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Tems11 [23]
3 years ago
15

Which property justifies the statement?

Mathematics
2 answers:
anzhelika [568]3 years ago
5 0

In tis question it is given that,

If x = y + 2 and y + 2 = 8, then x = 8.

Let's check out transitive property  which states that

If

a=b \ and \ b=c

Then,

a=c

In this question,

a=x , b=y+2,c=2

SO we can say that the given expression follows transitive property of equality .

And the correct option is the first option .

notka56 [123]3 years ago
3 0
Transitive property of equality because you substituted x by 8
You might be interested in
3 exponet 8×4+9÷1×56+57
nika2105 [10]
You would use PEMDAS

But since any number divided by 1 is the number by which it is divided by then you can eliminate that. Now your problem looks like this:
8✖️4➕9✖️56➕57

Since there are no parentheses or exponents then you would multiply.
8✖️4= 32
32➕9✖️56➕57

Then multiply the other multiplication problem.
9✖️56= 504
32➕504➕57

Now you can add all of the numbers together
32➕504=536
536➕57=593

Your answer is 593

Hope this helps! :3
4 0
3 years ago
Read 2 more answers
A rectangular field has side lengths of 2/3 mile and 3/4 mile. What is the area of the field.
Ray Of Light [21]
A = LW
A = 2/3 * 3/4
A = 6/12 = 1/2 miles^2
4 0
3 years ago
How to solve y for this problem:
True [87]
16x+9=9y-2x\ \ |Add\ 2x\ to\ both\ sides\\\\
16x+9+2x=9y-2x+2x\\\\
18x+9=9y\ \ \ |Divide\ by\ 9\\\\
\frac{18x}{9}+\frac{9}{9}=\frac{9y}{9}\\\\
2x+1=y\\\\
Solution\ is\ y=2x+1.
6 0
3 years ago
A rectangular box with a square base is to be constructed from material that costs $9 per ft2 for the bottom, $5 per ft2 for the
kramer

Answer:

18.73ft^3

Step-by-step explanation:

Let

Side of square base=x

Height of rectangular box=y

Area of square base=Area of top=(side)^2=x^2

Area of one side face=l\times b=xy

Cost of bottom=$9 per square ft

Cost of top=$5 square ft

Cost of sides=$4 per square ft

Total cost=$204

Volume of rectangular box=V=lbh=x^2y

Total cost=9(x^2)+5x^2+4(4xy)=14x^2+16xy

204=14x^2+16xy

204-14x^2=16xy

y=\frac{204-14x^2}{16x}=\frac{102-7x^2}{8x}

Substitute the values of y

V(x)=x^2\times \frac{102-7x^2}{8x}=\frac{1}{8}(102x-7x^3)

Differentiate w.r.t x

V'(x)=\frac{1}{8}(102-21x^2)=0

V'(x)=0

\frac{1}{8}(102-21x^2)=0

102-21x^2=0

102=21x^2

x^2=\frac{102}{21}=4.85

x=\sqrt{4.85}=2.2

It takes positive because side length cannot be negative.

Again differentiate w.r. t x

V''(x)=\frac{1}{8}(-42x)

Substitute the value

V''(2.2)=-\frac{42}{8}(2.2)=-11.55

Hence, the volume of box is maximum at x=2.2 ft

Substitute the value  of x

y=\frac{102-7(2.2)^2}{8(2.2)}=3.87 ft

Greatest volume of box=x^2y=(2.2)^2\times 3.87=18.73 ft^3

5 0
4 years ago
Manda swims 40 meters per minute. She uses the inequality below to calculate how many minutes, m, it takes her to swim at least
Paul [167]

Answer:

A

Step-by-step explanation:

7 0
3 years ago
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