MATHEMATICS HIGH SCHOOL

**PLEASE HELP MARKING BRAINLIEST**the length of a rectangle is 8cm more than four times the width. if the perimeter of the rectangle is 96cm, what are its dimensions?

Answers

Answer 1
Answer:

Answer:

its \: dimensions \: are \to \n\boxed{w = 17.6cm} \: \boxed{l = 78.4cm}

Step-by-step explanation:

if \to l = 4w + 8 \n but \n \: perimeter(p )= l + w = 96 \n 4w + 8 + w = 96 \n 5w + 8 = 96 \n 5w = 96 - 8 \n 5w = 88 \n w = (88)/(8) \n \boxed{w = 17.6cm} \boxed{l = 78.4cm}

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Please Help c:What are the solutions to the following system of equations?
y = x2 + 12x + 30
8x − y = 10

(−4, −2) and (2, 5)

(−2, −4) and (2, 5)

(−2, −4) and (5, 2)

No Real Solutions

Answers

2nd equation:
8 x-y=10  ⇒ y= 8 x-10
We will switch that in 1st equation:
8 x-10=x²+12 x+30, or:
x² + 4 x +40 = 0,   a=1,B=4, c=40
Discriminant : D= b² - 4 ac= 16 - 160 = -144  and because it is negative there are no real solutions.
Answer: D) 
Hello,

y=x²+12x+30
y=8x-10

==>x²+12x+30=8x-10
==>x²+4x+40=0
Δ=16-4*40<0 ==> no real solutions.

If -nx2 + tx + c = 0, what is x equal to?

Answers

f(x)=-nx^2+tx+c=0\n\n \Delta=t^2-4\cdot(-n)\cdot c=t^2+4cn\n\n 1.\n \Delta<0 \Rightarrow x\in\emptyset\n\n 2.\n \Delta=0\n x=(-t)/(2\cdot(-n))=(t)/(2n)\n\n 3.\n \Delta>0\n √(\Delta)=√(t^2+4cn)\n x_1=(-t-√(t^2+4cn))/(2\cdot(-n))=(t+√(t^2+4cn))/(2n)\n x_2=(-t+√(t^2+4cn))/(2\cdot(-n))=(t-√(t^2+4cn))/(2n)\n

Tom drives a truck. His regular trip is a distance of 280 km. He drives at an average speed of 80 km/h. For safety reasons Tom’s boss puts a speed limiter on his truck. This reduces Tom’s average speed by 10 km/h. How much longer will it take Tom to drive his regular trip?

Answers

280km at 80k/hr gives 3.5hrs.
280km at 10km/hr gives  28hrs.
therefore it will take him 28 - 3.5 = 24.5hrs longer.

Calculate one tenth of an income of $12,347 by dividing by 10. 12.35 123.47 1,234.70 123,470

Answers

Answer: 1,234.70

Step-by-step explanation:

The given amount of income = $12,347

To find :  One tenth of an income of $12,347  

To calculate one tenth of an income of $12,347, we need to divide $12,347 by 10 ,we get

12,347/10\n\n=(12,347 )/(10)\n\n=1,234.7

On dividing a number by ten , we put decimal just before the first digit from the right.

Hence, One tenth of an income of $12,347 = 1,234.70
1,234.70. Hope this helps

How do i solve divide 5/8 by 50%

Answers

50% is (50)/(100)
We have two ways to do this, pick your favor:
either by fractions:
(5)/(8) ÷ (1)/(2)
((50)/(100) = (1)/(2)
Multiply by the reciprocal of (1)/(2) which is 2(flip it)

(5)/(8) × 2 = (5)/(4) = 1.25

Or change them to decimals:
(5)/(8) = 0.625
(50)/(100) = 0.5

0.625 ÷ 0.5

0.5 I 0.625
multiply by 10 to make it easier to divide(it still gives us the same answer)
0.5 × 10 = 5
0.625 × 10 = 6.25
     1.25
5 I 6.25
    -5
     12
    -10
       25
      -25
         0

0.625 ÷ 0.5 = 1.25

While the earth's orbit (path) about the sun is slightly elliptical, itcan be approximated by a circle with a radius of 93,000,000 miles.
a) How far does the earth travel in one orbit about the
sun? That is, what is the approximate circumference of the earth's path?
b) Approximately how fast is the earth traveling in its orbit in space? Calculate
your answer in miles per hour.​

Answers

a. The circumference should be 186000000π mile

b. The speed of the earth should be 7750000π miles per hour.

Calculation of the circumference & speed of the earth:

Since the radius is 93000000 miles

a.

So, here the circumference is

= 2πr

= 2π(93000000) miles

= 186000000π miles

b) Now the speed is

speed = distance ÷ time

Here the time should be 24 hours

So,

Speed = 186000000π  ÷ 24

= 7750000π miles per hour

Learn more about speed here: brainly.com/question/24394014

The circumference= 186000000π miles and the speed or the earth is 7750000π miles per hour.

Step-by-step explanation:

Radius (r) = 93000000 miles

a) circumference= 2πr

= 2π(93000000) miles

= 186000000π miles

b) speed = distance / time

Here distance is the circumference and time is 24hrs because if the earth completes 1 revolution around the sun in 24hrs.

Speed = 186000000π/24

= 7750000π miles per hour
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