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earnstyle [38]
3 years ago
11

If a roll of a certain kind of wrapping paper is unrolled, the wrapping paper forms a rectangle that is 3 feet wide and 20 feet

long. The wrapping paper is to be covered with an array of ladybugs by repeating the design. (3 in by 2 in has 12 ladybugs in it) How many ladybugs will be on the wrapping paper? Explain reasoning.
Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
3 0
 the wrapping paper is 60 feet long
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Linda owns 4 shares of a certain stock. Yesterday the total value of her shares went down by 32 dollars. What was the change in
Annette [7]

Answer:

The value of each share decreased by $8.

Step-by-step explanation:

Number of shares of a certain stock Linda owned = 4

Total value of shares went down by = $32

So find the change in value of each share.

Solution:

Let the total value of each share in dollars be = x

Value of 4 shares in dollars will be = 4x

The total value of shares went down by $32

So, new value of 4 shares = 4x-32

New value of each share = \frac{New\ value\ of\ total\ shares}{4}

⇒ \frac{4x-32}{4}

Splitting the denominators.

⇒ \frac{4x{{4}-\frac{32}}{4}

⇒ x-8

Original value of each share in dollars was = x

New value of each share in dollars = x-8

Thus, we can see that the value of each share decreased by $8.

6 0
3 years ago
The table shows the cost of a taxicab ride for several driving distances.
sveticcg [70]

Answer:

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5 0
3 years ago
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--Multiplying Polynomials--Use the given formulas to express the volume of each object as a polynomial.
sasho [114]

32.

V = L*w*h

Where:

V= Volume

L= Length = x+5

w= width = x-2

h= height = 6

Replacing with the values given:

V= (x+5) * (x-2) * 6

V =[ (x*x) + (x*-2) + (5*X) +5*-2) ] * 6

V= [ x^2 - 2x + 5x - 10 ] * 6

V= [ x^2 + 3x - 10] *6

V= (x^2*6) + (3x*6)+ ( - 10 * 6)

V= 6x^2 + 18x - 60

6 0
1 year ago
The landing for the steps leading up to a county courthouse is shaped like a trapezoid. The area of the landing is 1500 square f
77julia77 [94]

Answer:

The length of the longer base is 80 feet.

Step-by-step explanation:

We are given that county courthouse is shaped like a trapezoid.

Let the height of the court house be h

Since we are given that  The shorter base of the trapezoid is 15 feet longer than the height.

So, the shorter base = h+15

We are also given that The longer base is 5 feet longer than 3 times the height

So, longer Base = 3h+5

Now we are also given that the area of the landing is 1500 square feet.

Formula of area of trapezium :

=\frac{1}{2} *(\text{Length of longer base}+\text{Length of shorter base})*height

Substituting the values .

1500=\frac{1}{2} *(h+15+3h+5)*h

1500=\frac{1}{2} *(4h+20)*h

1500*2=(4h+20)*h

3000=4h^2+20h

Taking 4 common from the equation.

750=h^2+5h

h^2+5h-750=0

h^2-25h+30h-750=0

h(h-25)+30(h-25)=0

(h-25)(h+30)=0

⇒ h = 25, -30

Neglect the negative value .

So, height = 25 feet.

Length of Longer base = 3h+5 =3*25+5=80 feet

Hence , the length of the longer base is 80 feet.

6 0
3 years ago
If 5 years ago nina was twice as old as sam, how soon from now will she be 1.5 times as old as sam? if x is sam's age 5 years ag
Anna35 [415]
I hope this helps you

7 0
3 years ago
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