greg is 5yr. older than randy, who is 3yr. older than Wilson. the sum of their ages is 32. how old is greg

Answer: The answer to your question is: 1 quart = $2.56

Step-by-step explanation: data

3-gallon cost = $30.72

cost of 1 quart = 2.56

Rule of three

                   1 gallon ---------------  4 quarts

                   3 gallons ---------------    x

                x = 12 quarts

               12 quarts --------------- $30.72

                 1 quart ----------------    x

x = 1x 30.72 / 12 = $ 2.56

Answer:

what type of math is it?

Step-by-step explanation:

Answer:

y=x-2

Step-by-step explanation:

the equation for slope intercept is y=mx+b, where m is the slope and b is the y intercept. The y intercept is -2, (where the line comes in contact with the x axis) and the slope is determined from the equation y2-y1/x2-x1 (rise over run) With this, we can see the slope is 1. hope this helps

Answer: 64

Step-by-step explanation: 4160/65                                                                     64

Answer:

about 240.8551 mm

Step-by-step explanation:

2.1 The volume in ml of one can of cold drink is 83 ml.

2.2 The height of the cooler bag is 18 cm.

2.3 The volume in ml of the cooler bag if the breadth of the bag is 12 cm and the length 18 cm is 3,888 ml.

2.4 The circumference of the can is 18.84 cm.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

By substituting the given side lengths into the volume of a cylinder formula, we have the following;

Volume of can = 3.14 × (6/2)² × 8.84

Volume of can = 83.27 cm³.

Note: 1 cm³ = 1 ml

Volume of can in ml = 83.27 ≈ 83 ml.

Part 2.2.

For the height of the cooler bag, we have:

Height of cooler bag = 2 × height of can

Height of cooler bag = 2 × 8.84

Height of cooler bag = 17.68 ≈ 18 cm.

Part 2.3

Volume of cooler bag = length × breadth × height

Volume of cooler bag = 18 × 12 × 18

Volume of cooler bag = 3,888 ml.

Part 2.4

The circumference of the can is given by:

Circumference of circle = 2πr

Circumference of can = 2 × 3.14 × 3

Circumference of can = 18.84 cm.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

The equation of the line we want to write is 4y = -x + 22

Step-by-step explanation:

Here, we want to write the equation of a line

.

The standard equation of a straight line is given as:

y = mx + c

where m is the slope and c represents the y-intercept

Now, let’s look at the line y = 4x + 16

The slope of this line is 4

Now, the equation of the line we want to write is perpendicular to this line

When two lines are perpendicular, the product of their slopes = -1

Hence;

m * 4 = -1

m = -1/4

So the slope of the line we want to write is -1/4

Now, using the point-slope form for the new equation;

y-y1/x-x1 = m

From the point given (x1,y1) = (10,3)

Thus;

y-3/x-10 = -1/4

4(y-3) = -1(x - 10)

4y - 12 = -x + 10

4y = - x + 10 + 12

4y = -x + 22

In order for them to raise the same amount of money, they will need to sell 12 bags of cookies.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

If x is no of bags of cookies must they sell in order for them to raise the same amount of money;

For sister 1 ;

You start out with $24 and sell each bag of cookies, c, for $3.The amount of money the person raised;

y = $ 24 +  ($3 / bag)x

y=24+ 3x

For case 2;

y=  $ 0+  ($5 / bag)x

y=5x

If both raise the same amount of money(y) then;

24 + 3x = 5x

5x-3x=24

2x=24

x=12

Hence, the number of bags of cookies will be 12 must they sell in order for them to raise the same amount of money.

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Answer: \(\dfrac{15}{18},\dfrac{17}{18}\)

Step-by-step explanation:

Given fractions: \(\dfrac56\)   and \(\dfrac79\)

Denominators: 6 and 9 respectively.

Both numbers are multiples of 3.

6= 2 x 3

9 = 3 x 3

Least common multiple of 6 and 9 = 3x 3 x2 = 18

\(\dfrac{5}{6}\times\dfrac{3}{3}=\dfrac{15}{18}\)                   ,  \(\dfrac{7}{9}\times\dfrac22=\dfrac{17}{18}\)

The required fractions with common denominators: \(\dfrac{15}{18},\dfrac{17}{18}\)

Answer:

Step-by-step explanation:

thats wrong

Answer:

15/28 loads of laundry needs to be washed.

Step-by-step explanation:

2/7 + 1/4

=  

2 × 4 + 1 × 7

7 × 4 + 4 × 7

=  

8/28 + 7/28

=  

8 + 7/ 28

=  

15/28

Check the picture below.

\(\textit{internal division of a segment using a fraction}\\\\ C(\stackrel{x_1}{1}~,~\stackrel{y_1}{2})\qquad D(\stackrel{x_2}{-4}~,~\stackrel{y_2}{-2})~\hspace{8em} \frac{1}{4}\textit{ of the way from }C\to D \\\\[-0.35em] ~\dotfill\\\\ \stackrel{~\hfill \textit{component form of segment CD}}{ (\stackrel{x_2}{-4}-\stackrel{x_1}{1}, \stackrel{y_2}{-2}-\stackrel{y_1}{2})\qquad \implies \qquad (-5~~,~~-4)} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{~\hfill \textit{values to be added to Point C coordinates}} {\cfrac{1}{4}(-5~~,~~-4)\implies \cfrac{1}{4}(-5)~,~\cfrac{1}{4}(-4)\qquad \implies \qquad \left(-\frac{5}{4}~~,~~-1\right)} \\\\\\ \stackrel{\textit{addition of Point C coordinates and values}~\hfill } {\left(-\frac{5}{4}~~,~~-1\right)+\left( 1~~,~~2\right) \implies \left(-\frac{5}{4}+1~~,~~-1+2 \right)}\implies \underset{\stackrel{\uparrow }{x}\qquad }{\left(-\frac{1}{4}~~,~~1 \right)}\)

Solution:

Given the figure;

Then;

CORRECT ANSWER: Corresponding Angles Theorem

Answer:

y = 2x - 4

Step-by-step explanation:

We'll write our equation in y = mx + b form, with m being the slope and b being the y-intercept. We already know our slope, so we can replace m with 2 like this: y = 2x + b. But we don't know what b is. We can use the point (3, 2) to figure out b's value, since it has an x-value (3) and a y-value (2):

2 = 2(3) + b

2 = 6 + b

-4 = b

So we have y = 2x + (-4), or y = 2x - 4.

Hopefully that was helpful! If you have more questions, let me know.

Answer:

Your tip would be $6.60

Step-by-step explanation:

Answer:

$39.60 i think :))

Step-by-step explanation:

I HOPE THIS HELPS YOU OUT WITH YOUR QUESTION! PLZ LET ME KNOW IF IT DID! IT MAKES ME FEEL GOOD THAT SOMEONE APPRECIATES IT! ANYWAY, IF YOU HAVE A FEW MINUTES PLZ GOT TO MY PROFILE AND THANK MY ANSWERS (THE MORE THE MERRIER)

a. To estimate the maximum error in the calculated area of the disk using differentials, we can start by expressing the formula for the area of a disk:

A = πr²

where A is the area and r is the radius.

Taking differentials of both sides of the equation, we have:

dA = d(πr²)

The maximum error in the calculated area, denoted as ΔA (delta A), can be approximated using the differential:

ΔA ≈ dA

To find dA, we differentiate the formula for the area with respect to the radius:

dA = d(πr²) = 2πr dr

Now, substitute the given values:

r = 15 cm (radius)

dr = 0.2 cm (maximum error in measurement)

ΔA ≈ 2π(15 cm)(0.2 cm)

Calculate the value:

ΔA ≈ 18.85 cm² (rounded to two decimal places)

Therefore, the maximum error in the calculated area of the disk is approximately 18.85 cm².

b. The relative error is the ratio of the maximum error to the actual value. In this case, the actual area of the disk can be calculated using the given radius:

A = πr²

Substituting r = 15 cm:

A = π(15 cm)² ≈ 706.86 cm² (rounded to two decimal places)

The relative error, denoted as ε (epsilon), is given by:

ε = ΔA / A

Substituting the calculated values:

ε = 18.85 cm² / 706.86 cm²

Calculate the value:

ε ≈ 0.0267 (rounded to four decimal places)

Therefore, the relative error is approximately 0.0267, or 2.67%.

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Answer:

i think its b and c

Step-by-step explanation:

Given:

Tide laundry detergent cost $ 5.88 for 46 fl oz and $12.10 for 90 fl oz.

Required:

Calculate and identify which is a better buy.

Explanation:

The cost of 46 fl oz detergent = $5.88

The cost of 1 fl oz detergent

Thus the cost of 1 fl oz detergent is $0.1278.

Now the cost of 90 fl oz detergent = $12.10

The cost of 1 fl oz detergent

Thus the cost of 1 fl oz detergent is $0.1344.

Thus $ 5.88 for 46 fl oz is a better buy because the rate for 1 fl oz is cheaper for this.

Final Answer:

Tide laundry detergent cost $ 5.88 for 46 fl oz is a better buy.

Answer:

Step-by-step explanation:

Answer:

20/6

Step-by-step explanation:

16/6 is 2 4/6

6/6 is 1

3 is well 3

and 20/6 is 3 1/2

Answer:

RT = 12 units

Step-by-step explanation:

From the figure attached,

ΔSRQ is right triangle.

m∠R = 90°

An altitude has been constructed from point T to side SQ.

m∠RTQ = 90°

By applying geometric mean theorem in triangle SRQ,

\(\frac{\text{RT}}{\text{ST}}=\frac{\text{TQ}}{\text{RT}}\)

\(\frac{x}{9}=\frac{16}{x}\)

x² = 16 × 9

x² = 144

x = √144

x = 12

Therefore, length of altitude RT is 12 units.

Answer:

12 units

Step-by-step explanation:

SOLUTION

To find the perimetr of the triangle IJK, we need to obtain the value of x.

The triangles above are similar triangles, using the ratioof similar triangle, we have

Substituting the values, we have

Then take cross product of the equation above, we have

Then, the perimeter of the triangle is sum of all the sides

Therefore

The perimeter of triangle IJK is 180.4 unit

The scatterplot is appropriate for this data set because we’re supposed to be interviewing 10 people and gathering the data on a graph, and putting the data up and down is the most logical.

The scatterplot is ideal for this data set since it makes the most sense to arrange the data vertically on a graph since we are meant to interview 10 people.

a) Since a scatterplot enables us to visually depict the relationship between two variables, it is appropriate for our data set. Given that you said that the data were obtained through interviews with 10 people, a scatterplot offers a logical and transparent method for arranging the data points on a graph.

The points are arranged vertically to indicate one variable and horizontally to represent the other. This makes it simple to see the data points and analyse them for any potential patterns or trends.

b) The following features are important for a scatterplot and contribute to easy data analysis:

With the addition of these components, the scatterplot is made into a complete and efficient tool for visualising and analysing the data, enabling easy interpretation and the extraction of significant insights from the plotted dots.

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A student club is designing a trebuchet to launch a pumpkin into projectile motion. The trajectory of the launched pumpkin is predicted to be parabolic, and can be described by the equation y(x). This means that as the pumpkin moves through the air, its path will follow a parabolic shape, which is common in projectile motion scenarios.

Based on the student club's design, they predict that the trajectory of the launched pumpkin will follow a parabolic path. This means that the height of the pumpkin (y) will depend on its horizontal distance from the launch point (x). The equation that describes this relationship is known as the "trajectory equation" or "equation of motion."

The general form of the trajectory equation for projectile motion is:

y(x) = ax^2 + bx + c

where a, b, and c are constants that depend on the initial velocity, angle of launch, and other factors.

To determine the specific values of a, b, and c for the student club's trebuchet, they will need to conduct experiments or simulations to measure the pumpkin's height at different horizontal distances. They can then use this data to fit the trajectory equation to the observed data points.

Once they have the trajectory equation, they can use it to make predictions about the pumpkin's flight path and adjust their design accordingly. For example, if the pumpkin is not landing where they want it to, they can tweak the launch angle, velocity, or other factors to get a better result.

Based on your question, a student club is designing a trebuchet to launch a pumpkin into projectile motion. The trajectory of the launched pumpkin is predicted to be parabolic, and can be described by the equation y(x). This means that as the pumpkin moves through the air, its path will follow a parabolic shape, which is common in projectile motion scenarios.

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Ashley used 8/25 of the spool for her project.

To determine the fraction of the spool that Ashley used for her project, we need to multiply the fraction of the spool she had (4/5) by the fraction she used (2/5):

(4/5) * (2/5) = 8/25

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Answer:

The angle formed is ∠LMK and the intercepted arc is LK.

Step-by-step explanation:

The given figure shows a circle of radius M. L and K are other points on the circle.

The distance from the center of the circle to a point on the circle is called radius.

LM and MK are the radius of the circle or

LM = MK

The angle formed is ∠LMK.

The intercepted arc is LK.

Answer:

x=-15

Step-by-step explanation:

4x-3x=9-24

1x=-15

x=-15

The given equation is a recursive formula where a subscript i equals the product of a subscript i-1 and 2, with the initial value of a subscript 1 being -4a.

The equation represents a recursive relationship between the terms of the sequence. Starting with the initial term, a subscript 1, the subsequent terms are determined by multiplying the previous term, a subscript i-1, by 2. This recursive formula can be written as a subscript i = a subscript i-1 * 2.

Given that a subscript 1 = -4a, we can use this initial value to find the subsequent terms of the sequence. To calculate a subscript 2, we substitute i = 2 into the formula:

a subscript 2 = a subscript 2-1 * 2 = a subscript 1 * 2 = -4a * 2 = -8a.

Similarly, for a subscript 3:

a subscript 3 = a subscript 3-1 * 2 = a subscript 2 * 2 = -8a * 2 = -16a.

By applying the recursive formula repeatedly, we can generate the terms of the sequence. Each term is obtained by multiplying the previous term by 2.

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Answer:

It's 8.46 cause the preceding digit to 4=5

Hope it helps

Have a good day

Answer:

8.456 rounded to the nearest tenth = 8.5

Step-by-step explanation:

To round 8.456 to the nearest tenth consider the hundredths’ value of 8.456, which is 5 and equal or more than 5. Therefore, the tenths value of 8.456 increases by 1 to 5.

Notice that:

Therefore, the common ratio is:

The mth term of the sequence has the general form:

Setting

we get:

Solving the above equation for m, we get:

Finally, we get that there are

terms in the finite geometric sequence.

Answer:

First blank:

Second blank:

Answer:

3/7 × 28 = 12 apples are rotten

Hope it helps

Answer:

12

Step-by-step explanation:

3/7*28/1=12

Answer:

D

Step-by-step explanation:

I took the quiz :)