Ann thought of a number N, multiplied it by 5 and added 7. Then she told the result R to Jim. Write a formula that will tell you the value of R for any value of N. Using the previous formula, write the formula that could help Jim guess Anne’s number N as soon as he is given the value of the result R


Answers

Answer 1

Answer:

[tex]R=5N+7[/tex]

[tex]\displaystyle N=\frac{R-7}{5}[/tex]

Step-by-step explanation:

Equations

The relation between the number thought by Ann (N) and the final result (R) can be expressed as

[tex]R=5N+7[/tex]

So if for example, Ann thought in the number N=12, then  

[tex]R=5\times 12+7=67[/tex]

If we know the value of R, it's easy to find back the value of N by solving the equation

[tex]R=5N+7[/tex]

subtracting 7 on each side

[tex]R-7=5N[/tex]

Dividing by 5

[tex]\displaystyle N=\frac{R-7}{5}[/tex]

So, if Ann tells Jim that R = 52, he can guess her number is

[tex]\displaystyle N=\frac{52-7}{5}[/tex]

[tex]N=9[/tex]

Answer 2

The formula for r, the value Jim hears, for any given value of n (Ann's number) is: r = 5n + 7

This formula breaks down as follows:

5n: This represents Ann multiplying n by 5.

+ 7: This represents Ann adding 7 to the result of multiplying n by 5.

r: This represents the final value, which Jim hears.

Therefore, by plugging any value of n into this formula, you can calculate the value of r that Jim would hear.


Related Questions

Jose has scored 632 points on his math tests so far this semester. To get an A for the semester, he must
score at least 726 points.
Part 1 out of 2
Enter an inequality to find the minimum number of points he must score on the remaining tests in
order to get an A. Let n represent the number of points Jose needs to score on the remaining tests.
The inequality is|
+n (select)
Next

Answers

Step-by-step explanation:

Jose need at least 94 more points in order to get an A on this semester

How fast should the ant walk to go around the rectangle in 4 minutes?
The ant should walk__ inches per minute.

Answers

Question:

How fast should the ant walk to go around the rectangle in 4 minutes if the sides are 12 inches and 16 inches

Answer:

The ant should walk 14 inches per minute

Solution:

Given that,

Dimensions of rectangle are 12 inches and 16 inches

Find the perimeter of rectangle

Perimeter = 2(length + width)

Perimeter = 2(12 + 16)

Perimeter = 2(28) = 56

Thus perimeter of rectangle is 56 inches

Time taken = 4 minutes

We have to find the speed at which ant covers 56 inches in 4 minutes

The speed is given by formula:

[tex]speed = \frac{distance}{time}[/tex]

[tex]speed = \frac{56}{4} = 14[/tex]

Thus the ant should walk 14 inches per minute

20. Coin Collecting The value of Gerald's coins is the
value of his brother's coins. Gerald's coins are worth $14.
What is the value of his brother's coins? Write and solve
an equation.

Answers

Answer:

$14

Step-by-step explanation:

if Gerald's coins have the same value as his brothers, then that means they have exactly the same amount

How do u solve y=296-10x and y=200+6x

Answers

Answer:

[tex]x = 6[/tex] and [tex]y = 236[/tex]

Step-by-step explanation:

[tex]y = 296 - 10x[/tex]

[tex]y = 200 + 6x[/tex]

By equating both equations, we get:

[tex]296 - 10x = 200+6x[/tex]

[tex]16x = 96[/tex]  [Separate variables and constants]

[tex]x = 6[/tex]

By substituting [tex]x = 6[/tex] to the above equation, we get:

[tex]y = 296 - 10(6)[/tex]

[tex]y = 296 - 60[/tex]

[tex]y = 236[/tex]

Hence, [tex]x = 6[/tex] and [tex]y = 236[/tex]

Chandra's heart beats 1860 times during 15 min of running. While resting, Chandra records her heart beating 36 times in 30 seconds what is the difference between Chandra's heart rate while running vs. resting?
A. 56 beats/min
B. 52 beats/min
C. 1912 beats/min
D. 1788 beats/min

Answers

Answer:

B. 52 beats/min

Step-by-step explanation:

while resting her heart beats : 36×2 = 72 beats/min

while running her heart beats : 1 860÷15 = 124 beats/min

difference = 124-72 = 52 beats/min

:)

Answer:

B. 52 beats/min

Step-by-step explanation:

To find the answer you have to find the bpm of each time that Chandra recorded her heart rate. So when she recorded her heart rate when running, you simply divide 1850 by 15, and you should get 123.333 (repeating) I am assuming by the answers that we are rounding, so we are going to round that answer up. Next to find her heart rate while resting, you take her heart rate in 30 seconds, which is 36, and multiply it by 2, because it was her heart rate in half of the time that we are measuring it in. So when you multiply 36 by 2 you should get 72. The next step is to subtract 124 from 72. You answer is 52.

What are the dimensions of a rectangular wall that can be constructed with 400 feet of brick that will maximize the area enclosed by that brick

Answers

Answer:

The dimensions of the wall are 100 ft x 100 ft

Step-by-step explanation:

we know that

The perimeter of a rectangular wall is

[tex]P=2(x+y)[/tex]

where

x is the length

y is the width

we have

[tex]P=400\ ft[/tex]

so

[tex]400=2(x+y)[/tex]

simplify

[tex]200=x+y[/tex]

[tex]y=200-x[/tex] ----> equation A

The area of a rectangular wall is equal to

[tex]A=xy[/tex] ----> equation B

substitute equation A in equation B

[tex]A=x(200-x)\\A=-x^2+200x[/tex]

This is the equation of a vertical parabola open downward (because the leading coefficient is negative)

The vertex represent a maximum

Convert the quadratic equation in vertex form

[tex]A=-x^2+200x[/tex]

Factor -1

[tex]A=-(x^2-200x)[/tex]

Complete the square

[tex]A=-(x^2-200x+100^2)+100^2[/tex]

[tex]A=-(x^2-200x+10,000)+10,000[/tex]

Rewrite as perfect squares

[tex]A=-(x-100)^2+10,000[/tex] ----> equation in vertex form

The vertex is the point (100,10,000)

The x-coordinate of the vertex represent the length of the wall for a maximum area

so

[tex]x=100\ ft[/tex]

Find the value of y

equation A

[tex]y=200-(100)=100\ ft[/tex]

therefore

The dimensions of the wall are 100 ft x 100 ft

Final answer:

To find the dimensions of a rectangular wall that maximizes the area enclosed by 400 feet of brick, you can use the formula for the area of a rectangle and find where the derivative of the area equation equals zero. By solving the resulting equations, you can determine the dimensions of the wall that will maximize the enclosed area.

Explanation:

To find the dimensions of a rectangular wall that maximizes the enclosed area with 400 feet of brick, we need to use the formula for the area of a rectangle, which is length times width. So, let's represent the width of the wall as x and the length as y. Since we have 400 feet of brick, we can write the equation 2x + 2y = 400. We can rearrange this equation to solve for y: y = (400 - 2x)/2. Now we have the area equation A = x * y,

which becomes A = x * ((400 - 2x)/2). To find the maximum area, we can take the derivative of A with respect to x and set it equal to zero: (400 - 4x)/2 = 0. Solving for x, we get x = 100. Substituting this back into the y equation, we find y = 100 as well. Therefore, the dimensions of the rectangular wall that maximize the area enclosed by the brick are 100 feet by 100 feet.

Add and write the fraction or mixed number in its simplest form 2/5+1/4+7/10=

Answers

Answer:

1   7/20   mixed= 27/20

Step-by-step explanation:

Solve the quadratic equation for x. What is one of the roots?

2x2 + 9x − 5 = 0
A) −
1
2
B) −
1
5
C)
1
2
D)
1
5

Answers

Final answer:

To solve the quadratic equation 2x² + 9x - 5 = 0, the quadratic formula is used, and after calculating the discriminant and applying the formula, one of the roots is found to be 1/2, which is option C.

Explanation:

To solve the quadratic equation 2x2 + 9x - 5 = 0, we can use the quadratic formula which is x = (-b ± √(b2 - 4ac)) / (2a). In this equation, a equals 2, b equals 9, and c equals -5.

Firstly, we need to calculate the discriminant: b2 - 4ac which is 92 - 4 * 2 * (-5) = 81 + 40 = 121.

Since the discriminant is a perfect square, we can proceed with the formula: x = (-9 ± √(121)) / (2*2). The square root of 121 is 11, so we have:

x1 = (-9 + 11) / 4 = 2 / 4 = 0.5 or 1/2x2 = (-9 - 11) / 4 = -20 / 4 = -5

Thus, one of the roots of the equation is 1/2, which corresponds to option C.

(-4-3n).-8
Need help

Answers

*Factoring the Expression

(-4-3n)-8
- Remove parentheses
-4-3n-8
- Calculate
-12-3n
- Factor the Expression

*Simplifying the expression

(-4-3n)-8
- Remove parentheses
-4-3n-8
- Calculate
-12-3n
- Factor Out


[tex]5 \times 5[/tex]

Answers

Step-by-step explanation:

[tex]5 \times 5= 25[/tex]

The quotient of a number and -5, decreased by 9, is 2

Answers

Hello there n ÷ 5 - 9  = 2!

Here's how i solved it:

The quotient of a number and -5, decreased by 9, is 2

"is 2" means the result is 2, so we can have one side of the equation set up to look like this: = 2.

The quotient of a number and -5, decreased by 9, is 2

This looks like: n ÷ 5

The quotient of a number and -5, decreased by 9, is 2

We are taking 9 away from the previous expression, so n ÷ 5 - 9

Putting it all together, we have: n ÷ 5 - 9  = 2

Final answer:

The algebraic mathematical problem is to solve the equation x/-5 - 9 = 2. Simplifying this equation through a series of algebraic steps gives the result x=-55.

Explanation:

The subject of your question is algebra, a branch of mathematics. You are looking for a number which, when divided by -5 and then decreased by 9, equals 2. The equation that represents this problem is x/-5 - 9 = 2.

To solve for x, we would first get rid of the -9 from the left side of the equation. We do this by adding 9 to both sides of the equation. We then have x/-5 = 2 + 9, which simplifies to x/-5 = 11.

Next, we isolate x by multiplying both sides of the equation by -5. We now get x= -5*11, which gives x = -55. Thus, the number x that satisfies this equation is -55.

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Due to financial difficulties the owner of 4 skateboard stores is going to close 2 of his stores. Based on the money earned at each store, which two stores should remain open?
A) Ben's Boards and Skateaway
B) Skateaway and Great Skates
C) Skateaway and Discount Sports
D) Discount Sports and Ben's Boards

Answers

Answer:

B

Step-by-step explanation:

Because, according to the graph, they are making the most sells.

If three workers paint a house in 12 hours how long will it take 5 painters to paint the same house

Answers

Answer:

60 hours

Step-by-step explanation:

you multiply 5×12 and then you get 60

How many solutions does the system of equations have 4x+2y=-8 2x+y=4 explain your answer

Answers

Answer:

x=-y/2

Step-by-step explanation:

1. The value of a variable that makes an equation true.

2. In chemistry, a solution is a homogeneous mixture composed of only one phase

Can someone help me plzzzz!

Answers

8.2is the answer

Step-by-step explanation:

|CB|+8

(1 point)
10. A sample of 20 silver dollar coins is weighed. The mean of the sample is 8.0710 g and the standard deviation of the sample is 0.0411 g. Construct a 95% confidence interval estimate of the mean weight of all the coins.

a) 7.6675g
b) 8.0518g
c) 8.0447g
d) 8.0329g

Answers

Answer:

Step-by-step explanation:

i think its b or c

The confidence interval of the mean weight of all the coins is 8.0518g. The correct option is B.

What is a confidence interval?

A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. A confidence interval is calculated at a specified confidence level; the 95% confidence level is most commonly used, but other levels, such as 90% or 99%, are occasionally used.

Given that a sample of 20 silver dollar coins is weighed. The mean of the sample is 8.0710 g and the standard deviation of the sample is 0.0411 g.

The confidence interval is calculated by the formula:-

CI = X ± z (S / √n)

CI = 8.0710 ± [ (1.96 x 0.0411) / √20 ]

CI = 8.0710 - 0.018

CI = 8.053 g

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What is equivalent to 10/24

Answers

Answer:5/12

Step-by-step explanation:

If you cut 10 ( the numerator) in half you get 5 and if you cut 24(the denominator) in half you get 12

Answer:

15/36

Step-by-step explanation:

1536 is equivalent to 10/24 because 15 x 24 = 36 x 10 = 360. 2048 is equivalent to 1024 because 20 x 24 = 48 x 10 = 480.

What is angle A? 313 degrees 133 degrees 143 degrees 147 degrees

Answers

133 is the Answer bc that is a supplementary angle and supplementary angles always sum up to 180 hope this helps please mark brainliest

Step-by-step explanation:

Referring to the figure, evaluate the expression shown.
a. (-3) b. 7 c. -3 d. 3

Answers

Answer:

d

step-by-step explanation:

Answer- D -millie cooper

Two supplementary angles have measures that are in the ratio of 5 to 7. Find the measure of the smaller angle

Answers

Measure of the smaller angle is 75°

Step-by-step explanation:

Step 1: Sum of supplementary angles is 180°. Given ratio of angles is 5:7.

Let angles be 5x and 7x.

⇒ 5x + 7x = 180

⇒ 12x = 180

x = 15

Step 2: Calculate smaller angle which is 5x

⇒5x = 5 [tex]\times[/tex] 15 = 75°

Final answer:

To find the measure of the smaller supplementary angle, when the ratio of the two angles is 5:7, you need to set up an equation with 5x and 7x as the angle measures. Solve this equation to find the value of 'x', and then use 'x' to calculate the measure of the smaller angle, which amounts to 75 degrees.

Explanation:

In this mathematics problem, we know that two angles are supplementary if their measures add up to 180 degrees. If the ratio of the two supplementary angles is 5:7, we can set up an equation to solve for the unknowns.

Let 5x represent the measure of the smaller angle and 7x represent the measure of the larger angle. We know that the sum of these two angles should be 180 degrees, thus:

5x + 7x = 180

Combining like terms, we get:

12x = 180

Now, we can solve for 'x' by dividing both sides of the equation by 12:

x = 180 / 12, which equals 15

Now that we know the value of 'x', we can plug it back in to find the measures of the two angles. The smaller angle, which is 5x, is then:

5x = 5 * 15, which equals 75 degrees

So the measure of the smaller angle is 75 degrees.

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Which of the following accurately describes the square root of 10?
1. It is rational
2. it is an integer.
3.It is a whole number.
4. It is irrational.

Answers

Answer:

4

Step-by-step explanation:

√10  is a irrational number

Final answer:

The square root of 10 is an irrational number because it is a non-terminating, non-repeating decimal that cannot be expressed as a simple fraction. It lies between the integers 3 and 4 on the number line.

Explanation:

The square root of 10 is an example of an irrational number. Unlike integers and whole numbers, which are exact and do not have an ending decimal or fraction, and unlike rational numbers which can be written as a ratio of two integers (like 1/2 or 3/4), an irrational number cannot be expressed as a simple fraction.

The square root of 10 cannot be precisely written as a fraction because it is a non-terminating, non-repeating decimal. In other words, if we were to write out the decimal form of the square root of 10, it would have an infinite number of digits after the decimal point without any repeating pattern.

For a real-world example, consider that knowing whether a number is rational or irrational can influence how we represent that number in various contexts, such as in engineering or architecture, where precision is paramount.

What is 2/2 simplified

Answers

Answer:1

Step-by-step explanation:just divide numerator by denominator

It’s one whole because

There are 6 cookies in 1 bag. How many cookies are in 5 bags?

Answers

Answer:

30

Step-by-step explanation:

Write the inequality shown in the graph below:

Answers



X is less then or equal to 5

What is an example of a situation that you might not be able to use an equation with a single unknown to understand?

Answers

Answer:

An example of a situation that you might not be able to use an equation with a single unknown is

[tex]x = \ln{e^x}[/tex]

Step-by-step explanation:

An example of a situation that you might not be able to use an equation with a single unknown is

[tex]x = \ln{e^x}[/tex]

The identity on both sides which results in 1 = 1 and thus the equation is not usable.

Final answer:

A situation where an equation with a single unknown cannot be effectively used is when you need to explore or solve multiple variables or dimensions, like best represented by physics-related problems. The number of unknowns should not exceed the number of equations for correct problem-solving. Equations with a single unknown may not always suffice, especially for problems involving various dimensions or variables.

Explanation:

An example of a situation where you may not be able to use an equation with a single unknown to understand is a problem that involves multiple elements or dimensions needing exploration. For instance, in physics, if you're calculating an object's motion, you may need to take into account various forces acting on it, its initial velocity, its acceleration, and the time. No single equation with just one unknown can solve this problem; you would need multiple equations to represent each of these dimensions.

Remember that the number of unknowns should not be larger than the number of equations. Otherwise, the problem can't be solved. Therefore, the complexity of your problem can sometimes make it impossible to use an equation with a single unknown. Physics is often an area where this is true, due largely to the dimensional consistency of equations.

Nevertheless, equations with a single unknown can often be combined together or manipulated to solve specific problem-solving strategies. Overall, while an equation with a single unknown is a powerful tool, it may not always be sufficient to understand every situation, especially those involving multiple dimensions or variables.

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Anyone know this.

What is the negation of the following statement?
A triangle cannot contain two obtuse angles.


A. A triangle can contain two obtuse angles.


B. A triangle does not contain two obtuse angles.

Answers

Answer:

it's B

Step-by-step explanation:

a triangle cannot two obtuse angles

A traingle does not contain two obtuse angles. Option B is correct.

What is the triangle?

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°.

Here,
A triangle cannot contain two obtuse angles.

A triangle cannot have the two obtuse angle, becaue for a triangle sum of the iternal angle must not exceeds 180°

Thus, A traingle does not contain two obtuse angles. Option B is correct.

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If there are 46 scores in a set of data, in which position will the lower quartile lie

Answers

Answer:

Position 12.

Step-by-step explanation:

It will be n the center of the bottom 23 numbers ( when the data is arranged in ascending order).

That is in position 12.

At a holiday camp, the ratio of boys to girls is 3: 4 and the ratio of girls to adults is 5: 7
What is the ratio of children to adults at the camp?

Answers

Final answer:

The ratio of boys to girls (3:4) and girls to adults (5:7) leads to a combined ratio of children to adults at the holiday camp of 5:4 after aligning the ratios on the common term for girls and simplifying.

Explanation:

To determine the ratio of children to adults at the holiday camp, we can use the given ratios:

Ratio of boys to girls: 3:4Ratio of girls to adults: 5:7

First, express both ratios with a common term for girls to combine them accurately:

Since the ratio of girls to adults is 5:7, we can align this with the boys to girls ratio by multiplying the boys to girls ratio by 5 (the common term for girls). This gives us:

Ratio of boys to girls (multiplied by 5): 15:20Ratio of girls to adults: 20:28

So, we have 15 boys and 20 girls for every 28 adults. The total number of children (boys and girls) is 15 + 20 = 35.

Therefore, the ratio of children to adults at the camp is 35:28, which simplifies to 5:4 after dividing both terms by 7.

Which expression is not a polynomial?
x-1
4+p
5x² - x
8x - z3

Answers

The given question have mistake.

Question:

Which expression is not a polynomial?

(1) x – 1

(2) 4 + p

(3) [tex]5x^2-\sqrt x[/tex]

(4) [tex]8x-z^3[/tex]

Answer:

[tex]5x^2-\sqrt x[/tex] : Not a polynomial

Solution:

Definition of polynomial:

A polynomial can have constants, variables and exponents.

Constants = 2, 5

Variables = x, y, z

Exponents = [tex]x^2[/tex]

Not a polynomial:

Roots, fractions in power, negative powers and dividing by a variable are not polynomials.

Given expressions:

(1) x – 1 : Polynomial

(2) 4 + p : Polynomial

(3) [tex]5x^2-\sqrt x[/tex] : Not a polynomial

(4) [tex]8x-z^3[/tex] : Polynomial

Hence in the given expressions [tex]5x^2-\sqrt x[/tex] is not a polynomial.

In the diagram above which two red lines are parallel.!?

Answers

Answer:L F and K G

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The answer is not A because:

lines gk and kg are the same line

The answer is not B because:

lines il and gk are perpendicular if they were to touch

The answer is not C because:

line fl and il are perpendicular

The answer IS D because:

lines fl and gk are parallel because they will never touch

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