A 81​-inch board is cut into two pieces. One piece is two times the length of the other. Find the length of the shorter piece.

Answers

Answer 1
Piece #1: 20.25 in

Piece #2: 60.75 in

Related Questions

How do you Factor out greatest common factor of 30x³y³z²+12x²y²z³-18x⁵y⁶z ?

Answers

Step-by-step explanation:

30x³y³z²+12x²y²z³-18x⁵y⁶z

6x²y²z(5xyz+2z²-3x³y⁴).

hope this helps you.

Solve for x: 7x-3/2 = -2/3​

Answers

Hence, the value of x ix 5/21.

★ Solution (1) :-

[tex]\sf \leadsto \dfrac{7x - 3}{2} = \dfrac{-2}{3}[/tex]

[tex]\sf \leadsto 3(7x - 3) = -2(2)[/tex]

[tex]\sf \leadsto 21x - 9 = -4[/tex]

[tex]\sf \leadsto 21x = -4 + 9[/tex]

[tex]\sf \leadsto 21x = 5[/tex]

[tex]\sf \leadsto x = \dfrac{5}{21}[/tex]

Answer:

5/42

Step-by-step explanation:

7x - 3/2 = -2/3          (Take -3/2 to the other side so it becomes +3/2)

7x = -2/3 +3/2          (Add the two fractions)

7x = 5/6                    (7 is taken to the other side so 5/6 ÷ 7)

x = 5/42

Help me answer this please quickly!

Answers

Answer:

Step-by-step explanation:

When two lines intersect, the non adjacent angles formed are called vertical angles and they are congruent.

∠FZG = ∠HZJ   {Vertical angles are congruent.

∠FZG = 38°

Answers?..............​

Answers

The first one is 1
The second one is 1
The third one is 1
Their all 1, because any power with a base of 1, will equal 1. It’s like doing 1x1x1= 1. 1 multiplied to itself will equal 1.

please answer the 5 Question please ASAP

Answers

Answer:

1: C

2: D

3: i am not sure about this one since theres no question

4: D

5: D

HELPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

11

Step-by-step explanation:

1. You could solve this as a way of just knowing that 6+11=17.

2. You could also solve this algebraically by subtracting 6 on both sides and getting y=11 because 17-6=11.

Answer:

y=11

Step-by-step explanation:

6+y=17

y=17-6

y=11

If a snail travels 2/5 of an inch in 2/3 of a minute, then how far can it travel in 1 full minute? ___Inches

Answers

Answer:

4 in / min

^Speed of snail

1min × 60 = 1hour

(4 in / min) × 60 = 240 in / hour

12 in = 1 ft.

240in / 12 = 20ft. every. hour OR 20ft. / h

Step-by-step explanation:

pls help i’m crying

Answers

Answer: I think the answer is 81, but I don’t have a good explanation.

Step-by-step explanation: if you can find the angle next to 12x-3 (D), and the angle of 8+15x they should equal 180 degrees.

The Triangle Exterior Angle Postulate states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

In the given problem, the exterior angle is < JDC, and its measure is equal to the sum of the measures of < (12x -3)° and < 32°.

We can set up the following equality statement to solve for the value of x, and find out the measure of < JDC:

m < JDC° =  < (12x -3)° + < 32°

< (8 + 15x)° = < (12x -3)° + < 32°

Subtract 8 from both sides:

8 - 8 + 15x = 12x - 3 + 32 - 8

15x = 12x + 21

Subtract 12x from both sides:

15x - 12x = 12x - 12x + 21

3x = 21

Divide both sides by 3 to solve for x:

3x/3 = 21/3

x = 7

To verify whether the value for x is correct, substitute x = 7 into the equality statement:

m < JDC° =  < (12x -3)° + < 32°

< (8 + 15x)° = < (12x -3)° + < 32°

[8 + 15(7)]° = [12(7) - 3]° + 32°

8° + 105° = 81° + 32°

113° = 113° (True statement). Therefore, the correct value for x = 7.

Therefore, the correct answer is C) m < JDC = 113°.

Please mark my answers as the Brainliest, if you find this helpful :)

Two jars of sweets have the same amount of sweets inside.
25% of the sweets in jar A are orange.
2 fifths of the sweets in jar B are orange.
10 sweets in jar A are orange. How many are orange in jar B?

Answers

Answer:

4 sweets are orange in jar B

Step-by-step explanation:

3x - 5 < -14 or 2x - 1 > 7 for x

Answers

Answer:

see below

Step-by-step explanation:

x < -3  for the first equation

x > 4 for the second equation

Which expression describes 10−7?

Answers

Unless we are missing more information (which I think we may be as this is a simpler question)

10 - 7 = 10 - 7 = 3

If you need it in words:

Ten minus seven

- or -

Seven subtracted from ten

The figure below has what type of symmetry?

Answers

Answer:

c both point and line symmetry.

scale the numerator and the denominator up by a factor of 5 (multiply) to write a
fraction equivalent to 3/10.

Answers

Answer:

15/50

Step-by-step explanation:

5*3=15

5*10=50

so 15/50.

Find the train fares. Assume one half of adult fare for children 1-12. Children
under 1 ride free.

Adult fare: $260

Adults: 2

Children:
4 mo.
2 yr.
4 yr.
6 yr.
7 yr.

Answers

Answer:

(D) 6yr

Step-by-step explanation:

Ans: 1040 (520+520)
4mo is free
Children under 12 yrs fare equals to $130 (260/2) (130 x 4 = 520)
Adult: (260 x 2 = 520)

PLZZZ HELPP REALLLY QUICKKK I WILL GIVE SOMEONE BRAINLEST PLZZ HELLPPP AND EXPLAINNNN PLZZZ EXPLAINNN

Answers

Hi there!

The ratio of the base to the height is 4:1, so:

12 cm : x cm

12/4 = 3, which is the scale. Thus, x = 3 cm.

Find the area using the equation A = b × h

A = 3 × 12 = 36 cm²

How many variable terms are in the expression 3x3y + 5xz − 4y + x − z + 9?

(Input a numeric value only.)

Answers

Answer:

3

Step-by-step explanation:

there are only x y and z used in the expression no matter how many times they multiply.

Mrs. Alejandro places four cards on the board. Which does not represent the same distance?

A. 36 yards
B. 432 feet
C. 1296 inches
D. 108 feet

Answers

Answer:

B. 432 feet

Step-by-step explanation:

36 yards * 3 = 108 feet

108 feet * 12 = 1296 inches

the price of an item is $45.00. After a discount, the price is $38.25. What is the percent of the discount?
If you answer correctly ill give the brainliest.

Answers

Answer:

92.5% before discount 100% after discount is 92.5%

the sum of three numbers is 131. the third number is 4 times the first. the second number is 5 more than the first. what are the numbers

Answers

Step-by-step explanation:

let the numbers are:

a, b, and c

the equation would be:

a+b+c = 131

c = 4a

b = a+5

=>

a + a+5 +4a = 131

6a +5 = 131

6a = 131-5

6a = 126

a= 126/6

a = 21

b = a+5 = 21+5

b = 26

c = 4a = 4(21)

c = 84

Plz I am really stuck on this question, your time is appreciated.

Answers

Answer: 0.05

Step-by-step explanation:

1) Re-arrange the formula given to find the rate (r)

I = Prt

becomes r = I / Pt

Now we add in the values we know

P = 3000, t = 3 years, I = 450

r = 450 / ( 3000 × 3 )

r = 0.05 or 5% / year

make x the subject
h=4(x+3y)+2

Answers

Answer:

x=(h-12y-2)/4

Step-by-step explanation:

h=4x+12y+2

4x=h-12y-2

x=(h-12y-2)/4

Someone plz help me :(

Answers

Answer:

C

Step-by-step explanation:

Answer:

C. (1, 3) & (6, 3)

Step-by-step explanation:

A is incorrect as the points are only 1 unit apart on the x-axis. (3 - 2 = 1)

B is incorrect as the points are only 2 units apart on the x-axis. (3 - 1 = 2)

C is correct as the points are 5 units apart on the x-axis (6 - 1 = 5)

D is incorrect as the points are 4 units apart on the x-axis (5 - 1 = 4)

Hope this helped! You can also plot the points on graph paper and find the distance that way.

after a 60% reduction, you purchase a new soft drink machine on sale for $200. what was the original price of the soft drink

Answers

your answer is 740 {:

Step-by-step explanation:

let x be the original price

then we write our equation

x-60%x=200 (x=100%x)

100%x-60%x=200

40%x=200

(40/100)x=200

x=(200*100)/40

x=20000/40=500

so the original price was $500

Jean gets a commission of 20% on bread sold. In one week, Jean’s commission was $45,000.00.how much bread did he sell during that week?

Answers

Answer: 9,000

Explanation: .20%*45,000=

9,000


Find the equation of the line passing through points (6,0) and (-1,14)

will give brainliest

Answers

Answer:

Step-by-step explanation:

Step 1. Find the slope:

[tex]slope = m = \frac{y_{2} - y_{2} }{x_{2} - x_{1} }[/tex]

point 1, ([tex]x_{1} y_{1} \\[/tex])

point 2, ([tex]x_{2} , y_{2} \\[/tex])

b) Write 25 x 10^6 in standard form​

Answers

Answer:

The final answer is 25000000.

Step-by-step explanation:

Answer:

25000000

Step-by-step explanation:

10^6 = 1000000

25 x 10^6 = 25000000

Find the GCF (Greatest Common Factor) of each pair of numbers:
9 and 36
35 and 42
100 and 120
84 and 42

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Answers are :

9 and 36 [tex]\rightarrow[/tex] 9

35 and 42 [tex]\rightarrow[/tex] 7

100 and 120 [tex]\rightarrow[/tex] 20

84 and 42 [tex]\rightarrow[/tex] 42

Answer:

9 and 36 = 9

35 and 42 = 7

100 and 120 = 20

84 and 42 = 42

Scale the numerator and the denominator down by a factor of 4 (divide) to write a fraction equivalent to 8/56. (i really need help with this)

8/56 = ??

Answers

Answer:

2/14

Step-by-step explanation:

when you scale the numerator and denominator down by 4, you just divide both of them by 4. So since 8 divided by 4 is 2 and 56 divided by 4 is 14, the answer is 2/14

f(x)= x² +5x-2
Find the vertex

Answers

Answer:

(-5/2, -33/4)

Step-by-step explanation:

-b/2a

-5/2 = x

f(-5/2) = (-5/2)^2 + 5(-5/2)-2 = -33/4

Can someone please help me

Answers

Answer: im not sure but it should be 5 that symbol then 3

Step-by-step explanation: ez dubs and also i love pizza this is for the points XD

Using Pythagorean theorem

[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]

[tex]\\ \sf\longmapsto H^2=(5√3)^2+5^2[/tex]

[tex]\\ \sf\longmapsto H^2=75+25[/tex]

[tex]\\ \sf\longmapsto H^2=100[/tex]

[tex]\\ \sf\longmapsto H=10[/tex]

Done

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