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Leto [7]
2 years ago
7

Share 54 pounds in the ratio 5:4

Mathematics
1 answer:
ira [324]2 years ago
7 0
In this item, we are asked to split the numerical value which is 54 pounds such that the ratio of the numbers will be 5:4. 
To answer, let 5x be the first number and 4x be the second number. With the given scenario, the equation that would best represent the given will be,                     
  54 = 5x + 4x
The value of x is 6 giving us the values of 5x and 4x as 30 and 24, respectively. 

Hence, the split will be 30 and 24. 
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Type the correct answer in each box. If necessary, round your answers to the nearest hundredth.
disa [49]

Answer:

Perimeter = 32.44 units

Area = 30 square units

Step-by-step explanation:

Given

Vertices

A(2,8), B(16,2) and C(6,2)

WE have to determine the lengths of all sides before finding the perimeter and area.

The formula of modulus is:

d = \sqrt{(x_{2}- x_{1})^{2} +(y_{2}-y_{1})^{2}}\\AB=\sqrt{(16-2)^{2} +(2-8)^{2}}\\=\sqrt{(14)^{2} +(-6)^{2}}\\=\sqrt{196+36}\\ =\sqrt{232}\\=15.23\\\\BC=\sqrt{(6-16)^{2} +(2-2)^{2}}\\=\sqrt{(-10)^{2} +(0)^{2}}\\=\sqrt{100+0}\\ =\sqrt{100}\\=10\\\\AC=\sqrt{(6-2)^{2} +(2-8)^{2}}\\=\sqrt{(4)^{2} +(-6)^{2}}\\=\sqrt{16+36}\\ =\sqrt{52}\\=7.21\\\\

So the perimeter is:

Perimeter=AB+BC+AC\\=15.23+10+7.21\\=32.44\ units

Using hero's formula,

s=\frac{perimeter}{2}\\s=\frac{32.44}{2}\\ s=16.22\\Area=\sqrt{s(s-a)(s-b)(s-c)}\\=\sqrt{16.22(16.22-15.23)(16.22-10)(16.22-7.21)}\\=\sqrt{(16.22)(0.99)(6.22)(9.01)}\\=\sqrt{899.91}\\=29.99\ square\ units

Rounding off will give us 30 square units ..

4 0
3 years ago
Identify the terms, like terms, coefficients, and constants in each expression. –5x + 4 – x –1
-Dominant- [34]
-6x+3 u have to add same integers and subtract different integers
6 0
3 years ago
Solve for "n"! <br> 3(n+4)=-6+15n<br> help ASAP<br> RANDOM ANSWERS WILL BE MODERATED!
amm1812
We are told to solve for n given the equation 3(n + 4) = -6 + 15n. We can solve for n by first using the distributive property, which gives us 3n + 12 = -6 + 15n. Now, subtract 15n from both sides, giving us -12n + 12 = -6. Next, subtract 12 from both sides to get -12n = -18. Now, divide both sides by -12 to get n = 18/12, or 3/2 when simplified. Therefore, the value of n in the equation 3(n + 4) = -6 + 15n is 3/2. Hope this helped!
4 0
3 years ago
Helppppp please will give brainliest​
saveliy_v [14]

Answer:

the value of y is 3 more than twice x

Step-by-step explanation:

we find the slope is 2 because 4/2=2

y=2x+b

we put in the first point (1,5)

5=2+b

b=3

y=2x+3

7 0
3 years ago
Read 2 more answers
Solve the problem:<br><br> x + 4 = 10
castortr0y [4]
10 - 4 = x
10 - 4 = 6
x equals 6
3 0
3 years ago
Read 2 more answers
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