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lozanna [386]
3 years ago
11

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


8 0
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.
8 0
4 years ago
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Divide (2x^2+x-45) by (x+5)​
Ugo [173]

Answer

2x-9

Step-by-step explanation:

3 0
3 years ago
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The top speed of a wildebeest is 64 km/h and the top speed of a zebra is 64.4 km/h. How much faster is a zebra in feet per secon
7nadin3 [17]
The first thing we must do is subtract both speeds.
 We have then:
 64.4 km / h - 64.0 km / h = 0.40 km / h
 We now change units taking into account the following conversions:
 1h = 3600s
 1km = 3280.84 feets
 We have then:
 0.40 * (3280.84 / 3600) = 0.364537778 feet / s
 Answer: 
 a zebra is faster 0.364537778 in feet per second
5 0
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

  1. There are n independent trial.
  2. Each trial have a success probability p
  3. 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
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