Answer:
y=x+12
Step-by-step explanation:
y=-x+12; is a line with slope m1=-1
to find perpendicular slope of intersecting line take the negative inverse of m1. so -1*(1/(-1))=1=m2
use equation for a line of y=m*x+b and put in the point (-5,7) and solve for b=the y axis intercept
7=1*(-5)+b
7=-5+b
12=b
so
y=x+12
There are a total of 40 red, yellow or blue balls in a box. Each ball is marked with a number out of 1, 2, 3 and 4 on the side. The figure in the shaded area below each shows the number of balls in that category. For example, the number of red balls marked with the number "1" is 12. What is the minimum number of balls to be taken out of the box to ensure that you have at least one ball of each color and each marked number?
Answer:
9
Step-by-step explanation:
Question:
Minimum number of balls to ensure there is at least one ball of each colour marked with each number.
The quantity of distinct numbers are:
red: 4
Yellow 3
Blue 2
So the minimum number of balls to satisfy the given requirements is
4+3+2= 9
A steamer travels 36 km upstream and 32 km downstream in 6.5 hours. The same steamer travels 4 km upstream and 40 km downstream in 180 minutes. Determine the steamer's speed in still water and the stream's speed.
Answer:
The streamer's speed in still water is 90.23 km/h while the stream's speed is 33.33 km/h
Step-by-step explanation:
Let v = streamer's speed in still water and v' = stream's speed. His speed upstream is V = v + v' and his speed downstream is V' = v - v'.
Since he travels 36 km upstream, the time taken is t = 36/V = 36/(v + v').
he travels 32 km downstream, the time taken is t' = 32/V' = 32/(v - v')
The total time is thus t + t' = 36/(v + v') + 32/(v - v')
Since the whole trip takes 6,5 hours,
36/(v + v') + 32/(v - v') = 6.5 (1)
Multiplying each term by (v + v')(v - v'), we have
(v + v')(v - v')36/(v + v') + (v + v')(v - v')32/(v - v') = 6.5(v + v')(v - v') (1)
(v - v')36 + (v + v')32 = 6.5(v + v')(v - v') (1)
36v - 36v' + 32v + 32v' = 6.5(v² + v'²)
68v - 4v' = 6.5(v² + v'²) (2)
Also he travels 4 km upstream, the time taken is t" = 4/V = 4/(v + v').
he travels 40 km downstream, the time taken is t'" = 40/V' = 40/(v - v')
The total time is thus t" + t'" = 4/(v + v') + 40/(v - v')
Since the whole trip takes 180 minutes = 3 hours,
4/(v + v') + 40/(v - v') = 3 (3)
Multiplying each term by (v + v')(v - v'), we have
(v + v')(v - v')4/(v + v') + (v + v')(v - v')40/(v - v') = 3(v + v')(v - v') (1)
(v - v')4 + (v + v')40 = 3(v + v')(v - v') (1)
4v - 4v' + 40v + 40v' = 3(v² + v'²)
44v - 36v' = 3(v² + v'²) (4)
Dividing (2) by (4), we have
(68v - 4v')/(44v - 36v') = 6.5(v² + v'²)/3(v² + v'²)
(68v - 4v')/(44v - 36v') = 6.5/3
3(68v - 4v') = 6.5(44v - 36v')
204v - 12v' = 286v - 234v'
204v - 286v = 12v' - 234v'
-82v = -222v'
v = -222v'/82
v = 111v'/41
Substituting v into (2), we have
68v - 4v' = 6.5(v² + v'²)
68(111v'/41) - 4v' = 6.5[(111v'/41)² + v'²]
[68(111/41) - 4]v' = 6.5[(111/41)² + 1]v'²
[68(111/41) - 4]v' = 6.5[(111/41)² + 1]v'²
[7548/41 - 4]v' = 6.5[12321/1681 + 1]v'²
[(7548 - 164)/41]v' = 6.5[(12321 + 1681)/1681]v'²
[7384/41]v' = 6.5[14002/1681]v'²
[7384/41]v' = [91013/1681]v'²
[91013/1681]v'² - [7384/41]v' = 0
([91013/1681]v' - [7384/41])v' = 0
⇒ v' = 0 or ([91013/1681]v' - 7384/41) = 0
⇒ v' = 0 or [91013/1681]v' - 7384/41) = 0
⇒ v' = 0 or v' = 7384/41 × 16841/91013
⇒ v' = 0 or v' = 180.097 × 0.185
⇒ v' = 0 or v' = 33.33 km/h
Since v' ≠ 0, v' = 33.33 km/h
Substituting v' into v = 111v'/41 = 111(33.33 km/h)/41 = 3699.63 km/h ÷ 41 = 90.23 km/h
So, the streamer's speed in still water is 90.23 km/h while the stream's speed is 33.33 km/h
Does anyone know the answer to this ?!? ( links and answers that have nothing to do with the question will be reported.)
Answer:
the triangle was 2x scale (*2)
it was reflected across y=0
and translated x +2
Step-by-step explanation:
Find the missing interior angle in a triangle when one angle is 48 degrees, a second angle is Y+2 degrees, and the exterior angle is 2Y - 3 degrees?
Answer:
61°
Step-by-step explanation:
Angles in a straight line add up to 180°.
Also angles in a triangle add up to 180°.
See the image above.
Please help I’ll give brainliest
Answer:
6 ^ 6
Step-by-step explanation:
hope this helps!
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: C. \:{6}^{5} }}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] {6}^{2} \times {6}^{3} [/tex]
➺[tex] \: {6}^{2 + 3} [/tex]
➺[tex] \: {6}^{5} [/tex]
Note:-[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♬}}}}}[/tex]
Which congruence theorem can be used to prove ABDA - ABDC?
С
B
D
А
OHL
O SSA
O AAS
O SSS
Answer:
SSS
Step-by-step explanation:
Same Sides Subtract
The congruence theorem that can be used to prove that ΔBDA ≅ ΔBDC is: D. SSS
What is the SSS Congruence Theorem?The SSS Congruence Theorem is a theorem that proves that if one triangle has three sides that are congruent to the three corresponding sides of a another triangle, both triangles are congruent.
Thus, ΔBDA and ΔBDC both have three pairs of congruent corresponding sides, namely:
BD ≅ BD BA ≅ BCDC ≅ DATherefore, the congruence theorem that can be used to prove that ΔBDA ≅ ΔBDC is: D. SSS
Learn more about the SSS Congruence Theorem on:
https://brainly.com/question/25425647
Lin scored 18 marks in a test and Jon scored 12 marks.
Calculate Lin's mark as a percentage of Jon's mark
Answer:
=60
Step-by-step explanation:
18 + 12
=30
18/30 × 100%
=60
Please please help me please please help
Answer:
D
Step-by-step explanation:
Total ribbon left is 28 1/3 - 10 2/3= 86/3-32/3=54/3=18
What's the area of the shaded region?
Answer:
99cm²
Step-by-step explanation:
Area of shaded region=(area of outer rectangle)-(area of inner triangle)
Area of shaded region=(L×W)-(bh/2)
=(12×10)-((6×7)/2)
=120-(42/2)
=120-21
=99cm²
Larry runs a dog-walking service. He charges $5/h plus a flat fee of $6. One day, he earned $16. Determine which
equation represents this.
Answer:
5h+6=16
Step-by-step explanation:
He gets 6 dollars and for every hour he walks he gets 5 dollars so he must of walked dogs for 2 hours and plug it in you get your equation.
Answer:
5(2)+6=16
Step-by-step explanation:
That should be it! Contact me if you need to know why.
Young people ages 15-24 are accountable for ____ of the total costs of motor vehicle injuries.
10%
20%
30%
40%
Answer:
30%
Step-by-step explanation:
can someone pls pls help me?
Answer:
area is 320
Step-by-step explanation:
you do h_bb/b and the height is 20 ft and the base is 32 ft so you just plug it in
solve the system of equations y=2x-3 and y=x^2-3
I have attached some answers in the photos below hope you find them useful
Answer:
0 and 1
Step-by-step explanation:
Given :
[tex]y= 2x-3\\y=2x^{2} -3[/tex]
Now equate the both equation :
[tex]2x-3=2x^{2} -3[/tex]
2x=2[tex]x^{2}[/tex]
x-[tex]x^{2}[/tex]=0
x(1-x)=0
x=0
1-x=0
x=1
Therefore, x=0,1
The baker at The Bake Shop makes 24 muffins in 1 hour. How many muffins will the baker make in 5 hours?
Math item stem image
CLEAR SUBMIT
97 muffins
100 muffins
101 muffins
120 muffins
Answer:
120 muffins
Step-by-step explanation:
If The Bake Shop makes 24 muffins in one hour and we need to find out how many muffins will the bake make in five hours, we need to multiply 24 times 5 which would equal 120 muffins in five hours.
Hope this is helpful
force=1500 N pressure=6000 find the area contac
Answer:
[tex]Area = 0.25 \ m^2[/tex]
Step-by-step explanation:
Force = 1500N , Pressure = 6000
[tex]Pressure = \frac{Force}{Area }[/tex]
[tex]6000 = \frac{1500}{Area }[/tex]
[tex]6000 \times Area = 1500\\\\Area = \frac{1500}{6000} \\\\Area = \frac{1}{4} = 0.25 \ m^2[/tex]
Please help me solve my problem!!!
Answer:
The answer to this problem is True.
You are playing a game with your friend to see who can make the most baskets from the free-throw line. Each of you has 5 shots at the basket. How many ways are there for you to make exactly 4 shots?
A) 4
B) 5
C) 10
D) 6
Answer:
B) 5
Step-by-step explanation:
The given parameters are;
The number of shots at the basket = 5 shots
The number of ways to make exactly 4 shots is given by combination as follows;
The number of ways to shoot exactly 4 shots = ₅C₄ = 5!/(4!×(5 - 4)!) = 5
The number of ways to shoot exactly 4 shots = 5 ways
will someone help me on this please i really need this
Answer:
2.24
Step-by-step explanation:
the total surface area=
(3+10+5+10+6)×(20) + (2×3×24) + (2×½×(14+10)×3)
= 680 + 144 + 72
= 896 ft²
the paint will be needed at least :
896/400 × 1 gallon = 2.24 gallons
Is the graph increasing, decreasing, or constant? I need help with it!!
Answer:Decreasing
Step-by-step explanation:
The line is going down.
The given graph is decreasing. The correct option is A.
Increasing graph: A graph is considered increasing if it moves upwards as you move from left to right along the x-axis. In other words, the y-values increase as the x-values increase. This is often represented by a positive slope, where the line or curve ascends as it extends to the right.
Decreasing graph: A graph is considered decreasing if it moves downwards as you move from left to right along the x-axis. In this case, the y-values decrease as the x-values increase. It is represented by a negative slope, where the line or curve descends as it extends to the right.
Constant graph: A graph is considered constant if it remains flat and does not rise or fall as you move along the x-axis. The y-values do not change with increasing x-values, and this is represented by a horizontal line.
In given figure the line goes to downwards and the vales of y is decreasing for the increasing values of x.
Hence, the given graph is decreasing. The correct option is A.
Learn more about Graph here:
https://brainly.com/question/17267403
#SPJ6
In the diagram below, DE is parallel to xy. What is the value of x?
115
E
*
xº
Y
A. 115
B. 85
C. 105
D. 65
The measure of the angle x will be 65°. Then the correct option is B.
What is an angle?Corresponding angle – If two lines are parallel, then the third line. The corresponding angles are equal angles.
Linear angle – If the total of two angles is 180 degrees, they are said to be linear angles.
Let y be the corresponding angle of x and linear pair of 115°.
∠y + 115° = 180°
∠y = 65°
Then the angle y and angle x are corresponding angles. Then we have
∠x = ∠y
∠x = 65°
Then the correct option is B.
The complete question is given below.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ2
Answer: 65
Step-by-step explanation:
Help find x and angle BEC
Answer:
x = 32 and BEC = 43
Step-by-step explanation:
3X + 41 = 137
3X = 96
X = 32
FOR BEC:
137 + 137 = 274
360-274=86 ( ANGLES AROUND A POINT ADD UP TO 360)
86/2 = 43
BEC/AED = 43 ( VERTICALLY OPPOSITE ANGLES ARE EQUAL)
hope this helps good luck!
12 Rose and Haydn share £250 in the ratio 2:3
Rose gives all her share of the money to charity.
Haydn gives 42% of his share of the money to charity.
Rose gives more money to charity than Haydn gives to charity.
Work out how much more.
Answer:
Amount = £37
Step-by-step explanation:
Let Rose be represented by R.
Let Haydn be represented by H.
Given the following data;
Total amount = £250
Ratio of R:H = 2:3 = 2 + 3 = 5
To find how much Rose earned;
R = 2/5 * 250
R = 500/5
R = £100.
For Haydn;
H = 3/5 * 250
H = 750/5
H = £150
Next, we calculate the amount Haydn gave to charity;
Percent = 42% = 42/100 = 0.42
H = 0.42 * 150
H = £63
To find how much more Rose gave to charity than Haydn;
Amount = R - H
Amount = 100 - 63
Amount = £37
Which expression is equivalent to -51 - (-60)−51−(−60)
Answer:
18
Step-by-step explanation:
Always remember negative x negative = positive
-51-(-60)-51-(-60)
-51+60-51+60
9+9
18
I don't know what are the expressions but try yourself
Believe in yourself you can do it
Can someone help me? It's urgent and thank you!
Answer:
x = -9, 3
Step-by-step explanation:
you cross multiply
Answer:
[tex]x=-9[/tex] or [tex]x=3[/tex]
Step-by-step explanation:
Cross multiply:
[tex]3/x+6=x/9\\\\\\(3) * (9)=x*(x+6)\\\\\\27=x^{2} +6x[/tex]
Subtract x^2 +6x from both sides:
[tex]27-(x^{2}+6x )=x^{2} +6x-(x^{2} +6x)\\\\\\-x^{2} -6x+27=0[/tex]
Factor left side of the equation:
[tex](-x+3)(x+9)=0[/tex]
Set factors equal to 0:
[tex]-x+3=0[/tex] or [tex]x+9=0[/tex]
Therefore, [tex]x=3[/tex] or [tex]x=-9[/tex]
hope this helps.....
Kip has a collection of 68 marbles. Each glass marble has a mass of 18.5 grams. Each steel marble has a mass of 66 grams. What is the total mass of 48 glass marbles and 20 steel marbles in kilograms? PLS HELP!
Answer:
2.208 kg
Step-by-step explanation:
Total mass of glass marble
= 18.5×48
= 888 g
Total mass of steel marble
= 66×20
= 1320 g
Total mass of 68 marble including steel 20 and glass 48
= 888 + 1320
= 2208 g
In kilograms 2208
= 2.208 kg
Please mark as brainliest answer
23.45+ 435.1 =??? plz help me
Answer:
458.55
Step-by-step explanation:
23 + 435 = 458
.45 + .1(0) = .55
458 + .55 = 458.55
.1 is .10 (Think of it as a 10)
Evaluate expressions-
If x=3 what is the value of 8x+23?
A.47
B.93
C.208
D.61
Explanation:
We replace x with 3 and use PEMDAS to evaluate
8*x+23
8*3+23
24+23
47
Answer:
[tex]47[/tex]
Step-by-step explanation:
[tex]8x + 23[/tex]
[tex]8(3) + 23[/tex]
[tex]24 + 23[/tex]
[tex]47[/tex]
Hope it is helpful...The perpendicular room is 4m long, 3m wide and 2.5m high. They tiled and painted the interior walls of the room. How many square meters do they have to paint? Answer only
Answer:
35m^2
Step-by-step explanation:
4×2.5=10 10×2=20
3×2.5=7.5 7.5×2=15
20+15=35
Hope this helps! :)
A farmhouse shelters 10 animals. Some are pigs and some are chickens. Altogether there are 30 legs. How many of each animal are there? PLSS HELP!!
Answer:
theres 5 pigs and 5 chickens
Step-by-step explanation:
5 pigs 4 legs 5x4=20
5 chickens and 2 legs 5x2=10
20+10=30
human right violation
Answer:
A human rights violation is the disallowance of the freedom of thought and movement to which all humans legally have a right.
Step-by-step explanation:
