MATHEMATICS MIDDLE SCHOOL

Ava is 23 cm taller than Olivia,and Olivia is half the height of Lucas. If Lucas is 1.78 m tall,how tall are Ava and Olivia? Express their heights in centimeters.

Answers

Answer 1

Answer:

Ava's height is 89 cm
Olivia's height is 112 cm

Further explanation

Given:

Ava is 23 cm taller than Olivia
Olivia is half the height of Lucas
Lucas is 1.78 m tall

Question:

How tall are Ava and Olivia?

Express their heights in centimeters.

Problem solving:

From the information above, only Lucas's tall has known at 1.78 m.

Because Olivia is half the height of Lucas, then we must multiply Lucas's height with ¹/₂ to get Olivia's tall.

$\boxed{ \ Olivia's \ height = (1)/(2) * 1.78 \ m \ }$

Or, we can halve Lucas's height as follows:

$\boxed{ \ Olivia's \ height = 1.78 \ m / 2 \ }$

Thus, Olivia's height is $\boxed{ \ 0.89 \ meters \rightarrow 89 \ cm \ }$

Next, we find out Ava's height.

Because Ava's is 23 cm taller than Olivia’s, then we must add Olivia’s height with 23 cm to get Ava's height.

Ava's height = 89 cm + 23 cm

Thus, Ava's height is $\boxed{ \ 112 \ cm \rightarrow 1.12 \ meters \ }$

We have to express their height in centimeters. Recall that 1 m = 100 cm.

Conclusion

Ava's height is 0.89 m or 89 cm
Olivia's height is 1.12 m or 112 cm
Lucas's height is 1.78 m or 178 cm

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Keywords: Ava is 23 cm taller than Olivia, half the height of Lucas, 1.78 m tall, multiply, express their heights in centimeters.

Answer 2

Answer:

Thus, the height of ava and olivia is $\boxed{112\text{ cm}\text{ and }89\text{ cm}}$ respectively.

Further explanation:

It is given that height of ava is $23\text{ centimeter}$ more than the height than the height of olivia and the height of olivia is half of the height of lucas.

Consider the height of ava, olivia and lucas as $x,y$ and $z$ .

The height of the lucas is given as $1.78\text{ meter}$ .

This implies that the value of $z$ is as follows:

$\boxed{z=1.78}$

Since, the height of lucas is given in meter so, it is necessary to convert the unit into centimeter.

The height of lucas is converted into centimeter unit as follows:

$\begin{aligned}1\text{ meter}&\rightarrow 100\text{ centimeter}\n1.78\text{ meter}&\rightarrow 1.78*100=178\text{ centimeter}\end{aligned}$

Since, the height of olivia is half of the height of lucas so, the equation formed is as follows:

$\boxed{y=(z)/(2)}$

Substitute $178$ for the $z$ in the above equation.

$\begin{aligned}y&=(178)/(2)\n&=89\end{aligned}$

Therefore, the value of $y$ is $89$ .

This implies that the height of olivia is $89\text{ centimeter}$ .

It is given that height of ava is $23\text{ centimeter}$ more than the height than the height of olivia so, the equation formed is as follows:

$\boxed{x=23+y}$

Substitute $89$ for $y$ in the above equation.

$\begin{aligned}x&=23+89\n&=112\end{aligned}$

This implies that the height of ava is $112\text{ centimeters}$ .

Thus, the height of ava and olivia is $\boxed{112\text{ cm}\text{ and }89\text{ cm}}$ respectively.

Learn more:

1. Learn more about problem on coordinate of the graph brainly.com/question/1286775

2. Learn more about problem on equations brainly.com/question/1473992

3. Learn more about problem on triangles brainly.com/question/7437053

Answer details:

Grade: Middle school

Subject: Mathematics

Topic: Problems on Ages

Keywords: Age, height, ava, olivia, lucas, tall, meter, centimeter, unit, conversion, 1.78, value, half of height, taller than olivia, ava is 23 cm.

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Answers

Answer:

y= .75x

Step-by-step explanation:

first, you take the fraction and make it into a decimal

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Celeste has a garden that has a length of 15x and a width of 3x+ 5 feet. Write a polynomial that represents the perimeter of the garden

Answers

If garden that has a length of 15x and a width of 3x+ 5 feet then the perimeter of the garden is 36x+10.

The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, the garden has a length of 15x and a width of 3x + 5 feet.

To find the perimeter, we add the lengths of the four sides:

Perimeter = 2 × (Length + Width)

Substitute the given values:

Perimeter = 2 × (15x + 3x + 5)

Now, simplify the expression:

Perimeter = 2×(18x + 5)

Finally, distribute the 2:

Perimeter = 36x + 10

So, the polynomial that represents the perimeter of the garden is:

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Perimeter of a rectangle is
2 × length + 2 × width
P = 2 × (15x) + 2 × (3x + 5)
= 30x + 6x + 10
= 36x + 10

12.54 greater than less than or equal to 1.254

Answers

12.54 Is greater than 1.254

12.54 > 1.254

12.54 is greater than 1.254

374 × 510

What are the partial products Lucas will need to solve the problem?

Answers

The partial products that Lucas would need to solve this problem would be 3,740 and 187,000 if you are multiplying 374 on the top column and 510 on the bottom column. Or, the partial products Lucas would need is 2,040 and 35,700 and 153,000. Both partial products combination added together would be 190,740.

Answer:

3,740 and 187,000

Step-by-step explanation:

Photo included find the value. Of x and y

Answers

Because the shape is a parallelogram, LM and PN have the same length.
Therefore, y+8=5y
8=4y
y=2

Parallelograms have a total angle measure of 360 degrees. Opposite angles have the same measure, and angle MLP and LPN add up to 180 degrees.
Therefore, 2x-8 + 4x=180
6x-8=180
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x=31.3

This means that the correct option is A.

Opposite sides are equal in length in a parallelogram. Make LM and NP equal to each other in an equation.

y + 8 = 5y
Subtract y from both sides.

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∠L and ∠P are same-side angles, so that means they both add up to 180°. Make them add up to 180 in an equation.

4x + 2x - 6 = 180
Combine like terms.

6x - 6 = 180
Add 6 to both sides.

6x = 186
Divide both sides by 6.

x = 31

The answer is A) x = 31, y = 2.

Ben is 140cm tall. Mike is 1090mm tall. Who is taller? how much taller?

Answers

1 cm = 10 mm

Ben = 140 cm
Mike = 1090/10 = 109 cm

140 - 109 = 31
31 * 10 = 310

Ben is taller by 31 cm or 310 mm

1090mm = 109cm
Ben is taller.

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