MATHEMATICS HIGH SCHOOL

Add. Reduce to lowest terms. 6 4/5 + 3 7/10 =

Answers

Answer 1
Answer:

Answer:

10(1)/(2)

Step-by-step explanation:

We are asked to add the given mixed fractions.

6(4)/(5)+3(7)/(10)

First of all, let us convert mixed fractions into improper fractions as:

6(4)/(5)\Rightarrow (6* 5+4)/(5)=(30+4)/(5)=(34)/(5)

3(7)/(10)\Rightarrow (3* 10+7)/(10)=(30+7)/(10)=(37)/(10)

6(4)/(5)+3(7)/(10)\Rightarrow (34)/(5)+(37)/(10)

Make a common denominator:

(34* 2)/(5* 2)+(37)/(10)

(68)/(10)+(37)/(10)

Combine numerators:

(68+37)/(10)

(105)/(10)

(5* 21)/(5* 2)

(21)/(2)

10(1)/(2)

Therefore, the simplified form of our given addition problem would be 10(1)/(2) .
Answer 2
Answer: 6 (4)/(5)+3 (7)/(10) = (34)/(5) + (37)/(10) = (34 * 2)/(10)+ (37)/(10) = (2*34+37)/(10) = (105)/(10) = (21)/(2) = 10 (1)/(2)

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What is the length of the radius of a circle with a center at 2 + 3i and a point on the circle at 7 + 2i?

Answers

Hello,

A=2+3i
B=7+2i
AB=B-A=7+2i-(2+3i)=5-i

Radius=√(5²+1²)=√26

Answer:

b. squareroot 26

Step-by-step explanation:

The Waverly Brush Company issued 4,000 shares of common stock worth $200,000.00 total. What is the par value of each share?

Answers

what you have to do for this is to divide the total worth ($200,000.00) by the number of shares.

So this means that we need to count:

200 000 ÷4 000

here's a trick:
if you divide two numbers with many 0s at the end, you can always erase the SAME mount of 0s at the end (this is equivalent to dividing by 10).

so
200 000 ÷4 000

is equivalent to :

200 ÷4

which is 50! (4*50=200)

so the answer is that each share was worth 50 dollars.


The par value of each share is \boxed{\$ 50} if the Waverly Brush Company issued 4,000 shares of common stock worth $200,000.00 total.

Further Explanation:

Given:

The Waverly Brush Company issued 4,000 shares.

The common stock worth is \$ 200000.

Calculation:

The given worth of the common stock is \$ 200000.

The total number of shares that Waverly Brush Company issued is 4,000.

The par value of each share can be calculated as follows,

\begin{aligned}{\text{Par value}} &= \frac{{200000}}{{4000}}\n&= \frac{{200}}{4}\n&= \$ 50\n\end{aligned}

The value of each share is \$ 50.

The par value of each share is \boxed{\$ 50} if the Waverly Brush Company issued 4,000 shares of common stock worth $200,000.00 total.

Learn more:

  1. If the clothing maker bought 500 m2 of this fabric, how much money did he lose? use 1tepiz=0.625dollar and 0.9144m=1yard brainly.com/question/2479097.
  2. Suppose that you find the volume of all the oceans to be 1.4×109km3 in a reference book. to find the mass, you can use the density of water, also found in this reference book, but first you must convert the volume to cubic meters. what is this volume in cubic meters?brainly.com/question/1446243.

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Conic sections

Keywords: company, issue, 4000 share, shares, common stock, stock amount, par value share amount, worth, Waverly Brush Company, market value, par value.

The boundary of a park is shaped like a circle. The park has a rectangular playground in the center and 2 square flower beds, one on each side of the playground. The length of the playground is l and its width is w. The length of each side of the flower beds is a. Which two equivalent expressions represent the total fencing material required to surround the playground and flower beds? Assume that the playground and beds do not overlap. The total fencing material required to fence the playground and both flower beds is

Answers

Get the perimeter of the each shape and add it all up to get the total fencing material required.

2 square flower beds = 2 x 4a = 8a
1 rectangular play ground = 2l + 2w 

total fencing material = 8a + 2l + 2w

The total fencing material required to surround the playground and flower bedswill be 8a + 2l + 2w.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The boundary of a park is shaped like a circle.

The park has a rectangular playground in the center and 2 square flower beds, one on each side of the playground.

The length of the playground is l and its width is w.

The length of each side of the flower beds is a.

The total fencing material required to surround the playground and flower bedswill be

P = 2(perimeter of square) + perimeter of rectangle

Then the perimeter of the square will be

⇒ 4a

Then the perimeter of the rectangle will be

⇒ 2(l + w)

Then we have

P = 2 × 4a + 2(l + w)

P = 8a + 2l + 2w

More about the geometry link is given below.

brainly.com/question/7558603

#SPJ5

Evaluate 33 + 8 ÷ 4.

Answers

Is the same as 33 + (8/4) because of BEDMAS, so 33 + 2 = 35
hello


 33 + (8/4) = 35 
 because of
 so 33 + 2 = 35


I hope I helped you

a train track runs parallel to a road represented by the equation y=4x+17.A train station along the track is located at the point (6,-1). What is the equation of the line that represents the train track ?

Answers

y -(-1) = 4(x - 6) <=> y = 4x -27;

A parabola and its focus are shown on the graph. the vertex of the parabola is at (0,0). what is the equation of the directrix of the parabola?A) Y=3
B) Y= -3
C) X= 3
D) X= -3

Answers

Answer:

\boxed{\boxed{x=-3}}

Step-by-step explanation:

Relation between focus, vertex and directrix-

The vertex of the parabola is at equal distance between focus and the directrix. As any point on the parabola is equidistant from both focus and directrix.

And the directrix is always perpendicular to axis of symmetry and does not touch the parabola.

From the graph, the focus is at (3, 0) and axis of symmetry is x axis or y=0 line.

So the directrix will be horizontal and on the left of the parabola.

Hence, the equation of directrix of the given parabola will be x= -3
The correct answer is D X=-3, since the directrix is always the opposite distance from the vertex as the focus is.
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