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Nikolay [14]
1 year ago
13

Solve each given equation and show your work the whether each equation has one solution, an infinite number of solutions, or no

solution. Explain your answer.
2x+4(x-1)=2+4x
25-x=15-(3x+10)
4x=2x+2x+5(x-x)
Mathematics
1 answer:
Triss [41]1 year ago
8 0
2x+4x-4=2+4x
2x+4x-4x=2+4
2x=6
x=3

25-x=15-3x-10
3x-x= 15-10-25
2x= -20
x= -10

4x=2x+2x+5x-5x
2x+2x+5x-5x-4x
0 . no solution
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David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to
steposvetlana [31]

Answer:

  8 servings

Step-by-step explanation:

At the ratio of 15:1, the 75 grams of rice in one serving will require 75/15 = 5 g of spice. David's inventory of 40 g of spice is enough for ...

  40 g/(5 g/serving) = 8 servings

7 0
2 years ago
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A group of 10 students participate in chess club, karate club, or neither.
Afina-wow [57]

Total number of students = 10

As we have to find

P(A/B) = Probability( A when B has happend)

P(A/B)= P(A intersection B)/P(B)

According to given figure only yolanda and Rob are in both club


Therefore,P(A intersection B) =\frac{2}{10}

Number of student in karate club =6

P(B)= \frac{6}{10}

P(A/B) = \frac{2}{10}\div{\frac{6}{10}


Converting division into multiplication by reciprocating the term after division



P(A/B) = \frac{2}{10}\times{\frac{10}{6}



On solving we get ,


P(A/B) = \frac{2}{6}

P(A/B)=\frac{1}{3}


P(A/B) =0.33

8 1
2 years ago
Calculate the unpaid balance, finance charge, and new balance using the unpaid balance method. Note: interest rate is given as a
inn [45]
Unpaid balance 283.63-60=223.63
Finance charge
223.63*(0.015/12)=3.35
New balance
223.63+3.35+51.36==278.34
5 0
1 year ago
Members of a school club are buying matching shirts. They know at least 25 members will get a shirt. Long-sleeved shirts are $10
charle [14.2K]

Answer:

Maximum number of long sleeved shirt that can be purchase is, 8

and

Minimum number of long sleeved shirt that can be purchased is, 0

Step-by-step explanation:

let y represents the number of short sleeves  and x represents the number of long sleeves.

As per the given condition:

Members of a school club are buying matching shirts. They know at least 25 members will get a shirt.

we have;

x+y\geq 25              or

y\geq 25 -x    ....[1]

Since, long sleeves shirt are $ 10 each and short sleeves shirt are $ 5 each.

then;

Total cost of long sleeves is 10x and

the total cost of short sleeves is 5y

Also; the club can spend no more than $ 165

then;

10x+5y\leq 165                  

 5y\leq 165 -10x or

y\leq 33-2x ......[2]

Solving the inequality equation with the graph :

Plot equation [1] and [2]; we get the maximum at point (8 , 17)

so, x= 8.

If we take minimum value of x =0 then y is between 25 and 33.

so, the solution area is between the lines to the left of where the lines intersect.

Therefore, the maximum number of long sleeved shirts can be purchased is 8 and the minimum number of long sleeved shirt can be purchased is 0






6 0
2 years ago
Read 2 more answers
Use the box plots comparing the number of males and number of females attending the latest superhero movie each day for a month
Grace [21]
<h2>Answer with explanation:</h2>

A. For males, Third quartile =14, First quartile = 3   (approx)

IQR = Third quartile - First quartile

= 14-3 = 11

B. For males,  Median = 12

For females, Median = 17

The difference between the median values = 17-12=5

C. The mean would be a better measure of center for females because the data has no outliers.

The median would be a better measure of center for males because the data has outliers.

D. Reason for outlier:  A large number of males gone for movie which is extreme value for the remaining values.

8 0
1 year ago
Read 2 more answers
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