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3 years ago

Please answer this correctly

Mathematics

1 answer:

Allushta [10]3 years ago

3 0

Answer:

1/8

Step-by-step explanation:

Total cards = 8

Card with 4 = 1

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092:15 PMEach month, henry weeds gardens for 15 hours and mows lawns for x hours.For each job, he is paid $9 per hour. He wants

ankoles [38]

We know that he weeds gardens for 15 hours, and mows lawns for x hours.

If he wants to earn $252 per month, we can express the following

$9\cdot15+9x\ge252$

Now, we solve for x

$\begin{gathered} 135+9x\ge252 \\ 9x\ge252-135 \\ 9x\ge117 \\ x\ge\frac{117}{9} \\ x\ge13 \end{gathered}$ <h2>Hence, he has to mow lawns for 13 hours to earn at least $252.</h2>

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1 year ago

How much is 45+14567

alisha [4.7K]

14612 is the answer to your math problem. This is so easy. just use a calculator.

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3 years ago

Read 2 more answers

Given the following exponential function, identify whether the change represents

Nookie1986 [14]

The percentage rate of increase is 36.2% and the exponential function represent the growth.

<h3>What is an exponential function?</h3>

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent $\rm y = a^x$

where 'a' is a constant and a>1

We have exponential function:

$\rm y = 8900(1.362)^x$

If we compare with

$\rm y =a(1+r)^x$

If 1+r > 1

1.362 > 1

So the growth rate r is

1 + r = 1.362

r = 0.362

r = 0.362×100

r = 36.2%

Thus, the percentage rate of increase is 36.2% and the exponential function represent the growth.

Learn more about the exponential function here:

brainly.com/question/11487261

#SPJ1

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2 years ago

What is 20 percent of 3500

Aleonysh [2.5K]

20% = 20/100 = 1/5
1/5 of 3500
1/5 X 3500/1 = 3500/5
3500/5 = 700.

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3 years ago

Find the largest prime divisor of $15^6 - 7^6$<img src="https://tex.z-dn.net/?f=Find%20the%20largest%20prime%20divisor%20of%20%2

Novosadov [1.4K]

Answer:

Largest prime factor of the given expression is <em>379.</em>

Step-by-step explanation:

Given the expression:

$15^6 - 7^6$

To find:

The largest prime factor of the given expression.

Solution:

First of all, let us factorize the given expression.

$15^6 - 7^6\\\Rightarrow (15^3)^2 - (7^3)^2\\\\\text{Using } x^{2} -y^2 = (x+y) (x-y)\\\\\Rightarrow (15^3+7^3)(15^3-7^3)$

Let us learn two formula:

$x^3+y^3 = (x+y)(x^2+y^2-xy)$

$x^3-y^3 = (x-y)(x^2+y^2+xy)$

Applying the above formula in the expression written above:

$(15^3+7^3) = (15+7)(15^2+7^2-15\times 7)\\\Rightarrow 22(225+49-105 ) = 2 \times 11 \times 169 \\\Rightarrow 2 \times 11\times 13\times 13\\\Rightarrow 2 \times 11\times 13^2$ ...... (1)

Similarly:

$(15^3-7^3) = (15-7)(15^2+7^2+15\times 7)\\\Rightarrow 8(225+49+105 ) = 2^3 \times 379$ ........ (2)

Multiplying the expressions from (1) and (2) to get the result:

$\therefore 15^6 - 7^6 = 2^4 \times 11 \times \underline{\bold{379}} \times 13 ^2$

So, largest prime factor of the given expression is <em>379.</em>

7 0

3 years ago