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3 years ago

The sum of two numbers is 35. Their difference is 3. Find the numbers

Mathematics

2 answers:

STatiana [176]3 years ago

5 0

Step-by-step explanation:

let x and y represent the two numbers

x+y =35. eqn 1

x-y =3. eqn 2

let eliminate x by subtracting 2 from 1

2y =32

divide both side by 3

y = 16

put y = 16 in eqn 1

x-16 =35

x = 35-16

x = 19

x =19,

y =16

IgorLugansk [536]3 years ago

4 0

Answer:

19 and 16

Step-by-step explanation:

Let x and y be the two numbers

x+y = 35

x-y =3

Add the two equations together

x+y = 35

x-y =3

---------------

2x = 38

Divide by 2

2x/2 = 38/2

x = 19

Solve for y

x-y = 3

19-y = 3

Subtract 19 from each side

19-19 -y = 3-19

-y = -16

y =16

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Antonbought a picnic cooler his total bill with tax was $7.95 he paid 6% sales tax how much did he pay for the cooler alone with

guapka [62]

A product increases its value because of the imposition of tax. For example, a medicine that cost $1 can be bought possibly at $1.4 because of the value added tax. To determine the original bill without tax, the equation is $7.95/1.06. This is equal to $7.5.

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3 years ago

What graph represents the piecewise function?

adoni [48]

Answer: Lower left corner

A piecewise function is basically a combination of other functions to make one single function. We can break up the given piecewise function into two parts:

f(x) = x-4

f(x) = -2x

The f(x) will change depending on what x happens to be. If x is 0 or smaller, then we go with f(x) = x-4. Otherwise, if x is larger than 0, then we opt for f(x) = -2x.

To graph this, we basically graph y = x-4 and y = -2x together on the same coordinate system. We only graph y = x-4 if x is 0 or smaller. Likewise, we graph y = -2x when x > 0. This results in the graph shown in the lower left corner of your four answer choices.

Note: the closed circle means "include this point as part of the graph". The open circle means "exclude this point as part of the graph". So this is why the upper right corner is very close but not quite the answer we want.

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3 years ago

Which statement is true about the expression 12- 7 + 3?

Mrrafil [7]

Answer:

I don't see any statements here.

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3 0

3 years ago

78 : 120 :: ? : 66 please give answer with explanation

yawa3891 [41]

Step-by-step explanation:

Method 1:

Given that:

78 : 120 :: ? : 66

Here,

Product of extremes = 78 and 66

Product of means = 120 and ?

so,

(78*66) = (120 * ?)

⇛5148 = 120 * ?

⇛5148 = 120?

⇛120? = 5148

Shift the number 120 from LHS to RHS, changing it's sign.

⇛? = 5148/120

Therefore, (?) = 42.9

Method 2:

78 : 120 :: ? : 66

Convert each ratio into fraction.

⇛78/120 = ?/66

On applying cross multiplication then

since, (a/b) = (c/d) ⇛cd = ad

Where, a = 78, b = 120, c = ? and d = 66

Now,

⇛(120)? = (78)66

⇛120? = 5148

⇛(?) = 5148/120

Therefore, (?) = 42.9

Answer: Hence the value of (?) for the given problem is 42.9.

Verification:

Check whether the value of (?) is true or false.

78 : 120 :: ? : 66

Substitute the value of (?).

⇛78:120 = 42.9:66

Product of extremes should be equal to product of means.

Product of extremes:- 78*66 = 5148

Product of means:- 120*42.9 = 5148

⇛5148 = 5148

LHS = RHS

Hence, verified.

4 0

2 years ago

Please help me , at least do one and explain it please .

Len [333]

9514 1404 393

Answer:

113.0 cm²
2464.0 in²
95.0 ft²

Step-by-step explanation:

1. The area of a circle is given by the formula ...

A = πr² . . . . . where r is the radius

The radius is shown as 6 cm, so the area is ...

A = (3.14)(6 cm)² = 113.0 cm²

2. The radius is shown as 28 in. We note that this is a number divisible by 7, so we choose 22/7 for π.

A = (22/7)(28 in)² = 2464 in² . . . . see comment

3. The radius is half the diameter, so is 11/2 = 5.5 ft. Then the area is ...

A = (3.14)(5.5 ft)² = 95.0 ft²

_____

Additional comment

If you use a more exact value of π for problem 2, the area is 2463.0 in². If you use 3.14 as the value of π, the area rounds to 2461.8 in². For these values of pi (3.14 or 22/7), the answer is only good to about 3 significant digits. 2464 has more significant digits, so digits beyond the first 3 may be in error.

7 0

2 years ago