Use the associative property of addition to rewrite (9+12)+20

Step-by-step explanation:

and ... ? what do we need to do ?

I guess finding the number of quarters and dimes.

x = number of quarters

y = number of dimes

x + y = 185

x = 185 - y

0.25×x + 0.1×y = 26.75

after all, a quarter has a value of $0.25, and a dime of $0.10.

let's use the identity of the first equation in the second equation :

0.25×(185 - y) + 0.1×y = 26.75

to make is simpler to see let's multiply the whole thing by 100 :

25×(185 - y) + 10y = 2675

4625 - 25y + 10y = 2675

4625 - 15y = 2675

1950 = 15y

y = 130

x = 185 - y = 185 - 130 = 55

there are 55 quarters and 130 dimes in the bag.

Answer:

1.33

step by step explanation

Step-by-step explanation:

f(x) = x³ + 2x² - 3x - 6

f(-2) = (-2)³ + 2(-2)² - 3(-2) - 6

= -8 + 8 + 6 - 6

= 0

The solution to the linear equation given as 2.4 (x - 6) = 0.4 (x + 8) + 12 is  x = 14.8

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

The linear equation is given as

2.4 (x - 6) = 0.4 (x + 8) + 12

Open the brackets

So, we have

2.4x - 14.4 = 0.4x + 3.2 + 12

Collect the like terms in the above expression

So, we have

2.4x - 0.4x = 14.4 + 3.2 + 12

Evaluate the like terms in the above expression

So, we have

2.0x = 29.6

Evaluate the quotient in the above expression

So, we have

x = 14.8

Hence the solution to the linear equation given as 2.4 (x - 6) = 0.4 (x + 8) + 12 is  x = 14.8

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The equivalent expression is 15x + 104 /4

Algebraic expressions are defined as expressions comprised of constants, variables, terms, coefficients and factors.

They are also made up of arithmetic or mathematical operations such as;

Given the expression:

2(3/4x+7) - 3(1/2x-5)

solve for the bracket

3 ( 3x + 28/4) - 3 (x - 10 /2)

expand the bracket by multiplying

9x + 84 / 4 + 3x + 10/ 2

Find the lowest common multiple

9x + 84 + 6x + 20  /4

collect like terms

15x + 104 /4

Thus, the equivalent expression is 15x + 104 /4

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Answer:

x = 12

Step-by-step explanation:

brainliest

By applying the law of sines, the value of angle C to the nearest tenth is equal to 20.2 degrees.

In Geometry, there are different types of triangle based on the length of their sides and angles, and these are;

In Trigonometry, the law of sines is also referred to as sine law or sine rule and it can be defined as an equation that relates the side lengths of a triangle to the sines of its angles.

Mathematically, the law of sines is given by this equation:

[tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]

Substituting the parameters into the formula, we have;

sin51/9 = sinC/4

Cross-multiplying, we have:

4sin51 = 9sinC

sinC = 4sin51/9

sinC = (4 × 0.7772)/9

sinC = 3.1088/9

sinC = 0.4

C = sin⁻¹(0.3454)

C = 20.2 degrees.

In conclusion, we can logically deduce that the value of angle C is equal to 20.2 degrees.

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The base of its triangular face of the triangular prism is found as 17.7 cm.

The formula for the volume of triangular prism is;

Volume = base area x length

The base area of the triangular base.

The area of the triangle = 1/2 base×height

The given values are-

Thus, volume = base area x length

volume =  1/2 base × height × length

base = 2v/(height × length)

Put the values;

base = 2×2,354.1/(14 × 19)

base = 4708.2/(14 × 19)

base = 17.7 cm

Thus, the base of the triangular  prism is found as 17.7 cm.

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Answer:

a) 28

Step-by-step explanation:

Given information,

→ w = 5

→ x = 9

→ y = 2

The given expression is,

→ x + 20 - 1

Let's solve the expression,

→ x + 20 - 1

→ 9 + 20 - 1

→ 29 - 1

→ 28

Hence, the answer is 28.

[tex]3x - 2 = 19 \\ 3x = 19 +2 \\ x = \frac{21}{3} \\ x = 7 [/tex]

Answer:

yes

Step-by-step explanation:

you can classify people into categories by name, state, and age. Hope this helps!

Answer:

The answer is in the attached screenshot.

The solution to the given inequality -3(x - 2) ≤ 1/3 is x ≤ 17/9

-3(x - 2) ≤ 1/3

-3x + 6 ≤ 1/3

-3x ≤ 1/3 - 6

-3x ≤ (1-18) / 3

-3x ≤ -17/3

x ≤ -17 /3 ÷ -3

x ≤ -17/3 × 1/-3

x ≤ -17/-9

x ≤ 17/9

A verbal statement describing the solution to the inequality is x is less than equal to 17 over 9

Verifying the solution of the inequality:

-3(x - 2) ≤ 1/3

-3x + 6 ≤ 1/3

-3(17/9) + 6 ≤ 1/3

-51/9 + 6 ≤ 1/3

(-51+54) / 9 ≤ 1/3

3/9 ≤ 1/3

1/3 ≤ 1/3

Therefore, the -3(x - 2) ≤ 1/3 to the inequality -3(x - 2) ≤ 1/3 in verbal statement is x is less than equal to 17 over 9.

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When 80% of a number is found then the answer will be less than the number. 120% of a number will be greater than the number.

In order to find 80% of a number, you simply multiply the number by 80/100 .

When you find 80% of a number, the answer would be less than the number because all percentages less than 100% of a number would be less than the number.

For instance, 80% of 5 is:

= 80/100 x 5

= 4

All percentages more than 100 would be greater than the number which means that 120% would be greater. For instance:

= 120% x 5

= 6

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The total width of the room including the platform is 6.40 and the fraction of raised platform area to the total area is 1/6.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

The fraction is the division of the two numbers but the division is not wholly complete.

A) Given the area of room = 46 14/15 = 704/15

Area = Width × Length

W × 7 1/3 = 704/15

W × 22/3 = 704/15

W = 704/15 × 3/22

W = 6.4

B ) Given the area of the platform as 7 37/45 = 352/45

Area of total room = 704/15

Fraction of  raised platform area to the total area = (352/45) / (704/15)

⇒ (352/45) × 15/704

⇒ 352/2112 = 1/6

Hence "The total width of the room including the platform is 6.40 and the fraction of raised platform area to the total area is 1/6".

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Answer:

$0.75

Step-by-step explanation:

Since f(x) is linear, the rate of change is is the coefficient of x

Answer:

Step-by-step explanation:

Background: f(x) is the same thing as y but represents the value of x in parentheses.

Ej: f(2)=3x+2, this solution would be "8" because the value in the parentheses represents the value of x. (if the parentheses have an "x" then the value of x is unknown.

1.

f(x)=5x+8   g(x)=(x-8)/5

f(g(x))=?, 5((x-8)/5)+8

f(g(x))=x-8+8

f(g(x))=x

g(f(x))=5x+8-8/5

g(f(x))=5x/5

g(f(x))=x

g(f(x))=f(g(x)) because they both equal x proving they are inverses

Sorry, I don't have time to answer the rest of the steps (I will give the answers to check the work).

All of them are x=x because they are all inverse functions.

6. B. 2x + 6

7. A. 4x + 5

8. B. 3x + 10

9. C. This is because like terms are terms that have the same variables, for example: 6x - 9x, 12y - 4y, 3a + 5a. In the other choices, we can see that they are unlike terms, not like terms.

Answer:

16

Step-by-step explanation:

-7 to 9 is 16 because just doing 9 + 7 is 16.

Answer: 252

Step-by-step explanation:

Based on the given equation, the solution to x is -32.

The formula given is:

x / -2² = 4 (-2)

To solve for x, solve for the exponents:

x / -2² = 4 (-2)

x / 4 = 4 (-2)

Then solve the brackets:

x / 4 = 4 (-2)

x / 4 = -8

Then solve for x:

x / 4 = -8

x = -8 x 4

x = -32

In conclusion, based on the equation of x given, the value of x can be found to be -32.

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Answer:

400

Step-by-step explanation:

if the number was bellow 350 it would be 300 but it's not so 400 is correct

Answer: 367.78

Step-by-step explanation:

hundreds = 3

tens = 6

ones = 7

hundredths = 7

thousandths = 6

ten thousandths = 4

hundred thousandths = 2

367.776  [the 7 would round up to an 8]

367.78

The missing part from this problem for you to solve it is that the total marbles Sara had.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We have been given that Mahad had no marbles, so Sara gave ⅓ of her marbles to Mahad.

Here we can see that this problem cannot be solved due to a lack of information. we need the total marbles Sara had.

If we are given the total marbles Sara had, then we can just simply divide the amount by the denominator.

Therefore, the missing part from this problem for you to solve it is that the total marbles Sara had.

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Answer:

Solution:

So answer is 12 inches

Work Shown:

[tex](x_1,y_1) = (7,-6) \text{ and } (x_2,y_2) = (6,-6)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-6 - (-6)}{6 - 7}\\\\m = \frac{-6 + 6}{6 - 7}\\\\m = \frac{0}{-1}\\\\m = 0\\\\[/tex]

Lines with slope of 0 are always horizontal. The y coordinates are the same value.

Answer:

B

I don't know how all the answers are B's

Give me brainliest answer.

I hope I could help.