The measure of one angle of a linear pair is 80°. If the
measure of the other angle is 4x°, what is x?

Answer:

slope is -4, equation is y= -4x + 35

Step-by-step explanation:

 11-15

______

 6-5

-4

____

1

11 = -4(6) + b

b = 35

Answer:

C

Step-by-step explanation:

given the fact that the other side measures all multiply by 4 when they are enlarged in the second shape, we know that the scale factor is 4. 3 enlarged by a scale factor of 4 = 12

Answer:

16√3 cm²

Step-by-step explanation:

The perimeter of a triangle is the sum of its all three sides. Since this is an equilateral triangle, all sides are equal.

Let's consider one side of the triangle to be 'x'

Givent that, the perimeter is 24cm,

The equation should be x + x + x = 24

⇒3x = 24

∴ x = 8 cm

To find the area of the triangle, we need to find the height, and for that, we can use trigonometry.

Since it is an equilateral triangle, all angles are exact 60°.

let's draw a line and mark it as 'h'.

we can use sine formula to find out the opposite i.e. h

sin∅ = opposite ÷ hypotaneous

sin 60° = h ÷ 8

h = 8 sin 60°

h= 4√3

Now, let's find the area

Area = 1/2 × base × height

Area = 1/2 × 8 × 4√3

area= 16√3 cm²

Answer:

y=0.20p + 0.15n

Step-by-step explanation:

I believe this is correct I am 90% positive that it is right.

The algebraic expression will be C = 0.20 p + 0.15 n

It is given that a pen cost $0.20 and a pencil cost $0.15.

We have to give expression for total cost of p pens and n pencils.

What will be the value if 2 times of x is added to x ?

The value will be 3x.

Cost of 1 pen = $0.20

Cost of p pens will be ;

= 0.20 p

Cost of 1 pencil = $0.15

Cost of n pencils = 0.15 n

If total cost is represented by C then ;

C =  0.20 p + 0.15 n

Thus , the algebraic expression will be C = 0.20 p + 0.15 n

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Answer:

The time it takes to hit a target that is 3 feet above ground is approximately 0.35 seconds

Step-by-step explanation:

The given parameters are;

The height of the arrow above the ground = 5 ft.

The height of the target above the ground = 3 ft.

The time it takes the arrow to fall to 3 ft. from 5 ft. above the ground is given by the free fall formula, since the arrow has no vertical velocity component

The equation for free fall is h = 1/2·g·t²

Where;

h = The height of fall = 5 - 3 = 2 feet

g = The acceleration due to gravity = 32.17405 ft/s²

t = How long it takes to fall (to its target)

∴ 2 = 1/2 × 32.17405 × t²

t² = 2/(1/2 × 32.17405) ≈ 0.1243

t = √0.1243 ≈ 0.353

t = 0.35 seconds, to the nearest hundredth

Therefore, the time it takes to fall 2 ft to hit a target that is 3 feet above ground = 0.35 seconds.

The time to hit the target is simply the period the arrow gets to the target from the arch.

The time to hit the target is 0.35 seconds

The height of a parabola is calculated as:

[tex]\mathbf{h = \frac{1}{2}gt^2}[/tex]

Where:

[tex]\mathbf{h =5 - 3 = 2}[/tex] --- the difference between the height of the arrow and the height of the target.

[tex]\mathbf{g = 32.2 fts^{-2}}[/tex] --- acceleration due to gravity

So, we have:

[tex]\mathbf{2 = \frac{1}{2} \times 32.2 \times t^2}[/tex]

Multiply both sides by 2

[tex]\mathbf{4 = 32.2 \times t^2}[/tex]

Divide both sides by 32.2

[tex]\mathbf{0.124 = t^2}[/tex]

Take square roots

[tex]\mathbf{0.35 = t}[/tex]

Rewrite as:

[tex]\mathbf{t = 0.35s}[/tex]

Hence, the time to hit the target is 0.35 seconds

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Answer:

It depends on what digits repeat

Step-by-step explanation:

A decimal with repeating digits after the decimal point can be converted to a fraction depending on the digits after the decimal point.

For example, let’s have 4/3

When we evaluate this using a calculator, we can see that we have recurring 3 after the decimal point

So 4/3 is actually 1.3333333333333

We can see that based on the number after the decimal point we can convert this to 4/3

Answer

It depends on what digits repeat

Step-by-step explanation:

I hope this helps!

Answer:0.75

Step-by-step explanation:

Answer:

Step-by-step explanation:

D

Answer:

x > -17/6 or x < -1/2

Step-by-step explanation:

4 |3x + 5| + 20 > 6

4 |3x + 5| > -14

|3x + 5| > -14/4

This is where the two equations split.

+:

3x + 5 > -14/4

3x > -17/4

x > -17/6

-:

- (3x + 5) > -14/4

3x + 5 < 14/4

3x < -3/2

x < -1/2

Supposedly these are your answers, but if I'm incorrect, please let me know. I don't see an option for you on that picture though.

Answer:

B = 10

Step-by-step explanation:

5B + 6 + 4B - 6 = 90

9B + 0               = 90

Therefore,      B = 10

Answer:

2

Step-by-step explanation:

11-9 is 2

Answer:

1/12

Step-by-step explanation:

finding recirocal is basically turning your number into 1. so 12 times 1/12 equals 1.

The reciprocal of 12 is 1/12. 

Hope this helps! :)

Answer:

182i2j3jdii32i3i38839393838383383 yan yung sagot pasalamat ka nalang mamaya

Step-by-step explanation:

hakdog ses dog

Answer:

y = -1 2/3x - 4

Step-by-step explanation:

y = mx + b

Replace numbers with the corresponding variables

6 = -5/3 * -6 + b

6 = 10 + b

-4 = b

y = -1 2/3x - 4

Let me know if something's wrong :)

Answer:

Step-by-step explanation:

The answer is because when rounding it should be b

Answer:

ddsdvffgdf gddccd fddf

The Equation is s = 170 t - 150 and 1210 pounds of strawberries can be processed in 8 hours.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

A cannery processed 785 pounds of strawberries in 5.5 hours.

and, The cannery processed 1550 pounds in 10 hours.

let S be weight of strawberries and T be the Time.

So,

slope = (1550 - 785) / (10 - 5.5)

         = 170

Using slope- intercept form

y = mx + b

1550 = 170 (10) + b

b= -150

Then, y = 170 x - 150

and the equation is s = 170 t - 150

At t= 8 hour

s= 170x 8 - 150

s = 1210 pound.

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Answer:

20 caramel apples are covered with sprinkles

Step-by-step explanation:

Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping. 1/5 of caramel apples are covered with peanuts. 1/3 are covered with chocolate chips. 3/10 are covered with coconut. The rest are covered with sprinkles.

Let the Total fraction of caramel apples = 1

1 = 1/5 + 1/3 + 3/10 + caramel apples covered in sprinkles

Fraction of caramel apples covered in sprinkles = 1 - (1/5 + 1/3 + 3/10 )

LCM of denominator = 30

= 1 - (6 + 10 + 9/30)

= 1 - 25/30

= 5/30

= 1/6

How many caramel apples are covered with sprinkles

This is calculated as :

Fraction of caramel apples covered in sprinkles × Total number of caramel apples

= 1/6 × 120

= 20 caramel apples covered in sprinkles.

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

{9, 9.5, 10, 10.5, 10.5, 11, 11, 11.5, 11.5, 11.5, 12, 12}

The median of the distribution can be found using the formula :

Median = 0.5(n + 1) th term

n = number of terms = 12

Median = 0.5(12 + 1) th term

Median = 0.5(13)th term = 6.5th term

Select the 6th and 7th term = 11, 11

(11 + 11) /2 = 22/2 = 11

Hence, the median = 11

The distribution is negatively skewed, This was inferred from the shape of a distribution having a long shape positioned on the left side of the distribution.

The peak values are the 8th, 9rh and 10th values with only two values below in the right direction with the majority on the left.

Answer:

The median number of hours James worked is 10 . The skew of the distribution is  negative .

Step-by-step explanation:

Answer:

y=1

Step-by-step explanation:

Plug in 2 for x in the original equation, this gives you y=2(2)-3. 2(2)=4 and 4-3=1 therefore y=1.

Answer:

I believe its 1,200 pounds.

Step-by-step explanation:

9 × 4 = 36 so youd multiply 300 by 4 as well. I'm not sure but I think this is correct.

Answer:

The number of pink pens can be 19 .

Step-by-step explanation:

Total Number of pens = 20

Let x be the number of pink pens

We are supposed to find If the probability of choosing a pink pen is close to 1, how many pink pens would you expect to see in Amanda's bag

Probability of choosing a pink pen = [tex]\frac{\text{Number of pink pens}}{\text{Total Number of pens}}[/tex]

Probability of choosing a pink pen =[tex]\frac{x}{20}[/tex]

ATQ

[tex]\frac{x}{20}[/tex]≈1

x≈20

So, the number of pink pens can be 19 .

Answer:

b

Step-by-step explanation:

Answer: B

Explanation there is nothing for me to explain

Answer: 4.20(2)

Step-by-step explanation:

Answer:

1.C

2.A

Step-by-step explanation:

dude trust me

Answer:

614656h²⁸k⁸

Step-by-step explanation:

Exponent Power Rule: [tex](b^m)^n=b^{mn}[/tex]

Step 1: Write expression

[4h⁷7k²]⁴

Step 2: Distribute power 4 to each term

4⁴h⁷⁽⁴⁾7⁴k²⁽⁴⁾

Step 3: Simplify

256h⁷⁽⁴⁾2401k²⁽⁴⁾

614656h⁷⁽⁴⁾k²⁽⁴⁾

Step 4: Use Exponent Rule

614656h²⁸k⁸

Answer: y= 12.5x

Step-by-step explanation:

The last equation describes this statement because if he earns 12.50 per hour the y will be the amount he earns in x hours. For every hour, the money will go up by $12.50.

9514 1404 393

Answer:

  3.5 hr

Step-by-step explanation:

We assume that "the same rate" means effort per tree is a constant. "Effort" is measured as the product of lumberjacks and hours. Then ...

  (lumberjacks)(hours)/trees = (6)(2)/15 = (8)(t)/35

Multiplying by 35/8, we have ...

  (35/8)(12/15) = t = (3·4·5·7)/(2·3·4·5) = 7/2 = 3.5

It will take 8 lumberjacks 3.5 hours to cut down 35 trees.

Answer:

All of the above

Step-by-step explanation:

because all are correct