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jek_recluse
17 days ago
6

Martin is cleaning all the rooms in his house. There are 4 rooms left to clean, and he takes 7 hours to clean them. Write the eq

uation in standard form of the line that represents the number of rooms Martin has left to clean, y, after x hours.
Mathematics
1 answer:
Inessa [12.5K]17 days ago
7 0
Consequently, the equation determining the remaining number of rooms Martin has to clean after hours can be represented as:

y=-\frac{4}{7}x+b

, in which b indicates the overall number of rooms. Step-by-step explanation: It is given that Martin has 4 rooms left to clean and takes 7 hours for the task. The equation in standard form for the number of rooms remaining after x hours, y, is set up as follows: The remaining rooms y, indicates the quantity after x hours. The cleaning rate is established as follows: Considering Martin cleans 4 rooms in 7 hours, the rate at which he cleans is given by: Hence, the equation can be expressed as

y=-\frac{4}{7}x+b (Answer)

.
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Leona [12618]
Let X be the amount of 90% alloy and Y be the amount of 70% alloy. The equations are: x + y = 60  0.9x + 0.7y = 0.85 * 60 By substituting, we have: 0.9x + 0.7(60 - x) = 0.85 * 60 This simplifies to: (0.9 - 0.7)x = (0.85 - 0.7)*60 Solving for x yields: x = (0.85 - 0.7)*60/(0.9 - 0.7) x = 45 ounces For Y, we find: y = 60 - 45 y = 15 ounces
4 0
15 days ago
HELP PLEASE!
Zina [12379]

Answer:

Option 2  50 ≤ s ≤ 100

Option 5 She can make a deposit of $50

Option 6 She can make a deposit of $75

Detailed explanation:

Let

s represent the amount of money Layla puts into her savings account.

We know that

25% = 25/100 = 0.25

50% = 50/100 = 0.50

Thus

s\geq 0.25*200 -----> s\geq \$50

s\leq 0.50*200 -----> s\leq \$100

The compound inequality is

\$50 \leq s\leq \$100

Check each case

case 1) 25 ≤ s ≤ 50

This statement is false

Refer to the procedure

case 2) 50 ≤ s ≤ 100

This statement is true

Refer to the procedure

case 3) s ≤ 25 or s ≥ 50

This statement is false

Because s ≤ 100 and s ≥ 50

case 4) s ≤ 50 or s ≥ 100

This statement is false

Because s ≤ 100 and s ≥ 50

case 5) She can make a deposit of $50

This statement is true

As the value of s meets the compound inequality  \$50 \leq s\leq \$100

case 6) She can make a deposit of $75

This statement is true

As the value of s meets the compound inequality  \$50 \leq s\leq \$100

3 0
18 days ago
Read 2 more answers
Your job is to sort and sack marbles for sale. A bag contains 44 marbles, some red and some green. If there are 11 red marbles,
AnnZ [12381]

Response:

The correct choice is option C

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Step-by-step breakdown:

According to the problem statement:

A bag holds 44 marbles, comprising both red and green ones.

⇒Total marbles = 44

If it includes 11 red marbles.

Then;

Green marbles = Total marbles - red marbles.

By substituting the values provided,

Green marbles = 44 - 11 = 33

We are tasked with determining the ratio of green marbles to red marbles.

\frac{\text{Green marbles}}{\text{Red marbles}} = \frac{33}{11} = \frac{3}{1} = 3: 1

Consequently, the ratio of green to red marbles is 3: 1

8 0
20 days ago
Which expression is equivalent to StartFraction 3 x Superscript negative 6 Baseline y Superscript negative 3 Baseline Over 15 x
zzz [12365]

Answer:

The appropriate expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFraction

Step-by-step explanation:

In order to simplify the expression \frac{3x^{-6}y^{-3} }{15x^{2}y^{10} } where x ≠ 0, y ≠ 0, we must work through the given expression.

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The appropriate expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFraction

6 0
1 month ago
In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation in statistical polling is t
Inessa [12570]

Answer:

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Explicación paso a paso:

Según el enunciado, nos informan que

La proporción de la muestra es \r p = 0.35

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\r p -E < p < \r p +E

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=> 0.325 < p < 0.375

7 0
1 month ago
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