Jesse is traveling up and down a stream in a kayak. He can paddle the kayak at an average rate of 5 miles/hour, and the round-trip is a total distance of 16 miles. When c is the speed of the current, this expression can be used to find the difference of the time it takes Jesse to travel upstream (against the current) and downstream (with the current).



Find the difference in simplest form.

Answer:

Angles G and H are congruent.

Step-by-step explanation:

Step-by-step explanation:

Let U=universal set

C=students who drink coke

P = students who drink pepsi

Answer:

if 60 is 30%, then add up to 100%

60+60+60= 180

but we still have 10% left so divide 30% by 3 to get 10% then add

30% (or 60) /3 is 20

add 20 to 180

boom you get 200 she bought 200 oranges i wonder how shes gonna fit them in her car that's a lot of oranges

Answer:

200

Step-by-step explanation:

To calculate 30 percent of a number, we multiply the number by 30 and then divide by 100. Therefore, we can make the following function:

30 ∗ x÷100

 =  60  

To solve for x, we first multiply both sides by 100 and then divide both sides by 30 to get the x = 200. Therefore, the answer to 60 is 30 percent of what number? is:

200

Answer:

3/4 is the slope

Step-by-step explanation:

Answer:

The answer is option 3 and option 4

Step-by-step explanation:

Answer:

-5x-24

Step-by-step explanation:

3(2x-8)-11x

Use distributive property.

6x-24-11x.

Combine like terms.

6x-11x-24=-5x-24

-5x-24

Hope this helps!

If not, I am sorry.

Answer:

-5x - 24

Step-by-step explanation:

3(2x − 8) – 11x =

Distribute the 3, then combine like terms.

= 6x - 24 - 11x

= -5x - 24

Answer:-1/4

Step-by-step explanation:

Take the negative of the reciprocal for perpendicular lines. In the case of no slope (y=number) replace y with x

The value of the number n as 1.5 * [tex]10^{-18}[/tex].

A power is the product of multiplying a number by itself.

(8.4*[tex]10^{9} \\[/tex])/n = (5.6* [tex]10^{27}[/tex])

n= (5.6* [tex]10^{27}[/tex]) / (8.4*[tex]10^{9} \\[/tex])

n= 1.5 * [tex]10^{-18}[/tex]

Hence, the value of n is n= 1.5 * [tex]10^{-18}[/tex]

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Answer:

18-10-1

7

Step-by-step explanation:

please mark me as brainlest

Answer:

18-7+3-1

18-10-1

18-11

+7 or 7

Step-by-step explanation:

we have first done of bracket

then as we know minus and minus is equal to plus

then we have done our solution

thank you

Answer:

$2,999

Step-by-step explanation:

There were 144 students when the contest began

Equation is formed when an algebraic expression is equated by a constant or another algebraic expression.

On the basis of given data :

Let the total number of students are x

50% of the students are eliminated after the first round

the remaining students are 0.5x

After the second round = (1/3) * 0.5 x were remaining

and

(1/3) * 0.5 x = 24

then solving this equation will give the total number of students

0.5x = 24 * 3

x = 24*3 /0.5 = 144

Therefore there were 144 students when the contest began

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Answer:

48 in²

Step-by-step explanation:

triangle = bh/2

triangle = 24 x 4 / 2

triangle = 48 in²

Answer:

y = 1/2 x - 4

Step-by-step explanation:

point slope form would be

( y - - 3) = 1/2 (x-2)       you can re-arrange as

y = 1/2x -4

Answer: [tex](x-10)^{2}+(y+3)^{2}=16[/tex]

Step-by-step explanation:

We know the center of the original circle is (-6, -3). After reflecting this over the line x=2, the new center is now (10, -3).

Thus, the equation of the circle is [tex](x-10)^{2}+(y+3)^{2}=16[/tex].

Answer:

Step-by-step explanation:

-5/7 x 1/5

-5 x 1 = -5

7 x 5 = 35

-5/35 = -1/7

Happy to help :P

ED and AC are congruent

Write Statement as:

AB*BC=EB*BD

8(4x+2)=9(4x)

32x+16=36x

16=4x

4=x

Hope it helps!

Answer:

Acute, right angle, obtuse, reflex

Step-by-step explanation:

Answer:

Acute

right angle

obtuse

reflex angle

Step-by-step explanation:

The graph would be the normal parent function of f(x) but all points would be 6 units up.

There's an upward vertical shift of 6. To graph this, you need to graph the function f(x) and then add 6 units to all the y values.

Answer:

∠ ABD = 20°

Step-by-step explanation:

since BD bisects ∠ ABC , then

∠ ABD = ∠ CBD ( substitute values )

3x - 1 = 34 - 2x ( add 2x to both sides )

5x - 1 = 34 ( add 1 to both sides )

5x = 35 ( divide both sides by 5 )

x = 7

Then

∠ ABD = 3x - 1 = 3(7) - 1 = 21 - 1 = 20°

Answer:

b - read explanation if you are confused for future problems

Step-by-step explanation:

Inverse variation is when x*y = k whereas direct variation (may come up in future problems) is when y = x*k

Remember that k is always a set value while x and y are values that can change

In this case y*x = k so k = 18 (since y is 9 when x is 2)

So when  x = 8

8y = 18

y = 18/8 = 9/4

The length of the three congruent sides is 7 cm and the fourth side length is 12cm.

Given quadrilateral has three congruent sides and perimeter of quadrilateral is 33 cm.

A quadrilateral can be expressed as ABCD and three congruent sides are AB, BC, CD and the fourth side is AD.

Let AD=x

then AB=BC=CD=x-5

This means if all the sides of a quadrilateral are known, we can get its perimeter by adding all its sides.

So, Perimeter = AB + BC + CD + DA.

Substitute values

(x-5)+(x-5)+(x-5)+x=33

4x-15=33

    4x= 48

     x=12

Hence the fourth side length is 12cm and the other sides are 7 cm longer.

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The maximum salary reached in 5th month.

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant

For the first year, salary  = 1,200,000

For the second year, salary

= 1,200,000 + 75,000 = 1,275,000

For the last year, salary  = 1,500,000

We get the AP as

1,200,000,  1,275,000, .... ,  1,500,000

a= 1,200,000  and d = 75000

Now using

L = a + (n - 1)d

1,500,000 = 1,200,000 + (n-1) 75,000

300,000 = 75,000(n-1)

300000/75000= n-1

4= n-1

n= 5

Hence, in the 5th year the maximum salary will be reached.

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Answer:

ln(x)

Step-by-step explanation:

ln(x) can be rewritten as e^ln(x)=x. so if e^ln(1)=1 the exponent is just 0. because anything to the power of 0 is 1 according to the Zero Exponent Rule

Answer:

C. Line PQ

Step-by-step explanation:

Tangent means touching, not crossing.

Answer:

x² + y² = 49

Step-by-step explanation:

The equation for a circle is: x² + y² = r²

here, we know our circle's radius (r) to be 7

So, the equation for our circle is:                  {replace "r" with value}

x² + y² = 7²

which can be simplified to:

x² + y² = 49

hope this helps!! have a lovely day :)

Answer:

y=⅓x+b

Step-by-step explanation:

So basically the formula of slope-intercept is:

y=mx+b

and m=⅓

so

y=⅓x+b and it includes the point (0, 6) so:

6=⅓(0)+b===> b=6===> y=⅓x+6

Answer:

3y⁷ + 2y⁵ - 4y³ + y + 12

Step-by-step explanation:

2y⁵ + y + 3y⁷ - 4y³ + 12

(greatest - least powers)

I hope this helps!

Answer:

Linear

Step-by-step explanation:

pretty self explanatory

Answer:

The linear parent function Step-by-step

Step-by-step explanation:

Linear functions are always characterized by a straight line graph with or without an intercept on the vertical or horizontal axis. A linear function usually has an independent variable and a dependent variable.

Hope your having a great day!!

200 grams of sterling silver is needed to make the 91℅ alloy

An equation is mathematical expression that contains an equals symbol. Equations are contain algebra. Algebra is used in maths when you do not know the exact number in a calculation.

given, x + y =500

The number of grams of pure silver in x plus the number of grams of pure silver in y is equal to the number of grams of pure silver in the 500 grams.

The pure silver is given in percentage forms.

Hence, 92.5% (x) + 90% (y) =91% (500)

Substitute y by 500−x in the last equation to write

92.5% (x) + 90% (500−x) =91% (500)

Simplify and solve

92.5x+45000−90x=45500

x=200 grams.

Hence, 200 grams of Sterling Silver is needed to make the 91% alloy.

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