A board 91 cm long is to be cut into two parts so that the longer part is 10 cm more than twice as long as the shorter part. Find the length of each part.

Answers

Answer 1

Answer:

The parts are 27 cm and 64 cm long.

Step-by-step explanation:

Let the shorter part be x.

"The longer part is 10 cm more than twice as long as the shorter part."

shorter part: x

longer part: 2x + 10

total length: x + 2x + 10

total length: 91

x + 2x + 10 = 91

3x + 10 = 91

3x = 81

x = 27

2x + 10 = 2(27) + 10 = 54 + 10 = 64

Answer: The parts are 27 cm and 64 cm long.


Related Questions

Please answer all questions step by step PLEASE HELPP!!!! I'LL MARK YOU AS BRAINLIEST

Answers

I think your teacher's just asking for the multiplied out version, so there's no work to do

3. -2(3m + 9) = -6m - 11

4. -6(z-1) = -6z + 6

5. -(m +1) = -m - 1

6.  -(x+4) = x = 4

7.  b(a- 6) = ab - 6b

8. 7a(3b -2c + 4) = 21ab - 14ac +28a

9. 1/2(8x + 2) = 4x + 1

10. 2/3(1/4x -6) = 1/6x - 4

Answer:

3. -2(3m + 9) = -6m - 11

4. -6(z-1) = -6z + 6

5. -(m +1) = -m - 1

6.  -(x+4) = x = 4

7.  b(a- 6) = ab - 6b

8. 7a(3b -2c + 4) = 21ab - 14ac +28a

9. 1/2(8x + 2) = 4x + 1

10. 2/3(1/4x -6) = 1/6x - 4

Step-by-step explanation:

Solve the following problem. My bank account balance was $7676 and i withdrew amounts of $1369, $2618, and $937. What is my balance now?!??!

Answers

$7676 - $1369 = $6307
$6307 - $2618 = $3689
$3689 - $937 = $2752
There is $2,752 left in the bank account.

in the himalaya mountains allong the border of tibet and nepal mount everest reaches a record height of 29,035 feet. How high is mount everest in miles? In kilometers? In meters?
ASK YOUR QUESTION

Answers

Answer:

Step-by-step explanation:

In miles it is 29,035 / 5280

= 5.5 miles.

In kilometers it is 5.5 / 0.621 kilometres

= 8.857 km.

= 8857 m.

Answer:

In miles it is 29,035 / 5280= 5.5 miles I umm belive

Step-by-step explanation:

Flavio is driving along a highway at a speed of 30 meters per second. If Flavio drives for 2 hours at this speed, how many miles
will he travel? Round to the nearest whole number. (1 point)

A.60
B.134
C.67
D.37

Answers

Answer:A.60

Step-by-step explanation:

Answer:

b.134

Step-by-step explanation:

1609 meters in every mile

30x60=1800 meters in one minute

1800x60=108,000 meters every hour

108,000x2=216,000 divide that by 1609 .216,000 divided by 1609=134.2449

Don elias es un agricultor de papas y va a vender sus productos a las bodegas de la central de abastos de su ciudad.Al preguntar el precio por kilo de la papa le informan que estaba a 18.30 pesos si en su camioneta lleva 2,675 kg ¿Cuanto dinero recibe por su venta?

Answers

Answer:

48,952.5 pesos

Step-by-step explanation:

Aquí en esta pregunta queremos calcular el monto a pagar por una mercancía, dado que se paga una cierta cantidad por kg de mercancía.

En la pregunta se nos dice que por kg de papa se paga 18.30 pesos Ahora, en el camión, hay 2.675 kg de patatas El monto a pagar por esto será;

la cantidad por kilogramo * número de kilogramos de patatas

= 18.30 * 2675 = 48,952.5 pesos

Can someone plz help ☹️☹️☹️

Answers

Answer:

35

Step-by-step explanation:

x=3x-70

because corresponding angles are congruent

Solve the equation to find x.

26 divided by 5 1/2 I dont know!!

Answers

Answer:

4.727

Step-by-step explanation:

An easy way to think of something being divided by a fraction is by turning the fraction into a decimal. In this case, it's 5 1/2, which is the same as 5.5. So, you can just calculate 26 / 5.5, by hand, or on a calculator, and the answer is 4.727.

Hope this helps!

Hey there!☺

[tex]Answer:\boxed{4\frac{8}{11}}[/tex]

[tex]Explanation:[/tex]

[tex]26/5\frac{1}{2}[/tex]

Divide both fractions.

[tex]26/5\frac{1}{2}=\frac{52}{11}[/tex]

52/11 needs to be simplified so let's simplify it.

[tex]\frac{52}{11}=4\frac{8}{11}[/tex]

[tex]4\frac{8}{11}[/tex] is our final answer.

Hope this helps!

A square has a side length of 9 cm2 what is the area

Answers

Answer: 81 cm^2

Steps:

A = l x w
A = 9 x 9
A = 81

the cost split among 4 people

Answers

Answer:1 dollar each

Step-by-step explanation:

In a classroom, there are 12 boys and 6 girls. The teacher needs one student to take a note to the
office. What is the probability the teacher randomly picks a girl? Write your answer as a reduced fractior

Answers

Answer:

1/3

Step-by-step explanation:

There are 12 boys and 6 girls, meaning there are 18 students. The girls are 1/3 out of those 18.

HURRRYYYYYYY!! WILL GIVE BRAINLIEST

Find the solution set for the open sentence with the given replacement set. w2+16=8w, {0, 2, 4, 8} 0 2 4 8

Answers

Answer:

It’s 4

Step-by-step explanation:

X = 18 is a solution to this equation X + 79 = 98 Question 4 options: True False

Answers

X+79=98 (subtract 79 to isolate x)
X=19 so it is false

Answer:

false

Step-by-step explanation:

what is 3n + 12? im so confused

Answers

3(n+4) should be it
It's an nth term for a sequence
So
I'm not really good at explaining but basically
3n means the three times table
And then to each number you add 12
So
3,6,9,12,15
(+12)
So your final answer is:
15,18,21,24

(14): Rounding.
3. What is 2,458 rounded to the nearest hundred?
0 3,000
0 2,500
2,400
0 2,000

Answers

Answer:2.500

Step-by-step explanation:

when rounding up to the nearest hundred you look at the tenths, if the tenths is 50 and above, you round up, when 49 and below, you round down.

PLEASE HELP FAST! I'll mark as brainliest

4 4 4 4 = 2
4 4 4 4 = 3
4 4 4 4 = 4
4 4 4 4 = 5
4 4 4 4 = 6
Using only the given operations, make each equation true.
Operations: +, -, , , !, %, ^

Answers

Answer:

It is easy you just add all of the up and the answer will give you 20 so your answer will be 20

Step-by-step explanation:

ad 2+3+4+5+6 = 20

Answer:

It is easy you just add all of the up and the answer will give you 20 so your answer will be 20

Step-by-step explanation:

ad 2+3+4+5+6=20

20 is your answer

HOPE THIS HELPS YOU!


A rain gutter is made from aluminum sheets that
28 cm wide. The first step in forming a rain gutter is to lift the edges of the aluminum sheet to form right angles, as show in in the illustration below. The cross-section
area formed by the raised edges affects the water flow. This cross-section area, A, can be represented by the function A = x(28-2x) where x
represents the height of the raised edges.
1. To the nearest centimetre, determine the height of the raised edge, x cm, which will maximize the
transverse area.

Answers

Answer:

               7 cm

Step-by-step explanation:

For any quadratic function f(x)=ax²+bx+c given in form f(x)=a(x-h)²+k, where:

h=-b/2a  and k=f(h) the point (h, k) is vertex of the function graph.

It means that k is maximum (if a<0) or minimum (if a>0) value of function and x=h is the x which will maximize function.

A(x) = x(28-2x) = 28x - 2x² = - 2x² + 28x ⇒ a = -2 , b = 28

h = -28/[2•(-2)] = 7

A landscaping company is laying a triangular flower bed. The height of the trangle is 15ft. What lengths of the base will make the area at least 210ft squared?

Answers

Answer:

28 ft

Step-by-step explanation:

The height of the triangle = 15 ft

The least required area A = 210 ft^2

We know that the area of a triangle = 1/2bh

Where

b is the base

h is the height

Substituting, we have

210 = 1/2 x b x 15

210 = 15/2 x b

420/15 = b

b = 28 ft

If p(x) = 5(22 +1) + 16, what is the value of p(11)? O A. 690 O B. 736 O C. 622 O D. 626​

Answers

Answer: 626

Step-by-step explanation:

The midpoint of AB is at ( − 5 , 2 ). If A = ( 10 , − 3 ), find B.

Answers

Answer:

work is attached and shown

order fruits from least to greatest according to the unit prices 0.84, 2.25, 1.17

Answers

Answer:

0.84, 1.17, 2.25

Step-by-step explanation:

Answer:

.84, 1.17, 2.25

Step-by-step explanation:

You can answer this on your own by finding which numbers are farther away from zero. So the farther you get from zero, the more you have.

Can someone help me, please and thank you? I'll give BRAINLEST to the person who gets it right!!!

Answers

Answer:

         n = 12

Step-by-step explanation:

     -8 = 16 - 2n

2n -8 = 16 -2n + 2n    (both side add 2n)

2n -8 + 8= 16 +8         (both side add 8)

          2n = 24

            n = 12

What is 7 9/27 in simplest form

Answers

Answer:

7 1/3

Step-by-step explanation:

the 7 stays but 9/27 can be simplified into 1/3 because you divide both 9 and 27 by 9

I'd love some help on this question. I do not understand how you would go about working this out, so please explain the working out. Thank you!!!​

Answers

Area = length x width and volume = length x width x height soo you would have to multiple 4 and 25 and that’s 100

Find the value of x in each case:

Answers

Answer:

2x = 36°

8x = 144°

Step-by-step explanation:

8x + 2x = 180°

10x = 180°

x = 180/10

x = 18

then:

2x = 2*18 = 36°

8x = 18*8 = 144°

The value of x from the given diagram is 18. then each angle will be 2x = 36° and 8x = 144°

What is linear equation?

Linear equation is equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c

Linear equation with two variables, when graphed on cartesian plane with axes of those variables, give a straight line.

Also, the triangle ACD, the sum of the interior angle of the triangle is 180 degrees;

8x + 2x = 180°

10x = 180°

x = 180/10

x = 18

Then:

2x = 2*18 = 36°

8x = 18*8 = 144°

Hence the value of x from the given diagram is 18.

Learn more about linear equations here:

https://brainly.com/question/27465710

#SPJ2

Find the distance between the points L(7,-1) and MC (– 2, 4).
The exact distance between the two points is

Answers

Answer:

d= 10.30

Step-by-step explanation:

Using distance formula:

d=√(-2-7)² + (4--1)²

d=√(-9)² + (5)²

d=√81 + 25

d=√106

d≈ 10.296

Answer:

Step-by-step explanation: not right

Assuming the angle below is drawn to scale, which of the following could be the measure of 2XYZ? A. 120° B. 90 C. 180° O D. 30°​

Answers

Answer:

Option (A)

Step-by-step explanation:

Given angle in the picture is neither a right angle (equal to 90°) nor obtuse angle (greater than 90°).

It's an acute angle which measures less than 90°.

Therefore, possible measure of the given acute ∠XYZ = 30°

Option (A) will be the answer.

help dont understand like its confusing one minute u add then substract like...

Answers

Answer:

53 degrees

Step-by-step explanation:

< will be angle UwU (using pc)

m<JKM = 151 degrees is the total angle combining m<1 and M<2

therefore, we subtract m<2 from m<JKM to find m<1

Here is the equation:

m<JKM = m<1 + m<2

151 = m<1 + 98 (substitute)

53 = m<1 (simplify the like term so we subtracted 98 on both sides)

hope this helps!

Someone help !! These are Absolute values & integers !!

Answers

Answer:

4,9,12,24,5,5,1,11,9,9

Step-by-step explanation:

those are the anwsers, in order

see if you solve this types of sum firstly you understand it ok

+ × += +

+ × -= -

- × - =+

ok

like 2 +[-3]

ok + × - = -

ok

like you subtract it 2+ [-3]

2-3 = 1

Any number to the power of zero is always?​

Answers

Answer:

In short, the multiplicative identity is the number 1, because for any other number x, 1*x = x. So, the reason that any number to the zero power is one is because any number to the zero power is just the product of no numbers at all, which is the multiplicative identity,

Answer: Any number to the power of zero would be 1

If m/n = 3, what does 2n/m equal?

Answers

(Hard) A composite number n is called a Carmichael number bn−1 ≡ 1 (mod n) for every number b such ... Base case: When n = 2 the formula a + c ≡ b + d (mod m) was already given. ... The sequence goes 1, 3, 7, 15, 31,... guess that it is equal to 2n+1 − 1. ... Prove (now using induction on n) that fm|fmn for all n ≥ 1.

Answer:

That would be n[tex]\geq 1\\[/tex]

Step-by-step explanation:

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