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3 years ago

Point M belongs to AN , point N belongs to BM , AB = 18 in and AM : MN : NB = 1:2:3. Find MN.

Mathematics

1 answer:

yulyashka [42]3 years ago

3 0

MN = 6 in

add the parts of the ratio, 1 + 2 + 3 = 6

divide AB by 6 to find 1 part of the ratio

$\frac{18}{6}$ = 3 ← 1 part

AM = 3 in ← 1 part

MN = 2 × 3 = 6 in ← 2 parts

NB = 3 × 3 = 9 in ← 3 parts

and 3 + 6 + 9 = 18 in = AB

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Select the correct answer. what is the solution set of y = x2 2x 7 and y = x 7? a. {(0, 7), (-1, 6)} b. {(0, 7), (-7, 0)} c. {(0

Kaylis [27]

Answer:

a. {(0, 7), (-1, 6)}

Step-by-step explanation:

$y = x^{2} +2x+7\\y=x+7$

subtract the equations

$y = x^{2} +2x+7 \\- \ \ \ \ \ y=x+7\\y - y =x^{2} +2x+7-(x+7)\\0=x^{2} +x\\x = 0 \ and \ x= -1$

for $y = x^{2} +2x+7$ , substitute x = 0

$y = (0)^{2} +2(0)+7\\y = 0 +0+7\\y=7$

for $y = x^{2} +2x+7$ , substitute x = 0

$y = (-1)^{2} +2(-1)+7\\y = 1 -2+7\\y=6$

6 0

2 years ago

A boat crew rowed 10.5 miles downstream, with the current, in 1.5 hours. the return trip upstream , against the current , covere

alukav5142 [94]

Answer:

The speed of the boat is 5 miles per hours

The speed of the current is 2 miles per hours .

Step-by-step explanation:

Given as :

The distance cover by boat downstream = D = 10.5 miles

The time taken by boat to cover D distance = T = 1.5 hours

The distance cover by boat Upstream = d = 10.5 miles

The time taken by boat to cover d distance = t = 3.5 hours

Let The speed of boat = x mph

Let The speed of current = mph

Now, According to question

∵ Speed = $\dfrac{Distance}{Time}$

For Downstream

x + y = $\dfrac{D}{T}$

Or, x + y = $\dfrac{10.5}{1.5}$

Or, x + y = 7 .......A

For Upstream

x - y = $\dfrac{d}{t}$

Or, x - y = $\dfrac{10.5}{3.5}$

Or, x - y = 3 .......B

Now, Solving eq A and eq B

So, (x + y) + (x - y) = 7 + 3

Or, (x + x) + (y - y) = 10

Or, 2 x + 0 = 10

∴ x = $\dfrac{10}{2}$

i.e x = 5 mph

So, The speed of the boat = x = 5 miles per hours

Put the value of x into eq A

∵ x + y = 7

Or, 5 + y = 7

∴ y = 7 - 5

i.e y = 2 mph

So, The speed of the current = y = 2 miles per hours

Hence, The speed of the boat is 5 miles per hours and The speed of the current is 2 miles per hours . Answer

7 0

3 years ago

Circle any equivalent ratios from the list below.

marysya [2.9K]

Answer:

Equivalent ratios: we can that the first ratio is equivalent to the second, then third ratio is equivalent to the forth.

Ratio: 1: 2 Value of the Ratio: 1/2

Ratio: 5: 10 Value of the Ratio: 1/2

Ratio: 6: 16 Value of the Ratio: 3/8

Ratio: 12: 32 Value of the Ratio: 3/8

We notice that if the values are equivalent the ratios are equivalent

Step-by-step explanation:

Equivalent ratios:

To get if ratios are equivalent we look for the constant between ratios

a.Ratio: 1: 2 and Ratio: 5: 10

We apply the method of comparing the first term of both ratios , and the second term of both ratios. We see the constant is 5 ( 1/5 is equal to 2/10)

We do the same with third and forth ratio

Ratio: 6: 16 compare to Ratio: 12: 32

6/12 is equal to 16/32 the constant is 2

So, we can that the first ratio is equivalent to the second, then, third ratio is equivalent to the forth.

Value of the Ratio: The value is a ratio written as a fraction.

Ratio: 1: 2 Value of the Ratio: 1/2

Ratio: 5: 10 Value of the Ratio: 5/10 if we divide both sides by 5, we can say Value of the Ratio: 1/2

Ratio: 6: 16 Value of the Ratio: 6/16 if we divide both sides by 2, we can say the value is 3/ 8

Ratio: 12: 32 Value of the Ratio: 12/32 if we divide both sides by 4, we can say the value is 3/ 8

If the values are equivalent the ratios are equivalent.

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3 years ago

Read 2 more answers

What is the answer too 2(4w-1)=-10(w-3)+4

Advocard [28]

Answer:

w = 2

Step-by-step explanation:

2(4w - 1) = -10(w - 3) + 4

8w - 2 = -10w + 30 + 4

8w - 2 = -10w + 34

+10w +10w

18w - 2 = 34

+2 +2

18w = 36

18 18

w = 2

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3 years ago

4 pairs of shoes cost $80. What is the cost of 7 pairs of shoes ?

Karolina [17]

80/4=20
20x7=140
7 shoes = 140

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3 years ago

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