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Leya [2.2K]
3 years ago
15

A candle has been burning for 20 min and is now 25 cm tall. In an hour it will be 10 cm tall. Which equation models the height y

of the candle in centimeters, x minutes after it was lit?
Mathematics
1 answer:
stiv31 [10]3 years ago
4 0

Answer:

(y - 25) = - 0.25(x - 20)

Step-by-step explanation:

Given that :

Height of candle after burning for 20 minutes = 25 cm

Height after burning for 1 hr (60 minutes) = 10 cm

Height (y) in cm of candle x minutes after being lit:

Using the equation :

(y - y1) = m(x - x1)

m = (change in y / change in x)

Change in height within 60 minutes :

Height at 20 minutes = 25cm

Height after an hour = 10

Change in height per hour = (25 - 10) = 15cm

Hence, m = change in height per minute

15cm / 60 = 0.25cm ( - 0.25) (decrease in height)

y1 = 25 ; x1 = 20

(y - y1) = m(x - x1)

(y - 25) = - 0.25(x - 20)

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Dafna11 [192]
The opposite angles equal each other, so X and Z are equal
 using that we solve for x by setting them equal:

6x-60 = 2x+68

subtract 2x from each side:

4x -60 = 68

add 60 to each side:

4x = 128
 divide both sides by 4
x = 128/4
x = 32

now we know x so we can solve everything else by replacing x with 32

WY = 3x+5 = 3(32)+5 = 96+5 = 101

angle Z = 2x+68 = 2(32)+68 = 64+132

the answer is C


5 0
3 years ago
Please help i don't understand!
vaieri [72.5K]

Answer: 9. x=-3/2     10. x=2

                   x= 5/2           x=5/3

Step-by-step explanation:

9. Factor the equation:

How: put 4x^2 in the bottom left box and -15 in the upper right box.

then multiply 4x^2 x -15 = -60x^2 and put your answer in the top center box of the diamond.

Put the -4x from the equation in the bottom box. Then list out factors that multiply to the top box (-60x^2) and add to the bottom box (-4x) The two factors are -10 and 6

-10 x 6 = -60

-10 + 6 = -4

Put -12x and -5x in the remaining white boxes and find what numbers multiply to each.

I attached a picture. The colored dots correspond with each other.

Eg: Orange dot x orange dot = number in white square

Now you get the two factors (2x+3)(2x-5)

Set both of these equal to 0 and solve

0=2x+3     0=2x-5

x= -3/2       x= 5/2

Do the same for the other problem

7 0
2 years ago
Solving systems of equations using substitution y=2x Y=-2x-4 X= Y=
podryga [215]

Answer:

hope this helps

Step-by-step explanation:

y=2x

y=-2x-4

2x+2x=-4 (grouping like terms)

4x=-4

x=-1

im sorry but im not sure what y is

6 0
3 years ago
Can someone please help me please I really need help please answer it correctly
kvv77 [185]

Answer:

<h3>Princeton Florist</h3>

Let the total charge is y, the number of small arrangements is x.

<u>Total charge will be:</u>

  • y = 13x + 47
<h3>Chad's Flowers</h3>

<u>Total charge will be:</u>

  • y = 17x + 35

<u>Since the total charge is same in both shops, we have:</u>

  • 13x + 47 = 17x + 35

<u>Solve for x:</u>

  • 17x - 13x = 47 - 35
  • 4x = 12
  • x = 3

<u>Total cost is:</u>

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7 0
3 years ago
Which product is negative?
GaryK [48]

The product that will give a negative answer is: −3 × 4 × (−2) × (−7) = -168.

<h3>How to Find the Product of Negative Numbers?</h3>

The rule when multiplying two negative numbers is that, the negative signs will cancel each other. That is, minus multiplied by minus will give as plus.

For example, -a × -b = ab

Also, "plus" multiplied by "minus" will also give as "minus. For example:

-a × b = -ab.

Using the above rule, let's find the product of the following:

−3 × 5 × (−6) × 4 = -15 × (-24)

−3 × 5 × (−6) × 4 = 360 [minus × minus = plus]

−7 × (−3) × (−9) × 0 = 0 [anything multiplied by 0 must result to 0]

−4 × (−6) × (−3) × (−5)

= 24 × 15

−4 × (−6) × (−3) × (−5)  = 360

−3 × 4 × (−2) × (−7)

= -12 × 14

−3 × 4 × (−2) × (−7) = -168

Therefore, the product that will give a negative answer is: −3 × 4 × (−2) × (−7) = -168.

Learn more about product on:

brainly.com/question/1130868

#SPJ1

7 0
2 years ago
Read 2 more answers
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