Solve for x using what you know about interior angles of the shape

Answer:

40% of every gallon is from green paint.

Step-by-step explanation:

Given that Sam made 60 gallons of paint by mixing 24 gallons of green paint with 36 gallons of blue paint, to determine what part of every gallon is from green paint the following calculation must be performed:

60 = 100

24 = X

24 x 100/60 = X

2,400 / 60 = X

40 = X

Therefore, 40% of every gallon is from green paint.

Answer:

[tex]\boxed {\boxed {\sf A. \ x=1}}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]3(x+6)=21[/tex]

We want to solve for x, so we must isolate the variable by performing inverse operations to both sides of the equation.

(x+6) is being multiplied by 3. The inverse of multiplication is division. Divide both sides of the equation by 3.

[tex]\frac {3(x+6)}{3}=\frac{21}{3}[/tex]

[tex](x+6)=\frac{21}{3}[/tex]

[tex](x+6)=7[/tex]

Now 6 is being added to x. The inverse operation of addition is subtraction. Subtract 6 from both sides of the equation.

[tex]x+6-6=7-6[/tex]

[tex]x=7-6[/tex]

[tex]x=1[/tex]

We can test our solution by plugging 1 in for x in the original equation.

[tex]3(x+6)=21[/tex]

[tex]3(1+6)=21[/tex]

[tex]3(7)=21\\21=21[/tex]

This checks out (21 is equal to 21) so we know our answer is x=1.

Answer:

Step-by-step explanation:

To solve this problem, you have to use the distributive property.

Isolate the x from one side of an equation.

Distributive property:

[tex]\sf{A(B+C)=AB+AC}[/tex]

First, divide by 3 from both sides of an equation.

[tex]\dfrac{3(x+6)}{3}=\dfrac{21}{3}[/tex]

Solve.

21÷3=7

Rewrite the problem down.

x+6=7

Then, subtract by 6 from both sides.

[tex]\sf{x+6-6=7-6}[/tex]

Solve.

7-6=1

[tex]\Large\boxed{X=1}[/tex]

The solution is x=1, which is our answer.

1)correct option is b) true

2)Which of the following expressions always evaluates to true?

 correct option is d)(x > 0) && (x == 0)

given that

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Many authors make a distinction between an expression and a formula, with the former designating a mathematical object and the latter a claim about such objects.

x = 5 and y = 7

Choose the value of the following expression: (x != 7) && (x <= y)

a. false

b. true

c. 0

d. null

(5! = 7) && (5<=7)

5 ≠ 7

correct option is b) true

Suppose that x is an int variable.

Which of the following expressions always evaluates to true?

a. (x > 0) || ( x <= 0)

b. (x > 0) && ( x <= 0)

c. (x >= 0) 11 (x == 0)

d. (x > 0) && (x == 0)

a) x = 1,2,3.... || x =0,-1,-2,-3......

b)x = 1,2,3.... && x = 0,-1,-2,-3,.....

c) x = 0,1,2,3..... 11 x = 0

d) x = 1,2,3.... && x = 0

correct option is d)(x > 0) && (x == 0)

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Answer: I think it is B

Step-by-step explanation:

Sry if wrong pls don’t be mad

All 45-45-90-degree triangles have sides that are in a unique ratio. The two legs are exactly the same length.

This triangle is important because any time we're given one side of a 45-er triangle, we can figure out the other two sides.

The 30-60-90 degree triangle is half of an equilateral triangle, cut straight down the middle along its altitude. This triangle has angles of 30°, 60°, and 90°.

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Therefore , the solution of the given problem of unitary method comes out to be total amount spent by Ria £129.58.

By multiplying the value about one unit by the quantity of units required, one can apply the unit technique to solve a problem. The unit procedure is used to separate a single entity integer from a given many, to put it simply. One pen, or 400 rupees, would be needed to purchase 40 needle. There might be a common way to verify this. only one nation. Anything has a unique feature. Algebra, grid logic, and its laminates and reverse are all identical terms used to describe mathematical analysis.

Here,

Given : Ria purchases 19 books for £6.82 apiece.

Thus,

Total cost of book = 19 * 6.82

=> 129.58

Therefore , the solution of the given problem of unitary method comes out to be total amount spent by Ria £129.58.

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The volume of the cake Lani is making is 314 inches³.

Volume is defined as the amount of space a figure occupies. The formula for the volume of a cone is given by:

V = πr²h/3

where V = volume

r = radius of the base of the cone

h = height of the cone

π = 3.14

If the cone shape mold has a diameter of 10 inches, then its radius is equal to half of 10 which is 5 inches.

Plug in the values to the formula and solve for the volume.

V = πr²h/3

V = (3.14)(5 inches)²(12 inches)/3

V = 314 inches³

Hence, the volume of the cake is 314 inches³.

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Answer: No

Step-by-step explanation:

Look at the 3 numbers in the sequence,

Geometric sequence means the ratio between two consecutive numbers in the sequence is a constant (eg. 10, 5, 2.5 is a geometric sequence as the ratio is a constant at 1/2)

However, for the sequence listed above

Looking at 1st and 2nd term,

Ratio = 110/120 = 11/12

Looking at 2nd and 3rd term,

Ratio = 105/110 = 21/22 which is not the same as 11/12.

Hence, since the ratio is not the same, this sequence is not a geometric sequence.

Answer: what’s the problem

Step-by-step explanation:

with what problem there isn't one posted

Answer:

Clouds, Sweater Weather, and Bestfriend also So what.

Post Malone Radio.

Answer:

it's b

Step-by-step explanation:

it satifies Pythagoras theorem.

29² = 20²+21²

Answer: X = 121

Step-by-step explanation:

Because 180 degrees is a flat line, you subtract 59 from 180 to get the remaining angle values

9514 1404 393

Answer:

Step-by-step explanation:

It should be no stretch to understand that "increases" means the function is a growth function (+ sign), and "decreases" means the function is a decay function (- sign).

The multiplier in front (a) is the initial value — the value when t=0.

Answer:

-b +/- √b^2-4ac

_____________

2a

Answer:

8.79 in

Step-by-step explanation:

23 = 150/360 × 2×3.14× r

23 = 5/12 × 6.28 x r

23 = 31.4×r / 12

31.4 r = 23×12

31.4 r = 276

r = 276/31.4

r = 8.79 in

Answer:

Step-by-step explanation:Select any two random points on the graph of the line (preferably with integer coordinates).

Label them as A and B (in any order).

Calculate the "rise" from A to B. While going vertically from A to B, if we have to go

"up", then the rise is positive;

"down", then the rise is negative.

Calculate the "run" from A to B. While going horizontally from A to B, if we have to go

"right", then the run is positive;

"left", then the run is negative.

Now, use the formula: slope = rise/run.

Answer:

B

Step-by-step explanation:

perpendicular is right angle

Answer:

The answer is B. 1/8

Step-by-step explanation:

Half of the garden is planted by seeds. The quarter of that half will be equal to 1/8 for the whole garden.

Answer:done

Step-by-step explanation:

Answer:

6 and 9/16

Step-by-step explanation:

The area of a rectangle can be calculated by multiplying the width and length. So 1 3/4*3 3/4=7/4*15/4=105/16 or 6 and 9/16

The measure of the exterior angle of the triangle is 114 degrees.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

The measure of the exterior angle of the triangle can be found using exterior angle theorem.

Therefore, the exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

Hence,

24 + 2x + 18 = 3x + 6

2x - 3x = 6 - 18 - 24

-x = -36

divide both sides of the equation by -1

x = 36

Hence,

exterior angle = 3x + 6 = 3(36) + 6 = 108 + 6 = 114 degrees

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As a result, there is a 0.1863 chance, or 18.63% probability , that one of the 68 seniors who will graduate this year will graduate on their birthday.

fundamentals of probability A probability is a numerical representation of the likelihood or possibility of an event occurring. Probabilities can be expressed as proportions with a 0–1 range or as percentages with a 0%–100% range.

Here,

The likelihood that one of the 68 seniors graduating this year will have their birthday coincide with graduation day is given here.

As a result, this issue can be modeled using a binomial probability model with a success chance of 1/365.

Given: The likelihood of exactly 1 success after 68 attempts.

=> P(x=1) = 68!/ (68-1)!  * 1/365

=>  68/365

= >  0.1863

As a result, there is a 0.1863 chance, or 18.63%, that one of the 68 seniors graduating this year will have their birthday coincide with the commencement.

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The price range for 75% of sales will be between $149,300 and $343,300.

The minimum percentage of observations falling within a given range of standard deviations from the mean is calculated using Chebyshev's Theorem. Numerous probability distributions can use this theorem. Also known as Chebyshev's Inequality, Chebyshev's Theorem.

Between $149,300 and $343,300 is where 75% of transactions are priced. Only 75% of the distribution's numbers must fall within two standard deviations for Chebyshev's theorem to hold, which makes it weaker than the proportion of numbers that are within two standard deviations of the mean.

Since the standard deviation given exists 48500, 2 standard deviations will be 2 × 48500 = 97000.

The lower limit will be 246300 - 97000 and the upper limit will be 246300 + 97000.

Lower limit = 246300 - 97000 = 149300

Upper limit = 246300 + 97000 = 343300

So 75% of the sales prices will be between $149,300 and $343,300

The complete question is:

The average sale price of new one-family houses in the United States for 2003 was $246,300. Using Chebyshev's theorem, find the range of values in which at least 75% of the sale prices will lie if the standard deviation is $48,500. Hint: You should memorize that when k is 2, it is 75% and when k is 3 it is 88.89%. Please answer with whole numbers: ex. 55,232 to 65,450 with commas

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