A savings account increases from ​150$ to ​153$. What is the percent increase of the savings​ account?

Step-by-step explanation:

a midsegment is the line segment connecting the midpoints of two sides of a triangle. Since a triangle has three sides, each triangle has three midsegments (that create the midsegment triangle). A triangle midsegment is parallel to the third side of the triangle and is half of the length of the third side (due to similar triangles and their constant scaling factors, when one side of the similar triangle is half of the sys of the original triangle, then all its sides are half of their original counterparts).

the 3 sides of the main triangle are

2x + 5

3x - 1

5x

the perimeter of the main triangle is the sum of these :

2x + 5 + 3x - 1 + 5x = 10x + 4

since the sides of the midsegment triangle are all exactly half the length of the sides of the main triangle, also the perimeter of the midsegment triangle is half of the perimeter of the original triangle :

(10x + 4) / 2 = 5x + 2

The speed of the car is 41.7 m/s when the power is 1890 watts.

Proportion is defined as an equation on which two or more ratios are made to be equal to each other.

It is given that the power, P is proportional to square of the Speed,s.

If P ∝ s², then P = k s², for some constant k.

When s = 45 m/s, P = 2200 watts

k = P / s² = 2200 / 45² = 1.086

∴ when P = 1890 watts,

1890 = 1.086 × s²

s² = 1740.331

s = 41.717 ≈ 41.7 m/s

Hence, if power is proportional to the square of the speed, then, the speed of the car engine is 41.7 m/s if the power is 1890 watts.

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Answer:

True

Step-by-step explanation:

Answer:

Side AB and side BC

Step-by-step explanation:

Hope it helps

Answer:

1.05 ounces

Step-by-step explanation:

Purest gold is 24 karat

So ATQ:

Step-by-step explanation:

TO find the vertex, you need to find the x− and y− coordinates.

The formula for the axis of symmetry and the x-coordinate of the vertex is:

x = -b over 2a

To find the y-coordinate the vertex, substitute the value for x into the equation and solve for y

y=a(-b over 2a) squared + b(-b over 2a) + c

Answer:

a. is correct

b. not correct

c. not correct

d. is correct

Step-by-step explanation:

3-75:

a) 3x + 7 = x - 1

Subtract 7 on both sides to get 3x = x - 8, then subtract x from 3x to get 2x = -8, finally divide 2 on both sides to get x = -4. (Answer is yes)

b) -2x - 4 = -4x + 3

Add 4 on both sides to get -2x = -4x + 7, then add 4x to -2x to get 2x = 7, finally divide 2 on both sides to get x = 7/2. (Answer is no)

c) -3x + 5 + 5x - 1 = 0

Add 1 on both sides to get -3x + 5 + 5x = 1, then subtract 5 on both sides to get -3x + 5x = -4, next combine -3x and 5x together to get 2x = -4, finally divide 2 on both sides to get x = -2. (Answer is no)

d) -(x - 1) = 4x - 5 - 3x

Combine 4x and -3x together to get

-(x - 1) = x - 5, then add (x - 1) and (x - 5) together to get 2x - 6, next do 2x - 6 = 0 and solve for x, by adding 6 on both sides to get 2x = 6, and finally dividing 2 on both sides to get x = 3. (Answer is yes)

Explanation:

I did the whole 3-75 section for you, but I didn't really understand 3-76, and my brain was already hurting by the time I got to section 3-77, sorry.

Hope this helps though, I did my best :)

Answer:

y=8

Step-by-step explanation:

Multiply both sides of the equation by 4.

y−64=−56

Add 64 to both sides.

y=−56+64

Add −56 and 64 to get 8.

y = 8

and have a good day as well

Answer:

Total budget this year = $ 2000 more than last year. Let x = Budget for this year. Money on entertainment = 0.06x = 2760. ⇒ Budget for this ...

Step-by-step explanation:

Answer:

7/8

Step-by-step explanation:

1 and 1/4 would equal 5/4. This would be 5/4-3/8, which equals 10/8-3/8=7/8

Answer:

0.875

Step-by-step explanation:

Answer:

6(x)

Step-by-step explanation:

Answer:

6x

Step-by-step explanation:

x represents a number, it is also called a variable.

If there is 2 of x, it would be represented like this: 2x

If there is 1 of x, it would be represented like this: x

Answer:

12.5% as a fraction is written as 25/2

Step-by-step explanation:

step 1; write the given number as the numerator and place 1 in the denominator right below the decimal point followed by the numbers of zeros vital or require according.

step in this case 12.5 has one number after the decimal number so we place 10 in the denominator and remove the decimal point. this will make it 125/10.

step 2: then , this fraction can be simplified. 125/10=(125÷5)/(10÷5) =25/2

D, she needs to make 5 more treats.

Answer:

Step-by-step explanation:

Number of required treats:

Remaining number of treats:

Correct choice is D

Answer:

Step-by-step explanation:

[tex]a+b =1\dfrac{3}{5} + (-2)\\\\=\dfrac{8}{5}-\dfrac{2*5}{1*5}\\\\=\dfrac{8-10}{5}\\\\\\=\dfrac{-2}{5}\\\\\\2-c = 2-[-7] = 2+7 = 9\\\\\\dfrac{- I a + b I}{2-c}=\dfrac{\dfrac{-2}{5}}{9}\\\\=\dfrac{-2}{5}*\dfrac{1}{9}\\\\=\dfrac{-2}{45}\\\\[/tex]

Answer:

VW = 4 cm

Step-by-step explanation:

Congruent chords are equidistant from the centre , so

VW = UV = 4 cm

Answer:

Integration is the act of bringing together smaller components into a single system that functions as one. These links usually are established between the components of the process and control layer of each system to promote the free flow of data across systems.

Answer:

Integration is the action or process of integrating.

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

4x*x^2= 4x^3

-3x*4x =-12x^2

1*4x = 4x

= 4x^3 -12x^2 + 4x

Answer:

5x - y = 3

Step-by-step explanation:

Standard form of a linear equation is expressed as Ax + By = C

In order to express the given equation in this form, we need to isolate the constant.  We can achieve this by subtracting 5x from both sides:

y = 5x - 3

y - 5x = -3

If possible, we want A to be positive, so we can multiply both sides by -1:

-1(y - 5x) = -1(-3)

-y + 5x = 3 or 5x - y = 3

Answer:

Your answer is in the image linked below.

Step-by-step explanation:

When the shape is moved right 2, down 1, you should have this translation,  hope this helps.

Answer:

The distance formula between two points is

D=√([tex]x_{2} \\[/tex] -[tex]x_{1\\}[/tex])^2 + ([tex]y_{2}[/tex]-[tex]y_{1}[/tex])^2

Whereas

d is distance

So in this case

(-8, -1)

(-4, -9)

x2 is -4

x1 is -8

y2 is -9

y1 is -1

Now we plug them in

d= √(-4 + 8)^2 + (-9+1)^2

Now solve

it’s about

8.94427

Answer:

∑[ (250)2 (400)2 (250)2 (350)^2 (100)2 (50)2] = 420,000.

Step-by-step explanation:

You first calculate the mean which is  is 2150.

You then subtract 2150 from the 6 values in turn

The first one = 2400 - 2150 = 250.

Then you square each of the 6 results and add them up - this comes to 420,000.

Answer:

Look at my solution

Answer:

[tex] \\• \tt \: 3x \times 4y[/tex]

[tex] \\ \tt = 12xy[/tex]

[tex] \\ \tt • \: 2p \times 3q \times 5r[/tex]

[tex] \\ \tt = 30pqr[/tex]

Answer:

4

Step-by-step explanation:

Answer:

2 + 2 = 4

Step-by-step explanation:

yw :-)

Step-by-step explanation:

expand and multiply the terms

Answer:

33/16

Step-by-step explanation: