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2 years ago

Write the difference of 48-(-14) as a sum. Then simplify

Mathematics

1 answer:

Zepler [3.9K]2 years ago

7 0

Two negatives = one positive

So:

- (-14) = + 14

Add:
48 + 14 = 62

62 is your answer

hope this helps

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Nikki and Jonathan both solve this system of equations: y=−2.7x+3.2 y = - 2 . 7 x + 3 . 2 y=1.3x+1.6 y = 1 . 3 x + 1 . 6 Jonatha

N76 [4]

We have two equations that were solved by Nikki and Jonathon:

y=−2.7x+3.2
y=1.3x+1.6

Equating the above two:

⇒ 1.3x + 1.6 = -2.7x + 3.2

⇒ 4x = 1.6

⇒ x = 0.4

Hence, substituting the value of x in one of the equations we get:

y = 1.3×0.4 + 1.6 = 2.12

So the solution is (0.4, 2.12)

Jonathon's solution was (0.4, 2.12) and Nikki's was (2.25, 0.5). Hence Jonathon gave the correct solution.

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2 years ago

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Jenna's heart rate is 60 beats per minute. If Jenna's heart beat 747,533 times, how much time has elapsed? Give your answer in d

olganol [36]

Answer:

Days- 9

Hours- 208

Minutes- 12,459

Step-by-step explanation:

For minutes,

747,533 ÷ 60 = 12,458.883 ≈ 12,459 minutes

For hours,

60 minutes to pass an hour so, 60 × 60 = 3600 minutes

747,533 ÷ 3600 = 207.648 ≈ 208 hours

For days,

1 day = 24 hours

1 hour = 3600 beats

24 × 3600 = 86400

747,533 ÷ 86400 = 8.652 ≈ 9 days

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2 years ago

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Sitting on a park bench, you see a swing that is 100 feet away and a slide that is 80 feet away. The angle between them is 30 de

leva [86]

We are given : Distance of the swing = 100 feet.

Distance of slide = 80 feet.

Angle between swing and slide = 30 degrees.

We need to find the distance between the swing and the slide.

Distance of swing, distance of slide and distance between the swing and the slide form a triangle.

We can apply cosine law to find the distance between the swing and the slide.

c^2 = a^2 +b^2 - 2ab cos C

c^2 = 100^2 +80^2 - 2(100)(80) cos 30°

c^2 = 10000 + 6400 -2* 8000 $(\frac{\sqrt{3}} 2)}$

c^2 = 16400 - 8000 $\sqrt{3}$

c^2 = 16400 - 13856

c^2 = 2544

$c =\sqrt{2544}$

c= 50.44

c = 50 feet approximately.

<h3>Therefore, the approximate distance between the swing and the slide is 50 feet.</h3>

5 0

2 years ago

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The two circles shown above have radii of 8 in. and 4 in. What is the Circumference of the both?

Dmitry [639]

Circumference of Circle 1 is 50.24 inches and Circumference of Circle 2 is 25.12 inches

Step-by-step explanation:

Radius of circle 1 = 8 inches

Radius of circle 2 = 4 inches

We need to find circumference of both circles.

The formula used to find the value of circumference is:

$Circumference=2\pi r$

Finding Circumference of Circle 1:

Radius = 8 inches

π = 3.14

Putting values and finding circumference

$Circumference=2\pi r$

$Circumference=2*3.14*8$

$Circumference=50.24\,\,inches$

Finding Circumference of Circle 2:

Radius = 4 inches

π = 3.14

Putting values and finding circumference

$Circumference=2\pi r$

$Circumference=2*3.14*4$

$Circumference=25.12\,\,inches$

So, Circumference of Circle 1 is 50.24 inches and Circumference of Circle 2 is 25.12 inches

Keywords: Circumference of Circle

Learn more about Circumference of Circle at:

#learnwithBrainly

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2 years ago

Nikita ran a 5-kilometer race in 39 minutes (0.65 of an hour) without training beforehand. In the first part of the race, her av

Sergeeva-Olga [200]

First part of the race

speed1, s1 = 8.75 km/h
distance1 = 5 km - x
time 1 = 0.65 h - t

Second part of the race

speed2, s2 = 6 km/h
distance2 = x
time2 = t

s2 = x/t = 6 ⇒ t = x / 6

s1 = [5 - x] / [0.65 - t] = 8.75

5 - x = 8.75 [0.65 - t]

5 -x = 8.75(0.65) - 8.75t

5 - x = 5.6875 - 8.75 (x/6)

5 - x = 5.6875 - 1.4583x

1.4583 x - x = 5.6875 - 5

0.4583 x = 0.6875

x = 0.6875 / 0.4583 = 1.5

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2 years ago

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