What is 10and 1/9 +7and5/6

Answers

Answer 1

Answer: Hey there!

First, let's add the whole numbers . . .

10 + 7 = 17

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Finding the LCD ...

1/9 = 2/18

5/6 = 15/18

2 + 15 = 17

(If both denominators are the same, then they stay the same in the total fraction)

= 17/18

17 + 17/18 = 17 17/18 ←

The correct answer is 17 17/18

10 1/9 + 7 5/6 = 17 17/18

I hope this helps you.
Have a great day! :)

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Suppose the lengths of two sides of a right triangle are represented by 2x and 3 (x + 1), and the longest side is 17 units. Find the value of x.

Answers

Answer:

x=4

Step-by-step explanation:

Step 1:-

given the lengths of two sides of a right angle are represented by 2x and 3(x+1) and longest side is 17 units.

AB = 2x and BC = 3(x+1) and longest side AC= 17

by using Pythagoras theorem

$AC^2 = AB^2 + BC^2$

step 2:-

The hypotenuse is longest side is AC = 17 units

(17)^2 = 4x^2 +9(X+1)^2

on simplification, we will use formula

$(a + b)^2 = a^2 +2ab+b^2$

289 = 4x^2 +9(x^2+2x+1)

$13x^2 +18x-280 = 0$

finding factors 70 X 52 = 3640

$13x^2 +70x-52x-280 = 0$

$13x^2 -52x+ 70x-280 = 0$

Taking common , we get

13x(x-4)+70(x-4)=0

x-4=0 and 13x+70=0

x=4 and $13x =-70$

x=4 and $x=(-70)/(13)$

we can not choose negative value so x value is 4

Final answer:- x = 4

verification:-

$AC^2 = AB^2 + BC^2$

289 = 4(4)^2+9(4+1)^2

289 = 64 +9(25)

289=289

Answer:

x = 4

Step-by-step explanation:

The length of two legs of a right angle triangle are 2x and 3(x+1).

The length of longest side is 17 units. It means measure of hypotenuse is 17 units.

According to the pythagoras theorem,

$leg_1^2+leg_2^2=hypotenuse^2$

$(2x)^2+(3(x+1))^2=(17)^2$

$4x^2+9(x^2+2x+1)=289$

$4x^2+9x^2+18x+9=289$

$13x^2+18x-280=0$

On splitting the middle terms we get

$13x^2+70x-52x-280=0$

$x(13x+70)-4(13x+70)=0$

$(13x+70)(x-4)=0$

Using zero product property we get

$13x+70=0\Rightarrow x=-(70)/(13)$

$x-4=0\Rightarrow x=4$

The value of x can not be a negaive number, because for negative value of x the value of 2x is negative and side can not be negative.

Therefore, the value of x is 4.

Write 36.14 in expanded form

Answers

The correct answer is:

30 + 6 + 0.1 + 0.04.

Explanation:

We write numbers in expanded form using place value.

3 is in the tens place; this makes its value 30.

6 is in the ones place; this makes its value 6.

1 is in the tenths place; this makes its value 0.1.

4 is in the hundredths place; this makes its value 0.04.

Together we find the sum:

30 + 6 + 0.1 + 0.04.

we can write 36.14 in an expanded form as:
36.14 = (3 x 10) + (6 x 1) + (1/10) + (4/100)
and the expanded form with decimals is:
36.14 = 30+6+0.1+0.04

use mental math to find the value of 15/124 times 230/30 divided by 230/124

Answers

the answer is 8 times 8 divided by 2 equal 2

When building a house, the number of days required to build varies inversely with with the number of workers. One house was built in 76 days by 10 workers. How many days would it take to build a similar house with 20 workers?

Answers

Answer:

152 days

The drawing will help

Final answer:

By using the principles of inverse variation, it is determined that it would take 20 workers 38 days to build a similar house.

Explanation:

The problem is an example of inverse variation, where the amount of time (days) to build a house decreases if the number of workers increases. In this specific scenario, one house was built in 76 days by 10 workers. We can represent the inverse variation relationship with the equation: days * workers = constant.

Using the given data, the constant can be calculated by multiplying the days by the number of workers, hence:

constant = 76 days * 10 workers = 760

To find the number of days it would take for 20 workers to build the house, we divide the constant by the number of workers:

days = constant / workers = 760 / 20 = 38 days

This means that it would take 20 workers 38 days to build a similar house.

Learn more about Inverse Variation here:

brainly.com/question/26149612

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12 posters for 36 students ; 21 posters for 63 students

Answers

3 posters per student

On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 1) and (3, 0). Everything above and to the left of the line is shaded.Which linear inequality is represented by the graph?

y ≤ One-thirdx − 1
y ≥ One-thirdx − 1
y < 3x − 1
y > 3x − 1