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pogonyaev
2 years ago
9

Peter mixes 4 1/2 cups of orange juice, 1 1/3 cups of ginger ale, and 6 1/3 cups of strawberry lemonade to make some punch. What

is the total number of cups of punch that peter makes?
Mathematics
2 answers:
ella [17]2 years ago
3 0
Just add them all:(FYI, I first converted all the mixed fraction to improper)
11/3+19/3= 30/3+9/2
Now take out the LCM,
60/6+27/6= 87/6
Hence, the total number of cups that peter makes is 87/6

fredd [130]2 years ago
3 0

Answer:

12\frac{1}{6} cups of punch

Step-by-step explanation:

Peter is making a punch. He mixes :

Orange juice  =  4\frac{1}{2} cups

Ginger ale   =    1\frac{1}{3}

Strawberry lemonade =  6\frac{1}{3}

Now we will add all the mixes

4\frac{1}{2} +  1\frac{1}{3} +  6\frac{1}{3}

Now first we convert all the mixed fractions to improper.

\frac{9}{2}+ \frac{4}{3}+ \frac{19}{3}

Now take LCM of 2,3,3 = 6

= \frac{27+8+38}{6}

= \frac{73}{6} =  12\frac{1}{6}

The total number of cups of puch that peter makes is  12\frac{1}{6}

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katrin2010 [14]

Answer:

-1.14

Step-by-step explanation:

The given information in statement is

mean=μ=69

standard deviation=σ=3.5

Let X be the Ishaan's exam score

X=65

The Z score can be computed as

z=\frac{x-mean}{standard deviation}

z=\frac{65-69}{3.5}

z=-1.1429

z=-1.14 (rounded to two decimal places).

Thus, the computed z-score for Ishaan's exam grade is -1.14.

4 0
2 years ago
What property describes the number sentence 6+0 = 6
zmey [24]
That is the Identity Property of Addition.
If it is adding and the whole number stays the same it is Identity Property of Addition.
If it is multiplying then it would be the Identity Property of Multipulcation. For example for this problem it would be 6x1 in multipulcation in which the whole number would stay the same.
Here are descriptions of all the properties:
https://wikis.engrade.com/mathproperties1

7 0
2 years ago
Read 2 more answers
An investment of $500 increases at a rate of 12.5% per year. What is the value of the investment after 30 years? Round to the ne
NemiM [27]
Here's the equation:
0.125(500) + 500
But because it is 30 years:
30(0.125(500)) + 500
3.75(500) + 500
We can make it simpler:
4.75(500)
2375
You will have $2375
7 0
2 years ago
Two bicyclists are 7/8 of the way through a mile long tunnel when a train approaches the closer end at 40 mph. The riders take o
Anastaziya [24]

Answer:

the cyclists rode at 35 mph

Step-by-step explanation:

Assuming that the cyclists stopped, and accelerated instantaneously at the same speed than before but in opposite direction , then

distance= speed*time

since the cyclists and the train reaches the end of the tunnel at the same time and denoting L as the length of the tunnel :

time = distance covered by cyclists / speed of cyclists = distance covered by train / speed of the train

thus denoting v as the speed of the cyclists :

7/8*L / v = L / 40 mph

v = 7/8 * 40 mph = 35 mph

v= 35 mph

thus the cyclists rode at 35 mph

6 0
2 years ago
Which graph represents the function f(x)=x4+4x3−12x2−32x+64?
sp2606 [1]

f(x)=x^4+4x^3-12x^2-32x+64

The degree of f(x) is 4. Also the leading coefficient is 1 and it is positive

So  as x approaches infinity then y approaches infinity

as x approaches -infinity then y approaches infinity

The first and fourth graph goes up and it satisfies the above . so we ignore the second and third graph.

Now we check the x intercepts of the first  graph

x intercepts of first graph is -4  and 2

Plug in -4 for x in f(x) and check whether we get 0

f(x)=x^4+4x^3-12x^2-32x+64

f(x)=(-4)^4+4(-4)^3-12(-4)^2-32(-4)+64=0

Now plug in 2 for x and check

f(x)=(2)^4+4(2)^3-12(2)^2-32(2)+64=0

So -4  and 2  are the x intercepts that satisfies f(x)

Hence first option is the graph of f(x)=x^4+4x^3-12x^2-32x+64





5 0
2 years ago
Read 2 more answers
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