In an electrical circuit, the voltage across a resistor is directly proportional to the current running through the resistor. If a current of 14 amps produces 280 volts across a resistor, how many volts would a current of 5.5 amps produce across an identical resistor?

Answers

Answer 1

A current of 5.5 amps produce across an identical resistor will produce 110Volts across an identical resistor

What is a current?

From above,

Current 1 (I₁) = 14 amps

P.d (V₁) = 280 V

By Ohm's law which states that that for a linear circuit the current flowing through it is proportional to the potential difference across it so the greater the potential difference across any two points the bigger will be the current flowing through it.

V₁ = I₁R

= 280 = 14R

= 20Ω = R

Current 2 (I₂) = 3.5 A

Resistance (R) = 20 Ω

Assuming the resistance stays the same,

Using Ohm's law,

V₂ = I₂R

= 5.5*20

= 110 Volts

110Volts would be produced across an identical resistor

Learn more about current on:https://brainly.com/question/23005284

#SPJ1


Related Questions

Sally has a mass of 70 kg and dave weighs 170 pounds what is Sally weight as a percentage of Dave’s weight

Answers

The percentage is 91% approx.

We have to find percentage here.

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.

To find percentage, we need to have both the terms in the same unit.

So, we will convert kg into pounds

1 kg = 2.205 pounds

70 kg = 2.205 * 70 = 154.35 pounds

Sally's weight = 154.35 pounds

Dave's weight = 170 pounds

Percentage = Sally's weight/ Dave's weight * 100

= 154.35/170 * 100

= 90.794%

= 91% approx.

The percentage is 91% approx.

To find more about percentage:

https://brainly.com/question/26080842

$75 dinner, 6.25% tax, 18% tip please show work.You have to find the total cost

Answers

According the the information given in the exercise, you know that the cost of the dinner was:

[tex]d=_{}$75$[/tex]

Where "d" is the cost of the dinner in dollars.

Convert from percentages to decimal numbers by dividing them by 100:

1. 6.25% tax in decimal for:

[tex]\begin{gathered} tax=\frac{6.25}{100} \\ tax=0.0625 \\ \end{gathered}[/tex]

2. 18% tip in decimal form:

[tex]\begin{gathered} tip=\frac{18}{100} \\ \\ tip=0.18 \end{gathered}[/tex]

To find the amount in dollars of the tax and the the amount in dollars of the tip, multiply "d" by the decimals found above.

Knowing the above, let be "t" the total cost in dollars.

This is:

[tex]\begin{gathered} t=d+0.0625d+0.18d \\ t=75+(0.0625)(75)+(0.18)(75) \\ t=93.1875 \end{gathered}[/tex]

Therefore the answer is: The total cost is $93.1875

A sample of 7 adult elephants had an average weight of 12,572 pounds. The standard deviation for the sample was 26 pounds. Find the 95% confidence interval of the population mean for the weights of adult elephants. Assume the variable is normally distributed. Round intermediate answers to at least three decimal places. Round your final answers to the nearest whole number.

Answers

Answer

[tex]CI=(12553<\mu<12591)[/tex]

Explanation

The confidence interval formula is given by

[tex]\begin{gathered} CI=\bar{x}\pm z\frac{s}{\sqrt[]{n}} \\ \text{Where;} \\ CI\text{ is the 95 percent confidence interval} \\ \bar{x}\text{ is the average weight }=12572 \\ z\text{ is the confidence value }=1.96 \\ s\text{ is the sample standard deviation }=26 \\ n\text{ is the sample size }=7 \end{gathered}[/tex]

This implies that

[tex]\begin{gathered} CI=12572\pm1.96(\frac{26}{\sqrt[]{7}}) \\ CI=12572\pm\frac{50.960}{2.646} \\ CI=12572\pm19.259 \\ CI=(12552.741,12591.259) \\ CI=(12553<\mu<12591) \end{gathered}[/tex]

The 95% confidence interval of the population mean for the weights of adult elephants is (12553 < μ < 12591)

Miss Taylor drove 30 miles in March she drove 9 times as many miles in May as she did in March she drove 2 times as many miles in April as she did in May how many miles did Miss Taylor Drive in April.

Answers

then we use the statement to solve

Miss Taylor drove 30 miles in March

[tex]March=30[/tex]

she drove 9 times as many miles in May as she did in March

[tex]\begin{gathered} May=9\text{March} \\ May=9\times30=270 \end{gathered}[/tex]

she drove 2 times as many miles in April as she did in May

[tex]\begin{gathered} April=2May \\ April=2\times270=540 \end{gathered}[/tex]

Taylor Drove 540 Miles in April

In the expression 9+2z what is the variable?

Answers

To answer this question, we will define some things first.

For every mathematical expression or term, it consist of three parts:

1) Coefficient

2) Variable: a symbol that stands in for an unknown value in a mathematical expression

3) Constant

In the expression given:

[tex]\begin{gathered} 9+2z \\ 9\text{ is the constant} \\ 2\text{ is the coefficient} \\ z\text{ is the variable} \end{gathered}[/tex]

So the variable in the expression is z.

Mrs. Brown is putting different colored sand into cups for her 4 daughters to make sand art bottles. The total amount of each color she has is shown in the table. Sand Color Weight (lb) Blue 1516 Pink 34 Purple 12 Turquoise 78 If each color is divided equally among the daughters, how much more pink sand will be available for each girl than purple sand? Write in simplest fraction form

Answers

Answer:

  11/2 lb

Step-by-step explanation:

If 34 lb of pink sand and 12 lb of purple sand are equally divided among 4 daughters, you want to know how much more pink sand each girl receives.

Difference

The difference in amounts seen by each daughter will be ...

  difference in amounts / number of daughters = (34 lb -12 lb)/(4 daughters)

  = 22/4 lb/daughter = 11/2 lb/daughter

Each girl will have 11/2 more pounds of pink sand than purple sand.

<95141404393>

In the lab, Deandre has two solutions that contain alcohol and is mixing them with each other. Solution A is 10% alcohol and Solution B is 60% alcohol. He uses200 milliliters of Solution A. How many milliliters of Solution B does he use, if the resulting mixture is a 40% alcohol solution?

Answers

The percentage of alcohol of a solution i is given by the quotient:

[tex]p_i=\frac{v_i}{V_i},_{}[/tex]

where v_i is the volume of alcohol in the solution i and V_i is the volume of the solution i.

From the statement of the problem we know that:

1) Solution A has 10% of alcohol, i.e.

[tex]p_A=\frac{v_A_{}}{V_A}=0.1.\Rightarrow v_A=0.1\cdot V_A.[/tex]

2) Solution B has 60% of alcohol, i.e.

[tex]p_B=\frac{v_B}{V_B}=0.6\Rightarrow v_B=0.6\cdot V_B.[/tex]

3) The volume of solution A is V_A = 200ml.

4) The resulting mixture must have a percentage of 40% of alcohol, so we have that:

[tex]p_M=\frac{v_M}{V_M}=0.4.[/tex]

5) The volume of the mixture v_M is equal to the sum of the volumes of alcohol in each solution:

[tex]v_M=v_A+v_{B\text{.}}_{}[/tex]

6) The volume of the mixtureVv_M is equal to the sum of the volumes of each solution:

[tex]V_M=V_A+V_B\text{.}[/tex]

7) Replacing 5) and 6) in 4) we have:

[tex]\frac{v_A+v_B}{V_A+V_B_{}}=0.4_{}\text{.}[/tex]

8) Replacing 1) and 2) in 7) we have:

[tex]\frac{0.1\cdot V_B+0.6\cdot V_B}{V_A+V_B}=0.4_{}\text{.}[/tex]

9) Replacing 3) in 8) we have:

[tex]\frac{0.1\cdot200ml_{}+0.6\cdot V_B}{200ml_{}+V_B}=0.4_{}\text{.}[/tex]

Now we solve the last equation for V_B:

[tex]\begin{gathered} \frac{0.1\cdot200ml+0.6\cdot V_B}{200ml_{}+V_B}=0.4_{}, \\ \frac{20ml+0.6\cdot V_B}{200ml_{}+V_B}=0.4_{}, \\ 20ml+0.6\cdot V_B=0.4_{}\cdot(200ml+V_B), \\ 20ml+0.6\cdot V_B=80ml+0.4\cdot V_B, \\ 0.6\cdot V_B-0.4\cdot V_B=80ml-20ml, \\ 0.2\cdot V_B=60ml, \\ V_B=\frac{60}{0.2}\cdot ml=300ml. \end{gathered}[/tex]

We must use 300ml of Solution B to have a 40% alcohol solution as the resulting mixture.

Answer: 300ml of Solution B.

72, - 16, - 8, 40
[tex]72, - 16, - 8, 40[/tex]

Answers

The solution to the mathematical problem is using the mathematical operation of addition, getting the sum of the numbers as 88.

What is an addition operation?

An addition operation is one of the four basic mathematical operations, including division, subtraction, and multiplication.

When a number is added to another, the result of the addition operation is a sum or the total.

Addition operations are classified into two or more addends, the plus symbol (+), the equal sign (=), and the sum.

72 + -16 + -8 + 40

Group additions and subtractions:

72 + 40 + -16 + -8

Simplify the operations:

= 112 - 24

Solution:

= 88

Learn more about the addition operations at https://brainly.com/question/20628271

#SPJ1

Help solving rational equations by cancelling denominator

Answers

[tex]\frac{(a-2)(a+3)(a+2)}{(a+3)(a+2)}[/tex]

A company needs to take 10 sample sensor readings if the sensor collects data at 1/3 of a sample per second how long will it take the company to take all 10 samples

Answers

Given:

Sample space = 10

Rate = 1/3 per second

Correctz is jointly proportional to x and y. If z = 115 when x = 8 and y = 3, find z when x = 5 and y = 2. (Round off your answer to the nearest hundredth.)

Answers

When we have a number that is jointly proportional to two other numebrs, the formula is:

[tex]a=kcb[/tex]

This means "a is jointly proportional to c and b with a factor of k"

Then, we need to find the factor k.

In this case z is jointly proportional to x² and y³

This is:

[tex]z=kx^2y^3[/tex]

Then, we know that z = 115 when x = 8 and y = 3. We can write:

[tex]115=k\cdot8^2\cdot3^3[/tex]

And solve:

[tex]\begin{gathered} 115=k\cdot64\cdot27 \\ 115=k\cdot1728 \\ k=\frac{115}{1728} \end{gathered}[/tex]

NOw we can use k to find the value of z when x = 5 and y = 2

[tex]z=\frac{115}{1728}\cdot5^2\cdot2^3=\frac{115}{1728}\cdot25\cdot8=\frac{2875}{216}\approx13.31[/tex]

To the nearest hundreth, the value of z when x = 5 and y = 2 is 13.31

I need help for problem number 9. On the right side of the paper.

Answers

Constant of variation ( k ):

• y = 2/3

,

• x = 1/4

[tex]k=\frac{y}{x}=\frac{\frac{2}{3}}{\frac{1}{4}}=\frac{8}{3}[/tex]

k = 8/3

Based on k we can find the value of y when x =3/4 as follows:

[tex]\begin{gathered} k=\frac{y}{x} \\ y=k\cdot x \\ y=\frac{8}{3}\cdot\frac{3}{4}=2 \end{gathered}[/tex]

Answer:

• k = 8/3

,

• When ,x, = ,3/4,,, y = 2

What is the image point of (1,−3) after a translation right 2 units and up 2 units?

Answers

For this problem we have the following point given:

[tex]P=(1,-3)[/tex]

And we want to determine the image point after a translation of 2 units to the right and upward. So then we just need to do the following:

[tex]I=(1+2,-3+2)[/tex]

And after do the math we got:

[tex]I=(3,-1)[/tex]

And the final answer for this case would be I=(3,-1)

A linear regression model for the revenue data for a company is R=25.9t + 204 where R is total annual revenue and t is time since 1/31/02 in years.

Answers

The linear regression model is

[tex]R=25.9t+204[/tex]

Where

R is the total annual revenue (dependant variable)

t is the time, in years, since 1/31/02 (independent variable)

To predict the annual revenue for the period ending 1/31/10, the first step is to determine the value of t. Considering that t=0 is the first recorded year (1/31/02), the value of t corresponding to period 1/31/10 is the number of years passed since, including 2002, which is 9 years.

So you have to calculate R for t=9. Replace the formula with t=9 and calculate the corresponding value of R

[tex]\begin{gathered} R=25.9\cdot9+204 \\ R=437.1 \end{gathered}[/tex]

R≈437 billion dollars

Please see image attached. I am not able to solve, even after using the formula

Answers

Given:

Total number of cub scouts is 20 and the number of scout is 10 more than 2 times the number of adult leaders.

Required:

We need to find the number of adult leaders.

Explanation:

Lets consider cub scouts as c and adult leaders as a so the

[tex]c=20[/tex]

and the formula for adult is

[tex]\begin{gathered} c=2a+10 \\ 20=2a+10 \end{gathered}[/tex]

simplify as:

[tex]\begin{gathered} 10=2a \\ a=5 \end{gathered}[/tex]

Final answer:

Number of adult leaders is 5

Write the trig equation needed to solve for X. Then solve for X. Round answers to the nearest tenth.

Answers

In order to solve for x, we need to use the tangent relation of the angle 48°.

The tangent relation is equal to the length of the opposite leg to the angle over the length of the adjacent leg to the angle.

So we have:

[tex]\begin{gathered} \tan (48\degree)=\frac{x}{17} \\ 1.1106=\frac{x}{17} \\ x=1.1106\cdot17 \\ x=18.88 \end{gathered}[/tex]

Rounding to the nearest tenth, we have x = 18.9.

Find the value of f(-9).

Answers

The function f(-9) is the -x value, find where the line is in the -y direction at -x = -9. The line crosses -y = -3 at -x = -9.

What is meant by the graph?

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.

In discrete mathematics, a graph is made up of vertices—a collection of points—and edges—the lines connecting those vertices. In addition to linked and disconnected graphs, weighted graphs, bipartite graphs, directed and undirected graphs, and simple graphs, there are many other forms of graphs. A graph is a diagram that depicts the connections between two or more objects.

The function f(-9) is the -x value, find where the line is in the -y direction at -x = -9. The line crosses -y = -3 at -x = -9.

To learn more about graphs refer to:

https://brainly.com/question/19040584

#SPJ13

60 went into a machine and 72 came out.What percent increase did this machine use?

Answers

From this question, we can deduce he following:

Original value = 60

New value = 72

Let's find the percentage increase.

To find the percentage increase, apply the formula below:

[tex]\text{ Percent increase = }\frac{New\text{ value - old value}}{old\text{ value}}\ast100[/tex]

Thus, we have:

[tex]\begin{gathered} \text{Percent increase = }\frac{72-60}{60}\ast100 \\ \\ \text{Percent increase = }\frac{12}{60}\ast100 \\ \\ \text{Percent increase = }0.2\ast100 \\ \\ \text{Percent increase = 20 \%} \end{gathered}[/tex]

Therefore, the percent increase is 20%.

ANSWER:

20%

Use the distributive property to simplify 10 - 5( -3-7m) completely .

Answers

Simplify the expression by using the distributive property.

[tex]\begin{gathered} 10-5(-3-7m)=10+(-5)\cdot(-3)+(-5)\cdot(-7m) \\ =10+15+35m \\ =25+35m \end{gathered}[/tex]

So answer is 25 + 35m.

Which answer choice shows 3.002 written in expanded form?A) 3 + 0.2B) 3 + 0.02C) 3 + 0.002D) 3+ 0.0002

Answers

SOLUTION

We want to know which answer choice shows 3.002 written in expanded form

To do this let us subtract 3.002 from 3, we have

We got 0.002

So the expanded form is

[tex]3+0.002[/tex]

Hence the correct answer is option C

Which of the following is a factor of the polynomial Step By Step Explanation Please

Answers

Use the quadratic formula.

[tex]x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}[/tex]

Where a = 3, b = -31, and c = -60.

[tex]x=\frac{-(-31)\pm\sqrt[]{(-31)^2-4(3)(-60)}}{2(3)}[/tex]

Solve to find both solutions.

[tex]x=\frac{31\pm\sqrt[]{961+720}}{6}=\frac{31\pm\sqrt[]{1681}}{6}=\frac{31\pm41}{6}[/tex]

Rewrite the expression as two.

[tex]\begin{gathered} x_1=\frac{31+41}{6}=\frac{72}{6}=12 \\ x_2=\frac{31-41}{6}=\frac{-10}{6}=-\frac{5}{3} \end{gathered}[/tex]

Once we have the solutions, we express them as factors. To do that, we have to move the constant to the right side of each equation.

[tex]\begin{gathered} x=12\to(x-12) \\ x=-\frac{5}{3}\to(3x+5)_{} \end{gathered}[/tex]

As can observe, the factor of the polynomial is (x-12).

Therefore, the answer is d.

Could you help me with this problem?There are 7 acts in a talent show.A comedian, a guitarist, a magician, a pianist, a singer, a violinist, and a whistler.A talent show host randomly schedules the 7 acts.Compute the probability of each of the following events.Event A: The magician is first, the comedian is second, and the whistler is third.Event B: The first three acts are the guitarist, the pianist, and the singer, in any order.Write your answers as fractions in simplest form.

Answers

EXPLANATION

For the event B, the order of the first 3 acts doesn't matter.

So, the number of acts taken from the seven acts when the order doesn't matter is calculated using combinations.

[tex]C(m,n)=\frac{m!}{n!(m-n)!}[/tex][tex]C(7,3)=\frac{7!}{3!(7-3)!}=\frac{7!}{3!4!}[/tex]

Computing the factorials:

[tex]C(7,3)=\frac{5040}{6\cdot24}=\frac{5040}{144}=35[/tex]

Hence, the number of ways the three acts could be given are 1:C(7,3)

Therefore, the probability of the event B is:

[tex]P(B)=\frac{1}{35}[/tex]

For the event A, the order matters, so the difference between combinations and permutations is ordering. When the order matters we need to use permutations.

The number of ways in which four acts can be scheculed when the order matters is:

[tex]P(m,n)=\frac{m!}{(m-n)!}[/tex][tex]P(m,n)=\frac{7!}{(7-3)!}=\frac{5040}{24}=210[/tex]

The number of ways the magician is first, the comedian is second and the whistler is third are 1:P(7,4)

Therefore, the probability of the event A is.

[tex]P(A)=\frac{1}{210}[/tex]

# 3 symbols of inequalities and the coordinate system...hello I'm a 7th grader can u please help me with my math summer package and explain it in a way that a 7th grader can understand it

Answers

Given: A grocery store is located at the origin (0,0). Madison lives 3 blocks west of the grocery store, and Gavin lives 5 blocks west of the grocery store.

Required: To determine the coordinates of Madison's house and Gavin's house and the distance between the grocery store and madison's and Gavin's house. Also, write inequalities for the distance.

Explanation: Let the graph represents the directions as follows-

Then, the direction west lies on the negative x-axis. So, according to the question, Madison lives 3 blocks west of the grocery store, and Gavin lives 5 blocks west of the grocery store. This can be represented as follows-

Here, M represents Madison's house, and G represents Gavin's house. Now the distance from the grocery store to Madison's house is 3 blocks and to Gavin's house is 5 blocks.

Gavin lives at a greater distance from the store. Let d(M) represent the distance of Madison's house from the store and d(G) represent the distance of Gavin's house from the store. Then-

[tex]\begin{gathered} 0Final Answer: Coordinates of Madison's house=(0,-3).

Coordinate of Gavin's house=(0,-5)

Distance from the grocery store to Madison's house=3 unit blocks.

Distance from the grocery store to Gavin's house=5 unit blocks.

Inequalities are-

[tex]\begin{gathered} 0\lt d(M))\leqslant3 \\ 0\lt d(G))\leqslant5 \end{gathered}[/tex]

The side of a square lot is (5×-3) meters. How many meters of fencing materials are needed to enclose the square lot?

Answers

The length of the fencing will be the perimeter of the given square with side (5x - 3) thus (20x - 12) meters will be the fencing length.

What is a square?

A square is a geometrical figure in which we have four sides each side must be equal and the angle between two adjacent sides must be 90 degrees.

As per the given,

Side of square = 5x - 3

The fencing around the square will cover the complete perimeter of the square.

Since the perimeter of the square = 4 × side

Therefore,

Length of fencing = 4 × (5x - 3)

Length of fencing = 20x - 12

Hence "The length of the fencing will be the perimeter of the given square with side (5x - 3) thus (20x - 12) meters will be the fencing length".

For more about a square,

https://brainly.com/question/2189895

#SPJ1

Please help meSolve using A=PertThe half life gets me each time.

Answers

[tex]\begin{gathered} Given \\ r=0.028 \\ \end{gathered}[/tex]

Which expression would be easier to simplify if you used the associativeproperty to change the grouping?

Answers

In option A, if expression is simplify with out using associative property then addition of 4/9 and -2/9 is easy, as compare to addition 6 and 4/9. So no need to apply associateive property to option A.

In option B, 60 and 40 can be easily add as compare to 40 and -27 so this expression do not need to apply associative property.

In option C, the expression is easier to simplify if 5/2 and -1/2 is added, which is possible if associative is apply to the expression.

[tex]\begin{gathered} (2+\frac{5}{2})+(-\frac{1}{2})=2+(\frac{5}{2}-\frac{1}{2}) \\ =2+(\frac{5-1}{2}) \\ =2+2 \\ =4 \end{gathered}[/tex]

Thus option C use associative property to make the simplification easier.

Answer: Option C.

Solve the inequality. Express your answer using set notation or interval notation. Graph the solution set.

Answers

Answer:

(D) {xIx ≥ 5} or [5, ∞)

Explanation:

Given inequality: 5x - 11 ≥ 9 + x

By collecting the like terms, we have

5x - x ≥ 9 + 11

4x ≥ 20

Divide bothsides by 4

4x/4 ≥ 20/4

x ≥ 5

In set notation, we have {5, ∞}

The graph of the solution set is

Determine the solution to the system of equations using substitution. (1 pt)2:+ y=6y = -6(2,6)(2,-6)(4, -2)(-2,4)

Answers

2x + y = 6 (1)

y = x - 6 (2)

Substituting y in equation (1)

2x + x - 6 = 6

3x - 6 = 6 Isolating 3x

3x = 6 + 6

3x = 12 Isolating x

x = 12/3 = 4

If x is 4 , then y is equal to -2 ( from equation (2) y)

a blu ray player costs $80.99 in the store. what would your total cost be if the sales tax is 5.5%

Answers

ANSWER:

$ 85.44

STEP-BY-STEP EXPLANATION:

We have the value after tax, we must calculate the sum between the original value and the value equivalent to the established percentage, therefore, we calculate it like this:

[tex]\begin{gathered} p=80.99+80.99\cdot\frac{5.5}{100} \\ p=80.99+4.45 \\ p=\text{ \$85.44} \end{gathered}[/tex]

The final price is $ 85.44

May I please get help with this. I need help with finding the original and final points on the figure and also finding out where I should put my reflection?

Answers

Answer:

Step-by-step explanation:

The rule for a reflection over the y-axis is represented by the following equation:

[tex](x,y)\rightarrow(-x,y)_{}[/tex]

Therefore, for the given figure and given point:

Other Questions
which of the following expressions does not represent 7 + 7 + 7 + 7 + 7 if at optimum output of 1,000 units, the firm is incurring average variable cost per unit of $3, average fixed cost per unit of $1.50, and selling its output at $7 per unit, total profit is Individuals who score high in __________ tend to exhibit unpleasant emotions, such as anger and anxiety. Write an exponential expression equivalent to 8^3 that has a base of 2. you want to rearrange the furniture in your room. you use a coordinate plane to plan your changes. the vertices of the dresser are given below. Give the coordinates of the dresser after rotating the dresser 180* about the origin, translating 2 units left and 3 units up.A(-1,-1), B(2,-1), C(2,1), D(-1,1) HELP ASAP!!! I NEED IT RIGHT NOW PLEASE ANYONE!!! a desktop technician just fixed an issue where a computer would not connect to a network and verified the computer is communicating with the network again. what should the technician do now that will help with future troubleshooting efforts? Toms car has 11 1/9 gallons of gas. If he uses 3/8 of the gas, how much gas does the car have left? Factor Problem Completely 16n^3 - 56n^2 + 8n - 28 f(x)=-17x+2 and g(x)=x^2+1 find f(-7) + g(-7) Help me with this question please christmas for needy is a civic organization that provides christmas presents to disadvantaged children. the annual costs of this activity are $36,000, plus $20 per present. how many children will receive presents with a budget of $76,000? Order of OperationsIf you do not use the proper order of operations, you will not getthe correct answer.Write which operation should be done first.1.6 + 3 22.13 1 + 4 23.5 (7 2) + 14.(19 + 23) (4 5)For questions 5 through 8, evaluate the expression for x = 6 and y = 17.5.4x + 5y6.12x + (20 y)7.x 3 + y8.4y 2 + (8x + 10)9.Patty made $34 baby sitting on each of 3 weekends. If she spent $50 on giftsfor her family, how much money does she have left?10.Carlos solved 20 (2 6) + 8 4 = 29. Is this the correct answer? food being digested in the stomach is in a highly acidic environment. when the food is released from the stomach into the small intestine, why is the environment no longer acidic? Why is it important to prepare for the ACCUPLACER test? What are some of the skills and abilities the ACCUPLACER tests measure? What are the potential consequences of your performance on the test? Write an expression to represent the area for figure in #4.Simplify the expression.Find the area when x=2. The table shows a proportional relationship.x 12 8 24y 3 2 6Describe what the graph of the proportional relationship would look like. A line passes through the point (0, 0) and continues through the point (3, 12). A line passes through the point (0, 0) and continues through the point (2, 8). A line passes through the point (0, 0) and continues through the point (6, 24). A line passes through the point (0, 0) and continues through the point (12, 3). Block A in (Figure 1) has mass 0.900 kg , and block B has mass 3.00 kg . The blocks are forced together, compressing a spring S between them; then the system is released from rest on a level, frictionless surface. The spring, which has negligible mass, is not fastened to either block and drops to the surface after it has expanded. Block B acquires a speed of 1.35 m/s .Part A: What is the final speed of block A? Part B: How much potential energy was stored in the compressed spring? Picture translating A ABC three units to the left and five units up.What are the coordinates of A'?A(2,-2) (4.6s + 2)(3.5) = what is the answer Solve for c.6>c+8>5