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BartSMP [9]
3 years ago
5

Express 120 as a product of two numbers, one of which is 2 less than the other.

Mathematics
1 answer:
DIA [1.3K]3 years ago
3 0

Answer:

12 and 10   and

-12 and - 10

Step-by-step explanation:

Givens

Larger number = x

Smaller number = x - 2

Equation

x*(x - 2) = 120

Solution

Remove the brackets

x^2 - 2x = 120    

Subtract 120 from both sides

x^2 - 2x - 120 = 0  Factor

(x - 12)(x + 10) = 0

x - 12 = 0

x - 12 + 12 = 12

the other number is 2 less than this one or x = 10

=================

x + 10 = 0

x = - 10

The number that is 2 less than this one is

x = -10 -2

x = -12

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2. Mrs. Frederick is paid semimonthly.
Julli [10]

The annual salary of Mrs. Fredrick is $ 39397.2

<u>Solution:</u>

Given, Mrs. Frederick is paid semimonthly.  

Her semi-monthly salary is $1.641.55.  

Now, let us find her monthly salary first.

<em>monthly salary = 2 x semi – monthly salary </em>

So, monthly salary = 2 x 1,641.55 = $ 3283.1

Since there 12 months in a year, we obtain the annual salary as follows:

Now, the<em> annual salary = 12 x monthly salary </em>

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Hence, the annual salary of Mrs. Fredrick is $ 39397.2

5 0
3 years ago
The answerrr i know its easy but im toooo lazy​
Aleks [24]

Answer:

6u+54

Step-by-step explanation:

4 0
3 years ago
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5р + 3р + (-9) ? <br><br>A. 8p+9 <br>B. 3(p+(-3))+5p <br>C. None of the above <br>.<br>.<br>.​
kvv77 [185]

Answer:

none of the above

Step-by-step explanation:

because 5p + 3p = 8p and positive integers × negative integers = negative integers.

3 0
3 years ago
Which of the following theorems verified that angle xyz is congruent too angle uwv?
icang [17]

Answer:

Option B.  AA

Step-by-step explanation:

we know that

Angle-Angle (AA) Similarity Postulate, states that If two angles of one triangle are congruent to two angles of another, then the triangles must be similar

In this problem

<em>In the triangle XYZ</em>

∠X=70°

∠Y=90°

∠Z=90°-70°=20° (remember that angle X and angle Z are complementary)

<em>In the triangle UWV</em>

∠V=20°

∠W=90°

∠U=90°-20°=70° (remember that angle V and angle U are complementary)

therefore

Traingles XYZ and UWV are similar by AA Similarity Postulate

3 0
3 years ago
Jenny and Kath hire the canal boat for 14 days. They share the hire cost of £1785.00 in the ratio 2:3. Work out the smaller shar
Dafna1 [17]

Answer:

£714.00

Step-by-step explanation:

The first step is to set up expresssions for the two shares:

Let  x = the amount of one share.  The other share is 1785 - x.  <u>You don't have to worry about which is smaller--that part will work out automatically</u>!

The two shares are in the ratio of 2:3, so set up the proportion

\frac{x}{1785-x}=\frac{2}{3}

Again, you don't have to worry--you could set up the proportion "upside down" and everything will work out in the end.

Solve the proportion for  x  by "cross multiplying" -- use the Means-Extremes Property of proportions.

(3)(x)=(2)(1785-x)\\3x=3570-2x\\5x=3570\\x=714

So one share is £714£ and the other is £1785 - £714 = £1071.

The smaller share is £714.

<u />

5 0
3 years ago
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