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3 years ago

Which choice is the most efficient first step to solve this set of equations?

Mathematics

2 answers:

Nastasia [14]3 years ago

8 0

Answer:

x + 2x = 30 is the correct answer.

harina [27]3 years ago

3 0

2x + x + y = y + 30 I think.

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Joseph served 18 customers in 42 minutes. Approximately how many customers would he serve in 2 hours if he continued at this rat

zhenek [66]

Okay so if he serves 18 customers in 42 minutes divide 18 by 42 and you get the amount of customers he serves per min which is 0.42857413 then multiply that by 120 since 2 hours add up to 120 minutes and you get 51.43

8 0

3 years ago

Which of the following best describes the expression 7(y + 5)?

Afina-wow [57]

I dont know what you're asking, the property? That is distributive, and the answer of the expression is 7y+35

7 0

4 years ago

Use trigonometry to find the missing side. Round your answer to the nearest tenth (one decimal place)

Alchen [17]

Given:

A figure of a right triangle.

To find:

The missing side by using the trigonometric ratios.

Solution:

In a right angle triangle,

$\cos \theta=\dfrac{Adjacent}{Hypotenuse}$

In triangle ABC,

$\cos A=\dfrac{AC}{AB}$

$\cos (31^\circ)=\dfrac{b}{270}$

$0.857=\dfrac{b}{270}$

Multiply both sides by 270.

$0.857\times 270=b$

$231.39=b$

$b\approx 231.4$

Therefore, the missing side length is b=231.4 inches.

5 0

3 years ago

Solve the following inequality. 21<_-3(x - 4) < 30 A. 28<_x < 37 B. -3 <_ x < 6 C. -6 < x <_ -3 D. -10 &

Aloiza [94]

Answer:

Option C $-6$

Step-by-step explanation:

we have

$21\leq -3(x-4)$

The compound inequality can be divided into two inequality

$21\leq -3(x-4)$ -----> inequality A

$-3(x-4)$ ----> inequality B

Solve inequality A

$21\leq -3x+12$

$9\leq -3x$

Divide by -3 both sides

when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

$-3\geq x$

Rewrite

$x\leq -3$

The solution of the inequality A is the interval (-∞,-3]

Solve the inequality B

$-3x+12$

$-3x$

Divide by -3 both sides

when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

$x>-6$

The solution of the inequality B is the interval [-6,∞)

The solution of the compound inequality is

[-6,∞) ∩ (-∞,-3]=(-6,-3]

$-6$

3 0

3 years ago

Please Help.

Gennadij [26K]

Answer:
amount of nuts = 2 pounds
amount of dried fruit = 4 pounds

Explanation:
We are given that x is the amount of nuts and y is the amount of dried fruit.
We are also given that:
1- Hunter needs to make 6 pounds of trail mix. This means that:
x + y = 6
This can be rewritten as:
x = 6 - y .........> equation I
2- x costs $4 per pound, y costs $3.5 and Hunter can spend a total of $22. This means that:
4x + 3.5y = 22 ..........> equation II

Substitute with equation I in equation II and solve for y as follows:
4x + 3.5y = 22
4(6-y) + 3.5y = 22
24 - 4y + 3.5y = 22
24-22 = 4y-3.5y
2 = 0.5y
y = 4 pounds

Substitute with y in equation I to get the value of x as follows:
x = 6-y
x = 6-4
x = 2 pounds

Hope this helps :)

7 0

4 years ago