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3 years ago

Add using a number line.

Mathematics

1 answer:

coldgirl [10]3 years ago

5 0

Please refer to the attached image.

-2/5, 4/5 and -2/5 + 4/5 have been marked in red in the image

The points marked on the number line are separated by a distance of 1/5.

So when you add 4/5 to -2/5 you need to move 1/5 4 times (4/5 = 4 x 1/5) towards the right to reach the SUM.

Based on this, the sum of -2/5 and 4/5 is 2/5, and has been highlighted in the image.

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A right triangle has legs of length 4x and 20x. What is an expression for the hypotenuse of the right triangle

kherson [118]

Answer:

$4x\sqrt{26}$ .

Step-by-step explanation:

Given information:

$Leg_1=4x$

$Leg_2=20x$

According to the Pythagoras theorem,

$(hypotenuse)^2=(Leg_1)^2+(leg_2)^2$

Using Pythagoras theorem, we get

$(hypotenuse)^2=(4x)^2+(20x)^2$

$(hypotenuse)^2=16x^2+400x^2$

$(hypotenuse)^2=416x^2$

Taking square root on both sides.

$hypotenuse=\sqrt{416x^2}$

$hypotenuse=4x\sqrt{26}$

Hence, the expression of the hypotenuse is $4x\sqrt{26}$ .

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3 years ago

A recipe for 24 cookies calls for 4 tablespoons of sugar. If you make 40 cookies and use 5 tablespoons, will the cookies taste t

uranmaximum [27]

Answer:

Step-by-step explanation:

No, because they wouldn't contain the same amount of sugar per cookie

for the first recipe - 24 cookies with 6 tablespoons

thats 6/24 so 0.25 tablespoons of sugar per cookie

for the second recipe - 36 cookies with 10 tablespoons

thats 10/36 so 0.276 tablespoons per cookie

the cookies in the second recipe would be slightly sweeter than the cookies in the first

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2 years ago

Read 2 more answers

Exg(x), where g(0) = 6 and g'(0) = 1, find f '(0).

Phantasy [73]

Your answer is h (20’mm) x^c’’

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2 years ago

What is the hourly utilization rate of each resource if the bottleneck(s) work nonstop during a 10-hour day?

Bess [88]

Answer:

100%

Step-by-step explanation:

Utilization rate =

Hours worked / total working hours per day

Since the bottle works nonstop during a 10-hour day, it worked 10 hours

Utilization rate in percentage = (10/10)×100%

= 100%

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3 years ago

Please help asap! Due tonight!

oksano4ka [1.4K]

Answer:

Second choice, 3

Step-by-step explanation:

a^2 + b^2 = c^2

4^2 + b^2 = 5^2

16 + b^2 = 25

b^2 = 9 (square root both sides)

b = 3

7 0

3 years ago

Add​​ using a number line.

Add using a number line.