18 students decide they don't want to be rescued and want to continue to live in the jungle . If this represents 40% of the student, How many students want to be rescued?

A scale drawing is an illustration of shape where the accurate size of the new shape is in proportion to the previous shape.

Given that:

[tex]k = 3[/tex] --- the scale factor

From the given polygon, we have:

[tex]Side_1 = 8[/tex]

[tex]Side_2 = 6[/tex]

The corresponding sides of these two sides are:

[tex]Side_1 = 8 \times 3[/tex]

[tex]Side_1 = 24[/tex]

[tex]Side_2 = 6 \times 3[/tex]

[tex]Side_2 = 18[/tex]

See attachment for the scaled drawing

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Answer:

C = 7p

Step-by-step explanation:

Each pound costs 7 dollars, and he buys P, an unknown amount. This equals C.

A. √50 = 5√2 ≈ 7,07107

B. √169 = √13² = 13

C. 736

D. 225

Step-by-step explanation:

5:6

is your answer.

good morning

have a great day

Answer:

Value of k is 9

Step-by-step explanation:

-2x + 8 = -10

-2x = -10 - 8

-2x = -18

x = -18/-2

x = 9

f(x) = f(k)

x = k

9 = k

Hello there!

We are given the function:

[tex] \displaystyle \large{f(x) = - 2x + 8}[/tex]

We want to find the value of k. First, we know that f(k) is -10. We substitute x = k and f(x) = -10.

[tex] \displaystyle \large{f(k) = - 2k + 8} \\ \displaystyle \large{ - 10 = - 2k + 8}[/tex]

Solving the equation. First, we subtract both sides by 8.

[tex] \displaystyle \large{ - 10 - 8 = - 2k +8 - 8} \\ \displaystyle \large{ - 18 = - 2k} \\ [/tex]

Divide both sides by -2.

[tex] \displaystyle \large{ \frac{ - 18}{ - 2} = \frac{ - 2k}{ - 2} } \\ \displaystyle \large{ 9= k}[/tex]

Therefore, k = 9

When we substitute k = 9 in f(k), the value is -10.

Let me know if you have any questions!

Topic: Linear Function

Answer:

Yes!

Step-by-step explanation:

It is also a fraction. But, again fraction is a rational number and the number is also real (>0).

8k - 9(4k + 4) = 8k - 36k - 36 = -28k - 36

Let's rewrite in the simplest term,

→ 8k - 9(4k + 4)

→ 8k - 36k - 36

→ [-28k - 36]

The simplest term is -28k - 36.

Answer:

2/7

Step-by-step explanation:

Probability=number of names chosen/total number of names

p=2/7

Here in this question order is mentioned so we will use permutation.

and the formula is P(n,r) = [tex]\frac{n!}{(n-r)!}[/tex]

When the order of selecting something doesn't matter we use combination and when order of selection matters we use permutation.

In the given question number of unique names (n) = 7 and we are taking 2 names at a time.So the permutation of 7 names takes 2 at a time is P(7,2) =

[tex]\frac{7!}{(7-2)!}[/tex] = [tex]\frac{7!}{5!}[/tex] = [tex]\frac{7*6*5*4*3*2*1}{5*4*3*2*1}[/tex] = 7x6 = 56.

So, the number of ways of selecting is 56.

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Answer:

190 goats

33 cows

70 chickens

Answer:

8 x 4² + 10 - 5 x 108 x 42 + 10 - 5x10

8 x 16 + 10 - 22680 + 10 - 50

128 -22710 = -22528

CMIIW

I can't understand with your question but I think the qustion is like ☝

The value of the expression 8 x 4² + 10 - 5 x 108 x 42 + 10 - 5 x 10 is -22,582

To calculate the value of the given expression 8 x 4² + 10 - 5 x 108 x 42 + 10 - 5 x 10.

we need to follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders, Multiplication/Division, and Addition/Subtraction.

Let's break down the steps:

Calculate the exponent: 4² = 4 x 4 = 16.

Multiply 8 by 16: 8 x 16 = 128.

Multiply 5 by 108: 5 x 108 = 540.

Multiply 540 by 42: 540 x 42 = 22,680.

Multiply 5 by 10: 5 x 10 = 50.

Now, the expression becomes: 128 + 10 - 22,680 + 10 - 50.

=-22,582

Therefore, the value of the expression 8 x 4² + 10 - 5 x 108 x 42 + 10 - 5 x 10 is -22,582

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Answer:

-5/4x + 5/2

Step-by-step explanation:

Slope: (-3-2)/5-1) = -5/4

Point: (1,2)

y-2 = -5/4 (x -1)

y - 2 = -5/4x +5/4

y = -5/4x + 5/4 + 2

y = -5/4x + 13/4

Coordinate geometry is the use of a 2D plane to represent points.

Given that:

[tex]A = (-5,5) \to A' = (5,5)[/tex]

[tex]B = (-2,2) \to B' = (2, 2)[/tex]

[tex]C = (-3,2) \to C' = (2,3)[/tex]

By observing the pattern of transformation, the rule is:

[tex](x,y) \to (y,-x)[/tex]

Hence, the transformation is a rotation of 270 degrees clockwise

The length is calculated using the following distance formula:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2[/tex]

So, we have:

[tex]AB = \sqrt{(-5 - -2)^2 + (5 - 2)^2} =\sqrt{18[/tex]

[tex]BC = \sqrt{(-2 - -3)^2 + (2 - 2)^2} =1[/tex]

[tex]AC = \sqrt{(-5 - -3)^2 + (5 - 2)^2} =\sqrt{13[/tex]

And

[tex]A'B' = \sqrt{(5 -2)^2 + (5 - 2)^2} =\sqrt{18[/tex]

[tex]B'C' = \sqrt{(2 - 2)^2 + (2 - 3)^2} =1[/tex]

[tex]A'C' = \sqrt{(5 - 2)^2 + (5 - 3)^2} =\sqrt{13[/tex]

By comparing the lengths of the image and the preimage, we can conclude that the transformation preserves length.

The measure of the angles is calculated as follows:

[tex]a^2 = b^2 + c^2 -2ab \cos A[/tex]

So, we have:

[tex]18 = 1 + 13 -2 \times 1 \times \sqrt{13} \cos C[/tex]

[tex]18 - 1 - 13= -2 \times 1 \times \sqrt{13} \cos C[/tex]

[tex]4= -2 \times 1 \times \sqrt{13} \cos C[/tex]

[tex]-2= \sqrt{13} \cos C[/tex]

Make cos C the subject

[tex]\cos C = -0.5547[/tex]

[tex]C = cos^{-1}(-0.5547)[/tex]

[tex]C = 124^o[/tex]

Also, we have:

[tex]\frac{a}{\sin A} =\frac{c}{\sin C}[/tex]

So, we have:

[tex]\frac{1}{\sin A} =\frac{\sqrt{18}}{\sin( 124)}[/tex]

[tex]\frac{1}{\sin A} =5.1175[/tex]

Rewrite as:

[tex]\sin A = \frac{1}{5.1175}[/tex]

[tex]\sin A = 0.1954[/tex]

[tex]A = \sin^{-1}(0.1954)[/tex]

[tex]A = 11^o[/tex]

Also, we have:

[tex]A + B + C = 180^o[/tex] --- sum of angles in a triangle

[tex]11 + B + 124 = 180^o[/tex]

Collect like terms

[tex]B = 180 -11 - 124[/tex]

[tex]B = 45[/tex]

Hence:

[tex]\angle A = 11[/tex]   [tex]\angle B = 45[/tex] and [tex]\angle C = 124[/tex]

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Answer:

Always

Step-by-step explanation:

I know this question is 3 weeks old, but for people in the future who need the answer.

Answer:

[tex] \frac{10}{16} [/tex]

Step-by-step explanation:

[tex] \frac{red \: pens}{total \: pens \: } = \frac{10}{16} [/tex]

or 5/8

Answer:

9 cups

Step-by-step explanation:

6 ÷ 2/3

6/1 ÷ 2/3

6/1 x 3/2 = 18/2 = 9/1 = 9

Answer:

The total area is multiplied by 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Width = w

triple the width = 3*w = 3w

Length = 7 yards longer than triple the width = 3w + 7

Perimeter = 438 yards

2*(length +width) = 438

2*(3w+ 7 + w) = 438       {Combine like terms}

2 * (4w + 7)     = 438

     2*4w +2*7 = 438       {Use distributive property}

         8w + 14 = 438          {Subtract 14 from both side}

                  8w = 438 - 14

                  8w = 424          {Divide both sides by 8}

                    w = 424/8

                     w = 53 yards

Length = 3*53 +7 = 159 + 7 = 166 yards

Width = 53 yards

Length = 166 yards

the answer must be t equal to Q over MC

Answer:

T= Q over MC

Step-by-step explanation:

I did the test

(6u+3)+(6u+3)+(8u-3)

=6u+3+6u+3+8u-3

=20u+3

Answer:

4+9= 13

Step-by-step explanation:

[tex]s = ut + \frac{1}{2} a {t}^{2} \\ \\ \frac{1}{2} a {t}^{2} = s - ut \\ \\ a = (s - ut) \: \div (\frac{1}{2} {t}^{2}) \\ \\ a = (s - ut) \: \times ( \frac{2}{ {t}^{2} } ) \\ \\ a = \frac{2s - 2ut}{{t}^{2}} \\ \\ a = \frac{2s}{{t}^{2}} - \frac{2ut}{{t}^{2}} \\ \\ \\ a = \frac{2s}{{t}^{2}} - \frac{2u}{t} [/tex]

I hope I helped you^_^

Answer:

4th option

Step-by-step explanation:

Given

[tex]\frac{x}{x^2+3x+2}[/tex] - [tex]\frac{1}{(x+2)(x+1)}[/tex] ← expand denominator using FOIL

= [tex]\frac{x}{x^2+3x+2}[/tex] - [tex]\frac{1}{x^2+3x+2}[/tex]

Since the denominators are common, then subtract the numerators

= [tex]\frac{x-1}{x^2+3x+2}[/tex]

Answer: 3a+b/9

(the slash represents a fraction so the answer is a fraction)

Step-by-step explanation:

Answer:

8x^2 +10x -5

Step-by-step explanation:

you'll multiply the second expression by -1, and you'll get +8x-9, add both expressions together and your final answer will be 8x^2 +10x -5

Answer:

t = 41.6 (the 6 is repeating)

Step-by-step explanation:

2.5t + 350 = 3t + 225

Subtract 2.5t from both sides to get:

350 = 3t + 225

Now subtract 225 from both sides to get:

125 = 3t

Divide both sides by three.

t = 41.6 (the 6 is repeating)

12x - 10.5y - 48 = 0

______________

Answer:

24 and 48

Step-by-step explanation:

let one number=x

the other number=2x

2x+x=72

3x=72

x=72/3=24

So one number is 24 and the other is 2(24)=48

Answer:

6 and 12 lol

Step-by-step explanation:

6(12)=72

12 is 6(2)

Answer:

(-∞,20}

Step-by-step explanation:

Use the commutative property to reorder the terms.

Separate the function into parts to determine the domain of each part

The domian of a rational function are all values of x which the denominator is different than 0

Find the intersection