What is the value of t?

Answer: [tex]\dfrac{17}{5}[/tex] miles

Step-by-step explanation:

We can express a mixed fraction as an improper fraction.

The process is as follows:

[tex]a\dfrac{b}{c}=\dfrac{ac+b}{c}[/tex]

The given mixed number = [tex]3\dfrac25[/tex] miles

This can be represented as

[tex]3\dfrac25=\dfrac{3\times5+2}{5}\\\\=\dfrac{15+2}{5}\\\\=\dfrac{15+2}{5}\\\\=\dfrac{17}{5}>1[/tex]

Hence, the required fraction= [tex]\dfrac{17}{5}[/tex] miles

Answers:

x = 20

y = 10

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Explanation:

Note the angles of triangle URT are all the same due to the similar arc markings. Each angle of this triangle is 60 degrees because 60+60+60 = 180.

Since angle URT is 60 degrees, this makes angle TRS to be 180-60 = 120 degrees. Angles URT and TRS are supplementary, meaning they add to a straight angle of 180 degrees.

Focus on triangle TRS. We have the top angle equal to 120 we found earlier. The two bottom base angles are both equal to 3y. We know they're equal because of the arc markings they share.

Triangle TRS has the angles of 120, 3y and 3y. Add these angles up, set the sum equal to 180 and solve for y

120+3y+3y = 180

120+6y = 180

6y = 180-120

6y = 60

y = 60/6

y = 10

So that takes care of the value of y.

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Now to find the value of x.

Triangle TRS is isosceles because of the congruent base angles. The sides opposite these congruent base angles are side TR and side RS. We can say TR = RS for short.

Because RS = 15, we know that TR = 15 as well

Now move to triangle URT. This is an equilateral triangle. All equilateral triangles have interior angles of 60 degrees each.

By definition of what it means to be equilateral, we know that UT = TR

So UT = 15

Let's solve for x

UT = 15

x-5 = 15

x = 15+5

x = 20

Answer:

[tex]The\ velocity\ of\ a\ river\ flow=15\ km/h\\The\ velocity\ of\ the\ ship\ in\ stagnant\ water=3\ km/h[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\Speed\ of\ the\ ship\ in\ the\ direction\ of\ water=18\ km/h\\Speed\ of\ the\ ship\ against\ the\ direction\ of\ the\ river=12\ km/h\\Now,\\First,\\Lets\ find\ the\ velocity\ of\ the\ river\ flowing.\\Lets\ consider\ that\ the\ river\ flows\ with\ a\ constant\ velocity\ of\ v\ km/h.\\\\We\ know\ that,\ the\ velocity\ of\ the\ river\ will\ actually\ be\ the\ velocity\ of\\ the\ ship\ flowing\ along\ with\ the\ river,\ when\ it\ doesn't\ actually\ propel\\ or\ accelerate.\\[/tex]

[tex]Hence,\\For\ Simplicity,\\v+F=18\ [When\ glides\ through\ the\ river]\\v-F=12\ [When\ glides\ against\ the\ river]\\Hence,\ by\ adding\ the\ two\ equations:\\(v+F)+(v-F)=18+12\\2v=30\\v=\frac{30}{2}=15\ km/h\\Note:\ The\ F\ stands\ for\ the\ speed\ of\ the\ ship\ independent\ of\ the\ river's\\ flow.[/tex][tex]Now,\\Lets\ consider\ the\ velocity\ of\ the\ ship\ when\ the\ river\ doesn't\ really\ flow.\\We\ already\ know\ that,\\Velocity\ of\ the\ ship\ in\ the\ direction\ of\ the\ river\ flow=18\ km/h\\Velocity\ of\ the\ ship\ against\ the\ direction\ of\ the\ river\ flow=12\ km/h\\Lets\ again\ refer\ to\ our\ first\ equation:\\v+F=18\\Hence,\\Substituting\ v=15,\\15+F=18\\F=18-15\\F=3\ km/h[/tex]

Answer:

B

Step-by-step explanation:

AB=6 therefore Pto Q should be 6

6^2=36

8^2=64

add them together

=100

square root 100=10

divide by 2=5

Answer: the answer is a hard doosie

Step-by-step explanation:

Answer:

36s^3

Step-by-step explanation:

Answer:

oh ok.

Step-by-step explanation:

what parts of a plant make food

Step-by-step explanation:

leaves

The ways to solve the equations are by elimination, by substitution and using graphs

The given parameters are:

The equation that represent the scenario are represented as:

[tex]x + y = 13[/tex]

[tex]x + 0.5y = 10[/tex]

The above equation can be solved in any of the following ways

Read more about system of equations at:

https://brainly.com/question/14323743

Answer:

78.5  sq.ft

Step-by-step explanation:

3.14*5*5

78.5 sq. ft

Answer:

25π ft^2

Step-by-step explanation:

The equasion to solve for area is, A=πr^2

so if the radius is 5 you would put that in r. A=π5^2, so next because of pemdas you would solve five to the power of 2 which is 25. so you answer is A=25π

Answer:

.03 cents

Step-by-step explanation:

6 divided by 200 equals 0.03

Answer:

.35 cents is the unit rate

Answer:

Step-by-step explanation:

si

Answer:

The answer would be Kevin,

Step-by-step explanation:

Kevin's trip would be the steepest because he is riding a bike, which may make him interact with hills, bumpy areas, etc.

Answer: -15.14

Step-by-step explanation:

-2.86 + 4.15 = 1.29

1.29 - 16.43 = 15.14

Answer:

150/100×32

=48.................

Answer:

48

Step-by-step explanation:

150/100 * 32

3/2*32

(3)(32)/(2)(1)

96/2

48

Answer:270

Step-by-step explanation:

5*5=25

25*6=270

6 because that’s the side of a cube

Answer:

Step-by-step explanation:

A

Answer:

B

Step-by-step explanation:

Its just 4.6 :)

if it was negitive it would be 4.6 too

 there's a great calculator for this on calculator soup :)

Answer:

80 is the answer

Step-by-step explanation:

The direct variation is given by:

[tex]F=k\,\frac{m}{d^2}[/tex]

So given the values for each variable, we can find the constant of proportionality k:

[tex]F=k\,\frac{m}{d^2} \\60=k\,\frac{1470}{7^2} \\k = \frac{60*49}{1470} \\k=2[/tex]

Then we can now find what the value is when m = 2560 and d = 8 by using the proportionality equation with k = 2:

[tex]F=2\,\frac{m}{d^2} \\F=2\,\frac{2560}{8^2}\\F=80[/tex]

Answer:

B. 5

Step-by-step explanation:

$40/$8 = 5

Answer : 5

Step-by-step  multiply 8 times 5

Answer:

C

Step-by-step explanation:

As you can see all the points are on the line except for C

The ordered pairs is a solution to the equation are: (1, 2) and (2, 4) thus the point C is not a solution.

An equation is an expression that shows the relationship between two or more numbers and variables.

We have to find the ordered pair of a solution to the equation:

Equation is y = 2x

For ordered pairs: (1, y)

y = 2x

y = 2

For Pair (2, y)

y = 2 (2)

y= 4

Hence, The ordered pairs is a solution to the equation are: (1, 2) and (2, 4)

Learn more about equations here;

brainly.com/question/25180086

#SPJ2

Answer:

0.375mL/polyethylene

Step-by-step explanation:

Total number of plastic bags = 24 plastic bags

amount of polyethylene created = 9mL

This means that;

24 plastic bags = 9mL of polyethylene

1 plastic bags = x

Cross multiply

24 * x = 9 * 1

24x = 9

x = 9/24

x = 0.375mL/polyethylene

Hence the rate of polyethylene used per plastic bag is 0.375mL/polyethylene

Answer:

b

Step-by-step explanation:

Answer:

(x+1),(x-5) these are the two

Answer:

It is D

Step-by-step explanation:

Arrange the numbers from smallest to largest:

0,0,1,1,1,2,2,3,3,4,6

Split the data in the middle, since there is an odd amount of numbers take an even amount on each side:

0,0,1,1,1,2,2,3,3,4,6

Lower half: 0,0,1,1,1

Higher half: 2,3,3,4,6

1st quartile is the middle value of the lower half: 1

3rd quartile is the middle value of the higher half: 3

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

n  =  8

Step-by-step explanation:

Have a nice day! I hope this helps!

Answer: n=8

Step-by-step explanation:Step 1: Simplify both sides of the equation.

17n−23n+11.5n=44

17n+−23n+11.5n=44

(17n+−23n+11.5n)=44(Combine Like Terms)

5.5n=44

5.5n=44

Step 2: Divide both sides by 5.5.

5.5n/5.5=44/5.5

Answer:

The average rate of change of the given function

A(x) =  1

Step-by-step explanation:

Step(i):-

Given function f(x) = x² - 2x -4

And given that x = a = -1 and  x=b = 4

The average rate of change of the given function

[tex]A(x) = \frac{f(b)-f(a)}{b-a}[/tex]

Step(ii):-

f(x) = x² - 2x -4

f(-1) = (-1)² - 2(-1) -4 = 1+2-4 = -1

f(4) = 4² -2(4) -4 = 16 -12 = 4

The average rate of change of the given function

[tex]A(x) = \frac{f(b)-f(a)}{b-a}[/tex]

[tex]A(x) = \frac{4-(-1)}{4-(-1)} = \frac{5}{5} = 1[/tex]

final answer:-

The average rate of change of the given function

A(x) =  1

Answer:

A(x) = 1

Step-by-step explanation:

[tex]f(-1) = (-1)^{2} -2(-1)-4 == -1\\f(4) = (4)^{2} -2(4)-4 == 4[/tex]

When we plug this into the formula for rate of change we end up with...

[tex]\frac{f(4)-f(-1)}{4-(-1)} \\= \frac{4-(-1)}{4+1} \\= \frac{5}{5}\\= 1[/tex]