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Dmitrij [34]
3 years ago
11

Jodi and mariah are sisters. jodi is three years older than mariah. using one variable, write an expression to represent the sum

of their ages. make sure to explain what your variable represents.
Mathematics
1 answer:
lapo4ka [179]3 years ago
7 0
Mariah =X
Jodi= X+3

X+X+3= 2X+3
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Multiply. {}=3\dfrac{1}{2} \times 3\dfrac12=3 2 1 ​ ×3 2 1 ​
Inessa [10]

I assume you mean the product of mixed numbers,

3 1/2 × 3 1/2

If we write this as

(3 + 1/2) × (3 + 1/2) = (3 + 1/2)²

we can use the identity

(a + b)² = a² + 2ab + b²

so that

3 1/2 × 3 1/2 = 3² + (2 × 3 × 1/2) + (1/2)²

3 1/2 × 3 1/2 = 9 + 3 + 1/4

3 1/2 × 3 1/2 = 12 1/4

Alternatively, we can first write 3 1/2 as a mixed number:

3 + 1/2 = 6/2 + 1/2 = (6 + 1)/2 = 7/2

Then

3 1/2 × 3 1/2 = 7/2 × 7/2 = (7 × 7) / (2 × 2) = 49/4

and

49/4 = (48 + 1)/4 = ((4 × 12) + 1)/4 = 12 + 1/4

4 0
2 years ago
Which statement is NOT true about the slope of a straight-line graph?
soldi70 [24.7K]

Answer:

Option D. Slope is 1 if the line is vertical

Step-by-step explanation:

we have

Part A)  Slope is a measure of the steepness of the line

The statement is true

Because, the steepness of a line is measured by the absolute value of the slope.

Part B) Slope is the ratio of vertical change to horizontal change

The statement is true

Because the formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

so

Is the ratio of vertical change to horizontal change

Part C) Slope is zero if the line is horizontal

The statement is true

Because If the line is horizontal, the y-coordinate of two points is the same

therefore

The vertical change is equal to zero

Part D) Slope is 1 if the line is vertical

The statement is Not true

Because, if the line is vertical the slope is undefined

5 0
3 years ago
Read 2 more answers
Pencils that were selling at three for 25 cents are now on sale at five for 29 cents. How much money, in cents, would you save b
natita [175]

Answer:

We would save $1.52 cents

Step-by-step explanation:

3 the pencil were at sale for 25 cent

1 pencil = 25 cent/3 =8.33 cent per one pencil

5 the pencil were at sale for 29 cent

1 pencil = 29 cent/5 =5.8 cent per one pencil

If we bought 60 pencil in group of 3 for 25 cent

=60/3= 20 pencil

25cents * 20 pencil = 500 cent per 60 pencil

If we bought 60 pencil in group of 5 for 29 cent

=60/5= 12 pencil

29cents * 12 pencil = 348 cent per 60 pencil

From the analysis, the 5 pencil for 29 cent is cheaper are we are going to save: 500-348= 152 cents

7 0
3 years ago
What set of lengths forms a right triangle?
Leni [432]
The answer is C. 50 in, 48 in, 14 in

In a right triangle, a² + b² = c², where c is the longest side (hypotenuse), a and b are the other two sides.

14² + 48² = 196 + 2304 = 2500
50² = 2500
7 0
3 years ago
Pleas help me quickly !
Maksim231197 [3]

Answer:

-36

Step-by-step explanation:

-(36/-6) to the power of 2 is -36.

3 0
3 years ago
Read 2 more answers
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