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3 years ago

The low temperature in Anchorage, Alaska today was -4°F. The low

Mathematics

1 answer:

aliina [53]3 years ago

4 0

Answer:

Step-by-step explanation:

63 - (-4) = 63 + 4 = 67 <== a difference of 67

or think of it this way..

if its at 63, u subtract 63 just to get to 0....but then u have to subtract 4 more to get to -4......making a difference of 67

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Question 27 of 28 1 Point What is the slope of the line shown below? (3,-2) (2,-4)

Gwar [14]

Answer:

The slope is 2

Step-by-step explanation:

To find the slope given two points, we use the formula

m = (y2-y1)/(x2-x1)

= (-4--2)/(2-3)

= (-4+2)/(2-3)

= -2/-1

= 2

6 0

2 years ago

Pilar is playing with a motorized toy boat. She puts the boat in a lake and it travels 400m at a constant speed. On the way back

ankoles [38]

Answer:

The trip normally takes 8 minutes

Step-by-step explanation:

The given information states that the away distance the boat traveled = 400 m

The time traveled at the same initial speed , v₁, by the boat on the way back = 2 minutes

The increase in speed of the boat by Pilar = 10 m/min

The new speed, v₂ = v₁ + 10

The time for the return trip, t₂ = 60 seconds (1 minute) faster than time for the trip, t₁

t₂ = t₁ - 1

Therefore we have;

v₁ × t₁ = v₁×2 + v₂×(t₂-2) = 400

v₁×2 + (v₁ + 10)×(t₂-2) = 400

(v₁ + 10)×t₂ - 20 = 400

But v₁ = 400/t₁ = 400/(t₂ + 1)

Which gives;

(400/(t₂ + 1) + 10)×t₂ - 20 = 400

10×(t₂²+ 36·t₂-2)/(t₂+1) = 400

10·t₂²+ 10·t₂-420 = 0

t₂²+ t₂-42 = 0

(t₂ - 7)(t₂ + 6) = 0

t₂ = 7 minutes or -6 minutes

Given that t₂ is a natural number, we have, t₂ = 7 minutes

Whereby, t₂ = t₁ - 1, we have;

7 = t₁ - 1

t₁ = 1 + 7 = 8 Minutes

The trip normally takes 8 minutes

3 0

3 years ago

You purchase 26 parking hours that you can use the next month to park your food truck at the fair. Weekday hours park $2 per hou

ICE Princess25 [194]

Answer:

Number of week day hours purchased is 5

Step-by-step explanation:

Total number of Parking hours purchased = 26 parking hours

Parking cost on weekdays = $2 per hour

Parking costs on weekends = $10 per hour

Total amount spent on parking = $220.

To Find:

Number of week days purchased = ?

Solution:

Let

The number of week days purchased be x

The number of weekends purchased be y

We know that the total hours purchased is 26

So,

x+y = 26

y = 26-x------------------------------------------------------(1)

Now the total cost is 220

(Total number of weekdays X cost per weekday ) +(Total number of weekends + cost per weekend) =220

Substituting the values

=> $x\times 2 + y \times 10$ = 220

=> $x \times 2 + (26-x) \times 10 =220$

=>2x + 260 -10x =220

=>260 -8x = 220

=>260 -220 =8x

=>40 = 8x

=>x= $\frac{40}{8}$

x= 5-------------------------------------------(2)

Now substituting (2) in (1) we get

y= 26-5

y= 21

7 0

3 years ago

Find the 53rd term of the arithmetic sequence 27,11, -5

vivado [14]

Answer:

The 53rd term of this arithmetic sequence is -805.

Step-by-step explanation:

The general rule of an arithmetic sequence is the following:

$a_{n+1} = a_{n} + d$

In which d is the common diference between each term, that is, $d = a_{3} - a_{2} = a_{2} - a_{1}$ .

To find the nth term of the sequence, this equation can be written as:

$a_{n} = a_{1} + (n-1)d$

27,11, -5

So $a_{1} = 27, a_{2} - a_{1} = 11 - 27 = -16[/tex[tex]a_{n} = a_{1} + (n-1)d$

$a_{53} = a_{1} + (52)d = 27 + 52*(-16) = -805$

The 53rd term of this arithmetic sequence is -805.

3 0

2 years ago

Paula walked on the treadmill for 12 minutes. The machine told her she had a total of 780 strides. What was her rate in strides

Cerrena [4.2K]

Answer:780/12=65

Step-by-step explanation:

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3 years ago