Answer:
infinitely many solutions
Step-by-step explanation:
The system of equations :
3x + 2y = 7-4.5x - 3y = -10.5Multiplying Equation 1 times 3 and Equation 2 times 2 :
9x + 6y = 21-9x - 6y = -21Putting the equations in standard form after simplifying :
6y = -9x + 21 ⇒ y = -1.5x + 3.5-6y = 9x - 21 ⇒ y = -1.5x + 3.5As both equations are the same, the system will have infinitely many solutions.
The given two-way table shows the number of passengers, by type, on the Ferris wheel at an amusement part for its first two runs on a Sunday morning.
First Run
Second Run Total
Children 122 146 268
Adults 183 219 402
Total 305 365 670
Based on the data in the table, what is the value of P(Adult|Second run) rounded to the nearest thousandth?
The two-way table is an illustration of probability, and the value of P(Adult|Second run) is 0.600
How to determine the probability?The probability to calculate is given as: P(Adult|Second run)
This means:
The probability that an Adult is selected given that the adult runs the second run
The formula to solve this is:
P(Adult|Second run) = n(Adult and Second run)/n(Second run)
From the table, we have:
n(Adult and Second run) = 219
n(Second run) = 365
So, we have:
P(Adult|Second run) = 219/365
Evaluate
P(Adult|Second run) = 0.600
Hence, the value of P(Adult|Second run) is 0.600
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Answer:
The value of P rounded to the nearest thousandth would be 0.6
Hope this helped!
Claudia is making a candle by pouring melted wax into a mold in the shape of a cylinder. The radius of the cylinder’s base is 4 cm, and the height of the cylinder is 9 cm. To get the wax for the candle, Claudia melts cubes of wax that are each 3 cm by 3 cm by 3 cm. How many of the wax cubes will Claudia need to purchase to make the candle? (Note that Claudia is not able to purchase partial cubes). Show all your work.
The formula of a cylinder is 2πr (r+h)
2π4 (4+9)
8π (13)
25.13 (13)
326.73
Cubes: area = a^3
3x3x3 = 27
326.73 / 27 = 12.1
Claudia would need to buy 13 wax cubes to fil the candle.
hope this helps k12 students :)
On March 1st Kendra’s checking account had a balance of $325.31. She wrote a check for $24.85, withdrew $40 from the ATM, and deposited $15. What was Kendra’s balance after these transactions?
Answer:
275.46
Step-by-step explanation:
She has $325.31
she writes a check for $24.85
she withdrew $40
and deposited $15
so do 325.31-24.85-40+15
and that equals
275.46
⚠ANSWER FOR THE 5TH GRADERS⚠
Answer:
vitamins - organic compound
minerals - inorganic compounds
Step-by-step explanation:
Answer:
1. minerals = B inorganic elements
2. Vitamins = A organic compound
Step-by-step explanation:
caleb is choosing a bank from the two banks below in an average month he writes 12 checks use his debit card 10 times and uses the atm six times how much caleb send on his monthly bank fees at state bank six times
Based on the number of times that Caleb writes checks, uses his debit card, and uses the ATM, his monthly bank fees are $11 and $15.70 at NeoBank and Arbor Bank respectively.
What are Caleb's bank fees?The question is incomplete so I will use a similar question to answer it.
Caleb's fees at Neobank would be:
= (12 checks x 0 per check) + (10 debt card uses x 0 per use) + (6 ATM uses x 1 per use) + 5 Monthly fee
= 0 + 0 + 6 + 5
= $11
Caleb's fees at Arbor Bank:
= (12 checks x 0.10 per check) + (10 debt card uses x 0.25 per use) + (6 ATM uses x 2 per use) + 0 Monthly fee
= $15.70
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What is the slope of a line perpendicular to the line whose equation x+y=3. Fully simplify your answer
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]x + y =3\implies y=-x+3\implies y=\stackrel{\stackrel{m}{\downarrow }}{-1}x+3 \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{-1\implies \cfrac{-1}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-1}\implies 1}}[/tex]
Write cos 32° in terms of sine.
cos 32° = sin
[tex]\cos32^{\circ} \\\\=\sin(90-32)^\circ~~~~~~~~~~~~~~;[\cos \theta = \sin(90- \theta)]\\\\=\sin 58^{\circ}[/tex]
PLEASE HELP!!!!!!!!!!!!!!
Maria makes 9 dollars for each hour of work. Write an equation to represent her total pay p after working h hours.
Answer: p = 9h
Step-by-step explanation:
If she makes 9 dollars of every hour of work, this will be a linear equation. We will write it as the following:
p = 9h
Answer:
9h/p
Step-by-step explanation:
9 x # of hours = total pay
$9 is the dollars for each hour, so you multiply that by how many hours Maria works. You will get the total pay.
Please help me with this math problem!! Will give brainliest!! :)
Answer:
A. 17
B. 16
Step-by-step explanation:
F(5)
5 > 2 so you plug the 5 into 3x+2
F(-2)
-5 < -2 < 2 so you plug the -2 into (x-2)^2
Solve 10(0j + 4j + 40)
Hey there!
10(0j + 4j + 40)
DISTRIBUTE 10 WITHIN the PARENTHESES
= 10(0j) + 10(4j) + 10(40)
= 0j + 40j + 400
COMBINE the LIKE TERMS
= (0j + 40j) + (400)
= 0j + 40j + 400
= 40j + 400
Therefore, the answer should be:
40j + 400
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
[tex]\boxed{40j + 400}[/tex]
Step-by-step explanation:
Given expression:
[tex]10(0j + 4j + 40)[/tex]
Since the expression inside the parentheses can be simplified, it is suggested to simplify the expression, inside the parentheses, first.
[tex]\implies10[j(0 + 4) + 40][/tex]
[tex]\implies 10[4j + 40][/tex]
Now, simplify the distributive property.
The distributive property can be simplified by multiplying the term outside the parentheses with all the terms inside the parentheses.
[tex]\implies 10[4j + 40][/tex]
[tex]\implies [4j \times 10] + [40 \times 10][/tex]
[tex]\implies \boxed{40j + 400}[/tex]
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Help me pls which one
Answer:
C . 0.1
Step-by-step explanation:
There are nine lines between 0 and 1
The one the red dot is one is 0.1
Elsie is going to flip a coin and spin a spinner. The coin has a heads and a tails. The spinner has four equal parts that are yellow, blue, red, and green. What are the chances that Elsie gets heads and red on the spinner?
A. 1/8
B. 1/6
C. 1/4
D. 1/2
Answer:
1/8
Step-by-step explanation:
.5x.25=.125
1 divided by 8 equals .125
Answer:
Step-by-step explanation:
Answer:
1/8
Step-by-step explanation:
.5x.25=.125
1 divided by 8 equals .125
Find the area of a polygon
Answer:
32.71cm² is the area
The third term in a sequence is 11.
The term-to-term rule is "take away 4".
Write an expression, in terms of n, for the nth term of the sequence.
Answer:
Nth term = 19 - 4(n-1)
Step-by-step explanation:
First term be A
Nth term = A - 4(n-1)
3rd term = 11 = A - 4*2 = A - 8
A = 19
Nth term = 19 - 4(n-1)
Use the following data set to answer questions 1-8: 13, 19, 7, 12, 21, 18, 15 1. Calculate the mean. Round to the nearest tenth.
Answer:
Mean = 13.3
Step-by-step explanation:
Mean = Sum of numbers = 13 + 19 + 7 + 12 + 21 + 18 + 15 + 1 = 106 = 13.25
Amount of numbers 8 8
13.25≈13.3
83 + (25) : 5 > 32 + 42
Step-by-step explanation:
83 +(25)/5 >32 + 42
Simplify 83 + (25)/5= 108/5
Simplify 32 + 42: 74
108/5>74
Therefore the solution is false
Unit test
Problem
Here are two different samples drawn from two different populations:
Two dot plots show the distributions of two samples. For each sample, the number line has a scale from 0 to 100 in increments of 10. For sample A, n = 11. The distribution is right skewed between 70 and 100, with outliers at 0 and 10. For sample B, n = 14. The distribution is right skewed between 0 and 100.
Which sample satisfies the normal condition for constructing a ttt interval?
Using the Central Limit Theorem, it is found that none of the samples satisfy the normal condition.
What does the Central Limit Theorem state?It states that the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex], as long as at least one of these following conditions is respected.
The underlying distribution is normal.The sample size is greater than 30.In this problem, the underlying distributions are skewed, and both sample sizes are less than 30, hence none of the samples satisfy the normal condition.
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Answer:
N/A
Step-by-step explanation:
please can someone help fr
Step-by-step explanation:
help with what because on this tab I can only see a picture icon and not the actual snap so I'd like to help but I really cant
Answer:
x = 116°
Step-by-step explanation:
Finding the value of 'x' in a polygon
[tex]\sf \boxed{\text{Sum of interior angles of a polygon = (n - 2)*180}}[/tex]
= (5 - 2) *180
= 3*180
= 540°
90 + 119 + 86 + 129 +x = 540
424 + x = 540
x = 540 - 424
x = 116°
the product of nine and a number decreased by six
Answer:
9* (x-6)
9x-54
9x=54
x=54/9
x=6
Step-by-step explanation:
PLEASE HELP ME.......
The equation first, third, fifth and seventh are equivalent to the fifth, second, fourth and eighth equation.
How to find the equivalent expression?Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
Equivalent expression can be found out by simplifying the given equation.
First equation given as,
[tex]\left(-14+\dfrac{3}{2}b\right)-\left(1+\dfrac{8}{2}b\right)[/tex]
Simplify it further,
[tex]\left(-14+\dfrac{3}{2}b\right)-\left(1+\dfrac{8}{2}b\right)\\-14+\dfrac{3}{2}b-(1+4b)\\-14+\dfrac{3}{2}b-1-4b\\-15-\dfrac{5}{2}b[/tex]
Third equation in the problem given as,
[tex]\left(5+2b\right)+\left(2b+\dfrac{3}{2}\right)\\5+2b+2b+\dfrac{3}{2}\\4b+\dfrac{13}{2}[/tex]
Simplify it further,
[tex]\left(-14+\dfrac{3}{2}b\right)-\left(1+\dfrac{8}{2}b\right)\\-14+\dfrac{3}{2}b-(1+4b)\\-14+\dfrac{3}{2}b-1-4b\\-15-\dfrac{5}{2}b[/tex]
Similarly, the fifth and seventh equation are simplified and equivalent to the fourth and eight respectively.
Thus, the equation first, third, fifth and seventh are equivalent to the fifth, second, fourth and eighth equation.
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find the cost of 10 pens at x pence each
Answer:
D. x + 10 pence
Step-by-step explanation:
Since the pen costs 10 pence more than the ruler, we need to add 10 to x.
Find the surface area of the rectangular prism
Answer:
126 mi²
Step-by-step explanation:
Surface Area of a Rectangular Prism :
SA = 2(bh + lh + lb)SA = 2(3 × 5 + 6 × 5 + 6 × 3)SA = 2(15 + 30 + 18)SA = 2(63)SA = 126 mi²can someone help me with this question? Thank you!
Answer:
i hope this can help you!
Find two numbers whose difference is 30 and whose product is a minimum.
Answer:60-30 I guess
Step-by-step explanation:n60-30=30
If 3x^2+3y^2 = 42 and xy = -15, find the value of (x-y)^2
Answer:
3x² + 3y² = 42
3 ( x² + y² ) = 42
x² + y² = 14
xy = -15 ( given )
(x-y)² = x² + y² - xy
14 - ( -15 )
14 + 15
29
When calculating interest accrued, you use the
O A. APR
O B. APY
O C. debt ratio
O D. going rate
what is the answer to (2x -3) / 4 = 9
Answer:
[tex]x=\frac{39}{2}[/tex]
Step-by-step explanation:
[tex]\frac{2x-3}{4}=9\\ \\2x-3=36\\\\2x=39\\\\x=\frac{39}{2}[/tex]
helppppppppppppppppppppppppp
Goran wants to find the average height of students in the 9th grade at Northside Highschool. So he will use the height of 50 students in the 9th grade to find the average height.
Explanation: pounds - currency/weight, ounces - volume of water, centimeter - height/length, grams - mass, inches - height
Solution:
(a)
1) centimeters
2) inches
(b) Solution: Randomly pick 50 students from the 9th grade and measure their heights.
The graph from the US Department of Agriculture shows the growth of farmers markets in the United States. What was the first year that th enumber of farmers markets increased to over 3000?
2001
2002
2000
2003
Answer:
Its was 2002 since that is the first heightest bar pass 3000
