1. Albert bought a bicycle for $27 500. He sold it for $35 500.
a) What was the amount of his profit?
b) What was his percentage profit?​

Answer:

All real numbers

Step-by-step explanation:

3(5x - 4) < 15x

~Distribute left side

15x - 12 < 15x

~Subtract 15x to both sides

-12 < 0

Best of Luck!

Answer: Kiran is correct

Step-by-step explanation: kiran would be correct because if they were to double the length of the rectangle then the corner to corner length would also double. Sure mai is right when she says that the diagonal length is longer then to two side lengths but that doesn't change the fact that it would only double and nothing more.

Answer:

The number of pencils that needs to be placed at the other 1 inch end to get a balance again is approximately 3 pencils

Step-by-step explanation:

The given parameters are;

The length of the ruler used as a seesaw = 12 inch

The location where the pencil is placed = Under the 4 inch mark

The location where the weight is placed to balance the seesaw = The 2 inch mark

Therefore, the pencil at the 4 inch mark is fulcrum

The location where a pencil is placed on the ruler = The 12 inch end

The number of pencils, x, that needs to be placed at the other 1 inch end to get a balance again is given as follows;

The distance of the pencil at the 12 inch end from the fulcrum = 12 inches - 4 inches = 8 inches

The distance of the pencils placed at the 1 inch end from the fulcrum = 4 inches - 1 inch = 3 inches

Therefore at balance point, (equilibrium) the anticlockwise moment = The clockwise moment, which gives;

The mass of 1 pencil × 8 inches = x × The mass of 1 pencil × 3 inches

x = (The mass of 1 pencil × 8 inches)/(3 inches × The mass of x × 1 pencil)

x = 8/3 = 2.[tex]\overline 6[/tex]  ≈ 3 pencils

The number of pencils that needs to be placed at the other 1 inch end to get a balance again = x ≈ 3 pencils.

Answer:

32.25 miles in 43mins

45miles in an hour

Step-by-step explanation:

Divide '2 1/2' by '3 1/3' to find the distance done in a minute: 0.75 miles

Multiply the distance done in a minute(0.75) by 43 to find the distance done in 43 minutes: 32.25miles

Multiply the distance done in a minute(0.75) by 60 to find the distance done in an hour: 45miles

Answer:

11 years old

Step-by-step explanation:

Let x be Savannah's age

Ahsleys age should be 4 years less than three times Savannah's age

3x (Savannah) - 4 (years)

Then, you make an equation.

29 years old = 3x-4

simplify:

add four on both sides

33=3x

divide by three on both sides

x=11

Answer:

Vertex is (-1,1)

Y-intercept is (0,0)

Axis of symmetry is x= -1

Answer:

3

Step-by-step explanation:

[tex] | - 3| = 3[/tex]

Hope it helps you in your learning process.

the answer is 0.30 your welcome

Answer:

A ratio is a comparison of two numbers. A rate, by contrast, is a comparison of two quantities which can have different units.

Step-by-step explanation:

For example 5 miles per 3 hours is a rate, as is 34 dollars per square foot.

Answer:

19/15

Step-by-step explanation:

To solve this, we need to add 2/3 and 3/5, to do this, we need to find the LCM of 3 and 5, that is 15. We multiply 2/3 by 5/5 and 3/5 by 3/3. This gets us 10/15 + 9/15. When we add those together, we get 19/15.

Answer:

9/15+10/15

19/15

I hope this helps:

Answer:

8 1/2

Step-by-step explanation:

She read 8 1/2 pages each day because if you divide 85 by 10 you will get 8 1/2.

The ratios 3:8 and 4:7 are not proportion. You can tell this easily by how in the second ratio, the first number is one larger, but the second number is 1 lower. If this was proportional, then both numbers would go either up or down depending on the circumstance.

May I have brainliest pleasER? :)

Answer:

its b

Step-by-step explanation:

The equation that represents the distance (d) Allison has left to drive after h hours is given by: Option C: d = 380 - 60h

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

We're given that:

In 1 hour, she averagely covers 60 miles.

In h hours, she averagely covers [tex]60 \times h[/tex] hours

d = distance remaining for her to reach to her grandmother's home after h hours of driving

d = Total distance - distance traveled in h hours

d = 380 - 60×h

(sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together, so 60×h can be simply written 60h)

Thus, the equation that represents the distance (d) Allison has left to drive after h hours is given by: Option C: d = 380 - 60h

Learn more about forming equations here:

https://brainly.com/question/11938672

Answer:

x = 6

Step-by-step explanation:

According to Exterior Angle Property of a triangle , measure of an exterior angle is the sum of its opposite interior angles.

Using the exterior angle property ,

[tex]17x - 23 = 3x + 17 + 8x - 4[/tex]

[tex] = > 17x - 23 = 11x + 13[/tex]

[tex] = > 17x - 13x = 23 + 13[/tex]

[tex] = > 6x = 36[/tex]

[tex] = > x = \frac{36}{6} = 6[/tex]

Answer: It’s D

Step-by-step explanation:

Answer:

20 of the computers are Mac

Step-by-step explanation:

if 1 pc = 5 Mac

4 pc = 20 mac

add 4 + 20 you get 24 which is the total number of computers

Answer:

Step-by-step explanation:

The y-intercept is 10 of the line that passes through the points (2,7) and (6,1).

The equation of a line is found using the slope-intercept form of a straight line. We need to know the slope of the line and the intercept where the line crosses the y-axis in order to use the slope-intercept formula. Consider a straight line with y-intercept b and slope m. For a straight line with slope "m" and y-intercept "b," the slope intercept form equation is: y = mx + b.

Given that the points are (2,7) and (6, 1).

To find the equation, using the slope formula;

m = (y₂ - y₁) / (x₂ - x₁)

m = (1 -7) / (6-2)

m = -6/4

m = -3/2

Now to find the slope intercept form,

y = (-3/2)x + b,

here b is the y-intercept.

Now we will substitute the value of (2,7) in the slope intercept equation.

Hence, b = 10

Therefore, the y-intercept is 10 of the line that passes through the points (2,7) and (6,1).

To learn more about the slope-intercept form;

https://brainly.com/question/19824331

#SPJ2

Answer:

1/3

Step-by-step explanation:

Answer: obtuse

Step-by-step explantion: 20+30=50   180-50=130        130 is an obtuse angle.

Answer:

1.

x1=1

x2=3

y1=5

y2=1

midpoint= (x1+x2/2, y1+y2/2)=(1+3/2,5+1/2)=(2,3)

2.

x1=2

x2=4

y1=4

y2=6

midpoint= (x1+x2/2, y1+y2/2)=(2+4/2,4+6/2)=(3,5)

3.

x1= -2

x2=4

y1=4

y2= -6

midpoint= (x1+x2/2, y1+y2/2)=(-2+4/2,4-6/2)=(1,-1)

4.

x1=0

x2=0

y1=3

y2=5

midpoint= (x1+x2/2, y1+y2/2)=(0/2,3+5/2)=(0,4)

5.

x1= -2

x2=2

y1= -6

y2=6

midpoint= (x1+x2/2, y1+y2/2)=(-2+2/2,-6+6/2)=(0,0)

6.

x1=1

x2=4

y1=4

y2=5

midpoint= (x1+x2/2, y1+y2/2)=(1+4/2,4+5/2)=(5/2,9/2)

7.

x1=-3

x2=-4

y1=5

y2=5

midpoint= (x1+x2/2, y1+y2/2)=(-3-4/2,5+5/2)=(-7/2,5)

8.

x1=5

x2= -4

y1=2

y2=6

midpoint= (x1+x2/2, y1+y2/2)=(5-4/2,2+6/2)=(1/2,4)

Answer:

6(x-4) and 3(2x-8)

tell me if i did it right

Answer:

D

Step-by-step explanation: your welcome have a good day

Answer:

C.  [tex] \dfrac{1}{3x + 1} [/tex]

Step-by-step explanation:

[tex] \dfrac{x + 2}{x^3 + 2x^2 - 9x - 18} \div \dfrac{3x + 1}{x^2 - 9} = [/tex]

Factor all polynomials.

[tex] = \dfrac{x + 2}{x^2(x + 2) -9(x + 2)} \div \dfrac{3x + 1}{(x + 3)(x - 3)} [/tex]

[tex] = \dfrac{x + 2}{(x^2 - 9)(x + 2)} \div \dfrac{3x + 1}{(x + 3)(x - 3)} [/tex]

[tex] = \dfrac{x + 2}{(x + 3)(x - 3)(x + 2)} \div \dfrac{3x + 1}{(x + 3)(x - 3)} [/tex]

To divide by a fraction, multiply by its reciprocal.

[tex] = \dfrac{x + 2}{(x + 3)(x - 3)(x + 2)} \times \dfrac{(x + 3)(x - 3)}{3x + 1} [/tex]

Cancel out common factors in the numerator and denominator.

[tex] = \dfrac{1}{3x + 1} [/tex]

Answer:

Step-by-step explanation:

first put the inequality into slope intercept form (y-mx+b)

x-3y</=18

-3y</=-x+18

y>/=1/3x-6 (you have to flip the sign since you are dividing by a negative number)

then graph it (i attached a picture)

to figure out what side to shade in you can substitute the point (0,0) in for x and y. if it is true you shade in the part of the graph that includes (0,0).

0>/=1/3(0)-6

0>/=-6

Answer:

5000

Step-by-step explanation:

In a right triangle ,

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

[tex] = > c = \sqrt{ {a}^{2} + {b}^{2} } [/tex]

where -

According to the question , let the hypotenuse of the triangle be 'c' . So ,

[tex]c = \sqrt{ {3000}^{2} + {4000}^{2} } [/tex]

[tex] = > c = \sqrt{9000000 + 16000000} [/tex]

[tex] = > c = \sqrt{25000000} = 5000[/tex]

Hence , c = 5000

Answer:

5000

Step-by-step explanation:

[tex]3000^{2}[/tex] + [tex]4000^{2}[/tex] = 25000000

[tex]\sqrt{25000000}[/tex] = 5000

Answer:

D. y=x2+6x+1 :) hope this helps

Answer:

D

Step-by-step explanation:

Just took the test

literally 76.2%. doesn't it say it in the text...

Answer:

76.2%

Step-by-step explanation:

Answer:

Multiply dno. plus nume. by 2

Step-by-step explanation:

get a base of 100

ok b makes more sense

Step-by-step explanation:

Answer:

[tex]\frac{8}{15}[/tex]

Step-by-step explanation:

[tex]\frac{4}{5}[/tex] × [tex]\frac{2}{3}[/tex] ( multiply values on numerators/ denominators together )

= [tex]\frac{4(2)}{5(3)}[/tex] = [tex]\frac{8}{15}[/tex]