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Gekata [30.6K]
3 years ago
5

Round 9.77 to the nearest tenth

Mathematics
2 answers:
12345 [234]3 years ago
6 0

Answer: 9.8

Step-by-step explanation:

The tenth is the first number afther the decimal point.

The rules for rounding are: If the number after (in this case the second number afther the decimal point)it is 5 or bigger, we round up (adding 1) if the number after it is less than 5, the we round down, and leave the number as it is:

The number that we have is 9.77

The first number afther the decimal place is a 7, and the number after it is aso a 7, so we need to round up to 8 ( 7 + 1 = 8)

Then the rounded number is

9.8

djyliett [7]3 years ago
3 0
9.77 to the nearest tenths

first, find the number that is in the tenths place....it is 7....now look at the number directly to the right of it....if that number is 5 or greater, u would round that 7 up to an 8...but if that number is 4 or below, ur 7 would stay the same.
So the number directly to the right of 7 is 7...and since it is greater then 5, u have to round the 7 in the tenths place up to 8.

solution is : 9.8
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Four students about to purchase concert tickets for $20.00 for each ticket discover that they may purchase a block of 5 tickets
CaHeK987 [17]

Answer:

Each student's contribution = $17

Each student will save $ 3

Step-by-step explanation:

Cost of the block of 5 tickets is $85.00.

Dividing the $ 85 by 5 would give the equal amount each would have to contribute.

$ 85/5=$ 17

Each will have to pay $ 17 to buy a block of 5 tickets for $85.00.

We can find the amount each will save by subtracting the amount to be shared by the 5 students from the amount paid by the 4 students.

They will save

$ 20-$17=

$3

Each of them will save $3 if they can get a fifth person to join them and the 5 people equally divide the price of the 5-ticket block.

5 0
3 years ago
Use Vieta's Theorem to solve the problems.
VladimirAG [237]

Answer:

The answer is -2, -17

Step-by-step explanation:

You write a system of equations

x_{1} +x_{2}=-19\\x_{1}-x_{2}=15

Then you solve:

-2, -17

4 0
3 years ago
The perimeter of a rectangle is 30.8 km and it’s diagonal length is 11 km. Find it’s length and width
blsea [12.9K]

Answer:

Length of the rectangle is 15.0325 km and width is 0.3765 km.

Explanation:

Given:

Perimeter of a rectangle = 30.8 km

Length of diagonal of rectangle = 11 km

To find:

The length and width of rectangle=?

Solution:

Lets assume length of the rectangle = x km

And assume width of the rectangle = y km

Lets first create equation using given  perimeter

perimeter of rectangle = 2 ( length +  width )

=> 30.8 km = 2 ( x + y )  

=>x + y = \frac{30.8}{2}

=> y = 15.4 – x             ------(1)

As diagonal and two sides of rectangle forms right angle triangle whose hypoteneus is diagonal ,  

=> length^2 + width^2 = diagonal^2

=> x^2 + y^2 = 11^2

=> x^2 + y^2 = 121

On substituting value of y from (1) in above equation we get

=> x^2 + (15.4-x)^2 = 121

=>x^2 + (15.4)^2 + x^2 – 2 x 15.4 \times x   = 121

=> 2x^2-30.8x + 237.16 -121  = 0

=> 2x^2-30.8x + 116.16 = 0

Solving above quadratic equation using quadratic formula

General form of quadratic equation is  

ax^2 +bx +c = 0

And quadratic formula for getting roots of quadratic equation is  

x= \frac{ -b\pm\sqrt{(b^2-4ac)}}{2a}

As equation is 2x^2-30.8x + 116.16 = 0, in our case

a = 2 ,  b = -30.8 and c = 116.16

Calculating roots of the equation we get

x=\frac{ -(-30.8)\pm\sqrt{(-30.8)^2-4(2)( 11)} } {(2\times2)}

x=\frac{30.8\pm\sqrt{(948.64-88)}}{4}

x=\frac{30.8\pm\sqrt{860.64}}{4}

x=\frac{30.8\pm\sqrt{860.64}}{4}

x=\frac{(30.8\pm29.33)}4

x=\frac{(30.8+29.33)}{4}

x=\frac{(30.8-29.33)}{4}

=> x = 15.0325 or x = 0.3675

As generally length is longer one ,  

So x = 1.0325

From equation (1) y = 15.4 – x = 0.3765

Hence length of the rectangle is 15.0325 km and width is 0.3765 km.

6 0
3 years ago
Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determin
KengaRu [80]
Infinite number of solutions. x=4 and x=8
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3 years ago
Please help me with this I will make you brainlist if you respond with no links and fully! Do NOT steal points.
inessss [21]

Answer: C. 113.1 cubic centimeters

Step-by-step explanation:

Volume of a sphere= \frac{4}{3}(3.14)(r)^3

Since we know r then just plug in to get 4/3(3.14)(3)^3= 113.1

So the answer is C

4 0
3 years ago
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