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Over [174]
1 year ago
9

You need at least $485 to go on a trip to New York City. You already have $100 saved for the trip. You decide to save an additio

nal $35 per week. Which inequality shows the number of weeks, w, you need to save to be able to go on the trip?
Mathematics
2 answers:
Komok [63]1 year ago
7 0

485  \leqslant 100 + 35x
x = weeks
elena-14-01-66 [18.8K]1 year ago
3 0
Remark
The entire trip costs 485 dollars. She has a hundred, and you are looking for the number of weeks needed to save for the trip.

Step one
Set up the basic equation.
35w + 100 ≥ 485

Step two
solve
35w + 100 ≥ 485        Subtract 100 from both sides.
35W ≥ 485 - 100         
35W ≥ 385 Divide by 35
W ≥ 385 / 35
W ≥ 11 weeks.

Since we don't have choices, we can't eliminate those that are wrong.

If I had to guess I would say it was something that looked like
35W + 100 ≥ 485

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A series contains 18 numbers and has a sum of 4,185. The last number of the series is 275. What is the first number?
dusya [7]
The sum of arithmetic series is given by:
Sn=n/2(a1+an)
where:
n=number of terms
a1=first term
an=nth term
but
n=18, an=275, Sn=4185
plugging the values in the formula we get:
4185=18/2(a1+275)
simplifying this we get:
4185=9(a1+275)
dividing through by 9 we get:
465=a1+275
thus
a1=465-275
a1=190

Answer: first number is 190
3 0
2 years ago
At one of New York’s traffic signals, if more than 17 cars are held up at the intersection, a traffic officer will intervene and
Alinara [238K]
Scenarios B, D, and F require a police officer. In scenario B, 1:00-2:00pm, and scenario F, 5:00-6:00pm, there are 24 cars. In scenario D, 3:00-4:00pm, there are 21 cars. Both 24 and 21 are greater than 17, so a traffic officer is needed. However, in other scenarios, the number of cars are all less than 17, and no officer is needed.
8 0
1 year ago
Read 2 more answers
Find a line that lies entirely in the set defined by the equation x2 + y2 − z2 = 1.
RUDIKE [14]

Answer:

x=1\,,\,y=t\,,\,z=t

Step-by-step explanation:

A line is a one-dimensional figure that has no thickness and extends infinitely in both directions.

A line segment is a line that has two end-points and a ray is a line that has one end-point.

Given equation is x^2+y^2-z^2=1

To find : a line that lies entirely in the set defined by the given equation.

Solution:

Take x=1\,,\,y=t\,,\,z=t

Check:

L.H.S=1^2+t^2-t^2=1+0=1=R.H.S

Therefore, x=1\,,\,y=t\,,\,z=t satisfy the given equation.

8 0
1 year ago
Complete the equation of the line through (-6,5)(−6,5)left parenthesis, minus, 6, comma, 5, right parenthesis and (-3,-3)(−3,−3)
goldenfox [79]

Answer:

The answer to your question is:   y = -8/3 x - 11

Step-by-step explanation:

A (-6, 5)

B (-3, -3)

Process

1.- Find the slope of the line

Formula

             m = \frac{y2 - y1}{x2 - x1}

Substitution

             m = \frac{-3 - 5}{-3 + 6}

Simplifying

            m = \frac{- 8 }{3}

2.- Find the equation of the line

Formula

              ( y - y1) = m(x - x1)                    

Substitution

             ( y + 3) = -8/3 (x + 3)

Simplifying

              y + 3 = -8/3 x - 8

              y = -8/3 x - 8 - 3

              y = -8/3 x - 11

4 0
1 year ago
I rent a gym for $150.00 for 30 students. Another time I rent the gym for $270.00 for 70 students. I need to find a fixed rate.
masha68 [24]

Answer: y = 3x + 60

<u>Step-by-step explanation:</u>

Set up two equations and solve the system:

 270 = 70x + b

- <u>(150 = 30x + b)</u>

  120 = 40x

    3   =  x

Input "x" into one of the equations and solve for "b":

150 = 30x + b

150 = 30(3) + b

150 = 90 + b

60 = b


Equation: y = 3x + 60

This means that there is a flat fee of $60 plus a rate of $3 per student


5 0
2 years ago
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