PLZ HELP ME ON THIS QUESTION GUYS!!

Answer:

Step-by-step explanation:

Let's call the number of hotdogs sold "x". According to the problem, the number of sodas sold is three times the number of hotdogs sold, or 3x.

We know that the total number of sodas and hotdogs sold is 136. So we can set up an equation:

x + 3x = 136

Simplifying this equation, we get:

4x = 136

Dividing both sides by 4, we get:

x = 34

This means that 34 hotdogs were sold. To find the number of sodas sold, we can multiply the number of hotdogs sold by 3:

3x = 3(34) = 102

So, 102 sodas were sold.

Answer:

1

Step-by-step explanation:

the original answer is 0.998858447 but this rounded to the nearest whole number is 1.

The simplified expression of x(3x + 5)-5(2x - 1) is 3x² - 5x + 5

From the question, we have the following parameters that can be used in our computation:

x(3x + 5)-5(2x - 1)

Open the brackets

So, we have

3x² + 5x - 10x + 5

Evaluate the like terms

So, we have

3x² - 5x + 5

Hence, the simplified expression is 3x² - 5x + 5

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The required property justifies the step is an addition property of equality.

What is mathematical property?

The rules governing how numbers relate to and interact with one another are known as mathematical properties. There are four fundamental properties. i.e. distributive, addition, commutative and subtraction.

Given, 2x +3 = -5x -1

Applying addition property of equality,

Adding 5x to both sides, we get

7x + 3 = -1

Hence, the required property justifies the step is an addition property of equality.

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The height of the building is given as follows:

205 feet.

The three trigonometric ratios are defined as follows:

Regarding the angle of 64º, we have that:

Hence the height is obtained applying the tangent of 64º, as follows:

tan(64º) = h/100

h = 100 x tangent of 64 degrees

h = 205 feet.

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The length of side AD is,

⇒ AD = 16

We have to given that;

The given figure is a right triangular prism.

In the prism:

• DF = 22 in.

• EG = 11 in.

• Volume of the prism = 1936 cubic in.

Since, Volume of right triangular prism is,

V = 1/2 (bh) x L

Substitute all the values we get;

V = 1/2 (22 × 11) × AD

1936 = 121 × AD

AD = 16

Thus, The length of side AD is, 16

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damp everyone is giving exams lol

Answer:

Step-by-step explanation:

take 22 degree as reference angle

using cos rule

cos 22=adjacent/hypotenuse

0.92=56/x

x=56/0.92

x=60.86

x=60.9

Answer:

\(x = \frac{1}{3} \)

or x = 0.33

Step-by-step explanation:

\( {5}^{3x} - {5}^{3x - 1} = 4 \\ \\ \implies{5}^{3x} - {5}^{3x} . {5}^{ - 1} = 4 \\ \\ \implies{5}^{3x}(1 - {5}^{ - 1} )= 4 \\ \\ \implies{5}^{3x} \bigg(1 - \frac{1}{5} \bigg)= 4 \\ \\ \implies{5}^{3x} \bigg(\frac{5 - 1}{5} \bigg)= 4 \\ \\ \implies{5}^{3x} \times \frac{4}{5} = 4 \\ \\ \implies{5}^{3x} = 4 \times\frac{5}{4} \\ \\ \implies{5}^{3x} =5 \\ \\ \implies \: 3x = 1 \\ \\ \huge \implies \: x = \frac{1}{3} \\\\ \huge \implies \: x = 0.33\)

Answer:

4 : 15 is the answer for 60 : 75 to the lowest term

The calculated measure of m∠PNM is 87 degrees

from the question, we have the following parameters that can be used in our computation:

The circle

Where, we have

PM = 360 - 64 - 122

Evaluate

PM = 174

Next, we have

m∠PNM = 1/2 * 174

So, we have

m∠PNM = 87

Hence, the measure of m∠PNM is 87 degrees

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Answer:

( − 1 , ∞ )

Step-by-step explanation:

( − 1 , ∞ )

The surface area of a cylinder is 284m² and it's volume is 366.9m³

To find the surface area and volume of a cylinder, we need to know the radius (r) and height (h) of the cylinder. The formulas for the surface area (A) and volume (V) of a cylinder are as follows:

From the given question, the data are;

a. The surface area of the cylinder is;

SA = 2π(4)² + 2π(4)(7.3)

SA = 283.999≈284m²

b. The volume of the cylinder is

v = πr²h

v = π(4)²(7.3)

v = 366.9m³

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Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)

hence, percentage of people who liked blue cars= (18/36)*100 %

                                                                                  = 50%  

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Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

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According to the information we can infer that the parallel line would be AD or CF. Additionally, the perpendicular lines would be CB or FE.

To identify the parallel lines we must look at the figure and find the lines that have the same direction as the line BE and that would never intersect with the segment BE, according to the above, we can infer that the parallel lines would be:

On the other hand, the lines perpendicular to CF would be CB or FE because they make 90° angles with segment CF. Additionally, the face that would be parallel to ABC is DEF.

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Answer:

For every hour the electrician works, her pay will increase $32.

The correct interpretation is For every hour the electrician works, her pay will increase by $32. The correct option is A.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

Given that an electrician charges a flat service fee to accept a job and an additional hourly rate to complete the job. The amount an electrician charges per job can be represented by the function E(x) = 135 + 32x, where x represents the number of hours she works on the job and 135 represents her flat service fee.

Now, in the given problem the slope interpretation is that For every hour the electrician works, her pay will increase by $32.

Hence, the correct interpretation is For every hour the electrician works, her pay will increase by $32.

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Answer:

4/5 divide 100 by the denominator in this case 5 get 20 as the unit percent and multiply by the numerator to get 80% which is 8/10 as a fraction.

Answer:

okey here you go. first look for the nuber that u can cancel like 6y can be removed by adding sign plus. then rest will work according to the equation by adding.

22 divided my 2 is 11

Answer:

22 divided by 2 is 11

Step-by-step explanation:

The expression is 4 ₊ 12/x.

Given, the question says , four more than the quotient of 12 and a number x.

= 4 ₊ 12/x.

The outcome of dividing two numbers is the quotient.Three is the result of dividing six by two. In Latin, the word "quotient" implies "how many times." That makes a lot of sense since when you divide two numbers, you are calculating "how many times" the second number enters the first.

A term can be a number, a variable, the product of two or more variables, or the combination of a number and a variable. A single phrase or a collection of terms can make up an algebraic expression. For instance, 4x and y are the two terms in the formula 4x + y.

hence we framed the expression as 4 ₊ 12/x.

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In this problem, we need to solve and graph a linear inequality. We can begin by solving it like a regular equation, but we have to be careful with the last step.

If we ever multiply or divide by a negative number in the inequality, the symbol will switch directions.

Let's get started.

We are given:

First, we should apply the distributive property on both sides of the inequality:

So we now have

Combing like terms on both sides, we get:

Add x to both sides:

Subtract 3 from both sides:

Divide by 3 on both sides (the symbol will remain the same since 3 is positive):

We read the solution as x is greater than or equal to 6. In interval notation, we get:

On a graph, we have:

The length of the base and height of the triangle as described in the task content are; 6cm and 3cm respectively.

It follows from the task content that the Area of the triangle is; 9 cm².

Since, Area = (1/2)b × h. where h = (b-3).

Therefore we have;

9 = (1/2)b × (b-3)

18 = b² -3b

b² -3b -18 = 0.

On this note, by solving quadratically; we have; b = 6 or b = -3.

The base of the triangle is therefore 6 as it cannot be a negative measure.

Consequently, the height, h = (b-3) = 6-3 = 3.

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Answer:

d) The limit does not exist

General Formulas and Concepts:

Calculus

Limits

Limit Rule [Variable Direct Substitution]:                                                             \(\displaystyle \lim_{x \to c} x = c\)

Limit Property [Addition/Subtraction]:                                                                   \(\displaystyle \lim_{x \to c} [f(x) \pm g(x)] = \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)\)

Step-by-step explanation:

*Note:

In order for a limit to exist, the right-side and left-side limits must equal each other.

Step 1: Define

Identify

\(\displaystyle f(x) = \left\{\begin{array}{ccc}5 - x,\ x < 5\\8,\ x = 5\\x + 3,\ x > 5\end{array}\)

Step 2: Find Right-Side Limit

Step 3: Find Left-Side Limit

∴ Since  \(\displaystyle \lim_{x \to 5^+} f(x) \neq \lim_{x \to 5^-} f(x)\)  , then  \(\displaystyle \lim_{x \to 5} f(x) = DNE\)

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit:  Limits

Here are the correct matches to the expressions to their solutions.

The GCF of 28 and 60 is 4.

(-3/8)+(-5/8) = -4/4 = -1.

-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.

The solution of 0.5 x = -1 is x = -2.

The solution of 1/2 m = 0 is m = 0.

-4 + 5/3 = -11/3.

-2 1/3 - 4 2/3 = -10/3.

4 is not a solution of -4 < x.

1. The GCF of 28 and 60 is 4.

The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:

28 = 2 x 2 x 7

60 = 2 x 2 x 3 x 5

The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.

2. (-3/8)+(-5/8) = -1.

To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.

3. -1/6 DIVIDED BY 1/2 = -1/3.

To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.

4. The solution of 0.5 x = -1 is x = -2.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.

5. The solution of 1 m = 0 is m = 0.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.

6. -4 + 5/3 = -11/3.

To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.

7. -2 1/3 - 4 2/3 = -10/3.

To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.

8. 4 is not a solution of -4 < x.

The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.

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Hello !

you made a typo with the c^-2 because otherwise it does not make a round result

\(a^{2} *b^{2} *c^{2} \\\\= 1^{2} *2^{2}* (-3)^{2} \\\\= 1*4*9\\\\\boxed{= 36}\)

Answer:

perimwter = 2(4x-6 + 2x+4) = 2 (6x-2) = 12x-4

Answer:

for  n =  3

       \(Z(3) = 0.26\)  

for  n =  10

       \(Z(3) = 0.028\)

Step-by-step explanation:

from the question we are that

  The  number of applicant is n

  The  number of  people on the committee is \(N = 3\)

Generally given that the applicant ranking is random the probability of a candidate being accepted is mathematically represented as

       \(Z(n) =  N  *  \frac{1}{n} *  \frac{1}{n}  *  \frac{n-1}{n}  + \frac{1}{n} *  \frac{1}{n} * \frac{1}{n}\)

Now  for  n =  3

       \(Z(3) =  3  *  \frac{1}{3} *  \frac{1}{3}  *  \frac{3-1}{3}  + \frac{1}{3} *  \frac{1}{3} * \frac{1}{3}\)      

         \(Z(3) = 0.26\)            

Now  for  n =  10

       \(Z(3) =  3  *  \frac{1}{10} *  \frac{1}{10}  *  \frac{10-1}{10}  + \frac{1}{10} *  \frac{1}{10} * \frac{1}{10}\)      

         \(Z(3) = 0.028\)

(1, 5); (4, 7) - corresponding, (3, 5) - Alternate Interior, (2, 7); (1, 8) - Exterior

(3, 6) are Consecutive Interior Angles.

Any line that crosses two straight lines at different locations is known as a transversal.

Corresponding Angles:

When two parallel lines cross the third one, the angles that are in the same relative position at each junction are referred to as corresponding angles to one another

Alternate Interior Angles:

The alternative interior angles are those that are on the inner side of the parallel lines but on the opposing sides of the transversal.

Alternate Exterior Angles:

Alternate external angles are positioned on the opposing sides of the transversal and are always outside the two lines where the transversal intersects.

Consecutive Interior Angles:

The pair of non-adjacent internal angles that are located on the same side of the transversal are referred to as consecutive interior angles.

Here we have

Two parallel lines intersected and formed the angles, ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, ∠7, and ∠8.

By the given information,

∠1  and ∠ 5 are corresponding angles

∠4 and ∠ 7 are corresponding angles

∠3 and ∠5 are Alternate Interior Angles

∠2, and ∠7 are Alternate Exterior angles

∠1 and ∠ 8 are Alternative Exterior angles

∠3 and ∠ 6 are Consecutive Interior Angles

Therefore,

(1, 5); (4, 7) - corresponding, (3, 5) - Alternate Interior, (2, 7); (1, 8) - Exterior

(3, 6) are Consecutive Interior Angles.

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