A 25-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third piece is one inch more than five times the length of the first piece. Find the lengths of the pieces.

Answer:

30 cm

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

Option 1,3,4,6 are correct

Explanation

Step-by-step explanation:

we have formula for discriminant that is D=b^{2} -4acD=b

2

−4ac

when D>0 the roots are real and unequal

when D= 0 roots are real and equal

and when D< 0 roots are imaginary or not real and unequal

In 1st equation: x^2+6x+8x

2

+6x+8

a=1,b=6,c=8 on substituting the values in the formula we will get

D=6^2-4(1)(8)=4 > 0D=6

2

−4(1)(8)=4>0 hence real and unequal roots.

In 2nd equation:x^2+4x+8x

2

+4x+8

a=1,b=4,c=8 on substituting values in formula

D=4^2-4(1)(8)=-16 < 0D=4

2

−4(1)(8)=−16<0 so roots are not real

In 3rd equation x^2-12x+3x

2

−12x+3

a=1,b=-12,c=3 on substituting values

D=D=(-12)^2-4(1)(3)=132 > 0D=(−12)

2

−4(1)(3)=132>0 roots are real and unequal

In 4th equation: x^2+4x-1x

2

+4x−1

a=1,b=4,c=-1 on substituting the values

D= 4^2-4(1)(-1)=20 > 0D=4

2

−4(1)(−1)=20>0 real roots

In 5th equation:5x^2+5x+45x

2

+5x+4

a=5,b=5,c=4 on substituting the values

D=5^2-4(5)(4)=-55 < 0D=5

2

−4(5)(4)=−55<0 roots are not real

In 6th Equation: x^2-2x-15x

2

−2x−15

a=1,b=-2,c=-15 on substituting the values

D=(-2)^2-4(1)(-15)=64 > 0D=(−2)

2

−4(1)(−15)=64>0 roots are real

Answer:

20%

Step-by-step explanation:

Divide 16 by 80 and you get 0.2 as an answer and to get a percent you move the decimal 2 places to the right to fet 20%

Isabel has completed 20 percent of the race of 80 miles.

A percentage is a quantity or ratio that, in mathematics, represents a portion of one hundred. It is one method for illustrating a relationship between two integers that has no dimensions.

Given, Isabel has ridden 16 miles of a bike course. The course is 80 miles long.  From the general formula of percentage:

For the percentage, we have to divide the value by the total value and then multiply the result by 100.

percentage of the course has Isabel ridden so far = (16/80) * 100

percentage of the course has Isabel ridden so far = 1/5*100

percentage of the course has Isabel ridden so far = 20%

Therefore, Isabel has ridden 20 percent of the course which is 80 miles.

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Answer:

15,840 i did this in test and got 100%

Step-by-step explanation:

The total feet ran by Rachel is given by the equation A = 15,840 feet

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the total miles ran by Rachel be A = 3 miles

Now , the value of 1 mile = 5,280 feet

Substituting the values in the equation , we get

The distance of 3 miles in feet = 3 x value of 1 mile

On simplifying the equation , we get

The distance of 3 miles in feet = 3 x 5,280

The distance of 3 miles in feet = 15,840 feet

Therefore , the distance ran by Rachel A = 15,840 feet

Hence , the equation is A = 15,840 feet

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Answer:

There is a 92°F difference between the two cities.

Step-by-step explanation:

Since you are finding the difference of temperatures between the two cities, you need to subtract -14 from 78. It looks like 78-(-14). Since you are subtracting a negative number, the equation becomes 78+14. 78+14 is 92.

9514 1404 393

Answer:

  (b)  x = 3, y = 2

Step-by-step explanation:

In order for the triangles to be congruent by the HL theorem, the hypotenuses must be congruent:

  3y = x+3

and the corresponding legs must be congruent:

  y +1 = x

__

We can solve this set of equations by substituting for x:

  3y = (y +1) +3

  2y = 4 . . . . . . . .subtract y

  y = 2 . . . . . . . . .divide by 2

  2+1 = x = 3 . . . substitute for y in the equation for x

The solution is (x, y) = (3, 2).

Answer:

I think 4.5 cm.

Step-by-step explanation:

Hope that may be right.

Answer:

2. 77.9

Step-by-step explanation:

I think its that i looked up the formula sorry if im wrong

Answer:

1/100

Step-by-step explanation:

Hope it helps

Please brainliest

Answer:

Tank 2 filling faster

Step-by-step explanation:

Tank 1 filling at 1 1/8 gallons per minute (3/4 ÷ 2/3)

Tank 2 filling at 1 1/4 gallons per minute (5/8 ÷ 1/2)

Answer:

Rational.

Step-by-step explanation:

Natural numbers are numbers 1 through infinite.

Whole numbers are numbers 0 through infinite.

Integers are negative numbers (No decimals nor fractions)

Rational numbers are fraction/decimal numbers (can be negative).

Irrational numbers are squared numbers.

Real numbers includes all of the above mentioned.

Hope this helps.

Answer:

A. rational numbers

Step-by-step explanation:

-1/4 belongs to rational number

Answer:

38

Step-by-step explanation:

Answer:

0.25 liter

Step-by-step explanation:

Answer:

2.

Step-by-step explanation:

y = 3/4x +1

m = 3/4 b = 1

hope this helps

Answer:

-0.25268 rad + 2πn  ,   3.394273 rad + 2πn

 ≈  - π /12 + 2πn,   π + 2πn

Step-by-step explanation:

sin( x ) = -0.25

x = sin^-1 ( -25 )

 The solutions of the equation  sin( x ) = -0.25 are :

X = -0.25268rad + 2πn  ,    3.394273rad + 2πn

  ≈  - π /12 + 2πn,   π + 2πn

Answer:

189.

Step-by-step explanation:

I divided 42 by 2 and got 21..

Then, I multiplied 21 by 9 and got 189!

Answer:

A. 40 2/9

Step-by-step explanation:

If I first multiply the whole numbers, so 2 x 5 x 4 that would equal 40. Next you can multiply the fractions, so 2/3 x 1/3 that equals 2/9. So the answer is 40 2/9

Ok so I am not exactly sure if you want to know how many whole cups can be added or simply how many 2/3 cups make up 10, but heres what I found.

So to find how many 2/3 is in 10 cups you simply have to divide

10/(2/3) = 15

So 10 cups of flour is 15 (2/3) cups of flour.

Hope this helps :)

Answer:

the answer is y=48

Step-by-step explanation:

you divide the arc by 2 if it's an inscribed angle

Answer: 48

Step-by-step explanation: 96/2

Answer:

Step-by-step explanation:

[tex]4^4\\A^3[/tex]

Answer:

[tex]4^{4}[/tex] and [tex]A^{3}[/tex]

Step-by-step explanation:

Answer:

156.5

Step-by-step explanation:

The height of the flagpole to the nearest tenth of a foot is 156.5 ft.

Word Problems involving the use of the Pythagoras theorem need careful understanding to discern the complexity of the variables given, the using the Pythagoras theorem to solve the eqaution.

The Pythagoras Theorem states that the sum of the squares of the opposite side and the adjacent side is equal to the hypotenuse square.

From the information;

Using the Pythagoras theorem, we have;

hyp² =  opp² + adj²

350² = (2x)² + x²

350² = 4x² + x²

122500 = 5x²

x² = 122500/5

x² = 24500

x = √24500

x = 156.5 ft

Therefore, we can conclude that the height of the flagpole is approximately 156.5 ft.

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Answer:

89m ^2

Step-by-step explanation:

purple 8x13 = 104

triangle 1/2(5)(6) = 15

104-15 = 89

Answer:

X=8

Step-by-step explanation:

Answer:

5086.8 cubic yards

Step-by-step explanation:

Given data

Height = 20yards

Diamter= 18 yards

Radius= 9 yards

The expression for the volume of a cylinder is given as

V=πr^2h

substitute

V=3.14*9^2*20

V=3.14*81*20

V=5086.8 cubic yards

Answer:

rational

Step-by-step explanation:

its so because they fit equaly

Answer: 1.35 inches

hope this helps