PLEASE HELP!!!!!! Which system of equations represents the following situation?

Mrs. Stephens bought 3 containers of yogurt and 5 oranges for $2.79. The next week she bought 4 containers of yogurt and 7 oranges for $3.81, at the same prices.

Answer:

The firefighter should extend the ladder at 54° of elevation.

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant, and cotangent.

The longest side of the triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

Tangent Ratio:

[tex]\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]

The woman is trapped at 91 feet up from the ground, and the firetruck is 67 feet away from the building.

The wall, the ground, and the ladder form a right triangle, where θ is the horizontal angle of the ladder.

Being the height of the woman the opposite leg and the distance where the firetruck is parked, the adjacent leg:

[tex]\displaystyle \tan\theta=\frac{91}{67}=1.3582[/tex]

The angle is calculated as the inverse tangent:

[tex]\theta=arctan(1.3582)\approx 54^\circ[/tex]

The firefighter should extend the ladder at 54° of elevation.

The amount will be $2260 in the account at the end of 1 year. The amount will be $2553.8 in the account at the end of 2 years.

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

A = P(1+r/100)ⁿ

Where:

A = the future value of the investment or loan

P = the principal investment or loan amount

r = the interest rate (decimal)

n = the number of compound periods

As per the question, the given data will be:

p = $2000

r = 13%

t = 1 year

To calculate the amount in the account at the end of 1 year.

A = P(1+r/100)ⁿ

Substitute the values of p,r, and t in the formula,

A = 2000(1 + 13/100)¹

A = 2000(1 + 0.13)¹

A = 2000(1.13)

A = $2260

To calculate the amount in the account at the end of 2 years.

A = 2000(1 + 13/100)²

A = 2000(1 + 0.13)²

A = 2000(1.13)²

A = $2553.8

Thus, the amount will be $2260 in the account at the end of 1 year. The amount will be $2553.8 in the account at the end of 2 years.

To learn more about Compound interest click here:

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Step-by-step explanation:

4rhdhhdjddibdjdbdjd

Answer:

-330

Step-by-step explanation:

a39= 17+ (39-1) * -6

17+ 38 = 55

55*-6 = -330

Answer:

D.

Step-by-step explanation:

115x + 170 = 630

Subtract 170 from each side of the equals,

115x = 460

Divide 460 by 115,

4

Thus, D is your correct answer.

Answered by:

matthewarvin06

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Answer:

Bernad is WRONG.

Step-by-step explanation:

Let us take the number '18' (ends with 8)

The half of 18 is '9' (doesn't end with 4)

Let us take the number '38' (ends with 8)

The half of 38 is '19' (doesn't end with 4)

Therefore, Bernard is wrong.

Bernard is wrong because When you halve a whole number that ends in 8, you always cannot get a number that ends in 4”

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

Bernard says “When you halve a whole number that ends in 8, you always get a number that ends in 4”

It can be written mathematically:

Let's suppose the number is '18' (ends with 8)

The half of 18 =  9 (doesn't end with 4)

Let's suppose the number is '38' (ends with 8)

The half of 38 = 19 (doesn't end with 4)

Thus, Bernard is wrong because When you halve a whole number that ends in 8, you always cannot get a number that ends in 4”

Learn more about the arithmetic operation here:

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Answer:

x=6

Step-by-step explanation:

2x+3=15

subtract 3 on both sides

2x=12

x=6

The answer to this question is B, No solution

Answer:

yes

Step-by-step explanation:

l,l,;,;,;,;l,;,;

Answer:

7.99

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

x² + 3x

x = 1.7

Step 2: Solve

Answer:

The verticle angle to GOB is AOF.

Step-by-step explanation:

Look at the picture, it's pretty clear

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]b. {b}^{m} = {b}^{1 + m} [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer: Yes

This graph passes the vertical line test. This is a test where we try to draw a single vertical line through more than one point on the curve. In this case, such a thing is not possible. Any input x leads to exactly one output y. This graph is a function.

Answer:

the answer is [tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.

Answer:

15

Step-by-step explanation:

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

Work Shown:

(2a^2+b)(3a-3b)

c(3a-3b)  ..... let c = 2a^2+b

3ac-3bc  .... distribute

3a(c)-3b(c)

3a(2a^2+b)-3b(2a^2+b)  .... plug in c = 2a^2+b

3a(2a^2)+3a(b)-3b(2a^2)-3b(b)  ... distribute

6a^3+3ab-6a^2b-3b^2

6a^3-6a^2b+3ab-3b^2

You could also use the FOIL rule to get the same result. The box method is a visual way to keep track of the terms.

Answer:

92,00=9.2*10^4

109,000=1.09*10^5

4,673=4.673*10^3

0.00087=8.7*10^-4

0.0235=2.35*10^-2

Step-by-step explanation:

Answer:

There were 250 hamburgers sold on Saturday.

Step-by-step explanation:

∵ A local hamburger shop sold a combined total of 555 hamburgers

   and cheeseburgers on Saturday

→ Assume that the shop sold x hamburgers

∵ The shop sold x hamburgers

∵ There were 55 more cheeseburgers sold than hamburgers

→ That means the number of cheeseburgers is greater than the

    number of hamburger by 55

∴ The shop sold x + 55 cheeseburgers

∵ The shop sold 555 burgers

→ Add the two types of burgers and equate the sum by 555

∴ x + x + 55 = 555

∴ 2x + 55 = 555

→ Subtract 55 from both sides

∴ 2x + 55 - 55 = 555 - 55

∴ 2x = 500

→ Divide both sides by 2 to find x

∵ [tex]\frac{2x}{2}[/tex] = [tex]\frac{500}{2}[/tex]

∴ x = 250

∵ x represents the number of hamburgers

∴ There were 250 hamburgers sold on Saturday.

Answer:

Options (5) and (6)

Step-by-step explanation:

From the picture attached,

In right triangle ΔPSQ and ΔPSR,

PS ≅ PS [By reflexive property]

PQ ≅ PR [Given]

ΔPSQ ≅ ΔPSR [By HL property of congruence]

Therefore, QS ≅ SR [CPCTC]

(6n + 3) = (4n + 11)

6n - 4n = 11 - 3

2n = 8

n = 4

QS = (6n + 3)

     = 6×4 + 3

     = 27

SR = (4n + 11)

     = 4×4 + 11

     = 16 + 11

     = 27

QR = QS + SR

     = 27 + 27

     = 54

Therefore, Options (5) and (6) are the correct options.

Answer:

D

:) Hope this helps.

Step-by-step explanation:

Answer: No

Step-by-step explanation: Since y=2x+1 does not pass through the origin (i.e. there exists the constant term of 1 ), the variables y and x are not directly proportional - though, they do have a linear relationship.

Answer:

1) is arithmetic (because your adding 10)

2) is not arithmetic

3) is arithmetic ( because your adding 10)

Step-by-step explanation:

Answer:

it is -5

Step-by-step explanation:

Answer:

Correct Answer = -5

Step-by-step explanation:

Answer:

3 gallons

Step-by-step explanation:

2 - 1 + 2 = 3

Answer:

[tex]m=3[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-5, 7)

Point (-7, 1)

Step 2: Find slope m

And we have our final answer!

Answer:

c

Step-by-step explanation:

16 divided by 4 equals 4

Answer:

B. 1/4

Step-by-step explanation:

4 divided by 16 is 0.25 which is 1/4

Answer:

300 is what I got

Step-by-step explanation:

Answer:

Winners:Losers

2:9

Step-by-step explanation:

Winners:Losers

6:27

[÷3]

2:9

Answer:

Ratio  2:9

Step-by-step explanation:

For every 27 winner there are 6 people who win

For every 6 people who win 27 people do not win

So the ratio is 6:27  This can be simplified by dividing by 3

  Ratio 2:9

Answer:

Obtuse

Step-by-step explanation:

because 121