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3 years ago

When the second equation is subtracted from the first the resulting equation is

Mathematics

1 answer:

skelet666 [1.2K]3 years ago

5 0

To find this answer, we subtract each of the like terms in the equation. 3x and 3x are like terms, -4y and 2y are like terms, and 7 and -5 are like terms. Now we subtract. 3x - 3x is 0, -4y - 2y is -6y, and 7 - (-5) is 12. That means that the result is -6y = 12, or B.

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A pair of pants regularly costs $68. The pants are on sale for 45% of the original price. How much will the discount be?

Novay_Z [31]

The discounted amount of pair of pants is $37.4

<u>Solution:</u>

Given, A pair of pants regularly costs $68.

The pants are on sale for 45% of the original price.

We have to find that how much will the discount be?

Now, <em>discounted amount = original price – sold price </em>

Discounted amount = original price – 45% of original price

Discounted amount = $68 – 45% of $68

$\begin{array}{l}{=68-\frac{45}{100} \times 68=68\left(1-\frac{45}{100}\right)=68 \times \frac{100-45}{100}=68 \times \frac{55}{100}} \\\\ {=\frac{3740}{100}=\$ 37.4}\end{array}$

Hence, the discounted amount is $37.4

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3 years ago

Triangles 3 and 4 are identical. They are joined in the poster to form a square. Construct a math argument to show why triangles

Bond [772]

Triangles 3 and 4 are isosceles right angles because they have same length.

<h3>How to explain the triangle?</h3>

It should be noted be noted that the square has all right angles equal. The largest angle of the triangle is the right angle m.

Here, the triangles are isosceles right angles as both the legs and the acute angles are congruent.

Learn more about triangles on:

brainly.com/question/17335144

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7 0

2 years ago

How do you write number 20 in exponential form? Explain please.

SOVA2 [1]

It is (7x)^(2/3). If we look at our exponent laws (SEE ATTACHMENT), we can see that we can express our equation as so.

3 0

3 years ago

Use sigma notation to represent the sum of the first seven terms of the following sequence -4,-6,-8.....

lina2011 [118]

Answer:Answer:

$\sum\left {{7} \atop {1}} \right -n(3+n)$

Step-by-step explanation:

Given the sequence -4,-6,-8..., in order to get sigma notation to represent the sum of the first seven terms of the sequence, we need to first calculate the sum of the first seven terms of the sequence as shown;

The sum of an arithmetic series is expressed as $S_n = \frac{n}{2}[2a+(n-1)d]$

n is the number of terms

a is the first term of the sequence

d is the common difference

Given parameters

n = 7, a = -4 and d = -6-(-4) = -8-(-6) = -2

Required

Sum of the first seven terms of the sequence

$S_7 = \frac{7}{2}[2(-4)+(7-1)(-2)]\\\\S_7 = \frac{7}{2}[-8+(6)(-2)]\\\\S_7 = \frac{7}{2}[-8-12]\\\\\\S_7 = \frac{7}{2} * -20\\\\S_7 = -70$

The sum of the nth term of the sequence will be;

$S_n = \frac{n}{2}[2(-4)+(n-1)(-2)]\\\\S_n = \frac{n}{2}[-8+(-2n+2)]\\\\S_n = \frac{n}{2}[-6-2n]\\\\S_n = \frac{-6n}{2} - \frac{2n^2}{2}\\S_n = -3n-n^2\\\\S_n = -n(3+n)$

The sigma notation will be expressed as $\sum\left {{7} \atop {1}} \right -n(3+n)$ . <em>The limit ranges from 1 to 7 since we are to find the sum of the first seven terms of the series.</em>

3 0

3 years ago

Two consecutive odd negative integers have a product of 483, find the integers ...?

irinina [24]

In order to find this you need to assume that they are declared as X and as X + 2. This makes the formula for calculating it x (x+2)=483, and this, based on the formulas for calculation, equals

x^2+2x-83=0

From this we can see that a negative X is -23, which when +2 is added results in -21.

3 0

3 years ago

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