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aleksklad [387]
3 years ago
8

Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of $65 along with an hourly rate of $28. T

he plumber only charges for a whole number of hours. Anand would like to spend no more than $250, and he wonders how many hours of work he can afford.
Let H represent the whole number of hours that the plumber works.

1) Which inequality describes this scenario?

Choose 1 answer:

A) 28 + 65H ≤ 250

B)28 + 65H ≥ 250

C) 65 + 28H ≤ 250

D) 65 + 28H ≥ 250

2) What is the largest whole number of hours that Anand can afford?

hours
Mathematics
1 answer:
kvasek [131]3 years ago
7 0

Answer

1.) B

2.)  3 hours

Step-by-step explanation:

1.)  option B is correct I think because it shows he will either be equal to or less than how much money he wants to spend

2.) i got three because if you sent up the equal I picked in question one then you subtract 28 from 250 giving u 222 and you divide that by 65 giving you 3.4 but he only charges by the whole hour so that .4 of an hour he wouldn't charge you for

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A drawer contains 22 black socks and 22 white socks. If the light is off and Matt reaches into the drawer to get his​ socks, wha
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Answer:  At least 3

Step-by-step explanation:

Lets solve this problem by the pidgeon hole principle. Suppose that Matt pulls out 2 socks, if he gets a matching pair then he is done and that's it. But now suppose that he gets one black sock and one white sock, if he then pulls out a third sock it will be either white or black, in either case he would have gotten with a 100% certainty a matching pair, since he already has a black and a white sock. So the minimum number to ensure he gets a matching pair is 3 socks.

5 0
3 years ago
The product of two numbers is 20. If one of the numbers is 5/14, what is the other number
Gnesinka [82]

Answer:

56 is the other number

Step-by-step explanation:

let the first number be a

the other number is 5/14 from the question

a x 5/14 = 20

5a/14 = 20

5a = 14  x 20 = 280

a = 280/5 = 56

5 0
3 years ago
Seth is using the figure shown below to prove the Pythagorean Theorem using triangle similarity:
Damm [24]

Part A: A pair of similar triangles is triangle DEF and triangle GFD.

Part B: Traingle DEF ~ triangle GFD by the AA Similarity Theorem

Part C: By applying the Leg Rule, the length of segment ED = 4 units.

<em><u>Recall:</u></em>

  • Based on the Angle-Angle Similarity Theorem (AA) two triangles that have two pairs of congruent triangles can be proven to be similar to each other.
  • In a right triangle where the altitude intersects the hypotenuse, the Leg Rule applies, which is: Hypotenuse/Leg = Leg/Part

The Figure of the given triangle DEF is shown in the attachment below.

<em><u>Part A: A Pair of Similar Triangles</u></em>

A pair of similar triangles are traingle DEF and triangle GDF

<em><u>Part B: Reason for Similarity</u></em>

Triangle DEF and GDF have two pairs of congruent angles, ∠EDF ≅∠DGF and ∠EFD ≅∠GFD.

  • Therefore, based on the AA Similarity Theorem, Traingle DEF ~ Triangle GDF.

<em><u>Part C: Length of Segment ED</u></em>

Given the following,

  • EF = 8 (Hypotenuse)
  • EG = 2 (Part)
  • ED = ? (Leg)

Thus:

8/ED = ED/2 (Leg Rule)

  • Cross multiply

ED² = (8)(2)

ED² = 16

  • Find the square root of both sides

ED = 4

Learn more about AA Similarity Theorem on:

brainly.com/question/24147586

5 0
3 years ago
Find the area and divide
Nana76 [90]

<u>Rectangle</u>

3 * 8 = 24

<u>Triangle</u>

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6 0
3 years ago
Find the measure of the missing angle
Leokris [45]

Answer:

z = 69°

Step-by-step explanation:

The sum of all interior angles in a quadrilateral is 360°, and a right angle is worth 90°. We're given the values of the interior angles as 90, 122, 79, and z degrees.

  • We can solve this question algebraically with the equation 90 + 122 + 79 + z = 360

Step 1: Combine like terms.

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Step 2: Subtract 291 from both sides.

  • z + 291 - 291 = 360 - 291
  • z = 69

Step 3: Check if solution is correct.

  • (69) + 261=360
  • 360 = 360

Therefore, z = 69°.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

6 0
2 years ago
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