PLS HELP!!!
30 = y/2 + 8

y = ____

Answer: 38.75 hours

Step-by-step explanation: so one thing real quick, you said “A painter worked 7 3/4 hours per hour” that’s not possible so instead I’m guessing you meant 7 3/4 hours per day.

Turn 7 3/4 hours into 7.75 hours then it’s simple, you multiply 7.75x5! You get 38.75 hours!

Answer:

38 3/4

Step-by-step explanation:

7 3/4 times 5 =

7 3/4 = 31/4

31/4 times 5 = 155/4

= 38 3/4

Radius of Earth's moon is [tex]1.737*10^{8}[/tex]

Very big or very small numbers can be presented in a simpler way using scientific notation. Although whole numbers can be stretched to infinity, humans are unable to write such enormous numbers on paper. Additionally, it was necessary to represent the numbers that appear at the millions place after the decimal in a more straightforward manner. The extended form of a few numbers is therefore difficult to represent. So, we employ scientific notations.

Given, radius of Earth's moon is 173,700,000.

As we know, in scientific notation there is only one number to the left.

So, we need to move the decimal to 8 places.

Therefore, radius of Earth's moon is [tex]1.737*10^{8}[/tex].

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By factorizing algebraic expression 30 - [tex]6x^3[/tex] using a common factor, the result will be option (A) 2(15 - [tex]3x^3[/tex])

The expression is given,

30 - [tex]6x^3[/tex]

The expression is the mathematical sentence that consist of different types of variables, numbers and the mathematical operators. The mathematical operators will be addition, subtraction, division and multiplication. The expression does not contains a equal sign or inequality signs

The expression is given,

30 - [tex]6x^3[/tex]

Take a common term outside

Here the common term is 2

30 - [tex]6x^3[/tex]  = 2((30/2) - [tex]6x^3[/tex] /2)

= 2(15 - [tex]3x^3[/tex])

Hence, by factorizing algebraic expression 30 - [tex]6x^3[/tex] using a common factor, the result will be option (A) 2(15 - [tex]3x^3[/tex])

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Answer:
1 : 10 is the answer.

Step-by-step explanation:

Total number of eggs in 2 boxes = 6 x 2 = 12

Total number of eggs in 20 boxes = 120

12 : 120

1 : 10

Answer:

1:6

Step-by-step explanation:

Answer: 90 x 4 x 1

Step-by-step explanation:

90 x 4 x 1 = 360

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Answer:

360

Step-by-step explanation:

2³x3²x5

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The value of x is 32.5°(degree) when isosceles triangle has a base angle of (4x-3)degrees and non base angle is 54 degrees.

We know that an isosceles triangles is composed of a vertex angle and two base angles. The base angles are congruent to each other. We also know that the sum of a triangle's angles is 180°(degrees).

According to given data,

⇒ 180 - {(4x-3)+54}= 0

⇒180 - 4x + 3 - 54 = 0

⇒130 = 4x

∴ x = 32.5°(degree).

That means that each base angle is 32.5°(degree).

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Step-by-step explanation:

imagine a circle with the center at the vertex of the angle x, and the radius 72 ft.

cos(x) = 28/72 = 7/18 = 0.388888888...

x = 67.11461952...° ≈ 67.1°

Answer:-32

Step-by-step explanation:

-12+(-20)

-12-20

-32

Answer: -32

Step-by-step explanation:

−12+(−20)=

-12 - 20= ==> adding a negative number is equal to subtracting by the positive version of that number. ?-20=?+(-20)

-(12+20)=-32

The solutions of the quadratic equation using the quadratic formula is x = 3 + 2√2 and x = 3 - 2√2

From the question, we are to solve the given quadratic equation using the quadratic formula

The given quadratic equation is

x² - 6x + 1 = 0

Using the quadratic formula,

x = [-b±√(b² - 4ac)] / 2a

a = 1, b = -6, and c = 1

Thus,

x = [-(-6) ±√((-6)² - 4(1)(1))] / 2(1)

x = [6 ±√(36 - 4)] / 2

x = [6 ±√(32)] / 2

x = [6 ± 4√2] / 2

x = [2(3 ± 2√2)] / 2

x = 2(3 ± 2√2) / 2

x = (3 ± 2√2)

x = 3 + 2√2 and 3 - 2√2

Hence, the roots are 3 + 2√2 and 3 - 2√2

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1. The linear function .f(2) = 79.4, therefore, test average for maths class after 2 test is: 79.4

2. Using the function table, the test average for science class is after the second test is: 84.

3. f(4) = 79.8

4. g(4) = 80

5. Science class was higher.

The equation of a linear function is given as .f(x) = mx + b, given that m represents the slope/unit rate, and b is the y-intercept or starting value.

The linear function for average test score in maths class is given as, .f(x) = 0.2x + 79

Write the linear function for science class;

Slope (m) = change in y/change in x = (84 - 82)/(2 - 3) = 2/-1

Slope (m) = -2

Substitute m = -2 and (x, y) = (3, 82) into y = mx + b:

82 = -2(3) + b

82 = -6 + b

82 + 6 = b

88 = b

b = 88

Substitute m = -2 and b = 88 into g(x) = mx + b:

g(x) = -2x + 88

Part 1:

Substitute x = 2 into .f(x) = 0.2x + 79

.f(2) = 0.2(2) + 79

.f(2) = 79.4

Test average for maths class after 2 test is: 79.4

Part 2:

Using the function table, when x = 2, the test average for science class is: 84.

Part 3:

Substitute x = 4 into  .f(x) = 0.2x + 79

.f(4) = 0.2(4)+ 79

.f(4) = 79.8

Part 4:

Substitute x = 4 into g(x) = -2x + 88

g(4) = -2(4) + 88

g(x) = 80

Part 5:

Science class had a higher test 4 average of 80.

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If Adira has 3 more than 50 percent of the number of cards that kip has. Kip has 18 cards. The expression for the total number of cards the groups has is:  1/3 ⋅9+(3+0.5⋅18)+18.

Given data:

Number of trading cards = 1/3

Adira number of cards = 23 more than 50%

Kip number of cards = 18 cards

Now let formulate an expression and then make use of the formulated expression to find the number of cards

Hence,

Number of cards =  1/3 ⋅9+(3+0.5⋅18)+18

Number of cards  =  1/3 ⋅9+(3+9)+18

Number of cards  =  1/3 ⋅9+(12)+18

Number of cards  =3 + 12+18

Number of cards = 33 cards

Therefore the expression is :  1/3 ⋅9+(3+0.5⋅18)+18.

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Answer: 16r²s²=(4rs)²

Step-by-step explanation:

[tex]16r^2s^2=\\\\4^2r^2s^2=\\\\(4rs)^2[/tex]

The correct option c) 120; for the assignment of 7 students to 10 seats in a row.

The formula for finding the combination is-

ⁿCₓ = n!/ x!(n - x)!

Where,

For the given question.

Total students to be assigned a seat = 7.

Total seats in a classroom = 10.

Thus, Applying combination;

¹⁰C₇ = 10!/7!(10 - 7)!

¹⁰C₇ = 120

Thus, if there are 10 seats in a row, there are 120 different ways that 7 students could be seated in a classroom.

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The researcher was using Investigator triangulation quality-enhancement strategy.

The Investigator triangulation strategy make use of more than one researcher, investigator or interviewer to study the data.This research strategy can help you improve the credibility and the validity of your findings.

Including the Investigator triangulation strategy , there are basically four types of triangulation strategies . The other three are listed below :

- Data Triangulation

- Theory Triangulation

- Methodological Triangulation

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The ratio of gallons of blue paint to gallons of yellow paint will NOT make the same shade of green paint 4:9.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paint.

So, the ratio of gallons of blue paint to gallons of yellow paint is

= 5 to 9  or 5:9

Now, ratio of gallons of blue paint to gallons of yellow paint will NOT make the same shade of green paint

= 1- 5/9

=4/9

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The GCF of the expressions given as 70x³z and 45y⁴z² is 5z

From the question, we have the following expressions

70x^3z and 45y^4z^2

Rewrite the given expression as follows

This is represented using

70x³z and 45y⁴z²

Factor out z from the expression

So, we have the following representation

70x³ and 45y⁴z => Factored z

Factor out 5 from the expression

So, we have the following representation

14x³ and 9y⁴z => Factored 5z

So, we have

Factored = 5z

This represents the GCF

Hence, the GCF is 5z

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Answer:

25/0 aka infinity

Step-by-step explanation:

Equation used:

(y2-y1)/(x2-x1)

1. Plug in the values to get (27-2)/(9-9)

2. Simplify to get 25/0

3. This results in an infinity

The derivative of the given polynomial equation is 16x³ - 6x + 6.

We are given an equation. The equation represents a polynomial in one variable. The degree of the polynomial is four; hence, it is called biquadratic. We need to find the derivative of the given polynomial. The derivative of a function of a real variable in mathematics describes the sensitivity of the function value to a change in its argument. Calculus relies heavily on derivatives.

The equation is given below.

y = 4x^4 - 3x² + 6x + 14

dy/dx = (d/dx)(4x^4 - 3x² + 6x + 14)

dy/dx = (d/dx)(4x^4) - (d/dx)(3x²) + (d/dx)(6x) + (d/dx)(14)

dy/dx = [4*4x^(4 - 1)] - [3*2x^(2 - 1)] + [6*1x^(1 - 0)] + [14*0x^(0 - 1)]

dy/dx = 16x³ - 6x + 6

Hence, the derivative of the given polynomial equation is 16x³ - 6x + 6.

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A rectangle with a diagonal of length x is twice as long as it is wide, the area of the rectangle is (B) 2x²/5..

Given that we have a rectangle with a diagonal of length x is twice as long as it is wide.

Let

L = length of rectangle,

W = width of rectangle and

D = length of diagonal = x

Given that the length of diagonal, x is twice as long as it is wide, we have that

L = 2W

Also, since it is rectangle, we have that

D² = L² + W²

D² = (2W)² + W²

D² = 4W² + W²

x² = 5W²

W² = x²/5

W = x/√5

W = x√5/5

since the length of the rectangle, L = 2W, we have that

L = 2W

= 2x√5/5

The area of the rectangle

The area of the rectangle is given by A = LW where

L = length of rectangle and

W = width of rectangle

So, A = LW

= 2x√5/5 × x√5/5

= 2x² × 5/25

= 2x²/5

So, the area of the rectangle is (B) 2x²/5

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He can wear 24 different  outfits can he wear to school .

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.

The definition of the combination is "An arrangement of objects where the order of the objects is irrelevant." Combining these two words indicates "Selection of things," where the order of the items is irrelevant.

Given:

Juan owns 8 pairs of pants, 1 shirt, 3 ties and  1 jacket

So, number of outfits can he wear to school is

= 8 x 1 x 3 x 1

=24

Hence, he can wear 24 different  outfits can he wear to school .

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Andre takes 36 minutes to walk to the school.

Given, It take Jada 20 minutes to walks to school.

It takes Andre 80% a long to walk to school.

As, Andre takes 80% more to walk to school

So, the time Andre takes = 20×180/100

the time Andre takes = 2×18

the time Andre takes = 36 minutes

Hence, Andre takes 36 minutes to walk to the school.

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Answer: The competing restaurant

Step-by-step explanation:

If you divide the 4.52 by 2 you get 2.26 for the first restaurant's unit price

If you divide the 9.44 by 2 you get 2.36 for the second restaurant's unit price

Hope this helps :)

Answer:

875 square feet.

Step-by-step explanation:

Multiply 350 square feet by 2.5 gallons.

Answer:

1:3

n=3

Step-by-step explanation:

1 hour = 60 minutes

20:60

20÷20=1

60÷20=3

1:3

Answer: -4.2c + 4.8d

Step-by-step explanation:

Multiply each number by 0.6 to get -4.2c + 4.8d.

Answer:

Perimeter = 18√3 = 18SQR(3)

Area = 27√3 = 27SQR(3)

Step-by-step explanation:

The sides of a regular polygon are congruent.

Therefore, as the triangle is a regular polygon, it is an equilateral triangle since its sides (and interior angles) are congruent.

The interior angles of a triangle sum to 180°.  Therefore, each interior angle of the equilateral triangle is 60°.  

Therefore, the right triangle formed inside the equilateral triangle by the perpendicular bisectors is a 30-60-90 triangle with hypotenuse of 6 units.

The ratio of the side lengths of a 30-60-90 triangle is b : b√3 : 2b, where:

As the hypotenuse of the 30-60-90 right triangle is 6 units:

[tex]2b = 6 \implies b=3[/tex]

Therefore, the length of the longest leg of the right triangle is 3√3.

As this is half the length of one side of the equilateral triangle:

[tex]\implies \sf Perimeter = 6 \times 3 \sqrt{3}=18\sqrt{3}\; units[/tex]

Heron's Formula allows us to find the area of a triangle in terms of its side lengths.

Heron's Formula

[tex]\sf Area = \sqrt{s(s-a)(s-b)(s-c)}[/tex]

where:

Given:

Substitute these values into the Heron's formula to calculate the area of the equilateral triangle:

[tex]\begin{aligned}\implies \sf Area &= \sf \sqrt{9\sqrt{3}(9\sqrt{3}-6\sqrt{3})^3}\\ &= \sf \sqrt{9\sqrt{3}(3\sqrt{3})^3}\\ &= \sf \sqrt{9\sqrt{3}(81\sqrt{3})}\\&=\sf \sqrt{2187}\\&=\sf \sqrt{729 \cdot 3}\\&=\sf \sqrt{729}\sqrt{3}\\&=\sf 27\sqrt{3} \;\;units^2\end{aligned}[/tex]

The sequence that can be defined by the recursive formula is (c) 4, 2.75, 1.5...

The function definition is given as

f(1) = 4

f(n + 1) = f(n) - 1.25 for n ≥ 1

Set n = 1

So, we have the following representation

f(1 + 1) = f(1) - 1.25

This gives

f(2) = f(1) - 1.25

So, we have

f(2) = 4 - 1.25 = 2.75

Set n = 2

So, we have the following representation

f(2 + 1) = f(2) - 1.25

This gives

f(3) = f(2) - 1.25

So, we have

f(3) = 2.75 - 1.25 = 1.5

So, we have

4, 2.75, 1.5...

The sequence that matches 2.75, 1.5... in the options is (c) 4, 2.75, 1.5...

Hence, the sequence is (c) 4, 2.75, 1.5...

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Answer:

C

Step-by-step explanation:

Because i got it right

An equation in slope-intercept form that represents the situation is C(x) = -267 + 6x.

A linear equation is an equation that has a single variable that is raised to the power of one. When shown on a graph, a linear equation is a straight line that can slope either upward or downward.

The general form of a linear equation is

y = mx + b

Where:

Slope = change in the chirps / change in the temperature

Slope = (117 - 99) / (64 - 61)

Slope = 18 / 3

Slope = 6

99 = a + 6x

99 = a + 6(61)

99 = a + 366

a = 99 - 366

a = -267

C(x) = -267 + 6x

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In a sequence of first term-10 and the 2nd term is 1. the 5th term of this sequence is -17

information given in the question

The 1st term of a certain sequence is -10

the 2nd term is 1

Each subsequent term is obtained by adding the 2 immediately preceding terms

the 5th term of this sequence = ?

Each subsequent term is obtained by adding the 2 immediately preceding terms. This statement means is applied as below

Therefore:

third term

3rd term

= first term + 2nd term

= -10 + 1

= -9

4th term

= 3rd term + 2nd term

= -9 + 1

= -8

5th term

= 4th term + 3rd term

= -9 + -8

= -9 - 8

= - 17

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