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3 years ago

Solve the system of equations algebraically: 2x - y = -1 3x + y = 6

1 answer:

7 0

Using substitution method
from the first equ
2x+y=-1
y= -1-2x --------(3)
put equ 3 into equ 2
3x -1-2x=6
3x-2x=6+1
x =7
put x+7 into equ 1
2(7) + y = -1
14 + Y =-1
y= -1-14
y=-15
so
x=7 and y=-15<span />

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The Martinez family is traveling to a play in Richmond. A round trip train ticket costs $8.00. Children under the age of 7 trave

tatuchka [14]

Answer: The Martinex family spent $ 82 for train ride and play tickets.

Step-by-step explanation:

Round trip train cost = $ 8.00

For children it cost $ 4.00.

For adult, ticket for play costs= $ 14.00

For children , ticket for play costs= $ 6.00

Mr. And Mrs. Martinez will go with their children, Ricky, Ramona, and Thomas.

2 adults and 3 children ( only one of them is under 7.)

For train we consider only 1 as child rest as adult.

Train cost = 4 x($ 8.00)+ 1 x ($ 4.00)

= $ 32+4 = $36

For play , total cost = 2 x ( $ 14.00) + 3 x ($6)

= $(28+18)

= $ 46

Total spending ( combined) = $36+$ 46

= $82

So, the Martinex family spent $ 82 for train ride and play tickets.

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3 years ago

A biologist is studying the exponential growth of a colony of bacterial cells. The table gives the

leonid [27]

The exponential function that represents the number of cells present at x hours is y = 100(2)ˣ

<h3>What is an exponential function?</h3>

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

Let y represent the number of cells after x hours.

From the table, at point (0, 100):

100 = ab⁰

a = 100

At point (1, 200):

200 = 100b

b = 2

The exponential function is y = 100(2)ˣ

Find out more on exponential function at: brainly.com/question/12940982

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2 years ago

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Illusion [34]

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3 years ago

Read 2 more answers

Jasmine is riding on a carousal. She is sitting 9.5 feet from the center and it takes 20 seconds to

rusak2 [61]

Answer:

<em>2.983 </em>ft/sec

Step-by-step explanation:

Given that

Distance between center and Jasmine riding on a carousal = 9.5 feet

Time taken to complete one rotation = 20 seconds

To find:

Jasmine's linear speed = ?

Solution:

Number of revolutions per minute = $\frac{60}{20} = 3$

Formula for linear speed is given as:

$v=\dfrac{2\pi}{60}\cdot r\cdot RPM$

Where $r$ is the radius of circular path and

$RPM$ is the number of revolutions per minute.

$v=\dfrac{2\pi}{60}\times 9.5 \times 3\\\Rightarrow v=\dfrac{\pi}{10}\times9.5 \\\Rightarrow v = \bold{2.983\ ft/sec}$

Therefore, the linear speed is <em>2.983 ft/sec.</em>

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3 years ago

Which of the following properly describe "slope"? Select all that apply

son4ous [18]

Boxes 1 and 4 apply :)

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3 years ago