23
y = (2 x)/9 - 23/9
2 x - 9 y - 23 = 0
2. 5x - 3y = -1
5 x + 1 = 3 y
y = (5 x)/3 + 1/3
5 x - 3 y + 1 = 0
I belive that should help you out a bit :D
Answer:
(x,y) = (-1/5 + 3v/5, -13/5+2v/15)
Step-by-step explanation:
A right prism has height 7½ and triangular bases with sides of length 5, 12, and 13 What is the: Total Surface Area of the Prism
Given:
A right prism has height 7½ and triangular bases with sides of length 5, 12, and 13.
To find:
The total surface area of the prism.
Solution:
We have,
Height of prism = 7½ = 7.5
Sides of triangular base are 5, 12, 13. These sides of Pythagorean triplets because
[tex]5^2+12^2=13^2[/tex]
[tex]25+144=169[/tex]
[tex]169=169[/tex]
So, the base of the prism is a right triangle.
Area of a triangle is
[tex]Area=\dfrac{1}{2}\times base \times height[/tex]
[tex]A_1=\dfrac{1}{2}\times 5\times 12[/tex]
[tex]A_1=30[/tex]
The area of the base is equal to the area of the top, i.e., [tex]A_2=30[/tex] sq units.
Perimeter of the base is
[tex]P=5+12+13[/tex]
[tex]P=30[/tex]
The curved surface area of the prism is
[tex]CSA=\text{Perimeter of the base}\times \text{Height of the prism}[/tex]
[tex]CSA=30\times 7.5[/tex]
[tex]CSA=225[/tex]
Now, the total area of the prism is
[tex]A=A_1+A_2+CSA[/tex]
[tex]A=30+30+225[/tex]
[tex]A=285[/tex]
Therefore, the total surface area of the triangular prism is 285 square units.
Which measurements are greater than 134 inches?
Answer:
C 4 yards
Step-by-step explanation:
random guess sorry.
Answer:
A is the answer!
Step-by-step explanation:
134 inches is equal to 3.7 yards
134 inches is equal to 11.1667 feet.
Javon spent %687 on pokemon cards. Energy cards cost $6 and dragon cards cost $5. If he bought a total of 127 packs then how many of each did he buy
Answer:
Javon purchase Energy cards = 52
Javon purchase Dragon cards = 75
Step-by-step explanation:
Given - Javon spent $687 on pokemon cards. Energy cards cost $6
and dragon cards cost $5.
To find - If he bought a total of 127 packs then how many of each did he buy ?
Proof -
Let Javon purchase Energy cards = x
Javon purchase Dragon cards = y
Now,
Given that he bought a total of 127 packs
⇒x + y = 127
Also,
Cost for 1 Energy card = $6
⇒Cost of x Energy cards = $ 6x
And
Cost of 1 Dragon card = $5
⇒Cost of y Dragon card = $ 5y
Now,
Given that Javon spent $687 on pokemon cards.
⇒6x + 5y = 687
∴ we get
x + y = 127 ..................(1)
6x + 5y = 687 .................(2)
Multiply by 6 in equation (1) , we get
6(x + y) = 6(127)
⇒6x + 6y = 762 .................(3)
Now,
Subtract equation (2) from equation (1) , we get
6x + 6y - (6x + 5y )= 762 - 687
⇒6x + 6y - 6x - 5y = 75
⇒y = 75
Now,
Put the value of y in equation (1), we get
x + 75 = 127
⇒x = 127 - 75
⇒x = 52
∴ we get
Javon purchase Energy cards = x = 52
Javon purchase Dragon cards = y = 75
(Choice A)
A
Equilateral triangle
(Choice B)
B
Isosceles triangle
(Choice C)
C
Right triangle
(Choice D)
D
Acute triangle
(Choice E)
E
Scalene triangle
(Choice F)
F
Obtuse triangle
Answer:
That is an obtuse scalene triangle
Step-by-step explanation:
Scalene- has no congruent sides
Obtuse - has an angle that is greater than 90
we can use Pythagorean theorem to confirm this
The Pythagorean theorem states that in an obtuse triangle the hypotenuse squared is greater than the two legs squared added together
so basically [tex]7^2>4^2+5^2\\7^2=49\\4^2=25\\5^2=25\\25+16=41\\49>41[/tex]
therefore it is an obtuse scalene
Answer:
(Choice E) E Scalene triangle and (Choice F) F Obtuse triangle
Step-by-step explanation:
Aside from E, Scalene triangle (as all the sides are of different lengths, we can assume that the angles will also be), the answer can either be B, Isosceles triangle or F, Obtuse triangle, so let's figure that out using the cosine rule! If it is an obtuse triangle, this means Angle ABC is bigger than Angle BAC and Angle BCA. But we can clearly see it is, as it's an Obtuse Triangle is a triangle where 1 angle is bigger than 90 degrees. Let's work out Angles BAC and BCA to find out if the triangle is obtuse or isosceles.
[tex]a^{2} = b^{2} +c^{2} -2bcCosA[/tex] This is the cosine rule formula. Now all we need to do is substitute in the values. We are using the cosine rule because we aren't given any angle values. We use Further Trigonometry instead of SOHCAHTOA as this clearly isn't a right-angled triangle. SOHCAHTOA only applies to triangles with a 90 degree angle, also known as a right-angled triangle. Let's rearrange the cosine formula so that we have everything equal to A instead.
[tex]A = cos^{-1}(\frac{b^{2} + c^{2} - a^{2} }{2bc})[/tex]
We will work out BAC first.
a = 5
b = 4
c = 7
[tex]A = cos^{-1}(\frac{4^{2} + 7^{2} - 5^{2} }{2(4)(7)})[/tex]
A = 44.4 rounded to 3 significant figures
Next, we will work out BCA.
a = 4
b = 5
c = 7
[tex]A = cos^{-1}(\frac{5^{2} + 7^{2} - 4^{2} }{2(5)(7)})[/tex]
A = 34.0 rounded to 3 significant figures
The answer is F, Obtuse triangle and E, Scalene triangle
If we just worked out BAC, we would have noticed that by assuming BCA was also 44.4, the obtuse angle would be 91.2 degrees, which is barely above 90 degrees, therefore we would have correctly guessed the triangle as obtuse from there-on. I just worked out BCA as evidence to support that Triangle ABC cannot be isosceles, therefore we can eliminate that option and classify this triangle as Obtuse.
I hope my explanation helps!!
help me, will give money at this point.
Answer:
3a- 4/9
3b- 2/9
3c- 0/9
4a- it is unlikely to take the bus
4b- the show is gonna be on tonight.....or certain to happen
4c- there is a even chance of flipping tails
4d- i would say it is an even chance or unlikely
4e- likely to have milk
Step-by-step explanation:
A theoretical probability is the probability of an event to have or you could say number of outcomes over number of total possible outcomes
Answer this - 3 - 3 (+2)
Answer:
-3-6= -9
.......................
Answer:
if you mean -3-3 +2 then it is -4
if you mean -3-3(2) then it is -9
Step-by-step explanation:
What is the distance between points A and B? Use absolute value to explain your answer.
Answer
(1,2)
Step-by-step explanation:
Answer:
6,3
Step-by-step explanation:
Please help! I have been working for hours and I-
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
40 points!~
Answer:
7 is C
8 is B
9 is C
Step-by-step explanation:Focus on your class please
Answer:
1. C
2. A
3. C
Step-by-step explanation:
PLEASE HELP QUICKLY!!!
Which one is it?
Need help.
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
for every one day there is a distance of 50 miles, therefore you multiply the days (T) by 50 to get your distance
help please!!!!!!!!!!!! i will give brainliest for right answer!!!! Question is on image below.
Answer:
x=12
Step-by-step explanation:
Because they are similar triangles you can set up proportions. 12/18=8/x Then you solve that and get 12.
Write an equation to describe the relationship between a and b.
Answer:
I think the answer would be :
b = 0.375 a
Hope it was helpful for you ^^ .
the original price of an item is $80. what is it's selling price after the store adds a markup on 60%
Answer
$128
Step-by-step explanation:
Okay well if $80 is 100% then 60% is 48 dollars.
so 80 +48=128
after how many audio books will both book clubs cost the same amount.
Answer:
2 books
Step-by-step explanation:
10 + 5x = 16 + 2x
- 2x - 2x
10 + 3x = 16
-10 -10
3x = 6
/3 /3
x = 2
Can someone help me with this one?
Describe how to graph the line y=2/3x+5