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alex41 [277]
3 years ago
7

The total capacity of two large cups and two small cups is 1,500 milliliters. If the total capacity of one large cup and two sma

ll cups is 1,000 milliliters, what is the capacity of a small cup?
A. 375 milliliters
B. 200 milliliters
C. 500 milliliters
D. 250 milliliters
Mathematics
1 answer:
MissTica3 years ago
8 0

Answer:

The correct answer is option D. 250 milliliters

Step-by-step explanation:

It is given that, the  total capacity of two large cups and two small cups is 1,500 milliliters. If the total capacity of one large cup and two small cups is 1,000 milliliters.

<u>To find the capacity of a small cup</u>

Let small cup capacity  be 's' and large cup capacity be 'l'

From the given information we can write,

2l + 2s = 1500

Then l + s = 750

one large cup and two small cups is 1,000 milliliters.

l + 2s = 1000

l + s + s = 1000

(l + s) + s = 1000

750 + s = 1000

s = 1000 - 750 = 250

The correct answer is option D. 250 milliliters

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salantis [7]

Answer:

2(Jill) - 20 + (Jill) = 205

3(Jill) = 225

(Jill) = 75

(Jack) = 2(75) - 20 => 150 - 20 = 130

Jill= 75

Jack= 130

Step-by-step explanation:

6 0
3 years ago
19. which one of the following is not equal to the rest? a 2% of 150 b. % of 400 b 3 c. 6% of 60 d. 69 of 50​
Irina18 [472]

Answer:

i think it's c

Step-by-step explanation:

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5 0
3 years ago
9.4 The heights of a random sample of 50 college stu- dents showed a mean of 174.5 centimeters and a stan- dard deviation of 6.9
gladu [14]

Answer:  a) (176.76,172.24), b) 0.976.

Step-by-step explanation:

Since we have given that

Mean height  = 174.5 cm

Standard deviation = 6.9 cm

n = 50

we need to find the 98% confidence interval.

So, z = 2.326

(a) Construct a 98% confidence interval for the mean height of all college students.

x\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=(174.5\pm 2.326\times \dfrac{6.9}{\sqrt{50}})\\\\=(174.5+2.26,174.5-2.26)\\\\=(176.76,172.24)

(b) What can we assert with 98% confidence about the possible size of our error if we estimate the mean height of all college students to be 174.5 centime- ters?

Error would be

\dfrac{\sigma}{\sqrt{n}}\\\\=\dfrac{6.9}{\sqrt{50}}\\\\=0.976

Hence, a) (176.76,172.24), b) 0.976.

8 0
3 years ago
Freddy’s savings account went from $520 to $321 after he purchased a new bike. What was the percent decrease?
Vinil7 [7]

Step-by-step explanation:

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so bike cost $199

then 520%×199= 1034.8

or 520%×321=1669.2

so the  percentage is 1669.2 or 1034.8 probably 1669.2 but they bot count.

5 0
3 years ago
Given the trinomial 2x*2 + 4x + 4, predict the type of solutions. a. Two rational solutions b. One rational solution c. Two irra
OverLord2011 [107]

Answer:

d. Two complex solutions

Step-by-step explanation:

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We will use discriminant formula to solve for our given problem.

\text{Discriminant}=b^2-4ac, where,

a =\text{Coefficient of }x^2,

b =\text{Coefficient of }x,

c =\text{Constant }

Conclusion from the result of Discriminant are:

D

D=0\text{ means one real zero with of multiplicity two}

D>0\text{ means two distinct zeroes}

Upon substituting our given values in above formula we will get,

\text{Discriminant}=4^2-4*2*4

\text{Discriminant}=16-32

\text{Discriminant}=-16

Since our discriminant is less than zero, therefore, out given trinomial will have two complex solutions and option d is the correct choice.

3 0
3 years ago
Read 2 more answers
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