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natita [175]
3 years ago
6

Simplify: 3 (2x + 6) + 5x​

Mathematics
1 answer:
forsale [732]3 years ago
4 0
The answer to this is 11x + 18
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6. Alex and Brian park their bikes side-by-side. Alex leaves to visit friends, and Brian leaves 30 minutes later,
Aleksandr-060686 [28]

Answer:

See below.

Step-by-step explanation:

When Brian passes Alex they both have travelled the same distance.

Call this distance d.

Let the speed that Brian passes = x miles/hour.

Distance = speed * time  so:

For Alex:

d = (x - 5) * 1.5        ( Alex cycles for 1 + 30 minutes =  1.5 hours)

For Brian:

d = x * 1

So substituting d = x in Alex's equation:

x = 1.5(x - 5)

x = 1.5x - 7.5

7.5 = 0.5x

7/5 / 0.5 = x

15 = x.

ANSWER:

Brian's speed is 15 miles/hour.

Alex's speed is 15 - 5 = 10 miles/hour.

8 0
3 years ago
You want know if self-checkout is faster than regular checkout. One hundred customers were sent to
Kazeer [188]

A researcher's design of an experiment is to make clearer already known

facts, or to discover new knowledge.

The responses are:

  • Experimental units: <u>The customers</u>
  • Explanatory variable: The <u>type of checkout used</u>
  • Treatments: The <u>checkout to which a customer is sent to</u>
  • Response variable: The <u>time it takes to check out</u>

Reasons:

The aim of the experiment is to determine if self-check out is faster than

regular checkout.

The number of customers sent to one of the checkout options = 100

The experimental units are the subject of the experimental treatment.

Therefore;

  • <u>The experimental units are the customers</u> that are sent to a particular checkout.

An explanatory variable is the manipulated variable in an experiment. An explanatory variable is known as an independent variable.

  • In the question, <u>the explanatory variable are the type of checkout</u>; Self-checkout or regular checkout

Treatments are the levels of the explanatory variable available in the experiment, or a combination of the levels. The treatment is what the experimental units are subjected to.

  • In the question, <u>the treatment are the use of self-checkout or regular checkout</u>.

The response variable, is also known as the dependent variable, that depends on the treatment an experimental unit is subjected to.

  • <u>The response variable in the question is the times it takes to checkout</u>

Learn more about experimental design here:

brainly.com/question/2118275

3 0
3 years ago
Solve for x. Round your answer to two decimal places. Show your work for full credit. (3 points) A right triangle is shown with
spin [16.1K]

Answer:

x = 14.30

Step-by-step explanation:

Given:

Right ∆ with,

Hypotenuse = x

Opposite = 9

Reference angle \theta = 39°.

Required:

The value of x

Solution:

Since we are given a reference angle with opposite length, and we are to find the hypotenuse length, x, apply the following trigonometric ratios formula:

sin(\theta) = \frac{opp}{hyp}

Plug in the values into the equation

sin(39) = \frac{9}{x}

Multiply both sides by x

sin(39)*x = 9

Divide both sides by sin(39)

x = \frac{9}{sin(39)}

x = 14.30 (to 2 decimal places)

3 0
3 years ago
Does anyone know how to do this
Snowcat [4.5K]
<h2>X = 9</h2><h3></h3><h3>All of the equations are equal since it is an equilateral triangle.</h3><h3>So, just pick two equations and solve them.</h3><h3 /><h3>3x - 1 = 2(x + 4)</h3><h3>distribute</h3><h3>3x - 1 = 2x + 8</h3><h3>add 1 to both sides</h3><h3>3x = 2x + 9</h3><h3>subtract 2x from both sides</h3><h3>x = 9</h3><h3 /><h3>DOUBLE-CHECK (If you want to)</h3><h3>4x ÷ 2 + 8 = 3x - 1</h3><h3>subtract 8 from both sides</h3><h3>4x ÷ 2 = 3x - 9</h3><h3>simplify</h3><h3>2x = 3x - 9</h3><h3>subtract 3x from both sides</h3><h3>-x = -9</h3><h3>divide both sides by -1</h3><h3>x = 9</h3><h3 /><h3>TRIPLE-CHECK (If you want to)</h3><h3>4x ÷ 2 + 8 = 2(x + 4)</h3><h3>simplify</h3><h3>2x + 8 = 2x + 8 (It's already equal)</h3>
6 0
3 years ago
HELP ME WITH THIS PLEASEEE HURRYT
alukav5142 [94]
Given radius,
A = 4•pi•r^2

1. 452.39
2. 3216.99
3. 2827.43
5 0
2 years ago
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