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tekilochka [14]

3 years ago

5

15. What is the solution to 3x - 52 28?

1 answer:

Pani-rosa [81]3 years ago

4 0

Answer:

x> 30

Step-by-step explanation:

+ First, is the inequation 3x - 52 > 28.

+ If Yes, so we can solve:

3x - 52 > 28

3x - 52 + 52 > 28 +52

3x > 90

3x/3 > 90/3 (divide both sides by 3>0)

x > 30

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The area of the conference table in Mr. Nathan’s office must be no more than 175 ft2. If the length of the table is 18 ft more t

valentina_108 [34]

The answer is  0 < x <span>≤ 7
</span>
First, we know that width = x
Which means that length = x +18

So, the possible equation for the Table's area is

X (X + 18)  ≤ 175

X^2 + 18x - 175  <span>≤ </span>0

Next, we need to calculate is by using complete square method
x^2 + 18x + 81 <span>≤ 175 + 81

(x + 9)^2 </span><span>≤ 256

|x + 9| </span><span>≤ sqrt(256)

|x + 9| </span><span>≤ +-16

-16 </span>≤ x + 9 <span>≤ 16

</span>-16 - 9 ≤ x <span>≤ 16 - 9

</span>-25 ≤ x <span>≤ 7

Since the width couldn't be negative, we can change -25 with 0,

so it become
</span> 0 < x ≤ 7

7 0

3 years ago

Each bucket holds 325 gallons of water. If it takes 6 buckets to fill a tank, how much water does the tank hold?

Gemiola [76]

Answer:

1950

Step-by-step explanation:

if we do 325 gallons of water times 6 buckets of water we get 1,950 gallons of water in a fraction 325/1950

hope this helps

8 0

2 years ago

Find the greatest common factor of 10, 30,10,30,10, comma, 30, comma and 454545.

borishaifa [10]

Answer:

GCF = 5

Step-by-step explanation:

Given:

The numbers are given as:

10, 30 and 45

A factor of a number is a number by which the given number is evenly divisible.

Example: 2 is a factor of 4 as $4\div 2 =2$ . So, 4 is evenly divisible by 2 and hence 2 is a factor of 4.

Now, factors of 10 = 1, 2, <u>5</u>, 10.

Factors of 30 = 1, 2, 3, <u>5</u>, 6, 10, 15, 30.

Factors of 45 = 1, 3, <u>5</u>, 9, 15, 45.

So, the greatest common factor in all the three numbers is 5.

Hence, the greatest common factor of 10, 30 and 45 is 5.

5 0

3 years ago

Two communication mask 2km apart and directly north and south of each other. Ubi 's home is 500 m from one and directly east. Ho

pochemuha

Answer: $2061.55\ m$

Step-by-step explanation:

Given

The two communication mask are 2 km apart

Ubi's home is 500 m east of one of the mask

Suppose its distance from the other's is x

From the figure, we can write

$\Rightarrow x^2=2000^2+500^2\\\Rightarrow x^2=4\times 10^6+25\times 10^4\\\Rightarrow x=2061.55\ m\ \text{or}\ 2.061\ km$

7 0

2 years ago

Please answer this if you can thank you :))

krek1111 [17]

<u>Answer:</u>

The variable that has the highest power is considered to be the degree of polynomials in an algebraic equation.

A column:

1) $4x^3$ .

The degree is 3.

2) $x^2+4$ .

The degree is 2.

3) $x-2$

The degree is 1.

B column:

1) $2x^2+1$

The degree is 2.

2) $x^2-x$

The degree is 2.

3) $x^3-5x^2+1$

The degree is 3.

A×B columns:

While Multiplying two terms in a equation, if the variables are same then multiply the constant value and sum the exponent value.

1) $(4x^3)(2x^2+1)$ .

= $8x^5+4x^3.$

The degree is 5.

2) $(x^2+4)(x^2-x)$ .

= $x^4-x^3+4x^2-4x$ .

The degree is 4.

3) $(x-2)(x^3-5x^2+1)$ .

$=x^4-5x^3+x-2x^3+15x^2-3.\\=x^4-7x^3+15x^2+x-3.$

The degree is 4.

3 0

3 years ago