Which of the following linear equations has the steepest slope?

Answer:

138/11

Step-by-step explanation:

5 3/4 * 2 2/11

23/4 * 24/11

(552/44)/4

138/11

The value of the expression is [tex]8.8 \times 10^{-2}[/tex].

Solution:

Given expression:

[tex]$\frac{\left(4.8 \times 10^{8}\right)}{\left(1.2 \times 10^{4}\right)} \times\left(2.2 \times 10^{-6}\right)[/tex]

To find the value of the given expression:

Using exponent rule: [tex]a^m\times a^n=a^{m+n}[/tex]

[tex]$\Rightarrow\frac{\left(4.8 \times 10^{8-6}\right)}{\left(1.2 \times 10^{4}\right)} \times\left(2.2 \right)[/tex]

[tex]$\Rightarrow\frac{\left(4.8 \times 10^{2}\right)}{\left(1.2 \times 10^{4}\right)} \times\left(2.2 \right)[/tex]

Using exponent rule: [tex]\frac{a^m}{a^n} =a^{m-n}[/tex]

[tex]$\Rightarrow\frac{\left(4.8 \times 10^{2-4}\right)}{1.2} \times 2.2[/tex]

[tex]$\Rightarrow\frac{\left(4.8 \times 10^{-2}\right)}{1.2} \times 2.2[/tex]

Since [tex]\frac{4.8}{1.2}=4[/tex]

[tex]$\Rightarrow(4 \times 10^{-2})\times 2.2[/tex]

[tex]$\Rightarrow 8.8 \times 10^{-2}[/tex]

Hence the value of the expression is [tex]8.8 \times 10^{-2}[/tex].

Answer:

approximately (put the approximately sign) $92.94

Step-by-step explanation:

Just multiply 28.25 by $3.29. Tjen, round the answer to the nearest hundredth.

Answer:

-27 and -3

Step-by-step explanation:

81, -27, 9, -3, 1

The missing numbers in the sequence are -27 and -3. The sequence is 81, -27, 9, -3, 1

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The given sequence is 81,-,9,-,1

we have to find the missing number.

As we observe when 81 is divided by -3 we get -27.

Now when -27 divided by -3 we get 9

When 9 is divided by -3

we get -3

When -3 is divided by -3

the value will be 1.

81, -27, 9, -3, 1

Hence, the missing numbers in the sequence are -27 and -3. The sequence is 81, -27, 9, -3, 1

To learn more on Sequence click:

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To find the proportion of trick-or-treaters not dressed as knights, subtract the proportion dressed as knights from 1. Therefore, the proportion of trick-or-treaters not dressed as knights is 7/13.

To find the proportion of trick-or-treaters that were not dressed as knights, we need to subtract the proportion of trick-or-treaters who were dressed as knights from 1. If 6 out of every 13 trick-or-treaters were dressed as knights, then the proportion of trick-or-treaters not dressed as knights is 1 - (6/13) = 7/13.

In the realm of probability and proportions, calculating the proportion of trick-or-treaters not adorned in knightly attire involves a straightforward yet insightful approach. We initiate this quest by recognizing that the sum of all probabilities within a given context equals 1, which encapsulates all possible outcomes. Since we know that 6 out of every 13 trick-or-treaters don the guise of knights, we can deduce that the proportion of those not dressed as knights is the remainder of this whole, represented as 1 - (6/13). Simplifying this expression reveals that 7 out of every 13 trick-or-treaters fall into the category of not being attired as knights.

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Step-by-step explanation:

42:36:54 divide this by 6

= 7 : 6 : 9 simplest form

Answer:

12 m squared

Step-by-step explanation:

area of triangle is 1/2 base x height

base x height is 28 so 1/2 is 14

the area of the rectangle is base x height

1 x 2 = 2

14-2 = 12

The number of coins Sparrow has at the beginning of the game is 92 coins.

How many coins did Sparrow have at the beginning of the game?

Total number of coins = 210.

Ratio of coins belonging to Ahab, Sparrow and Davy = 4 : 5 : 6

Let

x = multiplying factor

The number of coins to Ahab = 4x

The number of coins to Sparrow = 5x

The number of coins to Davy = 6x

Since, total number of coins = 210

So

4x + 5x + 6x = 210

15x = 210

Divide both sides by 15

x = 16

Therefore,

The number of coins to Sparrow = 5x

= 5 × 16

= 80 coins

At the end Ahab and Davy wins 5 and 7 coins respectively

So at the beginning of the game, the number of coins Sparrow has = 80 + 7 + 5

= 92

Answer:

2 minuets

Step-by-step explanation:

Set up a ratio:

57 jumping jacks / 1 minute = 100 jumping jacks / x minutes

Cross multiply:

57x = 100

Divide both sides by 57:

X = 100/57

X = 1.754 minutes = 1 minute 45 seconds

The answers are option C) segment and option D) ray

Step-by-step explanation:

Line :

Point :

Segment :

Ray :

Answer:

y = 8/3

Step-by-step explanation:

3(y + 2) = 14

3y + 6 = 14

3y = 14 - 6

3y = 8

y = 8/3

Answer:

Step-by-step explanation:

3(y + 2) = 14

3y + 6 = 14

3y = 14 - 6

3y = 8

y = 8/3 or 2 2/3

Answer:

The volume is 160 cubic units

Step-by-step explanation:

1. Information given to us to answer the question correctly:

8 = base length

5 = base width

12 = height

2. Let's recall the formula of the volume of a pyramid with rectangular base:

Volume = (Length * Width * Height)/3

Volume = (8 * 5 * 12)/3

Volume = 480/3 ?

Volume = 160 cubic units

The unknown resistance is approximately 0.44 Ω.

Solution:

Total (equivalent) resistance = 0.28 Ω

Resistance 1 = ?

Resistance 2 = 0.81 Ω

To find the unknown resistance.

Formula for determining equivalent resistance in a parallel circuit:

[tex]$\frac{1}{R_{e q}}=\frac{1}{R_{1}}+\frac{1}{R_{2}}[/tex]

Substitute the given values in the formula.

[tex]$\frac{1}{0.28}=\frac{1}{R_{1}}+\frac{1}{0.81}[/tex]

[tex]$3.571=\frac{1}{R_{1}}+1.235[/tex]

Subtract 1.235 on both sides of the equation, we get

[tex]$2.282=\frac{1}{R_{1}}[/tex]

Take reciprocal to find [tex]R_1[/tex].

[tex]$R_{1}=\frac{1}{2.282}[/tex]

[tex]$R_{1}=0.44[/tex]

[tex]R_1[/tex] = 0.44 Ω

The unknown resistance is approximately 0.44 Ω.

Martina runs 10.5 miles in 75 minutes

Solution:

Given that,

Martina runs 7 miles in 50 minutes

Therefore, miles ran in 1 minute is:

[tex]Miles\ ran\ in\ 1\ minute = \frac{7}{50}\ miles[/tex]

At the same rate how many miles will she run in 75 mins

Thus, to find the miles ran in 75 minutes:

[tex]Miles\ ran\ in\ 75\ minute = \frac{7}{50}\ \times 75\\\\Miles\ ran\ in\ 75\ minute = 0.14 \times 75\\\\Miles\ ran\ in\ 75\ minute = 10.5[/tex]

Thus she runs 10.5 miles in 75 minutes

Answer:

B: 2

Step-by-step explanation:

2 is the y-intercept of the given line.

The notation V(r) actually gives the volume of air inside the basketball.  V(r) is volume as a function of radius, r  It can be written as:  V(r) = 4/3πr³  So, for any value of r, we can get the volume V.  For, example, when r = 7cm  we can say;  V(7) = 4/3 x 22/7 x 7³ = 1437.33 cm³

Question

P c

4 14

5 17

6 20

7 23

There are 3 caterpillars on each plant, and there are 2 caterpillars on the ground. The table shows how the number of caterpillars, c, depends on the number of plants, p. Choose the equation which represents the rule.

A) c = 3p + 3

B) c = 2 − 3p

C) c = 3p − 2

D) c = 3p + 2

Answer:

c = 3p + 2 is the equation that shows relation between number of caterpillars and plants

Solution:

Given that,

There are 3 caterpillars on each plant

And there are 2 caterpillars on the ground

Let the number of plants be "p"

Let the number of caterpillars be "c"

The equation that shows relation between number of caterpillars and plants is:

If there are 3 caterpillars on each plant, then for "p" plants, there will be "3p" caterpillars

Number of caterpillars = 3p + 2 caterpillars on the ground

Therefore,

Number of caterpillars = 3p + 2

c = 3p + 2

Thus the equation is found

Answer:

C

Step-by-step explanation:

slope is change in y over the change in x

points on graph are (-1, -4) and (-2, 3)

-4-3/-1+2 = -7/1 = -7

y = -7x + b

put one of the points in for x and y to solve for b

3 = -7 x -2 + b

3 = 14 + b

subtract 14 from both sides.

b = -11

Answer:

c

Step-by-step explanation:

Answer:

-8y + 9x = -5

8y + 7x = -75

16x = -80

x = -5

8y + 7(-5)= -75

8y - 35 = -75

8y = -40

y = -5

(-5,-5)

Answer:

-96/7x

Step-by-step explanation:

-4/7+2/7x-14x+4/7

-4/7+4/7+2/7x-14x

2/7x-14x

2/7x-98/7x

-96/7x

Answer:

-96/7

Step-by-step explanation:

Answer:

1,864

Step-by-step explanation:4 X 1398 would be 5592 then you divide it by 3 and get 1,864

Answer:

The value of y when x is 0 is 3

The value of x when y is 0 is 2

Step-by-step explanation:

3x + 2y = 6

3(0) +2y=6—> replace x with 0

2y=6—> divide both sides by 2

y=6

And do the same for y!

The equation 3x + 2y = 6 is a linear equation in standard form. Also, the equation y = 9 + 3x is an equivalent linear equation in slope-intercept form where b is 9 (y-intercept) and m is 3 (slope). A table of (x, y) values derived from this equation would plot as a straight line on a graph.

The equation you're looking at, 3x + 2y = 6, is indeed a linear equation in standard form. As a refresher, a standard form equation is written as Ax + By = C, where A, B, and C are constants, and x and y represent variables.

Let's consider another similar example, y = 9 + 3x. In this equation, which is in slope-intercept form, the b term has been set equal to 9 and the m term has been set equal to 3. We can fill out table A1 with different values for x and calculate the corresponding values of y. When plotted on a graph, these points will form a straight line, as dictated by the nature of linear equations.

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1. The given squares perimeter after dilation is 16 cm. Perimeter is reduced by 48 cm due to dilation.

2. The squares area is 16 square centimeters after dilation. The area reduces by 240 square cm due to dilation

Step-by-step explanation:

Step 1; First, we determine the coordinates of the points given in the graph. By plotting we determine that the points are; K (-8, -8), L(8,-8), M(8, 8) and N(-8, 8).

Step 2; We calculate the new coordinates of the square KLMN by multiplying the scale factor with each of the coordinate's x and y values.

8 × [tex]\frac{1}{4}[/tex] = 2, -8  [tex]\frac{1}{4}[/tex] = -2 are the different values in the four coordinates.

So by multiplying the scale factor we get the dilated square's points as

K (-2, -2), L(2,-2), M(2, 2) and N(-2, 2).

Step 3; The perimeter of a square is given by 4 times its side length. As the units are in centimeters, we determine the side length is 4 cm whereas it is 16 cm for the undilated square.

Perimeter of original square = 4 × 16 cm = 64 cm

Perimeter of the dilated square = 4 × 4 cm = 16 cm.

Change in perimeter = Perimeter of original square - Perimeter of the dilated square = 64 cm - 16 cm = 48 cm.

Step 4; The area of any given square is the side length of the square squared. The side length of the original square is 16 cm whereas the side length of the dilated square is 4 cm.

Area of original square = 16 × 16 cm = 256 square cm

Area of the dilated square = 4 × 4 cm = 16 square cm.

Change in area = area of original square - area of the dilated square = 256 cm - 16 cm = 240 square cm.

Step-by-step explanation:

The second one is the first claim, because it is a traingles and one square.

The third one is the sond claim because they are a part of the rectangular so moving them outside of it would increase the area, I think, if that makes sense.

Answer:

198

Step-by-step explanation:

Answer:

The answer is 140! brainilest please!

Step-by-step explanation:

Option D: [tex]\frac{2}{5}[/tex] is the x-coordinate

Explanation:

It is given that the coordinates of the line segment are A(3,2) and B(6,11).

Since, the line is partitioned by the point C by the ratio AC : BC = 2 : 3

The distance between the x-coordinates is 3 units.

To determine the value of the x-coordinate for point C, let us divide the value of x-coordinate from the ratio divided by the sum of ratio.

The value of x-coordinate from the ratio is 2.

Sum of the ratio is 2 +3 = 5

Thus,

The x - coordinate = value of x-coordinate from the ratio / Sum of ratio = 2/5

Substituting the values, we have,

The x - coordinate of the Point C = [tex]\frac{2}{5}[/tex]

Thus, Option D is the correct answer.

Answer:

D. or 5(w+10)

Hope this helps :)