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Paladinen [302]
3 years ago
10

Please help solve algebra question

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
8 0
Let be:Speed of the wind: WSpeed of the plane in still air: P
Against the wind the plane flew:Distance: d=175 milesTime: ta=1 hour 10 minutesta=1 hour (10 minutes)*(1 hour/60 minutes)ta=1 hour + 1/6 hourta=(6+1)/6 hourta=7/6 hourSpeed against the wind: Sa=d/taSa=(175 miles) / (7/6 hour)Sa=175*(6/7) miles/hourSa=1,050/7 miles per hourSa=150 mph
(1) P-W=Sa(1) P-W=150
The return trip only took 50 minutesDistance: d=175 milesTime: tr=50 minutestr=(50 minutes)*(1 hour/60 minutes)tr=5/6 hour
Speed retur trip: Sr=d/trSr=(175 miles) / (5/6 hour)Sr=175*(6/5) miles/hourSr=1,050/5 miles per hourSr=210 mph
(2) P+W=Sr(2) P+W=210
We have a system of 2 equations and 2 unknows:(1) P-W=150(2) P+W=210
Adding the equations:P-W+P+W=150+2102P=360Solving for P:2P/2=360/2P=180
Replacing P by 180 in equation (2):(2) P+W=210180+W=210
Solving for W:180+W-180=210-180W=30
Answers:The speed of the plane in still air was 180 mphThe speed of the wind was 30 mph
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Y=8(x^2+4)+17+-32 in vertex form
Yakvenalex [24]

y = 8( {x}^{2}  + 4) + 17 + ( - 32)
y = 8( {x}^{2}  + 4) + 17 - 32
y = 8 {x}^{2}  + 32 + 17 - 32
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compare to the formula:
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3 0
3 years ago
Please and thankyou (:
den301095 [7]

Let's evaluate the ratio test:

\dfrac{a_n}{a_{n-1}}=\dfrac{3^{n+1}}{3n+1}\cdot\dfrac{3(n-1)+1}{3^n}=\dfrac{3\cdot3^n}{3n+1}\cdot\dfrac{3n-2}{3^n} = \dfrac{9n-6}{3n+1}

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6 0
3 years ago
1. Suppose a and b are real numbers where a > 0 and b < 0.
Nat2105 [25]

a) –a + b is negative

b) a – b is positive

c) b-a is negative

Step-by-step explanation:

1. Suppose a and b are real numbers where a > 0 and b < 0.

a. Is –a + b positive or negative. Explain how you know.

We know a > 0 and b < 0. so, let a =6 and b = -5

Putting values:

–a + b

= -(6)+(-5) = -6-5 = -11

So, –a + b is negative

b. Is a – b positive or negative? Explain how you know.

We know a > 0 and b < 0. so, let a =6 and b = -5

Putting values:

a - b

=6-(-5) = 6+5 = 11

So, a – b is positive

c. Is b – a positive or negative. Explain how you know

We know a > 0 and b < 0. so, let a =6 and b = -5

Putting values:

b-a

=(-5)-(6)

= -5-6

= -11

So, b-a is negative

Keywords: Solving Integers:

Learn more about solving integers at:

  • brainly.com/question/5496711
  • brainly.com/question/11549940
  • brainly.com/question/11334714

#learnwithBrainly

3 0
3 years ago
Someone know this question??
Bogdan [553]
Hhhhmmmmm...

13.50 for food
2.40 for drink

Since there is a voucher for 1/3 of food,

13.50 multiplied by 1/3 is 4.5 which is the discount

13.50-4.5=9

9 is the final cost for the food.

Add 9 to 2.40 for the drink which results in a total of 11.40

To find the amount charged for service you multiply 11.40 by .15

11.40 × .15 = 1.71

You add 1.71 to 11.40

The total is 13.11
7 0
3 years ago
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