MATHEMATICS HIGH SCHOOL

If it is 8:50 a.m., what will the time be 4 hours and 20 minutes later?1:20 a.m.
12:30 a.m.
1:10 p.m.
12:30 p.m.

Answers

Answer 1

Answer:

Answer:

1:10 pm

Step-by-step explanation

Answer 2

Answer: it will be 1:10p.m.
8:50+4:20=12:70. (↪70=1h+10min)=1:10

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The ratio of men to women on a train was 5:8 there was 200 men-
A- how many women were on the train
B- how many people were on the train all together

Answers

$5x-\ number\ of\ men\n\n8x-\ number\ of\ women\n\n5x=200\ \ \ |divide\ by\ 5\nx=40\n\nWomen: 8x=8*40=320\nMen:5x=5*40=200\n\Together:320+200=520$

Alfonzo is building a deck on his house. He was originally going to make it a square with a side length of x x feet. Alfonzo decides to make it a rectangular deck, with 1 foot added to one pair of opposite sides (now the width) and 2 feet added to the other pair of opposite sides (now the length). Part A Determine the expressions for the length and width of the new deck in terms of x x , the length of the sides of the original deck.

Answers

The length and width of the new deck in terms of x x are (x + 2) feet and (x + 1) feet respectively.

Step-by-step explanation:

Step 1:

The side length of the original deck in the shape of a square was x feet.

Since it was a square, all the sides would measure x feet.

Now, the square deck is converted into a rectangular deck.

Step 2:

The side length of the original deck was x feet. 1 foot of deck is added to the side length and it is made into the width of the rectangular deck.

So the width of the new deck is (x + 1) feet.

The side length of the original deck was x feet. 2 feet of deck is added to the side length and it is made into the length of the rectangular deck.

So the length of the new deck is (x + 2) feet.

So the length of the new deck is (x + 2) feet and its width is (x + 1) feet.

if the equation is h= -2x^2 + 12x -10

how do I find the max height?

Answers

One other way to solve this question is finding the derivative

$h=-2x^2+12x-10$

$h'=-4x+12$

now we have to find when this function will be zero

$-4x+12=0$

$\boxed{\boxed{x=3}}$

now we just replace this value at our initial function

$h=-2x^2+12x-10$

$h_(max)=-2*(3)^2+12*3-10$

$h_(max)=-18+36-10$

$\boxed{\boxed{h_(max)=8}}$

The maximum height is the ordinate value of the vertex of the parabola, ie: yV

Calculating yV:

$y_V=(-\Delta)/(4a)\n \n y_V=-[(12^2-4*(-2)*(-10)])/(4*(-2))=(-(144-80))/(-8)=(-64)/(-8)=8$

Mandy,Jeremy, and Lily went to am amusement park during their summer vacation. Mandy spent $16.25 at the amusement park. Jeremy spent $3.40 more than Mandy spent. Lily spent 2 times as much money as Jeremy spent. How much money did Lily spend at the amusement park?

Answers

SInce Jeremy spent 3.40 more that MAndy you do:
16.25 + 3.40 =19.65
Since Lily spent twice as much as Jeremy:
19.65 *2 = 39.30
Lily spent $39.30 at the amusement park

Ratios that are equivalent to 25%