2p - 3q - 4r + 6r -2q + p

Answer:

Her regular weekly pay is $62 and her annual salary is $3100.

Step-by-step explanation:

Given that her hourly wage=$15.50 / hour

As she works 40 hours per week, so her weekly pay = 15.50 x 40 = $62/ week.

If she works 50 weeks each year, so her yearly pay = 62x50=$3100 /year.

Hence, her regular weekly pay is $62 and her annual salary is $3100.

Answer:

The explicit formula is a[tex]_{n}[/tex] = 5 - 6n

Step-by-step explanation:

The explicit formula of the arithmetic sequence of the recursive formula

a[tex]_{1}[/tex] = first term; a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] + d is a[tex]_{n}[/tex] = a + (n - 1)d, where

∵ The recursive formula is a[tex]_{1}[/tex] = -1 and a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] - 6

→ Compare it with the formula above

∴ a = -1 ⇒ 1st term

∴ d = -6 ⇒ common difference

→ Substitute them in the form of the explicit formula

∵ a[tex]_{n}[/tex]  = -1 + (n - 1)(-6)

∴ a[tex]_{n}[/tex] = -1 + (-6)(n) - (-6)(1)

∴ a[tex]_{n}[/tex]  = -1 + -6n - (-6)

∴ a[tex]_{n}[/tex] = -1 - 6n + 6

→ Add the like term

∴ a[tex]_{n}[/tex] = 5 - 6n

∴ The explicit formula is a[tex]_{n}[/tex] = 5 - 6n

The answer is A, square root of 29

Answer:

27.72

Step-by-step explanation:

Answer:

12 pounds of oranges would cost $27.72

PLEASE CHECK, THANK YOU

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Answer:

x = √145

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Identify Variables

Leg a = 12

Leg b = x

Hypotenuse c = 17

Step 2: Solve for x

Answer:

35

Step-by-step explanation:

Answer:

[tex]x=35[/tex]

Step-by-step explanation:

[tex]3x-24=81\\3x=105\\x=35[/tex]

Answer: y = -1/3x - 1

Step-by-step explanation:

Slope-intercept = y = Mx + b

M = slope

B= y

Answer:10 presents fell off

Step-by-step explanation: to find 2/6 we can start with finding 1/6 because it’s easier. To do that we divide 30 by 6 which equals 5. because 5 is 1/6 5x2 is 2/6 so the answer is 10

Answer:

you put 30 over 1 than you then you 2 over 6 then subtract then

Step-by-step explanation:

so it would look like this

30/1 - 2/6=

Answer:

Answer:

D. More than half the length of AB ; 2 intersections needed

Step-by-step explanation:

Bisection implies dividing a given segment or angle into two equal halves.

To bisect AB, open the radius of the compass more than half the length of AB. With center A, describe an arc at the upper region of AB and below AB. Now, using B as the center, draw a second arc upward and downward to intersect the initial arcs at a point. Join the two points of intersection with a line passing through AB. Thus, AB has been bisected.

Step-by-step explanation:

Answer:

M=54.62

O=59.69

N=65.68

Step-by-step explanation:

M is the smallest, and N is the largest:)

you can use cossincalc . com !!

Answer:

33.333333333333%

Step-by-step explanation:

Answer:

it is $16.40

Step-by-step explanation:

Answer:

Here's how to subtract 3/8 from 8/12:

8

12

−

3

8

Step 1

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 8 by 8, and get 64.

Then we multiply 3 by 12, and get 36.

Next we give both terms new denominators -- 12 × 8 = 96.

So now our fractions look like this:

64

96

−

36

96

Step 2

Since our denominators match, we can subtract the numerators.

64 − 36 = 28

So the answer is:

28

96

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

28

96

÷ 2 =

14

48

Let's try dividing by 2 again...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

14

48

÷ 2 =

7

24

Let's try dividing by 2 again...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

No good. 11 is larger than 7. So we're done reducing.

There you have it! The final answer is: 0.29166666666

Answer:

10

Step-by-step explanation:

The measure of an angle∠I  is 10 degrees between the 450 cm and 640 cm sides.

The Law of Cosines (also called the Cosine Rule) is defined as it relates all three sides of a triangle with an angle of a triangle.

c² = a² + b² − 2ab cos(C)

The cosine rule, also known as the law of cosines, relates all 3 sides of a triangle with an angle of a triangle. it relates the lengths of the sides of a triangle to the cosine of one of its angles.

In the given triangle ΔHIJ,

Sides:

h = 450 m

i = 210 m

j = 640 m

The angle of ∠I  is 10 degrees between the 450 cm and 640 cm sides.

According to the cosine rule,

j² = h² + i² − 2ab cos(I)

Substitute the values in the Cosine Rule,

450² = 210² + 640² - 2(210)(640)cos(I)

After solving we get the value of  angle ∠I :

∠I = 9.56038°

Rounded to the nearest degree.

∠I = 10°

Thus, the measure of an angle∠I  is 10 degrees.

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Answer:

4 bottles of Water

Step-by-step explanation:

First, we need to find how much each water costs. So, I created this equation below.

9/12=?

The answer to the equation is .75, or 75 cents.

So, we can now make yet another equation to find the amount to buy with 3 dollars.

3/.75=?

The answer to that equation is 4.

Thus, the answer is 4 bottles of water.

Answer:

C

Step-by-step explanation:

Since the lines make a linear pair,

(5x+10)+(2x-5)=180

7x+5=180

7x=175

x=25

now, we just plug in

5(25)+10

125+10

135

Answer: -1/10

Step-by-step explanation:

Y2- Y1 over X2 - X1

-4 - - 3 over 5 - - 5

-4 + 3 over 5 + 5

-1 over 10

Answer:

A: C=45h+30

B: C=$322.50

Step-by-step explanation:

A: We'll start with the equation for the total charge. Juan is saying he will pay a one time fee of $30, meaning there is 30 dollars added to what ever the hourly wage is. This can be represented by the +30. Now if "h" represents the variable for which the hourly wage will be calculated, and he pays $45 dollars per hour this will be represented as 45h. As an example if I pay you 2 dollars per hour using the same variable "h", this would be represented as 2h. So if you worked for two hours you would get 4 dollars, this is proven by the fact the 2(2) (remeber im replacing the "h" with the hours you worked) obviously 2 times 2 is 4 proving my point. This information will give you the equation you see above.

B: Onto solving for how much Juan will pay. Now you say youre supposed to have 9 answer but this can't be true. All you need to do is plug the hours given into "h" and solve the equation. It should look something like:

C=45h+30

C=45(6.5)+30

Im using a decimal because it should be clear 1/2=0.5

C= 292.5+30

45x6.5 always go with PEMDAS, we are multiplying first. Then add 292.5 plus 30

This results in the answer of:

C=$322.50

Answer:

Red

Step-by-step explanation:

Y intercept is 1

Slope is -2 (line is going down so the slope is negative)

Answer:

the yellow box

Step-by-step explanation:

Answer:

A circle inscribed inside a triangle is called the incenter, and has a center called the incenter. A circled drawn outside a triangle is called a circumcircle, and it's center is called the circumcenter.

Step-by-step explanation:

Answer:

The new figure is not congruent with the old figure. They are similar

Step-by-step explanation:

Transformations

We are given the vertices of rectangle ABCD and the vertices of rectangle A'B'C'D'.

It can be clearly noted all the coordinates of the second rectangle are half the value of the coordinates of the first rectangle.

This type of transformation corresponds to a dilation across the origin with a scale factor of 1/2.

Since the transformed rectangle is smaller than the first one, it cannot be congruent with it.

But since all the dimensions of this smaller rectangle are proportional to those of the bigger rectangle, they are similar.

Answer:

x ≤ ∞

Step-by-step explanation:

Let x represent the height of the space probe above sea level in meters.

Initially, before launch, the space probe is launched from a platform that is just above 100 meters below sea level, hence:

x < -100 (the negative sign shows that it is below sea level).

After launch, The probe is expected to travel into deep space indefinitely. Therefore the height of the probe after it is launched is represented by the inequality:

x ≤ ∞

Answer:

x=5

Step-by-step explanation:15x - 10x -2 = 23

5x= 23 = 2

5x = 5

x=5

Answer:

X=5

Step-by-step explanation:

15x - 2 = 10x + 23

5x - 2 = 23

5x = 25

x = 5

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Result, Rachel can be certain that the temperature is suitable for her cake.

Rachel cannot be certain that the temperature displayed on the oven is suitable for cooking her cake.

The manufacturer's claim of a 5% error on the displayed temperature means that the actual oven temperature can be off by 5% in either direction. To calculate the range of possible actual temperatures, we need to find 5% of 310°C. 5% of 310 = (5/100) * 310 = 15.5°C This means that the oven temperature could be 15.5°C higher or 15.5°C lower than the displayed temperature.

To find the maximum possible temperature, we add the error to the displayed temperature: 310°C + 15.5°C = 325.5°C Since the maximum possible temperature is slightly above 325°C, Rachel cannot be certain that the temperature is suitable for cooking her cake, as it needs to be cooked at a temperature below 325°C. It's important for Rachel to consider using an alternative thermometer or verifying the actual temperature with the oven manufacturer to ensure the cake is cooked at the desired temperature.

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Answer:

It's ( - 4, 5 )

Answer:

20 percentile

Step-by-step explanation:

im sorry for your loss with your bad score.