the length of a board is 2 5/8 feet long. If 5/6 of a foot is trimmed off, find the new length

Answers

Answer 1

Answer:

New length is 3 3/20 ft.

Step-by-step explanation:

The total board is 2 5/8 feet long. And since 5/6 of a foot is trimmed off, that means each piece of wood is 5/6 feet.

We can now set up an equation like this ---> 5/6 ⋅ x = 2 5/8

Now we're going to simplify --->  5/6 ⋅ x = 2 5/8

                                                      5/6 ⋅ x = 21/8              

                                                      (multiply both sides by 6)

                                                      5x = 63/4

                                                      (divide both sides by 5)

                                                      x = 63/20

                                                      x= 3.15

So, the new length is 3.15 feet long, or 3 3/20 in mixed fraction.


Related Questions

−5x+4y=3

x=2y−15



what would be the values of x and y

Answers

Answer:

x=9 y=12

Step-by-step explanation:

eqn 1 - x=2y-15

eqn 2- -5x+4y=3

-5(2y-15)+4y=3

-10y+75+4y-3=0

-6y+72=0

y= 12

x=2y-15

x=2(12)-15

x= 9

They gave that -5x+4y=3 and x=2y-15

Substitution,

-5(2y-15) + 4y=3
-10y + 75+ 4y=3
75-3 = 10y - 4y
6y = 72
y. = 72/6
Y= 12

Now find x

X= 2(12) - 15
X= 24 - 15
X= 9

Soo
X= 9; Y= 12

Find the smallest number which is when divided by 25,30and75 leavrs remainder.

Answers

Answer

you cant have a remainder bigger then your divident

Step-by-step explanation:

Answer:

The Lowest common multiple of 25, 30 and 75 is 150.

Solve the equation.
3(2x + 7) = - 23 + 14

Answers

Step-by-step explanation:

6x+21=-9

6x=-9-21

x=-30/6

x= -5

Answer:

[tex]3(2x + 7) = - 23 + 14 \\ 6x + 21 = - 9 \\ 6x = - 30 \\ x = \frac{ - 30}{6} \\ x = 5 \\ thnk \: you[/tex]

PLEASE HELP ME ITS SO CONFUSING

Answers

Answer:

Step-by-step explanation:

The first thing should always do is find a program that will show you what the graph looks like. Desmos is a free program that suits all graphing questions.

That will give you the answer (which I have labeled for you.)

First make x = 0

That gives you y = 0 + 4 = 4

The point is (0,4)

Now let y = 0

0 = -1/5 x + 4     Add 1/5x  to both sides

1/5 x = 4             Now multiply by 5

x = 5*4

x = 20

The point is (20,0)

You need one more point just to confirm your work. I chose x = - 5

When you do the calculation it comes out to y = 5

The point is (-5,5) which is labeled.

y=x^2-2x-5 vertex form

Answers

Hey there! I'm happy to help!

First, we'll want to find the vertex of this parabola.

Given the equation y=ax^2+bx+c, the formula for the x-coordinate of the vertex is always [tex]-\frac{b}{2a}[/tex].

In our equation here, our a is 1 and our b is -2.

[tex]-\frac{-2}{2}=\frac{2}{2}=1[/tex]

Now that we have our x-value of our vertex, we can plug it into our equation to find our y-coordinate.

y=1²-2(1)-5

y=1-2+5

y=-1+5

y=4

So, our vertex is at (1,4).

Vertex form is y=a(x-h)²+ k where (h,k) is our vertex. We know now that our vertex is (1,4) and we also know that our a is 1, so we can simply plug it in to this equation.

y=(x-1)²+4

Have a wonderful day and keep on learning! :D

Evaluate the expression for x = -3 and y = - 4.

2x+2y=__.

Answers

Answer:

-14

Step-by-step explanation:

Substitute the values for the variables.

[tex]2(-3)+2(-4)\\-6-8\\-14[/tex]

Answer:

-14

Step-by-step explanation:

cause you do 2(-3) + 2(-4) = -14

How many solutions are there to the equation below?
145 = 10x - 8x
O A. infinitely many
O B. 2
O c. 1

Answers

Answer:

c. one solution

Step-by-step explanation:

[tex]145 = 10x - 8x \\ 2x = 145 \\ x = 72.5[/tex]

Answer:

C

Step-by-step explanation:

yes

this is the answer for sure

Use Distributive property to write the expression without parentheses

Answers

Answer:

-4x + 5y

Step-by-step explanation:

-1/6 x 24 x simplifies to -1 times 4x, which is -4x.  -1/6 times -30y simplifies to -1 times -5y, which is 5y.

Answer:

-4x + 5y

Explanation:

- 1/6(24x - 30y) =

-4x + 5y

Multiply - 1/6 by the numbers in parentheses

Find the measure of the given angle.

Answers

Answer:

angles of half a circle is 90

its 90 degrees

Answer:

90°

Step-by-step explanation:

the triangle is inside a circle and  touches the circle with each vertex and one of the side of the triangle is diameter of the circle. then the triangle is right triangle

Help please and thank you (Algebra 1)

Answers

Hi ;-)

[tex](-7x^3+9x^2-3)\cdot(-2x^2-5x+6)=\\\\=14x^5+35x^4-46x^3-18x^4-45x^3+54x^2+6x^2+15x-18=\\\\=\boxed{14x^5+17x^4-91x^3+60x^2+15x-18}[/tex]

find the smallest number that should be multiplied to 3993 to make it perfect cube
[tex]cube \: and \: cube \: root \: [/tex]

Answers

Answer:

First, let us prime factorise the given number

3993 = 3×11×11×11

Check for numbers in triplets. We find that only 11 is occuring as a triplet. Hence we must eliminate the three.

So if we divide 3993 by 3, we'll get a perfect cube, that is 1331 (11³)

So, the answer is 3

Find the sum of 2√5 AND 4√3 in simplest form. Also, determine whether the result is rational or irrational and explain your answer.

Answers

Answer:

hey why you delete my answers

What is (f - g)(x)? f(x) = 3x g(x) = -3x² + 3x Write your answer as a polynomial or a rational function in simplest form.​

Answers

Answer:

3x²

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 3x - (- 3x² + 3x) ← distribute parenthesis by - 1

= 3x + 3x² - 3x ← collect like terms

= 3x²

cos5xcosx-sin5xsinx=??????????????????

Answers

Answer:

cos6x.

Step-by-step explanation:

We use the identity

cosAcosB - sinAsinB = cos(A+B)

so cos5xcosx - sin5xsinx = cos(5x + x)

= cos6x.

4 The equation 5W + 3 = 4w + 9 is modeled below. w W 1 W W 1 1 W 1 1 W W 1 1 1 What value of w makes this equation true? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. MI - SI – PSA- S-​

Answers

Answer:

w = 6.

Step-by-step explanation:

5w + 3 = 4w + 9

5w - 4w = 9 - 3

w = 6

Then, check your work!

5(6) + 3 = 4(6) + 9

30 + 3 = 24 + 9

33 = 33

So, w = 6 will be the correct answer.

Hope this helps!

6.

For which discriminant is the graph possible?

A. b2 – 4ac = 7
B. b2 – 4ac = 0
C. b2 – 4ac = –12

Answers

Answer:

A. b2 – 4ac = 7

Step-by-step explanation:

How to calculate the distance between two runners?? Ex) A finish 100m in 10.93 sec, and B finish in 10.49 sec, by how many meters did B won?? (Pls help me)

Answers

Answer:

The average speed of A is

100m ÷ 10. 93s = 9.14m/s

The average speed of B is

100m ÷ 10. 49s = 9. 53m/s

The average speed that B is faster than A is 9. 53 - 9. 14 = 0. 42m/s

The speed that B is faster than A is

0. 42m/s × 10. 49s = 4. 40m

So, B won by 4. 40m

Step-by-step explanation:

I dont get how to do this please help me
solve for the absolute value equation show your work

Answers

Step-by-step explanation:

5.

[tex] | \frac{x}{3} +{ \frac{2}{5} } | = 2[/tex]

[tex] \frac{x}{3} = \frac{6}{5} [/tex]

[tex]5x = 18[/tex]

[tex]x = \frac{18}{5} [/tex]

and

x/3=-12/5

x=-36/5

Need the awnser please

Answers

Answer:

see explanation

Step-by-step explanation:

Complementary angles sum to 90° , then

5x + 7 + 8x - 21 = 90 , that is

13x - 14 = 90 ( add 14 to both sides )

13x = 104 ( divide both sides by 13 )

x = 8

Then the measure of the angles are

5x + 7 = 5(8) + 7 = 40 + 7 = 47°

8x - 21 = 8(8) - 21 = 64 - 21 = 43°

--------------------------------------------------------

let the angle be x then its complement is (90 - x) and

x = 2(90 - x) + 21

x = 180 - 2x + 21

x = 201 - 2x ( add 2x to both sides )

3x = 201 ( divide both sides by 3 )

x = 67

The measure of the angle is 67°

A studio charges a sitting fee of 25$ plus 7$ per each portrait sheet ordered. Write an expression that can be used to find the total cost to have photographs taken. Then the cost of purchasing twelve portrait sheets.

Answers

Hi

let's call X number of photo ordered.

So total Cost  is  C(x) = 7X+ 25

Il let you calculate for X = 12 . Have fun

Determine whether the graph is the graph of a function.
Yes or no.

Answers

i'm pretty sure it is a function!
if you put a vertical line on any point of the function, it does not touch the vertical line in two different places at all! i hope this helps :)

calculate Z
z = 81
z = 30
z = 15
z = 20​
choose the only correct answer

Answers

Z = 15 ( Use Pitago’ Theorem)
Correct Answer - z=15 :)


[tex]\tt\huge\red{Please \: help \: me!}[/tex]

Answers

First find Divisor

Two zeros are -3,-2

[tex]\\ \sf\longmapsto x^2-(-3-2)+(-3)(-2)[/tex]

[tex]\\ \sf\longmapsto x^2+5x+6[/tex]

Dividend given by

[tex]\\ \sf\longmapsto x^4-x^3-16x^2+4x+48[/tex]

We know

[tex]\boxed{\sf Dividend=Divisor\times Quotient +Remainder}[/tex]

Remainder is 0

[tex]\\ \sf\longmapsto Dividend=Divisor\times Quotient[/tex]

[tex]\\ \sf\longmapsto Quotient=\dfrac{Dividend}{Divisor}[/tex]

[tex]\\ \sf\longmapsto \dfrac{x^4-x^3-16x^2+4x+48}{x^2+5x+6}[/tex]

[tex]\\ \sf\longmapsto x^2-6x+8[/tex]

Now factor

[tex]\\ \sf\longmapsto x^2-6x+8=0[/tex]

[tex]\\ \sf\longmapsto x^2-4x-2x+8=0[/tex]

[tex]\\ \sf\longmapsto x(x-4)-2(x-4)=0[/tex]

[tex]\\ \sf\longmapsto (x-4)(x-2)=0[/tex]

[tex]\\ \sf\longmapsto x-4=0\:or\:x-2=0[/tex]

[tex]\\ \sf\longmapsto x=4\:or\:x=2[/tex]

Hence all zeros are

2,-2,-3,4

Kim is making cookies. She is using a recipe that calls for 1/4 cup of lemon juice. She has a 6 fl oz. bottle of lemon juice. There are 8 fl oz. of lemon juice in 1 cup. How many batches of cookies can she make?

Answers

Answer:

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 cup = 8 fl oz

x cup = 6 fl oz                         Cross multiply

6 oz * 1 cup = 8 oz x               divide by 8

x = 6 oz /8 oz = 3/4 cup

If kim needs 1/4 cup per batch then she will have enough for 3 batches of 1/4 cup each.

At a competition with 7 runners, medals are awarded for first, second, and
third places. Each of the 3 medals is different. How many ways are there to
award the medals?
Decide if this is a permutation or a combination, and find the number of ways
to award the medals.

Answers

Answer:

35 different combinations

Step-by-step explanation:

This would be a combination because the same person cannot get all three medals so permutation is not the correct way to calculate this. We use the formula C(n,r)=(nr)=n!(r!(n−r)!)=? where n is the number of total objects and r is the number of objects taken from the total.

brainliest pls . . . uwu

Find the value of x (trig)

Answers

According to the figure:-

P=13H=25

We know that Sin∅=P/H

Hence Sinx°=13/25

[tex] { \sin}^{ - 1} \frac{25}{13} = X°[/tex]

Be brainly

Help ASAP I’ll mark you as brainlister

Answers

Answer:

the range is from 6 to -4 (both inclusive)

Step-by-step explanation:

the domain is all values of x for which the function is defined and the range is all values of y for which the function is defined hence the domain is -3 to -11 and the range is 6 to -4

order from least to greatest 4^2,√15 ,-5/2,-2 1/3,1/16

Answers

Answer:

-2 1/3, 1/16, √15, 4^2

Following order from least to greatest.

Vie sold 45 raffle ticket. his brother sold twice as many. How many tickets did the sell together?

Answers

Answer:

135 tickets

Step-by-step explanation:

Vie's brother sold twice as many as Vie. So we multiply Vie's tickets by 2 to get the brother's.

VIe's brother sold 45 * 2 = 90 tickets

And all together the two sold

45 + 90 = 135 tickets

Given that f(x) = 5(7)*, find f(4)

Answers

F(x)=20 that is the answer
Other Questions
whate are the factors for the following 64,72,36,140 Charlotte read a 608-page book in 16hours last month. How many pages per hour was that PLz help :( i will mark barinliestwhich best describes the meaning of the word theoremA. A conjecture based on inductive reasoningB. A statement that is accepted as true without proof C. a statement explaining the meaning of a geometric termD. A conclusion proved by deductive reasoning 2 1/6 x 4 1/2= and explain it present perfect tense for i stick it with glue What the picture says V36 What smallest number should be multiplied to 288 in order to make it a perfect cube? strength between particles is called I WILL MARK AS BRAINLIEST! Find the circumference and area of each circle NEED HELP ASAP What are the lengths of the x and y components of this vector? make d the subject of the formula h= d/3 + 2 Last week Zurina worked the following days and times:Day 1: 4 hours, 15 minutesDay 2: 5 hours, 0 minutesDay 3: 6 hours, 45 minutesFind Zurina's total time worked in decimal hours. (4 points)14.4515.6016.00 what is the median of the number 10 12 13 15 16 19 25? write features of Fifth Generation of computer? Explain how investment in equipment and technology can lead to economic growth. where can i find the answers? if a0 and the sum of x and 1-a is 0, then An arc 28 cm is cut from a circle of radius 15 cm. Find the angle of the sector formed by this arc. find the cost of of 1/2 litre if if 6 litres cost 7.20 what kind of transport can be based in your district how can it contribute to development