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amm1812
3 years ago
15

What do all rational numbers have in common?

Mathematics
1 answer:
NISA [10]3 years ago
5 0
They can be expressed as fractions






they have positive values and can be expressed as terminating decimals.
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A sporting goods store sells right-handed and left-handed baseball gloves. In one month, 12 gloves were sold for a total revenue
stepladder [879]

Answer:

9 right-handed gloves and 3 left-handed gloves were sold.

Step-by-step explanation:

Given:  In one month, 12 gloves were sold for a total revenue of \$561.

            right-handed gloves cost \$45 and left-handed gloves cost \$52.

To find: How much of each type of gloves did they sell?

Solution: Let they sell x  right-handed gloves, and y left-handed gloves.

Now, cost of each right-handed gloves =\$45

cost of each left-handed gloves =\$52

Total revenue =\$561

So, we get

45x+52y=561\:\:\:...(i)

Also,  in a month 12 gloves were sold.

So, we get

x+y=12\:\:\:...(ii)

Now, from (ii) we get, x=12-y.

Putting x=12-y in equation (i), we get

45(12-y)+52y=561

\implies 540-45y+52y=561

\implies7y=561-540

\implies7y=21

\implies y=\frac{21}{7}

\implies y=3

Now, putting y=3 in equation (ii), we get

x+3=12

\implies x=12-3

\implies x=9

Hence, 9 right-handed gloves and 3 left-handed gloves were sold.

7 0
3 years ago
Complete the square to transform the quadratic equation into the form (x – p)2 = q.
ryzh [129]

The transformed equation is:

(x-3)^2 = 23

Step-by-step explanation:

We have to convert the equation in the form

(x-p)^2 = q

Given equation is:

x^2-6x-8 = 6

Adding 8 on both sides

x^2-6x-8+8 = 6+8\\x^2-6x = 14

In the given equation

a = x

b= ?

So,

2.x.b = 6x\\b =\frac{6x}{2x}\\b = 3\\

So 3^2 will be added on both sides

(x)^2-6x+ (3) = 14+ (3)^2\\(x-3)^2 = 14+9\\(x-3)^2 = 23

Hence,

The transformed equation is:

(x-3)^2 = 23

Keywords: Quadratic equation, transformation

Learn more about quadratic equation at:

  • brainly.com/question/5248692
  • brainly.com/question/5223123

#LearnwithBrainly

7 0
3 years ago
Price of one CD after February discount $
Ksju [112]

Answer:

vssguudgebseisiehjejsieheusssushsbddjdhfbbfjfjfnfnfnfnfnnfjfngjfjfjfjfjfjfjfjf

6 0
2 years ago
Explain Steps. Do not answer. <br>#10 and 11<br>Questions are in the Picture
svet-max [94.6K]

Answer:

Step-by-step explanation:

For problem 10:

1. AE/ED=AC/CB (Since triangle ABC is similar to triangle ADE, we can determine that the ratio of AE to ED is equal to the ratio of AC to CB)

2. AE/ED=(AE+EC)/CB (Rewrite AC as the sum of the lengths forming it; This is sometimes referred to as the Partition Postulate)

3. 9/x=(9+6)/10 (Substitute the given values into this equation)

4. x=6 (Use algebra to solve for x)

For problem 11:

1. AG/AB=AE/AD (Use the same strategy as step one in problem 10, since the rectangles are similar we can create this equation)

2. AG/(AG+GB)=AE/(AE+ED) (Rewrite sides as the some of their parts)

3. 14/(14+7)=18/(18+x) (Substitute given values)

4. x=9 (Solve for x)

lmk if there are mistakes in my explanation, hope this helps :)

8 0
3 years ago
The base of a solid is the region in the first quadrant between the graph of y=x2 and the x -axis for 0≤x≤1 . For the solid, eac
nata0808 [166]

Answer:

The volume of the solid is π/40 cubic units.

Step-by-step explanation:

Please refer to the graph below.

Recall that the area of a semi-circle is given by:

\displaystyle A=\frac{1}{2}\pi r^2

The volume of the solid will be the integral from <em>x</em> = 0 to <em>x</em> = 1 of area A. Since the diameter is given by <em>y</em>, then the radius is <em>y/2</em>. Hence, the volume of the solid is:

\displaystyle V=\int_0^1\frac{1}{2}\pi \left(\frac{y}{2}\right)^2\, dx

Substitute:

\displaystyle V=\frac{1}{2}\pi\int_0^1\left(\frac{x^2}{2}\right)^2\, dx

Simplify:

\displaystyle V=\frac{1}{2}\pi \int_0^1\frac{x^4}{4}\, dx

Integrate:

\displaystyle V=\frac{1}{2}\pi \left[\frac{x^5}{20}\Big|_0^1\right]

Evaluate:

\displaystyle V=\frac{\pi}{40}\left((1)^5-\left(0\right)^5\right)=\frac{\pi}{40}\text{ units}^3

The volume of the solid is π/40 cubic units.

4 0
3 years ago
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