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netineya [11]
3 years ago
6

Kate is allowed to work no more than 20 hours a week. She has already worked 13 hours this week. At most, how many more hours CA

N she work? Write an inequality and solve.
A) x + 13 ≤ 20; x ≤ 7
B) x + 13 ≥ 20; x ≥ 7
C) x + 13 < 20; x < 7
D) x + 13 > 20; x > 7
Mathematics
1 answer:
Alja [10]3 years ago
8 0

Answer:

A) \displaystyle x + 13 ≤ 20; x ≤ 7

Step-by-step explanation:

The keywords are no more than, meaning that twenty hours is the MAXIMUM, or LIMIT, so you would choose this answer choice.

* There IS a range, so you must include <em>equal</em><em> </em><em>to</em>.

I am joyous to assist you anytime.

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Answer:

(-3, 4)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = -x + 1

2x + 3y = 6

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                    2x + 3(-x + 1) = 6
  2. Distribute 3:                         2x - 3x + 3 = 6
  3. Combine like terms:           -x + 3 = 6
  4. Isolate <em>x</em> terms:                   -x = 3
  5. Isolate <em>x</em>:                              x = -3

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define equation:                     y = -x + 1
  2. Substitute in <em>x</em>:                        y = -(-3) + 1
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olchik [2.2K]

Answer:

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Step-by-step explanation:

3 0
3 years ago
3.
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Answer:

G. 78.5 / π

{ i hope this helps :) i'm sorry if its wrong }

8 0
3 years ago
Let U={x: x is an integer and 2≤x≤10}. In each of the following cases, find A,B and determine whether A⊆B,B⊆A, both or neither:
12345 [234]

A is not a subset of B but B is a subset of A (that is can be found in A) that is B⊆A is correct

<h3>Set theory</h3>

Set is defined as the arrangement of elements. They can be represented using the venn diagram.

Given the following sets

U = {x: x is an integer and 2≤x≤10} = {3, 4, 5, 6, 7, 8, 9}
A = {x: 2x+1>7} = {x > 3}

B={x: x^2>20} = {x >± 20}

From the set, can see that A is not a subset of B but B is a subset of A (that is can be found in A) that is B⊆A is correct

Learn more on sets here: brainly.com/question/13458417

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Answer: B.f(n)9n-12

Step-by-step explanation:

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