1) 2x – y = 1
2x +2y = 10


2) 5x – y =15

x + y = -3


please do both of these with explanation!!

The ordered pair (6,8) represents the number of calls made after the customer service center opened for 6 hours.

Given that the volume of calls, V( h), at a particular customer service center can be written as a function of the number of hours after opening each day, h. So, (6,8) means that the center has been opened for 6 hours and that there have been 8 calls during this period. It represents the value of the volume of calls V(6) which is 8. Therefore, after opening the customer service center for 6 hours, 8 calls were made.

This function has a direct relationship between the number of hours after opening the center and the number of calls made. Therefore, the longer the center is open, the more calls are expected to be received, and vice versa.

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Answer: Both B and C

Step-by-step explanation:

Answer:

It is a right triangle

Step-by-step explanation:

Answer:

Shelf A = $6 ;Shelf y = $4

Step-by-step explanation:

Let :

x = cost of items from shelf A

y = cost of items from shelf B

3x + 2y = 26 - - - - (1)

2x + 5y = 32 - - - - (11)

Using elimination method :

Multiply (1) by 2 and (11) by 3

6x + 4y = 52 - - - (111)

6x + 15y = 96 - - - (1V)

Subtract (1V) from (111)

-11y = - 44

y = 44/ 11 ; y = 4

Put y = 4 in (1)

3x + 2(4) = 26

3x + 8 = 26

3x = 26 - 8

3x = 18

x = 18 / 3

x = 6

You can use those variables specified to make symbolic relation between the cost and number of items. Then you can use any of the methods to solve the obtained system of equations.

The cost of items from shelf A is x = $6

The cost of items from shelf B is y = $4

Given that:

x represents the cost of an item from shelf A

y represents the cost of an item from shelf B

From given data, we have:

\(3 \times x + 2 \times y = \$26\\ 2 \times x + 5 \times y = \$32\)

Or, we get the system of equations as:

\(3x + 2y =26\\ 2x + 5y = 32\)

\(3x + 2y = 26\\ 2y = 26 - 3x\\ y = \dfrac{26-3x}{2} = 13 - 1.5x\)

Substituting this value of y in second equation, we get:

\(2x + 5y = 32\\ 2x + 5(13-1.5x) = 32\\ 2x - 7.5x + 65 = 32\\ -5.5x = -65 + 32\\ 5.5x = 33\\\\ x = \dfrac{33}{5.5}\\\\ x = 6\)

Using this value of x, we get:

\(y = 13 - 1.5x\\ y =13 - 1.5 \times 6\\ y = 13 - 9 = 4\)

Thus, we have:

The cost of items from shelf A is x = $6

The cost of items from shelf B is y = $4

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Answer:

w/2 = 7.5/5

3kg

Step-by-step explanation:

Remaining question below:

Which proportion could Maddy use to model this situation?

a. w/2 = 7.5/5

b. w/7.5 = 5/2

Solve the proportion to determine the weight of a 2 liter jug.

_____kg

5 liters jug of sport drink weighs 7.5kg

2 liters jug of sport drink will weigh x kg

Find w

Ratio of weight to volume

7.5kg : 5liters=7.5/5

wkg : 2 liters=w/2

Equates the ratio

7.5 / 5 = w / 2

Cross product

7.5*2=5*w

15=5w

Divide both sides by 5

3=w

w=3kg

Therefore, weight of the 2liters jug of sport drink is 3kg

Answer:

The answer is 3kg!

Step-by-step explanation:

The phrase is:

The product of n and 7 -- means multiplication of 7 and n. That is:

7*n

or,

7n

Then it is said, THAT product (7n) is DIVIDED by 16, so we have:

(7n) Divided by 16

Or,

Answer:

  2 2/3 teaspoons

Step-by-step explanation:

When scaling a recipe up or down, we like to keep the same proportions of ingredients. The proportion can be written ...

  x/(1/2) = (4)/(3/4) . . . . . larger recipe/smaller recipe

  x = (1/2)(16/3) = 8/3 . . . teaspoons salt

The amount of salt needed is 2 2/3 teaspoons.

_____

Additional comment:

We have chosen to write the proportion above in terms of ratios of same ingredients. You can also write the proportion in terms of different ingredients:

 (1/2 tsp salt) : (3/4 c sugar) = (1/2)/(3/4) tsp/cup = 2/3 tsp/cup

where the tsp is the measure of salt, and cup is the measure of sugar. Then for 4 cups sugar, you need ...

  (2/3 tsp/cup)(4 cups) = 8/3 tsp . . . of salt

Answer: 3360 ft squared

Step-by-step explanation:

Short side : 30 x 14 = 420

Long side 30 x 3 x 14 = 1260

420 + 420 + 1260 + 1260 =  3360

pls give brainliest

have a nice day

Area of shorter side

Area of longer sides

Total Lateral surface area

Renark:-

The general LSA formula of cuboid can also be used to solve

In the Histogram the horizontal line (dimension) represents the value of the selected collection plan element. The vertical line (dimension) represents the count or sum of occurrences of the primary collection element on the horizontal line.

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As the number of degrees of freedom for a t-distribution increases, the difference between the t-distribution and the standard normal distribution (b) becomes smaller.

As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution becomes smaller. This is because as the degrees of freedom increase, the t distribution approaches the normal distribution in shape and becomes more concentrated around the mean. Therefore, the t distribution becomes more similar to the standard normal distribution, which has a mean of 0 and a standard deviation of 1. So, the correct answer is b. becomes smaller.

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Answer:

a = 17 sqrt(2)

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opposite / hypotenuse

sin 45 = 17/a

Multiply each side by a

a sin 45 = 17

Divide each side by sin 45

a = 17 / sin 45

a = 17 / ( 1 / sqrt(2))

a = 17 sqrt(2)

Scout says the class is suspicious of their first-grade teacher, Miss Caroline Fisher, because she comes from a county in North Alabama that supported the secession of the Confederate States from the Union during the Civil War.

The secession of the Confederate States from the Union during the Civil War refers to the act of Southern states, including Alabama, separating from the United States in order to form their own independent nation. Scout's statement suggests that Miss Caroline Fisher comes from a county in North Alabama that actively supported this secession.

During the Civil War, Alabama was a Confederate state, meaning it sided with the Southern states that seceded from the Union. Many counties within Alabama showed support for the Confederate cause and were known for their allegiance to the Confederacy.

Scout's statement implies that the class views Miss Caroline Fisher's background from a county in North Alabama as a reason for suspicion. The historical context of the Civil War and the divide between the Union and Confederate states likely contribute to the class's skepticism or concern regarding their teacher's origins and potential biases.

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The prosecutor claims that there is a 1% chance that the defendant would have the crime blood type if he were innocent, and thus, there is a 99% chance that he is guilty.

This is a fallacy known as the prosecutor's fallacy.The prosecutor's fallacy is an error in statistical reasoning that occurs when the probability of an event occurring given a particular hypothesis is incorrectly equated with the probability of the hypothesis given the event.

It is a common mistake in legal proceedings and forensic science.According to the prosecutor's argument, the probability of the defendant being innocent given the blood evidence is only 1%, while the probability of him being guilty is 99%. This argument is invalid because it equates the conditional probability of the hypothesis (the defendant being innocent or guilty) given the evidence with the inverse probability of the evidence given the hypothesis.

In other words, the prosecutor has taken the likelihood of observing the blood evidence given that the defendant is innocent and used it as evidence that the defendant is guilty. This is a logical fallacy, as it fails to take into account other factors that could account for the presence of the blood evidence and ignores the possibility that the defendant may be innocent. Therefore, the prosecutor's argument is wrong, and his conclusion that the defendant is guilty cannot be justified by the evidence.

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5 is the correct value using Mathematical operations of the given expression.

To evaluate the expression ||13| - |14 - 6||, we need to follow the order of operations and simplify it step by step.

The absolute value function can also be understood geometrically as the distance between a number and zero on the number line. Regardless of whether the number is positive or negative, its distance from zero is always positive is a Mathematical operations.

First, let's evaluate the innermost absolute values:

|13| = 13

|14 - 6| = |8| = 8

Now, substitute these values back into the expression:

||13| - |14 - 6|| = ||13 - 8||

Next, evaluate the remaining absolute value:

|13 - 8| = |5| = 5

Therefore, the final result is 5.

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Answer:

.35 < 38% < 3/5

Step-by-step explanation:

.35 is the same as 35 percent which is less than 38, and 3/5 when divides is .60 turned into percent is 60 percent

The 21 square root of 98 divided by 7 square root of 21 = 21√98 / 7√21 = 6.4807407

A square root of a number x is a number y such that y2 = x; in other words, a number y who's square and the result of multiplying the number by itself, or y ⋅ y, is x.

Every nonnegative real number x has a unique nonnegative square root, called the principal square root, which is denoted by √where the symbol √ is called the radical sign.

Every positive number x has two square roots: √ which is positive, and -√ which is negative. The two roots can be written more concisely using the ± although the principal square root of a positive number is only one of its two square roots, the designation "the square root" is often used to refer to the principal square root.

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Answer:

SI = 2052.61 ft

Step-by-step explanation:

cos 13 = 2000/SI

0.9744 = 2000/SI

multiply both sides by SI:

(SI)(0.9744) = 2000

divide both sides by 0.9744:

SI = 2052.61 ft

Balancing uses a series of accounting entries to ensure that the total debits equal the total credits in a financial transaction.

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Answer:

Neither; they are not parallel, nor perpendicular.

If the cost for 10 ounce of organic blueberry is $2. 70, the cost of 30 ounce of organic blueberry is represented by the equation x = 20y + 2.70 where y is the cost in dollars for one ounce of organic blueberry.

As x is the cost in dollar for 30 ounce of organic blueberry. For y is the cost in dollars for one ounce of organic blueberry, then

x = 30y + c

where c is the fixed cost

We know for 10 ounce of organic blueberry it costs $2.70. That is

2.70 = 10y + c

c = 2.70 - 10y

So x = 30y + 2.70 - 10y

x = 20y + 2.70

-- The question is incomplete, the complete question is as follows--

"The cost for 10 ounce of organic blueberry is $2. 70 which equation can be used to determine x the cost in dollars, for 30 ounces of organic blueberries.?"

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Answer:

So the answer is the third one,y=2

Answer:

3rd option:  2

Step-by-step explanation:

edgen2020

Answer:

y = -7x + 3

Step-by-step explanation:

To find the slope intercept equation, isolate y, to put the equation in y = mx + b form

7x = -y + 3

7x - 3 = -y

Rearrange the equation:

-y = 7x - 3

Divide each side by -1:

y = -7x + 3

So, the slope intercept equation is y = -7x + 3

Answer:

y = -7x + 3

I think that's how that goes. I don't remember this stuff too well.

Answer:

B

Step-by-step explanation:

:))

By congruence of triangles ACB and DCE, we get the value of x as 3.5.

Two triangles are said to be congruent if all sides and all angles of one triangle is equal to the same sides and same angles of another triangle.

It is represented as ≅.

Various methods to verify the congruence of triangles are

1. SAS: Side Angle Side

2. SSS: Side Side Side

3. ASA: Angle Side Angle

4. AAS: Angle Angle Side

So, in this question ΔACB ≅ ΔDCE (Given)

That means, ∠CDE = ∠ABC

i.e. 2x = 61

x = 61/2 = 3.5

Hence, the required answer is 3.5.

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Check the picture below.

so we're really looking for the equation of the red line hmmm, so hmmm is a bisector, that means it passes through the midpoint of that segment, so

\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{7}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{9}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -1 +7}{2}~~~ ,~~~ \cfrac{ 9 +5}{2} \right) \implies \left(\cfrac{ 6 }{2}~~~ ,~~~ \cfrac{ 14 }{2} \right)\implies (3~~,~~7)\)

now, hmmm keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the segment above

\((\stackrel{x_1}{7}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{9}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{9}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{7}}} \implies \cfrac{4}{-8}\implies -\cfrac{1}{2}\)

now let's find the slope of a perpendicular to that one

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-1}{2}} ~\hfill \stackrel{reciprocal}{\cfrac{2}{-1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{2}{-1}\implies 2}}\)

so, we're really looking for the equation of a line that passes through the midpoint (3 , 7) and that it has a slope of 2

\((\stackrel{x_1}{3}~,~\stackrel{y_1}{7})\hspace{10em} \stackrel{slope}{m} ~=~ 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7}=\stackrel{m}{ 2}(x-\stackrel{x_1}{3}) \\\\\\ y-7=2x-6\implies {\LARGE \begin{array}{llll} y=2x+1 \end{array}}\)

Answer:

1 : 4 minutes.

Step-by-step explanation:

Given: 15 minutes / 1 hour.

First convert 1 hour to minutes:

1 hour = 60 minutes

Then write the fraction:

15 : 60

Finally, simplify it:

1 : 4 minutes

Answer:

2

Step-by-step explanation:

The measure of angle ABC is given as follows:

m < ABC = 145º.

Two angles are defined as supplementary angles when the sum of their measures is of 180º.

In a parallelogram, we have that the opposite angles are supplementary.

The opposite angles for this problem are given as follows:

Hence the measure of angle ABC is given as follows:

m < ABC + 35º = 180º.

m < ABC = 145º.

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