6
Julie bought a 5-lb bag of potatoes for
$2.70. The bag contained 10 potatoes.
If each potato weighs and costs about
the same, which is the most reasonable
estimate of the unit rate per potato?
A $0.27
C $2.70
B $0.50
D $3.70

Answer:milli,cent, meter , kilo

Step-by-step explanation:

answer:

it should be the graph on the top right!

The graph of the parent function f(x) = 0.75ˣ + 1 is shown in figure.

A relation between a set of inputs having one output each is called a function.

Given that;

The parent function is,

⇒ f(x) = 0.75ˣ + 1

Now,

Since, The parent function is,

⇒ f(x) = 0.75ˣ + 1

Hence, The points on the function are (0, 2) and (1, 1.75).

Thus, The graph of the parent function is given in option 2.

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Answer:

135.5 and 47.5

Step-by-step explanation:

135.5+47.5=183

135.5-47.5=88

Answer:

512

Step-by-step explanation:

square root of 64 = 8

8 x 8 x 8 = 512

Answer:

umm the answer to 7-11 is 69

Step-by-step explanation:

7. Always

8. sometimes

9. never

10. never

11. always

Answer:

Answer is 4072.93506 and there's full explanation.

So for starts we can go 0.16 x 63 miles = 10.04 so the total for the second plan would be $58 with driving 63 miles. and for the first plan would be 0.12 divided by 3 would be 0.04 so we add them together and we get $58 with driving a 3rd of a mile.

Overall:

1st plan: $58 with driving a 3rd of a mile.

2nd plan: $58 with driving 63 miles.

Answer:

C: y = -4x + 2

Step-by-step explanation:

y - 6 = -4 ( x + 1 )

y - 6 = -4x - 4

y = -4x + 2

Answer:

9a to the power 2 +4 is the answer

Step-by-step explanation:

multiple 3a x 3a u wud get 9a to the power 2

-2 x -2 u wud get = 4

then combine the two and write the answer

Answer:

9a² - 12a + 4

Step-by-step explanation:

Given

(3a - 2)(3a - 2)

Each term in the second factor is multiplied by each term in the first factor, that is

3a(3a - 2) - 2(3a - 2) ← distribute both parenthesis

= 9a² - 6a - 6a + 4 ← collect like terms

= 9a² - 12a + 4

Step-by-step explanation:

sin0° = cos90°

sin30° = cos60°

sin45° = cos45°

sin60° = cos30°

sin90° = cos0°

Answer:

x^2+11x+30

Step-by-step explanation:

Answer:

puppies - 22

Step-by-step explanation:

since the ratio is 2:3, there are 5 parts in total. (2+3=5)

55/5=11 then multiply by parts

puppies- 2×11=22

adults- 3×11=33

check answer by adding- 22+33=55

Answer:

22 puppies and 33 adult dogs

Step-by-step explanation:

Total: 55 Dogs

Ratio: 2:3

Puppies : Adults

2 : 3 (1)

20 : 30 (10)

22 : 33   (11)

Answer = 22 puppies

Answer:

You graph them by using the domain as x and the range y.

Step-by-step explanation:

Answer:

$600

Step-by-step explanation:

400*1.5=600

Given:

Hiroaki says that a constant of proportionality must be a whole number and  cannot be a fraction or a decimal.

To find:

The explanation, why Hiroaki is incorrect.

Solution:

If y is directly proportional to x, then

[tex]y\propto x[/tex]

[tex]y=kx[/tex]

[tex]\dfrac{y}{x}=k[/tex]

where, k is the constant of proportionality.

It means, the constant of proportionality is the ratio of two directly proportional variables.

So, constant of proportionality can be any real.

Thus, the statement that a constant of proportionality must be a whole number and  cannot be a fraction or a decimal is incorrect.

Hence, Hiroaki is incorrect because constant of proportionality can be any real.

Answer:

Step-by-step explanation:

We have the work form of the equation, and we also have values for x, y, h, and k. All we need to do is fill those in and solve for a:

[tex]-15=a(-7-(-5))^2+9[/tex]

Let's clean that up a bit.

[tex]-15=a(-2)^2+9[/tex] and

-15 = 4a + 9 and

-24 = 4a so

a = -6

Now we'll fill in the a value along with the h and k to get

[tex]y=-6(x+5)^2+9[/tex] which is choice C

Answer:

56

Step-by-step explanation:

Answer:

32 hot dogs

Step-by-step explanation:

I hope this helps you out!

Answer:

48 hot dogs

Step-by-step explanation:

So every 15 min he can eat 4 hot dogs so add 4 hot dogs each 15 min until you get 3 hours.

Answer: 5 days

Step-by-step explanation:

12/3=4 souvenirs a day

20/4=5 days

Answer:

Assuming Wyatt buys the same number of souvenirs per day (4), it will take him 5 days to buy 20.

Step-by-step explanation:

12/3 = 4 souvenirs/days

20/4 = 5 days

Answer:

4.5 pounds

Step-by-step explanation:

Answer:

$164500

Step-by-step explanation:

From the given information:

Decrease in inventory = Beginning inventory - Ending inventory

Decrease in inventory = $18000 - $13000

Decrease in inventory = $5000

Decrease in account payable = $19,000 - $7,500

Decrease in account payable = $11500

The amount of cash paid to suppliers is computed as:

Cost of goods sold                                         $158000

Less: Decrease in inventory                          -     5000

Add: decrease in accounts payable              +   11500

The amount of cash paid back to suppliers: $164500      

This question is based on the increment decrement of cost of goods sold.

Therefore, the amount of the cash paid to suppliers is $164500.

Given:

Cost of Goods Sold is $158,000. Beginning and ending Inventory balances are $18,000 and $13,000. The beginning and ending accounts payable balances are $19,000 and $7,500.

We have to calculated the amount of the cash paid to suppliers.

Now, we have to calculated the decrement in inventory.

Decrement in inventory = Beginning inventory - Ending inventory

Decrement in inventory = $18000 - $13000

Decrement in inventory = $5000

Now, we have to calculated the decrement in amount payable.

Decrement in  Accounts Payable = Beginning  Accounts Payable

                                                        - Ending Accounts Payable

Decrement in account payable = $19,000 - $7,500

Decrement in account payable = $11500

The amount of cash paid to suppliers is calculated as:

Amount of cash paid to suppliers =  Cost of Goods Sold - Decrement in                                                       inventory + Decrement in account payable

Amount of cash paid to suppliers  = $158,000 - $5000 + $11500

                                                         = $164500    

Therefore, the amount of the cash paid to suppliers is $164500.

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Answer:

The system of equations has infinite solutions

Step-by-step explanation:

∵ y = -3x - 7 ⇒ (1)

∵ -6x - 2y = 14 ⇒ (2)

→ Substitute y in equation (2) by equation (1)

∴ -6x - 2(-3x - 7) = 14

→ Simplify the left side

∵ -6x - 2(-3x) - 2(-7) = 14

∴ -6x + 6x + 14 = 14

→ Add the like terms in the left side

∵ (-6x + 6x) + 14 = 14

∴ 0 + 14 = 14

∴ 14 = 14

∵ The variable is disappeared and the two sides of the equation equal

∴ The equation has many solutions

→ That means x and y can be any numbers

∴ The system of equations has infinite solutions

Answer: no solutions

7x + 5 = 7x - 3

5 = -3                  [ subtract 7x from both sides ]

Since we end up with 5 = -3, a clearly false equation, we conclude that the original equation has no solutions.

i hope this helps! :D

Answer:

empty set

Step-by-step explanation:

Let's solve your equation step-by-step:

7x+5=7x−3

Step 1: Subtract 7x from both sides.

7x+5−7x=7x−3−7x

5=−3

Step 2: Subtract 5 from both sides.

5−5=−3−5

0=−8

So that There is no solution.( empty set .∅)

please make as brilliant.

Answer: a=-4

Step-by-step explanation:

Answer:

48t^4

Step-by-step explanation:

First you simplify and cross out all the uneeded characters because this is a division equation

Then whatever is left you calculate it

Answer:

[tex]48t^{4}[/tex]

Step-by-step explanation:

[tex]\frac{3^{3}*8t^{3}*32}{9t^{-2}*16t}=\frac{3^{3}*8*32*t^{3}}{9*16*t^{-2+1}}\\\\=\frac{3*1*32*t^{3}}{1*2*t^{-1}}\\\\= \frac{3*16*t^{3}}{t^{-1}}\\\\= 48t^{3}*t^{1}\\\\= 48*t^{3+1}\\\\=48t^{4}[/tex]

HINT:

[tex]a^{m}*a^{n}=a^{m+n}\\\\\\\frac{1}{a^{-m}}=a^{m}[/tex]

Answer:

Part A is I = C

&

Part B is BC = HI

Answer:

Step-by-step Explanation:

In a Cartesian plane, we learn many such terms which represent a point, or a line, or cooridnates of some points etc[tex].[/tex]

Such terms are:

Answer:

x = -3 or x = 4

Step-by-step explanation:

[tex]x^2-x-12=0[/tex]

[tex](x+3)(x-4)=0[/tex]

[tex]x + 3 = 0[/tex]

[tex]x = -3[/tex]

[tex]x - 4 = 0[/tex]

[tex]x = 4[/tex]

Answer:

x=-3 or x=4

Step-by-step explanation:

x2−x−12=0

Step 1: Factor left side of equation.

(x+3)(x−4)=0

Step 2: Set factors equal to 0.

x+3=0 or x−4=0

x=−3 or x=4

Answer:

x = 6

Step-by-step explanation:

Use distributive property: a(b + c) = a*b + a*c

3(2x - 4) + 6= 30

3*2x - 3*4 + 6 = 30

6x - 12 + 6 = 30

6x - 6 = 30

     6x = 30+ 6

     6x = 36

       x = 36/6

x = 6

Answer:

x = 6

Step-by-step explanation:

Simplify 3(2x-4) first: 3 (2x) 3(-4) =

6x - 12+6 = 30

Combine like terms: -12 + 6 = -6

6x - 6 = 30

Add 6 to both sides: 6x = 36

Divide both sides by 6: x = 6

CHECK:

3( 2(6) - 4) +6 = 30

3 (12-4) +6 = 30

3(8) +6 = 30

24+ 6 = 30

30 = 30