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Lelechka [254]
3 years ago
12

Every day, Katie looks for seashells on the beach. She has 28 shells in her collection. Katie finds 12 more shells each day. Wri

te an inequality to determine the number of days, d, it will take Katie to collect over 100 shells.
Mathematics
2 answers:
aalyn [17]3 years ago
4 0
It will take her about 7 days, because :
12*7=84
84+28= 112
112= +100 
(Hope that helps)


andrew-mc [135]3 years ago
3 0
Inequality: 28 + 12d ≥ 100

Where, d = Number of Days.

Solving: Subtract 28 from both sides, 
12d ≥ 72

Divide both sides by 12, 
d ≥ 6

In short, Your Answer would be: At-least 6 days

Hope this helps!
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I have to put 20 characters so here we are. Pls help tho.
DENIUS [597]

ABC is an isosceles triangle so AB =  BC

Plug in

x + 4 = 3x - 8

-2x = - 12

x = 6

AC = x = 6

Answer

6 units

6 0
3 years ago
HELP ASAP: Factor By Grouping: 12a^3 - 9a^2 + 4a - 3
MAVERICK [17]

We have been given an expression 12a^3 - 9a^2 + 4a - 3. We are asked to factor the given expression by grouping.

First of all, we will make two groups of our expression as:

(12a^3-9a^2)+( 4a - 3)

Now we will factor of greatest common factor from each group.

(3a^2\cdot 4a-3a^2\cdot 3)+( 4a - 3)

3a^2(4a-3)+1( 4a-3)

Now we will factor out common terms (4a-3) as:

(4a-3)( 3a^2+1)

Therefore, the factorized form of our given expression would be (4a-3)( 3a^2+1).

7 0
3 years ago
Todd placed 32 square tiles along the edge of his wooden dining room table, as shown below. Note: Figure is not drawn to scale.
Flauer [41]

Answer:

The diagonal is 421.

Step-by-step explanation:

This is a difficult question. To find the diagonal, you need to find the base and the height of the square. After that, you need to make it a triangle, by using this equation; A=\frac{1}{2} BH (A being area, B being base, and H being height) then find the length of the hypotenuse of the triangle, which I will do for you.

32*13=416 The B and H = 416. Plug it into the equation now;

A=\frac{1}{2}(416*416)\\\\\\A=\frac{1}{2} 173,056\\\\\\A=86,528Now that you have done that, we know that the area of our new triangle is 86,528.

The diagonal is: 421

8 0
3 years ago
Read 2 more answers
I WILL MARK FIRST BRAINLIEST! I leave a thanks too! 0 = -2x^2 - 7x -1 Solve using quadratic formula PLEASEEEEEE I need the answe
slamgirl [31]

Here,

2x^2 + 7x + 1 = 0

given,

a = 2

b = 7

and c = 1

From formula,

x = (-b+-√b^2-4ac) / 2a.

We get,

x = -7/4 ± √(41)/4 Ans.

4 0
3 years ago
A company manufactures penny number 2 nails that are 1 inch in length. The actual length is allowed to vary by up to \displaysty
Diano4ka-milaya [45]

The absolute value equation representing the length of the nail is :

  • \frac{31}{32}  \leqslant x \leqslant 1 \frac{1}{32}

A nail of length 1.05 inches is unacceptable

Actual Length of nail = 1 inch

Allowable variation = 1/32 inches

The minimum allowable length :

actual length - allowable variation

  • 1 -  \frac{1}{32}  =  \frac{31}{32}

The maximum allowable length :

Actual length + allowable variation

  • 1 +  \frac{1}{32}  = 1 \frac{1}{32}

The length of X, of the nail must be follow the equation :

Minimum ≤ X ≤ maximum

\frac{31}{32}  \leqslant x \leqslant 1 \frac{1}{32}

A nail of length 1.05 inches

Maximum nail length = 1 1/32 = 1.031

1.05 > 1.031 ; hence, it is greater than the maximum allowable length and hence, Unacceptabe

Learn more : brainly.com/question/24656203

7 0
2 years ago
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