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2 years ago

Activity 3

Mathematics

2 answers:

Artemon [7]2 years ago

8 0

Answer:

You kept 3
So the rest equal 60 - 3 = 57
Then you gave the rest to 3 friends
So each one will take 57/3 = 19

skad [1K]2 years ago

3 0

Answer:

19 Lollipops per friend

Step-by-step explanation:

$60-3=57\\\\57/3=19$

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Four times a number<br> decreased by ten is 34.<br> Write an equation & solve.

igomit [66]

4x - 10 = 34
4x +10 +10
4x = 44
4x/4 = 44/4
x = 11

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3 years ago

What is the area of this triangle?

zhenek [66]

Answer:

120

Step-by-step explanation:

alls you do is plug in the numbers its not hard sweetie

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2 years ago

Read 2 more answers

Sam and Sully are electricians. The graph represents the amount in dollars that Sam charges in terms of the number of hours he w

creativ13 [48]

Answer:

The initial amount Sam charges is [$4 greater than] the initial amount Sully charges. Sam’s hourly rate is [$2 less than] Sully’s hourly rate.

A graph is attached for reference.

Step-by-step explanation:

Given is the graph that represents the amount in dollars that Sam charges in terms of the number of hours he works.

Where two points are (0,40) and (1,60).

Finding the slope,

$m=\frac{(y2-y1)}{(x2-x1)} \\m=\frac{(60-40)}{(1-0)} \\m=\frac{20}{1} \\m=20$

Let us find the equation now,

$y-y1 = m(x-x1)$

Substituting (0,40) as (x1,y1) and slope m = 20

$y-40=20(x-0)\\y-40 = 20x\\y= 20x+40$

Here the 'y' intercept $40$ represents the initial charge of Sam.

On comparing the equations of Sam and Sully we observe that Sam initial charge is $40$ dollars.

And Sully's initial charge is $36$ dollars.

Thus Sam's initial charge is $4 greater than Sully's.

Similarly,

Slope represents their per hour charge.

The coefficient of 'x' represents their slope,

Slope in case of Sam,

$y=20x+40$ is $'20'$

And

Slope in case of Sully,

$y=22x+36$ is $'22'$

Thus on observing the slope 20 and 22, we say that the per hour charge of Sam is $2 less than that of Sully's.

4 0

3 years ago

How do I convert these probs? into base 10 4120_7, A3B_12, WXYZ_36

natali 33 [55]

4120_7 = 4•7³ + 1•7² + 2•7¹ + 0•7⁰

4120_7 = 4•343 + 1•49 + 2•7 + 0•1

4120_7 = 1372 + 49 + 14

4120_7 = 1435

In base 12, we use the digits 0-9 as well as A for 10 and B for 11. So

A3B_12 = 10•12² + 3•12¹ + 11•12⁰

A3B_12 = 10•144 + 3•12 + 11•1

A3B_12 = 1440 + 36 + 11

A3B_12 = 1487

In base 36, we assign values between 10 and 35 to the letters A-Z, so that

WXYZ_36 = 32•36³ + 33•36² + 34•36¹ + 35•36⁰

WXYZ_36 = 32•46656 + 33•1296 + 34•36 + 35•1

WXYZ_36 = 1492992 + 42768 + 1224 + 35

WXYZ_36 = 1537019

7 0

2 years ago

Please answer this in two minutes

alisha [4.7K]

Answer:

WX = 7.9

Step-by-step explanation:

By applying tangent rule (law of tan) in the given right triangle WXY.

tan(W) = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

tan(27)° = $\frac{\text{XY}}{\text{WX}}$

0.509525 = $\frac{4}{\text{WX}}$

WX = $\frac{4}{0.509525}$

WX = 7.85

WX ≈ 7.9

Therefore, length of side WX is 7.9 units.

3 0

2 years ago