1.Write an equation that models the following verbal statement and show/explain how you know your translation is correct.

Five less than four times a number is equal to three times the number.







2. Alejandra stayed 3 nights in a hotel for a total of $254.91. If each night was the same price, what did Alejandra pay per night? Show your thinking, use units to label your answer!

Answer:

The answer is 4x^2 (3+ 2x)

Step-by-step explanation:

Factor  4 x ^2  out of  12 x ^2  +  8 x ^3 .

hoped this helped!

brainly, please?

Answer:

K = 15

Step-by-step explanation:

From the question given above, the following data were obtained:

Sine x = 1/4

Cos² x = K / 16

K =?

Next, we shall determine the 3rd leg (i.e the adjacent) of the right angle triangle. This can be obtained as follow:

Sine x = 1/4

Sine x = Opposite / Hypothenus

Opposite = 1

Hypothenus = 4

Adjacent =?

Hypo² = Opp² + Adj²

4² = 1² + Adj²

16 = 1 + Adj²

Collect like terms

16 – 1 = Adj²

15 = Adj²

Take the square root of both side.

Adj = √15

Next, we shall determine Cos² x.

Adjacent = √15

Hypothenus = 4

Cos² x =?

Cos x = Adjacent / Hypothenus

Cos x = √15 /4

Square both side

Cos² x = (√15 /4)²

Cos² x = 15 / 16

Finally, we shall determine the value of K. This can be obtained as follow:

Cos² x = K / 16

Cos² x = 15 / 16

K / 16 = 15 / 16

K = 15

Answer:

[tex]600, 900, 1350[/tex]

Step-by-step explanation:

Given

[tex]a = 400[/tex] -- initial subscribers

[tex]b = 1.5[/tex] -- growth factor

Required

Determine the number of subscribers in the next three months

To do this, we make use of:

[tex]y = ab^x[/tex]

In this case:

x is the number of months

y is the number of subscribers

So:

when x = 1;

[tex]y = ab^x[/tex]

[tex]y = 400 * 1.5^1[/tex]

[tex]y = 400 * 1.5[/tex]

[tex]y = 600[/tex]

when x = 2

[tex]y = 400 * 1.5^2[/tex]

[tex]y = 400 * 2.25[/tex]

[tex]y = 900[/tex]

when x= 3

[tex]y = 400 * 1.5^3[/tex]

[tex]y = 400 * 3.375[/tex]

[tex]y = 1350[/tex]

So, the next three number of subscribers is:

[tex]600, 900, 1350[/tex]

Answer:

d. None of these

Step-by-step explanation:

Hope it helps you in your learning process.

[tex] m\angle 1 + m\angle 2 + 90\degree = 360\degree [/tex]

[tex] m\angle 1 + m\angle 2 = 360\degree- 90\degree [/tex]

[tex] m\angle 1 + m\angle 2 = 270\degree [/tex]

Answer:

D. None of the above.

Step-by-step explanation:

Complementary are 90 degrees and supplementary are 180 degrees.

A full circle is 360 degrees, and since there is a right angle, that means that angle 1 and 2 make up 270 degrees total.

This means it is neither.

Answer:

The value of q that makes the expression a perfect square is q = 4.

Step-by-step explanation:

Perfect square:

A perfect square expression has the following format:

[tex](a - b)^2 = a^2 - 2ab + b^2[/tex]

In this question:

[tex]9x^2 - 12x + q[/tex] is a perfect square, we have to find the value of q.

First we have to find the value of a, looking at the equivalent formula above. So

[tex]a^2 = 9x^2[/tex]

[tex]a = \sqrt{9x^2}[/tex]

[tex]a = 3x[/tex]

Since the second term, which is -2ab, is -12x, we have that:

[tex]-2ab = -12x[/tex]

[tex]-2(3x)b = -12x[/tex]

[tex]-6xb = -12x[/tex]

[tex]6b = 12[/tex]

[tex]b = \frac{12}{6}[/tex]

[tex]b = 2[/tex]

q is b squared. So

[tex]q = b^2 = 2^2 = 4[/tex]

The value of q that makes the expression a perfect square is q = 4.

First let's review how to expand this!

(ax+b)^2=a^2*x^2+2abx+a^2

In this case

(2x^2+1/2)^2=2^2*x^2+2*1/2*2x+(1/2)^2

=4x^2+2x+1/4

Done!

10 in each do 10 times 3 then subtract total

Answer:

7/18

Step-by-step explanation:

Answer:

[tex]\frac{2}{7}[/tex]

Step-by-step explanation:

Let x represent the unknown number.  

x ÷ [tex]\frac{1}{3}[/tex] = [tex]\frac{6}{7}[/tex]

To solve, we must multiply [tex]\frac{1}{3}[/tex] by [tex]\frac{6}{7}[/tex] .

[tex]\frac{1}{3}[/tex] * [tex]\frac{6}{7}[/tex] = [tex]\frac{2}{7}[/tex]

So, x = [tex]\frac{2}{7}[/tex]

Therefore, [tex]\frac{2}{7}[/tex] divided by [tex]\frac{1}{3}[/tex] equals [tex]\frac{6}{7}[/tex].

I would appreciate brainliest, but if not that's ok!

Answer:

6j(5k+3)

Step-by-step explanation:

18j+30jk

Factor out 6.

6(3j+5jk)

Consider 3j+5jk. Factor out j.

j(3+5k)

Rewrite the complete factored expression.

6j(5k+3)

=====================================================

Work Shown:

Applying the tangent-secant theorem will allow us to solve for x

x*(x+5) = (x+2)^2

x^2+5x = (x+2)*(x+2)

x^2+5x = x^2+4x+4

5x = 4x + 4 ..... subtracting x^2 from both sides; terms cancel

5x-4x = 4

x = 4

------------------

Check:

Plug in x = 4

x*(x+5) = (x+2)^2

4*(4+5) = (4+2)^2

4*(9) = (6)^2

36 = 36

The answer is confirmed.

Answer:

Answer:C. y = x + 7

Step-by-step explanation:

everything on the left is 7 less then on the right

Answer:

150 ft^2

Step-by-step explanation:

The formula is (30*10)/2 which is equal to 150.

Answer:

d + 10d + 25q = 229.

Step-by-step explanation:

Answer:

177.6 g/mol

Step-by-step explanation:

The molecular weight of the substance is 177.55 g/mol.

Option B is the correct answer.

It is the conversion of one unit to another unit with its standard conversion.

Examples:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

The molecular weight (MW) of the substance can be calculated by dividing the mass of the sample by the number of moles:

MW = mass/moles

MW = 0.03551 kg / 0.2000 moles

MW = 0.17755 kg/mol

However,

The answer is given in grams per mole, so we need to convert the result to g/mol.

So,

1 kg = 1000 g

MW = 0.17755 x 1000 g/mol

MW = 177.55 g/mol

Therefore,

The molecular weight of the substance is 177.55 g/mol.

Learn more about unit conversion here:

https://brainly.com/question/13899873

#SPJ2

Answer: 414

Step-by-step explanation: 414 is a palindrome that is divisible by 18 because it’s an even number and that it’s one less than 415 which is a multiple of 5.

Kayla's number is 414 and this can be determined by using the given data and also by using the arithmetic operations.

Given :

The following steps can be used in order to determine Kayla’s number:

Step 1 - Remember palindrome means 'reads the same left-to-right as it does right-to-left'.

Step 2 - The digit should be between 0 to 9 and according to the given data, the number is one than a multiple of 5 that is, the first and last digit must be 4 or 9.

Step 3 - So, the number which is divisible by 18 is 414.

For more information, refer to the link given below:

https://brainly.com/question/25277954

Answer:

7 centimeters

Step-by-step explanation:

Standard size of a coffee cup is 7 centimeters

7 meters is too big

7 kilometers  is bigger than 7 meter

7 millimeters is too small

Answer:

The given polygon has 4 vertices and, 4 non-parallel and non equal sides. So the given polygon is a quadrilateral.

Step-by-step explanation:

The given vertices of are (–2, 4), (5, 4), (3, –3), and (–2, 0).

i found this on web

Answer:

The answer is A. Clara drew the figure correctly and correctly identified the four-sided figure as a quadrilateral.

Step-by-step explanation:

Answer:

3x + 2

Step-by-step explanation:

Answer:

3x+2

Step-by-step explanation:

Get rid of the parentheses:

(x−1)+(2x+3)

x−1+2x+3

Add up the numbers:

x−1+2x+3

x+2+2x

Combine like terms:

x+2+2x

3x+2

Answer:

I need answer too

Pleaseee help us

Answer:

8.48%

Step-by-step explanation:

Given that,

The estimated bill = $480

Actual costing of the bill = $524.50

We need to find the percent error in the bill. It can be calculated as follows :

[tex]\%=\dfrac{524.50-480}{524.50}\times 100\\\\\%=8.48\%[/tex]

So, the percentage error in the bill is 8.48%.

Answer:

0.65, 2.05, 2.56, 5.06, 5.62

Answer: 0.65, 2.05, 2.56, 5.06, 5.62.  

Answer:

[tex]t \ge h[/tex] and [tex]t + 0.5h \le 12.0[/tex]

Step-by-step explanation:

Given

[tex]t= thickness[/tex]

[tex]h =height[/tex]

From the first statement, we have that:

[tex]t\ mm \ge 0.1 * h\ cm[/tex]

Convert mm to cm

[tex]t\ * 0.1*cm \ge 0.1 * h\ cm[/tex]

[tex]t\ *0.1 \ge 0.1 * h[/tex]

Divide both sides by 0.1

[tex]t \ge h[/tex]

From the second statement, we have that:

[tex]Cost \le 12.2[/tex]

Substitute 0.2 + t + 0.5h for Cost

[tex]0.2 + t + 0.5h \le 12.2[/tex]

Collect Like Terms:

[tex]t + 0.5h \le 12.2-0.2[/tex]

[tex]t + 0.5h \le 12.0[/tex]

So, the inequalities are:

[tex]t \ge h[/tex] and [tex]t + 0.5h \le 12.0[/tex]

Answer: it's a, the answer

Step-by-step explanation:

Answer:

15 % off

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 148 × 15/100

Discount = 148 x 0.15

You save = $22.20

Final Price = Original Price - Discount

Final Price = 148 - 22.2

Final Price = $125.80

Answer:

Sample mean

Symbol: [tex]\frac{}{x}[/tex]

Step-by-step explanation:

Given

[tex]Population = 30[/tex]

[tex]Sample = 10[/tex]

[tex]Mean\ of\ the\ selected\ 10 = 5'2"[/tex]

Solving (a): Is it sample mean or population mean

From the question, we understand that 10 were selected from a total of 30.

And the mean of the selected 10 is 5'2"

The selected 10 is referred to as sample and the mean of the 10 is the sample mean

Solving (b): Symbol to use.

The symbol for sample mean is: [tex]\frac{}{x}[/tex]

Answer:

Step-by-step explanation:

its sample mean x just took the test.

Answer:

48 square in.

Step-by-step explanation:

so first off you do 4x6 and you get 24 now you want t do 24x2 and get 48

Answer:

Triangle

Step-by-step explanation:

Option D. triangle

Answer:

‐3×2y2 is the most common correct answer

Answer : -302.6

Step-by-step explanation: