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Bumek [7]
3 years ago
5

Determine wether the given number is a solution of the given equation 10;4-8x=-69

Mathematics
2 answers:
I am Lyosha [343]3 years ago
5 0
No because if you subtract 4 from -69 it equals -73. then if you put -73 divided by -8 it equals positive 9.125.

Or if you put in 10 where the x is you would do 4-8 *10=-64
                                                                                 4-80=-69
                                                                                   -76=-69
otez555 [7]3 years ago
4 0
4 - 8x = - 69
-8x = -69 - 4
-8x = - 73
x = -73/-8
x = 9.125.....no, 10 is not a solution

or, instead of solving for x, we can just sub in 10 for x and see if it makes the equation true.

4 - 8x = -69
4 - 8(10) = -69
4 - 80 = -69
-76 = -69 (incorrect...therefore, it is not a solution)
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| 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
It costs more to produce defective items - since they must be scrapped or reworked - than it does to produce non-defective items
Shtirlitz [24]

Answer:

1,082

Step-by-step explanation:

The sample size n in Simple Random Sampling is given by

\bf n=\frac{z^2s^2}{e^2}

where  

z = 1.645 is the critical value for a 90% confidence level (*)

s = 2 is the estimated population standard deviation

e = 0.1 mm points is the margin of error

so  

\bf n=\frac{z^2s^2}{e^2}=\frac{(1.645)^2(2)^2}{(0.1)^2}=1,082.22\approx 1,083

rounded up to the nearest integer.

So the manufacturer should test 1,083 parts.

---------------------------------------------------------------------------------------

(*)This is a point z such that the area under the Normal curve N(0,1) outside the interval [-z, z] equals 10% = 0.1

It can be obtained in Excel with

NORMINV(1-0.05,0,1)

and in OpenOffice Calc with

NORMINV(1-0.05;0;1)

5 0
3 years ago
Simplify this expression: (a^8*a^6)^1/7/a^2
Ulleksa [173]
<span><span>Simpliest form is a^2/a^2 to get 1

</span></span>

3 0
3 years ago
local radio station WMTH schedules 2 minutes of news for every 20 minutes of music complete the ratios
Katen [24]

Answer:

7/20

Step-by-step explanation:

because it is 2 minutes of news for every/ 20 minutes of music.

4 0
2 years ago
In a 100-percent-reserve banking system, if a customer deposits $100 of currency into a bank, then the money supply:
Nataliya [291]

Answer:

Option D.

Step-by-step explanation:

The total stock of currency and other liquid instruments circulating in the economy of a country as of a particular time is known as money supply.

If the reserve requirements of banks is least then banks are able to loan more money, that will increases the overall supply of money in the economy.

In 100% reserve banking system, 100% amount of each depositor's funds would be required to keep by bank for immediate withdrawal on demand.

100% reserve banking system is also known as Full-reserve banking system.

It means, if a customer deposits $100 of currency into a bank with 100% reserve banking system, then the money supply remains the same.

Therefore, the correct option is D.

5 0
3 years ago
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