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Kamila [148]
3 years ago
12

Divide 8x2 + x2 +32x+4 by x2 +4.

Mathematics
1 answer:
Len [333]3 years ago
6 0

Answer:

\frac{8 {x}^{3}  +  {x}^{2}  + 32x + 4}{ {x}^{2} + 4 }  = 8x + 1

Step-by-step explanation:

Assuming, we the given polynomial is

8 {x}^{3}  +  {x}^{2}  + 32x + 4

and the divisor is

{x}^{2}  + 4

Then , the polynomial division is shown in the attachment.

This implies that:

\frac{8 {x}^{3}  +  {x}^{2}  + 32x + 4}{ {x}^{2} + 4 }  = 8x + 1

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. Ralph’s Fill Dirt and Croissant Shop in Spencer makes both grand and petit croissants. Each grand requires 1 ounce of flour an
Gwar [14]

Answer:

1

Step-by-step explanation:

let G be the number of grand croisssants, and P the number of petit croissants :

we have that 1 ounce of flour and 2 ounces of butter result in one G.

additionally, we have that 1/4 ounce of flour and 1/3 ounce of butter result in one P.

Ralph has 4 ounces of flour and 6 ounces of butter, If he bakes more than 1 G then he will never use all of his ingredients!, let's see:

1 G:

he now has 3 ounces of flour, and 4 ounces of butter,

now we need to figure out how many P's we would obtain with such amounts:

let x be the number of P's

1/4*x = 3=>x=12\\ 1/3*x=4=>x=12

which is reasonable, Ralph can bake 12 P's,

now with more than 1 G:

2G:

Ralph has now 2 ounces of flour and 2 ounces of butter, now we have to figure out that x is the same using the remaining ingredients

1/4*x = 2=>x=8\\ 1/3*x=2=>x=6

This is impossible.

3G:

he runs out of butter.

There is the answer, he is able to bake 1 grand croissant and 12 petit croissants

7 0
3 years ago
Wally wants to determine the height of a statue that casts a 164-inch shadow by comparing it to his own height and shadow length
nataly862011 [7]

We have been given that Wally wants to determine the height of a statue that casts a 164-inch shadow by comparing it to his own height and shadow length. Wally is 68 inches tall, casts a shadow that is 41 inches in length.

We will use proportions to solve for the height of the statue because proportions state that ratio between two proportional quantities is same.

\frac{\text{Height of statue}}{\text{Shadow of statue}}=\frac{\text{Height of Wally}}{\text{Shadow of Wally}}

Upon substituting our given values in above equation, we will get:

\frac{\text{Height of statue}}{\text{164 cm}}=\frac{\text{68 inch}}{\text{41 inch}}

\frac{\text{Height of statue}}{\text{164 cm}}\times \text{164 cm}=\frac{\text{68 inch}}{\text{41 inch}}\times \text{164 cm}

\text{Height of statue}=\frac{\text{68 inch}}{1}\times 4

\text{Height of statue}=272\text{ inches}

Therefore, the height of the statue is 272 inches.

5 0
3 years ago
Plzzz helppp me!!!!!!!!!!!!!
GREYUIT [131]

Answer:

a) We can just add Distance from Tulsa to Dallas and distance from Dallas to Houston,

258 + 239 = 497

b) It's the same distance = 497

c) We can tell its the same distance, because we are travelling in the same road, which would mean it would be no different when going to or coming back from Houston.

4 0
3 years ago
A local grocery store is giving out
Marat540 [252]

Answer:

The original price range of soda is $10 to $39.4

Step-by-step explanation:

Given as :

The discount coupon applied on grocery = 5%

The cost of soda after discount coupon ranges = $0.50 to $1.97

Let the original price range of soda = $A

Now, According to question

discount on original price = the cost after discount

So, initial original price = x

5% of x = $0.50

0.05 × x = $0.50

∴ x = \dfrac{0.50}{0.05}

i.e x = $10

Again final original price = y

5% of y = $1.97

0.05 × y = $1.97

∴ y = \dfrac{1.97}{0.05}

i.e y = $39.4

So, The original price range of soda = $A = $10 to $39.4

Hence, The original price range of soda is $10 to $39.4  Answer

3 0
4 years ago
You buy a box of laundry detergent that contains 40 cups . Your washing machine calls for 5/4 cups . How many loads of washing c
Zepler [3.9K]

Answer:

32

Step-by-step explanation:

Possible loads = available detergent / required amount per wash

loads = 40 / (5/4)

loads = 40 * 4/5

loads = 160/5

loads = 32

5 0
3 years ago
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