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3 years ago

Bob and Dave go to PizzaScoff. Starting with 35 pizzas, Bob eats 6 and 4/5 and Dave eats 8 and 1/3 pizzas. How many are left/?

Mathematics

2 answers:

Paladinen [302]3 years ago

8 0

Answer:

19.87 Pizzas are left

Step-by-step explanation:

To solve, just take 35 the number of starting pizzas and then subtract the number pizzas both of them consumed. So, 35 - 6.8 given 4/5 converts to 0.8 this leaves use with Bob's pizza consumption only at 28.2 pizza's left. Next, we are going to take 28.2 - 8.33 given 1/3 is .3333 repeating this then gives us the answer with having 19.87 pizzas left - although if it asks how many whole pizzas you would say 28 given you can't have .87 of a pizza.

Helen [10]3 years ago

6 0

Answer: 15 1/3 or 15.333333

Step-by-step explanation:

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Aleksandr-060686 [28]

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2 years ago

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Match the parabolas represented by the equations with their foci.

Elenna [48]

Function 1 $f(x)=- x^{2} +4x+8$

First step: Finding when $f(x)$ is minimum/maximum
The function has a negative value $x^{2}$ hence the $f(x)$ has a maximum value which happens when $x=- \frac{b}{2a}=- \frac{4}{(2)(1)}=2$ . The foci of this parabola lies on $x=2$ .

Second step: Find the value of y-coordinate by substituting $x=2$ into $f(x)$ which give $y=- (2)^{2} +4(2)+8=12$

Third step: Find the distance of the foci from the y-coordinate
$y=- x^{2} +4x+8$ - Multiply all term by -1 to get a positive $x^{2}$
$-y= x^{2} -4x-8$ - then manipulate the constant of y to get a multiply of 4
$4(- \frac{1}{4})y= x^{2} -4x-8$
So the distance of focus is 0.25 to the south of y-coordinates of the maximum, which is $12- \frac{1}{4}=11.75$

Hence the coordinate of the foci is (2, 11.75)

Function 2: $f(x)= 2x^{2}+16x+18$

The function has a positive $x^{2}$ so it has a minimum

First step - $x=- \frac{b}{2a}=- \frac{16}{(2)(2)}=-4$
Second step - $y=2(-4)^{2}+16(-4)+18=-14$
Third step - Manipulating $f(x)$ to leave $x^{2}$ with constant of 1
$y=2 x^{2} +16x+18$ - Divide all terms by 2
$\frac{1}{2}y= x^{2} +8x+9$ - Manipulate the constant of y to get a multiply of 4
$4( \frac{1}{8}y= x^{2} +8x+9$

So the distance of focus from y-coordinate is $\frac{1}{8}$ to the north of $y=-14$
Hence the coordinate of foci is (-4, -14+0.125) = (-4, -13.875)

Function 3: $f(x)=-2 x^{2} +5x+14$

First step: the function's maximum value happens when $x=- \frac{b}{2a}=- \frac{5}{(-2)(2)}= \frac{5}{4}=1.25$
Second step: $y=-2(1.25)^{2}+5(1.25)+14=17.125$
Third step: Manipulating $f(x)$
$y=-2 x^{2} +5x+14$ - Divide all terms by -2
$-2y= x^{2} -2.5x-7$ - Manipulate coefficient of y to get a multiply of 4
$4(- \frac{1}{8})y= x^{2} -2.5x-7$
So the distance of the foci from the y-coordinate is - $\frac{1}{8}$ south to y-coordinate

Hence the coordinate of foci is (1.25, 17)

Function 4: following the steps above, the maximum value is when $x=8.5$ and $y=79.25$ . The distance from y-coordinate is 0.25 to the south of y-coordinate, hence the coordinate of foci is (8.5, 79.25-0.25)=(8.5,79)

Function 5: the minimum value of the function is when $x=-2.75$ and $y=-10.125$ . Manipulating coefficient of y, the distance of foci from y-coordinate is $\frac{1}{8}$ to the north. Hence the coordinate of the foci is (-2.75, -10.125+0.125)=(-2.75, -10)

Function 6: The maximum value happens when $x=1.5$ and $y=9.5$ . The distance of the foci from the y-coordinate is $\frac{1}{8}$ to the south. Hence the coordinate of foci is (1.5, 9.5-0.125)=(1.5, 9.375)

8 0

3 years ago

Which of the following is the balance for a single $2700 deposit in an account with an APR of 4.5% that compounds interest month

Zanzabum

The future amount is $3697.52, if a a single $2700 deposit in an account with an APR of 4.5% that compounds interest monthly and is invested for 7 years.

Step-by-step explanation:

The given is,

A single deposit amount - $ 2700

APR - 4.5%

( Compounded monthly )

Period - 7 years

Step:1

Formula to find future amount with an APR compounded monthly,

$A = P(1+\frac{r}{n})^{nt}$ .......................(1)

Where, A - Future amount

P - Initial deposit

r - Interest rate

n - Number of compounding in a year

t - No.of years

From given,

P = $ 2700

r = 4.5%

n = 12 (∵ For monthly n becomes 12 )

t = 7 years

Equation (1) becomes,

$= 2700(1+\frac{0.045}{12})^{(12)(7)}$

$= 2700(1+0.00375)^{84}$

$= 2700(1.36945)$

$= 3697.52$

A = $3697.52

Result:

The future amount is $3697.52, if a a single $2700 deposit in an account with an APR of 4.5% that compounds interest monthly and is invested for 7 years.

3 0

4 years ago

PLEASE HELP ME

Karolina [17]

Answer:

I think it is A. an angle bisector

Step-by-step explanation:

4 0

3 years ago

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