Mr. Tempo bought some story books at $5.00 each at a bookshop. Twelve of the books got missing, he then sold the rest at $7.00 and made a profit of $150.
Write out all necessary equations of this scenario to ascertain how many books Mr. Tempo baught

Answer:

A. y- 3 = -12(x - 5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

u=㏑ x

x=e^u

v=㏑ y

y=e^v\(x^{2} y^5 =(e^u)^{2} (e^v)^5=e^{2u}e^{5v}=e^{2u+5v}\)

Answer:

D. 2u + 5v

Step-by-step explanation:

answer on edge

Answer: yes

Step-by-step explanation:

the two sides are near the same with one smaller and i learned at sc that that makes it right

Answer:

a= ft is the unit

b=g(gram) is the unit

c= percent % is the answer

Answer:

the value of a - b is 4.

Step-by-step explanation:

We have been given the following two equations:

a + b = 10 ------------(1)

a² - b² = 40 -------(2)

We can factor the left-hand side of equation (2) using the difference of squares identity:

(a + b)(a - b) = 40

Substituting equation (1) into this equation, we get:

10(a - b) = 40

Dividing both sides by 10, we get:

a - b = 4

Therefore, the value of a - b is 4.

Step-by-step explanation:

if I understand this correctly :

a + b = 10

a² - b² = 40

(a² - b²) = (a + b)(a - b) = 40

10(a - b) = 40

(a - b) = 4

Answer:

Multiply 36 and 21 and put point(.) after two digits

Step-by-step explanation:

7.57

Answer:

B

Step-by-step explanation:

On edge

Answer:

\(\huge\boxed{\sf y = x - 4}\)

Step-by-step explanation:

Slope = m = 1

y-intercept = b = -4

Standard form of slope-intercept form:

y = mx + b

Put m and b

y = 1x + (-4)

y = x - 4

This is the required form of slope-intercept.

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

y = x - 4

Step-by-step explanation:

Slope intecept form is y = mx + b

m is the slope, and since here it is 1, you don't add anything. 1x is the same thing as x. b is the y-intercept. here, it is -4, so you subtract 4. The equation is:

y=x-4

The number of trials and the probability of obtaining success will be given as P(X ≤ 2) = 0.9728.

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials which end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

X \sim B(n,p)

The probability that out of n trials, there'd be x successes is given by

\(\rm P(X =x) = \: ^nC_xp^x(1-p)^{n-x}\)

Assume the random variable X has a binomial distribution with the given probability of obtaining success.

Then the number of trials and the probability of obtaining success will be

P(X ≤ 2), n = 4, p = 0.2

Then we get

\(\rm P(X =2) = \: ^4C_2(0.2)^2(1-0.2)^{4-2}\\\\P (X=2) = 6 \times 0.0256 \\\\P (X=2) = 0.1536\)

Then the cumulative probability will be

\(\rm P(X\leq 2) = 0.9728\)

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Answer:

To find x-intercept ,let y=0

0=x²-4x-21

(x+3)(x-7)=0

x=-3 or x=7

(-3;0) or (7;0)

To find vertex

x=

\( \frac{ - b}{2a} = x\)

x=4/2=2

y=(2)²-4(2)-21=-25

(2;-25)

choose A and E

Answer:

f(x)=x5-x4+9

if x=2,. f(2)= 2⁵-2⁴+9

=32-16+9

=16+9

f(2) =25

Answer:

it's false; dilating a triangle won't change the angles

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The true answer is 12 divided by four bu the closest I can see is the last one

Answer: 455 mph

Step-by-step explanation:

if train one is traveling one way at 60mph, then you have to multiply that by 3.5 to see how far it traveled in that amount of time.
60 x 3.5 = 210

then, you have to multiply 3.5 by 70mph, to see how far the second train has traveled in that amount of time

70 x 3.5 = 245

finally, since both trains are moving in opposite directions, you have to add up the distances together to get the final difference

210 + 245 = 455

Both the trains are in an opposite direction. after 3.5 hours they will be apart from a distance of 455.

Speed can be calculated as the ratio of distance traveled to the time taken.

Speed x time = Distance

Two trains start at the same point at the same time and simultaneously travel in an opposite direction.

we need to find that how far apart will they be 3.5 hours.

The speed of the first train is 60 mph

Speed x time = Distance

= 60 x 3.5

= 210

The speed of the second train is 70 mph.

Speed x time = Distance

= 70 x 3.5

= 245

Since both trains are moving in opposite directions, we have to add up the distances together to get the final difference.

210 + 245 = 455

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Answer:

distance= speed *time

Step-by-step explanation:

use the above formula ☝️

Answer:

x<-12 or x>16

Step-by-step explanation:

Answer:

|x - 2| + 3 > 17

|x - 2| > 14

x - 2 < -14 or x - 2 > 14

x < -12 or x > 16

There are 50 predicted rolls for 5 in 300 times of rolls.

A probability is a number that reflects the chance or likelihood that a particular event will occur.

Given that, Janet rolls a 6-sided number cube 300 times,

Probability = (Favourable Outcomes)/(Possible Outcomes)

Favourable Outcomes: 5 (1 total)

Possible Outcomes: 1,2,3,4,5,6 (6 total)

Probability of a 5 in any given roll of a die = 1/6

1/6x300 = 50 = 50 predicted roll with 5.

Hence, There are 50 predicted rolls for 5 in 300 times of rolls.

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Answer:

3 times.

Step-by-step explanation:

30, 31, 32, 33, 34, 35, 36, 37, 38, 39,40,41,42,43,44,45,46,47,48,49,50,51,

52,53,54,55,56,57,58,59,60,61,62,63,64,65.

37,47,57.

3 times

The volume of cone is 175 m³

Firstly,

Volume of Pyramid.

The volume (V) of a pyramid is  

V = ⅓Ah

Data:

V = 175m³

Calculation:

175 = ⅓× A× h

Ah = 175*3

Ah = 525m³

Secondly,

The volume (V) of a cone is

V = ⅓Ah

Data:

Ah = 525 m³

Calculation:

V = ⅓ A× h

V = 175 m³

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Answer:

Step-by-step explanation:

A range

Answer:

22 cents per mile

Step-by-step explanation:

to get this answer, divide 17.60 by 4 to get the unit rate, or the rate when x=1.

Step-by-step explanation:

15+3+3=21

21+15=36

36*16= 576

576/2= 288cm^2

Area= B

How I got his:

Area of a trapezium= \(\frac{(a+b)*h}{2}\)

Hope this helped!

Answer:

\(A=288cm^{2}\)

Step-by-step explanation:

Formula to find area of trapezoid:

\(A=\frac{a+b}{2} h\)

Add the values in the formula:

\(A=\frac{15+(15+3+3)}{2} (16)\)

\(A=\frac{36}{2} (16)\)

\(A=18(16)\)

\(A=288cm^{2}\)

Hope this helps, have a good day ahead :)

Answer:

Check pdf

Step-by-step explanation:

Step-by-step explanation:

x+2x+6x=180

9x=180

x=20°

m<A = 20°

Answer:

if the question is asking about the next numbers the it should be: 27,30,33,36

Step-by-step explanation:

the pattern is +3 so you keep on adding

Answer:

2.12132034356

Step-by-step explanation:

Round to whatever you need to and have a good day :)

The distance from point A(2,−1) to the line y = −x+4 will be 2.12 units.

Let (x₁, y₁) be the point and ax + by + c = 0 be the line. Then the distance between a point and a line will be

\(\rm d = \dfrac{|ax_1 + by_1 + c|}{\sqrt{a^2 + b^2}}\)

The point (2,−1) and a line with the equation y = − x + 4. Transform the equation of the line into standard form. Then we have

y = − x + 4

x + y − 4 = 0

Then the distance between them will be

\(\rm d = \dfrac{|2 - 1 - 4|}{\sqrt{1^2 + (-1)^2}}\)

Simplify the equation, then we have

d = 3/√2

d = 2.12

The distance from point A(2,−1) to the line y = −x+4 will be 2.12 units.

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Answer: 4.3 meters

Step-by-step explanation:

Let the angle opposite the 3-meter side be \(\alpha\).

Using the Law of Sines,

\(\frac{\sin \alpha}{3}=\frac{\sin 25^{\circ}}{2}\\\\\sin \alpha=1.5 \sin 25^{\circ}\\\\\alpha=\arcsin(1.5 \sin 25^{\circ})\)

Using the sum of the angles in a triangle, the angle opposite the side \(\ell\) is \(155^{\circ}-\arcsin(1.5 \sin 25^{\circ})\).

Using the Law of Sines,

\(\frac{\ell}{\sin(155^{\circ}-\arcsin(1.5 \sin 25^{\circ})}=\frac{2}{\sin 25^{\circ}}\\\\\ell =\frac{2\sin(155^{\circ}-\arcsin(1.5 \sin 25^{\circ})}{\sin 25^{\circ}}\\\\\ell \approx 4.3\)

Answer:  The correct answer is 4.3

Step-by-step explanation:

This is an Obtuse Scalene Triangle

Side a = 2

Side b = 3

Side c = 4.26571

Angle ∠A = 25°

Angle ∠B = 39.34°

Angle ∠C = 115.66°

Area = 2.70415

Perimeter p = 9.26571

Semiperimeter s = 4.63285

Calculate c, ∠B, and ∠C based on given a, b, and ∠A.

∠B = arcsin(b·sin(A)/a)

= 0.68662 rad = 39.34°

∠C = 180° - A - B = 2.01864 rad = 115.66°

c = a·sin(C)/sin(A) = 4.26571 = 4.3

No, Savannah is incorrect. Doubling the length, width, and height of a right rectangular prism will not double its surface area.

Surface area is the total area of an object's exposed faces, including any external surface area. It is a measure of the size of a surface and is usually expressed in square units such as square meters or square centimeters. Surface area is a two-dimensional measurement, since it only takes into account the area of a surface, and not its thickness or volume.

The surface area of a right rectangular prism is calculated by multiplying the length by the width and then multiplying that number by two and adding the two products together.

For example, the surface area of a right rectangular prism with a length of 15 cm, a width of 10 cm, and a height of 5 cm is calculated as follows:

Surface area = (15 cm * 10 cm) + (15 cm * 5 cm) = 150 cm2 + 75 cm2 = 225 cm2

Doubling the length, width, and height of this right rectangular prism would give us a prism with a length of 30 cm, a width of 20 cm, and a height of 10 cm. The surface area of this new prism would be calculated as follows:

Surface area = (30 cm * 20 cm) + (30 cm * 10 cm) = 600 cm2 + 300 cm2 = 900 cm2

As you can see, doubling the length, width, and height of the right rectangular prism does not double its surface area - the surface area has increased by four times (900 cm2/225 cm2 = 4).

In conclusion, doubling the length, width, and height of a right rectangular prism does not double its surface area; rather, it increases the surface area by a factor of four.

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No, Savannah is incorrect. Doubling the length, width, and height of a right rectangular prism will not double its surface area.

Surface area is the total area of an object's exposed faces, including any external surface area. It is a measure of the size of a surface and is usually expressed in square units such as square meters or square centimeters. Surface area is a two-dimensional measurement, since it only takes into account the area of a surface, and not its thickness or volume.

The surface area of a right rectangular prism is calculated by multiplying the length by the width and then multiplying that number by two and adding the two products together.

For example, the surface area of a right rectangular prism with a length of 15 cm, a width of 10 cm, and a height of 5 cm is calculated as follows:

Surface area = (15 cm * 10 cm) + (15 cm * 5 cm) = 150 cm2 + 75 cm2 = 225 cm2

Doubling the length, width, and height of this right rectangular prism would give us a prism with a length of 30 cm, a width of 20 cm, and a height of 10 cm. The surface area of this new prism would be calculated as follows:

Surface area = (30 cm * 20 cm) + (30 cm * 10 cm) = 600 cm2 + 300 cm2 = 900 cm2

As you can see, doubling the length, width, and height of the right rectangular prism does not double its surface area - the surface area has increased by four times (900 cm2/225 cm2 = 4).

In conclusion, doubling the length, width, and height of a right rectangular prism does not double its surface area; rather, it increases the surface area by a factor of four.

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