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2 years ago

15

Eli and Dylan are brothers and decide to have a race from one end of the street to the other. Since Eli is older, he gives Dylan

a 20-foot head start. Dylan can run 4 feet every second. Eli can run 6 feet every second.
Eli: y=6x
Dylan: ?
Write your answer as a sentence:
Please can someone help me? I’m having trouble understanding. And I’m quarantined without help!

2 answers:

ICE Princess25 [194]2 years ago

6 0

Answer:

x=4

sorry if its wrong i did my best

SVEN [57.7K]2 years ago

4 0

Answer:

I think its x=4

sorry if its wrong, i tried

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The paint mixer wants to mix paint that is 30% gloss with paint that is 15% gloss to make 3.75 gallons of paint that is 20% glos

Kipish [7]

The paint mixer should mix 1.238 gallon paint that is 30 % gloss and 2.512 gallon paint that is 15 % gloss to get 3.75 gallon of paint that is 20 % gloss.

In this question we must determine the correct volumes of each paint to obtain a 20 % gloss with paint by means of weighted averages:

$c_{r} = x\cdot c_{a} +(1-x)\cdot c_{b}$ (1)

Where:

$x$ - Proportion of the paint that is 30 % gloss.
$c_{a}$ - Concentration ratio of the paint that is 30 % gloss.
$c_{b}$ - Concentration ratio of the paint that is 15 % gloss.
$c_{r}$ - Resulting concentration ratio

If we know that $c_{a} = 0.3$ , $c_{b} = 0.15$ and $c_{r} = 0.2$ , then the proportion of the paint that is 30 % gloss is:

$0.2 = 0.3\cdot x +(1-x)\cdot 0.15$

$0.2 = 0.15\cdot x+0.15$

$0.15\cdot x = 0.05$

$x = 0.33$

And the quantity of gallons needed of each paint are:

Paint (30 % gloss)

$V_{a} = 0.33\cdot (3.75\,gal)$

$V_{a} = 1.238\,gal$

Paint (15 % gloss)

$V_{b} = V-V_{a}$

$V_{b} = 3.75\,gal-1.238\,gal$

$V_{b} = 2..512\,gal$

The paint mixer should mix 1.238 gallon paint that is 30 % gloss and 2.512 gallon paint that is 15 % gloss to get 3.75 gallon of paint that is 20 % gloss.

To learn more on weighted averages, we kindly invite to check this question: brainly.com/question/18554478

8 0

2 years ago

The cone and cylinder above have the same radius, r, and height, h. The volume of the cone is 90 cubic centimeters.

exis [7]

Answer:

$\huge\boxed{\sf Volume\ of\ cylinder = 270\ cm^3}$

Step-by-step explanation:

Volume of cone = 90 cm³

Volume of cylinder = ?

<u>Always remember:</u>

Volume of cylinder = 3 × volume of cone

Volume of cylinder = 3 × 90

Volume of cylinder = 270 cm³

$\rule[225]{225}{2}$

5 0

2 years ago

Compare the functions below:

dezoksy [38]

the function g(x)-- -----------><span>I could model it as a second degree equation
</span>the roots are (view the table)
x1=2
x2=4
g(x)=(x-2)(x-4)
therefore f(x)=−3 sin(x − π) + 2 (x-2)(x-4)

using a graphical tool------ >see attached drawing

The answer is the option <span>A) f(x)</span>

4 0

3 years ago

The population of a small town was 10,800 in 2002. Since then the population has decreased at a rate of 2.5% each year. Write an

lozanna [386]

Answer:

See below

Step-by-step explanation:

A 2.5 % decrease means 97.5 % remains (.975)

population = 10800 ( .975) ^n where n = years past 2002

in 2020 n = 18

10800 (.975)^18 = 6847 people

6 0

2 years ago

A standardized exam's scores are normally distributed. In a recent year, the mean test score was and the standard deviation wa

kiruha [24]

Answer:

The following are the solution to this question:

Step-by-step explanation:

In the given question, some of the values are missing which is defined in the attached file please find it.

In this question, the data is used to represent a standardized exam's scores, which is normally spread out into the test score that is 1530 and its standard deviation 316.

Formula:

$\to z=\frac{X- \mu}{\sigma } \\$

If the value of z-score= 1930

$\to z =\frac{1930- 1530}{316 } \\\\ \to z =\frac{400}{316 } \\\\ \to z = 1.27$

The z-score is 1.27

If the value of z-score= 1250

$\to z =\frac{1250- 1530}{316 } \\\\ \to z =\frac{-280}{316 } \\\\ \to z = -0.886$

The z-score is -0.886

If the value of z-score= 2250

$\to z =\frac{2250- 1530}{316 } \\\\ \to z =\frac{720}{316 } \\\\ \to z = 2.27$

The z-score is = 2.27

If the value of z-score= 1420

$\to z =\frac{1420- 1530}{316 } \\\\ \to z =\frac{-110}{316 } \\\\ \to z = -0.348$

The z-score is = -0.348

8 0

3 years ago