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neonofarm [45]
2 years ago
5

Evaluate: i) 3x + 8 if x =2 ii) 4c – 6 if c =6

Mathematics
2 answers:
viktelen [127]2 years ago
8 0

Answer:

i) 14

ii) 18

Step-by-step explanation:

i) 3(2) + 8 =

6 + 8 = 24

ii) 4(6) - 6

24 - 6 = 18

Maslowich2 years ago
8 0

Step-by-step explanation:

I.

3x + 8

=3(2)+8

=6+8

=14

ii.

4c - 6

= 4(6) - 6

= 24-6

= 18

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A garden box has a perimeter of 18½ feet. If the length is 5 feet, what is the area of the garden box?
Travka [436]

Answer:

area=\frac{85}{4}feet^{2}

Step-by-step explanation:

1. Approach

Since it is given that the garden box is a rectangle, then the opposite sides are congruent. One can use this to their advantage, by setting up an equation that enables them to solve for the width of the rectangle. After doing so, one will multiply the width by the given length and solve for the area.

2. Solve for the width

It is given that the garden box is a rectangle. As per its definition, opposite sides in a rectangle are congruent. The problem gives the length and the perimeter of the rectangle, therefore, one can set up an equation and solve for the width.

perimeter=18\frac{1}{2}\\\\length=5

2(length+width)=perimeter

Substitute,

2(5+width)=18\frac{1}{2}

Conver the mixed number to an improper fraction. This can be done by multiplying the "number" part of the mixed number by the denominator of the fraction. Then add the result to the numerator.

2(5+width)=\frac{37}{2}

Inverse operations,

2(5+width)=\frac{37}{2}\\/2\\\\5+width=\frac{37}{4}\\-5\\\\width=\frac{17}{4}

3. Solve for the area

Now that one has solved for the width of the box, one must solve for the area. This can be done by multiplying the length by the width. Since the width is a fraction, one must remember, that when multiplying an integer by a fraction, one will multiply the integer by the numerator (the top of the fraction), and then simplify by reducing the fraction, if possible. Reducing the fraction is when one divides both the numerator and the denominator by the GCF (Greatest Common Factor).

length=5\\\\width = \frac{17}{4}

length*width=area

Substitute,

5*\frac{17}{4}\\\\=\frac{85}{4}

area=\frac{85}{4}feet^{2}

4 0
3 years ago
Which equation best describes the line of best fit?
Andrej [43]
The y-value changes from 10 to 70 as the x-value changes from 0 to 10. That makes the slope (70 -10)/(10 -0) = 6, and the y-intercept = 10.

Selection A is the appropriate equation.
8 0
3 years ago
How do I solve this equation?
shusha [124]

Answer:

x≤-4 or x≥0.5

Step-by-step explanation:

3 0
3 years ago
Jason consumes 1500 calories and needs to
Lubov Fominskaja [6]

Answer:

100*150=15000 calories

Step-by-step explanation:

100 times 150 is 15000 because you are multipling 2 people

I don't know if it is correct

just check and if it isn't then check some one elses work.

6 0
3 years ago
4(2x + 3) ÷ 5y From the expression above, provide an example of each of the following: sum, term, product, factor, quotient, and
Ann [662]

Answer:

Sum - 2x + 3

term - 2x

Product - 4(2x + 3)

Factor - not present

quotient - (2x + 3) / 5

Coeffecient - 4(2x + 3)

I really hope this helps

6 0
3 years ago
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