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Salsk061 [2.6K]
3 years ago
5

A catering company charges $300 plus $40 per guest for a wedding. Sarah and Eric do not want to spend more than $5,000 on cateri

ng. Write and solve an inequality in terms of the number of guests, g, that can be invited. A) 300 - 40g ≥ 5000; g ≥ 117 B) 300 - 40g ≤ 5000; g ≤ 118 C) 300 + 40g ≤ 5000; g ≤ 117 D) 300 + 40g ≤ 5000; g ≤ 118
Mathematics
2 answers:
Fynjy0 [20]3 years ago
8 0
Your answer would be either c or d
marta [7]3 years ago
5 0
<span> 300 + 40g ≤ 5000; g ≤ 118</span>
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Find x and y please
Alexandra [31]

Answer:

Answer:

  • x → 4.24
  • y → 4.24

Step-by-step explanation:

» x and y can only be got through using trigonometric ratios:

✍ <u> </u><u>For</u><u> </u><u>x</u><u> </u>:

{ \tt{ \sin( \theta)  =  \frac{opposite}{hypotenuse} }} \\  \\ { \tt{ \sin(45 \degree)  =  \frac{x}{6} }} \\  \\ { \tt{x = 6 \times  \sin(45 \degree) }} \\ { \tt{x = 4.24}}

✍ <u> </u><u>F</u><u>o</u><u>r</u><u> </u><u>y</u><u> </u>:

{ \tt{ \cos( \theta)  =  \frac{adjacent}{hypotenuse} }} \\  \\ { \tt{ \cos( 45  \degree)  =  \frac{y}{6} }} \\  \\ { \tt{y = 6 \times  \cos(45 \degree) }} \\ { \tt{y = 4.24}}

6 0
3 years ago
Read 2 more answers
1 point
Dimas [21]

Answer:

The simplest radical form is 9\sqrt{5} ⇒ (c)

Step-by-step explanation:

To simplify any square root;

  • Factorize the number under the root using prime numbers
  • Take out the root any number repeated twice as one number

<em><u /></em>

<em><u>Examples:</u></em>

1. Simplify \sqrt{8}

factorize 8 using prime numbers

8 = 2 × 2 × 2, then \sqrt{8}=\sqrt{(2)(2)(2)}

Take two of 2 out the root, then \sqrt{8}=2\sqrt{2}

2. Simplify \sqrt{18}

factorize 18 using prime numbers

18 = 2 × 3 × 3, then \sqrt{18}=\sqrt{(2)(3)(3)}

Take the two 3 out the root, then \sqrt{18}=3\sqrt{2}

Let us simplify 3\sqrt{45}

∵ 45 = 3 × 3 × 5

∴ 3\sqrt{45}=3\sqrt{(3)(3)(5)}

→ Take the two 3 out by one 3

∴  3\sqrt{45}=3(3)\sqrt{5}

→ Multiply the numbers out the root

∴ 3\sqrt{45}=9\sqrt{5}

∴ The simplest radical form is 9\sqrt{5}

8 0
3 years ago
1. Consider the figure below where l2 intersects and m&lt;2 = 90°
ryzh [129]

angle 3 and angle 4 are adjacent and complementary.

angle 5 is a vertical angle to the combination of angle 3 and 2

angle 4 and angle 5 are adjacent, supplementary, and form a linear pair

If you want me to explain why, comment it, i just have no time to now.

6 0
3 years ago
7 t-shirts and a hat costs £67.00
dalvyx [7]

Answer:

£9.00

Step-by-step explanation:

67.00-49.00 = 18.00÷2 = 9.00

Let's Try:

a) 9.00×7 = 63.00+4.00(hat) = 67.00

b) 9.00×5 = 45.00+4.00(hat) = 49.00

6 0
3 years ago
Read 2 more answers
1. Jillian and Harold both leave the mall to go home headed in different directions. The angle between their paths towards home
mr_godi [17]

Answer:

ok mlol

Step-by-step explanation:

5 0
3 years ago
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