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NikAS [45]
2 years ago
11

((6x-8)-2x)-((12x-7)-(4x-5))

Mathematics
1 answer:
KengaRu [80]2 years ago
6 0

Answer:

-12x + 4

Step-by-step explanation:

(6x - 8 - 2x) - (12x - 7) - (4x - 5)

The subtraction sign before the parenthesis is basically multiplying by -1, so the subtraction signs in the parenthesis have to change to addition. After that, you can remove the parenthesis.

6x - 8 - 2x - 12x + 7 - 4x + 5

Simplified = -12x + 4

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Opal wanted to make some necklaces and sell them at a craft store. She made 37 necklaces and each necklace had somewhere between
alexandr402 [8]
<h3>The total number of beads used in making 37 necklaces is between 2,664 beads and 2,849 beads.</h3>

Step-by-step explanation:

Here, as given: The number of necklace made by Opal  = 37

The least number of bead used in each necklace  = 72

So, if each necklace is made using the least number of beads then,

The total number of beads  used in 37 necklace =  37 x ( beads in 1 necklace)

= 37 x  72  = 2,664 beads

So, the least number of total beads used in 37 necklaces  = 2,664 beads

The highest number of bead used in each necklace  = 77

So, if each necklace is made using the highest number of beads then,

The total number of beads  used in 37 necklace =  37 x ( beads in 1 necklace)

= 37 x  77  = 2,849 beads

So, if highest number of total beads used in 37 necklaces  = 2,849 beads

Hence, the total number of beads used in making 37 necklaces is between 2,664 beads and 2,849 beads.

5 0
3 years ago
From a pack of 9 cards numbered 1-9, three cards are drawn at random and laid on a table from left to right.
Andreas93 [3]
Answer: 1/6
Explanation: Since we need to draw three cards from a pack of 9 and the digits require an order, then our sample space becomes: 9P3.
Now, we don't care about picking an order when picking three cards to analyse, as there is only 1 way in arranging the three cards in descending order.

Thus, we get:

\frac{^{9}C_3}{^{9}P_3} = \frac{1}{6}
4 0
4 years ago
The size of a TV is the diagonal measurement of its screen. Will a 46-inch TV fit in a rectangular cabinet measuring 32 inches l
maks197457 [2]

Answer:

sdrfffffffffsdffffffffffffffffsdffffffffffffffffffffffffffffdssss

Step-by-step explanation:

dfssssssssssssssssssssssssssssssssssssss

3 0
3 years ago
Solve the x <br> 1/3x + 5&gt; 10
kotykmax [81]

Answer:

The solution to the inequality is:

\frac{1}{3}x+5>10\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>15\:\\ \:\mathrm{Interval\:Notation:}&\:\left(15,\:\infty \:\right)\end{bmatrix}

The solution graph is also attached below.

Step-by-step explanation:

Given

We are given the expression

\frac{1}{3}x+5>10

To determine

Solve for x

Given the expression

\frac{1}{3}x+5>10

Subtract 5 from both sides

\frac{1}{3}x+5-5>10-5

Simplify

\frac{1}{3}x>5

Multiply both sides by 3

3\cdot \frac{1}{3}x>5\cdot \:3

Simplify

x>15

Thus, we conclude that:

x>15

Therefore, the solution to the inequality is:

\frac{1}{3}x+5>10\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>15\:\\ \:\mathrm{Interval\:Notation:}&\:\left(15,\:\infty \:\right)\end{bmatrix}

The solution graph is also attached below.

5 0
3 years ago
Assume that the weight of two year old babies have distribution that is approximately normal with a mean of 29 pounds and a stan
Lana71 [14]

Answer:

25.15 ponds is the weight of two year old baby corresponds to 10th percentile.      

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 29 pounds

Standard Deviation, σ = 3 pounds

We are given that the distribution of weight of two year old babies is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.10

P(X < x)  

P( X < x) = P( z < \displaystyle\frac{x - 29}{3})=0.10  

Calculation the value from standard normal z table, we have,  

P(z < -1.282) = 0.10

\displaystyle\dfrac{x - 29}{3} = -1.282\\x = 25.154 \approx 25.15

Thus, 25.15 ponds is the weight of two year old baby corresponds to 10th percentile.

5 0
3 years ago
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