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boyakko [2]
3 years ago
15

Jane multiplies her number by three and subtracts 2.

Mathematics
1 answer:
katrin [286]3 years ago
3 0

Answer:

Let the number they chose be 'x'.

Result of Jane = 3x -2

Result of Elliot = 2x+3

Given that,

The product of their result = 110

or, (3x-2)(2x+3) = 110\\or, 6x^{2} +9x-4x-6 = 110\\or, 6x^{2} +5x - 6 = 110\\or, 6x^{2} +5x - 6-110 = 0\\\\or, 6x^{2} +5x - 116 = 0\\or, 6x^{2} +29x - 24x - 116 = 0\\or, x (6x +29) -4(6x+29) = 0\\or, (x-4)(6x+29) = 0\\i.e. x=4 or x=\frac{-29}{6} \\So,~ the ~number ~they~ chose~was ~either ~4 ~or ~\frac{-29}{6}

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In ADEF, f = 610 inches, e = 590 inches and ZE=70°. Find all possible values of ZF,
Elina [12.6K]

Answer:

"76°" is the appropriate solution.

Step-by-step explanation:

Please find attachment of the diagram according to the given query.

The given values are:

In ΔDEF,

f = 610 inches

e = 590

∠E = 70°

∠F = ?

By using the law of sines, we get

⇒  \frac{Sin E}{e} =\frac{Sin  F}{f}

On substituting the values, we get

⇒  \frac{Sin70^{\circ}}{590} =\frac{SinF}{610}

On applying cross multiplication, we get

⇒   SinF=\frac{610\times Sin 70^{\circ}}{590}

On substituting the values, we get

⇒            =\frac{61\times 0.95969262}{59}

⇒            =\frac{57.3212499}{59}

⇒            =0.971546608

now,

⇒  F=Sin^{-1}(0.971546608)

⇒      =76^{\circ}

4 0
3 years ago
Plesse help me i need help me 5 year old pls help
Basile [38]

Answer:

1.12243

2.1111

3.128.33333

4.6000

5.17

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
A new car is purchased for 15700 dollars. The value of the car depreciates at 7.5% per year. To the nearest year, how long will
devlian [24]

Answer:

10100=15700(1-0.075)^x

10100=15700(0.925)^x

divide both sides by 15700

0.925^x=101/157

convert decimal

(37/40)^x=101/157

take the log

x= log 37/40 (101/157)

x= 5.65824

7 0
3 years ago
Of the 85% of the students in a class who studied for a test,75% passed the test.Of the 15% of the students who didn't study,30%
galina1969 [7]
Probability works for any given number, so we will assume there are 100 students. Of those 100, 85 of them studied. Since 75% of 85 students passed, we will multiply 85 by 0.75. This gives us 60. So of the students who studied, 60 of them passed. Of the 15 students that didn’t study, 30 percent passed. So we multiply 15 by 0.3. This gives us 4.5 students. Add up 60 and 4.5, and you get 64.5. The probability of passing is 64.5%. If you want to round up, it would be 65%. If you want to round down, it would be 64%. But the most precise answer is 64.5%.
3 0
3 years ago
-24-(-6)+(-31)<br> step by step<br> be sure to simplify first
trasher [3.6K]

Answer:

-49

Step-by-step explanation:

rule of thumb: whenever you have two negatives, they equal a positive! when you have one negative and one positive, it is a negative!

  1. let's start by going from left to right :))
  2. -24 -(-6) + (-31)
  3. -(-6) is actually + 6!
  4. -24 + 6 + (-31)
  5. +(-31) would be -31 because one - and one + is a -
  6. -24 + 6 - 31
  7. -18 - 31
  8. -49

comment or message me if you are still confused or have a question!

8 0
2 years ago
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