Josie is filling up a pencil case before school. There are 2 pens and 2 pencils to choose from. How many different ways can Josie fill the pencil case with one of each item?

Answer:

mark on day three can use up to 4 cans of blue paint and 5 cans of yellow paint

Step-by-step explanation:

given--started with 14 cans of blue paint

given--started with 20 cans of yellow paint

given--used 10 cans of blue paint and 15 cans of yellow paint in total

by subtracting the blue paint he used with the amount he started with you get an answer of 4 blue paint cans--- vice verse--20 yellow paint cans minus 15 yellow paint cans equal 5 yellow paint cans.

We can see that the correct equation that can depict the problem is 3(d+17.20) = 782.07. Option D

We have to look at the problem that we have here. In the case of the question that we have been asked, we can see that for the problem that has been given here, it is clear that; Allison went on a business trip and stayed at a hotel for three nights. She paid a total of $782.07 for the room and to park her car.

If it is known that Each night, the hotel charged d dollars and $17.20 for parking. We can say that let the amount that is charged for the lodging be d and we have the equation as; 3(d+17.20) = 782.07.

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Answer:

(x) ∠CAB

Step-by-step explanation:

In ΔCOD and ΔBOA

\(\frac{OA}{OB} = \frac{OD}{OC} \\\\\implies \frac{OC}{OB} = \frac{OD}{OA}\)

Also,

∠COD = ∠BOA (vertically opposite angles)

⇒ ΔCOD and ΔBOA are similar

⇒ ∠CDO = ∠BAO

⇒ ∠CDB = ∠BAC

⇒ ∠CDB = ∠CAB

Answer:

Wonderfully put, bravo

Step-by-step explanation:

Answer:

(jotaro) "yare yare daze"

Step-by-step explanation:

(star platinum)

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OOOOOOOOORA!

The measure of angle BAE is equal to the sum of the measures of angles ABC and ACD, or 120°.

Since ABCD and AED are both plane figures and share AD, the measure of angle BAE must be equal to the measure of angle BCD. Angle BCD is the exterior angle of triangle ABC, so the measure of angle BCD is equal to the sum of the measures of angles ABC and ACD. Therefore, the measure of angle BAE can be calculated using the formula:

m∠BAE=m∠ABC+m∠ACD

Since triangle AED is equilateral, all three angles are equal to 60°. Therefore, the measure of angles ABC and ACD are both equal to 60°. Therefore, the measure of angle BAE is equal to the sum of the measures of angles ABC and ACD, or 120°.

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Answer:

(x,y) → (x+ 6,y - 3)

Step-by-step explanation:

I think you posted this question earlier as well? Basically, x moves left and right, while y moves down and up. Therefore, if you wanted to move 3 units down, you would use y-3.

Answer:

-19

Step-by-step explanation:

12x - 6 + 6 = 10x - 40 + 2

12x - 10x = -40 + 2 + 6 -6

2x = -38

x = -38/2 = -19

The two truths are:

x is a negative number (x = -19)

x+5>x (if x is positive, is true; if x is negative, is also true)

The one lie is:

3x > 2x (if x is negative, the expression will be 3x < 2x)

Answer:

  $28

Step-by-step explanation:

Each round trip will be double the price of a one-way trip, so will be ...

  2 × $3.50 = $7.00

Diego and his 3 friends will require a total of 4 round-trip tickets for a cost of ...

  4 × $7.00 = $28.00

Answer:

false

Step-by-step explanation:

Exponents is basically that number multiplied by itself however many times the number on top is , so lemme just give a quick example, \(7^4\) would be 7*7*7*7=2401

so

\(16^1\) would just be sixteen  because any number to the power of 1 is that number

\(8^2\) is 8*8 which gives us 64,

16 does not equal 64, so its

False

The unknown angles of the kites are as follows:
m∠1 = 90°

m∠2 = 65°

m∠3 = 90

m∠4 = 65°

m∠5 = 25°

A kite is a quadrilateral that has 90° angles at the point of intersection of the two diagonals. The sum of angles in a kite is 360 degrees.

Therefore, the diagonal of a kite bisect each other at right angle.

Diagonals also bisect each angles.

Using the diagonal theorem of the kite,

m∠1 = 90 degrees

m∠2 = 180 - 25 - 90 = 65 degrees(sum of angles in a triangle)

m∠3 = 90 degrees

m∠4 = 65 degrees(Base angles of an isosceles triangles are congruent)

m∠5 = 25 degrees

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First multiply the second ( ) with 3x then multiply it with -2 and add them together So

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

=3x(5x^2-3x+1)+ -2*(5x^2-3x+1)

=15x^3-9x^2+3x -10x^2+6x-2

=15x^3-19x^2+9x-2

Done!

Answer:

s= 2

Step-by-step explanation:

4s - 14 = -6  Add 14 to both sides

4s - 14 + 14 = -6 + 14  Simplify

4s = 8  Divide both sides by 4

s = 2

Check

4x - 14 = -6

4(2) - 14 = -6

8 - 14 = -6

-6 = -6

First, we should the leave the variable \(s\) on the left side of the equation.

Divide both sides by \(4.\)

Conclusion:

   Consequently, the element \(2\) in the given set is the only real solution of this equation. What we need to do in such questions is to leave the unknown alone. Since the power of the variable \(s\) of our unknown is \(1\) we can only find \(1\) root, respectively.

The equation solved for the variable are;

h = S- 2B/p

b = S - hp/2

To determine the equation, we need to know that the subject of formula for  an equation is described as the variable that is made to stand on one end of the equality sign.

It is the variable that is being worked out.

From the information given, we have that;

S= hp + 2B.

To make the height with the variable 'h' the subject, we have;

collect the terms

hp = S - 2B

Divide by the coefficient

h = S- 2B/p

For b, we have;

S - hp = 2b

divide by the coefficient

b = S - hp/2

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Floyd needs 33 matches to make a rectangle with a length of 20 matches.

To find out how many matches Floyd needs to make a rectangle with a length of 20 matches, we can observe a pattern in the given information.

From the given data, we can see that as the length of the rectangle increases by 4 matches, the number of matches used increases by 8. This means that for every additional 4 matches in length, Floyd requires 8 more matches.

Using this pattern, we can calculate the number of matches needed for a rectangle with a length of 20 matches.

First, we need to determine the number of 4-match increments in the length of 20 matches. We can do this by subtracting the starting length of 3 matches from the target length of 20 matches, which gives us 20 - 3 = 17.

Next, we divide the number of 4-match increments by 4 to determine how many times Floyd needs to add 4 matches. In this case, 17 ÷ 4 = 4 with a remainder of 1.

Since Floyd requires 8 matches for each 4-match increment, we multiply the number of increments by 8, which gives us 4 × 8 = 32 matches.

Finally, we add the remaining matches (1 match in this case) to the total, resulting in 32 + 1 = 33 matches needed to reach a length of 20 matches.

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Using the Intersecting secants theorem, the length of JK in the given diagram is 17

From the question, we are to determine the length of JK in the given diagram.

The diagram shows a circle with intersecting secants.

From the Intersecting secants theorem which states that "if two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment".

Then,

We can write that

JK × KL = NM × ML

From the given diagram,

KL = 14

NM = 14

ML = 17

Substituting the values

JK × 14 = 14 × 17

JK = (14 × 17) / 14

JK = 17

Hence, the length of JK is 17

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6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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Answer:

10.27

Step-by-step explanation:

10.2719 rounded to the nearest hundredth is 10.27, because to round up, the thousandths place has to be 5 or greater, but since the thousandths place is 1, you need to change the number to 10.27

Hope this helps!

The number 10.2719 rounded to the nearest hundredth is; 10.27

While considering place values of numbers,

Numbers on the left side of the decimal are ordered from right to left as unit, tens, hundreds, thousands and so on respectively.

While Numbers on the right side of the decimal are ordered from left to right as tenth, hundredth, thousandth and so on respectively.

Therefore, according to the question, the digit with occupies the hundredth position is 7.

As such, to round off the number 10.2719, the digit which is after the digit 7 is considered.

If the digit is less than 5, it is rounded to 0, and if greater or equal to 5, it is rounded to 1 and ultimately added to the preceding number.

In this case, the number is 1 and since 1 is less than 5, it is rounded to 0 and added to 7.

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Answer:

a deck of cards

Step-by-step explanation:

Answer:

Step-by-step explanation:

r = 8.35 ft

area of circle = πr² = 69.7225π ft²

θ = 5π/9 radians

area of unshaded segment = r²(θ-sinθ)/2 ≅ 26.51 ft²

shaded region = 69.7225π - 26.51 ≅ 192.53 ft²

The area shaded region is found to be as 192.97 ft².

A circle is a geometric shape, all of which points are equidistant from a fixed point called as the centre.

The centre of the circle does not lie on it.

The largest line segment that can be drawn inside a circle is its diameter.

For the given circle,

Radius is given as 8.35 ft.

And, the angle subtended by minor arc is 100°.

Then, the angle formed by major arc is 360 - 100 = 260°.

Noiw, the area of shaded region is given as below,

Area of the sector for major arc + Area of triangle

⇒ 260/360 × πr² + 1/2 × r²

Plug π = 3.14 and r = 8.35 to obtain,

⇒ 13/18 × 3.14 × 8.35² + 1/2 × 8.35²

⇒ 192.97 ft²

Hence, the area of the shaded region is obtained as 192.97 ft².

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When Php 20.247 is rounded to the nearest hundredths, the value that will be gotten is Php. 20.25.

It should be noted that the 2 after the decimal is the tenth place, 4 is in the hundredth place and 7 is in the thousandth place.

Therefore, when Php 20.247 is rounded to the nearest hundredths, we'll add 1 to 4 since the thousandths place is above 5. Therefore, the new number is Php. 20.25.

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The more appropriate measures of center and spread are:

The better measure of the middle would be the median because mean is affected by low and high values which are present in the given data set.

As mean is not being used, standard deviation should not be used for the same reason. This leaves us with the interquartile range which is best because it does not take outliers into account.

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Answer:

15

Step-by-step explanation:

2 x 1 and 7/8 = 3 and 6/8 miles

= 3.75 miles

Since there are park benches every 1/4 mile on the trail, we can find the number of benches by dividing the total length of the trail by the distance between the benches:

Number of benches = (3.75 miles) / (1/4 mile per bench)

Number of benches = 15

Answer: 7

Step-by-step explanation: its correct, trust me

Using the cross product for the proff of Pythagoras theorem, the correct step is

By the cross product property, AB² =  BC multiplied by BD

The cross product property is typically used to solve equations with two values, where the product of the extremes (the outer terms) is equal to the product of the means (the inner terms).

For the similar triangles, the ratio is as follows

BD / BA = BA / BC

BA² = BD * BC

and AB = BA, hence

BA² = BD * BC

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Answer: y = -2x + 1

Step-by-step explanation:

The formula for slope-intercept form is y = mx + b. Keep y and x as the variables. Replace m with the slope, which can be found by doing rise/run, and replace b with the y-intercept. The y-intercept is the spot where the line intersects the y-axis.

Hope this helps! Have a great day! :)

The functions f and g are:

a. f(x) = 1/x

b. g(x) = x + 2

a) To find two functions f and g such that (fog)(x) = 1/(x + 2), we need to determine how the composition of the two functions f and g produces the given expression.

Let's start by assuming g(x) = x + a, where a is a constant. This means that g(x) adds the constant a to the input x.

Next, let's determine the function f(x) such that (fog)(x) results in the desired expression. We have:

(fog)(x) = f(g(x)) = f(x + a)

b) To simplify the expression 1/(x + 2) and make it match f(g(x)), we can consider f(x) = 1/x.

Substituting the expressions for f(x) and g(x) into (fog)(x), we have:

(fog)(x) = f(g(x)) = f(x + a) = 1/(x + a)

Comparing this with the desired expression 1/(x + 2), we see that a = 2. Therefore, the functions f and g are:

a. f(x) = 1/x

b. g(x) = x + 2

Using these functions, we can verify the composition (fog)(x):

(fog)(x) = f(g(x)) = f(x + 2) = 1/(x + 2)

Thus, (fog)(x) = 1/(x + 2), which matches the desired expression.

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Answer:

x=76 degrees

Step-by-step explanation:

x+59=135

    -59   -59

x=76

i am 90% positive this is how you do it. Hope this helps! Happy holidays!!

Answer:

acute angle

Step-by-step explanation:

Answer:

Acute Angle!

Step-by-step explanation:

Picture in 1st answer! <3

Answer:

Step-by-step explanation:

AB/DE = BC/EF = AC/DF

Answer:

the linear function is y=-3^2+1