MATHEMATICS MIDDLE SCHOOL

What is a common denominator of
1
4
and
7
10
?

Answers

Answer 1

Answer:

The common denominator is = 20

Step-by-step explanation:

I'm guessing its

1/4 and 7/10

= 1/4 and 7 /10

Pick the denominator

4 and 10

Find the LCM

2║4║10

2║2║5

5║1 ║5

║1 ║1

2 × 2 × 5 = 20

The common denominator for 1/4 and 7/10 is 20

Answer 2

Answer: 20 is the common denominator

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together Xavier,Yolanda,and Zachary have $4.44 . if each person has the same amount , how much money does each person have?

Answers

If their are 3 of them and they all have the same amount, and the finishing total is $4.44, Then they would each have $1.48. If you need the work take $4.44 and divide it by 3.

$1.48 because $4.44 divided by 3 equals $1.48

a diagonal shortcut across an empty rectangular lot is 97 feet . the lot is 72 feet long , what is the other dimension of the lot

Answers

A² + B² = C²

72² + B² = 97²

B² = 4225

B = √4225

B = 65 ft

Twenty two quarts is equivalent to how many gallons?
4.5
5.5
C
6.5
7.5

Answers

Answer:

5.5 gallons

Step-by-step explanation:

There are 4 quarts in 1 gallon.

22 ÷ 4 = 5.5

I hope this helps :)

Solve the system of equations and choose the correct answer from the list of options. (4 points)x − y = 7
y = 3x + 12

Select one:
a. 2 /19 comma 2 / 33
b. negative 2 / 19 comma negative 33 / 2
c. negative 19 / 2 comma negative 33 / 2
d. 19 / 2 comma 33 / 2

Answers

Answer:

c. negative 19 / 2 , negative 33 / 2

Step-by-step explanation:

x − y = 7

y = 3x + 12

Substitute y = 3x + 12 into x − y = 7

x − (3x + 12) = 7

x - 3x - 12 = 7

-2x - 12 = 7

-2x = 19

x = -19/2

Substitute x = -5/2 into x − y = 7

-19/2 − y = 7

y = -19/2 - 7

y = - 5/2 - 14/2

y = -33/2

Answer:

x = -19/2, y = -33/2

Which of the following is a proper fraction.
7/6 4/3 1/2. or 3/3

Answers

1/2. The numerator is smaller than the denominator.

If line b is perpendicular to line a, and line c is perpendicular to line a, what is the slope of line c?mc = _____

Answers

we know that

If line b is perpendicular to line a, and line c is perpendicular to line a,

then

line b and line c are parallel

and two lines parallel have the same slope

Find the slope of the line b

Let

$A(-3,-2)\nB(2,3)$

The formula to calculate the slope between two points is equal to

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

$(x1,y1)=(-3,-2)\n(x2,y2)=(2,3)$

substitute

$m=((3+2))/((2+3))$

$m=((5))/((5))$

$m=1$

therefore

the answer is

the slope of the line c is

$mc=1$

If two lines are perpendicular, then the product of the slope is -1.

Thus, the slope of line c is m which is the same as line b.

What is the linear system?

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

Line b is perpendicular to line a, and line c is perpendicular to line a.

To find

The slope of line c.

We know that the slope theorem

If two lines are perpendicular, then the product of the slope is -1.

Let the slope of line b be m, then the slope of line a will be .

$\rm m_am_b = -1$