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3 years ago

Ken is thinking of a number. Nine more than the product of 4 and the number is 73. Find Ken number

1 answer:

7 0

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Define x :
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Let the number be x.

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Construct equation:
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<span>Nine more than the product of 4 and the number is 73
</span>⇒4x + 9 = 73

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Solve for x:
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4x + 9 = 73
4x = 73 -9
4x = 64
x = 16

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Answer: Ken's number is 16.
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Sam is practicing long track speed skating at an ice skating rink. The distance around the rink is 250 yards. He has skated arou

goldenfox [79]

Answer:

He needs to complete a distance of 4,030 yards around the rink to make a total skating distance of 3 miles

Step-by-step explanation:

In this question, we are asked to calculate the number of yards needed to complete 3 miles skating around a rink.

We proceed as follows;

First, we can see he has skated 5 times around a rink that has a distance of 250 yards. His total distance covered would be 250 * 5 = 1250 yards

Now he is looking at completing 3 miles, we need to know the number of yards in 3 miles.

Mathematically, 1 mile = 1760 yards

3 miles = 3 * 1760 = 5,280 yards

To know the number of yards he need to skate more, we simply carry out a subtraction;

5,280 yards - 1250 yards = 4,030 yards

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3 years ago

Solve (—6 —4) divided by (—5) =

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Answer:

-2

Step-by-step explanation:

(-6-4)/-5=

-10/5= -2

8 0

1 year ago

Read 2 more answers

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myrzilka [38]

Answer: AA similarity posulate

Step-by-step explanation:

In ΔAJM and ΔAPB,

∠PAB = ∠JAM,

Also, since PB || JM, the corresponding angles formed by these two parallel lines with the line AJ are equal i.e.

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6 0

1 year ago

Write the sum using summation notation, assuming the suggested pattern continues.

Andrej [43]

Hello,
First , number of numbers: (131-(-4))/9 +1=15+1=16
[(last number- first number)/ (2th number- 1th number) +1

$\sum_{i=1}^{16}{(-13+i*9) =-13 \sum_{i=1}^{16}{1} + 9*\sum_{i=1}^{16}{i}


$

$=-13*16+9*\frac{16*(1+16}{2}=-208+9*136=1016


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4 0

3 years ago

Anyone willing to help? Question 2 only

Lady_Fox [76]

Answer:

Step-by-step explanation:

Hello,

(a) Peter cycle at an average speed of x km/h

it means that he is doing x km in 1 hour

so to do 40 km he needs 40/x hour

(b) it means that he was doing x-5 km/h

so it took 40/(x-5) hour

so we can write

40/(x-5)=40/x+4/3

$3*40x=3*40(x-5)+4x(x-5) \ \ \ \text{multiply by 3x(x-5) both sides}\\ 120x =120x-600+4x^2-20x\\4x^2-20x-600 = 0\ \ \ \text{divide by 4} \\ x^2-5x-150=0$

(d)

$x^2-5x-150=0\\ x^2+10x-15x-150=0\\ x(x+10)-15(x+10)=0\\ (x-15)(x+10)=0\\\\ x = 15 \ \ or \ \ x=-10$

the speed is positive so we take the positive solution which is 15

the speed is 15 km/h

hope this helps

do not hesitate if you need more information

7 0

3 years ago