Mary, Misa and Mandy have a combined height of 4.84 m. Mary is 9 cm/0.009m
shorter than Misa. Misa is 0.05 m taller than Mandy. How tall, in metres, is
Mandy?

Answers

Answer 1

Answer:

Mandy is 1.613 m tall

Step-by-step explanation:

Let us consider

Mary is A, Misa is B and Mandy is C

According to question,

A + B + C = 4.84 m...... (i)

From qsn

9 cm/0.009 m

= 9 cm/ 0.9 cm

= 10 cm

= 0.1 m

Then, A is 0.1 m shorter than B

i.e. A= B - 0.1 m

Also, B is 0.05 m taller than C

i.e B = C + 0.05m

We have to find height of C ( Mandy)

From eqn (i)

C = 4.84 - B - A

or, C = 4.84 - (C + 0.05) - ( B - 0.1)

or, C = 4.84 - C - 0.05 - B + 0.1

or, 2C = 4.89 - B

or, 2C = 4.89 - ( C + 0.05)

or, 2C = 4.89 - C - 0.05

or, 3C = 4.84

or, C = 4.84/3

or, C = 1.613 m

Answer 2
Hello!

Let’s start by assigning variables to each of the girls’ heights.

Mary=x

Misa=y

Mandy=z

Now, we know that Misa is 0.05 m taller than Mandy. Therefore we can say y (Misa’s height)= z (Mandy’s height) +0.05

Y=z+0.05


We also know that Mary is 0.009m shorter than Misa. Therefore, she must be 0.041 m taller than Mandy. We know this because Misa is 0.05 m taller than Mandy, and Mary is 0.009 meters shorter than Misa (0.05-0.009)= 0.041 Based on our determined variables, we can write this as:

X=z+0.041

OR REWRITTEN TO SOLVE FOR Z

Z=x-0.041

Finally, we know that the heights of all three girls are equal to 4.84 meters:

X+y+z=4.84


Let’s solve! Plug the second equation, solved for z, into the first equation.

Y= (x-0.041) +0.05

Now, let’s plug that in for “y” and the second equation in for “z” in the final equation:

X+ ((x-0.041) +0.05)+ (x-0.041)= 4.84

Solve for X:

1.624

Plug that number in for “X” in the second equation to get Mandy’s height (z)

Z=x-0.041

Z= 1.624-0.041


Mandy’s height is 1.583 m

I know this is a little confusing, but I hope this helped! If you have any questions, feel free to comment and I can help clarify!

Related Questions

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Answers

Answer:

The inverse f-1(x) = ( x + 10)/2.

Step-by-step explanation:

f(x) = 2x - 10

Find x in terms of f(x):

2x = f(x) + 10

x = (f(x) + 10))/ 2

Replace x by the inverse f-1(x) and f(x) by x:

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Answers

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-5s = 5

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Step-by-step explanation:

Udndkdjdndjxbdnekdjdndkdjdjd

The answer would be s=1

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Let earn per hour be x

The equation will be

[tex]\\ \sf\Rrightarrow 6.5(x)=42.25[/tex]

[tex]\\ \sf\Rrightarrow 6.5x=42.25[/tex]

[tex]\\ \sf\Rrightarrow x=\dfrac{42.25}{6.5}[/tex]

A jacket costs $129.95. The sales tax rate is 8%. If prepresents the price of the jacket, and the sales tax rate, which TWO expression
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Answers

Answer:

A and C

Step-by-step explanation:

A. P+rp would be 129.95+.08(129.95)=140.35

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If the reserve rate is 3% and a bank receives a deposit of $16,000, how much of the $16,000 is the bank free to loan out?

Answers

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Step-by-step explanation:

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Answers

Answer:

[tex]\frac{59}{100}[/tex]

Step-by-step explanation:

first divide 59 by 100

[tex]\frac{59}{100}[/tex]

now simplify

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[tex]\frac{59}{100}[/tex]

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Answers

Step-by-step explanation:

2x+3x=15

5x=15

x=15/5

x=3

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Answers

Answer:

True

Step-by-step explanation:

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Answers

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Step-by-step explanation:

Let "w" be width

W = 21ft

w x 2 = L

L = 42ft

Perimeter:

42+42+21+21

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(3x2 – 5x + 6) + (2x2 + 7x - 9)

Answers

Answer:

Step-by-step explanation:

3x^2 + 2x^2 - 5x + 7x + 6 - 9

5x^2 + 2x - 3

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O A. -4+9 (+ 3)
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O C. 624 – 4
O D. 9 (y2 + 3)
URGENT

Answers

Answer:

May be the ans is option C and A

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A negative ten and eight thirty-fifths
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Answers

Answer:

C!!!!

Step-by-step explanation:

i just worked out the equation by turning them into proper fractions and multiplying! hope this helped, have a nice day <3

Answer:

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=5 4/7 − 2 2/5

Rewriting our equation with parts separated

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Solving the whole number parts

5−2=3

Solving the fraction parts

4/7 − 2/5 = ?

Find the LCD of 4/7 and 2/5 and rewrite to solve with the equivalent fractions.

LCD = 35

20/35 − 14/35 = 6/35

Combining the whole and fraction parts

3 + 6/35 = 36/35

Solution by Formulas

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

39/7 + −12/5

Applying the fractions formula for addition,

=(39×5)+(−12×7)/7×5

=195 + −84/35

=111/35

=36/35

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Answers

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Answers

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..................

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Answers

Answer:

12,250

by dividing the 441000 by 36, I got the answer.

The population density of Miami, in people per square mile, in 2015 was 12,250

The given parameters are:

Population = 441,000 peopleArea = 36 square miles

The population density of a place is the ratio of the population to the unit square area.

So, we have:

[tex]Density=\frac{Population}{Area}[/tex]

Substitute known values

[tex]Density=\frac{441000}{36}[/tex]

[tex]Density=12250[/tex]

Hence, the population density of Miami, in people per square mile, in 2015 was 12,250

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Answers

Answer:

5d = 30

Step-by-step explanation:

1. first you need to add 5 to both sides

   d-4+5 = 2+5

2. then you need to combine like terms

   d+1 = 7

3. after that you have to multiply both sides by 5

   5(d+1) = 7(5)

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Answers

Answer:

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Step-by-step explanation:

Step-by-step explanation:

the base is already same.

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= m^-10

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Answers

Answer:

4[tex]x^{2}[/tex] − 8 − 14

Step-by-step explanation:

1. Simpify

2. Subtract the numbers

3. Combine like terms

4. last but not least rearrange the terms

Hope this helped :)

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Answers

-9+6 =-3 , negative times negative is positive
Negative×negative=positive
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Answers

the first statement is incorrect.

A statement that is not true based on the figures would be A; CD = JK

WE are given the figure of two similar pentagon figure that are;

ABCDE and JKLMN

Similar figure are zoomed in or zoomed-out (or just no zoom) version of each other. For two similar figures, the pair-by-pair similar angles of those two similar figures are called corresponding angles tthat are of same measurement.

Thus, we can see that the sides are similar to each other.

AB = JK

CB = LK

CD = LM

DE = MN

AE = JN

Since CD = JK is not valid

Therefore, we can conclude that the first statement is incorrect.

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Answers

Answer:

when are you going to insert file?

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Answers

Answer:

The answer for question no 1 is 9

Step-by-step explanation:

Check out the steps as I've done in the image sent

Work 2 and 3,using the same process

Hope you understand?

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Answers

Answer:

[tex]5x + 6y = 42[/tex]

Step-by-step explanation:

Hope it is helpful....

2. Quinton sold the most tickets in his school for the annual Autumn Festival. As a
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Answers

Answer:

I personally would choose the notebook

Step-by-step explanation:

Find the value of x that will make A||B.

Answers

Answer:

7

Step-by-step explanation:

By the definition of alternate interior angle:

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3x-2x=5+2

x=7

Note:if you need to ask any question please let me know.

Answer:

x = 7

Step-by-step explanation:

since these are alternating interior angles, these two expressions will be = to each other

2x+5=3x-2

subtract the 2x from both sides

5=x-2

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Answers

Answer:

$95, $115, $135, $155

Step-by-step explanation:

If the first person gets x dollars:

the next person gets 20 more, so x + 20 dollars

the next person gets x + 40 dollars

and the last person gets x + 60 dollars

We add all these allocations together, and we get $500

x + (x + 20) + (x + 40) + (x + 60) = 500

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4x + 120 = 500

Subtract 120 on both sides

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x = 95

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The second person must get $115

The third must get $135

And the fourth must get $155

Checking our work:

95 + 115 + 135 + 155 = 500

Solve X/3 - 2X+1/3 = X-3/5​

Answers

Answer:

Answer is 3

Step-by-step explanation:

x/3-2x/1+3 =x-3/5

x/3-x/3 = x-3/5

0=x-3/5

0=x-3

3=x

sothat, x = 3 ans

Sales Tax - You go to the store and purchase a shirt for $33.99, how much will you pay
after 8.25% sales tax.

Answers

Answer:

$95.17

Step-by-step explanation:

[tex] 33.99 \times 0.0825[/tex]

[tex] = 2.80[/tex]

[tex] 33.99 + 2.80[/tex]

[tex] = $95.17[/tex]

Solve: 2 3/4 ÷ 1 4/7=
Help?

Answers

Answer:

[tex] \frac{11}{7} [/tex]

Step-by-step explanation:

[tex]2 \frac{3}{4} \div 1\frac{4}{7} [/tex]

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[tex] = \frac{11}{4} \times \frac{4}{7} [/tex]

[tex] = 11 \times \frac{1}{7} [/tex]

[tex] = \frac{11}{1} \times \frac{1}{7} [/tex]

[tex] = \frac{11 \times 7}{1 \times 7} [/tex]

[tex] = \frac{11}{1 \times 7} [/tex]

[tex] = \frac{11}{7} [/tex]

Order the numbers below from least to greatest.


Answers

Answer:

I don't believe any of these are correct.

I think the real order is:

-9/4, -1, [tex]\sqrt{6}[/tex], 1/4, 3.9

But I would choose D if I were you.

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