On Christian's shelf are:

My sister can walk from school to home in 35 minutes. I can walk from school to home in 20 minutes. But today I stayed for some

Verizon [17]

Answer:

you both will reach the home at the same time.

I) You can catch your sister.

ii) Reason: you both will reach home at the same time.

Step-by-step explanation:

Let "d" be distance from school to home.

Let's find the speed of you and your sister.

Speed = $\frac{Distance}{Time}$

Your speed = $\frac{d}{20}$

Your sister's speed = $\frac{d}{35}$

Today, You stayed for some extra help by the time your sister covered $\frac{3}{7}$ of the way home.

Remaining distance to reach the home = $1 - \frac{3}{7}d = \frac{7-3}{7}d = \frac{4}{7}d$

=

Now let's find the time to be taken your sister to reach the home.

Time = $\frac{distance}{speed}$

= $\frac{\frac{4}{7}d }{\frac{1}{35} d} = \frac{4}{7} *\frac{35}{1} = 20$

So, your sister will take 20 minutes to get home by the time your start.

We know that it takes you 20 minutes to reach your home.

Therefore, you both will reach the home at the same time.

I) You can catch your sister.

ii) Reason: you both will reach home at the same time.

7 0

3 years ago

A farmer has 150 rabbits. There are 4 times as many female rabbits as male rabbits. How many male and female rabbits are there?

enyata [817]

There are 120 female rabbits and 30 male rabbits because 30 times 4 is 120 and 120 plus 30 is 150

7 0

3 years ago

Which value must be added to the expression x2 + 12x to make it a perfect-square trinomial?

denis23 [38]

36 is must be added to the expression x² + 12x to make it

perfect-square trinomial

Step-by-step explanation:

The perfect-square trinomial x² + 2ax + a² = (x + a)², then

1. The first term in the trinomial is square the 1st term in the bracket

2. The middle term in the trinomial is the product of 1st , 2nd

terms of the bracket and 2

3. The 3rd term in the trinomial is square the 2nd term in the bracket

∵ The expression is x² + 12x

∵ We must add the 3rd term which make it perfect-square trinomial

- Divide 12x by 2 to find the product of the 1st term and 2nd term

in the bracket

∵ 12x ÷ 2 = 6x

∴ The 1st term is x and the 2nd term is 6 of the bracket

∵ The 3rd term in the trinomial is square the 2nd term in the bracket

∴ The 3rd term in the trinomial is 6² = 36

∴ x² + 12x + 36 = (x + 6)²

36 is must be added to the expression x² + 12x to make it

perfect-square trinomial

Learn more:

You can learn more about perfect-square trinomial in brainly.com/question/7932185

#LearnwithBrainly

4 0

3 years ago

Let f(x)= 7-2x Find a. f(4) b. f(h) c. f(4) + f(h) d. f(3+h)

anyanavicka [17]

Step-by-step explanation:

a) f(4) = 7-2(4)

= -1

b) f(h) = 7-2(h)

= 7-2h

c) f(4) + f(h) = -1 +(7-2h)

= 6-2h

h = 3

d) f(3+h) = 7-2(3+h)

= 7-6-2h

= -1-2h

2h= -1

h = -1/2

p/s = if the real answer is different with my answer, tell me also please. Im just a student that still learning.

4 0

3 years ago

Solve each linear equation for x. (A) –12x + 9 = –15x x = (B) 4.5x + 11.5 = 8.5x + 3.5 x = (C) 23x – 9 = 13x x =

mojhsa [17]

Answer:

A. x = -3

B. x = 2

C. x = 9/10

Step-by-step explanation:

(A) –12x + 9 = –15x

Collect like terms

9 = -15x + 12x

9 = -3x

x = 9 / -3

x = -3

(B) 4.5x + 11.5 = 8.5x + 3.5

4.5x - 8.5x = 3.5 - 11.5

-4x = -8

x = -8 / -4

x = 2

(C) 23x – 9 = 13x

-9 = 13x - 23x

-9 = -10x

x = -9 / -10

x = 9/10

5 0

3 years ago