In a rally race the lead car is ahead by 1 1⁄2 hours. If the lead car is going 60 mph and the second place car is going 70 mph and starts 1 1⁄2 hours after the lead car, how long will it take to overtake the leader?

Answers

Answer 1

Answer:

Let t hours be the time the second car is driving untill it overtakes the first car. The nfirst car is $t-1(1)/(2)$ hours on the road.

If the lead car is going 60 mph, then for the $t-1(1)/(2)$ hours it will go the distance

$60\cdot(t-1(1)/(2))\ m.$

If the second place car is going 70 mph, then for the hours it will go the distance

$70\cdot t\ m.$

These distances are equal, then

$60(t-1(1)/(2))=70t,\n \n60t-60\cdot (3)/(2)=70t,\n \n10t=90,\n \nt=9\ hours.$

Answer: 9 hours

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8 + 8 +8= 24

Answers

Answer:

3 × 8 = 24

3 × 8 is the multiplication equation.

Answer:

8x=24

Step-by-step explanation:

Please sayb this was helpful

Please help me with this

Answers

Answer:x^2+10x+24

Step-by-step explanation:

Area of rectangle=length x width

Area of rectangle=(x+4)(x+6)

Area of rectangle=x^2+6x+4x+24

Area of rectangle=x^2+10x+24

Peyton already has 15 dollars. Every hour (x) that she works at the corner store, she earns another 3 dollars (y). How many total dollars will Peyton have after 15 hours of work?

Answers

Answer:

$60 dollars

Step-by-step explanation:

x axis is hours spent and y axis is $3 + dollars earned so 15*3 =45 +15 = 60

i believe the answer is $60

If the discriminant of a quadratic equation is 4, which statement describes the roots?

Answers

Answer:

Step-by-step explanation:

I. If discriminant >0 then the quadratic equation has the roots x1 and x2 and

a) x1 and x2 are real numbers

b) x1≠x2

II. If discriminant =0 , then x1=x2 and is a real number

III. If discriminant < 0 the equation has complex roots , x1=a+bi ,

x2=a-bi , where i=V-1

Answer: B. There are 2 real roots.

Step-by-step explanation:

Edge 2023

2# Find the missing variable (s). Round to the nearest tenth.

Answers

Answer:

15 cos(33°) m

Step-by-step explanation

Presumably m stands for meters.

If RS were 1, x would be cos(33°)

Multiply sides of triangle by 15 m

When calculating cos(33°) first make sure cos(90°) comes out zero, not -0.448...

4/5 divided by 1/10?

Answers

Answer:

the answer to the question is 8

8
Dividing by a fraction is the same as multiplying by its reciprocal
(4/5)/(1/10) is the same as (4/5)*(10/1)
So (4*10/5*1) =40/5=8

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