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3 years ago

The sum of two numbers is 56. Their difference is 18.

Mathematics

1 answer:

IrinaVladis [17]3 years ago

8 0

Let one number be x and the other be y.
x+y=56
x-y=18
2x=74
x=37
y=19
Hope this helped!

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In one month, Jillian made 36 local phone calls and 20 long distance calls. What was her ratio of local calls to long distance c

ArbitrLikvidat [17]

C. 9:5
Because 36:20 keep simplifying it down and you will come out to 9:5

8 0

3 years ago

Read 2 more answers

HELP I NEED HELP ASAP

Paladinen [302]

<h2> <u>Rectangular</u> <u>Areas</u> <u>and</u> <u>Perimeters</u></h2>

The perimeter of a rectangle is given by:

$\boxed{\bold{Perimeter = 2 (length + width)}}$

In the problem we have these data:

Length = a

Width = -2x + 20

Perimeter = 6 + 2 (-2x + 20)

We replace the data in the equation of the perimeter:

We apply distributive property:

6 - 4x + 40 = 2a - 4x + 40

6 = 2a

6 ÷ 2 = a

3 = a

⇒ Length = 3

The area of the rectangle is given by:

$\boxed{\bold{Area = 2 (length + width)}}$

We have these data:

Length = 3

Width = -2x + 20

We replace the data in the equation of the area:

We apply the distributive property and obtain:

Area = -6x + 60

<u>The expression representing the area of the rectangle will be -6x + 60</u>

<h3>I hope I've helped!</h3>

8 0

3 years ago

Explanation and answer please :)

puteri [66]

Step-by-step explanation:

You use the I = PRN formula

P = 11 500

R = 7.25% but you have to 7.25 divide by 100 so it becomes a decimal so it should be 0.0725

N = 2 years and 6 months. This can be 2.5 years because half of 12 is 6

the solution is 11 500 × 0.0725 × 2.5 = 2084.38

7 0

3 years ago

What is the completely factored from of 9x2+24x+16

dezoksy [38]

Answer:

(3x+4)(3x+4) is factor of given expression.

B is correct.

Step-by-step explanation:

We are given an expression $9x^2+24x+16$

Formula: $a^2+2ab+b^2=(a+b)^2$

First we write each term as perfect square as formula.

$\Rightarrow 9x^2+24x+16$

$\Rightarrow (3x)^2+2\cdot 3x\cdot 4+4^2$

Using formula , a=3x and b=4

$\therefore (3x)^2+2\cdot 3x\cdot 4+4^2=(3x+4)^2$

Now we write same number two times.

Hence, (3x+4)(3x+4) is factor of given expression.

3 0

2 years ago

The data below are the monthly average high temperatures for New York City. What is the five-number summary? 40, 40, 48, 61, 72,

yawa3891 [41]

Answer:

B) Sample minimum: 40, Sample maximum: 84

Q1: 45, Median: 63, Q3: 77

Step-by-step explanation:

The first step is to write the temperatures in crescent order:

40, 40, 42, 48, 54, 61, 65, 72, 76, 78, 84, 84,

The sample minimum is the lowest value = 40

The sample maximum is the highest value = 84.

Since there are 12 numbers, the sample median is the average between the 6th and 7th terms:

$M = \frac{61+65}{2}\\ M=63$

The first quartile is the average between the 3rd and 4th terms:

$Q_1 = \frac{42+48}{2}\\ Q_1=45$

The third quartile is the average between the 9th and 10th terms:

$Q_3 = \frac{76+78}{2}\\ Q_3=77$

Therefore, the answer is:

B) Sample minimum: 40, Sample maximum: 84

Q1: 45, Median: 63, Q3: 77

8 0

2 years ago