The Pie Problem!

Question: The Morgans had pumpkin pie for their Thanksgiving dessert.

The mom ate 1/4 of the pie. The dad ate 2/3 of what was remaining after the mom ate

her portion. The daughter ate 1/2 of what was remaining after the dad ate his portion

How much of the ple is left after the daughter ate her portion?

Answer: Number C

Step-by-step explanation:

Solve

1

Find common denominator

4

.

2

=

−

8

.

5

+

1

0

.

7

4.2=\frac{c}{-8.5}+10.7

4.2=−8.5c​+10.7

4

.

2

=

2

−

1

7

+

−

1

7

⋅

1

0

.

7

−

1

7

4.2=\frac{2c}{-17}+\frac{-17 \cdot 10.7}{-17}

4.2=−172c​+−17−17⋅10.7​

2

Combine fractions with common denominator

4

.

2

=

2

−

1

7

+

−

1

7

⋅

1

0

.

7

−

1

7

4.2=\frac{2c}{-17}+\frac{-17 \cdot 10.7}{-17}

4.2=−172c​+−17−17⋅10.7​

4

.

2

=

2

−

1

7

⋅

1

0

.

7

−

1

7

4.2=\frac{2c-17 \cdot 10.7}{-17}

4.2=−172c−17⋅10.7​

3

Multiply the numbers

4

.

2

=

2

−

1

7

⋅

1

0

.

7

−

1

7

4.2=\frac{2c{\color{#c92786}{-17}} \cdot {\color{#c92786}{10.7}}}{-17}

4.2=−172c−17⋅10.7​

4

.

2

=

2

−

1

8

1

.

9

−

1

7

4.2=\frac{2c{\color{#c92786}{-181.9}}}{-17}

4.2=−172c−181.9​

4

Multiply all terms by the same value to eliminate fraction denominators

4

.

2

=

2

−

1

8

1

.

9

−

1

7

4.2=\frac{2c-181.9}{-17}

4.2=−172c−181.9​

−

1

7

⋅

4

.

2

=

−

1

7

⋅

2

−

1

8

1

.

9

−

1

7

-17 \cdot 4.2=-17 \cdot \frac{2c-181.9}{-17}

−17⋅4.2=−17⋅−172c−181.9​

5

Cancel multiplied terms that are in the denominator

−

1

7

⋅

4

.

2

=

−

1

7

⋅

2

−

1

8

1

.

9

−

1

7

-17 \cdot 4.2=-17 \cdot \frac{2c-181.9}{-17}

−17⋅4.2=−17⋅−172c−181.9​

−

1

7

⋅

4

.

2

=

2

−

1

8

1

.

9

-17 \cdot 4.2=2c-181.9

−17⋅4.2=2c−181.9

6

Multiply the numbers

−

1

7

⋅

4

.

2

=

2

−

1

8

1

.

9

{\color{#c92786}{-17}} \cdot {\color{#c92786}{4.2}}=2c-181.9

−17⋅4.2=2c−181.9

−

7

1

.

4

=

2

−

1

8

1

.

9

{\color{#c92786}{-71.4}}=2c-181.9

−71.4=2c−181.9

7

Add

1

8

1

.

9

181.9

181.9

to both sides of the equation

−

7

1

.

4

=

2

−

1

8

1

.

9

-71.4=2c-181.9

−71.4=2c−181.9

−

7

1

.

4

+

1

8

1

.

9

=

2

−

1

8

1

.

9

+

1

8

1

.

9

-71.4+{\color{#c92786}{181.9}}=2c-181.9+{\color{#c92786}{181.9}}

−71.4+181.9=2c−181.9+181.9

8

Simplify

Add the numbers

Add the numbers

1

1

0

.

5

=

2

110.5=2c

110.5=2c

9

Divide both sides of the equation by the same term

1

1

0

.

5

=

2

110.5=2c

110.5=2c

1

1

0

.

5

2

=

2

2

\frac{110.5}{{\color{#c92786}{2}}}=\frac{2c}{{\color{#c92786}{2}}}

2110.5​=22c​

10

Simplify

Divide the numbers

Cancel terms that are in both the numerator and denominator

Move the variable to the left

=

55.25

Answer:

A.55.25

Step-by-step explanation:

4.2 = c/-8.5 + 10.7

4.2 - 10.7 = c/-8.5

-6.5 = c/-8.5

-6.5 . -8.5 = c

55.25 = c

Answer:

It's obtuse.

Step-by-step explanation:

Mumble. Smells al-kashi laws of cosine to me.

[tex]a^2-b^2-c^2 = -2bc cos\alpha\\b^2-c^2-a^2=-2ca cos \beta\\c^2-a^2-b^2=-ab cos \gamma[/tex]

Now, we don't need to calculate the RHSs, and then:

If at least one of the three LHSs is greater than zero, the triangle is obtuse

If at least one is zero, it's a right triangle (pythagorean theorem anyone?)

if all three numbers are less than zero, the triangle is acute

Start crunching numbers.

[tex]139-73-36 = 30[/tex] First try was  the charm. finding 30 means that the product [tex][-2(\sqrt{73})(6) ]cos \alpha[/tex] is positive, and since the product in the large bracket is negative, the cosine has to be 0, thus the angle has to be greater than 90°, QED

Answer:

n = 3.5

Step-by-step explanation:

basically it's saying that 2.8 is proportional to 4.8 as n is proportional to 6. therefore:

2.8/4.8 = n/6

0.583 = n/6

3.5 = n

Answer:

[tex](0.1)^2[/tex]

Step-by-step explanation:

The top number known as an exponent tells you to multiply the number by its self that many times so the other number will get very small.

Hey there!

Option A.

0.01^4

= 0.01 * 0.01 * 0.01 * 0.01

= 0.0001 * 0.0001

= 0

Option B.

0.1^4

= 0.1 * 0.1 * 0.1 * 0.1

= 0.01 * 0.01

= 0.0001

Option C.

0.01^3

= 0.01 * 0.01 * 0.01

= 0.001 * 0.01

= 0.00001

Option D.

0.1^2

= 0.1 * 0.1

= 0.01

“ 0.01 > 0.0001 > 0.00001 > 0”

Therefore, your answer should be: 0.1^2 (option D)

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

147 seconds to get to the shore(after the 49 seconds)

Step-by-step explanation:

If Pete swam at a constant speed of 50 yards/49 seconds, you just have to multiply that by four, to get 200 yards. If you want the total time from his boat to shore, that is 196. If you want how much longer it would be, it would be 147 seconds

for minutes, just divide by 60

Answer:

296 miles

Step-by-step explanation:

Use a proportion:

111/( 3/8) = x/ 1

Cross Multiply

   (3/8)x = 111

Multiply both sides by 8/3 ; reciprocal

          x = (8/3) (111)

          x = 296 miles

Answer:

7V

The average amount of minutes exercised on each day

Step-by-step explanation:

We are given that every day "V" amount of vegetables are eaten everyday.

If there are 7 days in a week then the amount of vegetables eaten in 1 week would be 7V

E = ( M + W + F ) / 3

M = # of minutes exercised on Monday

W = # of minutes exercised on Wednesday

F = # of minutes exercised on Friday.

Note that to find the average of something you find the sum of the values and divide that by the number of values.

The equation "E" is adding up the # of minutes exercised on Monday, Wednesday and Friday and dividing the sum of that by 3, which happens to be the number of values being added( those values being the # of minutes exercised on Monday, Wednesday and Friday) . So we can conclude that the equation E represents an average, more specifically the average # of minutes exercised on each day.

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

Example:

Discount formula:

(original_price * discount / 100)

_____________________________________________________

Percentage discount is a discount that is given to a product or service that is given as an amount per hundred. For example, a percentage discount of 20% would mean that an item that originally cost $100 would now cost $80. This is common with promotional and seasonal sales, as a way of encouraging consumers to buy an item at a reduced cost.

___________________________________________________

$279 - $55.80 = $223.20

You would therefore be saving $55.80 on the purchase for a final price of $223.20.

For this calculator, a "stackable additional discount" means getting a further percent off of a product after a discount is applied. Using the same example, assume that the 20% discount is a discount applied by the store to the product. If you have a coupon for another 15% off, the 15% off would then be applied to the discounted price of $223.20. It is not a total of 35% off of the original price. It is less:

15% of $223.20 = $33.48

$223.20 - $33.48 = $189.72

Thus, with a 20% discount off of $279, and an additional 15% off of that discounted price, you would end up saving a total of:

$55.80 + $33.48 = $89.28

This equates to a 32% discount, rather than a 35% discount, and this calculation is how the calculator is intended to be used. As an example, to more efficiently compute the discount described above:

Final price = (0.80 × 279) × 0.85 = $189.72

This is because 80% of the original price is the same as subtracting 20% of the original price from the original price. The same is true for 85% and 15% case applied to the discounted price.

Answer:6,000 is the answer

Step-by-step explanation:

Answer:

i have no idea1233930494

Answer:

B

Step-by-step explanation:

the answer is 4 <x or x is equal to smaller than q0

Answer:

20 out of 120 times

Step-by-step explanation:

As others have said, the general formula is:

expected successes = probability*number of trials

Perhaps an easier question: If you roll a die 6 times, how many 4s would you expect to get?

1, right? 1 out of every 6. That’s what 1/6 means.

If you roll a die 12 times, you expect 2. 2/12 = 1/6

Answer:

0.8

Step-by-step explanation:

Answer:

-4/5

Step-by-step explanation:

[tex]\frac{1}{10}+-\frac{9}{10}=-\frac{8}{10}=-\frac{4}{5}[/tex]

Answer:

Step-by-step explanation:

The amount of water in the bathtub per minute:4/9-8/9=-4/9;

liquid after:1/3* (-4/9)=-4/27

If the change in the amount of liquid in the tub for 1 minute is 4/9, The change in the amount of liquid in the tub after 1/3 minute will be 4/27.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that, Each minute, a faucet allows 4/9 gallons of water to enter a large tub, and the drain allows 8/9 gallons to leave the tub.

The rate of net flow of the water = Water outgoing - Water ingoing

The rate of net flow of the water = 8/9 - 4/9

The rate of net flow of the water =4/9

The change in the amount of liquid in the tub after 1/3 minute is,

=4/9 × 1/3

=4/27

Thus, if the change in the amount of liquid in the tub for 1 minute is 4/9, The change in the amount of liquid in the tub after 1/3 minute will be 4/27.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

Answer:

To solve for h, isolate the “h” on one side of the equation.

Combine like terms on the left sides (h). When combing like terms add and subtract as normal and attach the variable.

4-14h=60

Subtract 4 from both sides.

-14h=56

Divide both sides by -14.

h=-4

Hope this helps! :)

Answer:

h = -4.

Step-by-step explanation:

4-6h-8h=60

4-4-6h-8h = 60-4

-14h = 56

h = 56/-14

= -4.

Answer:

0,3,6, and 30

Step-by-step explanation:

Answer: 7.2

Step-by-step explanation: u times 0.9 by 15, then separately u times 2.1 by 3. then u take both numbers and subtract.

Answer:

Step-by-step explanation:

0.9d - 2.1f = 0.9*15 - 2.1*3

                 = 13.5 - 6.3

                 = 7.2

Answer:

Salary A/c. Dr.

To Cash A/c.

(Being salary paid to Gopal)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

6 divided by 15 times 100 = 40

Answer:

40

(40%)

Step-by-step explanation:

6 / 15 = 0.4

0.4 * 100 = 40%

We can check this by doing 40% times 15;

15 * 0.4 = 6 ✓

It checks :D

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

Length 20

Width 15

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

2x=8

÷2

x=4

if you want a fraction then  4/1 which is the same thing as saying 4

Answer:

B) <

Step-by-step explanation:

Since both numbers are being multiplied by 10^-5, we can completely cut that part out of the inequality and instead just compare the values 3.2 and 4.6. It is obvious when looking at the problem that 3.2 is smaller than 4.6, so we will use the less than symbol <.

Hopefully that's helpful! Good luck on your quiz. :)

Answer:

d

Step-by-step explanation:

The lost pair of weight can be found by subtracting the a known pair from

the total weight leaving the value of the lost pair.

The lost weight of a pair of boys is 120 kg

Reasons:

Let a, b, c, and d represent the weights of the four boys, we have;

The number of ways of selecting pairs (two boys) of boys from a group of

four is given using combination formula as follows;

[tex]_nC_r = \dfrac{n!}{r! \cdot (n - r)!}[/tex]

Which gives;

[tex]_4C_2 = \dfrac{4!}{2! \cdot (4 - 2)!} = 6[/tex]

₄C₂ = 6

Therefore, the weights of the pairs are;

a + b = 110

a + c = 112

a + d = 113

b + c = 118

b + d = 121

c + d = Lost weight

a + b + c + d = 230 (given)

Therefore;

The lost weight, c + d = 230 - (a + b)

Which gives;

c + d = 230 - (110) = 120

The lost weight = c + d = 120

Learn more here:

https://brainly.com/question/12974932

Answer:

116

Step-by-step explanation:

you can use variables

a+b=110

a+c=112

a+d=113

b+c=118

b+d=121

add up the weights and you get 574 kg (you need to find c+d)

3a+3b+2c+2d=574

a+b+c+d = 230 as given then you multiply by 3 so you can cancel out 3a and 3b and subtract 690-574 because we multiplied by 3

you are left with c+d=116

similar method to the answer previously

Step-by-step explanation:

4z = 8

z = 8/4

z = 2

3x - 2z = 11

3x - 2.2 = 11

3x - 4 = 11

3x = 11 + 4

3x = 15

x = 15/3

x = 5

x - 4y + z = 11

5 - 4y + 2 = 11

-4y = 11 - 5 - 2

-4y = 4

y = 4/-4

y = -1

Solution → {x,y,z} = {5,-1,2}