Can somebody help me please I need help

The ratio of Michaels's points on an English test to Paloma's points on the same test is 12:11. The ratio of Michaels's points o

diamong [38]

The difference between Palomas and Antons' points on the English test is of 14 points.

<h3>What is Ratio ?</h3>

When two numbers can be written in the form as p:q , they are said to be in Ratio.

It is given that

The ratio of Michaels point to Paloma point is 12 :11

The ratio of Michaels point to Anton's Point is 4:3

Let Paloma's point be x

then Michaels point will be 12x/11

and Anton's points will be

(12x/11 ) / Anton's points = 4 /3

Anton's points = 9x/11

It is given that the sum of the points of the three students is 224

so

x + (12x/11)+ (9x/11) = 224

32x /11 = 224

x = 77

Paloma's points = 77

Anton's Points = 9x/11 = 63

The difference between Palomas and Antons' points on the English test

=77 -63

= 14 points.

To know more about Ratio

brainly.com/question/13419413

#SPJ1

3 0

1 year ago

Solve the inequality. Graph the solution set, and write it using interval notation. |5x+4|less than or equal to 10

aniked [119]

we have the inequality

$\lvert5x+4\rvert\leq10$

step 1

Find out the first solution (positive case)

$\begin{gathered} +(5x+4)\leq10 \\ 5x\leq10-4 \\ 5x\leq6 \\ x\leq\frac{6}{5} \\ x\leq1.20 \end{gathered}$

The first solution is all real numbers less than or equal to 1.20

Interval (-infinite,1.20]

step 2

Find out the second solution (negative case)

$-(5x+4)\leq10$

Multiply by -1 both sides

$\begin{gathered} (5x+4)\ge-10 \\ 5x\ge-10-4 \\ 5x\ge-14 \\ x\ge-\frac{14}{5} \\ x\ge-2.8 \end{gathered}$

The second solution is all real numbers greater than or equal to -2.8

the interval [-2.8, infinite)

step 3

Find out the solution to the given inequality

The solution is

[-2.8, infinite) ∩ (-infinite,1.20]=[-2.8,1.20]

the solution is the interval [-2.8,1.20]

see the attached figure to better understand the problem

8 0

1 year ago

Steve invests in a circus production. The cost includes an overhead of $84,000, plus production costs of $2000 per performance.

Dima020 [189]

Answer:

14

Step-by-step explanation:

Given that Steve invests in a circus production. The cost includes an overhead of $84,000, plus production costs of $2000 per performance. A sold-out performance brings in $8000.

Sales per performance =8000

Production cost per performance =2000

Contribution per performance = $8000-2000=6000$

Overhead costs = 84000

Break even units = overhead cost/contribution per performance

= $\frac{84000}{6000} \\=14$

14 performances should be done to break even

3 0

3 years ago

alaina owes her mom $15 and her friend $27. then she babysat and earned $35. how much more money does alaina need to earn in ord

tino4ka555 [31]

35 - 27 = 8

15 - 8 = 7

She just payed off her best friend and has $8 left.

So she needs to earn $7 more to pay off the $15 she owes her mom

4 0

2 years ago

Complete the statement with <, >, or =.<br> 5/5 ____ 1

stiks02 [169]

The answer is =
Any number divided by itself = 1

4 0

3 years ago