A motorboat leaves a harbor and travels at an average speed of 8 mph toward a small island. Two hours later a cabin cruiser leaves the same harbor and travels at an average speed of 16 mph toward the same island. In how many hours after the cabin cruiser leaves will the cabin cruiser be alongside the motorboat
Answer:
2 hours.
Step-by-step explanation:
From the question given above, the following data were obtained:
Speed of motorboat (sₘ) = 8 mph
Speed of cabin cruiser (s꜀) = 16 mph
From the question given, we were told that the cabin cruiser started his journey 2 hours later after the motorboat has left.
Let t be the time for the cabin cruiser.
Thus, the time for the motorboat will be (2 + t)
Also, if the cabin cruiser and the motorboat must be along side each other, then their distance must be the same.
With the above information, we can obtain the time taken for the cabin cruiser and the motorboat to be along side each other. This can be obtained as follow:
Speed of motorboat (sₘ) = 8 mph
Time for motorboat (tₘ) = t + 2
Speed of cabin cruiser (s꜀) = 16 mph
Time for cabin cruiser (t꜀) = t
Distance of motorboat = distance of cabin cruiser
Recall:
Distance = speed × time
Therefore,
sₘ × tₘ = s꜀ × t꜀
8 × (t + 2) = 16 × t
Clear bracket
8t + 16 = 16t
Collect like terms
16 = 16t – 8t
16 = 8t
Divide both side by 8
t = 16 / 8
t = 2 hours
Thus, it will take 2 hours for the cabin cruiser and the motorboat to be along side each other.
The Barga school grows lettuce and other vegetables for school lunches. The school garden is 8.4 meters long and 6.4 meters wide. The section used to grow lettuce is 2.2 meters long and 0.8 meters wide. How many square meters of garden is not used to grow lettuce?
Answer:
(8.4 * 6.4) - (2.2 * 0.8)
Step-by-step explanation:
52 square meters of garden is not used to grow lettuce.
What is a rectangle?A rectangle is one of the types of quadrilaterals in which all four angles are right angles or equal to 90 degrees. It is four-sided polygon in which the opposite sides are parallel and equal to each other.
For the given situation,
The school garden is in the shape of the rectangle.
The school garden's length = 8.4 meters
The school garden's wide = 6.4 meters
The section used to grow lettuce, length = 2.2 meters
The section used to grow lettuce, width = 0.8 meters
Area of garden is not used to grow lettuce is
⇒ [tex][(8.4)(6.4)-(2.2)(0.8)][/tex]
⇒ [tex][53.76-1.76][/tex]
⇒ [tex]52[/tex]
Hence we can conclude that 52 square meters of garden is not used to grow lettuce.
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the average of three numbers is 1/5. Two of the numbers are 1/4 and 1/3. what is the third number?
Answer:
The third number is 1/60
Step-by-step explanation:
Let the denominator of the number = x
1/4 + 1/3 + 1/x = 1/5
1/4 + 1/3 = 3/12 + 4/12 = 7/12
The lowest common denominator is 60x.
(7/12 + 1/x)/3 = 1/5 Remember that this is the average of 3 numbers. That's what the 3 is doing on the left. Multiply both sides by 3
7/12 + 1/x = 3/5 Multiply through by 60x
35x + 60 = 36x
x = 60
Very nice problem. Thanks for posting. This problem is a little involved. If you have trouble with it, leave a note in the comments and I'll come back and discuss it.
look at pic 10 pts will mark brainilest
!! please help !!
A company sells each product they make for $78.00. They pay $2,700.00 in monthly costs, such as rent and bills, as well as $65.00 in manufacturing costs per unit. If the company sold 626 units last month, what was their total profit?
A. $46,063.00
B. $5,438.00
C. $37,990.00
D. $7,065.60
Answer:
B. 5438
Step-by-step explanation:
[(78-65)×626]-2700=5438
The correct option is, (B) 5438
Definition of profit:
In general, profit is defined as the amount generated from the sale of a product, which should be greater than the product's cost price. It is the amount gained from any business activity. In other words, if a product's selling price (SP) is more than its cost price (CP), it is deemed a gain or profit. It refers to the financial gain obtained when the revenue from a company activity exceeds the costs of running the business, such as taxes and expenses.
Profit formula:Profit is better expressed in terms of cost and sale price. The cost price of a product or commodity is the price at which it is purchased, whereas the selling price is the price at which it is sold. If the selling price of the commodity is more than the cost price, the company has made a profit. Profit or Gain = Selling Price – Cost Price is the formula for calculating profit.
However, when a product is sold for less than its cost price, it is referred to as a loss. As a result, loss equals cost price minus selling price.
According, to the question:
A business makes 78.00 per unit and pays 2,700.00 in monthly charges, such as rent and bills, plus 65.00 in manufacturing costs each unit. If the firm sold 626 units in the previous month.
[(78-65)×626]-2700
= 5438
Hence, The company's overall profit is 5438.
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Find the length of AB?
Given:
The figure of a right triangle.
To find:
The length of AB.
Solution:
In a right angle triangle,
[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]
Using this trigonometric ratio for the given triangle, we get
[tex]\cos A=\dfrac{AB}{AC}[/tex]
[tex]\cos (60^\circ)=\dfrac{AB}{10}[/tex]
[tex]\dfrac{1}{2}=\dfrac{AB}{10}[/tex]
[tex]\dfrac{1}{2}\times 10=AB[/tex]
[tex]5=AB[/tex]
Therefore, the length of AB is 5 units.
Pete’s Painting charges $25 per room to paint, plus an additional $0.50 per square foot that they paint. If they charged me $201 to paint my kitchen, how many square feet did they paint?
Answer:
352 square feet
Step-by-step explanation:
201-25=176
176/.50=352 square feet
Please help with c
Thanks ASAP
pyramid A: 16 + [tex]8\sqrt{5[/tex]
pyramid B: 400 + [tex]8\sqrt{125[/tex]
pyramid A: 4 by 4= 16 cm.
with a height of 1 and length of 2, we use pythagorean theorem to find height of other surfaces to be square root of 5. area of triangle is 1/2 bh
square root of 5 multiplied by 4 and divided by 2 is 2 root 5
multiply this by 4 sides total for 8 root 5
Add the 8 root 5 to 16
To find pyramid B: use ratio of 25:1 and multiply 16 by 25 to find 400, and root 5 to 125
Work out the size of the angle marked x
Give a reason for your answer to question 8
Answer:
30°
Step-by-step explanation:
x + 150° = 180°
(Linear pair angles)
x = 18.° - 150°
x = 30°
Reason: Linear pair angles
30°
Step-by-step explanation:
180°-150°=30°
a straight line is always equal to 180°
since we know that and we have the 150° given , all we have to do is to subtract 150 to 180 which is 30
i will be thankful if u helped me
Answer:
for question #33 is D because you have to find the one how much one of your angle is :)
and for question#34 is F
132.721 rounded to the nearest hundredth.
This question below.
CAN SOMEONE PLZZZ HELP ME? THIS IS DUE IN LIKE 5 MINUTES
Answer:
A and C
Hope this helps!!!! :)
What is 1 1/12+4 5/12 pls
Answer:
5 1/3 or 5.333 or 16/3
Step-by-step explanation:
Yespp
Step-by-step explanation:
1 1/12+4/512=5 6/12= 5 1/2
A door to a playhouse is 50 inches tall. Which of the following is another measure equal to the height?
A. 4 ft 2 in.
B. 4 ft 1 in.
C. 4 ft 1/2 in.
D. 5 ft
Answer:
i think it was A
GEOMETRY Can anyone help for brainly, this is one of five questions, a (rotation, reflection, or translation) of 90° (clockwise, or counterclockwise,) about the origin followed by a (rotation, reflection, or translation) (right, left, up, down) _ Unit (s)
Answer:
See below-
Step-by-step explanation:
It depends on if you are transforming O to P or P to O
O to P would be rotate counterclockwise translate down 4
using the point (-3,2) from P and it's corresponding point from O (6,3)
rotate 90 counterclockwise (x,y)--> (-y,x) From point O - (6,3)--> (-3,6)
so after the rotation that point would be at (-3,6) to get the point to (-3, 2) move it down 4. so it is translated down 4
if you are transforming O to P is would be the opposite
rotate 90 clockwise and translate up 4
Write a verbal sentence for x -18 = 24
Example: I had money but won $116 and ended up with a total of $505.
Answer:
I had a great quantity of apples and used 18 to make a large apple pie for my family and I, then I only had 24 left over.
Step-by-step explanation:
X in the equation represents the amount of apples I have at the beginning of the apple pie making process. Minus 18 represents the apples that are being used for the apple pie, so they are not there anymore. 24 represents the apples left over.
simplify -8f+2f+2f
please help me don't tell me links tell me the direct answer with explanation
Answer:
-4f
Step-by-step explanation:
-8f+2f=-6f then -6f+2f (since its a positive number) = -4f
Answer:
its easy its like adding
-4f
Step-by-step explanation:
add -8f and 2f
which equals -6f+2f
and then add those two
which then gives -4f
hope it helps!
Question 8
A rectangle has vertices at (0,0), (3,0), and (0,6). What is the area
of the rectangle?
I’ll mark you!
Answer:
18 square units
Step-by-step explanation:
The area of a rectangle is simply it's base length multiplied by its height.
A = b × h
Since a rectangle has all right angles, it must have two sets of parallel sides.
Given the coordinates (0, 0), (3, 0), (0, 6) which are vertices of the rectangle. You can find the distance between each point to get the side length and then multiply the two side lengths together.
i need a little help here
Answer:
D. The clinic opened at 7:30 A.M. and closed at 6:30 P.M.
Step-by-step explanation:
Pay attention to the times, and the amount of time the given location is open.
Only option D makes sense since the clinic open for 11 hours and the difference from the times given is exactly 11 hours; the other options are off, some give longer, and some give fewer amount of time.
Answer:
The clinic opened at 7:30AM and closed at 6:30PM
Step-by-step explanation:
The gragh shows The clinic opean 11 hours.
So It 7:30+11h= 18:30=6:30PM
SO This one is correct
Find the value for x.
Answer:
28.5
Step-by-step explanation:
The sum of the interior angles in a triangle is equal to 180
102 + x + 6 + x + 15 = 180
123 + 2x = 180 subtract 123 from both sides
2x = 57 divide both sides by 2
x = 28.5
May I get some help with this problem?
PLS HELP!!!!!!!!!!!
Answer:
x=100
Step-by-step explanation:
x+80=180...(angles on a straight line add up to 180 degrees )
x=180-80
x=100
Answer:
Vertical angles x= 100 sorry if i'm wrong
Step-by-step explanation:
graphing exponential functions and then State the domain, range and asymptote
9514 1404 393
Answer:
D: all real numbers
R: f(x) > 0
A: f(x) = 0
(-∞, 0), (+∞, +∞)
vertical stretch by a factor of 2; left shift 2 units
Step-by-step explanation:
The transformation ...
g(x) = a·f(b(x -c)) +d
does the following:
vertical stretch by a factor of 'a'horizontal compression by a factor of 'b'translation right by 'c' unitstranslation up by 'd' unitsFor many functions, horizontal coordinate changes are indistinguishable from vertical coordinate changes. Exponential functions tend to be one of those.
__
Using the above notation, you seem to have f(x) = 3^x, and g(x) = 2f(x+2). The transformation is a vertical stretch by a factor of 2, and a translation left 2 units.
__
As with all exponential functions, ...
the domain is "all real numbers"the range is all numbers above the asymptote: f(x) > 0the horizontal asymptote is f(x) = 0The function is a growth function, so ...
x → -∞, f(x) → 0x → ∞, f(x) → ∞_____
Additional comment
The left shift is equivalent to an additional vertical stretch. The function could be rewritten as ...
f(x) = 18(3^x)
with no left shift and a vertical stretch by a factor of 18 instead of 2.
Given: mEY=mYI mEXY=80, mK=25 Find: mEI
Answer: Its 140
Step-by-step explanation:
I do russian math too... :(
but ya I don't know how to do it.
Applying the angles of intersecting chords theorem, the measure of arc EI is: 140°.
What is the Angles of Intersecting Chords Theorem?Based on the angles of intersecting chords theorem, the measure of the vertical angle formed when two chords intersect equals half the sum of the measures of the intercepted arcs.
Given the following:
m∠EXY = 80°m∠K = 25°m(EY) = m(YI)m∠K = 1/2(2(EY) -m(JL))
25 = 1/2(2(m(EY)) -m(JL))
50 = 2(m(EY)) -m(JL)
m(JL) = 2(m(EY)) - 50
m∠EXY = 1/2(m(JL) + m(EY) [angles of intersecting chords theorem]
Substitute
80 = 1/2[2(m(EY)) - 50 + m(EY)]
2(80) = 2(m(EY)) - 50 + m(EY)
160 = 3(m(EY)) - 50
160 + 50 = 3(m(EY))
210 = 3(m(EY))
210/3 = m(EY)
m(EY) = 70°
m(EI) = 2(m(EY)) = 2(70)
m(EI) = 140°
Therefore, applying the angles of intersecting chords theorem, the measure of arc EI is: 140°.
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please help im stuck
Answer:
4
Step-by-step explanation:
You can find the slope of two points with the point slope form, [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
in this case, y2=8, y1=0, x2=3, x1=1
plug those numbers in
(8-0)/(3-1)
8/2, or 4
Bracelets use 1/4 yard of string and 10 charms. You have 9/10 yards string and 72 charms. If you use all the string what fraction of the 72 charms did you use?
Answer:
1/2 of the charms usedStep-by-step explanation:
Ratio of string and charms:
1/4 yard of string ⇒ 10 charms9/10 yard of string ⇒ xSolve by cross-multiplication
x = 10*9/10 ÷ 1/4x = 36 charmsThe fraction of all charms to number of used:
72/36 = 1/2The gene for black coat color (B) is dominant over the gene for brown coat color (b) What percent of the offspring are expected to have brown coat color as a result of a cross between a dog with black coat color (Bb and a dog with brown coat color (bb)? A:25 B:50 c:75 d:100 answer quick please!
Answer:
errrr- I dont know but good luck !
Step-by-step explanation:
Answer:
Most likely A
Step-by-step explanation:
Considering at the beginning it says the gene for back coat color is dominant, it makes brown coat color less dominant
pls help im so confused find m
Answer:
i think it is 47
Step-by-step explanation:
A middle school took all of its 6th grade students on a field trip to see a ballet. The students filled 1898 seats, which was 73% of the total number of seats in the theater. How many total seats were in the theater?
Answer:
2,600 seats
Step-by-step explanation:
x = total seats
1898 = .73x
x = 1898 / .73