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MAVERICK [17]
1 year ago
15

Tallulah has a dimes and y nickels. She has at most 18 coins worth at

Mathematics
1 answer:
nexus9112 [7]1 year ago
3 0

One possible solution for the system of inequalities is given as follows:

13 dimes and 2 nickels.

<h3>How to obtain the system of inequalities?</h3>

The first step in obtaining the system of inequalities is identifying the variables, which are given as follows:

  • Variable x: number of dimes that Tallulah has.
  • Variable y: number of nickels that Tallulah has.

Tallulah has at most 18 coins, hence:

x + y ≤ 18.

A nickel is worth 5 cents = $0.05, while a dime is worth 10 cents = $0.1, and Tallulah has at least $1.20 combined, hence:

0.1x + 0.05y ≥ 1.20.

The solution is given by the shaded region on the image given at the end of the answer, and one possible solution is given as follows:

x = 13, y = 2.

Which means that she has 13 dimes and 2 nickels.

More can be learned about a system of inequalities at brainly.com/question/9774970

#SPJ1

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2 years ago
2y+8x=1 in slope intercept form
anzhelika [568]
The slope-intercept form is y = mx + b.
Following that kind of form becomes
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y = -4x + 1/2

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3 years ago
HELPPPP!!!PLEASE!!!!!
lbvjy [14]

Answer:

x=40

Step-by-step explanation:

Both angles are equal. So the equation needs to equal 156.

Just plug in points for x until the answer is 156.

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3 0
2 years ago
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Let L be the line parametrized by x = 2 + 2t, y = 3t, z = −1 − t. (a) Find a linear equation for the plane that is perpendicular
Elden [556K]

Answer:

Step-by-step explanation:

Given that L is a line parametrized by

x = 2 + 2t, y = 3t, z = −1 − t

The plane perpendicular to the line will have normal as this line and hence direction ratios of normal would be coefficient of t in x,y,z

i.e. (2,3,-1)

So equation of the plane would be of the form

2x+3y-z =K

Use the fact that the plane passes through (2,0,-1) and hence this point will satisfy this equation.

2(2)+3(0)-(-1) =K\\K =5

So equation is

2x+3y-z =5

b) Substitute general point of L in the plane to find the intersecting point

2(2+2t)+3t-(-1-t) =5\\4+8t+1=5\\8t=0\\t=0\\(x,y,z) = (2,0,-1)

i.e. same point given.

3 0
3 years ago
Write an equation in slope-Intercept form for the line with slope 2/5 and y- ntercept - 3 .
Trava [24]

Answer:

y = \frac{2}{5} x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = \frac{2}{5} and c = - 3 , then

y = \frac{2}{5} x - 3 ← equation of line

7 0
3 years ago
Read 2 more answers
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