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lesya692 [45]
3 years ago
8

a bookkeeper needs to post the cost of a desk and chair into his records. the cost of the desk was 5 times more than the chair.

the total cost for both is 720, what was the cost of the chair?
Mathematics
1 answer:
Tju [1.3M]3 years ago
8 0

Let's say d is the cost of the desk and c is the cost of the chair. We know that:

c + d = 720

and

d = 5 * c

We can substitute d in the first equation with 5 * c to solve for c. c = $120.

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Consider the following polynomial.
vfiekz [6]

Answer:

The equivalent factored form of this equation is (x² + 49)(x - 6)

Step-by-step explanation:

<em>x³ - 6x² + 49x - 294</em>

First, group the first and second terms together and group the last two terms together.

<em>(x³ - 6x²) + (49x - 294)</em>

Find the greatest common factor of both parentheses and factor them.  

x²(x - 6) + 49(x - 6)

Now, since the two terms in the parentheses are the same, then we have factored the equation correctly.

So, the factored form of the equation is (x² + 49)(x - 6)

3 0
3 years ago
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Mary used Delicious (d) and Golden Delicious (g) apples to make homemade applesauce. Delicious apples are $0.75 each and Golden
alina1380 [7]

Answer:

Mary bought 9 Golden Delicious apples

Step-by-step explanation:

This can be solved by setting up a system of equations. Based on the information given, the equations would be set up as follows.

.75d+1.25g=21.00\\d+g=22

I prefer to solve using substitution, but elimination can be used as well

.75d+1.25g=21.00\\g=22-d

We can now plug in this g value to the first equation

.75d + 1.25 (22-d)=21.00\\.75d + 27.5-1.25d=21\\27.5-0.5d=21\\-.5d=-6.5\\d=13

This means mary bought 13 delicious apples. She bought 22 apples in total,  so the total number minus the amount of delicious apples will give us the amount of golden delicious apples.

22 - 13 = g

9 = g

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~`

<em>Let me know if you have any questions! Spread the love. </em>

3 0
3 years ago
Need help on this!!!!
Alexxandr [17]

Answer:

  • (a)  area = 3y^2 +14y +16
  • (b)  perimeter = 8y +20

Step-by-step explanation:

Part of the point of Algebra is that you can work with things that stand for numbers (almost) as easily as working with numbers themselves. Here, you are given values that stand for the length and width of the rectangle.

(a) You know the area of a rectangle is found by multiplying its length by its width. The same is true when length and width are algebraic expressions that stand for those numbers.

  <u>Given:</u> length = 3y+8, width = y+2

  <u>Find:</u> area = length × width

  <u>Solution:</u>

     area = (3y+8) × (y+2)

Using the distributive property, we can perform this multiplication in essentially the same way we would for the numbers 38 and 12.

     area = 3y(y +2) +8(y +2)           equivalent to 30(12) +8(12)

     = 3y^2 +6y +8y +16                  equivalent to 30·10 +30·2 +8·10 +8·2

     area = 3y^2 +14y +16              equivalent to 3·10^2 +14·10 +16

(Of course, with numbers, there are relationships between units and tens and hundreds that let us further combine terms. When variables are involved, we can combine terms with the same power of the variable, but we cannot combine "y" terms with "y^2" terms the way we can with numbers.)

___

(b) The perimeter is the sum of the lengths of the four sides of the rectangle. Since two of those sides are "length" and two are "width", we can write ...

  perimeter = 2(length + width)

Making the substitution for length and width as defined above, we have

  perimeter = 2((3y+8) + (y+2))

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5 0
3 years ago
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marta [7]

Answer:

25% of 30% of 400 = 30

33% decrease in value

Step-by-step explanation:

You can either get 30% of 400 first then 25% of 400 or you can get the total percentage of 400.

Method 1:

30% of 400 = 0.3 of 400 = 0.3 * 400 = 120

25% of 120 = .25 of 120 = .25 * 120 = 30

Method 2:

30% of 25% = 0.3 * 0.25 = 0.075 = 7.5% of 400

7.5% of 400 = 0.075 of 400 = 0.075 * 400 = 30

5.) To find the percentage  of the new price, you can build the equation below.

\frac{new price}{original price} = \frac{percent}{100}

\frac{200,000}{300,000}  = \frac{x}{100}

20,000,000 = 300,000x

x = 66.667

The percentage decrease in price is then 100% of the original price - 66.667% of the original price = 100% - 66.67% = 33.33% = 33% decrease.

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3 years ago
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Ugo [173]
The equation is the form:
Height = Constant / Width

There are several points that can be used to determine the constant. Picking out one which is (4,20)
20 = Constant / 4
Constant = 4(20)
Constant = 80

The constant is 80.
3 0
3 years ago
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