A group of 49 hikers registered for an 8-day trekking trip. The organizers arranged food to last for the entire trip. A few last minute registrations saw more hikers join the expedition. As a result, the food lasted only for 7 days. How many hikers in all went trekking?

The area is 108yd2(square yards).

In the given triangle a base

24yd and the corresponding height of 6 yds are given, so to calculate the area we can use:

A=12×b×h

If we substitute the given numbers we get:

A=\(\frac{1}{2}\)×24×18

=12×9

=108

The units of base and height are the same (yards), so the calculated area is in yd2

The area is the quantity that expresses the extent of a region on the plane or on a curved surface. the world of a plane region or plane area refers to the area of a shape or planar lamina, while area refers to the area of an open surface or the boundary of a three-dimensional object. The area is often understood as the amount of material with a given thickness that would be necessary to fashion a model of the shape, or the quantity of paint necessary to cover the surface with a single coat. it's the two-dimensional analog of the length of a curve (a one-dimensional concept) or the volume of a solid (a three-dimensional concept).

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Answer: Answer is C

Step-by-step explanation: It is C because its option C

Answer:

K+T=20

$9K + $6T = $168

K is the Kentucky blue grass in pounds

T is the Tall fescue in pounds

Step-by-step explanation:

You can start with the first equation. We don't know the exact amounts of each but we know that there was a total of 20 pounds, and there were 2 types of grass seeds, so we can get that the amount of pounds of Kentucky blue grass(K) and the pounds of Tal Fescue(T) has a sum of 20.

K + T = 20

For the second equation we know that there is a sum of $168 so we'll start with that. Then, we know he paid $9 per pound of K so $9* the value of K is the amount paid for Kentucky blue grass total. This can be represented as 9K. We do the same for T, 6T. Since the sum of the cost of $9T and $6K must be $168 we can write this as:

$9K + $6T = $168

Answer:

Values: 3,4,5

Step-by-step explanation:

I hope this helps:)

In the proportion (5x + 1):3 = (2x + 2):7, the value of x is -1/29.

In the proportion (6x):(4x) = 7, there is no value of x that satisfies the proportion.

To find the value of x in the given proportions, let's solve them one by one:

(5x + 1) : 3 = (2x + 2) : 7

To solve this proportion, we can cross-multiply:

7(5x + 1) = 3(2x + 2)

35x + 7 = 6x + 6

Subtracting 6x from both sides and subtracting 7 from both sides:

35x - 6x = 6 - 7

29x = -1

Dividing both sides by 29:

x = -1/29

Therefore, the value of x in the first proportion is -1/29.

(6x) : (4x) = 7

To solve this proportion, we can simplify the left side:

6x / 4x = 7

Dividing both sides by 2x:

3/2 = 7

This equation is not true, as 3/2 is not equal to 7.

Therefore, there is no value of x that satisfies the second proportion.

In summary, the value of x in the proportion (5x + 1) : 3 = (2x + 2) : 7 is -1/29, and there is no value of x that satisfies the proportion (6x) : (4x) = 7.

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Answer:

The rule would be 3 units right and 4 units down.

This is based off an assumption that the missing information is a triangle on the plane of coordinates 2 through 6.

Step-by-step explanation:

Below I provided the graph that I assume you have. Each blue strike represents 1 unit.

Answer:

To find the smaller number you have to subtract the difference from the greater number.

190450-45262=145188

You can prove your answer by subtracting the smaller number from the greater number to show the difference.

Therefore:

190450-145188=45262

Step-by-step explanation:

Answer: 7 7/10

Step-by-step explanation:

First you have to multiply 1 1/5 by two so that you could subtract it from 8 9/10. Once you do that that’s when you get 7 7/10.

Answer: 7 7/10

Step-by-step explanation:Find LCM Which means LEast common multiple so make 1 1/5 to 1 2/10 .now you can subtract 8 9/10 from 1 2/10 which gives you 7 7/10.

Hope it helps and look at pic below . :)

Answer:

B. 4 hours

Step-by-step explanation:

If he can finish 1/16 of the book in 1/2 of an hour, we must figure out how long it takes to finish 1/2 of the book. 1/16 of the book is 1/8 of 1/2 of the book, as 1/8 times 1/2 =1/16. This means we must multiply the length it takes him to read  1/16 of the book by the reciprocal of 1/8, or 8. So now we multiply 1/2 by 8 and get 4, so our answer is B.4 Hours

Answer:

I'm not sure you mean 2-(b/3) = -5/2 or (2-b)/3 = -5/2

Step-by-step explanation:

if

2-(b/3) = -5/2

12-2b = -15

12+15 = 2b

27 = 2b

27/2 = b

else

(2-b)/3 = -5/2

2(2-b) = -5×3

4-2b = -15

4+15 = 2b

19 = 2b

19/2 = b

Answer: 10.3, 9

Step-by-step explanation:

Answer:

\(\frac{(x-7)^2}{8^2} + \frac{(y-2)^2}{17^2} = 1\)

Step-by-step explanation:

Major axis length 2a

⇒ 2a = 34

⇒ a = 34/2

⇒ a = 17

General eq of ellipse:

\(\frac{(x-h)^2}{b^2} + \frac{(y-k)^2}{a^2} = 1\)

centre : (h,k)

foci: (h, k+c) and (h,k-c)

Gn. foci : (7, 17) and (7, -13)

Comparing the above 2 lines,

h = 7,

k + c = 17   -eq(1)

k - c = -13   -eq(2)

eq(1) + eq(2):

(k + c) + (k - c) = 17 + (-13)

2k = 4

k = 2

sun k = 2 in eq(1):

2 + c = 17

c = 15

Also, c² = a² - b²

b² = a² - c²

= 17² - 15²

= 64

b² = 8²

b = 8

substituting in ellipse eq,

\(\frac{(x-7)^2}{8^2} + \frac{(y-2)^2}{17^2} = 1\)

Answer:

\(\dfrac{(x-7)^2}{64}+\dfrac{(y-2)^2}{289}=1\)

Step-by-step explanation:

As the foci of the ellipse have the same x-value, the ellipse is vertical.

The formula for a vertical ellipse is:

\(\boxed{\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1}\)

where:

Given the major axis is 34:

The center of an ellipse is located at the midpoint between its two foci.

Given the foci are (7, 17) and (7, -13), the center of the ellipse is:

\((h, k) = (7, 2)\)

As the formula for the foci is (h, k±c), then (k, h±c) = (7, 2±c). Therefore:

\(\begin{aligned}2\pm c &= 17, -13\\\pm c &= 15, -15\\c &= 15\end{aligned}\)

The vertices are:

\(\begin{aligned}(h, k\pm b) &= (7, 2 \pm 17)\\& = (7, 19) \; \textsf{and}\; (7, -15)\end{aligned}\)

To find the value of a, substitute the values of b and c into c² = b² - a²:

\(\begin{aligned}c^2&=b^2-a^2\\15^2&=17^2-a^2\\a^2&=\sqrt{17^2-15^2}\\a^2&=64\\a&=8\end{aligned}\)

The co-vertices are:

\(\begin{aligned}(h \pm a, k) &= (7 \pm 8, 2)\\& = (-1,2) \; \textsf{and}\; (15,2)\end{aligned}\)

Therefore:

To find the equation of the ellipse, substitute these values into the formula:

\(\boxed{\dfrac{(x-7)^2}{64}+\dfrac{(y-2)^2}{289}=1}\)

AC is not equal to CE based on the angle bisector theorem. The answer is: C. NO, you cannot use the angle bisector theorem to determine that AC = CE.

According to the angle bisector theorem, when a line segment divides an angle of a triangle, the line segment also divides the opposite side but does so in such a way that the two segments are proportional to the other two sides of the triangle. However, the two segments are not congruent to each other.

In the diagram given below that shows the suspect, the police officer, and the 26th Street toward Cherry Street, the angle bisector divides the side opposite to the angle divided into AC and CE. Thus, their length cannot be ascertain to be congruent to each other, however, based on the angle bisector theorem, we can only prove that their length is proportional to the other two sides of the triangle.

Therefore, we can conclude as saying:

C. NO, you cannot use the angle bisector theorem to determine that AC = CE.

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Answer:

x=-2

Step-by-step explanation:

Distribute, add 12 to both side, then simplify

Answer: -2

Let's solve your equation step-by-step.

−2(x+6)=4x:

Step 1: Simplify both sides of the equation.

−2(x + 6) = 4x

(−2)(x) + (−2)(6) = 4x (Distribute)

−2x + (−12) = 4x

−2x − 12 = 4x

Step 2: Subtract 4x from both sides.

−2x − 12 − 4x = 4x − 4x

−6x − 12 = 0

Step 3: Add 12 to both sides.

−6x − 12 + 12 = 0 + 12

−6x = 12

Step 4: Divide both sides by -6.

−6x/−6 = 12/−6

x = −2

Answer:

ln25 = 3.219

ln50 = 3.912

ln22.3 = 3.105

lne^3 = 3lne = 3

ln0.45 = -0.799

Step-by-step explanation:

Calculator

Answer:

Let's assume the original price of the stock was x.

When the company announced it overestimated demand, the stock price fell by 40%.

So, the new price of the stock after the first decline was:

x - 0.4x = 0.6x

A few weeks later, when the seats were recalled, the stock price fell again by 60% from the new lower price of 0.6x.

So, the new price of the stock after the second decline was:

0.6x - 0.6(0.6x) = 0.24x

Given that the current stock price is $2.40, we can set up the equation:

0.24x = 2.40

Solving for x, we get:

x = 10

Therefore, the stock was originally selling for $10.

Given:

The triangles  ΔKRO and ΔKCO are right triangles with common leg and congruent hypotenuse. It is sufficient for HL (Hypotenuse - leg) congruence. RK and KC are hypotenuse and OK is common leg.

     Statement                                       Reason                

Given:

To prove FG ≅ AG, we'll first prove the triangles are congruent by AAS as we have one congruent angle pair, one side is common to both triangles, another pair of congruent angles is formed by the angle bisector. The common side is adjacent to one of the congruent angles but not included.

     Statement                                       Reason                

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

-3/2

Step-by-step explanation:

\(-\frac{7}{12}=1 \frac{5}{6}+d \\ \\ -\frac{7}{12}=\frac{11}{12}+d \\ \\ -7=11+12d \\ \\ -18=12d \\ \\ d=-3/2\)

The number of weeks that Vanessa ran for the number of miles given would be = 24 weeks

The amount of distance that Vanessa covers for a week = 4 miles

The amount of weeks it will take for her to cover 96 moles would be = ?

That is;

1 week = 4 miles

X weeks = 96 miles

Make X the subject of formula;

X = 96× 1/4

= 24 weeks

Therefore Vanessa will be able to cover 96 miles in only 24 weeks.

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Answer:

0

Step-by-step explanation:

2(3*2)^2-27(6/2)+3^2

=2(9*4)-27(3)+9

=72-81+9

=0

hope it helps:)

Answer:

no, its not

Step-by-step explanation:

you can find the decimals by dividing the numerator and the denominator

4/10 = 0.4

2/3 = 0.6666666......

so the values are obviously different

Answer:

The relation is a function.

Step-by-step explanation:

In order for the relation to be a function, every input must only have one output. Basically, you can't have 2 outputs for 1 input but you can have 2 inputs for 1 output. Looking at all of the points in the relation, we see that no input has multiple outputs, so the answer is yes, the relation is a function.

The range of function is values on the y-axis: R=[-7,2].

A function is a mathematical concept that describes the relationship between two sets of numbers. It is a rule that assigns to each input (or element in the domain) exactly one output (or element in the range). In simpler terms, a function is like a machine that takes in a number and produces another number as output, according to some specific rules. The input is usually denoted by x, and the output by f(x), which is read as "f of x". Functions can take many forms, such as linear, quadratic, trigonometric, exponential, logarithmic, and more. They are widely used in mathematics, science, engineering, and many other fields to model and analyze various phenomena.

Here,

To find the range of a function, you need to determine all possible output values of the function. Start by identifying the function's domain, which is the set of all possible input values of the function. Once you know the domain, apply the function to each input value in the domain and record the corresponding output values. Once you have a list of output values, identify the smallest and largest values in the list. These values represent the range of the function. For example, consider the function f(x) = 2x + 1. The domain of this function is all real numbers.

To find the range, apply the function to several input values in the domain:

f(-3) = -5

f(-2) = -3

f(-1) = -1

f(0) = 1

f(1) = 3

f(2) = 5

f(3) = 7

These output values give us a set of possible output values, which are {-5, -3, -1, 1, 3, 5, 7}. The smallest value in the set is -5 and the largest value is 7, so the range of the function is [-5, 7].

Note that for some functions, it may be difficult or impossible to find the exact range. In such cases, you can use techniques such as graphing or calculus to estimate the range.

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Answer:

17166 m/days

Step-by-step explanation:

1 mile = 1609.34 m

4 miles = 1609.34×4

= 6437.38m

1 hour = 0.0416667

9 hours = 9 × 0.0416667

= 0.375 days

Speed= (6437.38/0.375) m/days

= 17166.34667 m/days

= 17166 m/ days ( nearest whole number)

maybe 61km from northeast