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2 years ago

M is between L and N. If LN = 91 and LM = 23, find MN.

Mathematics

1 answer:

Tasya [4]2 years ago

8 0

Answer:

MN = 68

Step-by-step explanation:

LN = 91

LM = 23

Points L, M, and N are collinear, therefore, according to the segment addition postulate, the following can be deduced:

LM + MN = LN

23 + MN = 91 (Substitution)

Subtract 23 from both sides

23 + MN - 23 = 91 - 23

MN = 68

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a boat builer wamts to make a modle of a schooner, a type of sailboatwith at least two masts. the schooner is 34 meters in lengt

BlackZzzverrR [31]

First you should set up fractions equal to each other to see the size ratio

8/34 = x/1.2

As to make comparable fractions. Then you would cross multiply in order to get
$34x = 9.6$
Divide both sides by 34 and you should get an answer of 0.28m for the model beam.

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2 years ago

Serena estimates that she can paint 60 square feet of wall space every half-hour. Write an equation for the relationship with ti

Katarina [22]

Answer:

So, the relationship with i hours as the indecent variables would be

Serena can't paint 400 square feet of wall space of wall space in 3.5 hours.

Step-by-step explanation:

Since we have given that

Area that she can paint = 60 square feet

Time taken = half hour = 30 minutes = 0.5 hours

Using "Unitary method, we get that

In 0.5 hours, she can paint = 60 square feet

In 1 hour, she can paint =

In i hours, she can paint =

Let the total area she can paint be 'y'.

So, the relationship with i hours as the indecent variables would be

Now, Can Serena paint 400 square feet of wall space i. 3.5 hours

We put y = 400 and i = 3.5 hours to check whether it is equal or not.

Hence, Serena can't paint 400 square feet of wall space of wall space in 3.5 hours.

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3 years ago

Read 2 more answers

Three Friends all have ages that are consecutive integers. The sum of their ages is 48. What is the age of the oldest friend?

Reptile [31]

Consecutive integers = in this situation double-digit whole numbers So as there are 3 of them let's say 2 are 11 because that would be the highest consecutive number so 11+11= 22 and 48-22=26 so the three have the ages of 11,11,26 and the oldest would be 26 ;)

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3 years ago

A wrestling match has eliminations each round. The table below shows the number of wrestlers in each of the first 4 rounds of th

AlladinOne [14]

$\bf \begin{array}{lllll}
round(x)&\boxed{1}&2&3&\boxed{4}\\\\
wrestlers[f(x)]&\boxed{64}&32&18&\boxed{9}
\end{array}
\\\\\\
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------\\\\
f(x)= \qquad 
\begin{cases}
x_1=1\\
x_2=4
\end{cases}\implies \cfrac{f(4)-f(1)}{4-1}\implies \cfrac{9-64}{4-1}\implies \cfrac{-55}{3}$

55 over 3, or 55 wrestlers for every 3 rounds, but the wrestlers value is negative, thus 55 "less" wrestlers for every 3 rounds on average.

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3 years ago

Read 2 more answers

*PLEASE HELP URGENT NEED TO TURN IN TOMORROW* WILL GIVE BRAINY AND 60 OR MORE POINTS

pogonyaev

Answer:

2. 92 ounces of Sprite

3. 1/6 do not want mustard on their ham sandwiches

4. 6 hours playing volleyball

5. 32 portions

Step-by-step explanation:

2. Sam has 8 cans of Sprite. Each can is 11 2/4 ounces

We can simplify 2/4 to 1/2

Multiply the number of cans by the ounces per can

8 * 11 1/2

8 * 11.5

92 ounces

3. 1/2 of the students want ham. 1/3 of those do not want mustard

We multiply 1/2*1/3 = 1/6

1/6 of the students do not want mustard on their ham sandwiches

4. 8 hours at the beach. 3/4 of the time was spent playing volleyball

Multiply this together

8*3/4 = 8/4*3 = 2*3 = 6 hours

5. We have 4 lbs of wings. We divide it into 1/8 lbs parts

4 ÷ 1/8

Copy dot flip

4 * 8/1

32 portions

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3 years ago