Reflect (7, 3) in (a) the x-axis and (b) the y-axis

Multiply both sides by 5

4a / 5 × 5 = 24×5

20a/5 = 120

4a = 120

Divide both sides by 4

4a/4 = 120/4

a = 30 is the answer

the answer is 230,000 because we have to look at the 3 and it is less that 5 so the 2 stays the same and the rest turns to zeros

(1/36)^n = 216

Rewrite 36 as 6^2

(1/6^2) ^n = 216

Since 36 is in the denominator, the exponent is negative

(6^-2) ^n = 216

Rewrite 216 as 6^3

(6^-2)^n = 6^3

We know that a^b^c = a^(b*c) so

6^(-2n) = 6^3

Since the bases are the same, the exponents are the same

-2n = 3

Solving for n

n =-3/2

n = -1.5

Final answer:

The value of n for which [tex](1/36)^n[/tex] equals 216 is -3/2. This is found by expressing both sides of the equation with the common base of 6 and equating the exponents, then solving for n.

Explanation:

To find the value of n for which [tex](1/36)^n[/tex]= 216, first we express 216 as a power of 6, since 36 is a power of 6 (36 = [tex]6^2[/tex]): 216 = [tex]6^3[/tex]. We can then rewrite the equation using this equivalent expression of 216 and the knowledge that 1/36 is [tex]6^-2[/tex]:

[tex](6^-2)^n = 6^3[/tex]

Using the power of a power rule, this simplifies to:

[tex]6^(-2n) = 6^3[/tex]

Since the bases are the same, the exponents must be equal:

-2n = 3

Dividing both sides by -2 to solve for n, we get:

n = -3/2

To find the number of customers without curly hair at the salon, we multiply the total number of customers by the percentage with curly hair and subtract that from the total number of customers.

To find the number of customers who do not have curly hair, we first need to determine the number of customers who do have curly hair. We know that 25% of the customers have curly hair, which is equal to 0.25. To find this number, we multiply 0.25 by the total number of customers. So, 0.25 * 644 = 161.

Since we have the number of customers with curly hair, we can subtract this from the total number of customers to find the number without curly hair. So, 644 - 161 = 483 customers do not have curly hair at Terrific Tresses hair salon.

https://brainly.com/question/34296415

#SPJ12

The given angles are known as alternate interior angles.

For line L and M to be parallel, the two given angles must be the same.

Set them to equal each other and solve for X.

7x - 7 = 4x +14

Add 7 to each side:

7x = 4x +21

Subtract 4x from each side"

3x = 21

Divide both sides by 3:

X = 21 / 3

X = 7

Answer:

7

Step-by-step explanation:

i need points

Answer:

62.5°

I hope it works for you!

Answer:

A. 4.26 in^2

Step-by-step explanation:

Step 1: Find the area of the sector DBC. Here we have to use the formula.

Area of a sector = Central Angle/360 *π[tex]r^{2}[/tex]

The area of the sector DBC = (54/360)*3.14*[tex]8^{2}[/tex]

= 30.16

Step 2: Area of segment CFD = Area of the sector DBC - Area of the ΔCBD

= 30.17 - 25.9

Area of segment CFD = 4.27in^2

Answer:

4.24 in ^2

Step-by-step explanation:

extra added: Use 3.14 for the value of π. Round your answer to the nearest hundredths if necessary.

It would be 3a+9. You want to add the like terms. To solve, first add all the "a's". You jave 5a, minus 2a, so you are left with 3a. There's only 1 whole number so just leave it be.

Answer: y = 1,337.00 + 177.00x

Explanation:

The total pay for the month that Whitney receives is a composition of the fixed salary, $1,337.00, and the commission, $177.00 one ach car she sells.

The commision, in turn is a function of the number of cars that she sells. So the composed function is the sum of two terms: the basic salary and the comissions.

The variables used are:

Hence, the function is: y = 1,337.00 + 177.00x

The answer is; 24/75 of the entire cake remained

If 2/5 of the initial cake was eaten, the 3/5 is what remained

MInu ate 1/3 of the 3/5 = 3/15

3/5 – 3/15 = 6/15 remained

Her brother ate; 1/5 of 6/15 = 6/75

6/15 – 6/75 = 24/75 remained

Answer:

x = -[tex]\frac{17n+r}{n-34}[/tex]

Step-by-step explanation:

We have to solve the equation for the value of x.

n(17 + x) = 34x - r

17n + nx = 34x - r [By Distributive property ]

17n + nx - 17n = 34x - r - 17n [subtracting 17n from both the sides of the equation]

nx = 34x - r - 17n

nx - 34x = 34x - r - 17n - 34x [Subtracting 34x from both the sides of the equation]

x(n - 34) = -(r + 17n) [Division by (n - 34) on both the sides of the equation]  

x = -[tex](\frac{17n+r}{n-34})[/tex]

This is the solution for x in terms of constants n and r is x =  17n + r/34 - n

Solving for x in the equation n(17 + x) = 34x − r

To solve for x, we begin by isolating x on one side of the equation. Given the equation:

n(17 + x) = 34x - r

First, distribute n on the left-hand side:

17n + nx = 34x - r

Next, rearrange the equation to place all terms involving x on one side:

17n + r = 34x - nx

Factor out x on the right side:

17n + r = x(34 - n)

Solve for x by dividing both sides by (34 - n):

x =  17n + r/34 - n

This is the solution for x in terms of constants n and r.

1) 15/5 = 3 .  

2) 27/3= 9

3)48/8 = 6

4) 84/7=  12

5)32/4= 8

6) 90/9 =10

7) 30/5= 6

8) 22/2 = 11

9) 60/12= 5

10) 21/3= 7

11) 44/11= 4

12) 54/6 = 9

13) 132/12 = 11

14) 70/ 10= 7

15) 99/9 = 11

HOPE THIS HELPS XD

ps. rate me brainliest

3x + 15 = 66

     -15    -15

3x =  51

Divide 51 by 3 which equals 17.

Answer:

y = 2x + 11

Step-by-step explanation:

y - 3 = 2(x + 4)

y - 3 = 2x + 8

y = 2x + 11

To convert the ratio 2.5 metres to 60 centimeters to the form 1:n we first change metres to centimeters, which gives 250 cm to 60 cm, then divide 250 by 60 to get n = 4.1667.

To find the value of n when the ratio is converted to the form 1:n, we need to express both measures in the same unit. We know that 1 metre is equivalent to 100 centimeters, so we can convert 2.5 metres to centimeters:

2.5 metres times 100 cm/metre = 250 cm

Now, we have the two measures in centimeters: 250 cm to 60 cm. Next, we divide both these numbers to find the ratio in the form 1:n.

250 cm / 60 cm = n

We simplify the ratio by dividing both numbers by 60 cm:

n = 250 cm / 60 cm = 4.1667

Therefore, the ratio of 2.5 metres to 60 centimeters expressed as 1:n is approximately 1:4.1667.

Question from Equation

A

Suppose that h (in hours) represents the number of hours that an incandescent light bulb must be left on in order to heat a very small crawlspace underneath a house. Suppose further that the wattage of the bulb will be the only factor affecting the number of hours the bulb has to stay on. Let the wattage of the Bulb be B. There is a correction factor of C that can be subtracted from the term containing h.

Write a general formula for the what the equation says.

B = 2.5h - C

B

If the wattage of the bulb is 100 and and the Correction factor is 15, how many hours does the bulb have to stay on.

100 = 2.5h - 15

115 = 2.5h

2.5h = 115

h = 46 hours

y + 4 = - 56(x - 8)

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = - 56 and (a, b) = (8, - 4)

y  + 4 = - 56( x - 8 ) ← in point-slope form

It’s a positive because 1,132,701 is greater than -47,320

Hope that helps :)

All you have to do is add 31300000+23200000 which equals 54500000. Next subtract  54500000 from 193800000 which equals 139300000. So plant 2 is 139.3 million miles away from the sun

Let Planet 2 = X

Planet 1 = X + 31.3

Planet 3 = x +(31.3+23.2) = x + 54.5

Add the 3 distances together:

x + x +31.3 + x + 54.5 = 193.8

3x + 85.8 = 193.8

Subtract 85.8 from each side:

3x = 108

Divide both sides by 3:

x = 108 / 3

X = 36

Planet 2 = 36 million miles

Planet 1 = 36 + 31.3 = 67.3 million miles

Planet 3 = 36 + 54.5 = 90.5 million miles

36 + 67.3 + 90.5 = 193.8

Answer:

Step-by-step explanation:

To solve this problem we need to apply the rule of three.

If one serving has 95 calories, then how much calories would have 2.5 servings?

[tex]2.5 \ servings \ \frac{95 \ calories}{1 \ serving}=237.5 \  calories[/tex]

Therefore, 2.5 servings have 237.5 calories.

90/18 equals 5 minutes for each window,so after 3 hours they would paint 36 windows.            180 minutes in three  hours so 180/5=36

An expression equal to 3/4 - 1/2 would be 6/8 - 2/4.

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.

The expression is given as

[tex]\dfrac{3}{4}-\dfrac{ 1}{2} = \dfrac{-1}{4}[/tex]

Also,

[tex]\dfrac{-1}{4}-\dfrac{ 1}{2} = \dfrac{3}{4}[/tex]

Any equation that equals 1/4 will work in this situation.

Learn more about expression;

https://brainly.com/question/14083225

#SPJ2

Open that attachment and that should be the answer.

Answer:

1.178 x 10^35 Joule

Step-by-step explanation:

Energy produced by sun in one second = 3.8 x 10^27 J

Energy produced by sun in a year = Energy produced by sun in one second x number of seconds in one year

According to the question, the number of seconds in one year

                                                       = 31,000,000 seconds

Energy produced by the sun in one year = 3.8 x 10^27 x 31,000,000

                                                                    = 1.178 x 10^35 Joule

Thus, the energy produced by the sun in a year is 1.178 x 10^35 Joule.

3^3 = 27

4^3 = 64

5^3 = 125

The largest cube has volume 64 cubic units, and the sides are 4 units long.

The largest cube Elena can build is of side [tex]5\;units[/tex] having a volume of [tex]64\;unit^3[/tex].

The volume of a cube is equals to the length of the side raised to the power of 3. Mathematically, [tex]V=(side)^3[/tex].

According to the question, Elena has 80 unit cubes.

So,

For [tex]side=1\;unit;\;Volume=1\;unit^3[/tex]

For [tex]side=2\;unit;\;Volume=8\;unit^3[/tex]

For [tex]side=3\;unit;\;Volume=27\;unit^3[/tex]

For [tex]side=4\;unit;\;Volume=64\;unit^3[/tex]

For [tex]side=5\;unit;\;Volume=125\;unit^3[/tex]

Hence, the largest cube Elena can build is of side [tex]5\;units[/tex] having a volume of [tex]64\;unit^3[/tex].

Learn more about cubes here:

https://brainly.com/question/23096822?referrer=searchResults

Answer:

[tex]\huge\boxed{\{x|x\in\mathbb{R},\ x<-2\}}[/tex]

Step-by-step explanation:

[tex]5>x+7\qquad|\text{subtract 7 from both sides}\\\\5-7>x+7-7\\\\-2>x\to x<-2}[/tex]

Matthew charges $25 for each haircut, and earned $325

Divide 325 with 25

325/25 = 13

13 haircuts were given.

hope this helps

13 because 325/25 = 13

ANSWER

The correct answer is A

EXPLANATION

We divide the hallway into 2 rectangles as shown in the diagram attached.

The length of the longer is 25 and the with is 5 feet.

The area of this rectangle

[tex]=25\times 5[/tex]

[tex]=75[/tex] square feet

The smaller rectangle has length 6 feet and width 12 feet

The area of the smaller rectangle

[tex]=6\times 12[/tex]

[tex]=72[/tex] square feet

Adding the two areas gives the area of the hallway

[tex]=125+72=197[/tex] square feet