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OleMash [197]
2 years ago
8

Hi! Could you help me me out and solve these two problems? "eight less than the product of seven and xxx", and "the sum of six a

nd the product of three and d". Thank you!
Mathematics
1 answer:
Ann [662]2 years ago
3 0

Given:

The given statement are:

a. Eight less than the product of seven and x.

b. The sum of six and the product of three and d.

To find:

The expression for the given statements.

Solution:

a.

Product of 7 and x is 7×x = 7x.

Eight less than the product of seven and x is 7x - 8.

Therefore, the required expression for the statement "Eight less than the product of seven and x" is 7x-8.

b.

Product of 3 and d is 3×d = 3d.

The sum of six and the product of three and d is 6+3d.

Therefore, the required expression for the statement "The sum of six and the product of three and d" is 6+3d.

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7 0
3 years ago
Find the smallest positive integer solution to the following system of congruences: x = 0 (mod 5) x = 8 (mod 11) The solution is
igomit [66]

Answer:

The smallest positive integer solution to the given system of congruences is 30.

Step-by-step explanation:

The given system of congruences is

x=0(mod5)

x=8(mod11)

where, m and n are positive integers.

It means, if the number divided by 5, then remainder is 0 and if the same number is divided by 11, then the remainder is 8. It can be defined as

x=5m

x=11n+8

5m\cong 11n+8

Now, we can say that m>n because m and n are positive integers.

For n=1,

5m=11(1)+8=19

5m=19

19 is not divisible by 5 so m is not an integer for n=1.

For n=2,

5m=11(2)+8

5m=30

m=6

The value of m is 6 and the value of n is 2. So the smallest positive integer solution to the given system of congruences is

x=5(6)=30

Therefore the smallest positive integer solution to the given system of congruences is 30.

8 0
3 years ago
What is the answer for -8=s+6
9966 [12]

Answer:

s=-14

Step-by-step explanation:

-8 = s+6       Given

-14 = s          Subtract 6 from both sides

7 0
3 years ago
The polygons are similar, but not necessarily drawn to scale. Find the scale factor. Find the value of x. Find the value of y.
Tatiana [17]

Answer:

x = 5

y = 9

Step-by-step explanation:

Since the scale is 2, the side of x needs to 4 because the corresponding side on the other figure is 2 (2 * 2 = 4).

So, x - 1 = 4

x = 5

Similar to the y side, the y side needs to be 10.

So, y + 1 = 10

y = 9

3 0
3 years ago
What is 20 x 10 to the power of 5
Thepotemich [5.8K]

Answer:

2000

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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