Write the equation of the line y = 3x + 5 when dilated by a scale factor of 2 centered
at the origin

Step-by-step explanation:

15(3) - 2(2 x 3 + 6)

45 - 2(12)

45 - 24

21

11(3) - 12

33 - 12

21

21 = 21

Answer:

1a: 72

1b: 432

2a: 680

2b: 35,360

3: 19.50

4a: 6,000

4b: 1,500

5: 784

Answer:

3:2

Step-by-step explanation:

The total size of the class is 2+3

= 5

Total number of women= 2

Total number of men = 5-2

= 3

Therefore the ratio of men to women is 3:2

The solution is Option B.

The value of a from the equation is a = 0

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

( 1/8 )⁻³ᵃ = ( 512 )³ᵃ   be equation (1)

On simplifying the equation , we get

when a = 0

Substitute the value of a = 0 , we get

( 1/8 )⁻³ˣ⁰ = ( 512 )³ˣ⁰

On simplifying the equation , we get

( 1/8 )⁰ = ( 512 )⁰

Any number raised to the power 0 will be 1

So , ( 1/8 )⁰ = ( 512 )⁰ = 1

1 = 1

Therefore , the value of a = 0

Hence , the equation is solved

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Kathy worked 25.75 hours + 18.25 hours = 44 hours these two weeks.

Answer:

44 hrs

Step-by-step explanation:

please give other person brainliest

Answer: He read 40% of the total time.

Step-by-step explanation:

As per given,

Total time he spent = 2 +1+2 = 5 hours

Number of hours he spent on reading = 2 hours

The percent of the total time he read = [tex]\dfrac{\text{Number of hours read}}{\text{Total time spent}}\times100[/tex]

[tex]=\dfrac{2}{5}\times100\\\\=40\%[/tex]

i.e. The percent of the total time he read  = 40%

Hence, he read 40% of the total time.

Answer:

e=1

Step-by-step explanation:

Answer:

e = 1

Step-by-step

i hope this helped have a great day!

Answer:

9.89

Step-by-step explanation:

Find the distance between the two points rounding to the nearest tenth (if necessary) (6,-1) and (-1,6)

Step one:

given data

x1=6

y1=-1

x2=-1

y2=6

Step two:

The distance between two point is

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((-1-6)²+(6+1)²)

d =√((-7)²+(7)²)

d =√49+49

d=√98

d=9.89

Answer: 1.6 meters tall

Step-by-step explanation:

the building is twice as tall as its shadow sooo..

0.8 x 2 = 1.6m

Answer:

Step-by-step explanation:

[tex]x[/tex] is the total volume of milk.

100% - 60% = 40%

40% is left in the glass.

40% of [tex]x[/tex]  = 80 ml

[tex]\frac{40}{100}[/tex] of [tex]x[/tex] = 80

[tex]x = 80[/tex] × [tex]\frac{100}{40}[/tex]

[tex]x = 200[/tex] ml

The volume of milk initially in the glass was 200 ml.

A percentage is a minimum number or ratio that is measured by a fraction of 100.

Let x be the total volume of milk.

100% - 60% = 40%

40% is left in the glass.

40% of x = 80 ml

40 / 100 × x = 80

0.4 × x = 80

x = 200

Thus, The volume of milk initially in the glass was 200 ml.

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Answer:

1. A = 4 + 3t ............ 1

  B = 12 + 2t .............. 2

2. 8 hours

Step-by-step explanation:

For park A,

A = 4 + 3t ............ 1

where A is the amount paid, and t is the number of hours.

For park B,

B = 12 + 2t .............. 2

where B is the amount paid, and t is the number of hours.

The hours that would make A = B can be determined as follows.

Equate 1 and 2, so that;

A = B

4 + 3t = 12 + 2t

collect like terms

3t - 2t = 12 - 4

t = 8

The number of hours that would make the cost of each garage the same is 8.

Answer:

A= 3t+4

B= 2t+12

3t+4=2t+12

t= 8 hours

=====================================================

Explanation:

We'll apply the arc length formula

L = theta*r

Theta is the central angle and r is the radius. This formula only works when the angle is in radian mode. In this case, theta = 4/3 radians.

Arc length AB is part of a circle that has radius r = 8, so,

L = theta*r

L = (4/3)*8

L = 32/3

That represents the length of arc AB. This length is in cm.

-----------------------

Let x be the length of segment BD. This is also the length of AC as well due to rotational symmetry.

Arc CD is part of the larger circle that has radius r = 8+x

L = theta*r

L = (4/3)(8+x)

-----------------------

We found the following lengths so far

These four pieces form the sides of the blue region. Therefore, they form the perimeter of the blue region. Add up these four sides and set the sum equal to the given perimeter 48. Then solve for x.

(arcAB)+(segmentBD)+(arcCD)+(segment AC) = perimeter of blue region

(32/3) + (x) + (4/3)(8+x) + (x) = 48

32/3 + x + (4/3)*8+(4/3)*x + x = 48

32/3 + 2x + 32/3+(4/3)*x = 48

64/3 + 2x +(4/3)*x = 48

64/3 + 6x/3 +(4/3)*x = 48

64/3 + (10/3)*x = 48

(10/3)*x = 48-64/3

(10/3)*x = 144/3-64/3

(10/3)*x = 80/3

10x = 80

x = 80/10

x = 8

-----------------------

Since x = 8, we know that AC and BD are each 8 cm long.

This means that the larger circle has radius 8+8 = 16 cm

Now we'll apply the sector area formula. You can think of a sector as a pie slice or pizza slice. The formula shown below only works if theta is in radian mode.

Let's find the area of sector AOB. This is the smaller pie slice.

A = area of sector

A = (1/2)*theta*r^2

A = (1/2)*(4/3)*8^2

A = (1/2)*(4/3)*64

A = (1*4*64)/(2*3)

A = (2*64)/3

A = 128/3

Sector AOB is 128/3 square cm. Let's make m = 128/3 so we can use it later.

Now let's find the area of sector COD. We use the same theta value, but the radius is now 16 cm.

A = (1/2)*theta*r^2

A = (1/2)*(4/3)*16^2

A = (2/3)*256

A = 512/3

The area of sector COD is 512/3 square cm. Let n = 512/3.

-----------------------

The last thing to do is subtract the values of m and n to get the area we want.

blue area = (area of sector COD) - (area of sector AOB)

blue area = n - m

blue area = 512/3 - 128/3

blue area = (512-128)/3

blue area = 384/3

blue area = 128 square cm

Answer:

C 1 5

Step-by-step explanation:

that's ur answer I hope it's correct

Answer:

your answer would be 2

Step-by-step explanation:

12.80= 9.80 + 1.50x

3= 1.50x

x=2

Answer:

Its 35>x89-2 for part A

Answer:

5

Step-by-step explanation:

5

Answer:

If they have 90$ to spend between the 10 people they can each 9 dollars to eat lunch with

Step-by-step explanation:

90

÷10

_____

9

Answer:

A) x 11, y 22

B) y -1,  x -5

C)  11x^2 4y^2---> +1

Step-by-step explanation:

For C combine like terms.

Answer:

3 inches

Step-by-step explanation:

Answer:

3/2 or 1 1/2

Step-by-step explanation:

We are told that:

Obasi earns 150% of his regular hourly wage while working overtime

The fraction of his regular hourly wage that Obasi earns while working overtime is written as:

150%

= 150/100

= 15/10

= 3/2

= 1 1/2

The fraction of his regular hourly wage that Obasi earns while working overtime is 3/2 or 1 1/2

Answer:

17[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Answer:

the estimation one

two numbers written in certain order

Step-by-step explanation:

Answer:

I dunno the answer so imma just say this: use

Parenthesis

Exponents

Multiplication

Division

Adding

Subtracting

Step-by-step explanation:

PEMDAS

UwU

Answer:

needs more info or at least a picture

Step-by-step explanation:

Answer:

[tex]\displaystyle m=\frac{-2}{11}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-7, 0)

Point (4, -2)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

17 :) your welcome

Step-by-step explanation:

Answer:

8.66 x 10 4        the 4 is a tiny number

Step-by-step explanation: