Jesse and Amir were assigned the same book to read for class. Jesse started
reading on Saturday, and he is reading 30 pages a day. Amir didn't start until
Sunday, but he is reading 35 pages a day.
How many days will it take Amir to catch up to Jesse, and how many pages will
they each have read?
Let x represent the number of days Amir has been reading
Fill in the blanks to solve this problem as a system of equations.
304 S QUESTIONS
The system of equations that models this situation is
Select
Select
Using substitution to solve this system, the equation you will solve is
Select
The solution to the system of equations is
Select..
V
it will take emir
Select
days to caton up to Jesse
At thatt me each boy winave read
Select
pages

To find out how many square tiles Mr. Grant needs, you need to know the total area he wants to cover. The area of each tile is 9 square feet. Divide the total area by 9 to find the number of tiles he needs.

In order to figure out how many square tiles Mr. Grant needs to buy, more information is needed, such as the size of the area he needs to cover. The area of a single tile can be calculated using the formula Area = length × width. Since the tiles are squares, the length and width are the same, so if each side is 3 feet, then the area of a single tile is 9 square feet. If, for example, Mr. Grant needed to cover an area of 27 square feet, he would divide the total area by the area of a single tile: 27 ÷ 9 = 3, so he would need 3 tiles.

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Answer:

5x-20

Step-by-step explanation:

multiply and distribute the 5

Mr. Peterson has traveled approximately 376.8 feet after making one full rotation in a lazy river with a diameter of 120 feet, by calculating the circumference of the circle using the formula C = πd.

The question asks how many feet Mr. Peterson has traveled after making one full rotation in a lazy river shaped like a circle with a diameter of 120 ft. To find the distance traveled, we need to calculate the circumference of the circle, which is the total distance around the circle.

The formula for the circumference of a circle is C = πd, where C is the circumference and d is the diameter of the circle. Using π approximately equal to 3.14 and the given diameter of 120 feet, we calculate the circumference as follows:

C = πd = 3.14 × 120 ft = 376.8 ft

Therefore, Mr. Peterson has traveled approximately 376.8 feet after making one full rotation around the lazy river.

Answer:

(2/3) + or - .943i

Step-by-step explanation:

Use quadratic formula.

[tex]x = \frac{-b \frac{+}{}\sqrt{b^2 - 4ac} }{2a}[/tex]

A = 3

B = -4

C = 4

[tex]\sqrt{16 - 2(3)(4)} = \sqrt{-8}[/tex] or 2.828i

4/6= 2/3

Answer: 2, -2/3 ********************************************************************************************************

Answer:Jennifer earn 50$ more than micchel

Step-by-step explanation:

Answer:

can u please add more detail

Step-by-step explanation:

Answer:

w=5

Step-by-step explanation:

the triangle has the same size of area as the side of the rectangle so therefore 5

Answer:

The area of a triangle is [tex]A\Delta=\frac{1}{2}(base)(height)[/tex]

So, the area of the given triangle is:

[tex]A\Delta=\frac{1}{2}(5)(6)\\A\Delta=\frac{1}{2}(30)\\A\Delta=15cm^2[/tex]

The area of a rectangle is

[tex]A=(length)(width)\\A=(6)w\\A=6wcm^2[/tex]

Once the area of both are the same:

[tex]6w=15\\w=\frac{15}{6} \\w=2.5cm[/tex]

Answer:

4.55

Step-by-step explanation:

You add up all the numbers which is 18.2 and then you divide by the # of data.

Answer:

It's 4.55 because you add all the numbers together and then divide it by the numbers there are.

Option D, f(x) = 3(2)^x, represents an exponential function.

The equation that represents an exponential function is f(x) = 3(2)x. The exponential function has the form y = ab^x, where a and b are constants, and b is greater than 0 and not equal to 1. In this equation, b is equal to 2, which satisfies the condition. Therefore, option D, f(x) = 3(2)x, represents an exponential function.

Answer:B

Step-by-step explanation:

Edge

Answer:

72

Step-by-step explanation:

Answer:

A) 65.87

B) 326.59

C) 13.56

D) 7.96

Step-by-step explanation:

Answer:

Option C is correct.

The expression is undefined when theta is equal to 0° or 90°.

Step-by-step explanation:

If you ignore the friction, the amount of time required for a box to slide down an inclined plane is √(2a/g•sin(theta)•cos(theta)), where a is the horizontal distance defined by the inclined plane, g is the acceleration due to gravity and theta is the angle of the inclined plane. For what values of theta is the expression undefined?

A. 0°

B. 90°

C. Both A and B

D. None

An expression is said to be undefined when its value doesnt take on a real number value, e.g., its value goes to infinity.

And the value of a fractional expression goes to infinity when the denominator is equal to 0.

In the given expression for time,

√(2a/g•sin(theta)•cos(theta)),

The denominator of the expression is

g•sin(theta)•cos(theta)

Since g (acceleration due to gravity) cannot be zero, this expression will go to zero if either

Sin (theta) = 0

or

Cos (theta) = 0

Sin (theta) = 0 when (theta) = 0°

Cos (theta) = 0 when (theta) = 90°

Hence, it is easy to see that the expression given for the amount of time required for a box to slide down an inclined plane becomes undefined when (theta) = 0° or 90°.

Hope this Helps!!!

Answer:

3i + 2j

Step-by-step explanation:

Acceleration = change in velocity/time

Change in velocity

(14i + j) - (2i - 7j)

= 12i + 8j

Divide by time (t = 4)

3i + 2j

The acceleration of the drone in terms of i and j is 3i+2j.

Acceleration is the amount by which the velocity of something changes over a set period of time.

The formula to find the acceleration is a=(v-v₀)/t, where a=average acceleration, v=final velocity, v₀=initial velocity and t=time.

Given that, a drone is flown, with constant acceleration, in a horizontal plane. When initially observed, at a point P, it has a velocity of (2i-7j) ms⁻¹.

Four seconds later the drone is at a point Q and has a velocity of (14i+j) ms⁻¹.

Acceleration = change in velocity/time

Change in velocity

(14i + j) - (2i - 7j)

= 12i + 8j

Divide by time (t = 4)

= 4(3i+2j)/4

= 3i+2j

Therefore, the acceleration of the drone in terms of i and j is 3i+2j.

Learn more about the average acceleration here:

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Answer:

8 chicken, 4 beef

Step-by-step explanation:

No. of chicken: x

No. of beef: y

x + y = 12

x = 12 - y

10x + 14y = 136

10(12 - y) + 14y = 136

120 - 10y + 14y = 136

4y = 16

y = 4

x = 12 - 4

x = 8

Answer:

A and C

Step-by-step explanation:

I did the test and got a 100%

10

Step-by-step explanation:

3y-8=22

3y=22+8

3y=30

y=30/3

y =10

Answer:

15adults

Step-by-step explanation:

Ratio of Children : Adult = 8 : 3

Number of children = 8x

Number of Adult = 3x

8x + 3x =55

11x = 55

x = 55/11

x = 5

Number of Adults = 3x = 3*5 = 15

Answer:

40 adults

Step-by-step explanation:

Let x:y represent the ratio of children to adults. As of now, x:y is 3:8.

To solve this problem, all we need to do is find a solution where x + y = 55. Let's begin by using the guess-and-check method.  

First, I will multiply the ratio by 2.

When x = 6, y = 16

6 + 16 = 22

Not applicable; I need higher numbers

Next, I'll multiply the ratio by 4.

When x = 12, y = 32.

12 + 32 = 44

Not applicable, I need slightly higher numbers

I'll multiply the ratio by 5.

When x = 15, y = 40

15 + 40 = 55

Since 55 is the total number of people, 15 children and 40 adults is the correct answer. Therefore, the total number of adults is 40.

Answer:75

Step-by-step explanation:

Answer:

75 is the answer I think...

Step-by-step explanation:

Look at the attached picture ⤴

Hope it will help u...

wait I try it !! ,!!!!!!

Answer:

the best model function of the set is 3,11

Answer:

[tex]\frac{25}{7}[/tex]

Step-by-step explanation:

Given:

1 gallon = 4.5 liters

Question asked:

What fraction of 150 gallons is 189 liters ?

Solution:

First of all we will convert gallons to liters:-

1 gallon = 4.5 liters

150 gallons = 4.5 [tex]\times[/tex] 150 = 675 liters

Now, to know the fraction :-

675 gallons [tex]\div[/tex] 189 liters

[tex]=\frac{675}{189} \\ \\ Dividng\ both\ numerator\ and\ denominator\ by\ 9\\ \\ =\frac{75}{21} \\ \\ Dividng\ both\ numerator\ and\ denominator\ by\ 3\\ \\ =\frac{25}{7}[/tex]

Therefore, 150 gallons (675 liters)  is [tex]\frac{25}{7}[/tex] of 189 liters.

Look at the attached picture⤴

Hope it will help u..

Answer:

= 480 u2

Step-by-step explanation:

=

1

2 bh + bh +

1

2 (b1 + b2)h + bh

=

1

2 (16)(6) + (16)(6) +

1

2 (16 + 32)(6) + (32)(6)

= 48 + 96 + 144 + 192

Answer:

Once the height of the figures are the same and the total height is 24, each one height is 6.

Note: I wil consider square metre as the unit of area.

First, I will calculate the half-length of the triangle base using the pythagorean theorem:

[tex]10^{2}=6^2+x^2\\ 100=36+x^2\\64=x^2\\x=8m[/tex]

∴The base is equal to 16m

Let's calculate the area of the triangle:

[tex]A=\frac{1}{2} bh\\\\A=\frac{1}{2} (16)(6)\\\\A=\frac{1}{2} (16)(6)= 48m^2[/tex]

Now, let's calculate the first rectangle Area:

[tex]A=wh\\A=(16)(6)\\A=96m^2[/tex]

Now, the trapezoid area:

The width length of the longer side is equal to 16 plus the length of 2 little triangles. Those triangles base length equal to half-length of the first triangle. Therefore, the longer side/base is equal to 32.

[tex]A=\frac{1}{2} (longerSide+shorterSide)height\\A=\frac{1}{2} (32+16)6\\A=144m^2[/tex]

Now, the last rectangle:

[tex]A=wh\\A=(32)(6)\\A=192m^2[/tex]

Therefore, the figure Total Area is the sum of the triangle, trapezoid and rectangles:

[tex]48+96+144+192=480m^2[/tex]

A = 480 unit of area

Answer:

32.60/100*15 = $4.89 = 15%

Step-by-step explanation:

Answer:

$4.89

Step-by-step explanation:

To find the tip, multiply the tip rate by the price of the bill

tip rate * bill

15% * 32.60

Convert 15% to a decimal by dividing by 100, or moving the decimal 2 spaces to the left

15%/100=0.15

15.0 -->0.15

Substitute the decimal in for the percent and multiply

0.15* 32.60=4.89

So, a 15% tip on $32.60 is $4.89

Answer:

y=3

x=1.5

Step-by-step explanation:

if :

y=3

x=1.5

then:

y-x=1.5

Answer:

[tex]6\sqrt{19} \approx 26.153[/tex] inches.

Step-by-step explanation:

The longest line segment in a right rectangular prism is the diagonal that connects two opposite vertices. On the first diagram attached, the green line segment connecting A and G is one such diagonals. The goal is to find the length of segment [tex]\mathsf{AG}[/tex].

In this diagram (not to scale,) [tex]\mathsf{AB} = 26[/tex] (length of prism,) [tex]\mathsf{AC} = 2[/tex] (width of prism,) [tex]\mathsf{AE} = 2[/tex] (height of prism.)

Pythagorean Theorem can help find the length of [tex]\mathsf{AG}[/tex], one of the longest line segments in this prism. However, note that this theorem is intended for right triangles in 2D, not the diagonal in a 3D prism. The workaround is to simply apply this theorem on two different right triangles.

Start by finding the length of line segment [tex]\mathsf{AD}[/tex]. That's the black dotted line in the diagram. In right triangle [tex]\triangle\mathsf{ABD}[/tex] (second diagram,)

Apply the Pythagorean Theorem to right triangle [tex]\triangle\mathsf{ABD}[/tex] to find the length of [tex]\mathsf{AB}[/tex], the hypotenuse of this triangle:

[tex]\mathsf{AD} = \sqrt{\mathsf{AB}^2 + \mathsf{BD}^2} = \sqrt{26^2 + 2^2}[/tex].

Consider right triangle [tex]\triangle \mathsf{ADG}[/tex] (third diagram.) In this triangle,

[tex]\mathsf{AD} = \sqrt{26^2 + 2^2}[/tex]. The length of segment [tex]\mathsf{DG}[/tex] is the same as the height of the rectangular prism, [tex]2[/tex] (inches.) Apply the Pythagorean Theorem to right triangle [tex]\triangle \mathsf{ADG}[/tex] to find the length of the hypotenuse [tex]\mathsf{AG}[/tex]:

[tex]\begin{aligned}\mathsf{AG} &= \sqrt{\mathsf{AD}^2 + \mathsf{GD}^2} \\ &= \sqrt{\left(\sqrt{26^2 + 2^2}\right)^2 + 2^2}\\ &= \sqrt{\left(26^2 + 2^2\right) + 2^2} \\&= 6\sqrt{19} \\&\approx 26.153\end{aligned}[/tex].

Hence, the length of the longest line segment in this prism is [tex]6\sqrt{19} \approx 26.153[/tex] inches.

The longest line segment in a right rectangular prism with dimensions 26 inches by 2 inches by 2 inches is found using the Pythagorean theorem: d = sqrt(l^2 + w^2 + h^2), which gives approximately 26.2 inches.

To find the measurement of the longest line segment in a right rectangular prism, we need to calculate the space diagonal, which is the diagonal that cuts through the body of the prism. In this case, the dimensions of the right rectangular prism are 26 inches long, 2 inches wide, and 2 inches tall. We use the Pythagorean theorem in three dimensions to calculate this, which is the square root of the sum of the squares of the length, width, and height. The formula can be written as:

Where d is the diagonal, l is the length, w is the width, and h is the height. Plugging in the given dimensions:

Calculating the square of each term and adding them gives:

So:

Finally, taking the square root gives us the length of the longest line segment:

Therefore, the longest line segment of the rectangular prism measures approximately 26.2 inches.