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zepelin [54]
3 years ago
11

Estimate the quotient of 72.1÷7

Mathematics
2 answers:
Valentin [98]3 years ago
8 0
72.1 is very close to 70, so you can round 72.1 to 70 when you estimate your answer. 70/7=10

Your answer is around 10
Vilka [71]3 years ago
5 0
The answer is 10.3. Please give me Brainliest 
You might be interested in
the height of a triangle is 4 meters less than the base. if the area of the triangle is 6 m^2 what is the height of the triangle
inna [77]

Answer:

2m

Step-by-step explanation:

Alrighty let's do this.

We know that formula for the Area of a triangle is:

A = \frac{1}{2}bh

They give us the area as 6m^2, so let's include it in the equation.

6 = \frac{1}{2}bh

Now we reach a stage where we have 2 unknown variables! That means we can't solve it in its current state. So the idea you should have in cases like these where you have 2 or more unknown variables is, "Can I represent this one variable in terms of another variable?" In this case you can do exactly that. You can represent height in terms of length of the base. We are told the height of the triangle is 4 meters less than the base. That is telling us that h = b-4

So replace h in the equation with b-4.

You will now get:

6 = \frac{1}{2}b(b-4)

Now we can work towards solving. Let's get simplifying.

12 = b(b-4)\\12 = b^2 - 4b\\

bring everything to one side so we can make a quadratic and factor:

0 = b^2 - 4b - 12\\0 = (b-6)(b+2)\\\\b = 6\\b\neq -2

We get that b=6.

Since we need the height of the triangle we'll need to call back on what h is. We found earlier that h = b - 4, so to find h, we just sub in our b value into that.

h = (6) - 4 = 2

We find that h=2

7 0
2 years ago
Solve the equation by factoring 2x^2+7x=4
Softa [21]

Answer:

x = - 4 , x = \frac{1}{2}

Step-by-step explanation:

given 2x² + 7x = 4

rearrange into standard form : ax² + bx + c = 0 : a ≠ 0

subtract 4 from both sides

2x² + 7x - 4 = 0 ← in standard form

Consider the product of the factors of the coefficient of the x² term and the constant term which sum to give the coefficient of the x term, that is

product = 2 × - 4 = - 8 and sum = + 7

The factors are + 8 and - 1

use these factors to split the middle term

2x² + 8x - x - 4 = 0 ( factor by grouping first/second and third/fourth terms )

2x(x + 4) - 1(x + 4) = 0 ( take out the common factor (x + 4) )

(x + 4)(2x - 1) = 0

equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = \frac{1}{2}


6 0
3 years ago
Read 2 more answers
The graph of a system of equations with different slopes will have no solutions. (1 point) Always Sometimes Never
spin [16.1K]

Answer: Never

just did the test



7 0
3 years ago
Read 2 more answers
Which equation could be used to
Vika [28.1K]
D sounds like the best answer math can be hard tho
3 0
3 years ago
Solve for x<br> 402)2x - 3 = 60<br> Round to 3 places
TEA [102]
2x - 3 = 60

(Add 3 to both sides)

2x - 3 + 3 = 60 + 3

2x = 63

(Divide by 2)

2x / 2 = 63 / 2

x = 31.5
7 0
3 years ago
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