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stepan [7]
2 years ago
14

A dog buried 18 bones in his backyard. On Monday, he dug up 1/2 of his bones. On Tuesday, he dug up another 1/3 of his bones. Ho

w many bones are still buried?
Mathematics
1 answer:
Korolek [52]2 years ago
5 0

Answer:

3

Step-by-step explanation:

A dog buried 18 bones

On Monday he dug up 1/2 of the bones

On Tuesday he dug up 1/3 of the bones

= 1/2 × 18

= 9

= 1/3×18

= 6

Therefore the remaining bones still buried in the ground can be calculated as follows

= 9+6

= 15

= 18-15

= 3

Hence 3 bones are still buried in the ground

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Simplify the expression by combining like terms if possible. If not possible select already simplified. 4a^2+2a+4a^2-5
vichka [17]
So the expression is: 4 a^{2} + 2a + 4 a^{2} - 5

You can combine like terms, which are terms that contain the same variables raised to the same power. That means you can combine the two 4 a^{2}. 4 a^{2} + 4 a^{2} = 8 a^{2} The other terms can't be combined.

Your final answer should be 8 a^{2} +2a-5.
8 0
3 years ago
Solve x2 + 5x = −6. x = 5 and x = 1 x = −5 and x = −1 x = 3 and x = 2 x = −3 and x = −2
fomenos

Answer:

x = −3 and x = −2

Step-by-step explanation:

x^2 + 5x = −6

Add 6 to each side

x^2 + 5x+6 = −6+6

x^2 +5x+6 =0

Factor

What 2 number multiply to 6 and add to 5

3*2 =6

3+2 =5

(x+3)(x+2) =0

Using the zero product property

x+3 =0             x+2 =0

x+3-3=0-3         x+2-2=0-2

x=-3                       x=-2

8 0
3 years ago
There's are 8 students who have 3/4 of a cake they want to share. How much of the cake will each student get if they spilt it ev
dmitriy555 [2]

Since there are 8 students, each student gets 1/8 of the available cake. Since there is 3/4 of a cake available, they will get 1/8 of 3/4.


Source: https://www.wyzant.com/resources/answers/142015/there_are_8_students_in_a_group_and_3_4_cake_how_much_cake_will_each_student_get_if_divided_evenly

3 0
3 years ago
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(x-4)^2+12(x-4)+20=0
Ratling [72]

Answer:

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Step-by-step explanation:

4 0
3 years ago
For a circle with a radius of 15 cm, what is the length of an arc intercepted by an angle measuring 120°?
slega [8]

Answer: 31.43 cm

Step-by-step explanation:

The length of an arc  is calculated using the formula:

\frac{theta}{360} X 2\pir

where : theta is the angle in degree

r = radius

If the angle is given in Radian , the length can be calculated using the formula:

L = r∅

Since , the angle is given in degree , we will use the first formula.

L = \frac{theta}{360} X 2\pir

L = \frac{120}{360} X 2 X π X 15

L = \frac{1}{3} X 2 X \frac{22}{7} X 15

L = \frac{660}{21}

L = 31.42857143

L ≈ 31.43 cm

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3 years ago
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