Suppose a worker makes $286.08 in one week. If he is paid $5.96 an hour for the first 36 hours he works and then $8.94 an hour in overtime pay for each additional hour, how many hours did he work overtime

Answer:

$1,251

Step-by-step explanation:

Formula: [tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Plug the values into the formula; solve:

[tex]r = \frac{r}{100}[/tex]

[tex]r = \frac{1.4}{100}[/tex]

[tex]r = 0.014[/tex]

0.014 rate per year

[tex]A = Pe^{rt}[/tex]

[tex]A = 1,200.00^{(2.71828)}^{(0.014)(3)}[/tex]

[tex]A = $1,251.47\\[/tex]

1,251.47 is 1251 rounded because the first value after the decimal point is not greater or equal to 5.

Answer:

1251

Step-by-step explanation:

Answer:

alternate exterior angles are equal .

17x + 2 = 18x - 2

x = 2 + 2

x = 4

Step-by-step explanation:

Answer:

x=41

Step-by-step explanation:

9²+40²=x²

81+1600=x²

1681=x²

√1681=√x²

41=x

Answer:

$10.12

Step-by-step explanation:

Step one:

given data

we are told that the cost of binoculars is $155.75

and also the sales tax is 7%

Step two:

We want to first solve for the sales tax which is 7% of  $155.75

=7/100* 155.75

=0.070*155.75

=10.12

Cassie will pay a tax of $10.12

Also Cassie will pay a total amount of

= 155.75+10.12

=$165.87

Answer:

they are the same

Step-by-step explanation:

6x - 2x + 4 ← collect like terms

= 4x + 4

and

4(x + 1) ← distribute parenthesis by 4

= 4x + 4

The 2 expressions are equivalent to 4x + 4

Answer:

No, Jamie is incorrect

Step-by-step explanation:

No, because in the expression 4(x+1)  you will first need to multiply 4 by x, your result is 4x, and then you multiply 4 by 1, you get 4, so the answer will be 4x+4.

Also in the expression 6x-2x+4  ,you will first need to subtract 2x from  6x, your result is 4x ,and then you add 4 , so the answer will be 4x + 4

Our final answer is:

6x-2x+4 = 4x + 4 and 4(x+1) = 4x + 4

Answer:

x=7.85

Step-by-step explanation:

Give the triangles we know that:

[tex] \frac{cd}{fh} = \frac{de}{hg} = \frac{ce}{gf} [/tex]

Now we can substitute like usual

[tex] \frac{78}{fh} = \frac{117}{54} = \frac{ce}{5x + 1} [/tex]

Now we simplify the fraction in the middle

the middles fraction will =13/6

Therefore:

[tex] \frac{78}{fh} = \frac{13}{6} [/tex]

so 13fh=468

Therefore: fh=36

Now we can use the Pythagorean theorem

so

[tex]gf = \sqrt{ {54}^{2} - {36}^{2} } [/tex]

so gf=18√5

so 5x+1=18√5

so 5x=-1+18√5

so x=7.85

(I'm not too sure about this one tho)

Answer:

What do you mean for this question?

Step-by-step explanation:

Give specific details

Answer:

x < -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Equality Properties

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

5x + 12 < 2

Step 2: Solve for x

Answer:

x < - 2

Step-by-step explanation:

5x + 12 < 2 ( subtract 12 from both sides )

5x < - 10 ( divide both sides by 5 )

x < - 2

Answer:

B.ON THE EDGE

Step-by-step explanation:

Answer:

x=1......................

Answer:

x = 32

Step-by-step explanation:

this is an equilateral triangle where all sides measure the same value; therefore, 2x-4 = 5y

since we are solving for 'x' we can set up this equation:

3(2x-4) = 180

6x - 12 = 180

6x = 192

x = 32

Answer:

$82.50

Step-by-step explanation:

You add seven dollars to $1.50 and you would get the sum of 8.50 then you multiply the amount of books purchased. The Equation is 5($8.50) + $30.00= 82.50

Sorry if I get this wrong.

Answer:

-15

Step-by-step explanation:

work in reverse

-18 is three less than something

that means that something is 3 more than -18

so

add 3 to -18

-18+3= -15

Ratio of total circles to total shapes is 4 : 7

An equation is an expression that shows the relationship between two or more variables and numbers.

There are 8 triangles and 6 circles. The ratio of total circles to total shapes is given by:

Ratio of total circles to total shapes = 8 circles : (8 + 6) shapes

Ratio of total circles to total shapes = 8 : 14 = 4 : 7

Find out more about equation at: https://brainly.com/question/2972832

Step-by-step explanation:

the general line equation format is

y = ax + b

a is the slope or gradient of the line. it is the ratio of "y coordinate change / x coordinate change".

b is the y-intercept, the y value when x = 0. we get this by putting one point into the equation and solve for b.

(i)

A (3, 5)

B (5, 9)

x changes by +2 (from 3 to 5).

y changes by +4 (from 5 to 9).

so, the slope (or gradient) is +4/+2 = 2

(ii)

the semi-finished equation is

y = 2x + b

let's use A to get b :

5 = 2×3 + b = 6 + b

b = -1

and the full equation is

y = 2x - 1

(iii)

for point (4, k) we get

k = 2×4 - 1 = 8 - 1 = 7

[tex]\lim \limits_{x \to 0^{+}} \left( \csc x + \dfrac 1x \right)\\=\lim \limits_{x \to 0^{+}} \csc x + \lim \limits_{x \to 0^{+}} \dfrac 1x\\\\=\infty[/tex]

Answer:

Step-by-step explanation:

Use law of cosines

c² = a² + b² - 2abcosθ

cosθ = (c² - a² - b²) / -2ab

c = length of AC = √(8 - 5)² + (4 - (-5))² = √90

b = length of AB = √(8 - 6)² + (4 - 3)² = √5

a = length of BC = √(6 - 5)² + (3 - (-5))² = √65

cosθ = (√90² - √65² - √5²) / -2√65√5

cosθ = 20 / -36.05551...

cosθ = - 0.5547001

θ = 123.69°

Answer:

Genes are DNA transferred to off spring by parents

Answer:

Genes are sections of DNA that code for a particular trait. Genes are nucleic acids.

Step-by-step explanation:

Answer:

Option D

2√10

Step-by-step explanation:

√8 • √5 = √8 × 5 = √40 = 2√10

Thus, √8 • √5 = 2√10

-TheUnknownScientist 72

Answer:

x + 9 = 32

Step-by-step explanation:

answer for x is 32 - 9 = 23

==================================================

Work Shown:

h(x) = 7x-5

h(2) = 7(2)-5

h(2) = 14-5

h(2) = 9

f(h(2)) = f(9)

f(x) = x^2-7

f(9) = 9^2-7

f(9) = 81-7

f(9) = 74

f(h(2)) = 74

-----------

Here's a slightly alternative approach:

f(x) = x^2 - 7

f(h(x)) = ( h(x) )^2 - 7

f(h(x)) = ( 7x-5 )^2 - 7

f(h(2)) = ( 7*2-5 )^2 - 7

f(h(2)) = ( 14-5 )^2 - 7

f(h(2)) = ( 9 )^2 - 7

f(h(2)) = 81 - 7

f(h(2)) = 74

A scale of 1:5 indicates that real measurement of the machine is five times one unit in the drawing.

The title block on a working drawing shows some important details that may be relevant in reading the drawing. One of such important details is the scale of the drawing.

The scale tells us how the size of the drawing relates to the actual size in the real world. Hence, a scale of 1:5 indicates that real measurement of the machine is five times one unit in the drawing.

Learn more about scale drawing: https://brainly.com/question/147532

Answer:

D: A rectangle and an isosceles triangle​

Step-by-step explanation:

A recangle for the base of the arrow, and an isosceles triangle​ to form the full arrow.

The answer will be option D which is a rectangle and an isosceles triangle.​

The triangle in which the two opposite sides are equal and the two opposite angles are equal is called the isosceles triangle.

As we can see in the figure there are one isosceles triangle and a rectangle are joined together to form an arrow.

Thus the answer will be option D which is a rectangle and an isosceles triangle.

To know more about the isosceles triangle follow

https://brainly.com/question/1475130

#SPJ2

Answer: 5.15 x 10^2

Step-by-step explanation:

3.8 x 103 + 1.7 x 103 = 5 x 103 = 515 = 5.15 x 10^2

Answer:

a. A(x) = 3x² - 8x + 5

b. x = ⁸/₃

Step-by-step explanation:

a.

A(x) = shaded area

A(x) = (2x - 3)² - (x - 2)²

= 4x² - 12x + 9 - (x² - 4x + 4)

= 4x² - x² - 12x + 4x + 9 - 4

= 3x² - 8x + 5

b.

ΔABF area = ⁵/₄ cm²

A(x) = 4(⁵/₄)

= 5

Substitution:

3x² - 8x + 5 = A(x) = 5

3x² - 8x + 5 = 5

3x² - 8x = 0

x(3x - 8) = 0

3x - 8 = 0

x = ⁸/₃

x = 0

Since x > 2, x = 0 is not valid;

So, x = ⁸/₃

Answer:0.07% because 710-654 is 56 and 56 divided by 710 is 0.07

Answer:

Step-by-step explanation:

Find the difference between the actual and estimate, this is the error:

Find the percent error, which is the error over the actual:

Answer:

56

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. In some zoos the are more elephants than giraffes, then this conjecture can be true sometimes, however, this can not always be true because some zoo could have more giraffes

2. This can be true unless that turtle ages, or another is found that is taken into captivi9ty and found to be older

3. While most American bison are usaually below 6 feet, that is no gureantee there is no occasaional taller American Bison.

I do not know if these meet your teacher's starndard, but I hope they do. Please thanks and rate!