MATHEMATICS MIDDLE SCHOOL

V equals lwh solve for l
$v = lwh \: solve \: for \: l$

Answers

Answer 1

Answer:

v = l*w*h

divide by wh on each side

v/wh =lwh/wh

v/(wh) = l

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Which system of equations can be used to solve the following problem?Each child ticket for a ride costs $3, while each adult ticket costs $5. If the ride collected a total of $115, and 33 tickets were sold, how many of each type of ticket were sold? Let c be the number of child tickets and a be the number of adult tickets.A.3c+5a=33a + c=115B. 3a+5c=33a + c=115C. 5c+3a=115c + a=33D. 3c+5a=115a +c

Solve for X: 2 ( × - 3 ) = 1.2-x

Answers

when solving an equation, you must do the same thing to both sides or else it won't be equal

when dealing with one unknown (x) try to get the unknown on one side

2(x-3)=1.2-x
distribute or multiply 2 by x then -3

so (2 times x)+(2 times -3[remember negative times positive=negative])
2x-6=1.2-x
add 6 to both sides
2x=7.2-x
add x to both sides
3x=7.2
divide both sides by 3
x=2.4

2(x-3) = 1.2-x
2x-6 = 1.2-x
2x+x = 1.2+6
3x = 7.2
3x/3 = 7.2/3
x = 2.4

a square has a side length of x. A rectangle has a length that is 4 inches longer than the square and a width that is 2 inches shorter than the square. If the areas of the square and rectangle are equal, what is the length of the rectangle?

Answers

Answer:

Length of the rectangle is = 8 inches.

Step-by-step explanation:

Given :

Area of square = Area of the rectangle

According to the question:

Length of the square be 'x'.

Its area = (Side)*(Side) = $x^2$ ...equation (i)

Length of the rectangle = $(x+4)$

Width of the rectangle = $(x-2)$

Area of the rectangle =Length * Width

⇒ $(x+4)(x-2)=x^2-2x+4x-8$

⇒ $x^2+2x-8$ ...equation (ii)

Equating both the equation as area of both the figure are equal.

⇒ $x^2+2x-8=x^2$

⇒ $2x-8=0$ ...subtracting $x^2$ both sides

⇒ $2x=8$ ...dividing both sides with 2

⇒ $x=(8)/(2)=4$ inches

Plugging the value of x=4 in the length of the rectangle.

We have,

⇒ $(x+4)=(4+4)=8$

So the length of the rectangle = 8 inches.

HELP PLEASE I WILL GIVE BEST ANSWERAngela is studying two types of birds. She measures the wingspan, in inches, of five Type 1 birds and five Type 2 birds.

What can she infer about the wingspans of the two types of birds?

Type 1: {18, 24, 20, 22, 26}
Type 2: {24, 21, 19, 26, 30}

A.
Type 1 and Type 2 birds have similar wingspan distributions.

B.
Type 1 and Type 2 birds have somewhat similar wingspan distributions.

C.
Type 1 birds and Type 2 birds do not have similar wingspan distributions.

D.
Type 1 birds and Type 2 birds have identical wingspan distributions.

Answers

Answer:

Step-by-step explanation:

The given data set for type 1 of birds is:

Type 1: {18, 24, 20, 22, 26}

Type 2: {24, 21, 19, 26, 30}

Mean of the type 1 data is:

$Mean=(18+24+20+22+26)/(5)=(110)/(5)=22$

Data $(x-{\overline{x})^2$

18 16

24 4

20 4

22 0

26 16

Now, mean average of squares is:

$m=(40)/(5)=8$

Standard deviation= $SD=√(8)=2.828$

Now, the difference of mean and its standard deviation of type 1 data set is:

=22-2.828

Difference =19.172

The given data set for type 2 of birds is:

Type 2: {24, 21, 19, 26, 30}

Mean of the type 2 data is:

$Mean=(24+21+19+26+30)/(5)=(120)/(5)=24$

Data $(x-{\overline{x})^2$

24 0

21 9

19 25

26 4

30 36

Now, mean average of squares is:

$m=(74)/(5)$

$m=14.8$

Standard deviation= $SD=√(14.8)=3.84$

Now, the difference of mean and its standard deviation of type 2 data set is:

=24-3.84

Difference=20.16

Since, the difference of mean and standard deviation of both type 1 and type 2 data set is different, therefore, Type 1 birds and Type 2 birds do not have similar wingspan distributions.

Hence, option C is correct.

Answer:

Type 1 and Type 2 birds have similar wingspan distributions.

Step-by-step explanation:

The GCF of any two even numbers is always even. Determine whether the statement is true or false. If true, explain why. If false, give a reason.

Answers

The question is asking us whether it is true that The GCF of any two even numbers is always even. GDF means the greatest common factor, for example the GCF of 24 and 32 is 8 - it's the biggest of their factors. The GCF is a multiple of all the (prime) common factors, and 2 is a common factor of two even numbers, so GCF will always be even - this is true!

It is true that the GCF of any two even numbers is always even. GCF refers to the greatest common factor that two or more numbers have, and obviously it is going to be an even number. Take 18, 30, and 42 as your example - their GCF will be 6, which is an even number, as are those three numbers. GCF of odd numbers will be odd, and GCF of an odd and even number is also always even.

At the library the average ratio of a hardbound books to paperback books on a shelf is 5:3. How many paperback books does 75 have

Answers

(I may be wrong) But I got 125 hardbound books by dividing 75 and 3 and I got 25, then I multiplied 25 and 5 and got 125.

The points (-6, r) and (10,4) lie on a line with slope 1/2Find the missing coordinate r.

Answers

Answer:

r = -4

Step-by-step explanation:

The slope of a line is given by

m= (y2-y1)/(x2-x1)

1/2 = (4-r)/(10 - -6)

1/2 = (4-r) (10+6)

1/2 =( 4-r) /16

Multiply each side by 16

16*1/2 = 4-r

8 = 4-r

Subtract 4 from each side

8-4= 4-r-4

4 = -r

Multiply each side by -1

-4 = r

Answer:

-4

Step-by-step explanation:

½ = (r - 4)/(-6 - 10)

½ = (r - 4)/(-16)

r - 4 = -8

r = -4

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PLEASE BE FAST !!!!!!John bought 6 dumplings for $3.00. Let x represent the number of dumplings purchased, and let y represent the total cost. Graph the line that represents the proportional relationship.15 POINTS