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ss7ja [257]
3 years ago
8

Adding & Subtractiny Add. 1. 3+(-7)

Mathematics
1 answer:
erik [133]3 years ago
3 0

Answer:

\Huge \boxed{-4}

Step-by-step explanation:

To solve this problem, first you have to use adding & subtracting integers from left to right.

First, add & subtract numbers from left to right.

3+(-7)=-4

Therefore, the correct answer is -4.

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A laptop computer is purchased for 2500 . After each year, the resale value decreases by 25% . What will the resale value be aft
balandron [24]

Answer: the resale value would be $791 after 4 years

Step-by-step explanation:

We would apply the formula for exponential decay which is expressed as

y = b(1 - r)^x

Where

y represents the value of the laptop computer after x years.

x represents the number of years.

b represents the initial value of the laptop computer.

r represents rate of decay.

From the information given,

P = $2500

x = 4

r = 25% = 25/100 = 0.25

Therefore,

y = 2500(1 - 0.25)^4

y = 2500(0.75)^4

y = $791

6 0
3 years ago
What is the distance of the line segment between the endpoints (-6,5),(4,-5)​
Mama L [17]
The distance between two points is given by
Root of (x2 - x1) squared + (y2 - y1) squared
= root of (10 squared )+( -10 squared )
= root of 100 + 100
= root of 200
6 0
3 years ago
A ride-share company has a fee that includes a fixed cost and a cost that depends on both the time spent travelling, in minutes,
zlopas [31]

Answer:

the cost of Roy's ride is $23.05

Step-by-step explanation:

According to the Question,

Let, Cost of per minute charge is 'x' & Cost Of Per Kilometre charge is y .

  • Given, A ride-share company has a fee of the fixed cost of a ride is $2.55 .
  • And, The Total cost of the Ride depends on both the time spent on travelling(in minutes), and the distance travelled(in kilometres) .

⇒ Judy's ride costs $16.75 . but the actual cost after deducting the fixed charge is 16.75-2.55 = $14.20, took 8 minutes & The distance travelled was 10 km. Thus, the equation for the journey is 8x+10y=14.20 ⇒ Equ. 1

⇒ Pat's ride costs $30.35 . but the actual cost after deducting the fixed charge is 30.35-2.55 = $27.80, took 20 minutes & The distance travelled was 18 km. Thus, the equation for the journey is 20x+18y=27.80 ⇒ Equ. 2

Now, on Solving Equation 1 & 2, We get

x=0.4(Cost of per minute charge) & y=1.1(Cost Of Per Kilometre charge)

Now, Roy's ride took 10 minutes & The distance travelled was 15 km . Thus, the cost of Roy's Ride is 10x+15y ⇔ 10×0.4 + 15×1.1 ⇔ $20.5

Hence, the total cost of Roy's ride is 20.5 + 2.55(fixed cost) = $23.05

8 0
3 years ago
Given the two similar triangles below. What is the measure of x?
MaRussiya [10]

Answer:

x=2.4

Step-by-step explanation:

as the 2 triangles are similar,

\frac{6}{x}  =  \frac{5}{2}

therefore ;

x =  \frac{6 \times 2}{5}

x = 2.4

3 0
3 years ago
Read 2 more answers
What is the length of the hypotenuse? Answer : 17
leonid [27]

Answer:

Below.

Step-by-step explanation:

Finding the hypotenuse:

Recall the formula of Pythagoras'theorem,

  • (Hypotenuse)² = (Base)² + (Perpendicular)²

Given that base = 8 and perpendicular = 15

Plugging the values,we obtain

  • H² = 8² + (15)²
  • H² = 64 + 225
  • H² = 289
  • H = √(17*17)
  • H = 17

Now applying trigonometric functions:

Recall SOHCAHTOA , it's very helpful.

Sin θ = Sin A = Opposite/Hypotenuse

  • Sin A = 15/17 ≈ 0.88

cos θ = cos A = Adjacent/Hypotenuse

  • cos A = 8/17 ≈ 0.47

Tan θ = tan A = Opposite/Adjacent

  • tan A = 15/8 ≈ 1.88

Note: The values in decimal are rounded to nearest hundredth.

3 0
2 years ago
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