Find x Round your answer to the nearest tenth of a degree 21 and 10

Answer:

6364 cases

6364 bottles are left

Step-by-step explanation:

From the question, we are given the following

Total bottles of water = 8500bottles

Total cases filled = 2136cases

Required

Number of cases Jane can film with the remaining bottle.

Number of cases Jane can fill = 8500-2136

Number of cases Jane can fill with the remaining bottle= 6364 cases

Number of bottles left = number of cases Jane have left to fill.

Hence;

Number of bottles left = 6364 bottles

The width of the parking lot is 78 m

We have been given the perimeter of a rectangular parking lot which is equal to 350 m.

We know the perimeter of a rectangular plot is 2 X (width of the plot ) + 2 X (length of the parking lot ).

And the length of the parking lot is given as 97 m.

2 X (width of the plot ) +2 X (length of the parking lot ) =350 m

2 X (width of plot ) + 2 X 97 =350

2 X (width of the plot ) =156 m

width of the plot = 78 m

Hence the width of the plot is 78 meters.

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The width of this rectangular parking lot is equal to 78 meters.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following:

P = 2(L + W)

350 = 2(97 + W)

175 = 97 + W

Width, W = 175 - 97

Width, W = 78 meters.

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Answer: The slope is infinite

Step-by-step explanation:

An infinite slope is simply a vertical line. When you plot it on a line graph, an infinite slope is any line which runs parallel to the y-axis. You can also describe this as any line that doesn't move along the x-axis but stays fixed at one constant x-axis coordinate, making the change along the x-axis.

Answer:

1- true

2-false

3-false

4-true

5 true

6 false

7 true

8 FALSE

Answer:

6×-27=-3×

+3×

9/9×=27/9

×=3

The number of lollipops in a container is 206.

These are steps to find the number of lollipops in a container:

1. Let x be the number of lollipops in a packet and 2x be the number of lollipops in a container.

2. According to the given information, we have the equation: 2(2x) + 3x = 721

3. Simplify the equation: 4x + 3x = 721 7x = 721

4. Solve for x: x = 103

5. Substitute x back into the equation to find the number of lollipops in a container: 2x = 2(103) = 206 Therefore, the number of lollipops in a container is 206.

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John will clean the house for 5/2 = 2.5 hours.

What is quadratic equation?

The polynomial equation whose highest degree is two is called a quadratic equation or sometimes just quadratics. It is expressed in the form of:

ax² + bx + c = 0

where x is the unknown variable and a, b and c are the constant terms.

Given, that John cleans the house 2 hours more than Jane.

Let x be the time taken by the Jane and x +2 be the time taken by John.

Total they work for 2 hours 24 minutes

first we will convert minutes into hours, 24/60

= 2.4 hours

Let time taken by John = 1/x+2

time taken by Jane = x

1/x + 1/(x+2) = 2.4

Taking lcm,

x+x+2 = 2.4(x)(x+2)

2x +2 = 2.4\(x^{2}\) +4.8x

2.4x\(x^{2}\)+2.8x -2 = 0

On solving it,

x = \(\frac{b-\sqrt{b^{2-4ac} } }{2a}\)

x = 1/2 and x = -5/3

only x = 1/2 is possible value.

Time taken by John = 1+1/2

=5/2

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If a bicyclist in motion increases his speed by 30 percent and then increases this speed by 10% , 43%. percent of the original speed is the total increase in speed

To find the total increase in speed, we first need to find the new speed after the first increase of 30%.

If the original speed is represented as 100%, then the new speed after the first increase is

100 + (30% of 100) = 100 + 30 = 130.

Next, we find the new speed after the second increase of 10%.

The new speed after the second increase is

130 + (10% of 130) = 130 + 13 = 143.

Finally, we find the percent increase in speed compared to the original speed of 100%.

The percent increase in speed is

(143 - 100) / 100 * 100 = 43%.

Therefore, the total increase in speed is 43%.

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Answer:3/6

Step-by-step explanation:

Answer: 33

Step-by-step explanation:

There are lots of things you have to remember in parallel lines with transversal lines (the lines that cut through the parallel lines). In this picture, the angles shown are co-interior angles. Co-interior angles add up to 180°.

Given this, we can make and solve the following equation:

\((x + 20) + (4x-5) = 180\\x + 20 + 4x - 5 = 180\\5x + 15 = 180\\5x = 165\\x = 33\)

If there are any steps you don't understand, I can go through it again, so please tell me :)

Answer:

Step-by-step explanation:

\(Isaac : Victoria\\ 2 : 5\\Victoria = \£6.60\\Issac =?\\Total Amount = \£?\\2+5 =7\\\frac{5}{7} *x=\£6.60\\\frac{5}{7}x = \£6.60\\ 5x = 7*\£6.60\\5x =\£46.2\\\frac{5x}{5} =\frac{\£46.2}{5} \\x = \£9.24\\Issac = Total- amount - Victoria's amount\\Isaac = \£9.24-\£6.60\\=\£2.64\\Difference = \£6.60-\£2.64\\Difference = \£3.96\)

Four special two digit numbers exist: 1, 2, 145, and 40585.

A special two-digit number is one in which the original two-digit number is equal to the sum of the number's digits plus the product of its digits. Take the number's initial and last digits out, then add and multiply each digit independently. After that, multiply the two-digit number by the sum and product of its digits and then compare the result to the original value. If they match, it qualifies as a special two-digit number; otherwise, it does not.

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Answer:

Step-by-step explanation:

x + 2y = -5

-3x - 6y = -1

3x + 6y = -15

-3x - 6y = -1

0 ≠ -16

no solution

For the given function t(s) = 36s, let's determine the domain and range:

Domain:

The domain of a function refers to the set of possible values for the independent variable (sugar teaspoons in this case). Since the number of teaspoons of sugar cannot be negative, the domain is all non-negative real numbers. Therefore, the domain is represented as s ≥ 0, indicating that s must be greater than or equal to 0.

Range:

The range of a function refers to the set of possible values for the dependent variable (number of cupcakes in this case). The number of cupcakes cannot be negative, and it can be any whole number since it represents a count. Therefore, the range is all non-negative integers. It can be represented as\(t(s) = {0, 1, 2, 3, ...},\) indicating that the number of cupcakes can be 0, 1, 2, 3, and so on.

Hence, the domain for the function is s ≥ 0 and the range is\(t(s) = {0, 1, 2, 3, ...}.:\)

Domain:

The domain of a function refers to the set of possible values for the independent variable (sugar teaspoons in this case). Since the number of teaspoons of sugar cannot be negative, the domain is all non-negative real numbers. Therefore, the domain is represented as s ≥ 0, indicating that s must be greater than or equal to 0.

Range:

The range of a function refers to the set of possible values for the dependent variable (number of cupcakes in this case). The number of cupcakes cannot be negative, and it can be any whole number since it represents a count. Therefore, the range is all non-negative integers. It can be represented as \(t(s) = {0, 1, 2, 3, ...},\) indicating that the number of cupcakes can be 0, 1, 2, 3, and so on.

Hence, the domain for the function is s ≥ 0 and the range is \(t(s) = {0, 1, 2, 3, ...}.\)

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Let's represent the capacity of the small bucket as "x" and the capacity of the large bucket as "y".

From the first statement, we can set up the equation:

2x + y = 8

From the second statement, we can set up another equation:

y - x = 2

Now we can solve for "x" and "y".

Rearranging the second equation, we get:

y = x + 2

Substituting this value of "y" into the first equation, we get:

2x + (x + 2) = 8

Simplifying, we get:

3x + 2 = 8

Subtracting 2 from both sides, we get:

3x = 6

Dividing by 3, we get:

x = 2

Substituting this value of "x" into the second equation, we get:

y - 2 = 2

Simplifying, we get:

y = 4

Therefore, each small bucket can hold 2 cups of gasoline, and the large bucket can hold 4 cups of gasoline.

Answer:

3n+5<3/4n

Step-by-step explanation:

Around 1950, family sociologists described a standard marriage pattern at about age 20 for women and age a) 22 for men.

The standard marriage pattern today, based on the time a couple marries, is mid-to-late twenties.  Some marriages are contracted very late, with some in the forties.

Sociologists have pointed out that the current delay in marriages is caused by the higher priority placed on education and career by youths.

However, marriage patterns based on the type of arrangement include:

Traditionally, marriages have served two societal purposes:

Thus, around 1950, family sociologists described a standard marriage pattern at about age 20 for women and age  22 for men.

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The correct statement(s) regarding error control is b. error correction is used to correct data errors. Error control is the process of detecting errors in data that is transmitted from one system to another, and then correcting the errors to ensure that the data is accurate.

It is important for ensuring that data is transmitted accurately, especially in situations where data loss could have serious consequences.

Here are the explanations to the statements: a. error detection is used to detect data errors, but not to correct them- False. Error detection refers to the process of detecting errors in data, but not correcting them.

b. error correction is used to correct data errors- True. Error correction is used to detect and correct errors in data.

c. error control methods only give us a probability that bit errors can be either detected and/or corrected- False.

Error control methods can both detect and correct errors in data with a high degree of accuracy.d. all statements are correct- False. Only statement b is correct.

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The linear function in this problem is not proportional, as the intercept is different of zero.

The linear function in slope-intercept format is modeled as follows:

y = mx + b.

In which:

The parameters for this problem are given as follows:

m = 0.2, b = 2.

A proportional relationship has an intercept of zero, which is not the case for this problem.

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Answer:

C

Step-by-step explanation:

Answer:

f(x)=-12

Step-by-step explanation:

Since x=-4 substitute -4 into the equation

f(x)=3*-4

f(x)=-12

Hope this helped!

A student′s grade on an examination was transformed to a z value of 0.67. Therefore, the student scored approximately in the top 26% of the class. This indicates that the correct answer is d. 25 percent.

In this scenario, the student's grade on an examination has been transformed into a z value of 0.67. To determine the approximate percentile rank of the student's score, we can refer to the standard normal distribution table.

The z value represents the number of standard deviations the student's score is away from the mean. A z value of 0.67 corresponds to a percentile rank of approximately 74%. Therefore, the student scored approximately in the top 26% of the class. This indicates that the correct answer is d. 25 percent.

To elaborate, a z value represents the number of standard deviations a data point is above or below the mean in a normal distribution. By converting the student's grade to a z value, we can compare it to the standard normal distribution table to determine the corresponding percentile rank. A z value of 0.67 corresponds to a percentile rank of approximately 74%.

This means that approximately 74% of the students in the class scored below the student in question. Since we are interested in the top percentile, we subtract the percentile rank from 100% to get the approximate percentage of students who scored lower. Therefore, the student scored approximately in the top 26% of the class, indicating that the correct answer is d. 25 percent.

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The length of each leg of a right triangle given that one angle is 22° and the length of the hypotenuse is 10 inches are 3.75 and 9.27 inches respectively.

In order to determine the length of the opposite side and adjacent side, we would apply both the cosine and sine trigonometry ratio because the given side lengths represent the hypotenuse of a right-angled triangle.

cos(θ) = Adj/Hyp

Where:

By substituting the parameters into the sine trigonometry ratio formula, we have the following;

sin(θ) = Opp/Hyp

sin(22) = y/10

y = 10sin(22)

y = 3.75 inches.

For the adjacent side, we have:

cos(θ) = Adj/Hyp

cos(22) = x/10

x = 10cos(22)

x = 9.27 inches.

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The correct solution to this problem is option e. 1/e. We can find it in the following manner.

The time constant of an RC circuit is the time in which the current decreases to 1/e (approximately 0.368) of its initial value.

This can be derived from the equation for the current in an RC circuit:

\(I=10 * e^({-t/RC} )\)

where I is current at time t, I0 is the initial current, R is the resistance, C is the capacitance, and e is the mathematical constant approximately equal to 2.71828.

To find the time constant, we set the exponent to -1:

\(e^({-t/RC} ) = 1 /e\)

Solving for t/RC, we get:

t/RC = 1

Therefore, the time constant is equal to RC, and the current decreases to 1/e of its initial value in one time constant.

So the answer is e. 1/e.

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Weight of a 24 square foot, 2 inch thick aluminum plate will be: 720 lbs.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Given:

To find: weight of a 24 square foot, 2 inch thick aluminum plate

Finding:

By unitary method, we get:

Weight of 1 square foot aluminum plate = 15 lbs.

Weight of 24 square foot aluminum plate = 15(24) lbs = 360 lbs.

Again, by unitary method, we get:

Weight of 1 square foot, 1 inch thick aluminum plate = 15 lbs.

Weight of 24 square foot, 1 inch thick aluminum plate = 15(24) lbs = 360 lbs.

Weight of 24 square foot, 2 inch thick aluminum plate = 360(2) lbs = 720 lbs.

Hence, Weight of 24 square foot, 2 inch thick aluminum plate = 720 lbs.

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Answer:

4 option

Step-by-step explanation: