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kozerog [31]
3 years ago
14

Susan has 3 lists, each with 10 numbers. If there are 4 numbers on all three lists and 5 numbers on exactly 2 lists, how many nu

mbers belong to just one list?
Mathematics
1 answer:
VikaD [51]3 years ago
6 0

Answer:

Susan has 8 numbers belonging to just one list.

Step-by-step explanation:

Susan's 3 lists have 10 numbers each = 10 x 3 =  30 numbers

4 numbers appear on all three lists = 4 x 3 = 12 numbers

The remaining numbers after these 12 = 18 (30 -12)

Then, there are 5 numbers on 2 lists only = 5 x 2 = 10 numbers

The numbers on just one list = 18 - 10 = 8 numbers

Or

                                    List 1     List 2    List 3   Total

Numbers on each list    10           10         10      30

Numbers on 3 lists        -4           -4         -4        12

Numbers on 2 lists        -5           -5        -0        10

Numbers on 1 list only    1             1          6         8

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Frazer scores 70% in a spelling test with 20 questions. How many did he get right? Show me your work.
ladessa [460]
Fraser got 14 questions right

questions correct 70/5 = 14
—— ——
total questions 100/5 = 20

therefore he got 14 questions right

you divide 100 by 5 because percents are always out of 100 and that gets you 20 which is how many questions the spelling bee had

then you do the same to the top (divide by 5) and get 14

14/20 questions were answered right
70% of the questions were correct
4 0
3 years ago
a physician orders aminophylline 7.5 mg per kg of body weight. the patient weighs 110 lb. if aminophylline is available in 0.125
Harman [31]

Answer:

The patient will receive 2 whole tablets.

Step-by-step explanation:

The total weight of the drug to be administered can be expressed as;

Total dose of aminophylline to be administered=Dose per weight of patient×weight of patient

where;

Dose per weight of patient=7.5 mg per kg

weight of patient=110 lb

1 kilogram=2.205 lb

weight of patient in kilograms=110/2.205=49.89 kilograms

replacing;

Total dose of aminophylline to be administered=Dose per weight of patient×weight of patient

Total dose of aminophylline to be administered=(7.5×49.89)=374.175 mg

Total weight of tablets=374.175 mg

Total weight of tablets=weight per tablet×number of tablets

where;

Total weight of tablets=374.175 mg

Weight per tablet=0.125 g

1 gram=1000 mg

Weight per tablet in mg=(1,000×0.125)=125 mg

Number of tablets=n

replacing;

Total weight of tablets=weight per tablet×number of tablets

374.175=125×n

n=374.175/125

n=2.9934

The patient will receive 2 whole tablets.

7 0
3 years ago
8-2b=-2/3(12b+6) solve
Natalija [7]
We have to mutiply factor -2/3 times every agument from the parenthesis.
8-2b=- \frac{2*12b}{3}- \frac{2*6}{3}   \\ 8-2b= -8b-4 \\     /+8b
8+6b=-4         /-8
6b=-12         /:6
b=-2 - its the answer
7 0
3 years ago
Read 2 more answers
What is the equation of the line passing through the points (3,6) and (2,10)
andrezito [222]

Answer: y= - 4x+18

Step-by-step explanation:

Equation: y=mx+b

***remember: b is the y-intercept and m is the slope.

m=\frac{y2-y1}{x2-x1}

3= x1

2= x2

6= y1

10=y2

m=\frac{10-6}{2-3}= \frac{4}{1}= -4

m=-4

Now we have y=-4x+b , so let's find b.

You can use either (x,y) such as (3,6) or (2,10) point you want..the answer will be the same:

   (3,6). y=mx+b or 6=-4 × 3+b, or solving for b: b=6-(-4)(3). b=18.

   (2,10). y=mx+b or 10=-4 × 2+b, or solving for b: b=10-(-4)(2). b=18.

Equation of the line: y=-4x+18

3 0
3 years ago
Which equation has a graph that is a parabola with a vertex at (–2, 0)?
MaRussiya [10]

Answer:

The vertex of a quadratic equation corresponds to the point where the maximum or minimum value is located.

If the function has a positive leading coefficient, the vertex corresponds to the minimum value.

If it has a negative leading coefficient,  the vertex corresponds to the maximum valuevalue

If the vertex is located at

(–2, 0)

The possibilities are

y =  (x-2)^2

or,

y = - (x-2)^2

Since the problem tells us the answer, we adopt the positive values

Answer:

y =  (x-2)^2

See attached picture

6 0
3 years ago
Read 2 more answers
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