Tarun James Marcus and Yahya like to collect keychains and they have an average of 68 keychains. Tarun has 78 keychains. James has half as many keychains as Marcus. Yahya has 28 fewer keychains than the total number of keychains that James and Marcus have. How many keychains does each boy have

Answer: OPTION D

Step-by-step explanation:

To solve this problem you must apply the formula for calculate  the surface area of the rectangular prism:

[tex]SA=2(wh+lw+lh)[/tex]

Where w is the width, h is the heigh and l is the lenght.

Based on the rectangular prism shown, you have that:

[tex]w=9.08cm\\h=3.23cm\\l=11.73cm[/tex]

Finally when you substitute values into the formula you obtain the following result:

[tex]SA=2[(9.08cm*3.23cm)+(11.73cm*9.08cm)+(11.73cm*3.23cm)]=347.45cm^2[/tex]

Answer:

D

Step-by-step explanation:

The surface area is the area of all the surfaces, together.

A rectangular prism has 6 rectangular surfaces. We need to add those 6 faces and sum it.

Area = 2 ( 3.23 * 9.08 ) = 58.6568

Area = 2 ( 3.23 * 11.73 ) = 75.7758

Area = 2 ( 11.73 * 9.08 ) = 213.0168

Summing all of them up,

Surface area of Rectangular Prism = 58.6568 + 75.7758 + 213.0168

=347.4494

* Rounding to nearest hundredth, 347.45 cm ^2

Now, as the pizza is circular, so it does not matter about the box shape. If the box shape increases or decreases, the pizza shape is the same.

Now, we have been asked about the largest pizza radii that can fit in the box, so we will consider the shortest value of the box.

The width is given as 14 inches. There is a 2 inch border around the pizza. So, the width is 14-4 = 10 inches. (Now assume this as the diameter of pizza)

And the radius is = [tex]\frac{10}{2}=5[/tex] inches.

So, the largest pizza that can fit in the box will have a radius of 5 inches.

Answer:

Step-by-step explanation:

s = sequence

[tex]s_{1}[/tex] = first term of sequence

[tex]s_{1}[/tex] = 7

[tex]s_{4}[/tex] = 16

Find the difference between the term number and the values.

Terms:

4 - 1 = 3

Values:

16 - 7 = 9

For every 3 terms, you add 9.

Divide, to find the amount you add for 1 terms.

3 / 3 = 1

9 / 3 = 3

For every 1 terms, you add 3.

[tex]s_{1}[/tex]= 7

[tex]s_{2}[/tex]= 10

[tex]s_{3}[/tex]= 13

[tex]s_{4}[/tex]= 16

[tex]s_{5}[/tex]= 19

[tex]s_{6}[/tex]= 22

Answer:

5.66038

Step-by-step explanation:

Given  

Mean= μ=100

SD= σ=5.3

Z-score of 130= ?

The z-score of any value tells us that how many standard deviations that value is from the average or mean.

The Z-score of any data value is found by subtracting the mean from it and then dividing by the standard deviation.

z-score=  (x- μ)/σ

z-score of 130=  (130-100)/5.3

=30/5.3

=5.66038

Answer:

1/2

Step-by-step explanation:

if the one line's slope is m = –2, then the perpendicular line's slope will be m= 1/2 (the slope of a perpendicular line is the reciprocal of the slope of the first line)

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

I will call [tex]m_{a}[/tex] the slope of line [tex]a[/tex], and [tex]m_{b}[/tex] the slope of line [tex]b[/tex].

For two lines to be perpendicular, the following must be satisfied:

[tex]m_{a}*m_{b}=-1[/tex]

in this case we know:

[tex]m_{a}=-2[/tex]

so:

[tex](-2)*m_{b}=-1[/tex]

And clearing for the slope of line [tex]b[/tex]:

[tex]m_{b}=\frac{-1}{-2} \\m_{b}=\frac{1}{2}[/tex]

The slope of the line [tex]b[/tex] which is perpendicular to line [tex]a[/tex] is [tex]\frac{1}{2}[/tex]

Answer:

The information given represents lengths of sides of a right triangle with c the hypotenuse. Find the correct missing length to the nearest hundredth. A calculator may be helpful.

a = 18, b = 26, c = ?

A. C=31.78

B. C=31.16

C. C=31.62

D. C=31.46

Step-by-step explanation:

[tex]\sqrt{18^{2}+26^{2}  }[/tex]

Answer:

7238 cm³

Step-by-step explanation:

The radius of the great circle is the radius of the sphere.

The formula for the volume of a sphere is

V = ⁴/₃πr³

V = ⁴/₃π (12)³ = ⁴/₃π × 1728 = 2304π cm³ ≈ 7238 cm³

Volume is a three-dimensional scalar quantity. The volume of a sphere with a great circle of radius 12 cm is 7238.2295 cm³.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface. It is a three-dimensional scalar quantity.

The volume of the sphere with a radius of 12 cm is,

The volume of the sphere = 4/3 πr³

                                            = (4/3) × π × (12)³

                                            = 7238.2295 cm³

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Answer:

2x+3y

Step-by-step explanation:

first you group up the sides and subtract from the perimeter to get the last side. then combine all the sides to see if your answer is correct.

Answer:

V=8xxxyyy=8x³y³

Step-by-step explanation:

In the question, V=lwh, the value for l is given to us as 2xy. Because it is a cube, all of the length of the edges are the same, so l=w=h, which means w=2xy and h=2xy.

Plug in w=2xy h=2xy l=2xy into the equation V=lwh.

V=2xy·2xy·2xy

V=(2·2·2)(x·x·x)(y·y·y)

V=8xxxyyy=8x³y³

Answer: bisect

Step-by-step explanation:

A segment that is bisected is divided into 2 congruent (equal) lengths from the midpoint.

An angle that is bisected is divided into 2 congruent (equal) angles.

Answer:

Opt. D. AB=WX

Step-by-step explanation:

If we take the rectangle from its original position and then rotate it 90° we will see that the horizontal sides will form now vertical sides. That is Why AB side is now WX.

Answer:

(-6, 3)

Step-by-step explanation:

What you do is based off the image point (-9, 5). What you do is you go 3 units right which is like -9+3=-6. Then you will go 2 units down which is like 5-2=3.

(-6, 3) is your answer.

The image point of (-9,5) after a translation right 3 units and down 2 units is (-6,3).

We add 3 to the x-coordinate for the right translation and subtract 2 from the y-coordinate for the downward translation.

The image point of (-9,5) after a translation right 3 units and down 2 units can be found by changing the x-coordinate and the y-coordinate according to the translation vectors. Since we are moving right, we add 3 to the x-coordinate, and since we are moving down, we subtract 2 from the y-coordinate. The step-by-step process is:

Translate right 3 units: Add 3 to the x-coordinate (-9). So, -9 + 3 = -6.

Translate down 2 units: Subtract 2 from the y-coordinate (5). So, 5 - 2 = 3.

Therefore, the image point after the translation is (-6,3).

Answer:

About $31,200

Step-by-step explanation:

Answer: 2/6.

Step-by-step explanation:

This might be wrong but because there are only 6 sides on a number cube, and only two numbers between this probablity this is the most likely correct answer. I apologize if this is wrong.

Answer:

Part a) The exterior surface area is equal to [tex]160\ ft^{2}[/tex]

Part b) The volume is equal to [tex]240\ ft^{3}[/tex]

Part c) The volume water left in the trough will be [tex]84\ ft^{3}[/tex]

Step-by-step explanation:

Part a) we know that

The exterior surface area is equal to the area of both trapezoids plus the area of both rectangles

so

Find the area of two rectangles

[tex]A=2[12*5]=120\ ft^{2}[/tex]

Find the area of two trapezoids

[tex]A=2[\frac{1}{2}(8+2)h][/tex]

Applying Pythagoras theorem calculate the height h

[tex]h^{2}=5^{2}-3^{2}\\h^{2}=16\\h=4\ ft[/tex]

substitute the value of h to find the area

[tex]A=2[\frac{1}{2}(8+2)(4)]=40\ ft^{2}[/tex]

The exterior surface area is equal to

[tex]120\ ft^{2}+40\ ft^{2}=160\ ft^{2}[/tex]

Part b) Find the volume

we know that

The volume is equal to

[tex]V=BL[/tex]

where

B is the area of the trapezoidal face

L is the length of the trough

we have

[tex]B=20\ ft^{2}\\ L=12\ ft[/tex]

substitute

[tex]V=20(12)=240\ ft^{3}[/tex]

Part c)

step 1

Calculate the area of the trapezoid for h=2 ft (the half)

the length of the midsegment of the trapezoid is (8+2)/2=5 ft

[tex]A=\frac{1}{2}(5+2)(2)=7\ ft^{2}[/tex]

step 2

Find the volume

The volume is equal to

[tex]V=BL[/tex]

where

B is the area of the trapezoidal face

L is the length of the trough

we have

[tex]B=7\ ft^{2}\\ L=12\ ft[/tex]

substitute

[tex]V=7(12)=84\ ft^{3}[/tex]

8.25 divided by 100=0.0825

Answer:

B:960cm^3

Step-by-step explanation:

12*8=96

96/2*20=960∴

ans:960cm^3

Answer:

2m/s

2 meters per second

Step-by-step explanation:

Formula for speed is distance (meters) over time (seconds) after you divide you get 2. Please give me the brainliest answer?

:) Hoped this helped!!! Have a good day!!! <3

Answer:

2 Meters per second

Step-by-step explanation:

Answer:  a = 11.1

Step-by-step explanation:

a(0.3 - y) + 1.1 + 2.4x = 0

Let y = 1.3 → a(0.3 - 1.3) + 1.1 + 2.4x = 0 → -a + 1.1 + 2.4x = 0 → a = 1.1 + 2.4x

(y - 1.2) = -1.2(x - 0.5)

Let y = 1.3 → (1.3 - 1.2) = -1.2(x - 0.5) → 0.1 = -1.2x + 0.6 → -0.5 = -1.2x → [tex]\dfrac{50}{12}=x\ \rightarrow\ \dfrac{25}{6}=x[/tex]

a = 1.1 + 2.4x

   [tex]=1.1+2.4\bigg(\dfrac{25}{6}\bigg)[/tex]

   = 1.1 + 0.4(25)

   = 1.1 + 10

   = 11.1

Answer: I agree with 11.1

Step-by-step explanation:

7x - 3/8 = 6x -5/8

Subtract 6x from each side:

x - 3/8 = -5/8

Add 3/8 to each side:

x = -5/8 + 3/8

x = -2/8

x = -1/4

Answer: 10%

Step-by-step explanation: The formula to calculate simple interest is Interest = Principal x Rate x Time

With the number in the formula, 112.50 = 1,250 x r x 1

Simplify:

112.50 = 1,250r

Divide both sides by 1,250:

.1 = r

Therefore, the rate is 10%

➷ 12x - 8 = 24

Add 8 to both sides:

12x = 32

Divide both sides by 12 to isolate x:

x = 8/3

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Answer: x= 8/3

Step-by-step explanation:

first thing u do is add 8 to the 24 because the operation in front is - , that equals 32

since 12 is multiplied by x you divide 12 by 32 to get x by itself and that equals 8/3

Hope this helps mark me brainliest

Answer:

D

Step-by-step explanation:

An exponential function which crosses through (1,3) and (2,9) will have a base of 3 since the y values are multiples of 3.

3^1 = 3

3^2 = 9

This means that the function is y = 3^x.

Divide the volume by the height to find the area of the base:

3042 / 18 = 169 square cm

Since the base is square both the length and the width are the same,

so find the length take the square root of the base:

Side length = √169 = 13 cm

Answer:

Completing the square.

Step-by-step explanation:

since there is no "a" term and the bx term is even, completing the square is your best bet.

For this case we have as a simpler method the factorization. We must find two numbers that multiplied as a result +3 and added as a result +4.

These numbers are:

3 and 1.[tex]3 + 1 = 4\\\\3 * 1 = 3[/tex]

So, we have to:

[tex]x ^2 + 4x + 3 =\\(x + 3) (x+1)[/tex]

Answer:

[tex](x + 3) (x + 1)[/tex]

Answer:67

Step-by-step explanation:

Answer: 204.333333333

Step-by-step explanation:

Answer:

204.3

Step-by-step explanation:

6 cannot be divided by 1, so you move to the next number and divide it by 12

6 fits into 12 TWO times, so subtract 12 by 12.

Bring down the 2 from the original problem

6 cannot fit into 2, so the number is 0

Bring down the 6 from the original problem

6 fits into 26 FOUR times, there for the next answer number is four

If you need a remainder, there is a REMAINDER of 2

If you need a decimal, 0 will continue to be brought down, but nothing will fit into 20.

The decimal is .333 repeating

The attachment should make it more clear.

Answer:

y+2 = 2/3(x+1)

y= 2/3x - 4/3

Step-by-step explanation:

If we want a line parallel to  y=2/3x+7, it will have the same slope

m = 2/3

We have a point (-1,-2), so we can use point slope form

y-y1 = m(x-x1)

y--2 = 2/3(x--1)

y+2 = 2/3(x+1)

If we want the line in slope intercept form, distribute the slope

y+2 = 2/3 x +2/3

Subtract 2 from each side

y+2-2=2/3x +2/3-2

y = 2/3x +2/3 - 6/3

y= 2/3x - 4/3

Final answer:

The squirrel reaches a height of 4 feet twice during its trajectory: once on the way up and once on the way down due to symmetrical motion.

Explanation:

The squirrel will reach a height of 4 feet twice during its trajectory. To understand why, let's analyze the motion. The squirrel's vertical motion can be described by the equation [tex]\( h(t) = h_0 + v_0t - \frac{1}{2}gt^2 \),[/tex] where [tex]\( h(t) \)[/tex] is the height at time[tex]\( t \), \( h_0 \) is the initial height, \( v_0 \) is the initial velocity, and \( g \) is the acceleration due[/tex]  to gravity.

Given that[tex]\( h_0 = 0 \), \( v_0 = 16 \) ft/s, and \( g = 32 \) ft/s^2,[/tex] we can plug in these values to find the times at which the squirrel reaches a height of 4 feet. Solving the equation[tex]\( h(t) = 4 \) for \( t \),[/tex] we get two solutions:[tex]\( t = 1 \) second and \( t = 3 \)[/tex] seconds. This means the squirrel reaches a height of 4 feet once on its way up and once on its way down. So, the squirrel reaches a height of 4 feet twice.

Total cost

13 1/4 × $1.20

=53/4 × $1.20

=$15.90

Alfred + 4 friends = 5 person

So, each person must pay

$15.90÷5

=$3.18

Answer

$3.18

Using arithmetic simplification, the amount paid by each person since the cost is shared evenly is $3.18

The total cost of gummy bear :

Number of people involved = Alfred + 4 friends = 5

Since the cost is shared evenly ; the amount paid per person can be calculated thus :

Cost per person = $15.90 ÷ 5 = $3.18

Therefore, each person will pay a sum of $3.18

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