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Vika [28.1K]
3 years ago
14

Two boats leave a port at the same​ time, one going north and the other traveling south. The northbound boat travels 18 mph fast

er than the southbound boat. If the southbound boat is traveling at 40 ​mph, how long will it be before they are 980 miles​ apart?
Mathematics
1 answer:
shutvik [7]3 years ago
3 0

Answer:

10 hours

Step-by-step explanation:

Two boats leave a port at the same​ time, one going north and the other traveling south.

<u>Southbound boat rate</u> = 40 mph

The northbound boat travels 18 mph faster than the southbound boat.

<u>Northbound boat rate</u> = 40 + 18 = 58 mph

Two boats rate = 40 + 58 = 98 mph (this means they are apart 98 km after one hour)

Total distance = 980 miles

Total rate = 98 mph

Time =980:98=10 hours

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6x + 4 = -8

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6 (-2) = -12

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Hope this helps!

4 0
3 years ago
P(vanilla) =0.3 P(sundae)=0.2 P(vanilla and sundae) =0.15 find the probability that a customer ordered vanilla ice cream given t
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Answer:

0.75

Step-by-step explanation:

P(A | B) = P(A and B) / P(B)

P(vanilla | sundae) = P(vanilla and sundae) / P(sundae)

P(vanilla | sundae) = 0.15 / 0.2

P(vanilla | sundae) = 0.75

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3 years ago
In circle M shown, diameter SW intersects chord VT at R such that m arc VS = 146 degrees and m arc ST = 64 degrees. Which of the
Mandarinka [93]

Answer:

(3) 49

Step-by-step explanation:

The circle diagram is attached below. angle mVS = 146°

and  angle mST =  64°.

mWT = 360 -64 - 146 = 150 (angle at a point)

∠ VWS = 73° = mVS / 2

MVW = 180 - 146 = 34 (angle in a straight line)

MVW = 180 -73 - 34 = 73° (angle in a triangle)

∠TMR = 180 - 64 = 116° (angle on a straight line)

∠VMT = 116 + 34 = 150°

∠ MVT = ∠ MTV (base angles of an isosceles triangle)

150 +2∠ mTV = 180

∠ MTV = 15°

∠RVW = 73 - 15 = 58°

∠RVW + ∠ VWS  + ∠VRW = 180

∠VRW  = 180 - 58 - 73 = 49

5 0
3 years ago
A father and his daughter together weigh seven times the daughter's weight x. The father weighs 180 lbs. Which equation can be u
bezimeni [28]
Father and daguther together
father=180
father and daughter is 7 times daught
father+x=7x
180+x=7x
D is answer
and daughter=30lb
3 0
3 years ago
Read 2 more answers
M=3 and the y-intercept is (0,2)
andreev551 [17]
If you are asking for the formula thing, it is

y=3x+2
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3 years ago
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