PLZ HELP QUICK!!! A restaurant catered a party for 40 people. A child’s dinner (c) cost $11 and an adult’s dinner (a) cost $20. The total cost of the dinner was $728. How many children and adults were at the party? Use the table to guess and check.

Answer:

The correct option is;

pH = 4.1

Step-by-step explanation:

The given information are;

The hydrogen ion [H⁺] concentration in tomato juice = [tex]10 ^{-4.1}[/tex]

The pH of a solution = -㏒{H⁺] =  -㏒( [tex]10 ^{-4.1}[/tex]) = -(-4.1) × ㏒(10) = 4.1

The pH of the of the tomato juice = 4.1

The pH is the term used to refer to the acidity of water with the range of pH values ranging from 0 to 14 where pH values of a solution lesser than 7 are considered acidic while pH values above 7 indicate a basic solution.

Answer:

D

Step-by-step explanation:

If I estmaite the answer from 81% to 80%, then 80*2=160. 160/2=80. 80% to 81 percent.

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Hope this helps you...

RU is a diameter, so the two equations make half a circle which is 180 degrees.

24x+5 + 10x+5 = 180

Combine like terms:

34x + 10 = 180

Subtract 10 from both sides:

34x = 170

Divide both sides by 34

X= 5

RS= UV

RS = 10x +5

Replace x with 5

RS = 10(5) + 5 = 55

Answers:

X = 5

RS = 55

Answer: x=14

Step-by-step explanation: The total is 180 degrees. The right angle is 90, the given angle is 76, so x is 14.

Answer:

a) Each friend gets 12 sweets

b) There is 1 sweet left

Step-by-step explanation:

When you divide 49 by 4 you will get 12 with a remainder 1.

49 ÷ 4 = 12 R1

The remainder is the left over while the total result is how much each friend gets.

Answer:

A) 12

B) 1

Step-by-step explanation:

49 cannot be divided equally among the 4 friends but 48 can be divided.

A) So,

48/4 = 12 sweets

Each friend gets 12 sweets

B) 1 sweet is left

Answer:

?=3

Step-by-step explanation:

a= 3/5 b - 7

Answer:

the number that should be in the green box is 3

Step-by-step explanation: since it is three-fifths, in numerical way, it should be written as 3/5..

7 less than three fifths of b is a gives 3/5b-7=a

Answer: There is one solution, -20

Step-by-step explanation:

[tex]-6(x+7)=-4x-2\\\\Distribute\\\\-6x-42=-4x-2\\\\Add(6x)\\\\-42=2x-2\\\\Add(2)\\\\-40=2x\\\\x=-20[/tex]

There is one solution, -20

Hope it helps <3

Answer:

Step-by-step explanation:

Solution,

[tex] - 6(x + 7) = - 4x - 2[/tex]

Distribute -6 through the parentheses

[tex] - 6x - 42 = - 4x - 2[/tex]

Move variable to L.H.S and change its sign

[tex] - 6x + 4x - 42 = - 2[/tex]

Move constant to R.H.S and change its sign

[tex] - 6x + 4x = - 2 + 42[/tex]

Collect like terms

[tex] - 2x = - 2 + 42[/tex]

Calculate the sum

[tex] - 2 x = 40[/tex]

Divide both sides of the equation by - 2

[tex] \frac{ - 2x}{ - 2} = \frac{40}{ - 2} [/tex]

Calculate

[tex] x = - 20[/tex]

Hope this helps..

Good luck on your assignment..

Answer:

Step-by-step explanation:

if x+3 is a factor, then -3 is a root of expression, and the remainder would be 0

calculating remainder:

[tex]-3(-3)^3+6(-3)^2+6(-3)+9=-3\cdot(-27)+6\cdot9-18+9=\\\\=81+54-9=126[/tex]

Answer:

The width (side perpedicular to the wall of the werehouse):  x = 30 m

The lenght (side parallel to the wall of the werehouse):  y = 60 m

Step-by-step explanation:

x - the width of the fenced area

Randy has 120 m of fencing so for the lenght remain (120-2x) m of fencing:

y = 120 - 2x

Area of the fencing:  A = x•y

A(x) = x•(120 - 2x)

A(x) = -2x² + 120x              ←  quadratic function

The maximum value of quadratic function occurs at:  [tex]x=-\frac b{2a}[/tex]

a = -2     b = 120

[tex]x=-\frac b{2a}=-\frac{120}{2\cdot(-2)}=-\frac{120}{-4}=30[/tex]

y = 120 - 2•30 = 60

Answer:

4 ( x-1)^2

Step-by-step explanation:

4x^2 − 8x + 4.

Factor out the greatest common factor

4( x^2 -2x+1)

Factor inside the terms

4( x-1) (x-1)

4 ( x-1)^2

Answer:

4(x-1)(x-1)

4(x^2-2x+1) C

Step-by-step explanation:

4x^2 − 8x + 4 common factor 4

4(x^2-2x+1)

4(x-1)(x-1) or (4x-4)(x-1)

Answer:

C and D.

Step-by-step explanation:

I am guessing that he wants to find if 2 is a rational number by comparing it to  the fraction [tex]\frac{\sqrt {2}}{1}[/tex]

There are a couple of reasons why Mark is not correct:

1. A number is rational only if it can be written as a fraction made up of the numerator and denominator as integers.

2. The fraction [tex]\frac{\sqrt {2}}{1}[/tex] is not equal to 2, so, he is wrong.

So, C and D would be correct.

NOTE: In case I misinterpreted the question, use 1. to judge if it is rational or not, you should get your answer.

Answer:

Mark is not correct because a fraction is rational only if the numerator and the denominator are both integers.​

Step-by-step explanation:

This is the correct answer

brainliest pls

Answer:

(2 × 9j) + (2 × 5)    AND     18j + 10  

Step-by-step explanation:

=> 2(9j+5)

Applying distributive property to expand the brackets

=> (2 × 9j) + (2 × 5)         ←  1st Expression

=> 18j + 10                       ← 2nd Expression

Answer:

The cost is $43.2

Step-by-step explanation:

The first thing to do here is to calculate the amount of energy consumed.

From the question, we are told that this is;

Power * Time

From the question, power = 1600 watts

Time = 9 hours

So amount of energy consumed = 1600 watts * 9 hours = 14,400 watts hour

It should be known that energy is measured in Kilowatts hour ; So therefore 14,440 watts hour is 14,440/1000 kwh = 14.4 kwh

Now, the cost per unit of energy is $3.00 per kwh

So the cost of using 14,400 watts hour would be 14.4 * 3 = $43.2

Answer:

Infinitely many solutions.

Step-by-step explanation:

y = -6x + 2

Add 6x to both sides

6x + y = 2

-12x - 2y = -4

Divide each term by -2

6x + y = 2

Since both equations are actually exactly the same, this linear system will have infinitely many solutions.

Hope this helps!

Answer:

0.08, 4, 0.12

Step-by-step explanation:

0.08, 4, 0.12

Answer:

1

Step-by-step explanation:

Factors of 9 are:

1, 3, 9

Factors of 20 are:

1, 2, 5, 10, 20

The greatest common factor is 1.

Answer:

£60

Step-by-step explanation:

Given that

The cost after reduction  = £54

So, 90% = £54

We have to find 100%

To do so, find 10% and ,multiply that by 10

90% = £54

10% = 54/9 = £6

1005 = 6x10 = £60

Hope this helps,.

Please mark brainiest

Answer:

0

Step-by-step explanation:

To solve this equation, first find out 4y, which equals 16. Then do the full equation, 16-16=0.

Answer:

Let 16-4y=0

Substracting 16 on both sides

16-16-4y=-16

-4y=-16

4y=16

y=4

Rebutting the value of y

=16-4(4)

=16-16

=0

Step-by-step explanation:

I hope this will help you :)

Answer:

There is no specific linear equation for this scenario because there is only one possible length for the pole.

Step-by-step explanation:

Answer:

6A) i) 5 and 3 product is 15

ii) (-5) and (-3) product is 15

6B. The product of 5·i and 3·i is -15

6C. When two or more real factors are multiplied and they have the same sign, the product is positive

Step-by-step explanation:

6A. To examples that support Francisco's statement are;

Given the factors that have the same sign;

i) 5 and 3 both positive

ii) (-5) and (-3) both negative

The products of each of the two factors are therefore;

5 × 3 = 15 (Positive product)

(-5) × (-3) = 15 (Positive product)

6B. An example that refutes Francisco's claim is the product of two imaginary numbers 5·i and 3·i where i = √(-1) as follows;

5·i × 3·i = 15·i² = 15×i×i = 15 × √(-1) ×√(-1) = 15×(√(-1))² = 15 × (-1) = -15

Therefore;

5·i × 3·i = -15 which is a negative number and therefore refutes Francisco's claim

6C. Francisco could rewrite his statement as follows;

When two or more real factors are multiplied and they have the same sign, the product is positive

To make it always true.

Answer:

x=133 degrees

Step-by-step explanation:

The diagram is drawn and attached below.

Now, AB is a straight line.

[tex]\angle ACD+ \angle DCB =180^\circ $ (Linear Postulate)\\47^\circ+x^\circ=180^\circ\\x^\circ=180^\circ-47^\circ\\x^\circ=133^\circ[/tex]

Answer:

Option A is the correct option.

Step-by-step explanation:

[tex] \frac{ {x}^{5} + 18 {x}^{2} - 27x }{x + 3} [/tex]

Factor out X from the expression

[tex] \frac{x( {x}^{4} + 18x - 27)}{x + 3} [/tex]

Add and subtract [tex]3 {x}^{3} [/tex]

[tex] \frac{x( {x}^{4} + 3 {x}^{3} - 3 {x}^{3} + 18x - 27)}{x + 3} [/tex]

Write 18x as a difference

[tex] \frac{x( {x}^{4} + 3 {x}^{3} - 3 {x}^{3} - 9 {x}^{2} + 9 {x}^{2} + 27x - 9x - 27 }{x + 3} [/tex]

factor out [tex] {x}^{3} [/tex]from the expression

[tex] \frac{x( {x}^{3} (x + 3) - 3 {x}^{3} - 9 {x}^{2} + 9 {x}^{2} + 27x - 9x - 27) }{x + 3} [/tex]

Factor out [tex] - 3 {x}^{2} [/tex] from the expression

[tex] \frac{x( {x}^{3} (x + 3) - 3 {x}^{2}(x + 3) + 9 {x}^{2} + 27x - 9x - 27) }{x + 3} [/tex]

factor out 9x from the expression

[tex] \frac{x( {x}^{3}(x + 3) - 3 {x}^{2} (x + 3) + 9x(x + 3) - 9x - 27 }{x + 3} [/tex]

Factor out -9 from the expression

[tex] \frac{x( {x}^{3} (x + 3) - 3 {x}^{2} (x + 3) + 9x(x + 3) - 9(x + 3)}{x + 3} [/tex]

factor out x+3 from the expression

[tex] \frac{x(x + 3)( {x}^{3} - 3 {x}^{2} + 9x - 9) }{x + 3} [/tex]

Reduce the fraction with X+3

[tex]x( {x}^{3} - 3 {x}^{2} + 9x - 9)[/tex]

Distribute X through the parentheses

[tex] {x}^{4} - 3 {x}^{3} + 9 {x}^{2} - 9x[/tex]

hope this helps...

Good luck on your assignment...

Answer:

see explanation

Step-by-step explanation:

Given x = 12, y = 144

We can see that y is 12 times the value of x, thus

(a)

y = 12x

(b)

when x = 7, then

y = 12 × 7 = 84

Answer:

[tex]\frac{\pi }{2}[/tex]

Step-by-step explanation:

Since the arc is [tex]\frac{1}{4}[/tex] of the circumference, then

central angle = [tex]\frac{1}{4}[/tex] × 2π ← angle in whole circle

central angle = [tex]\frac{2\pi }{4}[/tex] = [tex]\frac{\pi }{2}[/tex]

Answer:

B. [tex]\frac{\pi }{2}[/tex] radians

Step-by-step explanation:

Edge 2021

Answer:

Answer is below

Step-by-step explanation:

The y-values are all real numbers because they reach every possible y-value from -∞ to ∞ on the y-axis.

Answer:

Step-by-step explanation:

The difference in sizes:

2169 - 2057 = 112 square feet

It is 10 years from 2000 to 2010

112:10 = 11.2

Answer:

C

Step-by-step explanation:

Answer: 36

Step-by-step explanation:

Let the no. of biscuits be x

Peanuts will be 1/3x

So,

1/3x + 12 + 12 = x

1/3x + 24 = x

x + 72 = 3x

x-3x = -72

x = 72/2 = 36

Peanut biscuits will be 1/3 * 36 = 12

Total no. of biscuits baked were 12+12+12 = 36

Answer:

Option (i)

Step-by-step explanation:

{2} has only 1 subset i.e. {2} and no other subset. While { } or ∅ has no subset.