The inequality can be solved as follows
\(\begin{gathered} 18(\frac{1}{3}x+6)>3(2x-6) \\ \text{divide by 3} \\ 6(\frac{1}{3}x+6)>2x-6 \\ \text{Multiply 6 with terms inside brackets} \\ \frac{6\ast x}{3}+6\ast6>2x-6 \\ 2x+36>2x-6 \\ \text{Move 36 to right side} \\ 2x>2x-6-36 \\ \end{gathered}\)\(\begin{gathered} 2x>2x-42 \\ \text{Move 2x to the left side of inequality} \\ 2x-2x>-42 \\ 0>-42 \end{gathered}\)0>-42 is a true statement. Thus, the inequality have an infinite number of solutions.
7. Casey bought a 15.4-pound turkey and an 11.6-pound ham for Thanksgiving and paid $38.51. Her
friend Jane bought a 10.2-pound turkey and a 7.3-pound ham from the same store and paid $24.84.
Find the cost per pound of turkey and the cost per pound of ham.
Answer:
t = 1.195pounds.
Step-by-step explanation:
The cost per pound of Turkey and Ham are: 1.195pounds and 1.733pounds respectively.
By observing the question, we must notice this is a word problem and can be written mathematically thus;
For Casey:
15.4t + 11.6h = 38.51
For Jane:
10.2t + 7.3h = 24.84
Therefore, to find the cost per pound of Turkey and Ham, the pair of equations need to be solved simultaneously.
Therefore, we can make t the subject of the formula in equation (2) as follows;
t = (24.84 - 7.3h)/10.2
Therefore, we can substitute the value of t into equation (1) to get;
15.4{(24.84 - 7.3h)/10.2} + 11.6h = 38.51
37.51 - 11.023h + 11.6h = 38.51
0.577h = 1
h = 1.733pounds
Therefore, by substituting the value of h into equation 1, we get the value of t to be;
t = 1.195pounds.
5In t + 6In s to make a single logarithm
Answer:
ln t^5s^6.
Step-by-step explanation:
5In t + 6In s
= ln t^5 + ln s^6
= ln (t^5*s^6)
= ln t^5s^6.
Find the complete factored form of the
polynomial :
-8m²n-7m² nª
Enter the correct answer.
The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).
To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:
-8m²n - 7m²n = (-m²n) (8 + 7a)
Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.
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Graph the parabola.Y=x^2+4Plot five points on the parabola: The vertex, two points to the left of the vertex, and two points to the right of the vertex.
Notice that the equation of the given parabola is in vertex form, therefore the vertex of the given parabola is:
\((0,4).\)Recall that to evaluate an equation at a given value we substitute the variable with the given value.
Evaluating the given equation at x=-2 we get:
\(y=(-2)^2+4=4+4=8.\)Therefore the graph of the given parabola passes through (-2,8).
Evaluating the given equation at x=-1 we get:
\(y=(-1)^2+4=1+4=5.\)Therefore the graph of the given parabola passes through (-1,5).
Evaluating the given equation at x=2 we get:
\(y=2^2+4=4+4=8.\)Therefore the graph of the given parabola passes through (2,8).
Evaluating the given equation at x=1 we get:
\(y=1^2+4=1+4=5.\)Therefore the graph of the given parabola passes through (1,5).
Therefore the graph of the given parabola is:
Answer:
The vertex is (0,4).
Two points to the left of the vertex are (-2,8) and (-1,5).
Two points to the right of the vertex are (2,8) and (1,5).
need help on how the graph wound look likeNeed the two on a single graph\(y \ \textless \ - \frac{1}{3} x + 5 \)\(y \ \textgreater \ - \frac{1}{3} \times - 1\)
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given inequality for A
\(y<\frac{1}{3}x+5\)\(y>-\frac{1}{3}x-1\)
The graph is given as:
The blue portion represents the second inequality while the red portion represents the first inequality. The deep coloured part in between represents the solution to the two inequalities.
Find the value of X in the diagram. (See below)
1. 25
2. 10
3. 180
4. 50
Answer:
17
Step-by-step explanation:
STUDY HARD GUYS I NEED HW HELP
A school bus carries 20 students. There are
currently 215 students in the 7th grade. How many
school buses are needed to take the 7th grade on a
field trip?
Answer:
11 buses
Step-by-step explanation:
215 divided by 20 is 10.75 and rounding up makes more sense for this problem, so 11 buses would be needed to carry the entire 7th grade.
Harper is starting a printing business. She purchases plain t-shirts for $5 dollars each and spends $150 for printing equipment She decides to sell printed shirts for $10 each. How many t-shirts does Harper need to sell so that the amount of money she spends to start her business and the amount of money she earns are the same.
Answer:
30
Step-by-step explanation:
150/5 = 30
30+30+30+30+30 = 150
A fair coin is flipped 15 times. What is the probability that you will have 5 tails?
Answer:
9.18%
Step-by-step explanation:
The probability of getting a tail on a fair coin flip is 0.5, and the probability of getting a head is also 0.5. Since each coin flip is independent, we can use the binomial probability formula to calculate the probability of getting exactly 5 tails in 15 flips:
P(X = 5) = (15 choose 5) * (0.5)^5 * (0.5)^(15-5)
where (15 choose 5) is the number of ways to choose 5 tails out of 15 flips, which can be calculated as:
(15 choose 5) = 15! / (5! * 10!) = 3003
Substituting the values, we get:
P(X = 5) = 3003 * (0.5)^15 ≈ 0.0918
Therefore, the probability of getting exactly 5 tails in 15 coin flips is approximately 0.0918 or 9.18%.
plss help me with it
which of the following ordered pairs is a function?
Answer:
B is the correct answer--each x-value corresponds to exactly one y-value.
True or false
-y = -112 + 4; (0, -4)
Answer:
False
Step-by-step explanation:
On May 15, you got $25 for your birthday On May 16, you spent $14.50 on clothes On May 17. you found $15 in your pants pocket On May 18, you spent $12.45 on lunch On May 19, you got a check for $50 for work that week What is the final balance?
Answer:
$63.05
Explanation:
To know the final balance, we need to add or subtract each quantity depending on whether it is money that you receive or money that you spend.
So, we can represent each situation as:
You got $25 for your birthday: + $25
You spent $14.50 on clothes: - $14.50
You found $15 in your pants pocket: + $15
You spent $12.45 on lunch: - $12.45
You got a check for $50 for work: + $50
Then, the final balance is equal to:
$25 - $14.50 + $15 - $12.45 + $50 = $63.05
So, the answer is $63.05
Multiply. Express your answer in simplest form.
5/9 x 3/10
Answer:
5/9 x 3/10 = 15/90 as simplified as 1/6 in fraction form.
5/9 multiplied by 3/10 is equal to 1/6 in its simplest form.
We have,
To multiply fractions, we multiply the numerators together and the denominators together.
The resulting fraction is then simplified to its simplest form.
Let's multiply 5/9 by 3/10:
(5/9) x (3/10) = (5 x 3) / (9 x 10) = 15/90
To simplify the fraction 15/90, we can divide both the numerator and denominator by their greatest common divisor, which is 15:
15/90 = (15 ÷ 15) / (90 ÷ 15) = 1/6
Therefore,
5/9 multiplied by 3/10 is equal to 1/6 in its simplest form.
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What is the domain of the following function?
The domain of the function or relation is {6, 9, -4 and 2}
How to determine the domain of the function?The function is represented by the set of relation or ordered pairs
The ordered pairs in the relation are:
(x, y) = (6, -3), (9, -3), (-4, 1) and (2, 1)
Remove the y values in the above domain
x = 6, 9, -4 and 2
The x values represent the domain of the function
Hence, the domain of the function or relation is {6, 9, -4 and 2}
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The USC Annenberg School Center for the Digital Future found that, in 2009, 30.5% of Americans felt uncomfortable with the lack of face-to-face contact when ordering a product online. The corresponding percentage was 23.5% in 2001. Assume the samples were independently and randomly selected and that the sample size was 2000 in both years.
Find a 99% confidence interval for the difference in population proportions of those uncomfortable with lack of face-to-face contact for the two years. (Let group 1 represent 2009.)
The 99% confidence interval for the difference in the population proportions of those uncomfortable with lack of face-to-face contact for the two years, using the z-distribution, is of:
(0.0340, 0.1061)
What are the mean and the standard error for the distribution of differences?To find the confidence interval, the first step is finding the mean and the standard error for the distribution of difference, which is dependent on the proportion and the standard error for each sample, obtained as follows:
2009: \(p_1 = 0.305, s_1 = \sqrt{\frac{0.305(0.695)}{2000}} = 0.0103\)2001: \(p_2 = 0.235, s_1 = \sqrt{\frac{0.235(0.765)}{2000}} = 0.0095\)Hence, for the distribution of differences, the parameters are given as follows:
p = 0.305 - 0.235 = 0.07.s = sqrt(0.0103² + 0.0095²) = 0.014.(the subtraction is pre-established, that it is the subtraction of the sample proportions, while the standard error is defined according to the Central Limit Thoerem).
What is the confidence interval?The bounds of the interval are defined by the equation presented as follows:
p ± zs
The critical value is of 2.575, which is the critical value for the z-distribution with a two-tailed 99% confidence interval, from the z-table.
The lower bound of the interval is:
p - zs = 0.07 - 2.575 x 0.014 = 0.0340.
The upper bound of the interval is:
p + zs = 0.07 + 2.575 x 0.014 = 0.1061.
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find the volume of the figure
Answer:
Step-by-step explanation:
base area=41.57 in²
height=9 in
volume=41.57×9=374.13 in³
The X and Ys are confusing
Answer: -15yx^2
Step-by-step explanation:
-12x^2 * y -3x^2 * y=
-12(x^2 * y)-3(x^2 * y)=
(-12-3)(x^2 * y)=
-15x^2 * y=-15yx^2
Answer:
-15x²y
Step-by-step explanation:
Given that,
→ -12x²y - 3x²y
Then the solution will be,
→ -12x²y - 3x²y
→ -15x²y
So, the answer is -15x²y.
I need help pzgsgddhdhddg
Answer:
The correct answer is 756÷10^2=7.56
Step-by-step explanation:
can i have brainliest please
A rectangle initially has dimensions 6 cm by 7 cm. All sides begin increasing in length at a rate of 3 cm/s. At what rate is the area of the rectangle increasing after 23 s?
Answer:
The area of the rectangle is increasing at a rate of 54 cm2/s.
Step-by-step explanation:
Help I need the answer in 5 minutes!!
Answer:
the answer is B
Step-by-step explanation:
900% of what number is 7,470
Answer:
830
Step-by-step explanation:
7470/9 = 830
Answer:
900% of 7470=67230
Step-by-step explanation:
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 7470 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 7470 is 100%, so we can write it down as 7470=100%.
4. We know, that x is 900% of the output value, so we can write it down as x=900%.
5. Now we have two simple equations:
1) 7470=100%
2) x=900%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
7470/x=100%/900%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 900% of 7470
7470/x=100/900
(7470/x)*x=(100/900)*x - we multiply both sides of the equation by x
7470=0.11111111111111*x - we divide both sides of the equation by (0.11111111111111) to get x
7470/0.11111111111111=x
67230=x
x=67230
now we have:
900% of 7470=67230
what is the area of the figure
Answer:
A = 2184 cm²
Step-by-step explanation:
the area (A) of the figure is calculated as
A = \(\frac{1}{2}\) h(b₁ + b₂)
where h is the perpendicular height between the bases b₁ and b₂
here h = 42 , b₁ = 52 , b₂ = 52 , then
A = \(\frac{1}{2}\) × 42 × (52 + 52) = 21 × 104 = 2184 cm²
Answer:
A = 2184 cm2
Step-by-step explanation:
Area of a parallelogram:
\(A = b*h\)
\(b=52,h=42\)
\(A=(42)(52)=2184cm^{2}\)
Hope this helps.
3. The customs duty on an imported vehide is 45% of imported price. (a) Calculate the customs duty опа car for which the imported price. is $3000 000. of a mini (6) Calculate the imported price bus if the amount paid induding customs duty TS $1560 000. ES
a) The customs duty on the car would be $1,350,000.
b) The imported price of the bus would be $858,000.
(a) To calculate the customs duty on a car with an imported price of $3,000,000, we can multiply the imported price by the duty rate of 45%:
Customs duty = $3,000,000 * 0.45 = $1,350,000.
(b) To calculate the imported price of a bus if the amount paid, including customs duty, is $1,560,000, we need to determine the portion of the total amount that represents the customs duty. Since the customs duty is 45% of the imported price, we can set up the following equation:
Customs duty = $1,560,000 * 0.45.
Solving for the customs duty:
Customs duty = $702,000.
Now, we can subtract the customs duty from the total amount to find the imported price:
Imported price = $1,560,000 - $702,000 = $858,000.
In summary, the customs duty on a car with an imported price of $3,000,000 would be $1,350,000. On the other hand, if the amount paid for a bus, including customs duty, is $1,560,000, the imported price of the bus would be $858,000.
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The diagonal of a square is 14 cm. Find its area.
Answer:
\(let \: the \: length \: of \: one \: side \: be \: l \\ {l}^{2} = {14}^{2} - {l}^{2} \\ 2 {l}^{2} = {14}^{2} \\ l\sqrt{2} = 14 \\ l = \frac{14}{ \sqrt{2} } \: cm \\ area = \: l \times l \\ = ( { \frac{14}{ \sqrt{2} }) }^{2} \\ = 98 \: {cm}^{2} \)
Find the area of a circle with a radius of
7
7start color #11accd, 7, end color #11accd.
Either enter an exact answer in terms of
�
πpi or use
3.14
3.143, point, 14 for
�
πpi and enter your answer as a decimal.
The area of a circle is calculated using the formula:
A = πr^2
Where A is the area and r is the radius of the circle.
In this case, the radius is given as 7. Substituting the value into the formula:
A = π(7)^2
A = π(49)
A = 49π
The exact area of the circle is 49π square units.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Geometry: CC 2015 > Chapter 3: 3.4-3.5 Quiz > Quiz 3
Use the diagram to determine which of the statements must be true.
From the diagram given, the following statements are parallel:
A || B - Bisected by Transversal at 90°C || D - Bisected by Transversal at 90°C || E - Bisected by Transversal at 90°D || E Bisected by Transversal at 90°What is a parallel line?Parallel lines are coplanar straight lines that do not cross at any point in geometry. Parallel planes are planes that never intersect in the same three-dimensional space.
It is to be noted that Parallel curves are those that do not touch or intersect and maintain a constant minimum distance.
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3x=5+y/y
Solve For Y
HELP
Answer:
\(3x = \frac{5 + y}{y} ) \times y \\ 3xy = 5 + y \\3 xy - y = 5 \\ y(3x - 1) = 5 \\ y = \frac{5}{3x - 1} \)
One day, the appliance store offers a $50 discount on all purchases over $300. The store also has a sale with 15% off the price of all refrigerators. The 15% discount is applied after the $50 discount. What is the price, in dollars, of a $435 refrigerator after both discounts?
Answer:
$327.25
Step-by-step explanation:
so first we apply the $50 discount
$435-$50= $385
then we find how much the 15% discount is worth by turning the percent into a decimal and multiplying by the $385
385•0.15= 57.75
now we subtract the value of the discount from the newer price
385-57.75= $327.25
hope this makes sense <3
$327.25 is the price, in dollars, of a $435 refrigerator after both discounts.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100.
Here, we have,
The appliance store offers a $50 discount on all purchases over $300. The store also has a sale with 15% off the price of all refrigerators.
The 15% discount is applied after the $50 discount.
Now, we have to,
so, first we apply the $50 discount
$435-$50= $385
then we find how much the 15% discount is worth by turning the percent into a decimal and multiplying by the $385
385•0.15= 57.75
now we subtract the value of the discount from the newer price
385-57.75= $327.25.
Hence, $327.25 is the price, in dollars, of a $435 refrigerator after both discounts.
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I need help with these two problems 4-155 and 4-156
a)
\(\frac{12}{5}+\frac{7}{10}=\frac{24}{10}+\frac{7}{10}=\frac{31}{10}\)b)
\(\frac{9}{4}+(-\frac{1}{3})=\frac{9}{4}-\frac{1}{3}=\frac{27-4}{12}=\frac{23}{12}\)c)
\(-\frac{3}{5}+(-\frac{1}{6})=-\frac{3}{5}-\frac{1}{6}=\frac{-18-5}{30}=-\frac{23}{30}\)