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2 years ago

10

You have $135 and you want to give the money to 5 of your friends. You want each friend to have the same amount of money. How mu

ch money will you give each of your friends?

1 answer:

Alexus [3.1K]2 years ago

5 0

Given:

Total amount = $135

Total friends = 5

Each friend to have the same amount of money.

To find:

The money you will give each of your friends.

Solution:

We know that,

$\text{Money for each friend}=\dfrac{\text{Total money}}{\text{Total number of friends}}$

Substituting the given values, we get

$\text{Money for each friend}=\dfrac{135}{5}$

$\text{Money for each friend}=27$

Therefore, each friend will get $27.

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Which series of transformations will not map figure H onto itself

7nadin3 [17]

Answer:

D

Step-by-step explanation:

Given a square with vertices at points (2,1), (1,2), (2,3) and (3,2).

Consider option A.

1st transformation $(x+0,y-2)$ will map vertices of the square into points

$(2,1)\rightarrow (2,-1);$
$(1,2)\rightarrow (1,0);$
$(2,3)\rightarrow (2,1);$
$(3,2)\rightarrow (3,0).$

2nd transformation = reflection over y = 1 has the rule (x,2-y). So,

$(2,-1)\rightarrow (2,3);$
$(1,0)\rightarrow (1,2);$
$(2,1)\rightarrow (2,1);$
$(3,0)\rightarrow (3,2)$

These points are exactly the vertices of the initial square.

Consider option B.

1st transformation $(x+2,y-0)$ will map vertices of the square into points

$(2,1)\rightarrow (4,1);$
$(1,2)\rightarrow (3,2);$
$(2,3)\rightarrow (4,3);$
$(3,2)\rightarrow (5,2).$

2nd transformation = reflection over x = 3 has the rule (6-x,y). So,

$(4,1)\rightarrow (2,1);$
$(3,2)\rightarrow (3,2);$
$(4,3)\rightarrow (2,3);$
$(5,2)\rightarrow (1,2)$

These points are exactly the vertices of the initial square.

Consider option C.

1st transformation $(x+3,y+3)$ will map vertices of the square into points

$(2,1)\rightarrow (5,4);$
$(1,2)\rightarrow (4,5);$
$(2,3)\rightarrow (5,6);$
$(3,2)\rightarrow (6,5).$

2nd transformation = reflection over y = -x + 7 will map vertices into points

$(5,4)\rightarrow (3,2);$
$(4,5)\rightarrow (2,3);$
$(5,6)\rightarrow (1,2);$
$(6,5)\rightarrow (2,1)$

These points are exactly the vertices of the initial square.

Consider option D.

1st transformation $(x-3,y-3)$ will map vertices of the square into points

$(2,1)\rightarrow (-1,-2);$
$(1,2)\rightarrow (-2,-1);$
$(2,3)\rightarrow (-1,0);$
$(3,2)\rightarrow (0,-1).$

2nd transformation = reflection over y = -x + 2 will map vertices into points

$(-1,-2)\rightarrow (4,3);$
$(-2,-1)\rightarrow (3,4);$
$(-1,0)\rightarrow (2,3);$
$(0,-1)\rightarrow (3,2)$

These points are not the vertices of the initial square.

5 0

3 years ago

Jeff was already 7 miles out of town when his sister

Nikolay [14]

The sister catches up Jeff after 2 hours

Step-by-step explanation:

We can write Jeff's position and his sister position at time t using the following expressions:

- Jeff position:

$x_j(t) = 7 + 2.5 t$

where:

7 is the initial position of Jeff when his sister sarts chasing him

2.5 is Jeff's velocity (in miles/hour), so its position increases by 2.5 miles for each hour

t is the time measured in hours

- Sister position:

$x_s(t) = 6t$

where

6 is the sister velocity (her position increases by 6 miles for every hour)

t is the time measured in hours

The sister catches up Jeff when the two positions are equal, so

$x_j(t) = x_s(t)\\7+2.5t=6t$

And solving for t,

$7+2.5t-2.5t=6t-2.5t\\7=3.5t\\t=\frac{7}{3.5}=2 h$

So, the sister catches Jeff after 2 hours.

Learn more about speed:

brainly.com/question/8893949

#LearnwithBrainly

5 0

3 years ago

SOLVING QUADRATIC EQUATIONS BY SQUARE ROOT<br> 9p^2-6=642

Aleksandr [31]

9p^2 - 6 = 642; / + 6 ;
9p^2 = 648; / ÷9 ;
p^2 = 72 ;
p = + $\sqrt{72} or - \sqrt{72}$ ;
Finally, p = +6 $\sqrt{2}$ or p = -6 $\sqrt{2} .$

7 0

2 years ago

Read 2 more answers

Someone please help me ?

puteri [66]

Answer:

Third option down. X is more than or equal to 6

Step-by-step explanation:

I'm a genius

7 0

2 years ago

Read 2 more answers

Which state had a population of eight hundred four thousand one hundred ninety-four

sp2606 [1]

800+4000+194
800+4000=4800
4800+194=4994
answer:4994

3 0

2 years ago