The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $3157 to rent trucks plus an additional fee of $50.25 for each ton of sugar. The second company does not charge to rent trucks but charges $275.75 for each ton of sugar.

For what amount of sugar do the two companies charge the same?

What is the cost when the two companies charge the same?

Answer:

Hi! The answer to this question is 9.10

Step-by-step explanation:

All of the Items added up equals 9.10

Answer:I thought it was 4.34 but its 9.10

Step-by-step explanation:

The algebraic expression for '3 less than twice the sum of a number and 4' where x is the unknown number is

'2(x + 4) - 3'.

The algebraic expression for the verbal statement "3 less than twice the sum of a number and 4" can be written as follows:

First, let's represent the unknown number by x. The phrase 'the sum of a number and 4' translates to x + 4. 'Twice this sum' means we multiply the expression by 2, resulting in 2(x + 4). Finally, '3 less than' indicates that we need to subtract 3 from this expression. Therefore, the complete algebraic expression is 2(x + 4) - 3.

The range of the first relation is {-5, -4, 2}, and the domain of the second relation is {-1, 1, 3}.

The range of a relation is the set of all second elements in each ordered pair. For the relation R = {(3, -5), (1, 2), (-1, -4), (-1, 2)}, the range is the set of second elements {-5, 2, -4, 2}. When we list the unique values, we get the range as {-5,-4, 2}.

The domain of a relation consists of all the first elements in each ordered pair. Given the relation R = {(3, -2), (1, 2), (-1, -4), (-1, 2)}, the domain is the set of first elements {3, 1, -1, -1}. The domain with unique values is {-1, 1, 3}.

Answer:3/28

Step-by-step explanation:

The probability that the first person chosen has a license and the second one does not is 15/56

A probability is a number that reflects the chance or likelihood that a particular event will occur.

Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

Given that, there are 8 people fishing at lake 5 have fishing licenses, and 3 do not. An inspector chooses two of the people at random. we need to find the probability that the first person chosen has a license and the second one does not

Let us consider the possibility of the first person not having a license, which is:

3/7

Now, after a person has been chosen, there will be 7 people remaining. Assuming that the first person chosen did not have a license, there will be 2 people left in the group without a license.

So, the probability of choosing a person without a license the second time will be:

3/7

In probability, when two events occur together (the word "and" is used), multiplication is carried out.

Therefore, we multiply the two probabilities to get:

5/8 x 3/7 = 15/56

Hence, The probability of choosing two people without a license is 15/56

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Answer:

$347.6

Step-by-step explanation:

The computer cost $1250. If Gary made a down paymnet of $150, $1100 is left to be paid. The financial cost per month is $48.25. For two and a half years this amount must be multiplied by the number of months. In two and a half years there is:

[tex]=12+12g+6=30[/tex]

30 months. Gary pays

[tex]=30\cdot{48.25}=1447.5[/tex]

$1447.5 for 30 months. The original amount was $1250. Cary pays a total of:

[tex]=150+1447.6=1597.6[/tex]

The financial change is:

[tex]1597.6-1250=347.6[/tex]

Escape peas. It is a joke (cause someone to laugh/cause amusement), an example of a joke in English. Jokes are popular because children learn them. Jokes can be an element of mood change for adults. The peas mean the "green" and the escape is related to the "famous for running away from jail" part.

The required formula is  y = 6x e⁻ˣ for a function of the form y=bxe^−ax with the local maximum at (1,2.2073).

A function curve has peaks known as maxima. There can be an unlimited number of peaks.

The given function of the form as:

y = bxe⁻ᵃˣ   y' = be⁻ᵃˣ  (1-ax)

Plug point (x,y) = (1, 2.2073) into equation:  2.2073 = 6be⁻ᵃ

Now plug in y' = 0 at the same x value:  0 = be-6ᵃ(1-6a) or a = 1

and y' = be⁻ᵃ(-a + 1) = 0  giving a = 1

From first equation  2.2073 = b e⁻¹ so b = 2.2073e =  6

So the required formula is  y = 6x e⁻ˣ

To find b, plug an into the first equation. The sign of the first derivative shifts from + to -, indicating that it is a maximum critical point.

You may graph the equation using your constants and observe that the point (1, 2.2073) is the maximum.

Therefore, the required formula is  y = 6x e⁻ˣ.

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Solution:

Distance between Ruth House and Ruth Friend House =20 Meter north and 100 meter east of Ruth

Now , Ruth Starts Driving,

but after 70 mi she comes to a detour that takes her 15 mi south before going east again. she then drives east for 8 mi and runs out of gas.

The Diagram of Ruth Driving is depicted below.

Now , when ward flies in small plane to get Ruth,

So, Distance between Ruth and Ward , when Ruth is at Point S=SM

In Right Δ SVM, By Using Pythagoras theorem

SM²=SV² + VM²

DT=VS=15 m

VM=100 - (70+8)

     = 100 -78

     =22 meter

SM²=(15)² + (22)²

       = 225 + 484

       = 709

[tex]SM=\sqrt{709}=26.62[/tex]

So, Ward has to travel 26.62 miles east north to reach Ruth.

The registration fee for a used car is 0.8% of the sale price of $5,700 as a result the registration fee is $ 45.60.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

It is given that the registration fee for a used car is 0.8% of the sale price of $5,700,

The value of the registration fee is found as,

Registration fee = 0.8% of $5,700

Registration fee = (0.8/100) × $5,700

Registration fee = $ 45.6

Thus, the registration fee for a used car is 0.8% of the sale price of $5,700 as a result the registration fee is $ 45.60.

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The detailed answer provides a step-by-step explanation of how to express the length of Charlie's shadow as a function of time based on his movement away from a streetlight.

Length of Shadow as a Function of Time:

Express s as a function of time: s(t) = (h * d) / (d + rt), where r is Charlie's rate of movement away from the streetlight.

To simplify the expression (3b^3)^4, raise the base to the fourth power and simplify the exponent.

To simplify the expression (3b^3)^4, we need to raise the base, 3b^3, to the fourth power. This can be done by multiplying the exponents. The result is 3^4 * (b^3)^4, which simplifies to 81b^12.

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Answer:

x=7.

Step-by-step explanation:

To solve this you just hace to clear x from the equation and multipliead the other part of the equation by -84:

[tex]\frac{-6}{7} =\frac{-x}{84} \\x=\frac{6*-84}{7} \\x=\frac{504}{7}\\ x= 72[/tex]

So we know that the value of x in the equation will be 72,

To write 5 - 2y = 3x in standard form, you rearrange it to Ax + By = C, resulting in the equation 3x - 2y = -5, which is in standard form as requested.

To write the equation 5 - 2y = 3x in standard form, you want to arrange it to Ax + By = C, where A, B, and C are integers, and A should not be negative. Here's how you can do it:

Thus, the standard form of the equation is 3x - 2y = -5.

The t-test is a statistical test used to compare the means of two samples. The t-score, which represents the standardised difference between group means, and the p-value, which gives the probability of observing the data given the null hypothesis, are key components of the t-test result interpretation. A small p-value (typically less than 0.05) typically leads to rejection of the null hypothesis.

The t-test is a statistical measure used in hypothesis testing to analyze the difference between two sample means. Key to proper interpretation of its results is understanding the test statistic, otherwise known as the t-score, and the p-value.

The t-score is calculated by subtracting one measure from the other and dividing by the standard error to standardize the difference. A large absolute value of the t-score indicates a larger difference between the groups being compared. The t-distribution, which the t-score follows, depends on the sample size (n) and has n - 1 degrees of freedom.

The p-value, usually calculated using technology, is the probability that you would observe the given t-score (or one more extreme) if the null hypothesis was true. It corresponds to the combined area in both tails of the t-distribution. If the p-value is small (typically less than 0.05), this suggests the differences you observed are statistically significant, and you would reject the null hypothesis.

When comparing the results, note that 95 percent of all confidence intervals constructed in this way contain the true value of the population mean statistic.

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multiply speed by time to get distance

70 *8.5 = 595 miles