All categories

3 years ago

4 times a certain number less two times that's the same number is 10 what is the number

Mathematics

1 answer:

maxonik [38]3 years ago

5 0

Answer:

The number is 5

Step-by-step explanation:

Let the number be x,

Four times the number= 4x

two times the same number= 2x

So we have ,

4x – 2x = 10

2x = 10

x = 5

Therefore the number is 5

You might be interested in

Find the length of the third side. If necessary, round to the nearest tenth. 5 10

snow_lady [41]

Answer:

$\boxed {\boxed {\sf 8.7}}$

Step-by-step explanation:

We are asked to find the length of the third side in a triangle, given the other 2 sides.

Since this is a right triangle (note the small square in the corner of the triangle representing a 90 degree /right angle), we can use the Pythagorean Theorem.

$a^2 + b^2 =c^2$

In this theorem, a and b are the legs of the triangle and c is the hypotenuse.

We know that the unknown side (we can say it is a) and the side measuring 5 are the legs because they form the right angle. The side measuring 10 is the hypotenuse because it is opposite the right angle.

b= 5
c= 10

Substitute the values into the formula.

$a^2 + (5)^2 = (10)^2$

Solve the exponents.

(5)²= 5*5 = 25
(10)²= 10*10= 100

$a^2 + 25=100$

We are solving for a, so we must isolate the variable. 25 is being added to a. The inverse operation of addition is subtraction, so we subtract 25 from both sides.

$a^2 +25-25=100-25$

$a^2=100-25$

$a^2 = 75$

a is being squared. The inverse of a square is the square root, so we take the square root of both sides.

$\sqrt {a^2}= \sqrt{75}$

$a= \sqrt{75}$

$a= 8.660254038$

Round to the nearest tenth. The 6 in the hundredth place tells us to round the 6 up to a 7 in the tenth place.

$a \approx 8.7$

The length of the third side is approximately 8.7

4 0

3 years ago

Read 2 more answers

89,678 to the nearest hundred

inna [77]

Answer:

89,700

Step-by-step explanation:

4 0

3 years ago

Which graph best represents the following equation Y+4=|x+2|

oksian1 [2.3K]

The first one as when |x+2| the graph would be from x=-2 "shifting left by 2" and then we subtract 4 from both sides so Y=|x+2|-4 and this accounts for shifting the graph four units down.

8 0

4 years ago

Solve the system of equations using the substitution method. Make sure to check your solution.

BigorU [14]

Answer: x-coordinate: 4

y-coordinate: -2

Step-by-step explanation:

The given system of linear equations:

y= x- 6 ..(i)

5x+3y = 14 ...(ii)

Substitute value of y in (ii), we get

$5x +3(x-6)=14\\\\\Rightarrow\ 5x+3x-18=14\\\\\Rightarrow \ 8x=14+18\\\\\Rightarrow\ 8x=32\\\\\Rightarrow\ x=4$