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3 years ago

To make four cakes, Dena used 6 cups of sugar. Using the same recipe, how much sugar does she need to make one cake?

Mathematics

2 answers:

Fantom [35]3 years ago

5 0

1.5 cups per cup. cups/cake
6 cups/ 4 cakes
= 1.5 cups per cake

shusha [124]3 years ago

5 0

Answer:

Step-by-step explanation:

So 4 cakes = 6 sugars, right so try taking it slow and think to yourself, 3=? then take it even slower until you go to 1=0.67 repeated

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Brainly use a matrix to find the solution to the system of equations -8x-8y=-16 6x-9y=-108

Mama L [17]

We want to use a matrix to solve
-8x - 8y = -16
6x - 9y = -108

Before solving, simplify the equations as follows:
Divide the first equation by -8 to obtain
x + y = 2 (1)
Divide the second equation by 3 to obtain
2x - 3y = -36 (2)

In matrix form, the equations are
$\begin{bmatrix}1&1\\2&-3\end{bmatrix} \begin{\bmatrix} x\\y\end{bmatrix}=\begin{bmatrix}2 \\ -36 \end{bmatrix}$

The determinant of the matrix is
D = (1)(-3) - (1)(2) = -5

Use Cramer's Rule.
$x = \frac{1}{D} det(\begin{bmatrix}2&1\\-36&-3 \end{bmatrix} ) = \frac{1}{-5} (-6+36) = -6$
Similalrly,
$y= \frac{1}{-5} det(\begin{bmatrix} 1&2\\2&-36\end{bmatrix} ) = \frac{1}{-5}(-36-4) =8$

Answer: (-6, 8) or x = -6, y = 8

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3 years ago

on an airplane there are two on the left side in each row and three seats on the right.There are 24 seats on the right side of t

vovikov84 [41]

Well three seats in the right with 24 seats means there is 8 rows. I assume the same for the left. So 2x8=16. Sixteen Seats on the left. This is my theory. Though options would be nice.

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4 years ago

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Divide (2x^2+x-45) by (x+5)

Ugo [173]

Answer

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Step-by-step explanation:

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3 years ago

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The first thing we must do is subtract both speeds.
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3 years ago

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Suppose that 75% of all trucks undergoing a brake inspection at a certain inspection facility pass the inspection. Consider grou

RSB [31]

Answer:

b) 0.2961

c) 0.2251

d) Mean = 11.25, Standard deviation = 1.667

Step-by-step explanation:

We are given the following information:

We treat trucks undergoing a brake inspection passin as a success.

P( trucks undergoing a brake inspection passes the test) = 75% = 0.75

a) Conditions for binomial probability distribution

There are n independent trial.
Each trial have a success probability p
The probability of success is same for all trials.

Then the number of trucks undergoing a brake inspection follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 15

b) P(proportion of groups will between 8 and 10 trucks pass the inspection)

We have to evaluate:

$P(8\leq x \leq 10) = P(x = 8) + P(x = 9) + P(x = 10)\\= \binom{15}{8}(0.75)^8(1-0.75)^7 + \binom{15}{9}(0.75)^9(1-0.75)^6 + \binom{15}{10}(0.75)^{10}(1-0.75)^5\\= 0.0393 + 0.0917 + 0.1651\\= 0.2961$

c) P( exactly 3 trucks fail the inspection)

p = 0.25

$P(x = 3)\\= \binom{15}{3}(0.25)^3(1-0.25)^{12}\\=0.2251$

d) Mean and standard deviation

$\mu = np = 15(0.75) = 11.25\\\sigma = \sqrt{np(1-p)} = \sqrt{15(0.75)(1-0.75)} = 1.667$

6 0

3 years ago

To make four cakes, Dena used 6 cups of sugar. Using the same recipe, how much sugar does she need to make one cake?​

To make four cakes, Dena used 6 cups of sugar. Using the same recipe, how much sugar does she need to make one cake?