Remove all the brackets
3(7 + 2x) + 3 = 3(5 + x) − 9(x + 1)
21 + 6x + 3 = 15 + 3x - 9x - 9 Collect like terms.
24 + 6x = 6 - 6x Add 6x to both sides.
24 + 6x + 6x = 6 Subtract 24 from both sides
12x = 6 - 24
12x = - 18 Divide by 12
x = - 18 /12
x = - 1.5
Check
3(7 + 2*(-1.5)) + 3 = ? 3(5 + -(1.5) - 9(-1.5 + 1)
3(7 - 3) + 3 =? 3(3.5) - 9*(-1/2)
3*4 + 3 =? 10.5 + 4.5
12 + 3 =? 15 And it checks.
Answer:
The probability that the sample proportion will be greater than 13% is 0.99693.
Step-by-step explanation:
We are given that a large shipment of laser printers contained 18% defectives. A sample of size 340 is selected.
Let 
= <u><em>the sample proportion of defectives</em></u>.
The z-score probability distribution for the sample proportion is given by;
Z = 
~ N(0,1)
where, p = population proportion of defective laser printers = 18%
n = sample size = 340
Now, the probability that the sample proportion will be greater than 13% is given by = P( > 0.13)
P( > 0.13) = P( > 
) = P(Z > -2.74) = P(Z < 2.74)
= <u>0.99693</u>
The above probability is calculated by looking at the value of x = 2.74 in the table which has an area of 0.99693.
2500 kg x 4 weeks =10000kg
<span>1 ton = 907.2 kg
??=10000kg
1 x 10000 divided by 907.2
answer=11 tones </span>
9514 1404 393
Answer:
BD = 14
Step-by-step explanation:
The Pythagorean theorem can be used to find the lengths of CD and BC.
CD² +12² = 13²
CD = √(169 -144) = √25 = 5
__
BC² +12² = 15²
BC = √(225 -144) = √81 = 9
__
The length BD is then ...
BD = BC +CD
BD = 9 + 5 = 14
The length of side BD is 14 units.
Answer: $5.5
Step-by-step explanation:
Here is the complete question:
L.B. Johnson Middle School held a track and field event during the school year. The chess club sold various drink and snack items for the participants and the audience. Altogether, they sold 486 items that totaled $2,673 a. If the chess club sold each item for the same price, calculate the price of each item. b. Explain the value of each digit in your answer to a using place value terms
Item sold = 486
Total amount = $2673
Price of each item = Total amount/items sold
= 2673/486
= $5.5
Each item costs $5.5.
5.5 = 5 units and 5 tenths.
The first number after the decimal point by the right is the tenths.
