20 miles is equal to how many kilometers? (1 mile ≈ 1.6 km)

Answer:

n = 37/3

Step-by-step explanation:

3n = 30 +7

3n = 37

n = 37/3

Answer:

2/7

Step-by-step explanation:

Answer:

Function f(x) has slope 4, which is greater.

Step-by-step explanation:

Next time please present your data in tabular form:

x g(x)

2   5

4   7

6  9

From this table it is immediately evident that if x increases by 2, y increases by 2 also.  Thus, the slope of the line is m = rise / run = 2 / 2 = 1, for function g(x).  Function f(x) has slope 4, which is greater.

The measure of Angle C is approximately 26°.

A, B, C are vertices of a triangle, where AB = 8 cm, BC = 6 cm. To determine the measure of angle C, we need to use the cosine rule.

The cosine rule states that the square of one side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of the other two sides and the cosine of the angle between them.

Mathematically, we can represent it as follows:a² = b² + c² - 2bc cos(A)where a is the side opposite to angle A, b is the side opposite to angle B, c is the side opposite to angle C.

In this case, we have AB = c = 8 cm, BC = a = 6 cm, and AC = b. We need to find the measure of angle C, which is represented as cos(C).

Using the cosine rule, we can write the equation as follows:$$\begin{aligned} b^2 &= c^2 + a^2 - 2ca\cos(C) \\ \Right arrow b^2 &= 8^2 + 6^2 - 2 \times 8 \times 6 \cos(C) \\ \Right arrow b^2 &= 64 + 36 - 96 \cos(C) \\ \Right arrow b^2 &= 100 - 96 \cos(C) \end{aligned}$$We know that b is a positive length. Hence, b² > 0 or 100 - 96 cos(C) > 0. Solving for cos(C),  

we get: cos(C) < 100/96cos(C) < 1.0417Using a calculator, we can determine the inverse cosine of 1.0417 as:cos⁻¹(1.0417) = 0.4569 radians = 26.201° (rounded to the nearest degree)

Therefore, the measure of angle C is approximately 26°.

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Answer:

b & c

Step-by-step explanation:

Answer: 36 oz box

Step-by-step explanation:

3.1/12=0.258333

7.9/360.291444

Thus, the 36 oz box is the better buy

Step-by-step explanation:

To find the greatest common factor (GCF) of 8, 16, and 40, we can determine the largest number that evenly divides all three of them.

Let's first find the prime factorization of each number:

- 8 = 2 * 2 * 2

- 16 = 2 * 2 * 2 * 2

- 40 = 2 * 2 * 2 * 5

Now, let's identify the common factors by finding the minimum exponent for each prime factor:

- 2 is a common factor with an exponent of 2 (appearing twice in the prime factorization of 8 and 16).

- 5 is not a common factor since it appears only in the prime factorization of 40.

The GCF is obtained by multiplying the common factors with their respective minimum exponents:

GCF = 2^2 = 4

Therefore, the greatest common factor of 8, 16, and 40 is 4.

1. The difference in the distance of Jupiter from the sun than Mercury will be 4.816.

2. The difference in the distance of Neptune from the sun than Mars will be

3. The greatest distance between Earth and Uranus is Uranus.

4. The greatest distance between Venus and Saturn is Saturn

From the information, the average distance from the sun to each planets have been given. The difference in the distance of Jupiter from the sun than Mercury will be:

= 5.203 - 0.387

= 4.816

The difference in the distance of Jupiter from the sun than Mars will be:

= 30.07 - 1.524

= 28.546

The greatest distance between Earth and Uranus is Uranus and the greatest distance between Venus and Saturn is that of Saturn.

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Answer:

Interest earned will be $1,118.00

Step-by-step explanation:

Interest = Principal x Rate x Time

I = 6500 x .043 x 4

Answer:

18.2

Step-by-step explanation:

A way we can find the average is by finding the mean.

Mean is found when you add up all the numbers and divide by the total amount of values there are.

In this case there are 5 values in total.

\(\frac{17+24+19+17+14}{5}\) = 91/5 = 18.2

Answer:

18.2

Step-by-step explanation:

add all values together and divide by number of values.

17+ 24+ 19+ 17+14

then divide by 5

Step-by-step explanation:

we have the points

A (0, 0)

B (-2, 3)

the distance between 2 points is the Hypotenuse of a right-angled triangle, where the x and y coordinate differences are the legs.

that allows us to use Pythagoras to calculate the distance (the length of the Hypotenuse).

distance² = (0 - -2)² + (0 - 3)² = 4 + 9 = 13

distance = sqrt(13) = 3.605551275... ≈ 3.6

Answer:

x = -1

Step-by-step explanation:

-2(1 + 2x) = 2(2x + 3)

-2 - 4x = 4x + 6

Subtract 4x to both sides

-2 - 8x = 6

Add 2 to both sides

-8x = 8

Divide both sides by -8 to get x alone

-8x/-8 = 8/-8

x = -1

Hope this helps and pls mark me brainliest if you can:)

The required number of different distances possible is given as 36.

Given that,
In a board game, the distance a player travels is equal to the sum of the numbers shown when two 6-sided dice are tossed.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Here,
1 dice have 6 outcomes
2 dice have 6 outcomes,
Number of possible combination = 6 × 6 = 36

Thus, the required number of different distances possible is given as 36.

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Answer:

Step-by-step explanation:

To find the two consecutive natural numbers whose sum is 575, we can set up the following equation:

x + (x+1) = 575

where x and x+1 are the two consecutive natural numbers.

We can solve this equation by combining like terms:

2x + 1 = 575

Subtracting 1 from both sides, we get:

2x = 574

Dividing both sides by 2, we get:

x = 287

Therefore, the two consecutive natural numbers are 287 and 288. Our final answer is 287, 288.

Answer:

287,288

Step-by-step explanation:

Question

The sum of two consecutive natural numbers is 575. Find the numbers

soln

x +( x + 1) = 575

x + x + 1 = 575

2x + 1 = 575

2x = 575 – 1

2x = 574

\( \frac{2x}{2} = \frac{574}{2} \)

x = 287

since we got x as 287, lets solve(x+1)

by substituting

287 + 1 = 288

hence the consecutive numbers are 287,288

Check

287 + 288 = 575

we are correct.

i hope this helps

Answer:

A foot is 12 inches and 4 is closer to 0 than 12 meaning 13 ft 4 in simplified is 13 ft

Step-by-step explanation:

Answer:

63 grams

Step-by-step explanation:

42*4+Δ = 42+ 3*Δ

168 +Δ = 42 +3Δ subtract a triangle from both sides

168+Δ-Δ=42+3Δ-Δ

168 = 42 +2Δsubtract 42 from both sides

168-42 = 2Δ

126 = 2Δ divide both sides by 2

63 = Δ

Answer:

⇛x=8cm.

Step-by-step explanation:

Given that

PQRS is a square and PQ = (2x+3) cm

and QR = (3x-5) cm

We know that

All sides are equal in a square .

⇛ PQ = QR = RS = PS

⇛ 2x+3 = 3x-5

⇛ 3+5 = 3x-2x

⇛ 8 = x

⇛ x = 8

Therefore, The value of x = 8 cm.

Answer:

176

Step-by-step explanation:

175 is not enough. Good luck

Answer:

Well, I think that the answer is l-2l + l9l

Step-by-step explanation:

I think that it is l-2l + l9l. First off, an absolute value is the distance between a number and zero.

An absolute value is always positive. For example, l4l = 4 because it is always positive.

Opposites are numbers that are the same distance from zero in opposite directions. For example, -4 = 4.

On this case, the absolute value of (-2,3) is l-2l because in the coordinate graph, it is on Quadrant 2. What you need from the graph is the x-axis which is -2.  So you get, I-2I

And, the absolute value of (9,3) is I9I because in the coordinate graph, it is on Quadrant 1. Again, What you need from the graph is the x-axis, which is 9. So you get, I9I.

And if you are finding the distance between the two points, you need to add. So, there you have it, I-2I + I9I. Hopefully, it's right. :)

Answer:

O-2(x+5)

Step-by-step explanation:

I have to much time on my hands

Answer:

-2x-10

Step-by-step explanation:

-5(x+2)+3x=

Distribute

-5x-10 +3x

Combine like terms

-2x-10

C

Its c because it just asking was 4-1=3 but there no line marked 3

Answer:

Differences=

\( {120cm}^{3} \)

Step-by-step explanation:

Volume of first box=15cm×4cm×8cm

\(480 {cm}^{3} \)

Volume of second box=10cm×9cm×4cm

\( {360cm}^{3} \)

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

G = gallons remaining in the tank

t = hours

equation = ?

x- intercept of the graph = ?

Step 02:

We must analyze the graph to find the solution.

point 1 ( 0 , 15) x1 = 0 y1 = 15

point 2 (12 , 0) x2 = 12 y2 = 0

slope formula

slope-intercept form of the line

y = mx + b

m = -1.25

b = y-intercept = 15

G = -1.25x + 15

x- intercept of the graph = 12

After 12 hours there is no gas left in the tank.

The answer is:

G = -1.25x + 15

x- intercept of the graph = 12

After 12 hours there is no gas left in the tank.

Answer:

30

Step-by-step explanation:

49-31+12= 30

___________

Step-by-step explanation:

5 (4x^8) ^(-1/2)    -   2 x^-3

p ^(1/2)

r ^5/3  

The second location result in the largest area of grass that Jaeger can eat, which is approximately 353.57 square meters.

We may infer from the facts provided that Jaeger the goat will be confined to a 10- by-16-meter rectangular shelter by means of a 15-meter chain. All of the grass along the chain may be consumed by Jaeger. At three separate points in the shed, we are instructed to locate the patch of grass that Jaeger can eat.

Let's consider the three different locations as follows:

Attach the chain to a corner of the shed.

Jaeger can only eat as much grass as is contained inside a quarter-circle with a radius of 15 meters (the length of the chain) if the chain is fastened to a shed corner. This quarter-circle's area is:

Area = (1/4) x π x (15 meters)²

Area = 176.71 square meters (approx)

Affix the chain to the middle of one of the shed's longer sides.

This semicircle's area is:

Area = (1/2) x π x (15 meters)²

Area = 353. 57 square meters (approx)

To the center of one of the shed's shorter sides, fasten the chain.

This circular sector's area will be as follows:

Area = (90/360) x π x (15 meters)²

Area = 176.71 square meters (approx)

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Answer:

t = -6.25

Step-by-step explanation:

3/4 (184+t) =237

multiply by 3/4

184 + t =  177.75

subtract 184

t = -6.25

Answer:

-3, -1, 1

Step-by-step explanation:

The values of x when f(x) = 0 are the points on the graph when the curve intercepts the x-axis.

From inspection of the graph, the curve intercepts the x-axis at

x = -3,  x = -1  and  x = 1

Answer:

it y= - 8x

Step-by-step explanation: