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Artemon [7]
3 years ago
14

4 less than half a number is 21

Mathematics
2 answers:
svlad2 [7]3 years ago
7 0
I think the number is 50
Musya8 [376]3 years ago
6 0

Answer: X=50

Step-by-step explanation:

Data: 4 less than half of a number(x) is 21

Step one, make an equation

(x/2)-4=21

The reason for this is that since we know that 21 is 4 less than half the number(x) we can assume that dividing x by 2 will get half of it and by subtracting 4, we can get 21 which why it equals 21. By having it in an equation, it makes it easier to solve.

Step two, Start isolating x by adding 4 on both sides

(x/2)-4+4=21+4=(x/2)=25

The reason for this is that we have to find what x is which is done by isolating it. So if you add 4, you get rid of the -4 which helps isolate x and what you do to one side, you do to the other so you add 4 to 21 as well

Step three, multiply by 2 on both sides

(x/2)x2=25x2=X=50

The reason for this is that /2 is next to x so to isolate you have to get rid of it by multiplying by 2 and since what you do to one side you do to the other, you multiply 25 by 2 to get 50.

Answer: X=50

I hope this helps!

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1-69.
timofeeve [1]

The question above was not written properly

Complete Question

Lacey and Haley are rewriting expressions in an equivalent, simpler form.

a. Haley simplified x³⋅ x² and got

x⁵

Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?

b. Haley simplifies 3⁵⋅ 4⁵ and gets the result 12^10, but Lacey is not sure.

Is Haley correct? Be sure to justify your answer.

Answer:

a) Haley is correct, Lacey simplified wrongly.

b) Haley is incorrect

Step-by-step explanation:

a. Haley simplified x³⋅ x² and got

x⁵

Lacey simplified x³ + x² and got the same result! However, their teacher told them that only one simplification is correct. Who simplified correctly and how do you know?

For Question a, when it comes to simplifying algebraic expression that has to do with powers, there are certain rules that should be followed.

For example

x^a × x^b = x^(a + b)

For Haley, she simplified x³⋅ x² and got

x⁵

She is correct because this follows the product rule of powers or exponents above

= x³⋅ x² = x³+² = x⁵

For Lacey she is wrong because:

x³ + x² ≠ x⁵

x³ + x² when simplified as quadratic equation = x²(x + 1)

b. Haley simplifies 3⁵⋅ 4⁵ and gets the result 12^10, but Lacey is not sure.

Is Haley correct? Be sure to justify your answer.

For question b, when we have two distinct or different numbers with the same power(exponents) the rule states that:

x^a × y^a = (x × y)^a = (xy)^a

Haley is simplified wrongly. She did not apply the rule above

Haley simplified 3⁵⋅ 4⁵ = (3 × 4) ⁵+⁵

= 12^10, this is wrong.

The correct answer according to the rule =

3⁵⋅ 4⁵ = (3 × 4) ⁵ = 12⁵

Therefore,

3⁵⋅ 4⁵ ≠ 12^10

3⁵⋅ 4⁵ = 12⁵

Haley is wrong.

3 0
3 years ago
Plz help it’s very confusing
zepelin [54]
So the total is 120. You want 1/6 of those. 
So do (1/6)*120
You get 20.

YAY
6 0
3 years ago
Your test scores for the semester are 87,84 and 85.Can you raise your test average to 90 with you next test?
Rainbow [258]

Answer:

Yes

Step-by-step explanation:

If you add 87.84, 85, and 100 you get 272.84. Once you divide that by 3 you get 90.946, which would be your test average if you score 100 on your next test.

6 0
3 years ago
9. How many planes are shown in the figure?
Paraphin [41]
<h3>9)</h3><h3>5 planes</h3>

<h3>10)</h3><h3>2 planes</h3>

<h3>11)</h3><h3>BCED</h3>

<h3>12)</h3><h3>Yes , they belong to plane (w)</h3>
3 0
2 years ago
Practice Skills_ Simplifying Inequality1. 3( 1/2 - y) = 3/5 + 15y. What isthe solution to the given inequality?
Angelina_Jolie [31]

3( 1/2 - y) = 3/5 + 15y

Applying distributive property:

3*1/2 - 3y = 3/5 + 15y

3/2 - 3y = 3/5 + 15y

3/5 is adding on the right, then it will subtract on the left

3y is adding on the left, then it will subtract on the right

3/2 - 3/5 = 15y + 3y

15/10 - 6/10 = 18y

9/10 = 18y

18 is multiplying on the right, then it will divide on the left

9/10*1/18 = y

1/10*1/2 = y

1/20 = y

6 0
1 year ago
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