Answer:
4 mph
Step-by-step explanation:
Let :
Boat speed = 20 mph
speed of current = x mph
Distance against current = 2 miles
Distance with current = 3 miles
speed against current will be ; 20 - x
speed with current will be ; 20 + x
Time =distance / speed against time against = time with current
Solving Mathematically ;
2/(20-x )=3/(20 +x)
2(20+x )= 3( 20-x )
40+2x = 60-3x
3x +2x=20
5x=20
x = 20 / 5
x = 4 mph
Speed of current = 4 mph
Which equation represents the graph ?
Answer:
The equation of the line is;
y + 4 = 3(x + 4)
Step-by-step explanation:
The general equation of a line is;
y = mx + b
where m is the slope and b is the y-intercept
To get the equation, let us look at the given intercepts
We have the intercepts at the point (0,5) and (-2,-1)
We have the slope of the line as follows;
m = (y2-y1)/(x2-x1) = (-1-5)/(-2-0) = -6/-2 = 3
So we have the equation as;
y = 3x + b
recall, we have the y-intercept as 5
so the complete equation is;
y = 3x + 5
Now, we can rewrite this as;
y+ 4 = 3(x + 3)
area of triangle with
width= 18cm
breadth=14cm
height=11cm
Answer:
99
Step-by-step explanation:
i have all the steps in the comments of ur question
During one month, a homeowner used 300 units of electricity and 120 units of gas for a total cost of $114.00. The next month, 290 units of electricity and 150 units of gas were used for a total cost of $115.30. Find the cost per unit of gas.
$_____
Answer:
$0.15Step-by-step explanation:
Cost of electricity = xCost of gas = yBased on the given, we have equations:
300x + 120y = 114290x + 150y = 115.30Multiply the first equation by 29 and the second one by 30, then subtract the first equation from the second:
30*(290x) - 29(300x) + 30(150y) - 29(120y) =30(115.3) - 29(114)4500y - 3480y = 1531020y = 153y = 153/1020y = 0.15The cost per unit of gas is $0.15
In triangle ABC, the bisectors of angle A, angle B, and angle C cut the opposite sides into lengths a1, and
a2, b1, and b2, and c1 and c2, respectively, labeled in order counterclockwise around triangle ABC for
a1 = 5/3, a2 = 10/3,b1 = 15/4. Find the perimeter of triangle ABC.
Question
In triangle ABC, the bisectors of angle A, angle B, and angle C cut the opposite sides into lengths a1, and
a2, b1, and b2, and c1 and c2, respectively, labeled in order counterclockwise around triangle ABC for
a1 = 5/3, a2 = 10/3,b1 = 15/4. Find the perimeter of triangle ABC.
Step-by-step explanation:
WILL GIVE BRAINLIEST!!
Hazeline Allen's mortgage loan amount is $87.750. She financed her house
for 30 years with monthly payments of $725. At the end of 30 years, what
will be the total amount Hazeline will pay for the house? *
a $116,115
b $152,725
c $173,250
d $261,000
Answer:
Letter C
Step-by-step explanation:
trust me its right!
so lets say you randomly draw twice from the deck of cards D F H G H
What is the probability of drawing an F, then drawing an H Without replacing the first card?
Answer:
hshysywyyw6w6wywhwhwqhhwhwhh
Step-by-step explanation:
vejejjeejjejejejfjj237 68672_773837 8282×786766
bbdjdjejjefu8du uwj udej hbvv jjj un jududjdj8
Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 5 hours of burning, a candle has a height of 21.5 centimeters. After 21 hours of burning, its height is 16.7 centimeters. What is the height of the candle after 15 hours?
Answer:
The height is 18.5cm
Step-by-step explanation:
Given
Let
[tex]y =height[/tex]
[tex]x = time[/tex]
So, we have:
[tex](x_1,y_1) = (5,21.5)[/tex]
[tex](x_2,y_2) = (21,16.7)[/tex]
Required
The height after 15 hours
First, calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
This gives:
[tex]m = \frac{16.7-21.5}{21-5}[/tex]
[tex]m = \frac{-4.8}{16}[/tex]
[tex]m = -0.3[/tex]
The linear equation is then calculated as:
[tex]y =m(x - x_1) + y_1[/tex]
Where
[tex]m = -0.3[/tex]
[tex](x_1,y_1) = (5,21.5)[/tex]
This gives:
[tex]y =-0.3(x - 5) + 21.5[/tex]
Open bracket
[tex]y =-0.3x + 1.5 + 21.5[/tex]
[tex]y =-0.3x + 23[/tex]
After 15 hours
[tex]x = 15[/tex]
[tex]y =-0.3*15 + 23[/tex]
[tex]y =-4.5 + 23[/tex]
[tex]y =18.5[/tex]
The height is 18.5cm
36 POINTS! PLEASE HELP!!!! PLS-
Use ⊙N with KL≅JM.
What is JM?
a) 17
b) 30
C) 15
d) 8
Answer:
you correct answer should be 17
70+Points please help
Answer:
Step-by-step explanation:
(x-1)(x+3)(x-9)(x+1)(x-9)(x+1)(x+1)
the above works out. but not sure what other choices you had in the answer
Answer:
(x-1)(x+3)(x-9)(x+1)(x-9)(x+1)(x+1)
Step-by-step explanation:
please help me graph the equations y=3x and 6x+2y=12
also please tell me the coordinates
Answer:
The coordinates are x=1 y=3
Step-by-step explanation:
Jordan and 4 of his friends are are riding in a car. What is the probability that Jordan is in the front passenger seat?
Answer:
0.20 or 20%
Step-by-step explanation:
We already know that (assuming we aren't counting a car that has seats in the truck area) there are five possible spots to sit in: the driver's seat, the front passenger (famously known as "shotgun"), middle/back left passenger, middle/back right passenger, and middle/back middle passenger.
By dividing 1 from 5 (1/5) you get a 20% chance of sitting in shotgun.
So, not that high, but its better than nothing.
Hope this helped!
Source(s) used: G*ogle Calculator
Answer:
20%
Step-by-step explanation:
Notes for proportional relationships can you give me notes to write down lol
Answer:
Step-by-step explanation:
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".
A) Work out the size of angle x. B) Give reasons for your answer.
Answer:
X=105
reason beng corresponding angle
Answer:
75
Step-by-step explanation:
Please Answer!
Options: Parallelogram, Triangle, Trapezoid
Answer:
9 x 7 = 63 <---- Parallelogram
10 x 6.8 = 68, 68 divided by 2 = 34 <------- Triangle
13 + 15 = 28, 28 x 6 = 168, 168 divided by 2 = 84 <------- Trapezoid
The trapezoid has the greatest area.
Formula of trapezoid:
B1(base 1) + B2(base 2) x H (height) x 1/2 (basically dividing by 2)
Formula of triangle:
B(base) x H(height) x 1/2 (basically dividing by 2)
Formula of Parallelogram:
B(base) x H(height)
Hi y’all can y’all help me please I’m not sure If it’s correct
Answer:
3rd option, you are correct
Step-by-step explanation:
A tangent is a straight line with only 1 point of contact to the circle.
This is the case at points R and Z
Answer:
3rd option just to reassure everyone
Please show the work as well 5TH GRADE MATH
Answer:
[tex]9450 {m}^{3}[/tex]
Step-by-step explanation:
Given ,
Length of the tank = 27m
Width of the tank = 35m
Depth of the tank = 10m
Therefore,
Volume of the tank = Length × Width × Depth
= 27m × 35m × 10m
[tex] = 9450 {m}^{3} (ans)[/tex]
Answer:
9450
Step-by-step explanation:
volume = length x width x height=27 x 35 x 10
Which part of this graph shows a linear relationship?
Answer:
It would be D
Step-by-step explanation:
Please Help me with this question
What is the area of this triangle?
Answer:
1/2bxh (half a base times the height)
Step-by-step explanation:
Answer:
[tex]8[/tex]
Step-by-step explanation:
[tex]\frac{bh}{2}=A\\\\\frac{4\times4}{2}=A\\\\\frac{16}{2}=A\\\\8=A\\\\A=8[/tex]
HELP ME PLEASE! I need to find the Interquartile range of : 0,0,0,1,1,3,3,3,4,4,4,6,6,7,7,7,8,8,9,10
Answer:
The interquartile range is 5
Can someone please me
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The various forms of the expression use the relation ...
-5 1/4 = -5 + -1/4 = -(6 -3/4) = -6 +3/4
Of course, the minus sign in a product can be moved around according to the associative and commutative properties of multiplication.
(8)(-5 1/4)
= (8)(-5 + -1/4)
= 8(-5) +8(-1/4)
= 8(-5) -8(1/4)
= 8(-6 +3/4)
Attached is the non-equivalent expression.
A rectangular garden is 16 feet by 30 feet. Vivian wants to build a fence along the diagonal of the garden. How long does the fence need to be?
Answer:https://youtu.be/QZ_a8VXhiSc?t=187
Step-by-step explanation:https://youtu.be/BX0K5IfPMOA?t=144
Find the missing probability.
P(A) = 0.4; P(B) = 0.7; P(A or B)
; P(A and B) = 0.3
Given:
[tex]P(A)=0.4, P(B)=0.7, P(A\text{ and }B)=0.3[/tex]
To find:
The value of [tex]P(A\text{ or }B)[/tex].
Solution:
We know that,
[tex]P(A\text{ and }B)=P(A\cap B)[/tex]
[tex]P(A\text{ or }B)=P(A\cup B)[/tex]
It means, we have [tex]P(A)=0.4, P(B)=0.7, P(A\cap B)=0.3[/tex] and we need to find the value of [tex]P(A\cup B)[/tex].
[tex]P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]
[tex]P(A\cup B)=0.4+0.7-0.3[/tex]
[tex]P(A\cup B)=1.1-0.3[/tex]
[tex]P(A\cup B)=0.8[/tex]
Therefore, the value of [tex]P(A\text{ or }B)[/tex] is 0.8.
You have 160 songs on your playlist. The probability of randomly choosing a rock song is 30%. How many of the songs on your playlist are not rock songs?
A. 48
B. 112
C. 30%
Answer:
Hello! Answer: B
Step-by-step explanation:
Because 112 is 70% of 160
The answer is A. 48
looked it up.
John can play 12 songs on the guitar and he
learns 1 new song each week. Aiden can play 4 songs.
but he learns 2 each week. How many weeks (w) will it
be before Aiden knows as many songs as John?
Answer:
8 weeks
Step-by-step explanation:
Let
w = number of weeks
John = 12 + w
Aiden = 4 + 2w
How many weeks (w) will it be before Aiden knows as many songs as John?
Equate both John and Aiden expression
John = Aiden
12 + w = 4 + 2w
Collect like terms
12 - 4 = 2w - w
8 = w
w = 8 weeks
It will take 8 weeks before Aiden knows as many songs as John
Awnser question and show your work if you can (i will give brainliest
Answer:
answer is -1.75
Step-by-step explanation:
[tex]y = 12 \\ y = - 4x + 5 \\ \\ \: \: \: \: 12 = - 4x + 5 \\ - 5 \: \: \: \: \: \: \: \: \: \: \: - 5 \\ \\ 7 = - 4x \\ \div - 4 \: \: \: \: on \: both \: sides \\ \\ - 1.75 = x[/tex]
please answer question 5 on the picture tysm xx
I think it's easier to not factor it, so we will be using formulas.
-b/2a=x
6/2=3=x
y=-25
(3,-25)
Twenty boxes of paper weights 460 pounds. What is the ratio of boxes to pounds?
Answer:
1:23
Step-by-step explanation:
20 / 460
= 1 / 23
= 1:23
Eighty-one million four hundred twelve thousand six hundred fifty
Answer:
81,412,650
Step-by-step explanation:
im not sure if this is what ur asking for??
D + -4 = 12
how do i find d?
Answer: D=16
Add 4 to both sides
D=16
Answer:
Answer: 16
Step-by-step explanation:
Do 12 -(-4 to get D
12 -(-4 = 16