HELP ME PLZ1 The ratio of teachers to students is 1 to 26. Find all equivalent ratios. *
a. 52 to 2
b. 11 to 286
c. 26 to 1
d. 5 to 130
e. 0.25 to 6.5
f. 1/2 to 19 1/2.

Answers

Answer 1

Answer: B,D, E
B because 11*26=286 and 1*11=11
D because 5*26=130 and 1*5=5
E because 26*.25=6.5 and 1*.25=.25
It isnt a or c because 1:26 does not equal 26:1

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The sum of the ages of Arturo, Benny, and Carlos is 41 years. Twice Arturo's age exceeds the sum of Benny and Carlos's ages by one year. Five years ago, Benny was 2 years more than twice as old as Carlos. Find their ages now

Answers

Answer: Arturo is 14 years

Benny is 17 years

Carlos is 10 years

Step-by-step explanation:

Let x represent the age of Arturo.

Let y represent the age of Benny.

Let z represent the age of Carlos.

The sum of the ages of Arturo, Benny, and Carlos is 41 years. It means that

x + y + z = 41- - - - - - - - - - - - -1

Twice Arturo's age exceeds the sum of Benny and Carlos's ages by one year. It means that

2x = y + z + 1- - - - - - - - - 2

Five years ago, Benny was 2 years more than twice as old as Carlos. It means that

y - 5 = 2(z - 5) + 2

y - 5 = 2z - 10 + 2

y = 2z - 8 + 5

y = 2z - 3

Substituting y = 2z - 3 into equation 2, it becomes

2x = 2z - 3 + z + 1

2x = 2z + z - 3 + 1

2x = 3z - 2

x = 3z/2 - 1

Substituting y = 2z - 3 and

x = 3z/2 - 1 into equation 1, it becomes

3z/2 - 1 + 2z - 3 + z = 41

Multiplying through by 2, it becomes

3z - 2 + 4z - 6 + 2z = 82

3z + 4z + 2z - 2 - 6 = 82

9z - 8 = 82

9z = 82 + 8 = 90

z = 90/9

z = 10

x = 3z/2 - 1 = (3 × 10)/2 - 1

x = 14

y = 2z - 3 = 2 × 10 - 3

y = 17

Please help me please

Answers

Answer:

Step-by-step explanation:

its number 2

Х
1
2
3
4
у
2
4
6
8
Determine the slope

Answers

Answer:

m=2

Step-by-step explanation:

(1,2), (2,4)

4-2/2-1

2/1

m=2

Quick question!!!!!!!

Answers

Answer:

72.5

Step-by-step explanation:

Solve for x in the triangle below. Show your work for full credit

Answers

Answer:

x = 3

Step-by-step explanation:

Since the sum of the interior angles of a triangle is always equal to 180°. This is regardless of the size or shape of the triangle.

In this case:

We can say that:

$\sf 45^\circ + 90^\circ + (8x+21)^\circ =180^\circ$

Simplify like terms:

$\sf 45^\circ + 90^\circ + 8x+21^\circ =180^\circ$

$\sf 156^\circ +8x = 180^\circ$

Subtract 156° on both sides:

$\sf 156^\circ +8x -156^\circ= 180^\circ- 156^\circ$

Simplify:

$\sf 8x = 24^\circ$

Divideby8 on both sides:

$\sf (8x)/(8)=(24)/(8)$

$\sf x = 3$

Therefore, the value of x is 3.

Answer:

$\sf\n\textsf{The square angle in the triangle indicates }90^o.\n\n\textsf{Since sum of angles of triangle equals }180^o,\n\n(8x+21)^o+45^o+90^o=180^o\n\textsf{or, }(8x+21)^o=45^o\n\textsf{or, }8x=24^o\n\therefore\ x=3^o$