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andre [41]
3 years ago
15

Apples are on sale for $3.12 per kilogram

Mathematics
1 answer:
ElenaW [278]3 years ago
4 0

Yes, it is, because if the weight is 2 kilograms, it would be 3.12 x 2 = 6.24, which is proportional to 1/3.12

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Value of P: 3/15(p+10)=-15
ArbitrLikvidat [17]
<span>Step  1  :</span> 1 Simplify — 5 <span>Equation at the end of step  1  :</span> 1 (— • (p + 10)) - -15 = 0 5 <span>Step  2  :</span><span>Equation at the end of step  2  :</span> (p + 10) ———————— - -15 = 0 5 <span>Step  3  :</span>Rewriting the whole as an Equivalent Fraction :

<span> 3.1 </span>  Subtracting a whole from a fraction 

Rewrite the whole as a fraction using <span> 5 </span> as the denominator :

-15 -15 • 5 -15 = ——— = ——————— 1 5

<span>Equivalent fraction : </span>The fraction thus generated looks different but has the same value as the whole 

<span>Common denominator : </span>The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

<span> 3.2 </span>      Adding up the two equivalent fractions 
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(p+10) - (-15 • 5) p + 85 —————————————————— = —————— 5 5 <span>Equation at the end of step  3  :</span> p + 85 —————— = 0 5 <span>Step  4  :</span>When a fraction equals zero :<span><span> 4.1 </span>   When a fraction equals zero ...</span>

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the <span>denominator, </span>Tiger multiplys both sides of the equation by the denominator.

Here's how:

p+85 ———— • 5 = 0 • 5 5

Now, on the left hand side, the <span> 5 </span> cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
   p+85  = 0

Solving a Single Variable Equation :

<span> 4.2 </span>     Solve  :    p+85 = 0<span> 

 </span>Subtract  85  from both sides of the equation :<span> 
 </span>                     p = -85 

One solution was found :                  <span> p = -85</span>
7 0
3 years ago
Is 28 a solution to the inequality you wrote in exercise 4? How do you know? Exercise 4
loris [4]
Hello there,

If you are putting 28 on the less than side it is.
Correct 
30>28

Incorrect
28>30

Hope this helped!
4 0
2 years ago
Read 2 more answers
use any strategy to solve the following problems 1) for haloween ned received 48 pieces of candy .if he put them into piles with
Veronika [31]

Answer:

He could make 16 piles.

Step-by-step explanation:

Divide 48 by 3: 48 ÷ 3 = 16

6 0
2 years ago
Find the value of k for which the line y = kx + 6 is a tangent to the curve x^2 + y^2 – 10x + 8y = 84
guajiro [1.7K]

Answer:

k = 1/2

Step-by-step explanation:

input y = kx +6 into the equation of the curve x² + y² – 10x + 8y = 84

x² + (kx + 6)² - 10x + 8(kx + 6) = 84

expand:

x² + k²x² + 12kx + 36 - 10x + 8kx + 48 = 84

simplify by collecting like terms:

x² + k²x² + 20kx - 10x + 84 = 84

subtract 84 on both sides to bring it to the left:

x² + k²x² + 20kx - 10x + 84 - 84 = 0

x² + k²x² + 20kx - 10x = 0

factorise out x:

x²(1 + k²) + x(20k - 10) = 0

using the discriminant b² - 4ac where b is 20k - 10, a is 1 + k² and c is 0, substitute them in the formula b² - 4ac:

b² - 4ac

(20k - 10)² - 4(1 + k²)(0) = 0

the part highlighted in bold is gone because it's all multiplied by 0, so we are left with (20k - 10)² = 0

(20k - 10)² is the same as

(20k - 10)(20k - 10)

equate both to 0

20k - 10 = 0 and 20k - 10 = 0

add 10 on both sides

20k = 10 and 20k = 10

divide 20 on both sides

k = 10/20 and k = 10/20 which are both the same

10/20 is simplified to 1/2

k = 1/2

5 0
2 years ago
Delilah and Amara are both saving money for their vacation. Delilah plans to deposit $17.60
Rainbow [258]

Answer:

your mom

Step-by-step explanation:

haha

5 0
2 years ago
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