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4 years ago

Period

Mathematics

1 answer:

g100num [7]4 years ago

7 0

Answer:

The response is correct. It is correct because if distributive property is done correctly, (6x+8)(2x-5) pulled out comes out to be 12x^2-14x-40.

Step-by-step explanation:

(6x+8)(2x-5)

distributive property

12x^2-30x+16x-40

simplify

12x^2-14x-40

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James has 14{,}500\text { g}14,500 g14, comma, 500, start a text, space, g, end text of sand in his sandbox. He brings home anot

mariarad [96]

Question:

James has 14,500g of sand in his sandbox. He brings home another 7,400g of sand from the beach to add to his sandbox. How many kilograms of sand does James have in his sandbox now?

Answer:

The quantity of sandbox James has is 21.9kg

Step-by-step explanation:

Given

Initial quantity of sandbox = 14,500 g

Additional quantity = 7,400 g

Required

Total quantity of sandbox in kg

Tp get the total quantity of sandbox, we simply add in the initial and additional quantity of sandbox together;

This is represented mathematically as follows;

Total = Initial Quantity + Additional Quantity

Total = 14,500 g + 7,400 g

Total = 21,900 g

But the question says the answer should be in kg

1000 g is equivalent to 1 kg

21,900 g will be equivalent to $\frac{21,900}{1,000} kg$

$21,900g = \frac{21,900}{1,000} kg$

$21,900g = 21.9 kg$

Hence, the quantity of sandbox James has is 21.9kg

7 0

3 years ago

A dog walker charges a flat rate of $6 per walk plus an hourly rate of $30. How much does the dog walkercharge for a 45 minute w

leonid [27]

hello

from the question given, the dog walker charges a flat rate of $6 and an extra $30 per hour.

we can write out an equation in function notation

let the number of hours be represented by x

$f(x)=6+30x$

now we can proceed to solve the cost of the walk for 45 minutes

$\begin{gathered} 1hr=60\min s \\ \text{xhr}=45\min s \\ x=\frac{45}{60} \\ x=\frac{3}{4} \\ \text{therefore 45mins = 3/4 hours} \end{gathered}$

now we can input the value into the equation and know the cost for 45 minutes walk

$\begin{gathered} f(x)=6+30x \\ x=\frac{3}{4} \\ f(x)=6+30(\frac{3}{4}) \\ f(x)=6+22.5 \\ f(x)=28.5 \end{gathered}$

from the calculation above, the cost of 45 minutes walk will cost $28.5

6 0

1 year ago

Reduce to the lowest terms by canceling -14/9 times -3/7

maksim [4K]

Answer:

2/3

Explanation:

Given the below;

$\frac{-14}{9}\times\frac{(-3)}{7}$

We can see from the above that 9 is divisible by 3 and that 14 is divisible by 7, let's go ahead and reduce to the lowest term as shown below;

$\frac{-14}{9}\times\frac{(-3)}{7}=\frac{-2}{3}\times\frac{(-1)}{1}=\frac{2}{3}$

5 0

1 year ago

#10 AH IM STUCK ON THIS ITS HARD HELP

Dafna11 [192]

Answer:

4.8 in

Step-by-step explanation:

feet to inch conversion is *12

2 * 12 = 24

then divide the scale (for every 1 in on the model there is 5 in on the actual, so divide the actual value by 5)

24/5 = 4.8

your answer is 4.8 in

hope this helps:)

6 0

2 years ago

What is the length of the diagonal, d, of the rectangular prism shown below?

melisa1 [442]

The answer is 7 units

6 0

4 years ago