Simplify
(a + 2b +30) - (40+36-5a)​

Answer:

m<1 = 118

Step-by-step explanation:

The remote angles theorem states that when one extends one of the sides of a triangle, the sum of the two non-adjacent angles is equal to the measure of the angle between the extension of the side and a side of a triangle. One can apply this theorem here by stating that

(28) + (90) = m<1

Remember, a box around an angle signifies that its measure is (90) degrees.

Solve this problem by performing the operation,

118 = m<1

Step-by-step explanation and Answer:

First, write statements! Then find out the operation. Very simple!

Number of burritos Chloe ate: 34

Number of burritos Lucy ate: 3

Number of burritos Chole ate more that Lucy: 34-3= 31

= Chloe ate 31 burritos more that Lucy.

Answer: Hello: ) ✨473 miles

Step-by-step explanation:

43 mph for 11 hours = 43×11 = 473

Answer

for number 6 it should be 459

Step-by-step explanation:

Remember you always multiply the numbers for a easy way or method u can use LxWxH=V. Lengh x Width x Height=Volume

Im so sorry if its wrong

Answer:

45%

Step-by-step explanation:

27/60 = x/100

Solve for x

x = 45

Answer:its a

Step-by-step explanation:-4.5+4.4 is -0.1 so if you add that to -6.7 you get

-6.8 + 6.8 =0

Answer:

Bedroom 2 will be considered as the Master bedroom.

Step-by-step explanation:

Area of bedroom 1 = Area of room 1 - Area of the closet 1

Area of the room 1 = Length × Width  

                               = (2.5 + 1.4) × (4.3+0.6)

                               = 3.9 × 4.9

                               = 19.11 m²

Area of closet 1 = 1.5 × 0.6

                          = 0.90 m²

Area of bedroom 1 = 19.11 - 0.90

                                = 18.21 m²

Area of bedroom 2 = Area of room 2 - (Area of bathroom + Area of Hall)

Area of room 2 = (3 + 3.1) × (2.5 + 2.4)

                         = 6.1 × 4.9

                         = 29.89 m²

Area of bathroom = 3 × 2.5

                              = 7.5 m²

Area of Hall = 1.2 × 2.4

                    = 2.88 m²

Area of bedroom 2 = 29.89 - (7.5 + 2.88)

                                 = 29.89 - 10.38

                                 = 19.51 m²

Since, area of bedroom 2 is greater than bedroom 1.

Therefore, Bedroom 2 will be considered as the Master bedroom.

Answer: D

Step-by-step explanation: right on edge :)

[tex]\mu_S[/tex] = 8.15, the mean hours of sleep Sharon and Karen get is 8.15 hours nightly.

The three main methods for identifying the average value of a set of integers are mean, median, and mode.

Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean.

The middle value in a list that is arranged from smallest to greatest is called the median.

The value that appears the most frequently on the list is the mode.

Given, Two persons 'X' and 'Y' has mean sleeping hours of 7.9 and 8.4.

Therefore, The mean sleeping hours of both combined is (X + Y)/2 which is,

= (7.9 + 8.4)/2.

= 16.3/2.

= 8.15 hours.

learn more about mean, median, and mode here :

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Answer:

57

Step-by-step explanation:

90 - 40% = 57

Answer:

The shoes would be $57

Step-by-step explanation:

To calculate percentage you use the equation:

P% x N = A

Before we use it we convert the number 40 into the tenths place of a decimal, 0.40.

Now we use it!

.40 x 95 = 38

38 would be 40%, so we remove it from the last total aka 95

95 - 38 = 57

Answer:

x ≥ 2

Step-by-step explanation:

Shaded circle means ≥ or ≤ . Since the arrow is pointing right, it's showing 2 is greater than or equal to x, meaning ≥ .

Answer:

answer in picture

Step-by-step explanation:

Answer:

it dropped 9% from last year

Answer:

25

Step-by-step explanation:

(14÷2)×5+6(3×(4+1))÷5

using BODMAS

7×5+6(3×5)÷5

=7×5+6×15÷5

=35+90÷5

=125÷5

=25

Answer:

1. (14 ÷ 2) x 5 + 6 = 41

2. {3 x (4 + 1)} ÷ 5 = 3

Step-by-step explanation:

PEMDAS. VERY IMPORTANT. THIS ACRONYM WILL HELP YOU WHEN SOLVING MULTI-STEP PROBLEMS. IF YOU DO NOT KNOW IT, SEARCH IT UP. I'LL BE USING PART OF THIS ACRONYM TO SOLVE THIS PROBLEM.

First you solve things in paratheses:

1. (14 ÷ 2) x 5 + 6 -> (7) x 5 + 6

2. {3 x (4 + 1)} ÷ 5 -> {3 x 5} ÷ 5 -> 15 ÷ 5

Then, you multiply or divide next:

1. (7) x 5 + 6 -> 35 + 6

2. 15 ÷ 5 = 3

We already have the answer to number 2, but not number one, so we will keep going. Finally, you subtract or add:

1. 35 + 6 = 41

Now you have your answers. Hope this helps!

Answer:

First Blank: 4*2 = 8

Second Blank: 6*2 = 12

Step-by-step explanation:

The common ratio for the right row is the number thats given on the opposite side of it's left row times 2

Hope this helps!

Answer:

I have no clue my guess tbh 4 to 8 and 6 to 12

Answer:

f(x) = 3x³ + x² + 22

Step-by-step explanation:

Given

f'(x) = 9x²+2x

To get f(x), we will be integrating the function

f(x) = 9x³/3 + 2x²/2 + C

f(x) = 3x³ + x² + C

at (-2,2)

2 = 3(-2)³ +(-2)² + C

2 = -24 + 4 + C

2 = -20 + C

C = 2+20

C = 22

Get the required function

f(x) = 3x³ + x² + C

f(x) = 3x³ + x² + 22

Answer:

the line of symmetry is (-1,0) and the vertex is (0,4)

Step-by-step explanation:

I like to plug in all of my coordinates into a graphing calculator in order to find the answer.

Hope this helps...

Answer:

b. 366 square inches

Step-by-step explanation:

The area of a triangle is 1/2×Base×Height. There are 2 pairs of identical triangles so you multiply each equation by 2.

2×(1/2×10×12) = 120 in²

2×(1/2×18×12) = 216 in²

120 in² + 216 in² = 336 in²

Answer:

336 square units

Step-by-step explanation:

Generally, to find the area of the given quadrilateral (which is presumably a kite), one uses the following formula,

[tex]\frac{(base)*(hieght)}{2}[/tex]

In this picture, one can see that the diagonals (dotted lines that connect opposite corners) are given, but their measurements are split up as per the segments they are divided into. In order to find the lengths of each diagonal, add up the two parts. To find the area of the figure, substitute the results into the given formula to find the area,

[tex]12+12=24\\\\10 + 18 = 28[/tex]

Substitute,

[tex]\frac{24*28}{2}\\\\=\frac{672}{2}\\\\=336[/tex]

Given:

[tex]y=f(x)[/tex]

[tex]f(x)=\dfrac{1}{2}x-3[/tex]

To find:

The input when the output is – 3.

Solution:

We have,

[tex]f(x)=\dfrac{1}{2}x-3[/tex]

Substituting [tex]f(x)=y[/tex], we get

[tex]y=\dfrac{1}{2}x-3[/tex]               ...(i)

We need to find the input when the output is – 3. It means, we have to find the value of x when [tex]y=-3[/tex].

Putting [tex]y=-3[/tex] in (i), we get

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

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

[tex]0=\dfrac{1}{2}x[/tex]

Multiply both sides by 2.

[tex]0=x[/tex]

Therefore, the input is 0 when the output is -3.

Answer:

83 is still the mode

Step-by-step explanation:

The maximum possible value for the new mode is 83.

The data value that is repeated the most in the data set is called the mode of the given data set.

Given is that Mrs. Joyce calculated the class mode on her latest test. 18 students took it and the mode was 83. Three days later the four absent kids made it up and scored 77, 83, 68, and 80.

Initially, the mode of the class of 18 students is 83. This means that most of the students scored the 83 marks in the test. After four students took the test, the maximum probability that the mode will remain 83 is the highest. Also, one of the four numbers scored 83 itself.

Therefore, the maximum possible value for the new mode is 83.

To solve more questions on functions, visit the link below-

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Answer:

560 Tickets

Step-by-step explanation:

40 tickets in 30 minutes will become 80 tickets in 60 minutes (an hour)

Multiply 80 by 7 to get 560

Answer:

54 degrees

Step-by-step explanation:

So, lets go over what we know.

Angle PRS is 90 degrees(we can tell by the small square shape inside of the angle)

We also know that Angle PR is 36 degrees.

We need to find x, angle RS.

To do this, lets subtract Angle PR from Angle PRS, or 36 from 90:

90-36

=

54

Since Angle PRS - Angle PR = Anlge RS, this means:

90-36=54

So 54 is our answer!

Hope this helps!

Answer: 41 vans will be needed.

Step-by-step explanation:

There are a total of 492 campers. We know that each van can hold a total of 12 passengers.

So, simply divide 492 by 12 to get the total amount of vans needed.

492/12 = 41 vans.

Answer:

57 i think

Step-by-step explanation:

Answer:

2x2 matrix

Step-by-step explanation:

Given

Dimension of matrices A = 2x2 matrix

Dimension of matrices B = 2x1 matrix

The dimension of matrix AB can be gotten by cancelling the row of matrices 1 and column of matrices 2.

After cancelling both row and column, the remaining dimension will be 2x2 matrix. Hence the dimension of AB is 2x2 matrix

Answer:

The correct answer is 30 in.

Step-by-step explanation:

In order to find the diagonal length of the face of the suitcase, you need to use the Pythagorean Theorem, a formula used to calculate the sides of a right triangle. Since the length and width of the suitcase are 24 in. and 18. respectively, that means the diagonal length will be equal to [tex]\sqrt{24^2+18^2}[/tex] = [tex]\sqrt{576+324}[/tex] = [tex]\sqrt{900}[/tex] = 30 inches.

Answer:

3?

Step-by-step explanation: