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zysi [14]
2 years ago
6

Don’t save the answer and I really need help

Mathematics
1 answer:
Ksju [112]2 years ago
3 0

9514 1404 393

Answer:

  zero solutions

Step-by-step explanation:

The first inequality has a boundary line with a slope of 3 and a y-intercept of 9. Shading is above the boundary line.

The second inequality has a parallel boundary line with a slope of 3 and a y-intercept somewhat lower, at -1. Shading is below this boundary line.

There is a gap between the shaded areas, so no points will be solutions to both inequalities.

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Heather makes $6.50 per hour. Every three months, she is eligible for a 2% raise. How much will she make after 2 years if she ge
sammy [17]

Answer:

$7.62 per hour


Step-by-step explanation:

Since, Heather gets a raise every 3 months, in 2 years, she will get a raise 8 times (2years = 24 months, 24 divided by 3 is 8).

Now it becomes a compound growth problem. We can use the formula shown below to solve these type of problems.

F=P(1+r)^t

Where,

  • F is the future value (what we want to find)
  • P is the present rate ($6.5)
  • r is the rate of growth, in decimal (2% growth means 0.02)
  • t is the time frame, number of times compounding occurs (for our case we have figured it to be 8)

<u>Now plugging in all the info, we get the value of F:</u>

F=P(1+r)^t\\F=6.5(1+0.02)^8\\F=6.5(1.02)^8\\F=7.62


Thus, after 2 years, Heather's hourly rate will be $7.62


7 0
3 years ago
Write an equation for the line through (2,2), y-intercept 10
nasty-shy [4]
Y = -5x + 10
Your welcome for the help!
4 0
3 years ago
| 9. The distance between Town A and Town B was 108 km. A car and a van left Town A at 12 00 for Town B. On reaching Town B, the
Westkost [7]

Answer:

a)  Time until both vehicles meet is 1.5 hours after starting at noon.  That makes it 1:30PM.

b)  Average speed of car is 84 km/h

Step-by-step explanation:

A -----------------------z------------B

          <u>Left</u>      <u>Speed(km/h)</u>      <u>Time</u>

Car:   12PM            X  

Van:   12PM           60

Car/Van

DistanceCar        AB + z

DistanceVan       Az

Ratio:                  (AB+z)/Az  = 7/5

Time until both meet = T (in hours)

Distance Car:            xT

Distance Van:           60T

====

  xT = AB + z

  60T = Az

---

(xT/60T)= (7/5)

x = 60(7/5)

x = 84 km/h

=====

Time for car to reach B is:    time (hr) = 108 km/(84 km/h)

                                                 time = 1.286 hours

Distance for at 1.289 hours is:    distance (km) = (60 km/h)*(1.286 h)

                                                   distance = 77.14 km

At 1.286 hours, the car reverses direction.  The van is (108 km - 77.14 km) or 30.86 km away.

Add the distances travelled by both vehicles after the car reverses direction at 1.286 hours.  The sum will be 30.86 km when they meet, at time of T.

Car Distance + Van Distance = 30.86 km

T(84 km/h) + t(60 km)

They meet when they are 0 km apart, which can be modeled with the following equation:

Van travel Distance - Car Travel Distance = 0 starting at 1.286 hr.

Let <u>t</u> be the time <u>after</u> 1.286 hours that both vehicles meet/collide.

t*(60 km/h)  +  t(84 km/h) = 30.86 km

t(60+84) = 30.86 km

t(144 km/h) = 30.86 km

t = 0.2143 hr

Total time until the car and van meet is 1.286 hr + 0.2143 hr for a total of 1.50 hours.

=================

a)  Time until both vehicles meet is 1.5 hours after starting at noon.  That makes it 1:30PM.

b)  Average speed of car is 84 km/h

==============

<u>CHECK</u>

Is the ratio of the distance travelled by the car and the van until they meet in the ratio of 7/5?

Car distance is (1.5 hr)(84 km/h) = 126 km

Van distance is (1.5 hr)(60 km/h) = 90.0 km

Ratio is 126/90 or 1.4

Ratio of 7/5 is 1.4

<u><em>YES</em></u>

     

3 0
2 years ago
Please help me you will be my fav person ever if u do
Dovator [93]

Answer:

For the first one ASA

Second SAS

Third SSS

Sorry if i am wrong

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A bag contains 4 blue marbles, 6 red marbles, 3 yellow marbles, and 5 black marbles. What is the probability that you choose two
Ronch [10]

Answer:

.065

Step-by-step explanation:

The total number of marbles is

4 blue marbles+ 6 red marbles+ 3 yellow marbles+5 black marbles=18

P(1st black) = Black/total = 5/18

You keep the marble

The total number of marbles is

4 blue marbles+ 6 red marbles+ 3 yellow marbles+4 black marbles=17

P(2st black) = Black/total = 4/17

Multiply the probabilities together

P(black,black)= 5/18 * 4/17 =10/153=.065359477 =.065

4 0
3 years ago
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