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2 years ago

Please help me put them in correct place

Mathematics

1 answer:

REY [17]2 years ago

5 0

The inequalities that match the given expressions are

x ≤ 95

x > 100

5x ≤ 100

20 ≤ x ≤100

respectively

<h3>Writing linear inequalities </h3>

From the question, we are to match the statements with the corresponding inequalities

Nora's height(x) is at least 5 cm less than Stacy who is 100 cm tall

x ≤ 100 -5

x ≤ 95

Temperature(x) is greater than the boiling point of water (100 °C)

x > 100

John buys x chocolates worth $5 each but he has only $100 in his pocket

5x ≤ 100

Ronny decided not to exceed 100L of water usage and ends up using at least 1/5th of this limit every day

x ≤ 100

and

x ≥ 1/5 × 100

x ≥ 20 ≡ 20 ≤ x

∴ 20 ≤ x ≤100

Hence, the inequalities that match the given expressions are

x ≤ 95

x > 100

5x ≤ 100

20 ≤ x ≤100

respectively

Learn more on Writing inequalities here: brainly.com/question/1447311

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The value of the 4th term is 80. The sequence is doubling at each step. (Please answer this is due tomorrow)

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The value of the 5th term of the geometric sequence is of 160.

<h3>What is a geometric sequence?</h3>

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

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More can be learned about geometric sequences at brainly.com/question/11847927

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2 years ago

2 less than or equal to 3x +

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4 years ago

Nathan earns $1500 a week. Calculate his new weekly wage if he receives a pay rise of 20%

bazaltina [42]

Answer:

$1800

Step-by-step explanation:

1. Approanch

An easy way to calculate one's salary after they recive a raise is to, convert the percent that one's salary is increased into a decimal; divide the percent by 100. Then multiply the increase as a decimal by the original salary, to attain the amount the salary is raised by. Finally add the amount the salary is raised by to the original salary to find the new salary. A quicker way to do this is to convert the percent by the salary is increased into a decimal. Then add 1 to that number. Finally one will multiply that number by the original slary and get the new salary.

2. Solving

Original salary; 1500

Raise; 20%

<u>a. convert the raise as a percent into a decimal, then add 1</u>

20% = 0.2

0.2 + 1 = 1.2

<u>b. multiply the number by the original salary</u>

1.2 * 1500

1800

8 0

3 years ago

Read 2 more answers

For questions 3 – 5, an airplane is heading south at an airspeed of 540 km/hr, but there is a wind blowing from the northeast at

GuDViN [60]

First, let's calculate the horizontal and vertical components of the wind speed (W) and the airplane speed (A), knowing that south is a bearing of 270° and northeast is a bearing of 45°:

$\begin{gathered} W_x=W\cos45°\\ \\ W_x=50\cdot0.707\\ \\ W_x=35.35\\ \\ \\ \\ W_y=W\sin45°\\ \\ W_y=50\cdot0.707\\ \\ W_y=35.35 \end{gathered}$ $\begin{gathered} A_x=A\cos270°\\ \\ A_x=540\cdot0\\ \\ A_x=0\\ \\ \\ \\ A_y=A\sin270°\\ \\ A_y=540\cdot(-1)\\ \\ A_y=-540 \end{gathered}$

Now, let's add the components of the same direction:

$\begin{gathered} V_x=W_x+A_x=35.35+0=35.35\\ \\ V_y=W_y+A_y=35.35-540=-504.65 \end{gathered}$

To find the resultant bearing (theta), we can use the formula below:

$\begin{gathered} \theta=\tan^{-1}(\frac{V_y}{V_x})\\ \\ \theta=\tan^{-1}(\frac{-504.65}{35.35})\\ \\ \theta=-86° \end{gathered}$

The angle -86° is equivalent to -86 + 360 = 274°.

Therefore the correct option is b.

8 0

2 years ago