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ololo11 [35]
3 years ago
14

Please help. it’s really important!

Mathematics
1 answer:
Murrr4er [49]3 years ago
7 0

Answer:

y = 2x-2 if x <= 2

y = 3      if x > 2

Step-by-step explanation:

y = mx + b

and closed dot means = to

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Mr Smith's art class took a bus trip to an art museum. The bus averaged 65 miles per hour on the highway and 25 miles per hour i
Leya [2.2K]
Let x be the distance traveled on the highway and y the distance traveled in the city, so:
\left \{ {{x+y=375} \atop { \frac{1}{65}x+ \frac{1}{25}y =7}} \right.
 
Now, the system of equations in matrix form will be:
\left[\begin{array}{ccc}1&1&\\ \frac{1}{65} & \frac{1}{25} &\end{array}\right]   \left[\begin{array}{ccc}x&\\y&\end{array}\right] =  \left[\begin{array}{ccc}375&\\7&\end{array}\right]

Next, we are going to find the determinant:
D=  \left[\begin{array}{ccc}1&1\\ \frac{1}{65} & \frac{1}{25} \end{array}\right] =(1)( \frac{1}{25}) - (1)( \frac{1}{65} )= \frac{8}{325}
Next, we are going to find the determinant of x:
D_{x} =  \left[\begin{array}{ccc}375&1\\7& \frac{1}{25} \end{array}\right] = (375)( \frac{1}{25} )-(1)(7)=8

Now, we can find x:
x=  \frac{ D_{x} }{D} = \frac{8}{ \frac{8}{325} } =325mi

Now that we know the value of x, we can find y:
y=375-325=50mi

Remember that time equals distance over velocity; therefore, the time on the highway will be:
t_{h} = \frac{325}{65} =5hours
An the time on the city will be:
t_{c} = \frac{50}{25} =2hours

We can conclude that the bus was five hours on the highway and two hours in the city. 

8 0
3 years ago
corine in making potato salad for each bowl of potato salad she needs 1/4 cup of potatoes how many cups of potatoes will she use
NARA [144]

Answer:

8 cups of potatoes are needed

Step-by-step explanation:

One way of doing this work is to write out

1/4 cup                                             1 cup

------------- , which is equivalent to  ------------ (a unit rate)

 1 bowl                                              4 bowl

and then multiply this unit rate by 32 bowls:

(1/4)(32 bowls) = 8 cups of potatoes are needed

5 0
2 years ago
Can someone please help
Alik [6]

Answer:

B. 81 weeks

Step-by-step explanation:

If we plug everything into the equation it should look like this:

82 = w + 1

Then we would subtract 1 from both sides, then we are left with <em>w:</em>

<em />w = 81<em />

<em />

<em>Hope this helps!</em>

8 0
3 years ago
Please help with question 20! Thanks&lt;3
kkurt [141]

Answer:

Population of Town A = 19,575

Population of Town B = 52,200

Population of Town C = 20,880

Step-by-step explanation:

The ratio of..

A : B = 3 : 8

B : C = 5 : 2

Both A : B and B : C have B in their ratios. What we can do is make B the same in both ratios and then create a ratio between all three towns.

A : B = (3 : 8) x 5 = 15 : 40

B : C = (5 : 2) x 8 = 40 : 16

A : B : C

15 : 40 : 16

Now, to find the population of each town we can write the following equation using the numbers from our ratio between all three towns and set it to the given population.

15x + 40x + 16x = 92,655

Solve for x.

71x = 92,655

x = 1,305

Finally, we can use the value of x to find the population of each town.

Population of Town A = 15x

Population of Town A = 15(1,305)

Population of Town A = 19,575

Population of Town B = 40x

Population of Town B = 40(1,305)

Population of Town B = 52,200

Population of Town C = 16x

Population of Town C = 16(1,305)

Population of Town C = 20,880

~Hope this helps!~

3 0
3 years ago
What is the reciprocal of 6/5?<br> a. 12/10<br> b. 1 1/5<br> c. 1<br> d. 5/6
galina1969 [7]
<span>The reciprocal of a fraction is simply the reverse position of the original fraction, its numerator and denominator. It is represented by the formula of 1/number (fraction). To get the reciprocal of the number, divide one by the fractional number. You are given the number 6/5. So you have a numerator of 6 and a denominator of five. Simply swap them and you get the new numerator as 5 and the new denominator as 6. Or you can just divide 1/(6/5) then you will get 5/6. The answer is letter D.</span>
3 0
3 years ago
Read 2 more answers
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