The required simplified value of the given expression is x = 22.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Given expression,
3/4x=33/2
x = 33 / 2 × 4 / 3
x = 11 × 2
x = 22
Thus, the required simplified value of the given expression is x = 22.
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Small baskets of tomatoes are sold at a vegetable stand for $3 per basket. Large baskets
of tomatoes are sold at the stand for $5 per basket. Only whole numbers of baskets may be
purchased.
Another customer claims that he can purchase a total of 10 baskets of tomatoes
and pay $45.
B. Use a system of equations that describes this other customer's purchase to
explain why the claim is incorrect.
hello lol srry I don't know what to do
The customer's claim is incorrect because the value of the number of baskets are in decimal.
What is a system of equation?A system of equations is a set or collection of equations that you deal with all together at once. For a system to have a unique solution, the number of equations must equal the number of unknowns.
For the given situation,
Let the number of small baskets be x
and the number of large baskets be y
Price of small basket = $3 per basket
Price of large basket = $5 per basket
Number of baskets purchased by customer = $45
The system of equations for the above statements are
[tex]x+y=10[/tex] ------ (1)
[tex]3x+5y=45[/tex] ------ (2)
From 1, [tex]x=10-y[/tex]
Now, substitute x in equation 2,
⇒ [tex]3(10-y)+5y=45[/tex]
⇒ [tex]30-3y+5y=45[/tex]
⇒ [tex]2y=45-30[/tex]
⇒ [tex]2y=15[/tex]
⇒ [tex]y=\frac{15}{2}[/tex]
⇒ [tex]y=7.5[/tex]
Substitute the value of y in equation 1, we get
⇒ [tex]x=10-7.5[/tex]
⇒ [tex]x=2.5[/tex]
Only whole numbers of baskets may be purchased. But the value of x and y are in decimals.
Hence we can conclude that the customer's claim is incorrect because the value of the number of baskets are in decimal.
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Complete the coordinate proof for the quadrilateral determined by the points A(7, 9), B(9, 4) , C(4, 2), D(2, 7) . Prove that ABCD is a parallelogram.
Answer:
its B
Step-by-step explanation:
Find the value of x and y
Answer: D. x=9√3; y=18
Step-by-step explanation:
This is a 30-60-90 special triangle, where we can use the rules to find the value of x and y. (For specific explanation, please look at the attachment below)
-----------------------------------------------------------------------------------------------------
X value
- The shortest side of the triangle that corresponds with [x] is 9 units. This is because it is half of the larger triangle's side length.
- Using the rules, the shortest side is x, then the second short side is x√3
- Substitute value in= x√3=(9)√3=9√3
Y value
- The shortest side of the triangle that corresponds with [x] is 9 units. This is because it is half of the larger triangle's side length.
- Using the rules, the shortest side is x, then the longest side is 2x
- Substitute value in= 2x=2(9)=18
Hope this helps!! :)
Please let me know if you have any questions
9.Patients who are addicted to cocaine are sometimes using the drug to combat
depression. As such, sometimes addicts are given antidepressant medications to
prevent relapse. A three-year study compared the effects of two such medications,
lithium and desipramine, along with a placebo for 72 cocaine users wishing to break
the habit. The patients were put into 3 groups of 24, and given 1 of the 3 treatments at
random. This two-way table illustrates the results.
Treatment Relapse No relapse Total
Desipramine 10 14 24
Lithium 18 6 24
Placebo 20 4 24
Total 48 24 72
According to the table, 48 of the addicts relapsed regardless of the treatment given.
This number is an example of a
A. relative frequency
B. marginal frequency.
C. conditional relative frequency.
D. joint frequency
which comparison does the ratio 20:21 represent?
Sam made fruit punch for a party. He mixed 3 gallons of orange juice, 2 quarts of pineapple juice, 4 pints of cranberry juice, and 6 cups of apple juice. How many quarts did he make in all?
Answer:
19 quarts
Step-by-step explanation:
you change the measurements to quarts.
ABCD is a parallelogram
M is the midpoint of CB
N is the midpoint of AB
DA = a
DC = c
a) find, in terms of a and c, the vector of MN
b) show that CA is parralel to MN
Answer:
Part a)
MN = 0.5a-0.5c
Part b)
MN=0.5a-0.5c
CA=a-c
CA is parallel to MN because 2×MN = CA.
Step-by-step explanation:
Part a = We know that ABCD is a parallelogram (stated), thus opposite sides must be equal. So given that DA = a, CB = a, DC = c, AB = C.
MN = MB+BN, so as M is the midpoint of CB then MB = 1/2 a and as we are going against AB (we are doing BN) then it will be -0.5c as N is the midpoint of AB.
Part B= More of a mathswatch error, where you have to quite literally put the precise answer. CA = CD+DA so -c (as we are going the opposite way to DC) + a.
CA = -c+a
Now CA is a multiple of MN. But Mathswatch prefers if you say that CA is parallel to MN because MN times 2 is equal to CA
In this exercise we have to use the knowledge of parallelogram and vectors to give the values of each one of them, like this:
A) MN = 0.5a-0.5c
B)CA is parallel to MN because 2×MN = CA.
First, we have to remember the definition of parallelogram:
A polygon is any flat closed shape made of straight line segments. A parallelogram is a polygon with 4 sides in which sides that don't touch each other are parallel.A) We know that ABCD is a parallelogram, thus opposite sides must be equal. So given that:
[tex]DA = a,\\CB = a, \\DC = c, \\AB = C.[/tex]
[tex]MN = MB+BN\\MB = 1/2\\BN=-0.5c\\MN = 0.5a-0.5c[/tex]
B)Where you have to quite literally put the precise answer, so we have that:
[tex]CA = CD+DA \\CD=-c\\DA=a\\CA = -c+a\\[/tex]
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Sarah read 215 pages of her book during the first week of vacation. During the second week she read62 more pages then the first week
Answer:
She read 277 pages during the second week.
Step-by-step explanation:
215 + 62.
Answer: she read 277 books
Step-by-step explanation:
5 × 3/2, but the answer as a fraction
Answer:
15/2
Step-by-step explanation:
5/1 * 3/2 = 15/2
What is the midpoint of the segment shown below (3, 7) (2, -1)
Answer:
(3,7) (2,-1)
(y1,Y2K)(z1,z2)
(y2-y1)(z2-z1)
(7_3)(-1-2)
(4)(-3)
=-12
choose two expression equivalent to 5 (3a+4b)
A. 15a + 4b
B 15a + 20b
C. 5a + 3a + 4b
D. 4a + 10a + b + 3b
E. 10a + 5a +b + 5b
The expression equivalent to 5(3a+4b) is option (B) 15a+20b
What is Distributive property?In mathematics, the distributive property of binary operations generalizes the distributive law, which asserts that the equality is always true in elementary algebra.
Given,
5(3a+4b)
Apply distributive property
5(3a+4b) = 15a + 20b
Hence, the expression equivalent to 5(3a+4b) is option (B) 15a+20b
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This week Leah got a promotion at work that came with a 6 % pay increase. If now her monthly
salary is $2862, how much was she making before the raise?
Answer:
$2690.28
Step-by-step explanation:
2862 decrease 6% =
2862 × (1 - 6%) = 2862 × (1 - 0.06) = 2690.28
Answer:
2700
Step-by-step explanation:
106%-> 2862
100%->2700
Mr. Lenz has received several orders for apples at his farm
stand. He needs to know how many people ordered 12
apples so he can fill bags of 12.
Would a dot plot or a histogram be a more appropriate way to display the
data for this situation?
A. A histogram, because Mr. Lenz wants to know all of the data for a
single value
O B. A dot plot, because Mr. Lenz wants to know all of the data for a
single value.
C. A histogram, because Mr. Lenz wants to know how the data fall
into different intervals or ranges.
D. A dot plot, because Mr. Lenz wants to know how the data fall into
different intervals or ranges.
Answer:
A, Histograms give values where as dot plots are focused on a trend.
Answer:
B
Step-by-step explanation:
I got the test
help me plsssssssssssssssssssssss!
"Answer" and Explanation:
All I can tell is that x=60, and that the angle is also 60, since it is and equalateral triangle. I can't see anything about sides lengths nor can I tell what 'side' means, so yeah that's all I can say. Sorry that probably didn't help at all.
Emilia and Joshua shared some money in the ratio 1:6.
Emilia received £15.
How much did Joshua receive?
Answer:
15x6
Step-by-step explanation:
do 15x6 and what that is, is the answer
Is three fourths more than three eights
Answer:
yes
Step-by-step explanation:
not sure how to explain it's kinda hard sorry
Answer:
Yes
Step-by-step explanation:
18. This data set shows the total points scored per game by the varsity basketball team during last year's season.
60
65
67
62
65
67
63
65
68
64
65
70
64
66
90
Click on the blank and select the correct word or phrase that describes the shape of this data distribution.
The data distribution
is symmetric.
is skewed left.
is skewed right
can't be determined.
Answer:
Try skewed left or cannot be determined
Step-by-step explanation
Miss Fallon wants to paint her classroom door in a checkerboard pattern. The door measures 96 inches in length and 36 inches in width. Determine the side length of the largest square they can use to fill the checkerboard pattern completely without overlap or gaps. Fill in the blank. The side length of the largest square they can use is _________ inches. (GCF)
Answer:The door mesures 96 inches in length and 36 inches in width
if u need a explenation you can ask me
please help me please
Answer:
It won't let me see the picture
Step-by-step explanation:
On a given day, the proportion of workers from Company B who purchase a coffee from the company cafeteria is 0.62 and the proportion of workers from Company C who purchase a coffee from the company cafeteria is 0.71. A random sample of 40 workers was selected from Company B and another random sample of 40 workers was selected from Company C. The proportion of workers from Company B who purchased coffee was
Complete question is;
On a given day, the proportion of workers from Company B who purchase a coffee from the company cafeteria is 0.62 and the proportion of workers from Company C who purchase a coffee from the company cafeteria is 0.71. A random sample of 40 workers was selected from Company B and another random sample of 40 workers was selected from Company C. The proportion of workers from Company B who purchased coffee was p^_B = 0.70 and the proportion of workers from Company C who purchased coffee was p^_C = 0.75.
What is the correct unit of measurement for the mean of the sampling distribution p^_B - p^_C?
A) Days
B) Dollars
C) Companies
D) Workers
E) There are no units associated with the mean of the sampling distribution
Answer:
E) There are no units associated with the mean of the sampling distribution
Step-by-step explanation:
We are given;
Population proportion for workers from Company B who purchase a coffee from the company cafeteria as 0.62
Population proportion for workers from Company C who purchase a coffee from the company cafeteria as 0.71
Now, we were told that a random sample of 40 each were selected from both company B & C and the sample proportion were;
p^_B = 0.70 and p^_C = 0.75
Now, this proportions don't have any units as it is based on a ratio of the number of people that purchased coffee to the number of people surveyed.
Thus we can conclude that p^_B - p^_C will not have any units associated with it.
The possible outcomes of the difference in proportions of the two samples
based on on the individual proportions are not associated with a unit.
The correct option for the unit of measure of the sampling distribution [tex]\hat p_B - \hat p_C[/tex] is E. There are no units associated with the mean of the sampling distribution.Reasons:
The given parameters are;
The proportion of workers of Company B who purchase coffee from the
Company B workers that purchase coffee from the cafeteria = 0.62
Company A workers that purchase coffee from the cafeteria = 0.71
Number of workers in the sample from Company B = 40
Number of workers in the sample from Company A = 40
Proportion of Company B workers who purchase coffee, [tex]\hat p_B[/tex] = 0.71
Proportion of Company C workers who purchase coffee, [tex]\hat p_C[/tex] = 0.75
Required:
The unit of the mean of the sampling distribution of [tex]\mathbf{\hat p_B - \hat p_C}[/tex]
Solution:
The proportion of the workers that purchase coffee is given by the ratio of the number of workers that purchase coffee to the number of workers in the sample.
Therefore;
[tex]\displaystyle \hat p = \mathbf{\frac{Coffee \ buying \ workers}{Total \ number \ of \ workers}}[/tex]
Given that the unit of the numerator and denominator are both workers,
that divide out, we have that the [tex]\mathbf{\hat p}[/tex], [tex]\mathbf{\hat p_B}[/tex], [tex]\mathbf{\hat p_C}[/tex] and therefore [tex]\hat p_B - \hat p_C[/tex] are not
associated with a unit.
Therefore;
The correct option is; E. There are no units associated with the mean of the sampling distribution.
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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
Step-by-step explanation:
Coupon A
Unit price of fresh buns = [tex]\frac{\text{Total price}}{\text{Number of buns in a pack}}[/tex]
= [tex]\frac{3.24}{12}[/tex]
Unit Price = $0.27 per bun
Coupon B
Units price of fresh buns = [tex]\frac{4.5}{18}[/tex]
Unit Price = $0.25 per bun
Coupon with the better buy is Coupon B.
Coupon C
Unit price of hamburger meat = [tex]\frac{\text{Price}}{\text{Quantity}}[/tex]
= [tex]\frac{5.44}{16}[/tex]
= $0.34 per hamburger
Coupon D
Unit price = [tex]\frac{9.6}{24}[/tex]
= $0.40 per hamburger
Coupon with better buy is Coupon C.
(-2+6y+3x)(-3) distributive property to remove the parentheses
Answer:
6-18y-9x
Step-by-step explanation:
how do I decease 7 by 3%
Answer:
6.79
Step-by-step explanation:
First of all, you will have to know how much is 3% of 7 in order to decrease it by that amount.
7 x 0.03 = 0.21
Now that you know the amount, you can subtract it from seven and therefore you have decreased 7 by 3%.
7 - 0.21 = 6.79
Answer:
Percentage decrease = 7 × 3%
7 - Percentage decrease = 7-(3% x 7)= 7 - 3% x 7=7 x (1 - 3%)= (100% - 3%) × 7 = 97% x 7 = 679%
Solve for x in the following equation: 4(-5x-6) = 4(9x+4)
Answer:
[tex] - 20x - 6 = 36x + 4 \\ 36x + 20x = - 6 - 4 \\ 56x = - 10 \\ x = \frac{ - 10}{56} \\ x = - 0.17571428[/tex]
Please help, geometry homework. Answer true or false for the following statements. The ones that are marked “ T” or “ F “ are already done, if I am wrong, please let me know.
What percentage is 20 of 92?
Answer:
21.72% is correct answer
Answer:
18.4
Step-by-step explanation:
Multiply.
(2x + 4)(2x-4)
A. 4x2 + 16
B. 4x2 - 16
C. 4x2 + 16x-16
D. 4x2 - 16x-16
Answer:
B 4x^2-16
Step-by-step explanation:
The answer is 4x^2-16
Answer:
4x^2-16
hope it's helpful ❤❤❤❤
THANK YOU.
Item 1
Round 71.58043 to the nearest hundredth
Answer:
71.58
Step-by-step explanation:
1) (35 + 17) + 43 = 35+ (17 + 43)
Answer:
95?
Step-by-step explanation:
what is 900 * 158000
Answer:
142,200,000
Step-by-step explanation:
Used Calculator
Answer:
142200000
Step-by-step explanation:
It's a really long answer