Solve the linear equation x+4+3x=72 state the property that justifies your first step and why you chose it.

Answer:

280 ml as a percentage of 140 l is 0.2%

Step-by-step explanation:

∵ There is an amount of 280 ml

∵ The total amount is 140 l

→ Change the liter to milliliters using the 1st point above

∴ 140 l = 140 × 1000 = 140000 ml

∴ 140 l = 140,000 ml

→ Now divide the amount by the total, then multiply the quotient by 100%

∵ 280 ÷ 140,000 = [tex]\frac{1}{500}[/tex]

∵ [tex]\frac{1}{500}[/tex] × 100% = 0.2%

∴ 280 ml as a percentage of 140 l is 0.2%

Answer:

29

Step-by-step explanation:

[tex]f(x)=4x+9[/tex]

Substitute x = 5 in the equation.

[tex]f(5)=4(5)+9\\f(5)=20+9\\f(5)=29[/tex]

Therefore, the answer is 29. The third choice.

Answer:

x = 4

Step-by-step explanation:

The transversal line is perpendicular to both the parallel lines. So ,

[tex]21x+6=90\\=>21x=90-6=84\\=>x = \frac{84}{21} = 4[/tex]

The value of x is 1 unit

  • In Mathematics, rectangle and square are both four sided polygon, having all the internal angles equal to 90.The opposite sides of the rectangle are equal in length whereas in square all the sides are same which makes rectangle different from square.

  • Area of rectangle is the product of length and breadth of rectangle. Perimeter of rectangle is twice the sum of its length and breadth. Area of square is side * side and perimeter of square is 4* side.

  • Area of rectangle = l*b

Perimeter of rectangle = 2(l+b)

  • Area of square = side * side

Perimeter of square  = 4 * side

We are given that perimeter of square and rectangle is same and the side of square is 4x-1 and length of rectangle is 2x+2 and width of rectangle is 2x.

Perimeter of Square = Perimeter of rectangle

4 * (4x-1) = 2(4x+2)

16x -4 = 8x + 4

8x = 8

x = 1

The value of x is 1

Side of square = 4 – 1 = 3

Length of rectangle = 4

Breadth of rectangle = 2

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Answer:

128.67 ft

Step-by-step explanation:

Let the height of the tower be x feet.

[tex] \tan \: 65 \degree = \frac{x}{60} \\ \\ 2.1445069205 = \frac{x}{60} \\ \\ x = 2.1445069205 \times 60 \\ \\ x = 128.670415 \\ \\ x = 128.67 \: ft[/tex]

Answer:

A) 21

Step-by-step explanation:

30% of 70 is 21

Answer:

Because AC = BC

=> ️ACB is a isosceles triangle at C

=> m<A = m<B = 71°

At triangle ABC

m<A + m<B + m<ACB = 180°

=> 71° + 71° + m<ACB = 180°

=> m<ACB = 38°

We have m<ACB and m<ECD are 2 opposite angle

=> m<ECD = m<ACB = 38°

At triangle ECD

m<ECD + m<E + m<D = 180°

=> 38° + 90° + m<D = 180°

=> m<D = 52°

Answer:

1

Step-by-step explanation:

12 - 1 = 11

to solve for q all you had to do was 12-11=1 (switch 11 and one)

Hey there!

11 = 12 - q

-q + 12 = 11

SUBTRACT 12 to BOTH SIDES

-q + 12 - 12 = 11 - 12

SIMPLIFY IT!
-q = 11 - 12

-q = -1

-1q = -1

DIVIDE -1 to BOTH SIDES

-1q/-1 = -1/-1

SIMPLIFY IT!

q = -1/-1

q = 1

Therefore, your answer should be:

q = 1

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

9514 1404 393

Answer:

  22/44

Step-by-step explanation:

The probability of black is the ratio of black cards to all cards. If the Ace and 2 are removed from each suit, there will be 11 of the 13 cards remaining. 2 suits are black, for a total of 2×11 = 22 black cards. Of course there are 4 suits altogether, for a total of 4×11 = 44 total cards. Then you have ...

  P(black) = (black cards)/(total cards)

  P(black) = 22/44

_____

You are expected to be familiar with the fact that a deck of 52 playing cards consists of 4 suits: diamonds, clubs, hearts, spades. Each suit has 13 cards, identified as Ace, 2, 3, ..., 10, Jack, Queen, King. The clubs and spades are black; the diamonds and hearts are red.

Answer:

y = [tex]\frac{2}{5}[/tex] x + 2

Step-by-step explanation:

Graph below.

Answer:

y = 2/5x + 2

Step-by-step explanation:

y = mx + b

First, we find out the slope. The slope is the change in y over the change in x.

The change in y is the second y-value subtracted from the first. The first y-value is 0 and the second is 2.

0 - 2 = -2

The change in x is the second x-value subtracted from the first. The first x-value is -5 and the second is 0.

-5 - 0 = -5

The slope is the change in y over the change in x.

-2/-5 = 2/5

y = 2/5x + b

b is the y-intercept, which is the value of y when x = 0.

When x = 0, y = 2 (0,2), so b = 2.

y = 2/5x + 2

Hope this helps!

Answer:

with the tax it would be :50.03

And the percentage would be :60%

Step-by-step explanation:

Answer:

4 square units

Step-by-step explanation:

Answer:4 square units in total

Step-by-step explanation:

multiply 6 by 2/3

The value of the fourth term in a geometric sequence is 3/8.

We are meant to find the value of the fourth term in a geometric sequence for which a1 = 3- and r = 1/2.

It should be noted that the formula will be:

ar^n-1

where n = 4

r = 1/2

a = 3

Therefore, ar^n-1 = ar^(4-1) = ar³

= ar³.

= 3(1/2)³

= 3 × 1/8

= 3/8

Thw 4th term is 3/8.

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Answer: a or b on edge

Step-by-step explanation:

It’s either those

Answer: 26

Step-by-step explanation:

Okay, so... The new equation would be -2(-3)+20...

So follow the rule of PEMDAS, PEMDAS is;

Parentheses

Exponents

Multiplication

Division

Adding

and Subtracting

Since there are no equations in parentheses and no exponents, we start with multiplication. Which would be -2(-3). ANY parenthesized number beside another number means you must multiply them.

-2(-3) = 6 because a negative multiplied by a negative is a positive..

Now we have 6 + 20 which is 26, so 26 is your answer.

Answer:

16n=16n or n=1

Step-by-step explanation:

5n + 11n = 16n       add like terms

16n = 16n               divide both sides by 16

n = 1

Answer:

16n = 16n ⇒ True

Explanation:

Add to simplify:

5n + 11n ⇒ equals 16n

So, the final answer is:

16n = 16n ⇒ True  (16n does equal 16n)

Hope this helps! :)

Answer:

Just do minus two, and you will get 27-100=-73

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

–x/4 < 7

–x < 28

x > –28

follow my account^^

Answer:

B. x > -28

Step-by-step explanation:

-x/4 < 7    =

Multiply both sides by 4

-x < 28

x > -28

Answer:

600 readers

Step-by-step explanation:

just do 100/5=20

and then 30x20=600 readers

Answer:

70

Step-by-step explanation:

|-11| becomes positive cuz its an absolute. so its just 50 +11

Answer:

70

Step-by-step explanation:

The absolute value (the two lines that the -11 are between) refers to a numbers distance from zero. So more or less just remove the negative sign and add like normal.

Answer:

+9or -9 is the answer ☺️ you

Answer:

y will be equal to 0, 9, or 1

(y=0, 9, 1)

Answer:

triangle?duh ..........

Answer:

You on? I’m bored! You- you on? I’m bored

Step-by-step explanation:

Answer:

So H have to equale to 0

and [tex]t> 0[/tex]

[tex]-4,9t^2+33,6t+4,9=0\\\Delta=33,6^2+4*4,9*4,9=1225\\\sqrt{\Delta }=35\\t=\frac{-33,6-35}{2*(-4,9)} =14s[/tex]

Step-by-step explanation:

The toy rocket will take a time of 6.8571 seconds to hit the ground.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Given that the height of the rocket (h), in meters, in terms of time (t), in seconds, is defined by a quadratic equation.

To determine the time needed for the rocket to hit the ground, that is, a time t greater than zero such that the height is zero. Now we proceed to solve the polynomial:

- 4.9 · t² + 33.6 · t + 4.9= 0

- 4.9 · (t² - 6.8571 · t - 1) = 0

- 4.9 · (t - 6.8571 ) · (t + 6.8571 ) = 0

Hence, the toy rocket will take a time of 6.8571 seconds to hit the ground.

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Answer:

Step-by-step explanation:

Let the number of buses be x and vans be y.

Equations as per given:

Substitute y and solve for x the second equation:

Then finding y:

The answer is 14 buses and 5 vans

Answer:

y=-5x-21

Step-by-step explanation:

plug in numbers using point-slope form

y-4=-5(x-5)

y-4=-5x-25

y=-5x-21

Answer:

D

Step-by-step explanation:

The answer is D. {(5,6), (6,7), (7,8), (8,9)}

A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.This means that if the object x is in the set of inputs (called the domain) then a function f will map the object x to exactly one object f(x) in the set of possible outputs (called the codomain).

A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.This means that if the object x is in the set of inputs (called the domain) then a function f will map the object x to exactly one object f(x) in the set of possible outputs (called the codomain).The notion of a function is easily understood using the metaphor of a function machine that takes in an object for its input and, based on that input, spits out another object as its output.

A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.This means that if the object x is in the set of inputs (called the domain) then a function f will map the object x to exactly one object f(x) in the set of possible outputs (called the codomain).The notion of a function is easily understood using the metaphor of a function machine that takes in an object for its input and, based on that input, spits out another object as its output.A function is more formally defined given a set of inputs X (domain) and a set of possible outputs Y (codomain) as a set of ordered pairs (x,y) where x∈X (confused?) and y∈Y, subject to the restriction that there can be only one ordered pair with the same value of x. We can write the statement that f is a function from X to Y using the function notation f:X→Y.

Gina—her standardized score is higher than Colleen’s. The person who did better relative to their peers is Gina and this is because her standardized score is higher than Colleen

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

For Gina

Gina took the SAT in 1994 and scored 500 on the Math test.

For Math scores, the mean under the old scale in the 1990s was 470 and the standard deviation was 110.

x = 500

μ = 470

σ = 110

Hence, the z score is given as:

z = 500 - 470/110

z = 0.27273

Gina's z or standardized score is 0.27273

For Colleen

Her cousin Colleen took the SAT in 2016 and scored 530 on the Math test.

In 2016 the mean was 510 and the standard deviation was 103.

x = 530

μ = 510

σ = 103

Hence, the z score is given as:

z = 530 - 510/103

z = 0.19417

Colleen's z or standardized score is 0.19147

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