1. A 5 pound bag of dog treats cost $15.80. What is the uni
cost of the dog treats per pound?

To simplify the given product, we can use the properties of radicals. By assuming d ≥ 0 the product is \(3^{(3/2)} \times d^{(3/2)}.\)

Specifically, the product of radicals with the same index can be expressed as a single radical by multiplying their radicands.

In this case, we have:

3√d × 3√d × 3√d

We can write this as a single radical by multiplying the radicands:

\(3 \sqrt{d} \times 3\sqrt{d} \times 3\sqrt{d} = (3 \sqrt{d})^3\)

To evaluate this expression, we can use the property of exponents that states that the cube of a number is equal to that number raised to the third power.

Thus:

\((3 \sqrt{d})^3 = 3 \sqrt{d} \times 3\sqrt{d} \times 3 \sqrt{d}\)

           \(= 3^{(3/2)} \times d^{(3/2)}\)

Therefore, the simplified product is \(3^{(3/2)} \times d^{(3/2)}.\)

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Answer:

Done: $9.75 an hour

Amy: $10 an hour

Amy makes more than Done per hour

Step-by-step explanation:

\(Done:\\97.50/ 10 = 9.75\\Amy:\\120/12=10\\\)

The money he would have after 20 years is $29,102.87

Compounding occurs when both the principal and the interest already accrued earns interest.

The formula for calculating future value:

FV = P (1 + r)^nm

$8000 x (1.0667)^20 = $29,102.87

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Answer:

3(2x-y+4)

Step-by-step explanation:

find the greatest common factor from all of them..which is 3

and then divide each number by it

3(2x-y+4)

Answer:

528 cm = 5.77 yards  <---- ( 5.77428 )

Solution

Given length or arc = 6π

The formula for length of arc is

Hence, the length of the radius is 6 units

Answer:

b

Step-by-step explanation:

A function that represents a reflection of \(f(x) = \frac{3}{8} (4)^x\) across the y-axis include the following: D. \(g(x) = \frac{3}{8} (4)^{-x}\).

In Mathematics and Geometry, a reflection over or across the y-axis or line x = 0 is represented and modeled by this transformation rule (x, y) → (-x, y).

This ultimately implies that, a reflection over or across the y-axis or line x = 0 would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By applying a reflection over the y-axis to the parent exponential function, we would have the following transformed exponential function:

(x, y)                                              →                 (-x, y).

\(f(x) = \frac{3}{8} (4)^x\)                               →              \(g(x) = \frac{3}{8} (4)^{-x}\)

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Answer:

x = 0

Step-by-step explanation:

-x/3 + 7 = -2x + 7

Subtract 7 from both sides.

-x/3 = -2x

Add 2x to both sides.

5/3x = 0

x = 0

Answer: x = $1.75

Step-by-step explanation:

Let's assume that the cost of each sparking plug is x dollars. Then, the cost of the fan belt is x + $1.75 since it costs $1.75 more than each sparking plug.

According to the problem, the total cost of four sparking plugs and a fan belt is $10.50. We can express this as an equation:

4x + (x + $1.75) = $10.50

Simplifying and solving for x, we get:

5x + $1.75 = $10.50

5x = $8.75

x = $1.75

Therefore, each sparking plug costs $1.75 and the fan belt costs $3.50 ($1.75 + $1.75).

First do inside the parentheses:

4 + [8/1 + 6-12] . 10

Now work inside the brackets doing division first

4 + [8 + 6 -12]. 10

Still inside the brackets add an subtract from left to right:

4 + 2 . 10

Multiply:

4 + 20

Add to get final answer of 24

Answer:

4+[8 ÷(8-7) +6 -12] . 10

4+[8÷1+6-12].10

4+[8+6-12].10

4+[14-12].10

4+2×10

4+20

24

Answer:

the answer is -30 feet

Step-by-step explanation:

that is the answer because -42 is -12 feet lower than -30 feet. plsss give me brainliest plsss

Answer:

30 Hours

Step-by-step explanation:

8h=240

240÷8=30

Answer:

30

Step-by-step explanation:

Because 8 x 30 = 240 or

240 Divided by 8= 30

Answer:

8-(-7)=

8(7)=

8+7=15

Step-by-step explanation:

prove me wrong

Answer:

\(5 \frac{5}{14} \)

Step-by-step explanation:

\(3 \frac{5}{7} + 1 \frac{9}{14} \)

Turn them into improper fractions

\( \frac{26}{7} + \frac{23}{14} \)

\( \frac{2}{2} \times \frac{26}{7} + \frac{23}{14} \)

\( \frac{52 + 23}{14} \)

\( \frac{75}{14} \)

Turn it into a mixed fraction

\(5 \frac{5}{14} \)

Answer:

Lets choose y

Plug in

Answer:

I'll choose 'x' variable first to eliminate because -

Step-by-step explanation:

Eqn.1 → -3x - 8y = -24

Eqn.2 → 3x - 5y = 45

If we'll add both the equations , then '3x' would be getting cancelled first.

⇒ \((-3x - 8y) + (3x - 5y) = (-24) + (45)\)

⇒ \(3x - 3x - 8y - 5y = 45 - 24\)

⇒ \(-13y = 21\)

⇒ \(y = \frac{-21}{13}\)

Putting the value of y in eqn.2 ,

⇒ \(3x - 5(\frac{-21}{13}) = 45\)

⇒ \(3x + \frac{105}{13} = 45\)

⇒ \(3x = 45 - \frac{105}{13}\)

⇒ \(3x = \frac{585 - 105}{13} = \frac{480}{13}\)

⇒ \(x = \frac{480}{13 \times 3} = \frac{480}{39}\)

Reducing the fraction gives ,

⇒ \(x = \frac{160}{13}\)

Answer:

1

Step-by-step explanation:

13x-12=7x-6

The Nearest tenth of a second, the flag is in the air for approximately 0.1 seconds before Zack catches it.

To determine the time the flag is in the air before Zack catches it, we can use the kinematic equation for vertical motion:

h = 16t^2 + vt + s

Where:

h is the height of the flag,

t is the time in seconds,

v is the initial vertical velocity of the flag,

s is the initial height of the flag.

In this case, the flag is thrown into the air from a height of 5 feet (s = 5) with an initial vertical velocity of 30 feet per second (v = 30). Zack catches it at a height of 7 feet (h = 7).

We can rewrite the equation as:

7 = 16t^2 + 30t + 5

To find the time (t) when the flag is at a height of 7 feet, we can rearrange the equation and solve for t. However, since this is a quadratic equation, we can also use the quadratic formula.

The quadratic equation in this case is:

16t^2 + 30t + 5 - 7 = 0

16t^2 + 30t - 2 = 0

Now, we can use the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / (2a)

Applying the values from the quadratic equation, we have:

t = (-30 ± √(30^2 - 4 * 16 * (-2))) / (2 * 16)

Simplifying further:

t = (-30 ± √(900 + 128)) / 32

t = (-30 ± √1028) / 32

Using a calculator, we find two solutions:

t ≈ -1.08 seconds or t ≈ 0.06 seconds

Since time cannot be negative in this context, we discard the negative solution.

Therefore, to the nearest tenth of a second, the flag is in the air for approximately 0.1 seconds before Zack catches it.

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Answer:

$60 in total

Step-by-step explanation:

You find the amount to give for the tip first:

An easy way of doing percent's is getting 10% of a number. 10% of $50.00 you simply move the decimal to the left one time.

You would end up with $5.00 being 10% of $50.00.

Since you want 20% of $50.00 you would just simply multiply $5.00 (10% of $50.00) by 2. (2 * 10% = 20%).

This gives you $10.00.

By knowing 20% of $50.00 is $10.00 you then want to find the grand total you would have to spend in all so you add $10 to the $50 bill giving you a total of $60.00.

Answer:

60.00

Step-by-step explanation:

so you're doing 50.00 plus another 20% since you/re tipping the waiter which gives you a total of 60.00

Answer:

it's going to be negative

Answer: C. 4 meters

Step-by-step explanation: So we know that 720/3 is equal to 240 meters, so it would take Helen 1 minute to run 240 meters. We also know that there is 60 seconds in 1 minute. So 240/60 is equal to 4.

So Therefore we know it would take 1 second to run 4 meters

Answer:

6 miles

Step-by-step explanation:

36/2=18 mph

18/3=6 per 1/3 hour

Answer:

D) 22.9 cm

Step-by-step explanation:

This is a right triangle so we can use the Pythagorean theorem

a^2 + b^2 = c^2

10^2 + x^2  = 25^2

100 + x^2 = 625

Subtract 100 from each side

x^2 = 525

Take the square root of each side

sqrt(x^2) = sqrt(525)

x =22.91287857

Value of R = 1.72×10¹¹ meter

The correct option is B.

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.

For example, x + y is an expression, where x and y are terms having an addition operator in between.

Given, expression

R = √[1/{1/(149×10⁹)² - 1/(298×10⁹)²}]

R = √[1/{1/(149×10⁹)² - 1/(298×10⁹)²}]

R = √[1/{(6.71×10⁻¹²)² - (3.36×10⁻¹²)²}]

R = √[1/{4.50×10⁻²³ - 1.13 × 10⁻²³}]

R = √[1/3.37×10⁻²³]

R = √2.97×10²²

R = 1.72×10¹¹ meter

Hence, 1.72×10¹¹ meter is value of R.

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Complete question is here;

Answer:

2hrs 30 mins

Step-by-step explanation:

if the buoy Is 12 up and 16 right than you can use Pythagorean theorem

a²+b²=c²

144+256=c²

400=c²

√400=√c²

20=c

20/8=2.5

2 hrs 30 mins

Answer:

b

Step-by-step explanation:

yes

Answer:

i belive the answer is b to

The solution for the equation -2(2x + 5) - 3 = -3(x - 1) is x = - 16 which can be solved by the use the distributive property.

Distributive Property that when we multiply a number by a group of numbers that are added together, we can multiply each value in the group separately, then add the products of the multiplications.

-2(2x + 5) - 3 = -3(x - 1)

To solve this equation, we need to first use the distributive property to expand the left side of the equation.

We have:

-4x-10-3 = -3(x - 1)

-4x-13 = -3(x - 1)

Now, we can group the like terms on the left side and the right side of the equation.

On the left side, we have -4x - 13 and on the right side, we have -3x + 3.

-4x-13 = -3x + 3

To solve for x, we can add 3x to left side of the equation and add 13 to the right side.

This results in the equation:

-4x+ 3x  = 13 + 3

Now, we can add 3x with -4x of the equation to isolate the x-term.

We have:

-x = 16

x = - 16

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Answer:

473

Step-by-step explanation:

1:1

473:x

Cross Multiply

1x=473

Divide both sides by 1

x=473