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nignag [31]
3 years ago
12

Find a pair of positive integers for and b in these questions 18 + 65 = 1865 23 + 7 = 2314

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
6 0

Answer:

a=100

b=1

Step-by-step explanation:

18a+65b=1865

23a+7b=2314

We need to make one of the variables equal to the other

So...

The LCM for 65 and 7 is 455

So multiply 7 with 18a+65b=1865

and Multiply 65 with 23a+7b=2314

7 times 18a+65b=1865 is 126a+455b=13055

65 times 23a+7b=2314 is 1495a+455b=150410

So Subtract 126a+455b=13055 and 1495a+455b=150410

So 1369a=137355

Divide:

Which is about 100 (The actual value is 100.3323594)

Thus a=100

Substitute:

b=1

Hope this helps!

(The answer is rounded)

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Find the 2nd term in the expansion of (a + b)^7 in simplest form
klasskru [66]

Answer:

7a^6b

Step-by-step explanation:

Using the pascal triangle to do this binomial expansion, we find out that the coefficient is 7. The a variables start at the power to which you are expanding and reduce by 1 for every consecutive term. The b variables start at the power of 0 and increase by 1 for every consecutive term. Using this information, we find out that the second term in the binomial expansion (a+b)^7 is 7a^6b

Note that the power of b in the second term is b^1 which is the same as b

5 0
3 years ago
I NEED HELP!!
Tpy6a [65]

Answer:

Step-by-step explanation:

Step 1: Find the total fraction of raisins he gave to his brothers

=

Step 2: Find the lowest common multiple(Lcm) of 6 and 4

Lcm of 6 and 4 = 12

Step 3: Add the fractions

= \frac{2+ 3}{12}

= \frac{5}{12}

Step 4: To find the fraction that he kept, you will subtract the total fractions he gave his brothers from 1.

1 - \frac{5}{12} \\= \frac{12-5}{12} \\= \frac{7}{12}

Final answer

The fraction that he kept = \frac{7}{12}

3 0
3 years ago
Fatima divided 63 by 9 and got a quotient of 6. is she correct? explain.
allsm [11]
No she is not correct . 63 divided by 9 is 7 not 6 
5 0
3 years ago
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Over [174]

Answer:

i think c but im not positive

Step-by-step explanation:

7 0
3 years ago
A spherical ball with a volume of 972π in.3 is packaged in a box that is in the shape of a cube. The edge length of the box is e
aivan3 [116]
To find the volume of the box you will use the volume of the sphere formula to find the radius of the circular region of the sphere. You wil then double the radius to find the diameter.

V = 4/3 x pi x r^3
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The radius is 9 inches, and the diameter is 18 inches.

The volume of the box is 18 in x 18 in x 18 in or 5832 in.³.
4 0
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