Seventh grade > L.8 Solve percent equations: word problems JS6
Harold's Diner offers its clients a choice of regular and diet soda. Last night, the diner served
40 sodas in all, 10 of which were regular. What percentage of the sodas were regular?
Bearings Problem Solving Question:
From a lighthouse two boats can be sighted. Boat 1 on a bearing of 60° at a distance of 2km and Boat 2 on a bearing of 340° at a distance of 3km.
a) If Boat 1 is in need of assistance, what bearing would Boat 2 need to travel on to reach it?
b) Assuming Boat 1 does not move, how far would Boat 2 have to travel?
9514 1404 393
Answer:
a) 123.4°
b) 3.3 km
Step-by-step explanation:
In (N, E) coordinates, Boat 1 is located relative to the lighthouse at ...
2(cos(60°), sin(60°)) = (1.0, 1.732) . . . . . km
Boat 2 is located at ...
3(cost(340°), sin(340°)) = (2.819, -1.026) . . . . . km
So, relative to Boat 2, Boat 1 is located at ...
(1, 1.732) -(2.819, -1.026) = (-1.819, 2.758) . . . . . km
This is at a bearing of ...
arctan(2.758/-1.819) = 123.4°
and a distance of ...
√(1.819² +2.758²) ≈ 3.304 . . . . . km
a) Boat 2 would need to travel on a bearing of 123.4°.
b) Boat 2 would need to travel 3.3 km.
_____
Additional comment
We use (North, East) coordinates so we don't have to do the mental gyrations necessary to translate to and from (E, N) coordinates. The latter would correctly orient a map relative to the X-Y Cartesian plane. The former are equivalent to flipping the map over and looking at it from the back side. This is a "rigid transformation", so angles and distances remain unchanged.
what it the gcf (greatest common factor) of 48 and 96?
Answer:
8
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
The factors of 48 are 1,2,3,4,6,8,12,16,24,48;
The factors of 96 are 1,2,3,4,6,8,12,16,24,32,48,96
Walter lived 2 years longer than his brother Martin. Walter was 79 at the time of his death. Which equation could be used to find Martin's age, a, at the
time of his death?
O a + 2 = 79
O 79 + 2 = a
O 79 + a = 2
O a- 79 = 2
look at the photo to answer
17 POINTS!!!
Jessica had a group of friends over to celebrate her birthday. Each person ate 3/8 of a pizza. Five friends came over. What model would show the total amount of pizza Jessica's friends ate
1. x-y=1
x+y=-5
2. x-4y=10
2x+y=2
3. -5x+y=0
x+y=6
4. y=6-2x
y=4
5. 2y=16
4x-y= 4
6. x=y -4
3x+y=12
7. y- 2x=-6
5x-y= 9
8. 3y+x= 2
y-x=-6
Answer:
what is the question write it in thecomments and ill answer
Answer:
1.) (y+1)+y=-5
2y=-6
y=-3
x+(-3)=-5
x=-2
plug in to check if it works
2.) 2(4y+10)+y=2
9y+20=2
9y=-18
y=-2
x-4(-2)=10
x+8=10
x=2
3.) -5(-y+6)+y=0
5y-30=0
5y=30
y=6
x+(6)=6
x=0
4.) 4=6-2x
-2=2x
x=-1
y=6-2(-1)
y=8
5.) 4x-(8)=4
4x=12
x=3
4(3)-y=4
12-y=4
-y=-8
y=8
6.) 3(y-4)+y=12
4y-12=12
4y=24
y=6
x=6-4
x=2
7.) 5x-2x-6=9
3x=15
x=5
5(5)-y=9
25-y=9
-y=-16
y=16
8.)3(x-6)+x=2
4x-18=2
4x=20
x=5
y-5=-6
y=-1
hope this helped :)) also make sure to plug the x and y back into both equations :))
STOP!!!!. You have 500 cookies you baked 400 then then give 50 to some else you get 500 how much do you have.......... WILL GIVE BRAINLEST
Answer:
500
Step-by-step explanation:
500-400=100
100-50=50
500
one class of 28 students has a ratio of 3 girls to 4 boys. if this ratio holds true for the entire 6th grade of 140 students, how many girls are there
Answer: 105 girls because the ratio from girls to boys is 3:4 and that means that 3/4 are girls so 3/4 times 140 is 105
Step-by-step explanation:
Is it a function or not a function?
Answer:
Not a function
Step-by-step explanation:
there's two 9's
312.6÷100=
need the ansss
Answer:3.126
Step-by-step explanation: move the decimal however many zeros there are to the left
find the value of x plz
Need help quick Picture provided
r(x)=−x−7 when x=−2,0, and 5
Answer:
r(0) = -7
r(2) = -5
r(5) = -12
Step-by-step explanation:
HELPPP PLS !!!!!!!!!!!!!!!!!!!
Miguel has a ball of modeling clay that has a diameter of 3.5 centimeters. The cylindrical container it is placed in has a base area of 7.1 square centimeters and a height of 5 centimeters. What is the volume of empty space in the container?
Answer:
48.1 cubic meters or 48100000 cubic centimeters
Step-by-step explanation:
Firstly we need to find the radius.To find that we divide the diameter by two.3.5÷2=1.75
Volume of Cylinder=Pi×radius squared×height
Lastly 3.14×1.75×1.75×5=48.1
I hope this helps you in any way:)
What is the area of a square with side lengths of 3/5 units?
which is an answer to the following equation?
a/6 =7
1. a=13
2. a=1
3. a=42
4. a=1 1/6
Answer:
3. a =42
Step-by-step explanation:
2 ways you can go about this, you can either multiply 7x6 to get 42 as your answer. Or you can go through the options and divide each by 6 until eventually you'll find the one option that equals 7 which you would find is choice 3 a = 42
if two points pass through each other it will be function or if it doesn't pass
Answer:
If two points pass through each other it means that it is not a function. The vertical line test shown proves that fact.
Step-by-step explanation:
who is This Help me
what is the volume of this cylinder?
Answer:
volume of a cylinder is πr²h
ie
3.14 × 7× 7 × 11
you get
1692.46
At a middle school, 46 students have blonde hair. There are 230 students in the school. What percent of the students have blonde hair?
Answer:
20% of the students have blonde hair
Answer:
20%
Step-by-step explanation:
60 POINTS!! PLEASE HELP ASAP 4. Which statement is true about air pressure?
a. Changes in air pressure keep temperatures constant
b. Air pressure does not change with density
c. Air pressure is lower at the ground and higher as elevation increases
d. A higher temperature causes greater air pressure
Answer:
a. Changes in air pressure keep temperatures constant
Step-by-step explanation:
Hope it helps,
Pls mark me as the brainliest
Thank you
PLZ HELP!This is my only question left!!! plzzzzz
Answer:
12.84 degrees
Step-by-step explanation:
sin(x)=2/9
8. Jill bought a soda for $3 and eight candy bars. She spent a total of $43.
Answer:$5.00
Step-by-step explanation:
Let c = the cost of each candy bar
3 + 8c = 43
8c = 40
c = $5.00
Answer:
each candy bar costs 5 dollars
Step-by-step explanation:
43-3=50 and 40÷8=5
Sponsoring a donkey costs £2 a month. Which calculation will help Beth work out how many years she can sponsor a donkey for with £80. A) 80-2 X 12 B) 80/2 X 12 C) 80/12 ÷ 2. D) 12 X 2 ÷ 80
Answer:
B
80/2×12 becouse one year it costs 12×2 since its 12 months .
HELP URGENT BRAINLIEST
Given:
LMN is an equilateral triangle.
LM = LN = MN = 12 cm
To find:
The height of the triangle h.
Solution:
In a right angle triangle,
[tex]\sin \theta=\dfrac{Opposite}{Hypotenuse}[/tex]
[tex]\sin (60^\circ)=\dfrac{h}{12}[/tex]
[tex]\dfrac{\sqrt{3}}{2}=\dfrac{h}{12}[/tex]
Multiply both sides by 12.
[tex]\dfrac{\sqrt{3}}{2}\times 12=\dfrac{h}{12}\times 12[/tex]
[tex]6\sqrt{3}=h[/tex]
Therefore, the height of the triangle is [tex]6\sqrt{3}[/tex] cm.
Jocelyn said that the triangle below is not a right triangle. Her work is shown below. Explain what she did wrong and show Jocelyn the correct solution.
Jocelyn said that the triangle below is not a right triangle. Her work is shown below. Explain what she did wrong, and show Jocelyn the correct solution.
HELP , I WILL MARK U BRAINLIEST FLR CORRECT ANSWER
Answer:
I'm pretty sure you would need a battery...
through: (-3,-4) and (0,4)
Answer:
The slope = 8/3
Step-by-step explanation:
Let's find the slope between your two points.
(−3,−4);(0,4)
(x1,y1) = (−3,−4)
(x2,y2) = (0,4)
Use the slope formula:
m= y2−y1 / x2−x1
= 4 − −4 / 0 − −3
= 8/3
Answer:
m = 8/3
Graph:
hope this helps and is right :)