Assign two variables for each problem, and write the equations. Do not solve.In the Alice High School band, the number of trumpet players is 4 times the number of French horn players. There are 35 trumpet and French horn players in the band. How many people play the trumpet?

Answers

Answer 1

Answer: Call the number of trumpet players "T" and the number of horn players "H".

We can use the given information to set up equations:

1."the number of trumpet players is 4 times the number of French horn players"
$T=4H$

2. "There are 35 trumpet and French horn players in the band."
$T+H=35$

If you were asked to solve you could now do it by substitution:
$4H+H=35$
$5H=35$
$H=7$
$T=4H$
$T=4(7)$
$T=28$

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How many time does three go into 4356

if employee a logged 120 hours of travel in four years and employee b logged hours of travel at a 20% higher rate, how many more hours did employee b have than employee a after 1.5 years

Answers

Traveled hours by a in four years = 120
Traveled hours by b in four years = (120/100) * 120
= 144
Excessive hours traveled by b in 4 years = 144 - 120
= 24
Excessive hours traveled by b in 1.5 years = (24/4) * 1.5
= 9 hours

4. (02.06 MC)A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches.
Usen 3.14
What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work. (10 points)

Answers

Answer: See explanation

Step-by-step explanation:

Diameter = 8 inches

Radius = Diameter/2 = 8/2 = 4 inches

Height of the cylinder = 3 inches

Height of the cone = 18 inches

Volume of a cylinder = π r² h

= 3.14 × 4² × 3

= 3.14 × 16 × 3

= 150.72

Volume of a cone = 1/3 π r² h

= 1/3 × 3.14 × 4² × 18

= 1/3 × 3.14 × 16 × 18

= 301.44

From the answer gotten, we can deduce that the volume of the cone is twice the volume of the cylinder.

Translate the sentence into an equation.Nine times the sum of a number and 3 is 5.
Use the variable x for the unknown number.

Answers

Answer: 9 (3 + x) = 5

Step-by-step explanation: hope this helps

Answer:

9(X) x 3 =5

Step-by-step explanation:

36 is 28% of what number

Answers

10.8 or 10.08 there both the same :)

(3x+8)+x>3x-12 can someone tell me how to solve it because already know the answer which is x>-20

Answers

(3x + 8) + x > 3x - 12
3x + x + 8 > 3x - 12
      4x + 8 > 3x - 12
      - 3x     - 3x
      x + 8 > -12
      - 8   - 8
      x > -20

Solution Set: (-∞, -20)

Match the following problems with their answer, HELP ME PLEASE!!!!!

Answers

Answer:

1. 12.5%

2. 26%

3. 51

4. 16

Step-by-step explanation:

3/24=0.125 -> 12.5%

65/250=0.26 -> 26%

300*0.17=51

0.4*40=16

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