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[tex] \frac{x - 1}{2} - \frac{x - 2}{3} > \frac{x - 3}{4} \\ [/tex]
Multiply sides by 12
[tex]12 \times ( \frac{x - 1}{2} - \frac{x - 2}{3} ) > 12 \times ( \frac{x - 3}{4} ) \\ [/tex]
[tex](12 \times \frac{x - 1}{2} ) - (12 \times \frac{x - 2}{3} ) > 12 \times \frac{x - 3}{4} \\ [/tex]
[tex](6 \times \: (x - 1)) - (4 \times (x - 2)) > 3 \times (x - 3) \\ [/tex]
[tex]6x - 6 - (4x - 8) > 3x - 9[/tex]
[tex]6x - 6 - 4x + 8 > 3x - 9[/tex]
[tex]6x - 4x + 8 - 6 > 3x - 9[/tex]
Collect like terms
[tex](6 - 4)x + 2 > 3x - 9[/tex]
[tex]2x + 2 > 3x - 9[/tex]
[tex]3x - 9 < 2x + 2[/tex]
Add sides 9
[tex]3x - 9 + 9 > 2x + 2 + 9[/tex]
[tex]3x > 2x + 11[/tex]
Subtract sides 2x
[tex] - 2x + 3x > - 2x + 2x + 11[/tex]
[tex]x > 11[/tex]
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PLS PLS PLS HELP ME! I WILL GIVE BRAINILIEST!
Answer:
I'm going to answer in the comments so no one steals this answer
Step-by-step explanation:
What is the y-intercept?
y=-5x+3
Please I need help and I’m stumped here.
Answer:
Step-by-step explanation:
1) For complex numbers addition, add the real parts and imaginary party separately.
(2 +5i) - (-6 + 3i) = 2 + 5i + 6 - 3i
= 2+ 6 + 5i - 3i
= 8 + 2i
2)Use FOIL method
(-4 +2i)(3 - 7i) = -4*3 + (-4)*(-7i) + 2i* 3 + (2i)*(-7i)
= -12 + 28i + 6i -14i² {i² = -1}
= -12 + 28i + 6i - 14*(-1)
= -12 + 28i + 6i + 14 {Combine like terms}
= -12 + 14 + 28i + 6i
= - 2 + 34i
3)Hint:
[tex]a^{mn} = (a^m)^{n}\\\\a^{m}*a^{n}= a^{m+n}[/tex]
[tex]\sqrt[4]{144x^{12}y^{7}} =\sqrt[4]{2*2*2*2*3*3*x^{3*4}*y^{4+3}} \\\\=\sqrt[4]{2^{4}*9*(x^{3})^{4}*y^{4}*y^{3}}\\\\=2*x^{3}*y\sqrt[4]{9y^{3}}\\\\ =2x^{3}y\sqrt[4]{9y^{3}}[/tex]
4)
[tex]\sqrt[3]{\frac{320a^{10}}{27b^{6}}}= \sqrt[3]{\frac{8*8*5a^{3+3+3+1}}{3*3*3b^{3+3}}}\\\\=\sqrt[3]{\frac{2^{3}*2^{3}*5a^{3}*a^{3}*a^{3}*a}{3^{3}b^{3}*b^{3}}}\\\\=\frac{2*2*a*a*a}{3b*b}\sqrt[3]{\frac{5a}{1}}\\\\=\frac{4a^{2}}{3b^{2}}\sqrt[3]{5a}[/tex]
5) 4x² + 28x + 49 = 4x² + 14x +14x + 7*7
= 2x(2x + 7) + 7(2x + 7)
=(2x+ 7)(2x + 7)
6) 2x² + 3x - 20 = 2x² +8x - 5x - 5 *4
=2x(x + 4) - 5(x + 4)
= (x + 4)(2x - 5)
On Friday, a local hamburger shop sold a combined total of 390 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Friday?
Answer:
There were 130 hamburgers sold on Friday
Step-by-step explanation:
Assume that the number of hamburgers sold is x
∵ The number hamburgers sold = x
∵ The number of cheeseburgers sold was two times the number of
hamburgers sold
∴ The number of cheeseburgers sold = 2x
∵ On Friday, the shop sold a combined total of 390 hamburgers and
cheeseburgers
→ Add x and 2x, then equate the sum by 390
∴ x + 2x = 390
→ Add the like terms
∴ 3x = 390
→ Divide both sides by 3
∵ [tex]\frac{3x}{3}[/tex] = [tex]\frac{390}{3}[/tex]
∴ x = 130
∵ x represents the number of hamburgers
∴ There were 130 hamburgers sold on Friday
4. The owner of a music store received a shipment of
stereos at a cost of $160.00 each. What will the selling
price be if he applies a 45% markup?
Answer:
232.00 hahshdoejnchbw
A bowl contains an apple, a plum, a pear, and a banana. How many different pairs of fruit can be selected from the bowl
Based on the information given about the combination, the number of different parts of fruits that can be selected from the bowl will be 6.
Solving the combination.Since the bowl contains an apple, a plum, a pear, and a banana, the different pairs of fruit that can be selected from the bowl will be 4C2.
We can solve this further which will be:
= 4C2
= 4! /2! (4 - 2)!
= 4! / 2!2!
= (4 × 3 × 2)/ 2 × 2
= 24/4
= 6
Therefore, 6 different pairs of fruit can be selected.
Learn more about combinations on:
https://brainly.com/question/11732255
Find the equivalent to this fraction with the denominator 100
Answer:
No
Step-by-step explanat
The confidence associated with an interval estimate is called the: Group of answer choices significance precision none of these answers is correct confidence level degree of association
Answer:
The answer is "confidence interval".
Step-by-step explanation:
The trust period is a set of values that may include confidence intervals unspecified. Whenever a representative selection is collected numerous times, its sample parameter would be a certain percentage of its confidence intervals. It shows how likely the position of a statistical parameter will be estimated.
45 people per square kilometer. If the region covers 33 square kilometers, what is the population of the region?
Multiply people per square km by total square km.
45 x 33 = 1,485 total people.
If books cost $5 each how much will 6 books cost in all?
Answer:
30 dollars
Step-by-step explanation:
multiply 5 by 6 and its 30
How many oz. of a metal containing 40%
gold must be combined with 7 oz. of a
metal containing 90% gold to form an
alloy containing 75% gold?
Answer:
3 oz
Step-by-step explanation:
Let x represent the number of oz. of the medal with 40% gold:
Set up an equation and solve for x:
0.4x + 7(0.9) = 0.75(x + 7)
0.4x + 6.3 = 0.75x + 5.25
6.3 = 0.35x + 5.25
1.05 = 0.35x
3 = x
So, you will need 3 oz. of the metal with 40% gold
number 4
solve for x
Answer:
D
Step-by-step explanation:
7x+12+40=11x+6
7x+52=11x+6
48=4x
12=x
Answer:
12
Step-by-step explanation:
(11x + 6)° = (7x + 14)° + 40°
11x + 6 = 7x + 14 + 40
4x = 48
x = 12
Solve each system of equations algebraically x-y=6 y=-1
Answer:
x-(-1)=6
-x=6
-x/-1 6/-1
x=-6
Answer:
Therefore, the solution of the system of equations will be:
[tex]x=5,\:y=-1[/tex]
Step-by-step explanation:
Given the system of equations
[tex]x-y=6;\:y=-1[/tex]
solving
[tex]\begin{bmatrix}x-y=6\\ y=-1\end{bmatrix}[/tex]
[tex]\mathrm{Subsititute\:}y=-1[/tex]
[tex]\begin{bmatrix}x-\left(-1\right)=6\end{bmatrix}[/tex]
[tex]\begin{bmatrix}x+1=6\end{bmatrix}[/tex]
Isolate x for [tex]x+1=6[/tex]
[tex]x+1=6[/tex]
[tex]x=5[/tex]
Therefore, the solution of the system of equations will be:
[tex]x=5,\:y=-1[/tex]
Example
Shama has 1000 shares of par value Rs. 10 each of a company and 200 debentures of par value Rs. 100 each. The company pays an annual dividend of 10% and aninterest of 15% on debentures. Find the total income of Shama and rate of return on her investment
Answer:
are u indian ¿
:).... ........ :)
Beth purchased 7 sandwiches and spent a total of $43.75. If each sandwich was the same price, what was the cost per sandwich?
Answer:
6.25 dont fake ur grade plz
Step-by-step explanation:
In ∆ABC below, AD, BE, and CF are medians that intersect at G. If CG=8x and CF=9x+6, what is the value of x?
Answer:
Step-by-step explanation:
CG = [tex]\frac{2}{3}[/tex] CF
8x = [tex]\frac{2}{3}[/tex] (9x + 6)
8x = 6x + 4
2x = 4
x = 2
Scissor 1,2,3, or 4. Please Help!!!
Tina can walk 2000 meters in 50 minutes. What is the unit rate?
Answer:
divide
50 divided by 2000
Step-by-step explanation:
Answer:
40 meters per minute
Step-by-step explanation:
Translate the sentence into an inequality.
The sum of 7 and w is greater than 21.
?
Answer:
[tex]7+w \ge 21[/tex]
remove the line under the arrow
Answer:
w>14
Step-by-step explanation:
"sum" means adding together. So, the sum of 7 and w would be 7+w. The equation states that this sum is greater than 21, so:
7+w>21
if you want a simplified version, subtract 7 from both sides to get w>14
Need help it due right now at 2:00pm please help me please will mark the brainiest please
Answer:
X=2
Step-by-step explanation:
-2x+10=12-3x
-2x+3x=12-10
X=2
A blueprint of a house has a scale of 1 in ; 6ft. The living room has a dimension of 18 ft by 24 feet. What are the dimensions on the blueprint of the living room.
Answer:
3 in by 4 in
Step-by-step explanation:
The blueprint scale is 1 in : 6 ft
This means
1 in : 72 in
1 : 72
For the living room
18 ft by 24 ft can be written as : 18/6 by 24/6
3 in by 4 in -------- units in inches where 1 in : 6 ft
Answer:
The answer is 18 x 24
Step-by-step explanation:
Someone help me please
Determine the tangent of < A
Answer:
B
Step-by-step explanation:
The tangent of an angle is the ratio of the opposite side to the adjacent.
With respect to Angle A, the opposite side is 12.
And the adjacent side is 5.
Therefore:
[tex]\displaystyle\tan(A)=\frac{\text{opp}}{\text{adj}}=\frac{12}{5}[/tex]
The answer is B.
find the lcm of 24,34,30 and 36
A civic group is selling bumper stickers as a fundraiser. During the first week, they sold 500 bumper stickers. During the second week, they sold 50% more bumper stickers than the first week. During the third week, they sold 50% fewer bumper stickers than the second week.
Explain how you can use proportions to find the percent decrease from the first weeks' sales to the third weeks' sales. Your explanation must include the math you did to determine this. If you do not include the math and it make sense you will not get credit for this question.
Answer:
The third week they sold $375 in bumper stickers
Step-by-step explanation:
Proportions and Percentages
During the first week, the civic group sold 500 bumper stickers as a fundraiser.
During the second week. they sold 50% more bumper stickers than the first week. First, we calculate the increment of 50% of 500:
50% 500 = 50 * 500 / 100 = 250
Thus the second week they sold:
500 + 250 = 750 bumper stickers
Now we know the third week they sold 50% fewer than the second week.
Again, we calculate the 50%, but this time on the basis of 750, and not 500 bumper stickers:
50% 750 = 50 * 750 / 100 = 375
Thus the third week they sold:
$750 - $375 = $375
The third week they sold $375 in bumper stickers
Answer:
Step-by-step explanation:
hehehehdhdnenwne
Find the area of a rectangle that is 3 3/4 inches long by 2 1/4 inches wide
Answer:
8.4375
Step-by-step explanation:
multiply the sides by eachother
it helps me to translate it to decimal format :)
3. In the expression 362 + 6, what will be the place value of the first digit of the quotient?
A. It will be the tens place because 6 is less than 3.
B. It will be the tens place because 6 is greater than 3.
O
C. It will be the hundreds place because 6 is less than 3.
d
D. It will be the hundreds place because 6 is greater than 3.
Answer:
B. It will be the tens place because 6 is greater than 3.
Step-by-step explanation:
Since the question said "quotient," then I believe we have 362 ÷ 6 and not "362 + 6."
If we work on the quotient we have
[tex]60\frac{1}{3}[/tex]
Obviously, the first digit in the quotient is 6 and it takes the place of tens.
Looking at the options, option B fits the most because 6 is actually greater than 3.
Therefore, the answer is option B, It will be the tens place because 6 is greater than 3.
does the data represent a negative, positive, or no correlation
Answer:
Positive
Step-by-step explanation:
The price of your favorite brand of jeans was $35 last month. This month the price is discounted by 15%. What is the current price of the jeans?
Answer:
5.25
Step-by-step explanation:
15% × 35 =
(15 ÷ 100) × 35 =
(15 × 35) ÷ 100 =
525 ÷ 100 =
5.25
Hi please help me the pic is up there
Answer:
4p^3 (4p + 1)
Step-by-step explanation:
All we can do with this equation is factor it.
16p^4 + 4p^3
When we look at the coefficients, there is a common factor of 4 with 16 and 4. The p's are also common factors, and we can take out a common factor of x^3. We can combine these common factors and take them out of the equation at the same time.
4p^3 (4p + 1)
i have to mins john made some brownies to share equllay among himself and 7 friends what fraction of brownie can each person have?
Answer:
They each get 1/8 of the brownie
Step-by-step explanation:
Hurry up! don't want you getting a zero!