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il63 [147K]
3 years ago
13

A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of mil

k should he use to keep the proportions correct
Mathematics
1 answer:
Alex Ar [27]3 years ago
6 0

Answer:

<h2>2.5cup of milk</h2>

Step-by-step explanation:

Step one:

we are told that the ratio of milk to flour is 1.5cups to 3 cups

in other words, to prepare cake we need 1.5 cup of milk and 3 cups of flour

if we use 5 cups of flour we can balance up using the relation below

      1.5cups of milk require 3 cups of flour

      x cups of milk require 5 cups of flour

cross multiply we have

x=1.5*5/3

x=7.5/3

x=2.5cup of milk

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2 divided by n equals negative 7
solniwko [45]

Answer:

n= 2/-7

Step-by-step explanation:

2/n = -7

Multiply by n: 2= -7n

Divide by -7: n= 2/-7, or n= -0.286

6 0
3 years ago
Use the formula d = rt to find the distance d a long distance runner can run at a rate of 9 1/2 miles per hour for time t or 1 3
LiRa [457]
D = (9 1/2) (1 3/4) D = 11 7/8 miles



7 0
3 years ago
The diameter of a particle of contamination (in micrometers) is modeled with the probability density function f(x)= 2/x^3 for x
RoseWind [281]

Answer:

a) 0.96

b) 0.016

c) 0.018

d) 0.982

e) x = 2

Step-by-step explanation:

We are given with the Probability density function f(x)= 2/x^3 where x > 1.

<em>Firstly we will calculate the general probability that of P(a < X < b) </em>

       P(a < X < b) =  \int_{a}^{b} \frac{2}{x^{3}} dx = 2\int_{a}^{b} x^{-3} dx

                            = 2[ \frac{x^{-3+1} }{-3+1}]^{b}_a   dx    { Because \int_{a}^{b} x^{n} dx = [ \frac{x^{n+1} }{n+1}]^{b}_a }

                            = 2[ \frac{x^{-2} }{-2}]^{b}_a = \frac{2}{-2} [ x^{-2} ]^{b}_a

                            = -1 [ b^{-2} - a^{-2}  ] = \frac{1}{a^{2} } - \frac{1}{b^{2} }

a) Now P(X < 5) = P(1 < X < 5)  {because x > 1 }

     Comparing with general probability we get,

     P(1 < X < 5) = \frac{1}{1^{2} } - \frac{1}{5^{2} } = 1 - \frac{1}{25} = 0.96 .

b) P(X > 8) = P(8 < X < ∞) = 1/8^{2} - 1/∞ = 1/64 - 0 = 0.016

c) P(6 < X < 10) = \frac{1}{6^{2} } - \frac{1}{10^{2} } = \frac{1}{36} - \frac{1}{100 } = 0.018 .

d) P(x < 6 or X > 10) = P(1 < X < 6) + P(10 < X < ∞)

                                = (\frac{1}{1^{2} } - \frac{1}{6^{2} }) + (1/10^{2} - 1/∞) = 1 - 1/36 + 1/100 + 0 = 0.982

e) We have to find x such that P(X < x) = 0.75 ;

               ⇒  P(1 < X < x) = 0.75

               ⇒  \frac{1}{1^{2} } - \frac{1}{x^{2} } = 0.75

               ⇒  \frac{1} {x^{2} } = 1 - 0.75 = 0.25

               ⇒  x^{2} = \frac{1}{0.25}   ⇒ x^{2} = 4 ⇒ x = 2  

Therefore, value of x such that P(X < x) = 0.75 is 2.

8 0
3 years ago
The quadratic function y = –10x2 + 160x – 430 models a store’s daily profit (y) for selling a T-shirt priced at x dollars. What
asambeis [7]

Answer:

x = 4 or x = 12

Step-by-step explanation:

Given:

y = -10x² + 160x - 430

When y = $50

50 = -10x² + 160x - 430

50 + 430 = -10x² + 160x

480 = -10x² + 160x

-10x² + 160x - 480 = 0

Divide through by -10

x² - 16x + 48 = 0

Solve the quadratic equation using factorization method

+48 = -12 × -4

-16 = -12 -4

Therefore,

-12 and -4 are both factors

x² - 16x + 48 = 0

(x - 4 )(x - 12 ) = 0

x - 4 = 0

x = 4

OR

x - 12 = 0

x = 12

6 0
4 years ago
Of the 1184 students who attend utopia middle school, 12.5% walk to school. How many students walk to school?
Bingel [31]
Do 1184 x 12.5%
Which is 148.
7 0
3 years ago
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