Word problem in Algebra - Two boys, Shawn and Curtis, went for a walk, Shawn began walking 20 seconds earlier than Curtis. Shawn walked at a speed of 5 feet per second. Curtis walked at a speed of 6 feet per second. For How many seconds had Shawn been walking at the moment when the two boys had walked the same distance?

Answers

Answer 1

Answer: So first you should simplify it.
Shawn (S) - 5 ft. per sec
Curtis (C) - 6 ft. per sec
1 sec 2 s   3 s 4s 5s 6s
S 25 ft   30 ft 35 ft 40 ft 45 ft 50 ft
C 6 ft 12 ft 18 ft    24 ft 30 ft 36 ft
So we keep going on with this table until we find two numbers that match, which is 30. Then we look back at the question. We want to find how many seconds Shawn was at when the hit the same distance as Curtis (30 ft). Yet be sure to keep in mind that Shawn started 20 seconds earlier. So the answer is 2 seconds.

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2.1x-0.9y=15 simplify

Answers

I don't understand
one way you could consider 'simplifying' is to make all numbers whole and simplest form

I will put it into stardard form which is ax+by=c

make all numbers whole
2.1x-0.9y=15
multiply everybody by 10
21x-9y=150
divide everybody by 3
7x-3y=50

115 = 5k equations and inequalities
help pl0x

Answers

Answer:

$\sf{115 = 5k}$

$: \implies \sf{5k = 115}$

$: \implies \sf{k = \cancel(115)/(5) }$

$: \implies \sf{k = 23}$

Answer: 23

Explanation:

115=5k
115/5=5/5k
23=k

A set of equations is given below: Equation S: y = x + 9
Equation T: y = 2x + 1

Which of the following steps can be used to find the solution to the set of equations?

x = 2x + 1
x + 9 = 2x
x + 1 = 2x + 9
x + 9 = 2x + 1

Answers

Answer:

Option D is correct

$x+9 = 2x+1$

Step-by-step explanation:

Given the system of equation:

Equation S: y = x + 9

Equation T: y = 2x + 1

We have to find the following steps can be used to find the solution to the set of equations.

Equate the given equation S and T to solve for x, we have;

$x+9 = 2x+1$

Therefore, the following steps can be used to find the solution to the set of equations is:

$x+9 = 2x+1$

The answer is x+9=2x+1. This is because equation S shows what y equals and then you can just substitute this into equation T!

Could 35 ever be the product of 10 and another number ? Explain

Answers

Yes definitely! Remember you have decimals! So the rule for multiplying by ten is to move the decimal to the right one time. So in this case 3.5 x 10 is 35

yes it can because 5 and 0 are both even numbers so you can divide them

If a store advertised a sale that gave customers a 1/4 discount,what is the fractional part of the original price that the customers will pay?

Answers

It's easy to explain this using numbers- Let's say you buy something that costs $16. 1/4 of that is $4. 16 - 4 = 12.
12/16 = 6/12 = 3/4

Another way of explain this is using subtraction with fractions:
1 - 1/4 = 1/1 - 1/4 = 4/4 - 1/4 = 3/4

Therefore the customers will pay 3/4 of the original part.

Which ordered pair will solve the equation 2 × 4 + x = y?A.
(5, 16)

B.
(4, 12)

C.
(3, 12)

D.
(2, 9)

Answers

This answer uses NMF, which you can find out about on my profile:

Preliminary work:
Following the BIDMAS order of operations, we can calculate part of it already, and that's the 2•4, which equals 8.
Therefore, the equation now reads:
8+x = y

x = 5:
8+5 = 13
13 ≠ 16
13 ≠ y

x = 4:
8+4 = 12
12 = 12
12 = y

Therefore, the pair is (4, 12)

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