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Andrews [41]
2 years ago
8

Adding & subtracting decimals word problems

Mathematics
1 answer:
Gennadij [26K]2 years ago
4 0

Answer:

7.17 km

Step-by-step explanation:

please like my answer and brainliest me......huhu

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The height of a triangle is 2 less than 5 times it's base. If the base of the triangle is x feet, and the area of the triangle i
____ [38]

Answer:

Area A = 12 = 1/2 × x × (5x-2)

5x^2 - 2x -24 = 0

Solution;

Base x = 2.4

Height h = 10 ft

Step-by-step explanation:

Given;

base of the triangle is x feet;

Base = x

The height of a triangle is 2 less than 5 times it's base;

Height = 5x - 2

the area of the triangle is 12 square feet;

Area A = 12 ft^2

The area of a triangle is;

Area A = 1/2 × base × height

Substituting the base and height;;

Area A = 1/2 × x × (5x-2)

Area A = 1/2 × (5x^2 - 2x)

Area A = 12

12 = 1/2 × (5x^2 - 2x)

Multiply through by 2.

24 = (5x^2 - 2x)

5x^2 - 2x -24 = 0

Solving the simultaneous equation;

x = 2.4 or -2

Since the base cannot be negative;

x = 2.4 ft

Height h = 5x -2 = 5(2.4) - 2 = 12 - 2 = 10 ft

Base x = 2.4

Height h = 10 ft

6 0
3 years ago
What's the area of this? PLS HELP
balandron [24]

Answer:

446mm

Step-by-step explanation:

If we box off parts of the area, it makes it easier to solve. I personally broke it into tiny bits:

Upper left box: 16mm

Bigger box (excluding little box): 90mm

Big rectangle: 340mm

Now, add them all together.

Equals 446mm

3 0
2 years ago
Read 2 more answers
Sixty out of every 100 pieces of candy is red. Which Indicates the
JulsSmile [24]

Answer:

The proportion of red candies is 60/100.

Step-by-step explanation:

Given that sixty out of every 100 pieces of candy is red, to determine which indicates the proportion of red candies, the following calculation must be performed:

60 red candies out of 100 total candies

60/100

Therefore, the ratio of red candies is 60/100.

8 0
3 years ago
Simplify completely
Mandarinka [93]

Answer: x+2 / x+ 9, x = -2, x=-9   ( A )

Solution:

Breakdown the problem into two sets

Step 1:  simplify x^2 -10x - 24

Factorize the above equation,

Multiply the last term (24) with the first term coefficient i.e. 1

Step 2: Then, find the factors of 24 in a way that when you add or subtract it sums up to 10

x2 - 12x + 2x - 24  >>>>  (x2-12x) + (2x-24) >>> take common

>>>> x(x-12) + 2( x-12)

Step 3:   (x + 2)  (x - 12)

Step 4: Step 1:  simplify x^2 - 3x - 108 using the same steps

x2 - 12x + 9x - 108 >>>>  take common x(x-12) + 9 ( x -12) >>>

(x + 9)  (x - 12) final product

Now, Simplify the equation as a whole

 (x + 2)  (x - 12) /  (x + 9)  (x - 12)                         Note:  (x - 12) cancels out  

=  (x + 2) /  (x + 9)     with x= -2 and x= -9

6 0
3 years ago
Solve for y in terms of x<br> 3(x – 7) + 7y = 10x
MAXImum [283]

Answer:

solve for y is y = x + 3

Solve for x is x = − 3 + y

Step-by-step explanation:

4 0
2 years ago
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