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Gnesinka [82]
3 years ago
15

1. Suzie had d DVDs. Her mother bought her 39 more DVDs.

Mathematics
1 answer:
Fantom [35]3 years ago
8 0

Answer:

1. The expression that represents the total number of DVDs Suzie has is d + 39

2. The expression for the amount Dave pays for t hours of practice in a month is 10 + 2 × t

3. The expression for the total cost for n people invited for the party is $50 + $5 × n

4. The expression for the perimeter of a square with side length, x is 4 × x

5. The expression for the total cost of pizza with n extra toppings is $8 + $2 × n

6. The expression for the total cost in phone charges after t months is $25 + t × $15

7. The expression for the total number of hockey sticks for n players is 4 × n

8. The relation that represent the term for each number pattern is given as follows;

Value = nth term of number

9. The relation for the perimeter of an equilateral triangle with side length k is given as follows;

Perimeter of an equilateral = 3 × Side length

∴ Perimeter of the given equilateral triangle = 3 × k

When k = 15, we have;

Perimeter of the equilateral triangle = 3 × 15 cm = 45 cm

10. a) The relation for the total cost of j jersey is $50 + $15 × j

b) The relation for the total cost of j jersey by the other company is $80 + $12 × j

c) The charges for 12 jerseys by the first company is $50 + $15 × 12 = $230

The charges for 12 jerseys by the first company is $80 + $12 × 12 = $224

Therefore, the second company will charge less if 12 jerseys are ordered

11. The real life situation that could be represented by each relation are;

a. n + 7

For every mass in grams of goods bought, n, we get a 7 gram mass of packaging

b. 4s + 5

The distance from a point covered by jogging at 4 m/s after s seconds while starting at 5 meters away from the point in the direction of jogging

12. a) The relation for the total number of music stand is n/2

b) The relation for the total number of chairs is n + 4

c) The relation for the total number of sheets of music is 7 × n

Step-by-step explanation:

You might be interested in
Find the 46th term 261 256 251
Mice21 [21]

Answer:

36

Step-by-step explanation:

The numbers given represent an arithmetic series with a common difference of -5. The formula to find the nth term of an arithmetic sequence is:

a + (n - 1)d

where a is the first term and d is the common difference. We can substitute our values in:

261 + (46 - 1)(-5)

261 + (45)(-5)

261 + (-225)

36

3 0
2 years ago
Yo can I have help????
lawyer [7]

(-7, 0)

i promise its right

3 0
3 years ago
WILL MARK BRAINLIEST
LuckyWell [14K]

Answer:

Area of the figure = 42 units²

Step-by-step explanation:

Area of the given figure = Area of rectangle JKIG - (Area of ΔEJD + Area of ΔCKD + Area of ΔCIH + Area of ΔEFG)

Area of rectangle JKIG = JK × JG

                                      = 8 × 8

                                      = 64 units²

Area of ΔEJD = \frac{1}{2}(EJ)(JD)

                       = \frac{1}{2}(6)(3)

                       = 9 units²

Area of ΔCKD = \frac{1}{2}(CK)(KD)

                        = \frac{1}{2}(5)(2)

                        = 5 units²

Area of ΔCIH = \frac{1}{2}(CI)(IH)

                      = \frac{1}{2}(3)(2)

                      = 3 units²

Area of ΔEFG = \frac{1}{2}(FL)(EG)

                       = \frac{1}{2}(5)(2)

                       = 5 units²

Area of the given figure = 64 - (9 + 5 + 3 + 5)

                                         = 64 - 22

                                         = 42 units²

4 0
3 years ago
Joyce paid $98.00 for an item at the store that was 30 percent off the original price. What was the original price?
jekas [21]

Answer:

$68.60

Step-by-step explanation:

If the original price is $98

30% = 0.03

0.30*98=29.40

Then, 98−29.40=$68.60

5 0
3 years ago
Read 2 more answers
Consider the polynomials p(x) = 3x + 27x^2 and q(x)= 2 . Find the x -coordinate(s) of the point(s) of intersection of these two
Tom [10]

Answer:

The x -coordinate(s) of the point(s) of intersection of these two polynomials are x=\frac{2}{9}\approx0.2222,\:x=-\frac{1}{3}\approx-0.3333

The sum of these x -coordinates is \frac{2}{9}+\left(-\frac{1}{3}\right)=-\frac{1}{9}

Step-by-step explanation:

The intersections of the two polynomials, p(x) and q(x), are the roots of the equation p(x) = q(x).

Thus, 3x + 27x^2=2 and we solve for x

3x+27x^2-2=2-2\\27x^2+3x-2=0\\\left(27x^2-6x\right)+\left(9x-2\right)\\3x\left(9x-2\right)+\left(9x-2\right)\\\left(9x-2\right)\left(3x+1\right)=0

Using Zero Factor Theorem: = 0 if and only if = 0 or = 0

9x-2=0\\9x=2\\x=\frac{2}{9}

3x+1=0\\3x=-1\\x=-\frac{1}{3}

The solutions are:

x=\frac{2}{9}\approx0.2222,\:x=-\frac{1}{3}\approx-0.3333

The sum of these x -coordinates is

\frac{2}{9}+\left(-\frac{1}{3}\right)=-\frac{1}{9}

We can check our work with the graph of the two polynomials.

4 0
3 years ago
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