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Karo-lina-s [1.5K]
3 years ago
6

The cost to mail a package is $5.00. Noah has postcard stamps that are worth $0.34 each and first-class stamps that are worth $0

.49 each. a. Write an equation that relates the number of postcard stamps p, the number of first-class stamps f, and the cost of mailing the package.
Mathematics
1 answer:
liberstina [14]3 years ago
7 0

Answer:

0.34p + 0.49f = 5.00

Step-by-step explanation:

Given

Cost = \$5.00

Postcards = \$0.34

First-class = \$0.49

Required

Represent as an equation

If 1 postcard costs $0.34, then p postcards cost $0.34p

If 1 first-class costs $0.49, then f first-class cost $0.49f

The addition of p postcards and f first-class equals the total cost of mailing the package.

So, we have:

0.34p + 0.49f = 5.00

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An adult's dinner costs $7. A family of 2 adult's and 2 children pays $22 for their dinners. How many does a child's dinner cost
bonufazy [111]

Answer:

A child's dinner costs $4

Step-by-step explanation:

7 + 7 = 14

22 - 14 = 8

8 / 2 = 4

8 0
3 years ago
What are the diameters of the painting?<br> Easy!!!
zalisa [80]

x = 10.22 in

Solution:

Width of the figure = x in

Length of the figure = (2x + 5) in

Area of the figure = 260 in²

<u>To find the value of x:</u>

<em>Area of the figure = length × width</em>

length × width = 260

(2x + 5) × x = 260

2x^2+5x=260

Subtract 260 from both sides of the equation.

2x^2+5x-260=0

Factor the above quadratic expression.

Quadratic equation formula:

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

$x=\frac{-5 \pm \sqrt{5^{2}-4 \cdot 2(-260)}}{2 \cdot 2}

$x=\frac{-5 \pm \sqrt{2105}}{4}

$x=\frac{-5+\sqrt{2105}}{4}, \  x=\frac{-5-\sqrt{2105}}{4}

x = 10.22,   x = –12.72006

Dimension of the figure cannot be measured in negative terms.

Hence x = 10.22 in.

7 0
3 years ago
Which sequence could be described by the explicit definition: t_n=2^n+1t n = 2 n + 1
yuradex [85]

Answer:

2. 27

3. Option C. 3, 5, 9, 17, 33, ...

Step-by-step explanation:

2. The sequence is defined by the explicit function t_{n} = 2^{n}  - n

Therefore, the 5th term i.e. t_{5} of the sequence.

t_{5} = 2^{5}  - 5 = 32 - 5 = 27 (Answer)

3. The explicit definition is t_{n} = 2^{n}  + 1

Hence, t_{1} = 2^{1}  + 1 = 3

t_{2} = 2^{2}  + 1 = 5

t_{3} = 2^{3}  + 1 = 9

t_{4} = 2^{4}  + 1 = 17

Therefore, the option C is the right sequence. (Answer)

4 0
3 years ago
Read 2 more answers
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JulsSmile [24]
There are 60 students. The winner got 70% of the 60 students votes. Let's work this one out to get the answer.

First, you need to figure out what 70% of 60 is, by using this equation.
60 x .70 = 42.
Now that you know the answer is 42, you now know that 70 percent of 60 is 42.

So, the class president got 42 winning votes!






Hope I could help!
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8 0
3 years ago
(-x²+9) + (-3x²-11x+4)
Maslowich

Answer:

=-4x^2-11x+13

Step-by-step explanation:

6 0
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