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tatiyna
3 years ago
7

Otto used 6 cups of whole wheat flour and x cups of white flour in the recipe. What is the equation that can be used to find the

value of y, the total amount of flour that Otto used in the recipe, and what are the constraints on the values of x and y?
Mathematics
2 answers:
Ksju [112]3 years ago
4 0
Y = x + 6

y has to be greater than or equal to 6
x has to be greater than or equal to 0
Nady [450]3 years ago
3 0

Answer:

y=x+6

x \geq 0 and y\geq0

Step-by-step explanation:

We are given that Otto used 6 cups of whole wheat flour .

Otto used x cups of white flour in the recipe.

We have to find an equation that can be used to find the value of y which is total amount of flour that Otto used in the recipe and find the constraints on the values of x and y.

Number of cups of whole wheat flour=6

Number of cups of white flour=x

Total number of flour used by Otto=x+6

The equation that can be used to find the value of y

y=x+6

We know that quantity is always greater than zero or equal to zero.

Therefore, constraints on the value of x and y is given by

x \geq 0 and y\geq0

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Determine whether the relation represents a function. State the domain and range of the relation.
zaharov [31]

Answer:

  • It is a function
  • Domain: {-4, -2, 1, 5}
  • Range: {-9, -7, -4, 5}

Step-by-step explanation:

A function is defined so that for each input (known as the domain), there is no more than one output (known as the range).

5 0
2 years ago
Theo earns a base salary plus commission. At the end of September, he was paid $3,835.25 based on his monthly sales of $12,850.
hodyreva [135]

Theo's base salary  using a simultaneous equation approach is $2,996.22 .

In order to determine the base salary of Theo, we can express the two earnings and sales amounts using simultaneous equation, that we would solve to arrive at the base salary

Bear in mind that total earnings are determined as base salary plus commission

Let X be the base salary

Let R be the rate of commission

commission =sales*rate of commission

When earnings were $3,835.25 and sales is $12,850, we have the below equation:

X+(12,850*R)=3,835.25

X+12850R=3,835.25  .................... equation (1)

When earnings were $3,641 and sales is $9,875, we have the below equation:

X+(9,875*R)=3641

X+9875R=3641 .........................  equation (2)

subtract equation 2 from 1

2975R=194.25

R=194.25/2975

R=commission rate=6.52941176470588%

substitute for R in equation 1 to arrive at X(base salary)

X+(12850*6.52941176470588%)=3,835.25

X=3,835.25-(12850*6.52941176470588%)

X=base salary=$2,996.22

Find further guide on simultaneous equation in the link below:

brainly.com/question/6597041

#SPJ1

7 0
2 years ago
A manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly.
denpristay [2]

Answer:

We conclude that the population mean light bulb life is at least 500 hours at the significance level of 0.01.

Step-by-step explanation:

We are given that a manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly. The population standard deviation is 50 hours and the light bulb life is normally distributed.

You select a sample of 100 light bulbs and find mean bulb life is 490 hours.

Let \mu = <u><em>population mean light bulb life.</em></u>

So, Null Hypothesis, H_0 : \mu \geq 500 hours      {means that the population mean light bulb life is at least 500 hours}

Alternate Hypothesis, H_A : \mu < 500 hours     {means that the population mean light bulb life is below 500 hours}

The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;

                           T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean bulb life = 490 hours

           σ = population standard deviation = 50 hours

           n = sample of light bulbs = 100

So, <u><em>the test statistics</em></u>  =  \frac{490-500}{\frac{50}{\sqrt{100} } }

                                     =  -2

The value of z test statistics is -2.

<u>Now, at 0.01 significance level the z table gives critical value of -2.33 for left-tailed test.</u>

Since our test statistic is higher than the critical value of z as -2 > -2.33, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis.</u>

Therefore, we conclude that the population mean light bulb life is at least 500 hours.

7 0
3 years ago
F(x) =2x + 5 and g(x)=5, find(fg)(x)
irakobra [83]

Answer: C) 10x + 25

<u>Step-by-step explanation:</u>

f(x) = <u> 2x + 5 </u>,  g(x) = <u> 5 </u>

(fg)(x) = (2x + 5) * 5

         = 10x + 25

5 0
2 years ago
Solve using the quadratic formula or factoring ... 5=6x^2 + 13x
FromTheMoon [43]

Answer:

x = \frac{-5}{2} <u><em>or  </em></u>x = \frac{-1}{3}

Step-by-step explanation:

5 − 6 2 − 1 3 = 0

− 6 2 − 1 3 + 5 = 0 -6x^2-13x+5=0 −6x2−13x+5=0 − 1

( 6 2 + 1 3 − 5 ) = 0

7 0
3 years ago
Read 2 more answers
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