Ethan has $620 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. He buys a new bicycle for $427.57. He buys 4 bicycle reflectors for $11.38 each and a pair of bike gloves for $31.41. He plans to spend some or all of the money he has left to buy new biking outfits for $57.75 each. Write and solve an inequality which can be used to determine oo, the number of outfits Ethan can purchase while staying within his budget.

Answer:

Step-by-step explanation:

The lines are parallel to one another.

A linear system of equations has no solution if the graphs are parallel and the two lines never meet.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

There can be one solution to a system of two linear equations, an infinite number of solutions, or no solutions at all. The number of solutions to a system of equations can be used to categorize it.

A system is deemed consistent if there is at least one solution to the problem. A consistent system is said to be independent if it only has one possible outcome.

Thus, a linear system of equations has no solution if the graphs are parallel and the two lines never meet.

Learn more about the equation here,

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Answer:

False! all cross sections of spheres are circles!

Step-by-step explanation:

Answer:

5.06

Step-by-step explanation:

hope this helps!

Answer:

Should be D, the one you selected

Step-by-step explanation:

Hope it helps

Answer:

50cm of scarfs is equal to 2.5 nights of knitting.

Step-by-step explanation:

20cm= 1 night

10cm= 1/2 or 0.5 a night

40cm= 2 nights

50cm=2.5 nights

Answer:

the answer is p

Step-by-step explanation:

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

y ≥ 5

Step-by-step explanation:

Distribute

2y - 2 = 8

     +2.     +2

2y/2 = 10/2

y = 5

can i get the crown please ↑ ↑ ↑ ↑ ↑ ↑

they have pictures thats

the answer

Answer:

m= -3/2

Step-by-step explanation:

I hope this helps

Answer:

y=-2/3x+11

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(7-5)/(6-9)

m=2/-3

m=-2/3

y-y1=m(x-x1)

y-5=-2/3(x-9)

y=-2/3x+18/3+5

y=-2/3x+6+5

y=-2/3x+11

Answer:

9 cans

Step-by-step explanation:

45/30=1.5

1.5*6=9

Answer:

9 Cans of dog food

Step-by-step explanation:

You have to divide 45 the amount of cans within the 30 days. 45/30=1.5.And you have to multiply this by 6 days. 1.5×6=9

Answer:

Yes

Step-by-step explanation:

Use the completing the square method:

16(x^2-x)+4

=16((x-1/2)^2 - (1/2)^2)+4

=16((x-1/2)^2 - 1/4)+4

=16((x-1/2)^2) - 16/4 + 4

=16(x-1/2)^2

=4^2(x-1/2)^2

The product of two square is itself a square.

Answer:

y = 4x - 3

Step-by-step explanation:

The equation for a line is y = mx +c

We need to find m which is the gradient:

To do this pick any two coordinates on the line:

(1, 1) and (2, 5)

Next divide the difference of the y coordinates by the difference of the x coordinates:

5 - 1 / 2 - 1

= 4/1 = 4

so our gradient is 4

We'd write that as y = 4x + c

Next we need to find c which is the y-intercept

To do this just simply look for where the line crosses the y-axis

This is -3

So we'd write that as y = 4x - 3

Hope this helps :)

Answer:

y=4x-3

Step-by-step explanation:

it wewnt up 4

the baby value/y interseption was -3

Answer: divide by 100 is .0937

Step-by-step explanation:

Answer:

uhm no

Step-by-step explanation:

Answer:

arc 1 = 108 degrees

angle 2 = 54 degrees

Step-by-step explanation:

180 - 72 = 108   (half circle -72)

draw a line from center of circle to tangent point.

this line is perpendicular to the tangent line.

all radii are equal.

then, triangle made with the new line is isosceles with two equal angles.

those angles are 36 degrees each  (180 - 108 = 72, 72/2 = 36)

line drawn from center to tangent point is 90 degrees so:

90 - 36 = 54 degrees

Answer:

q=-14

Step-by-step explanation:

Answer:

Step-by-step explanation:

Im going to assume they want x+108.

You have 2 expressions sitting on a line, so when added to each other they must = 180

So add and set up an equality

x+108+x+78=180

Combine like terms

2x+186=180

Solve

2x+186=180

    -180    -180

2x+6=0

-6       -6

2x=-6

________

2

x=-3

Substitute X for -3

-3+108=

105.  

Answer:

1. c. 2

2. a. positive

Step-by-step explanation:

Hope this helps!

Answer:

slope is 2

horizontal line = 0, not undefined

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

x ≥ -1

y < 3

Step-by-step explanation:

Answer:

Inequality 1: x ≽-1

Inequality 2: x ≼ 3

Answer:

x1 = -1,x2 =3

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

Answer:

X=7

Step-by-step explanation:

1.) Subtract 2.3 from both sides makeing it 6.4x= 44.8

2.) DIvide 6.4 on both sides making it X=7

Answer:

17

Step-by-step explanation:

Substitute n = 10 into the n th term rule, that is

a₁₀ = 10 + 7 = 17

Answer:

b. is the right answer of your question

Answer:

106.5=0.01065

26.6=0.00266

60.35=0.00266

53.25=0.005325

Answer:

Step-by-step explanation:

[tex]sin90/10=sin45/y\\ \\ y=10sin45\\ \\ y=5\sqrt{2}[/tex]

Answer:

The answer is

[tex]5 \sqrt{2} [/tex]

Step-by-step explanation:

By using Pythagoras

Then

[tex] {y}^{2} + {y}^{2} = {10}^{2} \\ 2 {y}^{2} = 100 \\ {y}^{2} = 50 \\ y = \sqrt{50} = \sqrt{2 \times 25} = 5 \sqrt{2} [/tex]

Answer:

$1.95

Step-by-step explanation: