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defon
3 years ago
9

Solve the inequality X+ 7 < 4x+ 25 The solution is x​

Mathematics
1 answer:
Mazyrski [523]3 years ago
8 0

Answer:

x > -6

Step-by-step explanation:

Solve the following inequality:

x + 7 < 4x + 25

-Take 4x and subtract it from x :

x - 4x  + 7 < 4x - 4x + 25

-3x + 7 < 25

-Subtract 7 on both sides:

-3x + 7 - 7< 25 - 7

-3x < 18

-When you are dividing an integer by a negative integer, then the inequality sign changes. So, Take -3x and divide it on both sides:

\frac{-3x}{-3} < \frac{18}{-3}

x > -6

Therefore, the answer is x > -6.

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Approximate the square root of √31 .Round to two decimal places​
ella [17]

Answer: 5.57

Step-by-step explanation:

The square root of 31 is 5.56776436 and if you round that 2 decimals places you get 5.57 bc anything higher than 5 gets rounded up to the next number.

3 0
3 years ago
Henry is mixing concrete. To make concrete he needs to mix cement, sand and gravel in the ratio 1 : 4 : 7 by weight. Henry needs
jolli1 [7]

Answer:

Henry is short of gravel

Step-by-step explanation:

Here, we are to identify which of the ingredients Henry is short of.

To identify this ingredient, what is needed to be done is to share the 180kg of concrete appropriately to get which of the material does not meet its ratio and thus allowing us know which is insufficient.

The total ratio is 1 + 4 + 7 = 12

For cement, we have ;

1/12 * 180 = 15 kg

For sand, we have

4/12 * 180 = 60kg

For gravel, we have

7/12 * 180 = 105 kg

From the values in the question, we can see that all the values we have are greater what is shared in the ratio except in the case of gravel. So we can confidently say he is short of gravel

8 0
3 years ago
HURRY PLZ!!!
nasty-shy [4]

Answer:

D) no solution

Step-by-step explanation:

1/ (x-2) + 1/(x+2) = 4/(x^2-4)

x cannot equal 2 or -2 since that would make our fractions equal 1/0 or be undefined

Factor the term on the right

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

Multiply both sides by (x-2) (x+2)

(x-2) (x+2) (1/ (x-2) + 1/(x+2)) = 4/(x-2)(x+2)*(x-2) (x+2)

Distribute

x+2 + (x-2) = 4

Combine like terms

2x = 4

Divide by 2

2x/2 = 4/2

x =2

But this is not a possible solution since that is not in the domain

6 0
3 years ago
Lisa buys package of 3,000 paper clips.
den301095 [7]

Answer:

300 paper clips in one box

300 multiply to 10 box =3,000 paper clips

6 0
3 years ago
ALGEBRA
icang [17]

Answer:

y - 1 = 1/6 (x + 6)

Step-by-step explanation:

The formula would be y - y1 = m (x - x1). So fill in the blanks with the slope and coordinates, because the x value is a negative the minus sign becomes a plus.

8 0
3 years ago
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