All categories

3 years ago

A teacher's age is 6 years greater than 2 times a student's age. A principal's age is 10 years greater than 3 times

Mathematics

1 answer:

dlinn [17]3 years ago

5 0

Answer:

b. <u>x + 4</u>

Solution:

Student's age = x

Teacher's age = 6 + 2x

Principal's age = 10 + 3x

Difference in the age of the teacher and principal

(10 + 3x) - (6 + 2x)

= 10 + 3x - 6 - 2x

= (10 - 6) + (3x - 2x)

= 4 + x

You might be interested in

How many solutions can be found for the equation −4x − 11 = 2(x − 3x) + 13? (4 points) none or one or two or infinitrly many

Nadya [2.5K]

There is one solution

5 0

3 years ago

Which of the following inequalities has the solution set shown on the graph?

PilotLPTM [1.2K]

Answer:

option A) y > 5/4x + 10

Step-by-step explanation:

Take any point in the shaded region

( -12 , 1)

y > 5/4 x + 10

1 > 5/4 * (-12) + 10

1 > 5*(-3) +10

1 > -15 + 10

1 > -5

(-12 , 5) satisfies the equation.

7 0

2 years ago

I need help on this math problem !

xeze [42]

Answer:

181 units²

Step-by-step explanation:

Let's break up the polygon into 3 shapes

Step 1: Area of the left rectangle

4(7) = 28 units²

Step 2: Area of middle rectangle

9(13) = 117 units²

Step 3: Area of top square

6² = 36 units²

Step 4: Add them all up

28 + 117 + 36 = 181 units²

8 0

3 years ago

Please help. The numerator is an x

Sati [7]

Answer:

x = 30

Step-by-step explanation:

$\frac{x}{6} +1=6\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\frac{x}{6}+1-1=6-1\\\\Simplify\\\frac{x}{6}=5\\\\\mathrm{Multiply\:both\:sides\:by\:}6\\\frac{6x}{6}=5\times\:6\\\\Simplify\\x=30$

7 0

3 years ago

Which fraction is in reduced form?

kompoz [17]

Answer:

C 5/13

Step-by-step explanation:

A fraction is written in reduced form if there are no common factors in the numerator and denominator. Since you know your multiplication tables, you can easily identify the common factors:

A 20 = 5·4, so 4 is a common factor 4/(4·5) = 1/5

B 6 = 2·3, 9 = 3·3, so 3 is a common factor (2·3)/(3·3) = 2/3

C 13 is not a multiple of the prime number 5, so there are no common factors. 5/13 is a reduced fraction

D 14 = 2·7, 21 = 3·7, so 7 is a common factor (2·7)/(3·7) = 2/3

8 0

3 years ago