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3 years ago

Solve for c.Give an exact answer.0.2(10−5c)=5c−16

Mathematics

1 answer:

Zielflug [23.3K]3 years ago

5 0

C = 3
You isolate the variable by dividing each side by factors that don’t contain the variable

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At a competition with 7 runners, medals are awarded for first, second, and

il63 [147K]

Answer:

Option A - Permutation; number of ways = 210

Step-by-step explanation:

Given : At a competition with 7 runners, medals are awarded for first, second, and third places. Each of the 3 medals is different.

To find : How many ways are there to award the medals?

Solution :

There are 7 runners but medals are three.

The first runner up got first medal as one is locked.

The second runner up got second medal as second is locked.

The third runner up got the third medal.

So, There is a permutation.

Number of ways to award the medals is $^7P_3$

We know, $^nP_r=\frac{n!}{(n-r)!}$

Substitute the values,

$^7P_3=\frac{7!}{(7-3)!}$

$^7P_3=\frac{7\times 6\times 5\times 4!}{4!}$

$^7P_3=210$

Therefore, Option A is correct.

Permutation; number of ways = 210

6 0

3 years ago

How many full teaspoons should the child take of the prescribed 15mL of medication?

ra1l [238]

Answer:

The correct answer is three full teaspoons, assuming US measurements.

Step-by-step explanation:

15ml = 3.04326 teaspoons. To do this yourself, divide the volume value by 4.929

3 0

3 years ago

Compute the total pay:

stiv31 [10]

Answer:

$112.65

Step-by-step explanation:

7.25 x 8 = 58

58 + 54.65 = 112.65

3 0

3 years ago

The diagram rerpesents responses to a survey that include statements p and q . Which statement is true?

BARSIC [14]

Answer:

C. The number of responces $p\vee q$ is also 46

Step-by-step explanation:

Note that:

$p\wedge q$ means both p and q must hold;
$p\vee q$ means either p or q must hold.

From the diagram,

the number of responses $p\wedge q$ is 46;
the number of responces $p\vee q$ is also 46;
the number of responces $p\setminus q$ is 0;
the number of responces which are neuther p nor q is 20.

So, you can state that the correct answer is C

4 0

3 years ago

Read 2 more answers

calculate the total potential energy in kj of an object whose mass is 20 kg when it is located 20 m below a datum level in a loc

Airida [17]

Answer:

The energy in object is 3.8 Kilo Joules.

Step-by-step explanation:

We are given the following in the question:

Mass = 20 kg

Height,h = 20 m

g=9.5 m/s^2

Formula:

Potential energy =

$E = Mgh$

Putting value we get,

$E = 20(20)(9.5)\\E = 3800~J\\E = 3.8~KJ$

Thus, the energy in object is 3.8 Kilo Joules.

5 0

3 years ago