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daser333 [38]
2 years ago
13

John Smith is running for mayor of Midtown and promises voters that he will cut spending by at least 10% for

Mathematics
1 answer:
Illusion [34]2 years ago
7 0

Answer:

Answer b

Step-by-step explanation:

John Smith is running for mayor of Midtown and promises voters that he will cut spending by at least 10% for

the next fiscal year. Midtown's budget was $15.5 million this past year, and is projected to be $13.5 million for

this upcoming year. Is John Smith going to keep his promise? How much is he actually going to cut the

budget by to the nearest percent?

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Solving two-step equations 3x-2=16
Ivanshal [37]

Hey there!

<u>Solve </u><u>for </u><u>x </u><u>:</u>

  • Answer:

x = 6 ✅

  • Explanation:

3x - 2 = 16

<em>></em><em>></em><em> </em><em>Add </em><em>2</em><em> </em><em>to </em><em>both </em><em>sides </em><em>:</em>

3x - 2 + 2 = 16 + 2

3x = 18

<em>></em><em>></em><em> </em><em>Divide </em><em>e</em><em>ach </em><em>side </em><em>by </em><em>3</em><em> </em><em>:</em>

3x / 3 = 18 / 3

x = 6

▪️Let's verify :

3(6) - 2 ⇔18 - 2 ⇔ 16

Therefore, your answer is x = 6

Learn more about first-degree equations :

↣brainly.com/question/20205219

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2 years ago
ACD is a triangle and B is a point on AC. AB = 8cm and BC is 6cm. Angle BCD = 48° and angle BDC = 50°. (a) Find the length of BD
FromTheMoon [43]

Answer:

  • 5.8206 cm
  • 10.528 cm
  • 23.056 cm^2

Step-by-step explanation:

(a) The Law of Sines can be used to find BD.

  BD/sin(48°) = BD/sin(50°)

  BD = (6 cm)(sin(48°)/sin(60°)) ≈ 5.82064 cm

__

(b) We can use the Law of Cosines to find AD.

  AD^2 = AB^2 +BD^2 -2·AB·BD·cos(98°) . . . . . angle ABD = 48°+50°

  AD^2 ≈ 110.841

  AD ≈ √110.841 ≈ 10.5281 . . . cm

__

(c) The area of ∆ABD can be found using the formula ...

  A = ab·sin(θ)/2 . . . . . where a=AB, b=BD, θ = 98°

  A = (8 cm)(5.82064 cm)sin(98°)/2 ≈ 23.0560 cm^2

_____

Angle ABD is the external angle of ∆BCD that is the sum of the remote interior angles BCD and BDC. Hence ∠ABD = 48° +50° = 98°.

5 0
3 years ago
A horse ate 1.8 pounds of grass in 4 days how many grass can the horse eat for 7 days
jolli1 [7]
i think the answer to this is 3.15
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3 years ago
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2. χΣ -4<br> Please help
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Step-by-step explanation:

1)x is less than 7

2)x is greater than and equal to -4

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3 years ago
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In approximately 10 years the oak tree population will be 50% of what it is.  because 5 x 10 = 50. hope this helps :)

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