Robert needs to cut four shelves from a board that is 2.5 meters long. The second shelf is 18 centimeters longer than twice the length of the first shelf. The third shelf is 12 centimeters shorter than the first The remaining shelf centimeters longer than the first shelf. If Robert must use the entire 2 5 meter board for the shelves. what is the length of the second shelf, in centimeters?

Answers

Answer 1

Answer: 114 cm/ 1.14 m this will give you your answer.

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You can Drive your car 21.75 miles with 1 gallon of gasoline how many miles can you drive with 13.2 miles of gasoline

What is the answer to this? Justify your reasoning, please!

Answers

Answer:

the answers are

m<1 = 65

m<2=25

m<3=115

Step-by-step explanation:

first of all in the triangle

the angles are 90, 25 and an unknown(let be x)

so,

triangle=sum of all sides

180=90+25+x

180-115=x

x=65

now,

to find m<2

m<2+65=90

m<2=25

then,

to find m<1,

m<1+m<2=90(sum of 2 opp interior angle equals the exterior angle)

or, m<1+25=90

m<1=65

again

for m<3,

180(straight line) +m<2 +m<3 =360(complete turn)

180+25+m<3=360

m<3 =360-205

m<3 =155

Which radical expression is equivalent to 5^2/3?sqrt 125

^3 sqrt 5

^3 sqrt 25

sqrt 5

Answers

Answer: $\sqrt[3]{25}$ is equivalent to the given expression.

Step-by-step explanation:

Given expression, $5^(2/3)$

we can write, $5^(2/3)$ = $(5^2)^(1/3)$ (because, $a^(mn)= (a^m)^n$ )

⇒ $5^(2/3)$ = $(25)^(1/3)$

⇒ $5^(2/3)$ = $\sqrt[3]{25}$

(because,we can write, $x^(1/n)=\sqrt[n]{x}$ )

The answer is the last expression. 5^2/3 means you square the five then find the cubic root. 5 squared is equal to 25. Then you find the cubic root.

{y=2x+14
{−4x−y=4

y = ???

Answers

I hope this helps you

How else can the ratio 14:1 be written

Answers

1:14 is another way to do it

One day, a person went to a horse racing area. Instead of counting the number of humans an horses, he conuted 74 heads and 196 legs. How many humans and horses were there?A.
37 humans and 98 horses
B.
24 horses and 50 humans
C.
31 horses and 74 humans
D.
24 humans and 50 horses

99 POINTS

Answers

A human has 1 head and 2 legs.
A horse has 1 head and 4 legs.

Let's make two equations from what we know.

There were a total of 74 heads.
There were a total of 196 legs.

Let's call humans 'x' and horses 'y'

The total number of heads were 74.
Humans have 1 head, and so do horses.

Our first equation is:
x + y = 74

There were a total of 196 legs.
Humans have 2 legs, and horses have 4 legs.

Our second equation is:
2x + 4y = 196

Our two equations are:

x + y = 74
2x + 4y = 196

We need to solve this system of equations to find out how many humans and horses were at this racing event.

Multiply the first equation by 2.

2(x + y) = 2(74)
2x + 2y = 148

Our two equations are:

2x + 2y = 148
2x + 4y = 196

Subtract the first equation from the second equation.

2x - 2x + 2y - 4y = 148 - 196
2y - 4y = 148 - 196
-2y = - 48

Divide both sides by -2

y = 24

That means that there were 24 horses.

We can plug back in y = 24 into our first equation to find out how many humans there were.

x + y = 74
x + 24 = 74
x + 24 - 24 = 74 - 24
x = 50

There were 50 humans.

At the horse racing event, there were 24 horses and 50 humans.

Your final answer is B. 24 horses and 50 humans.

50 +24 =74 heads 50 x 2 = 100 human legs 4 x 24 = 96 horse legs 100 + 96 =196 legs total. So b will be your final answer.

Functions f(x) and g(x) are shown below.f(x) = x^2
g(x) = x^2 8x 16
In which direction and by how many units should f(x) be shifted to obtain g(x)?

Answers

We can factor g(x) as $(x+4)^2$ . Clearly, g(x) is simply f(x+4), so f(x) should increase each x by 4 to achieve the same result as g(x). Therefore, f(x) should be shifted 4 units in the positive-x (or right) direction.

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Solve, using the substitution method.2x + 4y = 16x – 7 = – 4y

I don't know what is the factor of 13

11.68 - 0.48 ÷ (-1.6) =

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