4. Mark's age, when doubled, is Peggy's age. Peggy is 6 years older than Chris. Chris is 6 years older than
Mark. How much older is Peggy than Mark?

Answers

Answer 1
Peggy is 3 years older than mark .

Related Questions

Which one of these expressions doesn’t have a value less than 1 please help thank you if u do

Answers

Option D which is [tex](3^{5} )^{2}/3^{4}[/tex] doesn’t have a value less than 1 .

What are exponential power?

A number's exponent demonstrates how many times we are multiplying a given number by itself. 34, for instance, indicates that we are multiplying 3 by four. 3333 is its expanded form. The power of an integer is another term for an exponent. A whole number, fraction, negative number, or decimal are all acceptable. How frequently a number is multiplied by itself is indicated by its exponent. As 2 is multiplied by itself 4 times, 2222 might be expressed as 24, for instance. The "base" in this case is 2 and the "exponent" or "power" is 4. The general definition of xn is "x multiplied by itself n times."

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pls help!!
6cm, 5cm, 9cm

Answers

Answer: √34

Explanation: (image below)

kid had 10 apples and he gic

Answers

Answer:

The meal cost $14.51 per person.

Step by step explanation:

Meal cost: 46.72

Sales tax: 8%

Then.

then we take out 8% of the value

[tex]46.72\text{ x 0.08 =3.74}[/tex][tex]46.72+3.74\text{ = 50.46}[/tex]

Tip : 15% (meal and sales tax)

[tex]50.46\text{ x 0.15 = 7.57}[/tex][tex]50.46\text{ + 7.57 = 58.03}[/tex]

There are 4 people.

[tex]\frac{58.03}{4}=14.51[/tex]

The coordinates of the vertices of a quadrilateral are P (5,2), S (5,-6), H(-6-1), and B (-6,4). The figure is rotated 360° counterclockwise with the origin as the center of rotation to create quadrilateral P'S'H'B'

What are the coordinates of the vertices of quadrilateral P’S’H’B’?

P’ =
S’ =
H’ =
B’ =

Answers

Answer is
P’ = (5,2)
S’ = (5, -6)
H’ = (-6, -1)
B’ = (-6, 4)

Reason

The rotation of a point (x, y) by 360 degrees does not change its coordinates, it makes a complete circle or rotation around the origin. This rotation is represented by the coordinate transformation rule

(x, y) → (x, y)

What is the absolute value of -6? Use the number line to help answer the question.
-6
07
6543210
st
4+
3+
2+
7777777

Answers

Answer:

your answer is in the screenshot

Step-by-step explanation:

Determine the relative frequency for the third class as a simplified fraction

Answers

GIVEN:

We are given a frequency distribution table showing different classes of hours of study and the frequency of each class of data.

Required;

To determine the relative frequency for the third class

Step-by-step solution;

For a relative frequyency, we need to find the number of times an event occurs and express it as a fraction of the total events that occured in the survey/experiment.

The events in this case are hours of study and the occurrence is the total frequency for all classes of hours of study.

The total frequency is;

[tex]3+10+6+15+6=40[/tex]

The relative frequency for the third class therefore would be;

[tex]\begin{gathered} Relative\text{ }Frequency_3=\frac{6}{40} \\ \\ Relative\text{ }Frequency=\frac{3}{20} \end{gathered}[/tex]

ANSWER:

The relative frequency of the third class therefore is

[tex]\frac{3}{20}[/tex]

Help me please i need help with my math hw

Answers

Answer:

answer of 1st picture

second is not under standing much

A box of cereal states that there are
78 calories in a
3
4
​-cup serving. What is the unit rate for calories per​ cup? How many calories are there in
4 cups of the​ cereal?

Answers

The unit rate for the cereal is  104 calories per cup and there are 416 calories in 4 cups

How to determine the unit rate for the cereal?

From the question, the given parameters are

Calories = 78 calories

Size of cups = 3/4-cup

The unit rate of the calories per cup is calculated as

Unit rate = Number of Calories/Size of cup

Substitute the known values in the above equation

So, we have the following equation

Unit rate = 78/(3/4)

Evaluate the quotient

So, we have the following equation

Unit rate = 104

So, the unit rate is 104 calories per cup

For four cups of cereal, we have

Calories = 104 x 4

Evaluate

Calories = 416

So, the number of calories is 416 calories

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Morgan can make 4 cupcakes with 1 cup of flour. How many cupcakes can she make with 18 cups of flour?

Answers

She can make 72 cupcakes. 4 times 18 = 72

Answer: She can make 72 cupcakes.

Step-by-step explanation:

HELP ME PLEASE I NEED HELP I DONT KNOW HOW TO DO THIS

Answers

Answer:

convert miles to kilometers by multiply by 1.61 covert kilometers to miles by devide by 0.62

(if am not wrong)

Solve for d.
4d - 5 = 11

Answers

Answer:

d = 4

Step-by-step explanation:

4d - 5 = 11

a) Subtract 5 from both sides.

-5 + 5 = 11 + 5

4d = 16

b) Divide both sides by 4.

4d/4 = 16/4

16/4 = 4

Therefore, you're answer will be 4.

Please helppp as fast as possible 20 points ***
FIND THE DOMAIN & RANGE OF THE FUNCTION
g(x)=|x + 4|

Please helppp as fast as possible

Answers

Answer:

Domain: (−∞,∞),{x | x ∈ R}

Range: [0,∞),{y|y≥0}

Step-by-step explanation:

Use identities to find tan, csc, sec, and cot. Where necessary, rationalize denominators

Answers

We are given:

[tex]sin\text{ }\theta=\frac{3}{5},cos\text{ }\theta=\frac{4}{5}[/tex]

The tangent is defined as the ratio of the sine and the cosine:

[tex]tan\text{ }\theta=\frac{sin\text{ }\theta}{cos\text{ }\theta}[/tex]

Calculating:

[tex]\begin{gathered} tan\text{ }\theta=\frac{\frac{3}{5}}{\frac{4}{5}}=\frac{3}{5}\cdot\frac{5}{4} \\ \\ tan\text{ \theta}=\frac{3}{4} \end{gathered}[/tex]

The cotangent is the reciprocal of the tangent:

[tex]\begin{gathered} \cot\theta=\frac{1}{\tan\theta} \\ \\ \cot\theta=\frac{1}{\frac{3}{4}}=\frac{4}{3} \end{gathered}[/tex]

The secant is the reciprocal of the cosine:

[tex]\begin{gathered} \sec\theta=\frac{1}{\cos\theta}=\frac{1}{\frac{4}{5}} \\ \\ \sec\theta=\frac{5}{4} \end{gathered}[/tex]

The cosecant is the reciprocal of the sine:

[tex]\begin{gathered} \csc\theta=\frac{1}{\sin\theta}=\frac{1}{\frac{3}{5}} \\ \\ \csc\theta=\frac{5}{3} \end{gathered}[/tex]

How do you find average speed from aHow do you find average speed from a distance time graph?\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\ distance time graph?

Answers

An average speed can be calculated from a distance time graph through the division is change in distance and change in its corresponding time.

What is distance time graph?

A distance time graph is a type of graph that show the distance covered by an object with respect to time.

When plotting a distance time graph, the distance is plotted in the y-axis while time is plotted of the X -axis and a suitable scale of used to fill in the observed figures.

Speed is the product of distance travelled by an object with respect to its time. Therefore, an average speed can be calculated through the division is change in distance and change in its corresponding time.

That is ; average speed= ∆speed/∆ time

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2 ÷ 125.1

Round the answer to 3 decimals

Answers

ANSWER = 0.016


2/125.1 = 0.01598721023

Round that to 3 decimal places:

0.016

HOWEVER - If you need the answer to 3 significant figures, it would be:

0.0160

What are the lengths of the major and minor axes of the ellipse?

(x−3)212+(y+4)224=1

Drag a value to the boxes to correctly complete the table.

Answers

The lengths of the major and minor axis of the ellipse, [tex] \displaystyle{ \frac{ {(x - 3)}^{2} }{12} +\frac{ {(y + 4)}^{2} }{24} = 1}[/tex] are;

Length of major axis; 4•√6Length of minor axis; 4•√3

What is an ellipse in coordinate geometry?

An ellipse describes the locus of a point on a curve, such that the sum of the distance from two focal points from the points on the curve is a constant.

The given given function of the ellipse can be presented as follows;

[tex] \displaystyle{ \frac{ {(x - 3)}^{2} }{12} +\frac{ {(y + 4)}^{2} }{24} = 1}[/tex]

The above equation can be compared to the standard equation of an ellipse as follows;

[tex] \displaystyle{ \frac{ {(x - h)}^{2} }{ {b}^{2} } +\frac{ {(y - k)}^{2} }{ {a}^{2} } = 1}[/tex]

Where;

(h, k) = The coordinates of the center of the ellipse

a = The length of the semi major axis

b = The length of the semi minor axis

By comparison, we have;

(h, k) = (3, -4)

a = √(24) = 2•√6

b = √(12) = 2•√3

The length of the major axis = 2•a

The length of the minor axis = 2•b

The length of the major axis is therefore;

2•a = 2 × 2•√6 = 4•√6

The length of the minor axis is therefore;

2•b = 2 × 2•√3 = 4•√3

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If mDH =(11x + 7) degrees , mGF = (5x + 9) degrees , and mEF = (10x - 22) degrees, find mDH

Answers

For this problem we use the arcs and chords theorem we know that

[tex]\begin{gathered} \measuredangle H\text{EF=}\frac{1}{2}(mGF+mDH) \\ \text{Substituting }\measuredangle HEF=10x-22,\text{ mGF=5x+9 and mDH=11x+7 we get} \\ 10x-22=\frac{1}{2}(5x+9+11x+7) \end{gathered}[/tex]

Solving for x we get:

[tex]\begin{gathered} 10x-22=\frac{1}{2}(16x+16)=8x+8 \\ 2x=30 \\ x=15 \end{gathered}[/tex]

Finally, we substitute x for mDH=(11x+7) degrees=(11*15+7) degrees=172 degrees.

mDH=172 degrees.

what is the median of this data set?[13,13,13,15,15,16,16,17,17]

Answers

Given the following data set:

[13,13,13,15,15,16,16,17,17]​

Let's determine the median.

Step 1: Arrange the data points from smallest to largest.

The set is already arranged in ascending order.

[13,13,13,15,15,16,16,17,17]​

Step 2:

a.) If the number of data points is odd, the median is the middle data point in the list.

b.) If the number of data points is even, the median is the average of the two middle data points in the list.

There are 9 data in the set, it is odd. The middle data is the 5th data.

[13,13,13,15,15,16,16,17,17]​

The 5th data is 15.

Therefore, the median of the given set of data is 15.

1. Graph the system of constraints and find the value of x and y that maximize the objective function.

Constraints { x ≥ 0; y ≥ 0; y ≤ 1/5 x + 2; 5 ≥ y + x
Objective Function: C = 7x - 3y

A. (0, 0)
B. (2, 3)
C. (5, 0)
D. (0, 3)

Answers

The point in the feasible region maximizes the objective function is (5, 0)

How to determine the feasible region?

The given parameters are

Objective function: C = 7x - 3y

Subject to (i.e. the constraints)

    x ≥  0, y ≥ 0

    y ≤ 1/5x + 2, 5 ≥ y + x

Next, we plot the graph of the constraints (see attachment)

This is done by entering the inequalities in a graphing calculator

From the graphing calculator, we have the feasible regions to be

(5, 0), (2.5, 2.5) and (0, 5)

Substitute (5, 0), (2.5, 2.5) and (0, 5) in the objective function: C = 7x - 3y

So, we have

(5, 0): C = 7(5) - 3(0)

C = 35

(2.5, 2.5): C = 7(2.5) - 3(2.5)

C = 10

(0, 5): C = 7(0) - 3(5)

C = -15

The value 35 is greater than 10 and -15

The coordinates at this value are (5, 0)

Hence, the coordinates is (5, 0)

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Which of the following is a disadvantage of using a check casher, compared to a bank?
Responses

You wait longer to get your money at a check casher than at a bank
You wait longer to get your money at a check casher than at a bank

You pay a higher fee to cash checks at a check casher than at a bank
You pay a higher fee to cash checks at a check casher than at a bank

You can only cash checks worth more than $500 at a check casher
You can only cash checks worth more than $500 at a check casher

You can cash fewer checks at a check casher than at a bank

Answers

The main disadvantage of using a check cashier is that, 'You pay a higher fee to cash checks at a check casher than at a bank'

Check casher;

A check casher is someone who works in the check-cashing industry, with the exception of someone who doesn't cash checks for others on any one day that total more than $1,000 in cash, money, or other assets.

Disadvantage of Check cashers;

Fees for cash checking services can be as low as $1 or as much as 2% of the check amount depending on where you are. These costs reduce one's capacity to make ends meet or have extra money available. Always be aware of the prices and fees before using a check cashing service.

That is,

The main disadvantage of using a check cashier is that, 'You pay a higher fee to cash checks at a check casher than at a bank'

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Mrs. brown is putting different colored sand into cups for 4 daughters to make sand art bottles . pink is 3/4 and purple is 1/2. each color is divided equally among the daughters how much more pink sand will be available than purple sand for each girl

Answers

Using mathematical operations, we can say that the extra pink sand avaliable to each girl is 1/16.

What are mathematical operations?A function in mathematics known as an operation is one that transforms zero or more input values into a clearly defined output value. The operation's complexity is determined by its operand count. The rules that specify the order in which we should perform several operations to solve an expression are known as the order of operations. Parentheses, Exponents, Multiplication, Division (from left to right), Addition, and Subtraction are in the following order: PEMDAS (from left to right).

So, more pink sand is available to each girl:

Pink sand is 3/4 and purple sand is 1/2.

Sand available to each girl:

Pink: 3/4 ÷ 4 ⇒ 3/4 × 1/4 ⇒ 3/16Purple: 1/2 ÷ 4 ⇒ 1/2 × 1/4 ⇒ 1/8

Pink sand more to each girl:

3/16 - 1/83 - 2/161/16

Therefore, using mathematical operations, we can say that the extra pink sand avaliable to each girl is 1/16.

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B. Write S if the expression is a sum of two cubes, D if a difference of two cubes, and N if neither.
1. 27x⁶ + y³=
2. 81 - b¹⁵=
3. 64x³ - 9z⁹=
4. 36m¹² - n⁶
5. 1 - d¹²=
6. 729 - y²⁹=
7. 343 - y⁶=
8. 4x³ + 8 =
9. 144 -125y² =
10. 64j⁶- k⁹=​​​

Answers

Answers:

SNNNDNDNND

==========================================================

Explanation:

Question 1

27x^6 = (3x^2)^3 which is one cube and y^3 is another cube

Therefore 27x^6+y^3 is a sum of two cubes.

It might help to think of it like A^3+B^3 where in this case A = 3x^2 and B = y.

----------------------------------------

Question 2

81 isn't a perfect cube since 81^(1/3) = 4.3267 approximately, which isn't a whole number. We need 81^(1/3) to be a whole number if we wanted 81 to be a perfect cube.

We don't even need to check b^15 since 81 being a non-perfect cube means the entire expression cannot be a sum of two cubes, nor a difference of cubes.

----------------------------------------

Question 3

64x^3 = (4x)^3 is a perfect cube

but 9z^9 is not a perfect cube

We can see this if we computed 9^(1/3) and the result is a non-whole number.

The answer here is the same as the previous question.

----------------------------------------

Question 4

36^(1/3) is not a whole number, so 36 isn't a perfect cube. By extension  36m^12 isn't a perfect cube either. The answer is the same as questions 2 and 3.

----------------------------------------

Question 5

1 is a perfect cube since 1 = 1^3

d^12 is a perfect cube because d^12 = (d^4)^3

Therefore, we have a difference of two cubes.

----------------------------------------

Question 6

729^(1/3) = 9 which rearranges to 9^3 = 729, showing 729 is a perfect cube.

However y^29 is not a perfect cube since the exponent 29 is not a multiple of 3.

The overall expression is "neither".

----------------------------------------

Question 7

343^(1/3) = 7 rearranges to 7^3 = 343, showing 343 is a perfect cube

y^6 is a perfect cube since (y^2)^3, i.e. the exponent 6 is a multiple of 3.

We have a difference of cubes.

----------------------------------------

Question 8

4 isn't a perfect cube since 4^(1/3) results in some decimal value that isn't a whole number. The entire expression is neither a sum nor difference of cubes.

----------------------------------------

Question 9

144^(1/3) isn't a whole number, so we get a similar result to problem 8.

----------------------------------------

Question 10

64j^6 = (4j^3)^3 is one cube

k^9 = (k^3)^3 is another cube

We have a difference of cubes

Solve for x. Show your work.

Answers

Answer:

x = 35°

Step-by-step explanation:

Hello!

The sum of the two angles is 90°, so if we set the sum of the two angles to 90, we can solve for x.

Solve for x90 = 32 + 2x - 1270 = 2x35 = x

The value of x is 35°.

So my grades keep going down
Whats the best way to study

Answers

Answer:

Step-by-step explanation:

study

2/3×4/5 by using fraction bar step bystep

Answers

Answer: 8/15

Step-by-step explanation:

2/3 x 4/5, multiply numerators and denominators

8/15 or 0.533

8/15 is your answer creds to the guy above

Graphs present information to the reader
True
False

Answers

Answer:True

Step-by-step explanation:Graphs show information about information  about the topic you are reading\researching so true they show you a lot of info on the topic.

Answer:True

Step-by-step explanation:Graphs show information about information  about the topic you are reading\researching so true they show you a lot of info on the topic.

one thousand two hundred and seventy deer are living on an island that is eight hundred and thirty square kilometers in size. what is the population density of the deer per square kilometer?

Answers

the answer is 1.53
you divide the population by the size, and in turn you would get 1.53
hope this helped!! :)

What is the area of the triangle?

Answers

26x30/2=390 so the area would be 390
86

P=a+b+c=30+26+30=86

How many vertices does a triangle prima have?

Answers

A triangle prima has six vertices. A triangular prism has five faces, three rectangular and two triangular, nine vertices, and six edges.

What is triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental shape in geometry. Triangle ABC denotes a triangle with vertices A, B, and C. In Euclidean geometry, any three non-collinear points determine a unique triangle and, by stretching, a unique aircraft. Triangles are three-sided polygons with three vertices. The angles of the triangle are formed by connecting the three sides end to end at a point. The sum of the triangle's three angles equals 180 degrees. You've seen that a triangle is a simple closed curve made up of three line segments. It is made up of three vertices, three sides, and three angles.

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which is an equation of the line through the origin and (-5,6)

Answers

The equation of a line through the origin and (-5,6) is y =  -1.2x

How to determine the equation

It is important to note that the equation of a line is expressed as;

y = mx + c

Where;

y is the point on the y - axism is the slope of the linex is the point on the x - axisc is the intercept on the y axis

From the information given, we have the points;

(0, 0) and ( -5, 6)

The formula for slope is given as;

slope, m = y₂ - y₁/ x₂ -x₁

slope, m = 6 - 0/ -5 - 0

slope, m = 6/ -5

slope, m = - 1. 2

To determine the intercept, we have;

6 = -1. 2(-5) + c

expand the bracket

c = 6 - 6

c = 0

The equation is given as;

y = -1.2x

Hence, the equation is y = -1.2x

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