Answer:
16 mph
Step-by-step explanation:
You want the speed of a boat in still water if it travels 28 miles upstream in the same time it travels 36 miles downstream in a river that runs 2 mph.
TimeThe relation between time, speed, and distance is ...
t = d/s
If we let b represent the boat speed, the two identical times give the relation ...
28/(b -2) = 36/(b +2)
Solution28(b +2) = 36(b -2) . . . . cross multiply
28b +56 = 36b -72 . . . . eliminate parentheses
128 = 8b . . . . . . . . . . . . add 72 -28b
16 = b . . . . . . . . . . . . divide by 8
The speed of the boat is 16 mph.
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Tegan is checking her tax bill for the last year
the tax rates were as follows:
•no tax on the first £11000 of earnings
•earnings in excess of £11000 and up to £43000 taxed at a rate of 20%
•earnings in excess of £43000 and up to £150000 taxed at the rate of 40%
last year Tegan earned £48300 before tax
how much did she pay in total?
Multiplication is the process of multiplying. The total tax of Tegan's earnings will be £8,520(£6,400+£1,200).
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Since there is no tax for the first £11,000, therefore, the earnings upto £11,000 will be tax-free.
The amount of tax for the income of £11,000 to £43,000, will be,
20% of (£11,000 to £43,000)
= 20% × (£43,000 - £11,000)
= £6,400
The amount of tax for the income of £11,000 to £150,000, will be,
40% of (£43,000 to £48,300)
= 40% × (£5,300)
= £2,120
Hence, the total tax of Tegan's earnings will be £8,520(£6,400+£1,200).
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Answer:
£8520
Step-by-step explanation:
How many degrees does a minute hand move in 45 minutes?
Answer:
270°
Step-by-step explanation:
Complete angular measurement of clock = 360°No. of minutes in one hour = 60 Angle moved in one minute = 360°/60 = 6°Angle moved in 45 minutes = 45*6° = 270°
A paper plate has a diameter of 9 inches. What measure is closest to the area of the plate?
Answer:
63.62 inches squared
Step-by-step explanation:
The formula for the area of a circle is πr^2
r (Radius) is half of the diameter
r = 9/2
r = 4.5in
π x 4.5^2=
π x 20.25 = 63.6172512352
to 2 dp: 63.62 inches squared.
Answer:
The area of a plate with a diameter of 9 is 63.585
Step-by-step explanation:
A = πr² use 3.14 as pi
r = [tex]\frac{1}{2}[/tex] d
[tex]\frac{1}{2}[/tex] × 9 = 4.5
r = 4.5
A = 3.14 × 4.5²
A = 3.14 × 20.25
A = 63.585
Hope this helps!
Nico is planting grass in his backyard. He is using 1 foot grass squares and has to cover an area that is 24 feet long and 20 feet wide. How many 1 foot squares does Nico need
Answer:
480 tiles
Step-by-step explanation:
First we will find the area of Nico's backyard
Formula for area of a rectangle is length * width
24ft * 20ft = 480ft²
This means Nico will need 480 1ft² tiles
That is your answer
- Kan Academy Advance
6=3n/5
thats the equation and i need to find out what n is
Answer:
n=10
Step-by-step explanation:
6=3n/5
multiply both sides by 5
30=3n
divide both sides 3
10=n
PLEASE HELP ILL MAKE YOU THE BRAINIEST!! For what value of X must ABCD be a parallelogram?
Answer:
because angle DCA is equal to angle CAB so side DC is parallel to side AB=> DCAB is a parallelogram=> 20x-7=15x+3=>x=2
What is the gradient of the graph shown?
Give your answer
simplest form
please help urgently
18 people are trying out for a soccer team. How
1
I goalie,
many different ways could you choose
5-defenders, 6 midfielders, and 3 forwards?
Answer:
Using arrangements with repetitions, it is found that they can be grouped in 46,200 ways.
What is the arrangements formula?
Step-by-step explanation:
The weather forecast warns of morning fog today.
You may only be able to see 0.6 miles in front of you.
How many feet is this?
Answer:
ANSWER ✏️3168[tex] \: \: \pink{\bold{\underline{\underline{ ☛explanation}}}}[/tex]
.
lmile=5280 feet 50 0.6mile =3168 feet
#WOULD have helped
#CARRY ON LEARNING
#BRAIN-LIEST
correct my answer in case it is wrong
The coordinates of quadrilateral jklm plotted on a coordinate plane are j(-2,3), k(3,7), l(6,5) and m(1,1).
enter a number in the box to complete the sentence.he perimeter of the quadrilateral is 90units. round your answer to the nearest tenth.
The perimeter of quadrilateral JKLM with the given coordinates is approximately 20.0 units.
What is the Perimeter of a Quadrilateral?Perimeter of a quadrilateral = sum of all four sides of the quadrilateral.
Given the coordinates of quadrilateral JKLM as:
J(-2,3)K(3,7)L(6,5)M(1,1)Use the distance formula, [tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex], to find each segment of the quadrilateral .
JK = √[(3−(−2))² + (7−3)²]
JK = √41
JK ≈ 6.4 units
KL = √[(3−6)² + (7−5)²]
KL = √13
KL ≈ 3.6 units
LM = √(1−6)² +(1−5)²]
LM = √41
LM ≈ 6.4 units
JM = √(1−(−2))² + (1−3)²]
JM = √13
JM ≈ 3.6 units
Perimeter of quadrilateral JKLM = 6.4 + 3.6 + 6.4 + 3.6 = 20 units.
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Label the X-axis and yaxis
Answer:
The y axis is the vertical line which goes up and down the x axis is the horizantal line which goes side to side or straight across
Step-by-step explanation:
A class has 45 students. Each student has either 5 dollars or 2 dollars. Which Which situation results in the class having an average of 3 dollars per student
Step-by-step explanation:
an average of $3 per student would mean
sum(all students $) / 45 = 3
sum(all students $) = 3×45 = 135
x students have $5.
therefore (45-x) students have $2.
5x + 2(45-x) = 135
5x + 90 - 2x = 135
3x = 45
x = 15
so, 15 students have $5, and 45-15 = 30 students have $2.
Dave loves underwater diving. His house boat is 250 feet above sea level. He jumped from that level. He went 600 feet below sea level. How many feet did Dave go under the water?
Answer:
600 feetStep-by-step explanation:
I would just like to explain how this works with a visual (please enjoy my drawing <3 haha)
With my drawing we know that the bird is 150 feet above sea level, and the fish is 100 feet below sea level.
From the bird to the water it is 150 feet, from water to fish is 100 feet
From the bird to the fish it is 150 feet + 100 feet
This is equal to 250 feet,so we know from the bird (150 feet above sea level) to the fish(100 feet below sea level).
Knowing this information we can easily answer this questionDave is 250 feet above sea level, and he went 600 feet nelow sea level, meaning he only went 600 feet under the water.The manufacturer of a fertilizer guarantees that, with the aid of the fertilizer, 80% of planted seeds will germinate. Suppose the manufacturer is correct. If 10 seeds planted with the fertilizer are randomly selected, what is the probability that more than 7 of them germinate
The Probability of that more than 7 of them germinate is 0.2948.
What is Probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1.We are to determine the probability that more than 7 of 10 seeds (i.e. 8, 0r 9 0r 10) germinate.
The probability that all 10 seeds germinate is equal 0.80¹⁰= 0.1073 = 10.73%.
The probability that only the first (only the second, etc ) seed does not germinate is equal 0.20 X 0.80⁹= 0.0268 = 2.68%.
The probability that 6 seeds germinate is the sum of the probabilities that only the first seed does not germinate, only the second one does not germinate, etc, and equals to 10 X 0.0268 = 0.268 = 26.8%.
The total probability that more than 7 of 10 seeds germinate is the sum of the probabilities that 10 seeds germinate and that 7 seeds germinate, i.e. 2.68 % + 26.8 % = 29.48 %.
Thus, The Probability of that more than 7 of them germinate is 0.2948.
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Evaluate v(x)=12−2x−5 when x=−2,0, and 5.
Answer:
Step-by-step explanation:
v(x)=12-2x-5
v(-2)=12-2(-2)-5
=11
v(0)=12-2(0)-5
=7
v(5)=12-2(5)-5
=-3
Find the sum of the first 200 terms of the arithmetic sequence that begins: 12, 18, 24, ...
Answer:
S₂₀₀ = 121800
Step-by-step explanation:
the sum to n term of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
here a₁ = 12 and d = a₂ - a₁ = 18 - 12 = 6 , then
S₂₀₀ = [tex]\frac{200}{2}[/tex] [ (2 × 12) + (199 × 6) ]
= 100(24 + 1194)
= 100 ×1218
= 121800
Solve -2x + 7 < -41 how do you solve this
Answer:
x>21
Step-by-step explanation:
-2x + 7 < -41 Subtract 7 from both sides
-2x<-48 Divide by negative 2
x>21 When you divide by a negative you have to flip the sign
Answer:
x<28
Step-by-step explanation:
-2x+7<-41
-2x<-48 subtract 7 from both sides
x>24 divide by -2 to both sides
Write down the coordinates of point A.
( ……… , ………)
b) The line L is shown on the grid. Find the equation of line L in the form of y = mx + c.
..............................
The coordinates of point A is: (-2, 5)
The equation of line L, in slope-intercept form, is: y = 1/2x + 2
What is the Equation of a Line?In slope-intercept form, the equation of a straight line is given as, y = mx + b, where:
b is the y-intercept, which is where the line cuts the y-axism is the slope = change in y / change in x.The coordinates of point A is: (-2, 5)
Slope (m) of line L = 2/4 = 1/2.
y-intercept (b) = 2
The equation of line L will be:
y = 1/2x + 2.
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Find two integers whose sum is 3 and product is -28 ?
Answer:
-4 and 7
Step-by-step explanation:
-4 + 7 = 3
-4•7 = -28
Select the correct answer from each drop-down menu.
Three students used factoring to solve a quadratic equation.
x² + 17x + 72 = 12
Jordan's Solution Keith's Solution Randall's Solution
x² + 17x + 72 = 12 x² + 17x + 72 =12 x² +17x +72 = 12
(x + 8)(x + 9)= 12 x² + 17x +60 =0 x2 +17x = -60
x+8=12 & x+9=12 (x +5)(x +12) +0 x(x +17) = -60
x + 5 =0 & x + 12 = 0 x = -60 & x +17 = -60
The equation was solved correctly by ____. The solutions of the equation are ____
Answer:
Step-by-step explanation:
x = -5 and x = -12 are the solutions.
Looks like Keith's solution is the correct one as he got as far as
x + 5 = 0 and x + 12 = 0.
(pls give the answer and working out)
simplify fully:
Answer:
As you wish love, 2sqrt x 3sqrt8 = 12sqrt6
Step-by-step explanation:
2sqrt3x3sqrt8
Simplify,
2sqrt3 x 3 x 2sqrt2
Evalutate,
12sqrt6
I need help with this math question thank you
Answer:
A
Step-by-step explanation:
can someone explain to me the letter or sign or variable after "Y"
Answer:
It is a symbol used to denote an angle (or something else)
Step-by-step explanation:
Alpha(α) is a greek letter, it's one of the letters used to denote angles. Other such letters you'll often see in math are Beta (β), Gamma (γ), Delta (δ), these are used to denote angles. Also, pi (π), which is a mathematical constant. The letters phi (φ) and theta (θ) are also used for angles very often, especially in formulas. You'll see some of these in physics too.
It can be used as variable too, not necessarily for angles, but it's mostly used for them.
Please help with this. I don’t understand what I’m doing. It’s due tonight
Answer:
.0006
Step-by-step explanation:
I'm not sure if this is correct.. sorry if this is wrong.. :(
Amazon stock has been rising for the past week. One stock was originally $6.75 , but the price has risen 135%. What is the new price?
Answer:
$15.86
Step-by-step explanation:
There are two numbers, and one is 7 more than twice the other. The sum of the numbers is 3. What are the numbers? And what is the equation?
Answer:
2x + 7 = 3
2x = 3 - 7
2x = -4
2x/2 = -4/2
x= -2
Therefore the numbers are -2 and 7.
Complete:
33/50 = ?*/100
= ?**
*answer #1
**answer #2 (answer #1 as a decimal)
thanks :)
Answer:
66/100 = 0.66
Step-by-step explanation:
You can solve for the question mark value as though it were any other variable, or you can recognize the relationship between the numbers in the proportion.
__
solve for ?33/50 = ?/100
100(33/50) = ? = 66 . . . . . multiply both sides by 100
Then we know ...
33/50 = 66/100 = 0.66
__
recognize the relationship[tex]\dfrac{33}{50}=\dfrac{\text{?}}{100}\\\\\dfrac{2\cdot33}{2\cdot50}=\dfrac{66}{100}=0.66[/tex]
_____
Additional comment
Both 66/100 and 0.66 are pronounced "sixty-six hundredths".
Answer:
66/100 = 0.66
Step-by-step explanation:
Guy above and my test.
17 students and 15 teachers went on a field trip to an art museum. student tickets cost $10 each, and adult tickets cost $12 each. How much did the museum tickets cost in all?
Answer:
350 dollars
Step-by-step explanation:
We're given:
17 students15 teachersStudent ticket = 10 dollarsAdult ticket = 12 dollarsFirst, find the total cost for student tickets:
17 students × 10 dollars = 170 dollarsTherefore, the total cost for student tickets was 170 dollars.
Now, find the total cost for adult tickets:
15 teachers × 12 dollars = 180 dollarsTherefore, the total cost for adult tickets was 180 dollars
To find the total cost for the museum tickets, find the sum:
180 + 170 = 350 dollars
Therefore, the museum tickets cost 350 dollars in total.
Help will give brainilist ✨✨✨
Answer:
The answer to the first question is
[tex]16.37[/tex]
The answer to the second question is D
A bunny is released from a cage and hops away along a straight path. Each hop covers a horizontal distance of about 1 meter and a vertical distance of about
0.4 meters.
Which of the following graphs could model the situation if x represents the bunny's horizontal distance from the cage and y represents the bunny's height above ground?
Answer:
D
Step-by-step explanation:
because Y has to be about 0.4 meters high and the X value has to be 1 meter wide
