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aleksklad [387]
3 years ago
10

Ice cream cone will hold a scoop of ice cream in shape of a sphere. Scoop of ice cream has a radius of 1.25 inches. How tall sho

uld the cone be in order to have the cone exactly hold the volume of the scoop of ice cream once it melts?

Mathematics
1 answer:
Nataly [62]3 years ago
4 0
Attached the solution and step by step work.

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Find the values of p and q such that 4x^2+12x=4(x+p)^2-q
-Dominant- [34]

Answer:

p = 1.5 and q = 9

Step-by-step explanation:

Expand the right side then compare the coefficients of like terms on both sides, that is

4(x + p)² - q ← expand (x + p)² using FOIL

= 4(x² + 2px + p²) - q ← distribute parenthesis

= 4x² + 8px + 4p² - q

Comparing coefficients of like terms on both sides

8p = 12 ( coefficients of x- terms ) ← divide both sides by 8

p = 1.5

4p² - q = 0 ( constant terms ), that is

4(1.5)² - q = 0

9 - q = 0 ( subtract 9 from both sides )

- q = - 9 ( multiply both sides by - 1 )

q = 9

7 0
2 years ago
Mary used Delicious (d) and Golden Delicious (g) apples to make homemade applesauce. Delicious apples are $0.75 each and Golden
alina1380 [7]

Answer:

Mary bought 9 Golden Delicious apples

Step-by-step explanation:

This can be solved by setting up a system of equations. Based on the information given, the equations would be set up as follows.

.75d+1.25g=21.00\\d+g=22

I prefer to solve using substitution, but elimination can be used as well

.75d+1.25g=21.00\\g=22-d

We can now plug in this g value to the first equation

.75d + 1.25 (22-d)=21.00\\.75d + 27.5-1.25d=21\\27.5-0.5d=21\\-.5d=-6.5\\d=13

This means mary bought 13 delicious apples. She bought 22 apples in total,  so the total number minus the amount of delicious apples will give us the amount of golden delicious apples.

22 - 13 = g

9 = g

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~`

<em>Let me know if you have any questions! Spread the love. </em>

3 0
2 years ago
Please help me Asap!! I don't have much time to answer this. Will give brainliest!<br> NO LINKS!!
Advocard [28]

Answer:

  • 3/5

Step-by-step explanation:

<u>Number of those drive to school:</u>

  • 2 + 13 + 25 = 40

<u>Number of those don't drive:</u>

  • 100 - 40 = 60

<u>Probability:</u>

  • P(Drive to school ' ) = 60/100 = 3/5
5 0
2 years ago
What is equivalent to 2/4
padilas [110]
1/2, 4/8, etc. Because they all equal to one half. <span />
8 0
3 years ago
Read 2 more answers
3 people work full time together on a project, but their total time on the project is to be equivalent to only 1 person working
NikAS [45]
Let x = the amount of time that the third person needs to work on the job to add up to one

1 = 1/2 + 1/3 + x

1 - 1/2 - 1/3 = x

To subtract the fractions we need to put them all over a common denominator. Let's use 3*2 = 6 as the denominator; so 1 = 6/6, 1/2 = 3/6, 1/3 = 2/6:

6/6 - 3/6 - 2/6 = x

1/6 = x

The third person must work 1/6 time on the project.
3 0
3 years ago
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