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2 years ago

The sum of two numbers is 64. The difference between the numbers is 14. Write a system

Mathematics

1 answer:

Anastasy [175]2 years ago

8 0

Answer:

They say that the sum of the two numbers (x and y) is 64, so we can write our first equation by adding them and setting that sum equal to 64:

x + y = 64

The question also tells us that their difference is 14. Similarly to before, we'll just subtract the two numbers and set that difference equal to 14:

x - y = 14

Now from here, you know how to continue with substitution to find the values for x and y. Just remember when you get a word problem to break it down and look for key words like sum, difference, or product, and from there you'll be able to build your system of equations.

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Sue has 4 pieces of wood The Links of her pieces of wood or 1/3 foot 2/5 foot 3/10 foot and 1/4 foot which piece of what is the

Eduardwww [97]

3/10 piece is the shortest!

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4 years ago

How many flowers, spaced every 4 in., are needed to surround a circular garden with a 125-ft radius? Use 3.14 for pi

Vesna [10]

Answer:

2356 flowers

Step-by-step explanation:

The number of flowers will be given by

F=1+p/s

Where p is perimeter and s is rhe spacing

Perimeter of a circle is given by

$P=2\pi r$

Where r is the radius of the garden.

Substituting 125 ft for radius, rhe perimeter will be

$P=2*3.14*125=785 ft$

Conversion

Converting ft to inches, we multiply ft by 12 hence 785*12=9420 inches

Number of flowers will then be

F=1+9420/4=1+2355=2356 flowers

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3 years ago

Fifteen years from now Ravi’s age will be four times his present age. What is Ravi’s present age? i need it with explanation pls

Ket [755]

Answer:

Step-by-step explanation:

Fifteen years from now Ravi's age will be four times his present age. What is Ravi's present age? So, Ravi′s present age is 5 years.

3 0

3 years ago

Find the third degree function that has zeros 7 and −11i, and a value of 663 when x=10.

slega [8]

Answer:

$y = x^3 - 7x^2 + 121x + 847$

Step-by-step explanation:

If -11i is a zero, its conjugate also is a zero, so the zeros are:

7, 11i and -11i.

So we can write the third degree function as:

$y = a(x-7)(x-11i)(x+11i)$

$y = a(x-7)(x^2+121)$

If the function has a value of 663 when x = 10, we have:

$663 = a(10-7)(10^2+121)$

$663 = a(3)(221)$

$a = 663/663 = 1$

So the function is:

$y = (x-7)(x^2+121)$

$y = x^3 - 7x^2 + 121x - 847$

6 0

4 years ago

Mrs. Nguyen used 1.48 meters of netting to make 4 identical mini hockey goals. How much netting did she use per goal?

snow_tiger [21]

0.37 meters of netting

<h3>Further explanation</h3>

<u>Given:</u>

Mrs. Nguyen used 1.48 meters of netting to make 4 identical mini hockey goals.

<u>Question:</u>

How much netting did she use per goal?

<u>The Process:</u>

We will solve the problem of conversion or in other words the ratio or proportion.

Option A: the conversion

Mrs. Nguyen used 1.48 meters of netting to make 4 identical mini hockey goals.

Then for every 1 goal, she needs 0.37 meters of netting.

Because $\boxed{ \ 1 \ goal \times \frac{1.48 \ meters}{4 \ goals} = 0.37 \ meters \ of \ netting.}$

Option B: the ratio (or proportion)

In the ratio, we process as follows:

$\boxed{ \ 4 \ goals : 1.48 \ meters \ of \ netting \ }$

Both are divided by 4.

$\boxed{ \ 1 \ goals : 0.37 \ meters \ of \ netting \ }$

Thus, she uses 0.37 meters of netting per goal.

Alternative problem

How much netting did she use for 8 goals?

$\boxed{ \ 8 \ goal \times \frac{1.48 \ meters}{4 \ goals} = \ ? \ }$ meters of netting.

We cross out eight and four because they can be divided.

$\boxed{ \ 2 \times 1.48 \ meters = 2.96 \ meters \ of \ netting. \ }$

She uses 2.96 meters of netting to make 8 identical mini hockey goals.

<h3>Learn more</h3>

About the engine displacement of Kawasaki Ninja brainly.com/question/5009365
The clothing maker brainly.com/question/1594110
The unit conversion brainly.com/question/5416146

Keywords: Mrs. Nguyen, 1.48 meters of netting, to make 4 identical mini hockey goals, how much netting, she uses per goal, conversion, the ratio, proportion

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4 years ago