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hammer [34]
2 years ago
8

Solve the equastion for x + 2 1/2 =10

Mathematics
1 answer:
Virty [35]2 years ago
8 0

Answer:

x= 7 1/2

Step-by-step explanation:

Subtract the 1/2 to get it out of the way (whatever you do on one side of the = sign you have to do to the other)

So 10- 1/2= 9 1/2

Subtract the 2 to get it out of the way

9 1/2-2=

7 1/2

Hope it helped :)

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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
A restaurant uses 33 pounds of pasta for a party of 14 people. If they are cooking pasta for a party of 5656 people, what should
Hoochie [10]
5656people(33lbs/14people)=13332 lbs  
4 0
3 years ago
Find the zeros of the function: f(x) = x^2 - 4x - 21
IrinaK [193]

Answer:

x = 7, x = -3

Step-by-step explanation:

We can find the zeros by factoring the equation using the zero product property.

x^2-4x-21 = 0

(x-7)(x+3) = 0

<u>x-7 = 0</u>

x = 7

<u>x+3 = 0</u>

x = -3

Zeros are x=7 and x= -3.

5 0
3 years ago
Which of the following statements best describes the value of the expression 12x + 12, when x = 8?
miss Akunina [59]

if x is 8 then 12(8) + 12

12 times 8 is 96

96 + 12=108

the answer is 108

8 0
3 years ago
Read 2 more answers
I don't understand the question.<br><br>How do I work and answer it ?!!
gavmur [86]
I think its 32 minus 16 which is 16, dont forget to label!
3 0
3 years ago
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