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3 years ago

If the bus is on time to the school 90% of the time, how many days can the school expect the bus on time out of 160 days?

Mathematics

1 answer:

andre [41]3 years ago

5 0

Answer:

144 days

Step-by-step explanation:

160 · 0.9

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Please help me ASAP

stellarik [79]

Answer:

The Graph is shown below

Step-by-step explanation:

The Graph of a Function

Given the function:

$\displaystyle y=g(x)=-\frac{3}{2}(x-2)^2$

It's required to plot the graph of g(x). Let's give x some values:

x={-2,0,2,4,6}

And calculate the values of y:

$\displaystyle y=g(-2)=-\frac{3}{2}(-2-2)^2=-\frac{3}{2}(-4)^2==-\frac{3}{2}*16=-24$

Point (-2,-24)

$\displaystyle y=g(0)=-\frac{3}{2}(0-2)^2=-\frac{3}{2}(-2)^2=-\frac{3}{2}*4=-6$

Point (0,-6)

$\displaystyle y=g(2)=-\frac{3}{2}(2-2)^2=-\frac{3}{2}(0)^2=0$

Point (2,0)

$\displaystyle y=g(4)=-\frac{3}{2}(4-2)^2=-\frac{3}{2}(2)^2=-\frac{3}{2}*4=-6$

Point (4,-6)

$\displaystyle y=g(6)=-\frac{3}{2}(6-2)^2=-\frac{3}{2}(4)^2=-\frac{3}{2}*16=-24$

Point (6,-24)

The graph is shown in the image below

8 0

3 years ago

Choose the linear inequality that describes the graph. The gray area represents the shaded region.

jek_recluse [69]

Answer:

2x + 3y ≥ 5

Step-by-step explanation:

See the graph attached.

The bold straight line passes through the points (1,1) and (4,-1).

Therefore, the equation of the straight line will be

$\frac{y + 1}{- 1 - 1} = \frac{x - 4}{4 - 1}$

⇒ 3(y + 1) = - 2(x - 4)

⇒ 3y + 3 = - 2x + 8

⇒ 2x + 3y = 5 ............. (1)

Now, the shaded region i.e. the solution to the inequality does not include the origin(0,0).

So, putting x = 0 and y = 0 in the equation (1) we get, 0 < 5

Therefore, the inequality equation is 2x + 3y ≥ 5 (Answer)

6 0

3 years ago

Jen needs to save $180 for a new camping tent. She is able to save $9 each week. How many weeks will Jen need to save to reach h

charle [14.2K]

It will take jen 20 weeks till she can get a new camping tent

5 0

3 years ago

The amount of $15,000 is invested in two funds paying 2% and 5% simple interest. If the annual interest is $540, how much of the

Lostsunrise [7]

Answer:

The amount $15000 is divided as

in 2% = $7000

in 5% = $8000

Step-by-step explanation:

It is given that the total amount is $15000 and rates of interests are 2% and 5%.

Let the amount invested in 2% be "x", so the amount invested in 5% is (15000 - x).

The annual interest on x part is given as,

= $(\frac{2}{100})(x)$

Similarly, The annual interest on (15000 - x) part is given as,

= $(\frac{5}{100})(15000 - x)$

the total annual interest is given as $540

Thus, 540 = $(\frac{5}{100})(15000 - x) + (\frac{2}{100})(x)$

54000 = $2(x) + 75000 - 5(x)$

21000 = 3(x)

x = $\frac{21000}{3}$ = 7000

Thus the shares are $7000 and (15000 - 7000) $8000 .

8 0

3 years ago

the function d(x) represent the distance traveled by a train traveling 80 mph during t hours after 1:00 pm. what does d (5)-d(2)

Tema [17]

The function d(t) represents the distance traveled by the train after t hours. d(5) is the total distance traveled by the train after 5 hours, which means 6:00 pm. The d(2) is the total distance traveled by the train after two hours, 3:00 pm. The expression d(5) - d(2) represents the total distance traveled by the train from 3:00 pm to 6:00 pm or for traveling at a constant speed for 3 hours.

7 0

3 years ago