Stumped on how to solve this one! The numbers just aren't making sense to me

The answer is C. x = [tex]\frac{5}{2}[/tex] 0r x = [tex]\frac{1}{3}[/tex]

Answer:

A.6%

B.7%

C.8%

D.9%

Vanilla wafers cost $4 per packet

and chocolate wafers for $1 per packet

They spent a total of $45 .

This means that the equation that can be formed using this information is:

                   4x+y=45

and they buy a total of 27 packets of wafers.

i.e.   the equation formed with the help of this information is:

              x+y=27

PART A:

The system of equations that can be solved to find the number of packets of vanilla wafers and the number of packets of chocolate wafers that Josh and his friends bought at the carnival is:

                 4x+y=45-------------------(1)

and             x+y=27----------------(2)

PART B:

We will use the method of substitution because with the help of this method we could easily substitute the value of one variable in terms of the other variable and obtain the answer.

Using equation (2) we have:

   y=27-x-------------------(3)

On putting this value of y in equation (1) we have:

4x+27-x=45

i.e.

4x-x+27=45

i.e.

3x+27=45

i.e.

3x=45-27

i.e.

3x=18

i.e.

x=6

and on putting the value of x in equation (3) we have:

y=27-6

i.e.   y=21

Hence, number of vanilla wafers purchased = 6

and number of chocolates wafers purchased = 21

The length of the missing side = side B = 17 (D) or 51(A)

Triangles are flat fields bounded by 3 intersecting sides and 3 angles

This side can be the same length or different.

If at an angle there is an angle of 90 degrees, this triangle is said to be a right angle

There is a hypotenuse in this triangle which is the sum of the two sides

[tex]\large{\boxed{\bold{C^2=A^2+B^2}}[/tex]

where c = hypotenuse

a and b = side/leg

This formula is known as the Pythagorean theorem which states that:

the hypotenuse or the longest side in a right triangle equal to the sum of the squares of the other sides.

or

the sum of the squares of the length of the two sides equals the square of the length of the hypotenuse

While the angle formulas used are

From the problem it is known that side A = 38 ,side b = b, side c = 34

There are 2 possible solutions to this problem because the image does not exist:

Possible Solution no 1

A² = C²+B²(A=hypetenuse)

B² = A²-C²

B² = 38² - 34²

B² = 288

B = √288

B = 16.97, round to the nearest tenth ⇒ 17 (answer D)

Possible Solution no 2

B² = A²+C²(B=hypotenuse)

B² = 38² + 34²

B² = 2600

B = √2600

B = 50.99, round to the nearest tenth ⇒ 51 (answer A)

the Sin rule

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trigonometric ratio

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the triangle angle

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Prove the converse of the Pythagorean Theorem

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Use Pythagoras' theorem

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Keywords: Pythagoras' theorem, the trigonometric, hypotenuse

the E-8 at the end means the number is multiplied by 10^-8

so 5.779E-8=

5.779 x 10^-8 =

 a negative power means move the decimal place that many places to the left

 so 5.779 x 10^-8 =

0.00000005779

Answer:

the E-8 at the end means the number is multiplied by 10^-8

so 5.779E-8=

5.779 x 10^-8 =

a negative power means move the decimal place that many places to the left

so 5.779 x 10^-8 =

0.00000005779

Step-by-step explanation:

Since we are given the lengths of 2 sides with the angle in between, therefore by cosine law we can only construct 1 triangle from this. By stating the angle in between, this constricts the possible number of triangles that can be formed into 1.

By calculation, the length of the 3rd side is calculated using cosine law:

c^2  = a^2 + b^2 – 2abcosθ

c^2 = 10^2 + 8^2 – 2(10)(8)cos40

c = 6.44 cm

ANSWER:

1 triangle 

The most likely step after the step3 is 4x = 24.

The linear equation in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

According to the given question

we have, a linear equation in variable x, 7x - 3x -4 = -1 + 21

For solving the above equation we will do the following steps

7x -3x -4 = -1 +21

Step1: 4x - 4  = 20

Step2: 4x - 4-20= 0

Step3: 4x -24 = 0

Step4: 4x = 24

Step5: x =24/4 =6

Hence, the most likely step after the step3 is 4x = 24.

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Answer:

f(x) = 3(36)x

f(x) = 182x

f(x) = 108x

f(x) = 9x(36x)

Step-by-step explanation:

x = 0.8x + 72

 when x is alone you can say it is 1x

Subtract 0.8x from both sides:

0.2x = 72

x = 72/0.2 

x = 360

To solve the equation x = 0.8x + 72, subtract 0.8x from both sides and then divide by 0.2 to solve for x. The result is 360.

To solve the equation x = 0.8x + 72, we need to isolate the variable x on one side of the equation. First, subtract 0.8x from both sides: x - 0.8x = 0.8x + 72 - 0.8x. Simplifying this gives 0.2x = 72. Then, divide both sides by 0.2 to solve for x: x = 72 ÷ 0.2 = 360. Therefore, 360 people who became members of the site that month were between 30 and 40 years of age.

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Answer:

Option C.

Step-by-step explanation:

The given expression is ab - 2 = c

Option a : a = [tex]\frac{c}{b}[/tex] - 2

                 ab = c - 2b

                Not equivalent to the original expression.

Option b : b = c + [tex]\frac{2}{a}[/tex]

                 ab = ac + 2 ⇒  [tex](\frac{ab-2}{a})[/tex] = c

                Not equivalent

Option c  : ab = c + 2

                  ab - 2 = c

               Equivalent to original expression

Option d : a - [tex]\frac{c}{2}[/tex] = b

                 2a - c = 2b

                Not equivalent

Option e : b - [tex]\frac{2}{c}[/tex] = a

                 bc - 2 = ac ⇒ c (b-a) = 2 ⇒ c = [tex]\frac{2}{b-a}[/tex]

                 Not equivalent

Option f : a = c + [tex]\frac{2}{b}[/tex]

                ab = bc + 2

               [tex](\frac{ab-2}{b} )[/tex] = c

              Not equivalent

Pythagorean Theorem is for right triangles

 right triangles have a 90 degree angle in them

 D is a right triangle

The rate of change of a function is reflected in the steepness of its graph. A function with a higher rate of change will have a steeper line. The correct comparison statement will depend on the specific slopes of Line A and Line B.

In the context of this question, the rate of change refers to the steepness of the lines or the slopes of the functions represented by the lines. When comparing the rates of change of two functions, you look at how steep or flat each line is.

Let's consider the statements given:

To determine the best statement, analyze the steepness of the lines. For example, if Line A is decreasing and much steeper than Line B, then it would have a larger (but negative) rate of change.

Remember, the

rate of change

in a function can be understood as the rate at which the y-values are changing for each increment in the x-values. A higher rate of change means the function is increasing or decreasing more quickly.

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