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3 years ago

#5

Mathematics

2 answers:

weqwewe [10]3 years ago

6 0

The answer is C. that is 67 percent of the original.

sergiy2304 [10]3 years ago

6 0

C. $ 40.10
First you have to find out which porcentage iss 33 out ouf $ 59.85

59.85/100 * 33= $19.75. Since you are reducing its value youll subtract, 59.85-19.75 = $40.10

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A person walks 1/2 miles trail in 1/6 hour what is their average speed as a unit rate

tatiyna

Answer:

6miles/hour

Step-by-step explanation:

Speed = Distance/time

So speed is: $\frac{\frac{1}{2}}{\frac{1}{6}}$

You will get 6/2 from this so you get 6miles/hour

4 0

3 years ago

How many Solutions does this system have? (1 point)

mixas84 [53]

The given system of equation that is $2x+y=3$ and $6x=9-3y$ has infinite number of solutions.

Option -C.

Solution:

Need to determine number of solution given system of equation has.

$\begin{array}{l}{2 x+y=3} \\\\ {6 x=9-3 y}\end{array}$

Let us first bring the equation in standard form for comparison

$\begin{array}{l}{2 x+y-3=0} \\\\ {6 x+3 y-9=0}\end{array}$

$\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}}$

To check how many solutions are there for system of equations $a_{1} x+b_{1} y+c_{1}=0 \text{ and }a_{2} x+b_{2} y+c_{2}=0$ , we need to compare ratios of $\frac{a_{1}}{a_{2}}, \frac{b_{1}}{b_{2}} \text { and } \frac{c_{1}}{c_{2}}$

In our case,

$a_{1} = 2, b_{1}= 1\text{ and }c_{1}= -3$

$a_{2} = 6, b_{2} = 3,\text{ and }c_{2} = -9$

$\begin{array}{l}{\Rightarrow \frac{a_{1}}{a_{2}}=\frac{2}{6}=\frac{1}{3}} \\\\ {\Rightarrow \frac{b_{1}}{b_{2}}=\frac{1}{3}} \\\\ {\Rightarrow \frac{c_{1}}{c_{2}}=\frac{-3}{-9}=\frac{1}{3}} \\\\ {\Rightarrow \frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}=\frac{1}{3}}\end{array}$

As $\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}$ , so given system of equations have infinite number of solutions.

Hence, we can conclude that system has infinite number of solutions.

5 0

3 years ago

• A research scientist measures the outside temperature, in degrees Fahrenheit, at various

polet [3.4K]

Answer:

{t|60 <= t <= 85}

Step-by-step explanation:

The temperatures were measures at different times, but does not stop the values being real numbers (i.e. not discrete, or integer values).

So the range of the function is the set of all values between the minimum and maximum measured during the measuring interval (domain) of hours two and twenty-two.

The minimum value = 60F

The maximum value = 85F

So the interval of the range is [60,85], in interval notation.

In set-builder notation, it is

{t|60 <= t <= 85}

5 0

3 years ago

Two boats sail away from a buoy making a 90 degree angle. The first boat is 165 meters away and is traveling at 25 m/s. The seco

NikAS [45]

Answer:

Step-by-step explanation:

lets say in the shown triangle x=165