The number of hours, t, it takes a boat to travel 15 miles upstream is represented
by the given equation.
15
t=
r-c
Which equation represents the rate of the current, c, in terms of r, the rate of the
boat, and t?
A.
15 - rt
CE
15-16
BC=
rt - 15
c = - 7
C. C= -15+r+t
D. C = 15 -r-t

Answer:

A

Step-by-step explanation:

positive leading coefficient means increasing

Answer:

(-13/6, -12)

&

(2, 13)

Step-by-step explanation:

x · y = 26       -------> x = 26/y

y = 1 + 6x

SUB for y

x(1 + 6x) = 26

x + 6x² = 26

SOLVE for x

6x² + x - 26 = 0

6x² + 13x - 12x - 26 = 0

6x(x - 2) 13(x - 2) = 0

(6x + 13)(x - 2) = 0

x = -13/6 or 2

Test x = -13/6 for both equations

Equation 1

-13/6 · y = 26

y = -156/13

y = -12

Equation 2

y = 1 + 6(-13/6)

y = 1 - 13

y = -12

-12 = -12 ✅

Test x = 2 for both equations

Equation 1

2 · y = 26

y = 26/2

y = 13

Equation 2

y = 1 + 6(2)

y = 1 + 12

y = 13

13 = 13 ✅

Hope this helps & God bless!

Answer:

The penny stack will land on heads 50 times, tails 50 times, and on its edge 100 times when flipped 200 times

Step-by-step explanation:

25% of 200=50

50% of 200=100

So, the coin will land 50 times on heads, 50 times on tails and 100 times on edge

Answer:

It's A on EDGE

Step-by-step explanation:

Answer: 34.54

 Multiple 11 by 3.14 and you'll get 34.54
and if you need the radius just divide 11 by 2 and get 5.5
I hope this helps! :)

Answer:

10 and 11

Step-by-step explanation:

10+11=21

11-10=1

1 apart, and they add to 21

Answer:

x² + 80x - 5

Step-by-step explanation:

Answer:

(3x + 16)(3x - 16)

Step-by-step explanation:

[tex]9 {x}^{2} - 256 \\ \\ = {(3x)}^{2} - {(16)}^{2} \\ \\ = (3x + 16)(3x - 16)[/tex]

A piece of copper with a volume of 8.25 cubic centimeters has a mass of 73.92 grams than has the greater density A piece of iron with a volume of 5 cubic centimeters has a mass of 39.35 grams.

Suppose that a finite amount of substance is there having its properties as:

mass of substance = m kg

density of substance = d kg/m³

volume of that substance = v m³

Then, they are related as:

[tex]d = \dfrac{m}{v}[/tex]

A piece of copper with a volume of 8.25 cubic centimeters has a mass of 73.92 grams.

[tex]d = \dfrac{73.92}{8.25}\\d = 8.96[/tex]

A piece of iron with a volume of 5 cubic centimeters has a mass of 39.35 grams.

[tex]d = \dfrac{39.35}{5}\\\\d = 7.87[/tex]

Thus, A piece of copper with a volume of 8.25 cubic centimeters has a mass of 73.92 grams than has the greater density A piece of iron with a volume of 5 cubic centimeters has a mass of 39.35 grams.

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Answer:

Pt 1) B

Pt 2) 17

Step-by-step explanation:

a right angle is 90 so 56 plus 2x should equal 90. Subtract 56 from 90 and get 34, because it's 2x you divide by 2 and get 17

Each base: 12 ft^2

Surface Area: 48 ft^2

Assuming it is a triangular prisim made of equilateral triangles, I would assume the formula would be 4 times the area of one triangular base, following the formula:

[tex]a = \frac{1}{2} bh \\ a = \frac{1}{2} (6)(4) \\ a = 12 \\ 4 \times 12 = 48[/tex]

Answer:

  solve the equation with known values filled in; width is 3 ft.

Step-by-step explanation:

The perimeter formula can be used to find a missing value by filling in all of the known values, and solving the resulting equation.

__

  P = 2(L +W) . . . . . . perimeter formula

  14 = 2(4 +W) . . . . . known values substituted

  7 = 4 +W . . . . . . . divide by 2

  3 = W . . . . . . . . . subtract 4

The width is found to be 3 feet using the perimeter formula.

Answer:

The width of rectangular poster is 3 feet.

Step-by-step explanation:

As per given question we have provided that :

We need to find the width of rectangle.

Here's the required formula to find the width :

[tex]{\underbrace{\sf{\small{ \: \: P = 2(L + W) \: \: }}}}[/tex]

Calculating the width of rectangular poster by substituting the values in the formula :

[tex]\begin{gathered} \qquad{\twoheadrightarrow{\sf{\small{ \: \: P = 2(L + W) \: \: }}}} \\ \\ \qquad{\twoheadrightarrow{\sf{\small{ \: \: 14 = 2(4+ W) \: \: }}}} \\ \\ \qquad{\twoheadrightarrow{\sf{\small{ \: \: \dfrac{14}{2} = (4+ W) \: \: }}}} \\ \\ \qquad{\twoheadrightarrow{\sf{\small{ \: \: 7= (4+ W) \: \: }}}} \\ \\ \qquad{\twoheadrightarrow{\sf{\small{ \: \: W = 7 - 4\: \: }}}} \\ \\ \qquad{\twoheadrightarrow{\sf{\underline{\underline{\small{ \: \: W = 3\: \: }}}}}} \end{gathered}[/tex]

Hence, the width of rectangular poster is 3 feet.

[tex]\rule{200}2[/tex]

4IN

Step-by-step explanation:

I took the test for k12 and got 100% hope it helps

Answer:

4 in

Step-by-step explanation:

18 + 22 + 15 + 28 + 17 = 100

100 / 5 = 20

So, the mean for the data set: 18, 22, 15, 28, 17 is 20.

18 - 20 = |2|

22 - 20 = |2|

15 - 20 = |5|

28 - 20 = |8|

17 - 20 = |3|

2 + 2 + 5 + 8 + 3 = 20

20 / 5 = 4

So, 4 in is the mean absolute deviation (MAD).

I also took the test.

Using linear function concepts, it is found that the two lines can be classified as:

(4) intersecting, but not perpendicular.

A linear function is modeled by:

y = mx + b

In which:

The slope defines if the lines are parallel or perpendicular, as follows:

In this problem, the lines in slope-intercept formula are:

[tex]y = \frac{2}{3}x - 2 \rightarrow = m = \frac{2}{3}[/tex]

[tex]y = \frac{3}{2}x + 3 \rightarrow m = \frac{3}{2}[/tex]

Then:

[tex]\frac{2}{3} \times \frac{3}{2} = 1[/tex]

So they are intersecting and not perpendicular, which means that option 4 is correct.

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The mean of the data sets of Restaurants A and B which Walt collected is 17.3 and 15.8 respectively. Degree of overlap of two data set is 1.5.

The mean of the data is the average value of the given data. The mean of the data is the ratio of sum of all the values of data to the total number of values of data.

Walt collected random samples of data on the number of people who eat at who restaurants daily. He created two dot plots to represent his data.  

Mean of Restaurants A is,

[tex]X_A=\dfrac{10+15+16+18+18+18+19+19+20+20}{10}\\X_A=\dfrac{173}{10}\\X_A=17.3[/tex]

Mean of Restaurants B is,

[tex]X_A=\dfrac{ 10+13+15+15+15+16+17+18+19+20}{10}\\X_A=\dfrac{158}{10}\\X_A=15.8[/tex]

Degree of overlap is the difference of both the means.

[tex]DO=X_A-X_B\\DO=1.5[/tex]

Thus, the mean of the data sets of Restaurants A and B which Walt collected is 17.3 and 15.8 respectively. Degree of overlap of two data set is 1.5.

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Answer:

7x^25 :)

Step-by-step explanation:

1: 7x,

2. 7x^5,

3. 7x^9,

4. 7x^13,

5. 7x^17,

6. 7x^21,

7. 7x^25

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

[tex]7x^{25}[/tex]

Step-by-step explanation:

Given sequence: [tex]7x, -7x^5, 7x^9[/tex]

General form of a geometric sequence:  [tex]a_n=ar^{n-1}[/tex]

(where a is the first term and r is the common ratio)

[tex]a_1=7x[/tex]

[tex]a_2=-7x^5[/tex]

[tex]a_3=7x^9[/tex]

To find the common ratio, divide one term by the previous term:

[tex]r=\dfrac{a_2}{a_1}=\dfrac{-7x^5}{7x}=-x^4[/tex]

Therefore, substituting the found values of a and r into the formula:

[tex]\implies a_n=(7x)(-x^4)^{n-1}[/tex]

To find the 7th term, substitute n = 7 into the formula:

[tex]\begin{aligned}\implies a_7 & =(7x)(-x^4)^{7-1}\\ & = (7x)(-x^4)^6\\ & = (7x)(x^{24})\\ & = 7x^{25}\end{aligned}[/tex]

The equation of the line of the other leg of the right triangle if it shares the vertice of (10,0) is y = -1/3x + 10/3

The equation of a line in slope-intercept form is expressed as y = mx + b

where

m is the slope

b is the y-intercept

Given the coordinate points (-2, 4) and (10, 0)

Find the slope

Slope = -4/12
Slope = -1/3

Determine the y-intecept

0 = -1/3(10) + b

b = 10/3

Determine the equation

y = -1/3x + 10/3

Hence the equation of the line of the other leg of the right triangle if it shares the vertice of (10,0) is y = -1/3x + 10/3

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==========================================================

Explanation:

There are two ways to do this problem.

Method 1 involves listing out the terms until we reach the seventh one.

We see that the trapezoid is term 7.

-------------

Method 2 is faster and the one I recommend.

Since the pattern repeats every 4 items, this means we divide by 4 and look at the remainder. Ignore the quotient entirely.

7/4 = 1 remainder 3

The remainder 3 means that the answer is found in term 3, which is the trapezoid.

Answer:

we predict 2,587 persons will adopt dogs

Step-by-step explanation:

out of 40 persons 23 adopt dogs

Then

out of 40×25 persons 23×25 adopt dogs

Then

out of 1000 persons 575 adopt dogs

Then

out of 1000×4.5persons 575×4.5 adopt dogs

Then

out of 4,500 persons 2,587.5 adopt dogs  

Method 2 :

Let x Ben the number of persons we predict they will adopt dogs:

Here we have a proportional relationship:

Then

[tex]\frac{4500}{40} =\frac{x}{23}[/tex]

[tex]\Longleftrightarrow x = \frac{4500\times 23}{40} =2587.5[/tex]

Answer:

h = 12 units, r = 10 units

Step-by-step explanation:

[tex]v=\pi (10)^{2} (12)=\pi (100)(12)=1200\pi[/tex]

Hope this helps

Answer: $300 is the cost before the discount

Step-by-step explanation:

Divide $90 by 30% which = $300.

The variation is a joint variation, and the equation that relates the three independent variables is [tex]s = 0.18\frac{rf}{b}[/tex]

The direct and the inverse variations from the question can be represented using:

[tex]s = k\frac{rf}{b}[/tex]

Where:

From the question, we have:

r = 40; f = 39; b = 28

So, we have:

[tex]s = k\frac{rf}{b}[/tex]

[tex]10 = k\frac{40 * 39}{28}[/tex]

Make k the subject

[tex]k = \frac{10 * 28}{40 * 39}[/tex]

Evaluate

k = 0.18

Substitute k = 0.18 in [tex]s = k\frac{rf}{b}[/tex]

[tex]s = 0.18\frac{rf}{b}[/tex]

Hence, the equation that relates the three independent variables is [tex]s = 0.18\frac{rf}{b}[/tex]

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Answer:

x = 35

Step-by-step explanation:

As it is an isosceles triangle, two sides are equal (that's why we took two x)

2x = 180- 110

2x = 70

x = 70/2

x = 35

I hope my answer helps you.

The measure of the indicated angle is 35 degrees.

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

We are given that;

Angle = 110degree

Now,

x+x+110=180

2x+110=180

2x=180-110

2x=70

x=70/2

x=35

Therefore, by the angle sum property of triangles the answer will be 35degree.

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Answer:

probability = favorable cases / true cases

p(A)=5/20 simplified by 5 = 1/4

answer : the probability that the block is one of the large yellow it's 1/4.

Answer:

Sugar cookie dough packages cost 14 dollars each, and oatmeal cookie dough packages cost 16 dollars each.

Step-by-step explanation:

Let s equal the cost of a sugar cookie dough package, and o equal the cost of oatmeal cookie dough packages.

6s + 2o = 116

9s+12o = 318

therefore,

18s+6o = 348

18s+24o = 636

Subtracting them, we get -18o = -288, or 18o = 288

Therefore, o = 16, and 6s+32=116, so 6s=84, so s = 14

Answer:

12 different vacation caombinations

Step-by-step explanation:

has 3 options of Theme Park and 4 options of length of trip

[tex]C=(3)(4)=12[/tex]

Hope this helps

Answer:

1100

Step-by-step explanation:

We round the number up to the nearest hundred if the last two digits in the number are 50 or above.

We round the number down to the nearest hundred if the last two digits in the number are 49 or below.

If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.