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3 years ago

10

lauren is the youngest of four sisters. the average of their ages(all different whole numbers) is 9 years. what is the oldest th

at lauren can be, in years?

1 answer:

Elina [12.6K]3 years ago

3 0

The max of Lauren's age --> the minimum of the others' ages, 1, 2 & 3

4*avg = 4*9 = 36

36 - (1+2+3) = 30

Lauren is 30 yrs of age, or younger.

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Choose the system of inequalities that best matches the graph below.<br><br> Will Mark Brainlest

Ira Lisetskai [31]

it is c.

Step-by-step explanation:

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3 years ago

The sum of three times a first number and twice a second number is 14. If the second number is subtracted from twice the first n

Yanka [14]

Answer: 4, 1

Step-by-Step Explanation:

Let the First Number be ‘x’
Let the Second Number be ‘y’

Framing 2 Equations :-

=> 3x + 2y = 14 (Eq. 1)
=> 2x - y = 7 (Eq. 2)

Multiplying Eq. 2 by 2 :-

=> 4x - 2y = 14 (Eq. 3)

Adding Eq. 1 and Eq. 3 we get :-

7x = 14 + 14
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x = 28/7
=> x = 4

Therefore, x = 4

Substitute value of ‘x’ in Eq. 1 :-

3x + 2y = 14
3(4) + 2y = 14
12 + 2y = 14
2y = 14 - 12
2y = 2
y = 2/2
=> y = 1

Therefore, y = 1

Hence,
First Number = 4
Second Number = 1

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2 years ago

PLEASE HELP! (04.02 MC) Write an equation of a line parallel to line EF in slope-intercept form that passes through the point (2

Tanya [424]

Answer:

C. y = -2/3x +22/3

Step-by-step explanation:

You can choose the correct answer by realizing that the line must have a y-intercept greater than 6. The given point is (2, 6) and the line goes up and to the left from there. The y-intercept is obviously more than 6.

The only reasonable answer choice is ...

y = -2/3x +22/3 . . . . . a y-intercept of 7 1/3

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There are a lot of ways to work problems like these. One is to write the equation of the line, then match that to the answer choices.

Another is to eliminate all the "impossible" answer choices, then choose the appropriate one from what's left. (The given line has a negative slope, eliminating choices A and B.)

I like to use the simplest method that will determine the correct answer. Here, that involves reading and understanding the question to obtain some idea of where the desired line must appear on the graph.

Of course, it helps to know that "slope-intercept form" is ...

y = mx +b . . . . . . m represents the slope; b is the y-intercept

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3 years ago

Jayden has $2.95 wroth of dimes and quarters he has 2 more quarter than dimes. Determine the number of dimes and the number of q

viva [34]

Answer:

7 Dimes and 9 Quarters

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

"Opportunity" and "Phoenix" are two of the robotic explorers on Mars. Opportunity landed at 2° south latitude, where Mars’ radiu

kipiarov [429]

Answer:

(a)Distance traveled by each explorer travel as Mars rotates by 1 radian

Opportunity=2108.71 miles

Phoenix =295.94 miles

(b)Number of hours it takes Mars to rotate 1 radian=3.9152 hours

(c)Speed of each explorer around Mars.

Opportunity=538.59 miles per hour
Phoenix =75.59 miles per hour

Step-by-step explanation:

<u>Part A</u>

For any given parallel of latitude $\text{Circumference}=2\pi R \cos \beta$ where \beta$ is the angle of latitude.$

Opportunity landed at 2° south latitude, where Mars’ radius is about 2110 miles.

$\text{Circumference at 2\°S latitude}=2\pi*2110* \cos 2^\circ\\=13249.44$ miles$

Phoenix landed at 68° north latitude, where Mars’ radius is about 790 miles.

$\text{Circumference at 68\°N latitude}=2\pi*790* \cos 68^\circ\\=1859.44$ miles$

<u>Part B</u>

Next, we determine the distance (Length of arc) covered by each explorer as Mars rotates by 1 radian.

$\text{Length of arc (in radian)}=\dfrac{\theta}{2\pi} \times $Circumference$

<u>Opportunity's Distance</u>

$=\dfrac{1}{2\pi} \times 13249.44\\\\ =2108.71$ miles$

<u>Phoenix's Distance</u>

$=\dfrac{1}{2\pi} \times 1859.44\\\\ =295.94$ miles$

<u>Part C</u>

Mars rotates on its axis once every 24.6 Earth-hours.

Therefore:

$\dfrac{24.6}{2\pi} \approx $ 3.9152 hour per radian$

<u>Part D:</u>Speed of each explorer

$\text{Speed}=\dfrac{\text{Distance}}{\text{Time}}$

$\text{Speed of Opportunity = }\dfrac{2108.71}{3.9152}\\$=538.59 miles per hour\\\\Speed of Phoenix =\dfrac{295.94}{3.9154}\\=75.59$ miles per hour$

4 0

3 years ago