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kogti [31]
3 years ago
11

When fritz drives to work his trip takes 4848 ​minutes, but when he takes the train it takes 4040 minutes. find the distance fri

tz travels to work if the train travels an average of 66 miles per hour faster than his driving. assume that the train travels the same distance as the car?
Mathematics
1 answer:
stepan [7]3 years ago
8 0
Let n be the speed of Fritzs' car, and n+6 be the speed of the train. Then:
4/5 (n)=2/3 (n+6)
4n/5=2n+12/3
10n+60=12n
2n=60
n=30
Fritz travels 4/5(30), or 24 miles to work
☺☺☺☺

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The cost c, for manufacturing x flags is given by c=x? -24x +39. Find the number of flags manufactured if the cost is $120.
IRINA_888 [86]

9514 1404 393

Answer:

  27

Step-by-step explanation:

You want to find x when c = 120.

  120 = x^2 -24x +39

  x^2 -24x -81 = 0 . . . . . . subtract 120 to put in standard form

  (x -27)(x +3) = 0 . . . . .  .factor it

Solutions are ...

  x = 27, x = -3 . . . . . values of x that make the factors zero

The number of flags manufactured for a cost of $120 is 27 flags.

8 0
3 years ago
A classroom has a length of 30 ft. and a width of 20 ft. The flooring is to be replaced by tiles. If each tile has a length of 3
Mashcka [7]

Answer:

100

Step-by-step explanation:

Hello! to calculate the number of tiles needed for the floor you need two things

1. number of tiles that fit across the width, this is achieved by dividing the total width by the width of each tile

Width=20ft=240in

N1=\frac{240}{24} =10

2.number of tiles that fit in the logitude, this is achieved by dividing the total length by the length of each tile.

leght=30ft=360in

N2=\frac{360}{36} =10

Finally, you multiply the number of tiles that fit in width by the number of tiles that fit in length.

N=10X10=100

3 0
3 years ago
Determine the number of possible solutions for a triangle with B=37 degrees, a=32, b=27
vladimir1956 [14]

Answer:

Two possible solutions

Step-by-step explanation:

we know that

Applying the law of sines

\frac{a}{sin(A)}=\frac{b}{Sin(B)}=\frac{c}{Sin(C)}

we have

a=32\ units

b=27\ units

B=37\°

step 1

Find the measure of angle A

\frac{a}{sin(A)}=\frac{b}{Sin(B)}

substitute the values

\frac{32}{sin(A)}=\frac{27}{Sin(37\°)}

sin(A)=(32)Sin(37\°)/27=0.71326

A=arcsin(0.71326)=45.5\°

The measure of angle A could have two measures

the first measure-------> A=45.5\°

the second measure -----> A=180\°-45.5\°=134.5\°

step 2

Find the first measure of angle C

Remember that the sum of the internal angles of a triangle must be equal to  180\°

A+B+C=180\°

substitute the values

A=45.5\°

B=37\°

45.5\°+37\°+C=180\°

C=180\°-(45.5\°+37\°)=97.5\°

step 3

Find the first length of side c

\frac{a}{sin(A)}=\frac{c}{Sin(C)}

substitute the values

\frac{32}{sin(37\°)}=\frac{c}{Sin(97.5\°)}

c=Sin(97.5\°)\frac{32}{sin(37\°)}=52.7\ units

therefore

the measures for the first solution of the triangle are

A=45.5\° , a=32\ units

B=37\° , b=27\ units

C=97.5\° , b=52.7\ units

step 4    

Find the second measure of angle C with the second measure of angle A

Remember that the sum of the internal angles of a triangle must be equal to  180\°

A+B+C=180\°

substitute the values

A=134.5\°

B=37\°

134.5\°+37\°+C=180\°

C=180\°-(134.5\°+37\°)=8.5\°

step 5

Find the second length of side c

\frac{a}{sin(A)}=\frac{c}{Sin(C)}

substitute the values

\frac{32}{sin(37\°)}=\frac{c}{Sin(8.5\°)}

c=Sin(8.5\°)\frac{32}{sin(37\°)}=7.9\ units

therefore

the measures for the second solution of the triangle are

A=45.5\° , a=32\ units

B=37\° , b=27\ units

C=8.5\° , b=7.9\ units

6 0
3 years ago
Find the slope of the line passing through the points (-8, -3) and (-3,4).
viktelen [127]

Answer:

8.2 i believe with the x and y values you gave in me

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
A bag contains 10 discs.
Radda [10]

Answers:

  • (a) 1/10
  • (b) 3/10
  • (c) 3/10
  • (d) 2/5

===========================================

Explanations:

Part (a)

There is only one disc labeled "3" out of 10 total. So we end up with the probability 1/10.

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

Part (b)

The list of numbers less than 4 are {1,2,3} which are 3 items out of 10 discs. We end up with 3/10.

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

Part (c)

A square number, aka a perfect square, smaller than 10 is the list {1,4,9}

Since 1 = 1^2, 4 = 2^2 and 9 = 3^2

Like part (b), we end up with the same result of 3/10.

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

Part (d)

The list of primes smaller than 10 is {2, 3, 5, 7}. Notice that 1 is not prime.

So we end up with 4/10 = 2/5.

8 0
3 years ago
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