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muminat
3 years ago
9

Jermaine is thinking about attending college

Mathematics
1 answer:
lukranit [14]3 years ago
3 0

Answer:

congrats to him

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What is 2/3+3m/5=31/15? Please show your work! Thank You!
scZoUnD [109]

Answer:

m = \frac{7}{3}

Step-by-step explanation:

Given

\frac{2}{3} + \frac{3m}{5} = \frac{31}{15}

Multiply through by 15 to clear the fractions

15 is the lowest common multiple of 3, 5 and 15

10 + 9m = 31 ( subtract 10 from both sides )

9m = 21 ( divide both sides by 9 )

m = \frac{21}{9} = \frac{7}{3}

4 0
3 years ago
Cassie leaves Escanaba at 8:30 AM heading for Marquette on her bike. She bikes at a uniform rate of 12 miles per hour. Brian lea
exis [7]

Answer:

(D) 11: 00

Step-by-step explanation:

We have been given that Cassie leaves Escanaba at 8:30 AM heading for Marquette on her bike. Brian leaves Marquette at 9:00 AM heading for Escanaba on his bike.

This means that Cassie leaves 1/2 hour before Brian.

Since Cassie bikes at a uniform rate of 12 miles per hour, so distance covered in half hour would be half of 12 miles that is 6 miles.

Since total distance is 62 miles, so distance left between both at 9:00 Am would be 62-6=56.

We are told that Brian bikes at a uniform rate of 16 miles per hour and Cassie bikes at a uniform rate of 12 miles per hour, so distance traveled by both in one hour would be 16+12=28 miles.

Let us divide 56 by 28 to find time taken to complete 56 miles.

\frac{56}{28}=2.

Since it will take them 2 hours to cover 56 miles, therefore, they will meet 2 hours after 9:00 AM that is 11:00 AM.

3 0
4 years ago
Anna Keichline purchased six bushes for $19.27 each, a porch swing for $88.22, and a gas grill for $321.77. She must pay the sta
katrin2010 [14]

Answer:

$559.77


Step-by-step explanation:

Total cost  = 6(19.27)+1(88.22)+1(321.77)=525.61

We need to find 4.5% of 525.61. This will be state tax.

We need to find 2% of 525.61. This will be city tax.


Converting 4.5% to decimal (4.5 divided by 100) and then multiplying with 525.61 will give us the answer.

State tax = \frac{4.5}{100}*525.61=0.045*525.61=23.65

City tax = \frac{2}{100}*525.61=0.02*525.61=10.51


Grand total purchase price is 525.61 + 23.65 + 10.51 = $559.77

5 0
4 years ago
Read 2 more answers
given sin theta = -3/5 and csc theta -5/3 in quadrant 3, find the value of other trigonometric functions using a Pythagorean Ide
tiny-mole [99]

Answer:

cos theta = -4/5.

sec theta = -5/4.

tan theta = 3/4.

cot theta = 4/3.

Step-by-step explanation:

sin^2 theta + cos^2 theta = 1

(-3/5)^2 + cos^2 theta = 1

cos^2 theta = 1 - 9/25

cos^2 theta = 16/25

cos theta = -4/5 (negative because  it is in Quadrant 3).

sec theta = 1 / cos theta = -5/4.

tan theta = sin theta / cos theta = -3/5 / - 4/5

= -3/5 * -5/4

=  3/4.

cot theta  =  1 / tan theta = 4/3.

5 0
4 years ago
3.3.1. An urn contains five balls numbered 1 to 5. Two balls are drawn simultaneously. (a) Let X be the larger of the two number
hodyreva [135]

Answer:

Step-by-step explanation:

Given that an urn contains five balls numbered 1 to 5

Two balls are drawn simultaneously.

a) X = the larger of two numbers drawn

Assuming balls are drawn without replacement, (since simultaneously drawn)

the sample space would be (1,2) (1,3)(1,4)(1,5) (2,3)(2,4)(2,5) (3,4) (3,5) (4,5)

n(S) = 10

n(x=2) = 1,

n(x=3) =2

n(x=4) = 3

n(x=5) = 4

Larger value  X can take values only as 2,3,4 or 5

X          2              3            4               5

p          0.1           0.2       0.3             0.4

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

b) V = sum of numbers drawn

V can take values as 3, 4, 5, 6, 7, 8 or 9

V                  3        4             5          6           7             8          9

p                  0.1     0.1         0.2      0.2         0.2        0.1        0.1

6 0
3 years ago
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