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oksano4ka [1.4K]
3 years ago
6

Jeanne babysits for 6 per hour . She also works as a reading tutor for 10 per hour . She is only allowed to work20 hours per wee

k . This week,her goal is to make at least 75
A. Use system of inequality to model the scenario above . Let x represent babysitting hours and y represent tutoring hours
B. Use the model created in part A to create a graph representing jenne’s Probable income earned and possible number hours to work this week
C. Analyze the set of coordinates values that represent solutions for the model created in par A. Choose one of the coordinates within the solution and algebraically prove that the coordinates represents a true solution for the model
Mathematics
1 answer:
mel-nik [20]3 years ago
7 0
The correct answer would be C
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Using the digits 1 to 9, at most one time each, fill in the boxes so that the points make a parallelogram. Mathematically, use p
Lera25 [3.4K]

Answer:

\left\begin{array}{ccc}A\left( \boxed{3}  , \boxed{8} \right)&B\left( \boxed{9}  , \boxed{6} \right )\\\\C\left( \boxed{1}  ,  \boxed{4} \right)&D\left( \boxed{7}  ,  \boxed{2} \right )\end{array}\right

Step-by-step explanation:

The coordinates are:

\left\begin{array}{ccc}A\left( \boxed{3}  , \boxed{8} \right)&B\left( \boxed{9}  , \boxed{6} \right )\\\\C\left( \boxed{1}  ,  \boxed{4} \right)&D\left( \boxed{7}  ,  \boxed{2} \right )\end{array}\right

The parallelogram is attached below.

To verify if these coordinates form a parallelogram, we show that:

  • AB=CD; and
  • AC=BD

Using Distance Formula

AB = \sqrt{(6-8)^2+(9-3)^2} = \sqrt{(-2)^2+(6)^2} = \sqrt{40} $ units

CD = \sqrt{(2-4)^2+(7-1)^2} = \sqrt{(-2)^2+(6)^2} = \sqrt{40} $ units

AC = \sqrt{(8-4)^2+(3-1)^2} = \sqrt{(4)^2+(2)^2} = \sqrt{20} $ units

BD = \sqrt{(6-2)^2+(9-7)^2} = \sqrt{(4)^2+(2)^2} = \sqrt{20} $ units

Since AB=CD; and AC=BD, the coordinates A, B, C, and D form the vertex of a parallelogram.

3 0
4 years ago
If 420 = 120%, what would 100% equal?
Ira Lisetskai [31]

Answer:

350

Step-by-step explanation:

Introduction. Percent, p%

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100

120% = 120/100 = 120 ÷ 100 = 1.2

100% = 100/100 = 100 ÷ 100 = 1

Percentage of 120% of what number = 420?

120% × ? = 420

? =

420 ÷ 120% =

420 ÷ (120 ÷ 100) =

(100 × 420) ÷ 120 =

42,000 ÷ 120 =

350

<h2>Proof</h2><h3>How do we check the result?</h3>

If 120% × 350 = 420 =>

Divide 420 by 350...

... And see if we get as a result: 120%

<h3>Note:</h3>

Multiply a number by the fraction 100/100,

... and its value doesn't change.

100/100 = 100 ÷ 100 = 1

n/100 = n%, any number.

<h2>Hope it is helpful....</h2>
8 0
3 years ago
Alexis bought a CD player. She does not remember the price, but she does know that the 5% sales tax came to $4.80. What was the
snow_lady [41]

Answer:

Price of CD player = $96

Step-by-step explanation:

Given:

Sales tax = 5%

Amount of sales tax = $4.80

Find:

Price of CD player

Computation:

Price of CD player = Amount of sales tax / Sales tax

Price of CD player = 4.8 / 5%

Price of CD player = $96

6 0
3 years ago
pam is making fruit punch for a party using the ratio of 2 cups of club soda with 5 cups of juice. complete the table to show eq
inn [45]

Answer:

from left to right 4,20,25,20

Step-by-step explanation:

4 0
4 years ago
Learning Task 3: Solve the given problems. Write your answers in your answer sheet.
KonstantinChe [14]

Answer:

Team Nara collected more water

1.402 > 1.045

so team nara wins

3 0
3 years ago
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