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alexandr1967 [171]
2 years ago
14

What are two consecutive integers, such that five times the smaller minus three times the larger is 51? What is the smallest int

eger?
Mathematics
1 answer:
Xelga [282]2 years ago
3 0
<h3>Answer:   27</h3>

===============================================

Work Shown:

x = smaller integer

x+1 = larger integer

x and x+1 are consecutive integers since the larger follows right after the smaller

5*(smaller) - 3*(larger) = 51

5*(x) - 3*(x+1) = 51

5x - 3x - 3 = 51

2x - 3 = 51

2x = 51+3

2x = 54

x = 54/2

x = 27

x+1 = 27+1 = 28

The two consecutive integers are 27 and 28.

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Jewel is 7 years old and John is 16 years younger than Dave. One year ago, Dvae's age was twice the sum of Jewel's and John's ag
ivanzaharov [21]

Answer:

Jewel is 7 years old

John is 1 year old

Dave is 17 years old

Step-by-step explanation:

From the question we are told that:

Jewel age is J=7 years

John age J'=(D-16)years

Dave's age a Year ago

 D-1=2(J-1+J'-1)

So that Dave.s age this Year could be

 D=2((J-1)+(J'-1))+1

Simplifying Equation for Dave's age we have

 D=2((7)-1+(D-16)-1)+1

 D=2(6+D-15)+1

 D=2(D-9)+1

 D=2D-18+1

 D=17 Years

Dave is 17 years old

Therefore

Johns age is

 J'=(D-16)

 J'=17-16

 J'=1year old

John is 1 year old

7 0
3 years ago
Show work, please someone help me, i'm confused still on this concept.
BigorU [14]
Answer: choice C) -15x^4y

-----------------------------------------

Explanation:

The coefficients are -3 and 5. They are the numbers to the left of the variable terms
Multiply the coefficients to get -3*5 = -15. So -15 is the coefficient in the answer

Multiply the x terms to get x^3 times x = x^(3+1) = x^4. Notice the exponents are being added

Do the same for the y terms as well: y^2 times y^(-1) = y^(2+(-1)) = y^(2-1) = y^1 = y

So we have a final coefficient of -15, the x terms simplify to x^4 and the y terms simplify to just y

Put this all together and we end up with -15x^4y which is what choice C is showing

3 0
3 years ago
Show (prove) in detail why (xyz)4 =x4 y4 z4 for any number x,y,z
Ganezh [65]
By using distributive property you can distribute (XYZ)4 and get a simplified answer of 4(x)+ 4(y) + 4 (z). The parenthesis show that 4(xyz) is not simplified and could also be written as 4(x)+ 4(y) + 4 (z).
7 0
3 years ago
Please help and show your work
ElenaW [278]
#6 (you should download an app call “Photomath “)

8 0
3 years ago
Which equation represents the line that passes through the points (-4,3) and (2,12)
Ksenya-84 [330]

Answer:

y = 3/2 x + 9

Step-by-step explanation:

take the two points and find slope :

12 - 3 / 2 - (-4) = 3/2

then use the slope and one of the points to find the y-intercept :

y = 3/2 x + b

3 = 3/2 * (-4) + b   (Substitute)

3 = -6 + b             (Multiplication)

3 + 6 = -6 + b + 6 (Addition)

b = 9

so, your final slope-intercept equation is :

y = 3/2 x + 9

8 0
2 years ago
Read 2 more answers
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