6) Which of the following expressions are equivalent to 40x + 30y? Choose ALL that apply.
5x(8 + 6)
5(8x + 6y)
10(40x + 30y)
10(4x + 3y)
2y(20x + 15)
2(20x + 15y)

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 = -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:

D

Answer:

1.C

2.A

Step-by-step explanation:

dude trust me

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:

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:

problem 1: h=a/b problem 2: 5

Step-by-step explanation:

First problem: a=bh

First you have to flip the equation so bh=a

Next you have to divide both sides by b.

bh/b=a/b

so h=a/b

Second problem: 45ft is the area and 9ft is the base so to find the height you have to divide the area by the base

If you only have the base and height you would multiply them to find the area. If you only have area and height you divide area by height to get base.

You have to divide 45 by 9, the answer would be 5.

Hope this helped!

Answer: 4.20(2)

Step-by-step explanation:

Answer:

8.21 months.

Step-by-step explanation:

The growth rate of hair, R = 15 cm/year

As 1 year = 12 months,

[tex]\Rightarrow R=\frac{15}{12}[/tex] cm/month

As 1 cm ≈ 0.39 in.,

[tex]\Rightarrow R= \frac{15}{12}\times 0.39=0.4875[/tex] inch/month.

As she wants to grow it 4 inches longer than it now, So, the time required for 4 inches growth = 4/0.4875=8.21 months.

Hence, she needs to wait for 8.21 months.

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:

1. 35 2. 145 3. 35 4. 90 5. 145

Step-by-step explanation:

Answer

Option D

Step-by-step explanation

For further help (727) 335-8234

The first step of indirect proof of the conditional below

If x2 = 25, then 5’2= 25 and x = 5 is assume 5² = 25.

Option B is the correct answer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Conditions:

x² = 25 then 5² = 25 and x = 5

If we have to prove the above conditions indirectly, we have to prove that x² = 25 using the conditions 5² = 25 and x = 5.

So,

We have to assume,

Step 1:

5² = 25

Step 2:

x = 5

Step 3:

x² = 25

Thus,

The first step of indirect proof of the conditional below

If x2 = 25, then 5’2= 25 and x = 5 is assume 5² = 25.

Option B is the correct answer.

Learn more about equations here:

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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.

Learn more about slope here:

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Answer:

ddsdvffgdf gddccd fddf

Answer:

it’s going up by 3 boys per girl!

Step-by-step explanation:

Correct me if I’m wrong by commenting down below.

Answer:

182i2j3jdii32i3i38839393838383383 yan yung sagot pasalamat ka nalang mamaya

Step-by-step explanation:

hakdog ses dog

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.

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:0.75

Step-by-step explanation:

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

Read more about rates and time at:

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Answer:

The probability a salamander has a length between 12.2cm and 16.5cm is 0.6930

Step-by-step explanation:

We start by finding the z-score of each

Mathematically;

z-score = (x - mean)/SD

for 12.2 cm

z-score = (12.2 - 15)/2 = -2.8/2 = -1.4

For 16.5 cm

z-score = (16.5 -15)/2 = 1.5/2 = 0.75

So the probability we want to calculate is;

P( -1.4 < z < 0.75)

we can calculate this using the normal distribution table

Mathematically;

P( -1.4 < z < 0.75) = P( z < 0.75) - P( z < -1.4)

= 0.2263 + 0.30738

= 0.69262

Answer:

Maximum number of gift cards she can purchase = 33

Reward points left with her = 48

Step-by-step explanation:

Let Albert's mom buys the number of gift cards = x

Points for each gift card = 75

Total points consumed to buy x gift cards = 75x

If total points with Albert's mom = 2523

So the remaining points with her = (2523 - 75x)

Inequality representing the remaining points will be,

(2523 - 75x) ≥ 0

75x ≤ 2523

x ≤ [tex]\frac{2523}{75}[/tex]

x ≤ 33.64

Maximum number of cards she can buy = 33

Therefore, reward points with her = 2523 - (75 × 33)

                                                         = 2523 - 2475

                                                         = 48

Answer:

The answer is A because the answer to the equation is x^{2}= -6 and the 7 is negative

Step-by-step explanation:

Hope this helps :)

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!

Step-by-step explanation:

Given problem;

  Write the equation of the line with the given slope and y-intercept

 The equation of a line is expressed as;

          y  = mx + b;

   m is the slope and b is the y-intercept

7. m = -5, b = -6

   y  = mx + b

Input the parameters:

    y = -5x -6

8. m = 1, b = -4

   y = mx + b

Input the parameters:

   y = x - 4

9. m = 0.4, b = -9

    y = mx + b

Input the parameters:

    y = 0.4x - 9

10. m = 0, b = 3

     y = mx + b

Input the parameters:

    y = 3

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:

All of the above

Step-by-step explanation:

because all are correct

Answer: x=37, y=9

Step-by-step explanation:

3x+11+x+21=180

4x+32=180

4x=148

x=37

3(37)+11=14y-4

111+11=14y-4

122=14y-4

14y=126

y=9