A 115​-inch board is cut into two pieces. One piece is four times the length of the other. Find the length of the shorter piece.

Answers

Answer 1

4x + x = 150, x=30 (shorter piece)

5x=150

x=150/5 = 30

4x=120

x=30

total = 150


Related Questions

Find the perimeter.
Write your answer as a fraction, whole number, or mixed number

Answers

Answer:

Well, first you'll have to do P (perimeter) = 2(a + b)

So: P= 2(68/15 + 32/5)*

P = 2(68/15 + 96/15)

P = 2(164/15)

Then, do the equation:

328/15

Hopefully, this helps! If it doesn't, tell me what I need to provide in my answer so I can answer your question :)

*There the mixed numbers of the two angles

Answer:

[tex]{ \tt{perimeter = s_{1} + s _{2} + ....... + s _{n} }}[/tex]

» We're given a parallelogram with for sides, so n = 4

[tex]{ \tt{perimeter = 4 \frac{8}{15} + 6 \frac{2}{5} + 4 \frac{8}{15} + 6 \frac{2}{5} }} \\ \\ = { \tt{(4 \frac{8}{15} + 4 \frac{8}{15} ) + (6 \frac{2}{5} + 6 \frac{2}{5}) }} \\ \\ = { \tt{2(4 \frac{8}{15} + 6 \frac{2}{5}) }} \\ \\ = { \tt{2( \frac{68}{15} + \frac{32}{5}) }} \\ \\ { \tt{ = 2 \times \frac{164}{15} }} \\ \\ = { \tt{ \frac{328}{15} }} \\ \\ { \boxed{ \tt{ \: perimeter = { \blue{\frac{328}{15}}} \: \: or \: \:{ \blue{ 21 \frac{13}{15}}} \: \: or \: \: { \blue{ \tt{22}}} \: \: or \: \: { \blue{21.8667}} }}}[/tex]

Which inequality represents this sentence?

Eight times three is less than or equal to ten times five.


8 • 3 ≤ 10 • 5


8 • 3 ≥ 10 • 5


8 • 3 < 10 • 5


8 • 3 > 10 • 5

Answers

The inequality which is represented by the sentence is 8 • 3 ≤

10 • 5.

What is Inequality?

This is referred to as relationships between two expressions

which are not equal to one another. It is usually represented by

signs such as:

< which is less than> which is greater than≤ which is less than or equal to≥ which is greater than or equal to.

In this scenario, Eight times three is less than or equal to ten

times five is represented as 8 • 3 ≤ 10 • 5 thereby making option

A the most appropriate option.

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What is 204 divided by 4

Answers

Answer:

51

Step-by-step explanation:

Answer:

51

Step-by-step explanation:

STRT WITH 2 IT WILL GIVE YOU 102/2

AGAIN2 51

Show your work in order to receive full credit. Find the solution to the system.
x=10
y=2x-4

Answers

Answer:

x=10  y=16

Step-by-step explanation:

y=2(10)-4

y=16

Answer:

y = 16 this is your correct answer

3 1/2x + 215 =495 how do you get 80 as x

Answers

Answer:

3 1/2x + 215=495

495-215=280

3 1/2 ÷280

x=80

if this helps

Answer + explanation:

[tex]3\frac{1}{2} x +215=495[/tex]

Minus 215 on both sides

[tex]3\frac{1}{2}x = 280[/tex]

Divide both sides by [tex]3\frac{1}{2}[/tex] to isolate x

280/3.5 = 80

x = 80

Hope this helps :)

Have an awesome day!

describe the values of c for which the equation has no solution. explain your reasoning.

|x-7|=c ​

Answers

Answer:

c=|x-7|

Step-by-step explanation:

The values of "c" for which the equation |x - 7| = c has no solution are any values of "c" that are less than or equal to zero.

The equation |x - 7| = c represents the absolute value of the difference between x and 7, which is equal to the constant "c."

For an absolute value equation like this, there are two cases to consider:

When (x - 7) is nonnegative (or zero): In this case, the absolute value of (x - 7) is just (x - 7) itself. So the equation becomes:

x - 7 = c

When (x - 7) is negative: In this case, the absolute value of (x - 7) is the negative of (x - 7). So the equation becomes:

-(x - 7) = c

-x + 7 = c

Now let's analyze these cases to determine the values of "c" for which the equation has no solution:

Case 1: x - 7 = c

If "c" is positive, then we can solve for "x":

x = c + 7

This solution is valid for all values of "c" because it provides a real solution for any positive "c."

Case 2: -x + 7 = c

If "c" is positive, we can solve for "x":

x = 7 - c

This solution is valid for all values of "c" because it provides a real solution for any positive "c." positive value of "c" will have a valid solution. However, if "c" is negative or zero, then there is no real value of "x" that satisfies the equation. This is because the absolute value of a real number is always nonnegative, so if "c" is negative or zero, there is no real value of "x" that can make |x - 7| equal to a negative or zero "c."

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Michel read 18 books this was 4 books than twice the number of books that Jeff read how many books did Jeff read

Answers

Answer:Jeff read 11 books I believe

Step-by-step explanation:hope this helps

Find the 70th term of the arithmetic sequence -26, -19, -12, ..

Answers

Answer:

457

Step-by-step explanation:

the difference is +7

nth=a+(n-1)da=-26,d=7,n=70-26+(70-1)×7-26+69×7-26+483=457

the 70th term is 457

jill also got the expression 7x+1 and then wrote her answer 1xt7 is her expression an equivalent expression how do you know?

Answers

Answer:

No

Step-by-step explanation:

7x+1 means 7 x X + 1

1xt7 means 1 x X x T x 7

so they are different

If the area of a triangle is 12.15 and the height is 4.5 what is the base?

Answers

5.4

To find the area of a triangle, the formula is base times height times 1/2. You are just going in reverse. So 12.15 times 2 is 24.3. Divided by 4.5 is 5.4.

i need help. how do you do this?

Answers

It’s the third option

Explanation

3m is greater than or equal to 21

So on a number line a closed circle means greater than or equal to and since it’s greater than your arrow would be pointing to the right (numbers going up)

Answer:

option 3 or c same thing

Step-by-step explanation:

OMG I just did this here

In the figure below, N lies between M and P.

Find the location of N so that the ratio of MN to NP is 4 to 5 .

Answers

[tex] \frac{MN}{NP} = \frac{4}{5} \\ [/tex]

[tex]MP = 26 - 8[/tex]

[tex]MP = 18[/tex]

[tex]MP \div (4 + 5) = 18 \div (4 + 5)[/tex]

[tex] \frac{MP}{9} = \frac{18}{9} \\ [/tex]

[tex] \frac{MP}{9} = 2 \\ [/tex]

Thus;

[tex]MN = 2 \times 4[/tex]

[tex]MN = 8[/tex]

and

[tex]NP = 2 \times 5[/tex]

[tex]NP = 10[/tex]

So the location of N is :

[tex]N = 8 + 8 \: \: or \: \: N = 26 - 10[/tex]

[tex]N = 16[/tex]

Find two numbers whose difference is 8 but whose average is 13.

Answers

Answer:

9 and 17

Step-by-step explanation:

Let the two numbers by x and y.

We are told that x - y = 8

And we learn that (x+y)/2 = 13

Rearrange the first equation to isolate x (or y):

x - y = 8

x = 8+y

Use this expression for x in the second equation:

(x+y)/2 = 13

((8+y)+y)/2 = 13

Solve for y:

(2y+8)/2 = 13

y + 4 = 13

y = 9

If y = 9, x is:

x - y = 8

x - (9) = 8

x = 17

The difference between 17 and 9 is 8

The average is (9+17)/2 =  13                                                                                                                                                                                                          

Answer:

9 and 17

Step-by-step explanation:

let x and y be the 2 numbers , x > y , then

x - y = 8 → (1)

[tex]\frac{x+y}{2}[/tex] = 13 ( multiply both sides by 2 )

x + y = 26 → (2)

add both equations term by term to eliminate y

2x + 0 = 34

2x = 34 ( divide both sides by 2 )

x = 17

substitute x = 17 into (1) and solve for y

17 - y = 8 ( subtract 17 from both sides )

- y = - 9 ( multiply both sides by - 1 )

y = 9

The 2 numbers are 9 and 17

Use<, >, or = to compare the following decimals.


(a) 1.97 O 8.32
(b) 0.51 0.12
(c) 8.4 I 8.01

Answers

Answer:

these are the answers.

A is <

B is >

C is >

The minute hand on a clock is 6 inches long. Between 1:15 p.m. and 1:40 p.m., the minute hand travels along an arc subtended by an angle of 150°. Approximately how many inches does the tip of the minute hand travel along the arc during that time? A. 7.85 inches B. 47.12 inches C. 15.71 inches D. 21.99 inches

Answers

Answer:

C

Step-by-step explanation:

ive done this before pls give brainliest

The tip of the minute hand traveled along the arc during that time by 15.71 inches. We have given that, the minute hand on a clock is 6 inches long. Between 1:15 p.m. and 1:40 p.m., the minute hand travels along an arc subtended by an angle of 150°. Hence option C. is correct.

We have to determine how many inches the tip of the minute hand travel along the arc during that time.

What is the angle?

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle. The tip of the minute hand traveled along the arc during that time by 15.71 inches.

Therefore, option C. 15.71 inches is correct for the tip of the minute hand travel along the arc during that time which is between 1.15 p.m. and 1:40 p.m..

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y = -2x - 5
6x + 3y = -15

Answers

Answer:

Infinite solutions

Step-by-step explanation:

Substitute -2x - 5 for y in 6x + 3y = -15

[tex]6x + 3 (-2x-5)=-15[/tex] [tex]6x + (3)(-2x)+(3)(-5) = -15[/tex] (simplify both sides of the equation[tex]6x -6x-15 =-15[/tex] [tex]-15 = -15[/tex] [tex]-15 + 15 = -15 + 15[/tex] (add 15 to both sides)[tex]0 = 0[/tex]

Therefore, the answer is infinite solutions.

* 70% had the cold lunch prepared by Mr. Femi

*15 had sandwiches from the deli How many students are in kindergarten?
(Hint: You need to make two calculations to solve this problem)

Answers

Answer:

Step-by-step explanation  i dont know what it is cuz im not in ur class

so figure it out

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT

Answers

Answer:

∠1 = 28°

Step-by-step explanation:

A rhombus is a quadrilateral with four sides of equal length.The sum of the interior angles of a quadrilateral (rhombus) = 360°The opposite interior angles of rhombuses are congruent (the same).Diagonals cut each interior angle equally.  So in the diagram, ∠1 = ∠2  and ∠3 = ∠4   therefore, ∠1 = ∠2 = ∠3 = ∠4

Therefore, to calculate ∠1 subtract 124° twice from 360° then divide the answer by 4:

∠1 = [360 - (124 x 2)] ÷4

    = [(360 - 248) ÷ 4]

    = 112 ÷ 4

    = 28°

What value of "x" makes the equation below true?

–2(1 – 5z) = 4 – 4(-2z)

Answers

Answer:

1. Name the quadrant, if any, in which each point is located.

(a) (-3, 6)

(b) (7, -5)

Solution:

(a) (-3, 6) --------- II Quadrant.

(b) (7, -5) --------- IV Quadrant.

(please make me brainliest)

Kim rode her bike 135 miles in 9 weeks riding the same distance each week and Eric rode 102 miles in 6 weeks with the same distance every week which statement correctly show a comparison

Answers

The correct answer is a, because Kim rode15 miles per week, and Eric rode 17 per week

plz plz plz need help for assignment

Answers

Answer:

[tex] \dfrac{2(x - 2)}{x + 5} [/tex]

Step-by-step explanation:

[tex] \dfrac{12(x - 2)^2}{6(x - 2)(x + 5)} = [/tex]

[tex] = \dfrac{2(x - 2)}{x + 5} [/tex]

Steven is playing an online video game
At the beginning of his turn, he has a
score of -150 points. At the end of
his turn, he has –50 points. How man
points did Steven gain or lose durians
his turn?

Answers

Steven gained 100 points.

To calculate the gain or lose of any 2 numbers, always do

Final - Initial

So,

-50 - -150

Is like saying

I have negative 50, and I take away negative 150.

Taking away negative numbers is just addition.

-50 + 150 = 100


Which of the following figures has a triangle as its base?
O A. Rectangle
OB. Rectangular prism
O C. Cube
ОО
D. Triangular prism

Answers

I don’t see it here but it’s triangular pyramid.

Check the picture below.

Enter your answer as: m,n

Answers

Answer:

m = 2

n = 4

Step-by-step explanation:

if the two triangles are congruent then:

5m + 1 = 11  and  8m - 2n = 2m + n

Solving 5m + 1 = 11 to find m:

Subtract 1 from both sides:  5m = 10

Divide both sides by 5:           m = 2

Now substitute found value for m into 8m - 2n = 2m + n  and solve for n:

8(2) - 2n = 2(2) + n

  16 - 2n = 4 + n

         12 = 3n

          4 = n

The ratio of two numbers is 23. The sum of the numbers is 105.

What are the two numbers?


42 and 63


44 and 66


44 and 61


35 and 70

Answers

Answer:

42 and 63

Step-by-step explanation:

We have two numbers that

[tex]x + y = 105[/tex]

and

that

[tex] \frac{2}{3} y = x[/tex]

Subsitue

[tex] \frac{2}{3} y + y = 105[/tex]

[tex] \frac{5}{3} y = 105[/tex]

[tex]y = 63[/tex]

So plug that back in to first equation so we get

[tex]x + 6 3 = 105[/tex]

[tex]x = 42[/tex]

42 and 63 are the numbers.

Answer: I believe the answer is 42 and 63, but i am not sure if it is accurate.

HELP ME PLS.

what is the value of y?

Answers

Answer:

y=6

Step-by-step explanation:

Since this is a rhombus, the 4 triangles must have the same base and height. They are also all right triangles, and we are given the hypotenuse (x+5) and (2x). They each must be equal, so we can form the equation x+5=2x to solve for one of them:x=5. So one of the legs is y, the other is 8, and the hypotenuse is 5+5=10. We can use the pythagorean theorem to solve: y^2+8^2=10^2.

y^2+64=100

y^2=100-64=36.

y=6.

In how many ways can 3 novels, 2 mathematics books, and 1 chemistry book be arranged on a bookshelf if

Answers

The 3 novels should be arranged in one side of the shelf.
The 2 mathematics books should be arranged in the other side of the shelf.
The 1 chemistry book should be arranged with the mathematics shelf because they are both study topics

HELPPPPPPPPPPPPPPPPPPPPP

Answers

It is the picture down below

Answer:

Step-by-step explanation:

9+ (3 x 5) + [14 - (8 + 2)]

Answers

Answer:

28

Step-by-step explanation:

9+15+[14-10]

9+15+4

24+4

28


When you add the same signs, find the ____ and ____ .

Answers

Answer:    the absolute values and give the answer the same sign

Step-by-step explanation:

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