what is equivalent to the following expression:
2(- a + 5) – 3 (a + 5b-2)+b (6-a)

Answers

Answer 1

From the information given, it can be inferred that the expansion of the equation will be 5a - 9b + 16 - ab.

= 2(- a + 5) – 3 (a + 5b-2)+b (6-a)

We've to expand the functions and this will be:

= -2a + 10 - 3a - 15b + 6 + 6b - ab

Collect like terms

= - 2a - 3a - 15b + 6b + 10 + 6 - ab

= -5a - 9b + 16 - ab

Therefore, the expression is equivalent to 5a - 9b + 16 - ab.

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Related Questions

Shelly has a plan to save $500 for a trip that is 8 weeks away. She already has $50 in her
account. How much will she need to save weekly to meet her goal?

Answers

Answer:

She will still need about 450$

Step-by-step explanation:

So from what I have learned, she will need to work in order to get the money, but even when she is working, she may have expenses to pay and she may not make it, but she will because she can do loans and when she earns the money from loans, then she can pay, then she may have left over money she can use while on trip.

I don’t know but it’s about 400 or 450

A phone company is offering several different prepaid data plans.


Prepaid Single Phone Plan Prepaid Family Plan
$30 for 1 GB $30 for 1 GB
$35 for 6 GB $40 for 6 GB
$45 for 16 GB $50 for 16 GB
$65 for Unlimited Data $70 for Unlimited Data

Which of the following deals has the cheapest price per GB?

A.
Prepaid Single Phone Plan $35 for 6 GB

B.
Prepaid Single Phone Plan $45 for 16 GB

C.
Prepaid Family Plan 1 Person $30 for 1 GB

D.
Prepaid Family Plan 1 Person $50 for 16 GB

Answers

The data plan that has the cheapest deal is given by the ratio of the data

plan price to the GB allocated.

The deal that has the cheapest price per GB is B. Prepaid Single Phone Plan $45 for 16 GB.

The given phone data plans are;

[tex]\begin{tabular}{|l|cl|}&Prepaid Single Phone Plan&Prepaid Family Plan\\ a&\$30 for 1 GB &\$30 for 1 GB\\b& \$35 for 6 GB & \$40 for 6 GB\\ c&\$45 for 16 GB&\$50 for 16 GB\\d & \$65 for Unlimited Data & \$70 for Unlimited Data\end{array}\right][/tex]

The price per GB are;

Plan a = $30 ÷ 1 = $30 per GB

Plan b = $35 ÷ 6 = $5.8[tex]\overline 3[/tex] per GB and $40÷ 6 = $6.[tex]\overline 6[/tex] per GB for Family Plan

Plan c = 45 ÷ 16 = $2.8125 per GB and $3.125 per GB

Plan d = $65 for Unlimited Data = 65 ÷ ∞ ≈ 0;  $70 for Unlimited Data = 0

Therefore, the plan with the cheapest price per GB from the given option is option B. Prepaid Single Phone Plan $45 for 16 GB.

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Answers

For the first one x= 10

[tex](1)... \frac{x}{5} = 2 \\ x = 5 \times 2 \\ x = 10 \\ (2).. \frac{a}{3} + 1 = 3 \\ \frac{a + 3}{3} = 3 \\ a + 3 = 9 \\ a = 9 - 3 = 6 \\ (3) \: \: \frac{p}{4} - 1 = 2 \\ \frac{p - 4}{4} = 2 \\ p - 4 = 8 \\ p = 8 + 4 = 12[/tex]

[tex](4) \frac{2x}{5} = 7 \\ 2x = 35 \\ x = \frac{35}{2} = 17.5[/tex]

The angle of elevation to a nearby tree from a point on the ground is measured to be
73°. How tall is the tree if the point on the ground is 28 feet from the tree? Round
your answer to the nearest tenth of a foot if necessary.

Answers

Answer:91.6

Step-by-step explanation:

The height of the tree if the point on the ground is 28 feet from the tree is 91.5 ft.

The angle of elevation is given 73°. The distance between the point on the ground and the tree is 28 feet.

What is a trigonometric function?

In mathematics, the trigonometric function is a function that deals with the sides of the right-angled triangle and angles.

sin, cos, tan, cosec, sec, and cot are the basic function of trigonometric.

We know that tan Ф = perpendicular / Base

tan 73° = h / 28

tan 73° × 28 = h

3.27 × 28 =h

h = 91.5 ft

Therefore, the height of the tree if the point on the ground is 28 feet from the tree is 91.5 ft.

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c. What variable will be eliminated when the equations are combined after
the multiplication? (1 point)

Answers

Answer: The variable that will be eliminated when the equations are combined after the multiplication is y.

Step-by-step explanation: Happy to help :D

The graph represents the money collected at the movie theater on Saturday. Find the domain when the maximum number of people allowed in the movie theater is 50 people.
A. 40 ≤ x ≤ 140
B. 0 ≤ y ≤ 50
C. 40 ≤ y ≤ 140
D. 0 ≤ x ≤ 50

Answers

It is D
You welcome

An appropriate tip for a waiter at a restaurant is at least 15%. For a tab of $20, how much money should be left, including tip?

Answers

$23, a $20 bill plus $3 tip

Please help I have semester exams :(
M is the midpoint of segment AT.
Solve for X and AM

Answers

Answer:

x=2

Step-by-step explanation:

5x=3x+4

5x-3x=4

2x=4

x=4/2

x=2

All the best for ur exams .........Mine are going on too btw.......

A zookeeper is monitoring the population of birds. The flock needs to have exactly three times more females than males to thrive, and the zoo only has room for a maximum of 20 male birds. Let x represent the number of male birds and y represent the number of female birds. Write the constraints to represent a thriving population of birds at the zoo. X > 0 and y > 0 0 < x ≤ 20 and y > 60 x > 0 and y < 20 0 < x ≤ 20 and 0 < y ≤ 60.

Answers

The correct option is D.[tex]0< x\leq 20[/tex] and [tex]0< y\leq 60[/tex].

Given,  [tex]x[/tex] represent the number of male birds and  [tex]y[/tex] represent the number of female birds.

The flock needs to have exactly three times more females than males to thrive.  

So, in equation form we have,

[tex]y=3x[/tex]........(1)

Since, The zoo only has room for a maximum of 20 male birds.

So, we can write the inequality for [tex]x[/tex] as,

[tex]0< x\leq 20[/tex]......(2)

Since The maximum number of male birds is 20, so for [tex]x=20[/tex]

y will be,

[tex]y=3\times 20\\[/tex]

[tex]y=60[/tex]

Hence, The maximum number of female birds is 60.

So, we can write the inequality for [tex]y[/tex] as,

[tex]0< y\leq 60[/tex]

Hence the required constraints are [tex]0< x\leq 20[/tex] and [tex]0< y\leq 60[/tex].

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Answer:d

Step-by-step explanation: did the test

The model represents x2 â€" 9x 14. An algebra tile configuration showing only the Product spot. 24 tiles are in the Product spot: 1 is labeled x squared, 9 are labeled negative x, and 14 are labeled. Which is a factor of x2 â€" 9x 14? x â€" 9 x â€" 2 x 5 x 7.

Answers

The factors of the given model are (x+2) and (x+7)

Given the representation of the model expressed as;

[tex]x^2+9x+14[/tex]

To get the factors, we will factorize the given quadratic function as shown:

[tex]g(x) = x^2+2x+7x+14[/tex]

Group the functions to have;

[tex]g(x) = (x^2+2x) + (7x+14)\\[/tex]

Factor out the GCF from both parenthesis:

[tex]g(x) = x(x+2)+7(x+2)\\g(x)=(x+2)(x+7)[/tex]

Hence the factors of the given model are (x+2) and (x+7)

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When Brianna plays solitaire, she keeps track of how many times she wins and loses. She has won
2
games for every 3 that she has lost. If Brianna has won 18 games, how many games has she played in all?
games

Answers

Brianna has played 27 games in total

What is 12 times 135?

Answers

the answer for 135 times 12 is 1620

Answer:

1620

Step-by-step explanation:

u can time 12 by 135 or divide them

what's the Answer ?

[tex] \tiny\sf{6 + 6 \div 3}[/tex]

Answers

Answer: 8

Step-by-step explanation:

PEMDAS

division first

6 + 2

8

Answer:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Step-by-step explanation:

6/3 = 2

6+2 = 8

HAVE A NICE DAY

Solve |6x + 3| = 27.
A. x = 4 and x = -5
B. x = -4 and x = -5
C. x = -4 and x = 5
D. x = 4 and x = -4.

Answers

Answer:

it's d

.

hope I helped! I need to write more words so I can send this

Answer:

The answer is A

Step-by-step explanation:

|6x + 3| = 27

Use the definition of absolute value

6x + 3 = 27

6x + 3 = -27

Subtract three from both sides of the equation.

6x = 24

6x = -30

Divide both sides by 6.

x = 4

x = -5

So:

x = 4, -5

A map is drawn using a scale of 1 centimeter to 25 kilometers.
What actual distance is represented by a map length of 3.2 centimeters?

Answers

1cm = 25km

3.2cm = 3.2(25) km

(Whatever you multiply on the left, you multiply on the right)

3.2 x 25 = 80km

A camping leader bought the items listed in the table for his team.
What is the average cost of an item in his purchase?

$4.55
$5.93
$6.25
$6.35

Answers

Answer:

5.93

Step-by-step explanation:

6 x 9.45 = 56.7

10 x 6.95 = 69.5

14 x 5.50 = 77

9 x 3.10 = 27.9

56.7 + 69.5 + 77 + 27.9 = 231.1

6 + 10 + 14 + 9 = 39

231.1 / 39 = 5.925 = 5.93

Find the diameter of a circle whose Circumfrence is 66 m​

Answers

Answer:

21.00845

Step-by-step explanation:

πD = 66m

D = 66x 7/22

D = 21m is your answer brainlist me plz

What type of angles are these?

Answers

Answer:

7. Consecutive Interior Angles that are Supplementary

8. Alternate Exterior Angles that are Congruent

9. Alternate Exterior Angles that are Congruent

10. Alternate Exterior Angles that are Congruent

11. Same Side Exterior Angles that are Supplementary

12. Consecutive Interior Angles that are Supplementary

Step-by-step explanation:

Not sure if I even got them in the correct order, my apologies. The picture provided was a bit hard to read.

Correct me if I am incorrect.

Help me :) Please and Thanks

Answers

Answer:

0.65

Step-by-step explanation:

the number is greater than 0.5 and less than 7, that would usually be 0.6 but since it has two decimal places, it can be 0.61 to 0.68 since 0.69 would be the largest

PLEASE HELP ME GUYS!!

Answers

this is your answer hope it's helpful for you

The pentagons ABCDE and JKLMN are similar find the length x of JK

Answers

i did the answer to this before but its 8

Answer:

x = 8

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are in proportion , that is

[tex]\frac{JK}{AB}[/tex] = [tex]\frac{KL}{BC}[/tex] , substitute values

[tex]\frac{x}{4}[/tex] = [tex]\frac{6}{3}[/tex] = 2 ( multiply both sides by 4 to clear the fraction )

x = 8

How many meters are in 28% of 15 km?
Explanation Please with proportions.
I will reward the brainiest

Answers

Answer:

4200

Step-by-step explanation:

Answer: 4,200 meters

Step-by-step explanation:

[tex]\frac{28}{100} * 15 = 4.2 km = 4200 m[/tex]

Allison has 10 coins in dimes and nickels in her purse. The value of the coins is $0.70. Which pair of equations can be used to find the number of dimes, d, and nickels, n, Allison has in her purse?

Answers

Answer:

A lot

Step-by-step explanation:

Does this girl not have a credit card

The pair of equations is d + n = 10 and d + 5 n = 7 that can be used to find the number of dimes and nickels.

What is an equation ?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

Number of dimes = d

And number of nickels = n.

Total number of coins = 10.

Also, the value of coins = $0.70.

According to given conditions,

Since, Total number of coins is 10,

The equation can be written as,

d + n = 10

Total value of coins are = 0.70

0.1d + 0.05n = 0.70

1/10 d / 5n / 100 = 0.70

10 d + 50 n = 70

d + 5 n = 7

The required pair of equations are  d + n = 10 and d + 5 n = 7.

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Please solve this equation: 3 + 4 = 21; 2 + 5 = 14; 7 + 7 = 98; 8 + 6 = ?

Answers

Answer:

  112

Step-by-step explanation:

It appears that the relation is f(a, b) = a(a+b).

  f(3, 4) = 3(3+4) = 21

  f(2, 5) = 2(2+5) = 14

  f(7, 7) = 7(7+7) = 98

  f(8, 6) = 8(8+6) = 112

__

The symbol "+" has apparently been repurposed from its usual meaning in math. It is being used as an infix operator with two arguments. We have shown the relation above as a function f with two arguments (a, b). In our definition ...

  f(a, b) = a(a+b)

the symbol "+" has its usual meaning.

_____

Additional comment

This sort of question requires a little bit of "out of the box" thinking. It helps immensely if you're familiar with your addition and multiplication facts. Then you are in a position to recognize how the outputs may be related to the inputs.

The volume of a rectangular prism is 2x^3 - 6x^2 + 8x , and the volume of a cube is 27x^3. What is the total volume of the prism and the cube?

Answers

Answer:

[tex]\displaystyle V_{P + C} = 29x^3 - 6x^2 + 8x[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle V_P = 2x^3 - 6x^2 + 8x[/tex]

[tex]\displaystyle V_C = 27x^3[/tex]

Step 2: Find Combined Volume

[Set up] Add:                                                                                                     [tex]\displaystyle V_P + V_C = V_{P + C}[/tex]Substitute in variables:                                                                                    [tex]\displaystyle V_{P + C} = 27x^3 + 2x^3 - 6x^2 + 8x[/tex]Combine like terms:                                                                                        [tex]\displaystyle V_{P + C} = 29x^3 - 6x^2 + 8x[/tex]

Consider these functions:
х
g(x)
h(x)
0
0 0
NO
6
What is the value of x when gh(x)) = 4?
O A 0
OB. 2
OC. 4
OD 5

Answers

I think the answer might be B

Not drawn
to scale
(x - 2)cm
D
The diagram shows two joined rectangles.
The total area of the compound shape
ABCDEF is 36 cm
2x cm
c
By considering the areas of the two rectangles,
show that 2x2 - 5x - 18 = 0 and hence find B
the value of length AB.
x cm
A
+
(x - 4)cm
Note: Please make sure your final line only shows your final answer written as AB = ...

Answers

First find the areas of the two separate rectangles where:

Area of rectangle = length x width

Area of the small rectangle = x(x–4)

Area of small rectangle = [tex]x^{2} -4x[/tex]

Area of big rectangle = (x–2)(2x+x)

Area of big rectangle = (x–2)(3x)

Area of big rectangle = [tex]3x^{2} -6x[/tex]

The total area of the compound shape is 36, therefore:

[tex]3x^{2} -6x +x^{2} -4x=36[/tex]

[tex]4x^{2} -10x-36=0[/tex] (collecting like-terms and by bringing the +36 to the other side)

By dividing this by 2, you get:

[tex]2(2x^{2} -5x-18)=0[/tex]

[tex]2x^{2} -5x-18=0[/tex]

To find the length of AB (x), solve the quadratic by either factorising, completing the square or by using the quadratic formula, etc to solve for x.

[tex]2x^{2} -5x-18=0[/tex]

[tex](2x-9)(x+2)=0[/tex]

[tex]x=\frac{9}{2}[/tex]

[tex]x=-2[/tex]

However, a length cannot be negative, so x must be [tex]\frac{9}{2}[/tex] or 4.5cm, so length AB = 4.5cm.

Hope this helps :)

Help help help math nath

Answers

Answer:

12

Step-by-step explanation:

plug in -7 where x is

5 - (-7) = 12

Answer:

12

Step-by-step explanation:

plug in -7 where x is

5 - (-7) = 12

It's pretty simple!

I hope this helps you

Commercial agents earn 5% of the cost of each product they sell. If an agent earns
S2000 for selling a product, what was the cost of the product?

Answers

Based on the information the cost of the product is $40,000.

Given:

Percentage earn=5% or 0.05

Amount earned=$2,000

Let x represent the cost of the product

Hence:

Formulate

.05x = $2000  

Divide both sides by .05

x=$2,000/.05

x=$40,000

Inconclusion  the cost of the product is $40,000.

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If f(x) = -3x - 5 and g(x) = 4x - 2, find (f - g)(x).
A. (f- g)(x) = -7x - 3
B. (f- g)(x) = x - 3
C. (f - g)(x) = -7x + 3
D. (f- g)(x) = x - 7

Answers

Answer:

  A.  (f-g)(x) = -7x -3

Step-by-step explanation:

(f -g)(x) = f(x) -g(x) = (-3x -5) -(4x -2)

  = -3x -5 -4x +2

  = -3x -4x -5 +2

  (f -g)(x) = -7x -3

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