Helen earns $7.00 per hour at her job, but if she works more than 35 hours in a week she is paid times
her regular wage for the overtime hours worked. One week her gross pay was $308.00. How many overtime
hours did she work that week?
a. 7 hours
b. 6 hours
c. 5 hours
d. 10 hours
e. none of these

Answer:

I) 1.1cm

II) 0.001m = 1mm

Step-by-step explanation:

I)

10mm = 1 cm

11mm = ?

? = (11 x 1)/10 =11/10 =1.1

II)

1000mm = 1m

Milli represents 10^-3 = 0.001

1 millimeter = 1 x 0.001 =0.001m

for blank 1 the answer is "slope" and for blank 2 the answer is y-intercept (slope intercept form is y=mx+b, m=slope and b=y-intercept).

Answer:

32.66

Step-by-step explanation:

Answer:

32.666

Step-by-step explanation:

Answer: 22 quarters

Step-by-step explanation:

Let N be the number of nickels.

Then the number of quarters is (55-N)

The nickels  contribute 5N cents to the total.

The quarters contribute 25*(55-N) cents to the total.

5N + 25*(55-N) = 715

5N + 1375 - 25N = 715

-20N = 715 - 1375 = -660

\(N=\frac{-660}{-20}\)

\(=33\)

\(55-33=22\)

So there is 22 quarters inside the jar.

Check to see if my answer is correct-

33*5 + 22*25 = 715 cents

Answer:

Step-by-step explanation:

65m + 40 = 55m + 190

65m - 55m = 190 - 40

10m = 150

m = 15 months

Answer:

42.41

V=πr2h 3=π·32·4.5 3≈42.4115

Looking at the Algorithm

We can see that

A) True

2 is one of the roots and the divisor of that Divison

B) False

When we plug into the function (x) the root the result is going to be zero

Since f(-2) = 5(-2)² -16(-2) +12 f(-2) = 20 +32 +12 f(-2) = 64 not equal to zero, then x = -2 is not the root

f(x) = -5x² -16x +12 has x_1= 2 and x_2= 6/5

C) False

Factoring f(x) = -5x² -16x +12 we'll have f(x) = (5x -6)(x-2)

D) True

For the previous explanation

E) True

Rewriting as a factored form we'll have f(x) = (5x -6)(x-2)/(x-2) = 5x -6

F) False

We can't find the same result as the previous one. by dividing by (x+2)

Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

Answer:

75 Kilometers

Step-by-step explanation:

We have been given that the distance between two towns is 120 km.

We are also told that there are approximately 8 km in 5 miles. Let us find number of miles per km by dividing 5 by 8.

\text{Number of miles in 1 km}=\frac{5\text{ miles}}{\text{8 Km}}

\text{Number of miles in 1 km}=0.625\frac{\text{ miles}}{\text{ Km}}

Therefore, there are 0.625 miles in 1 km.

To convert our given distance into miles we will multiply our given distance by number of miles in 1 km.

\text{Number of miles in 120 km}=120\text{ km}\times \frac{0.625\text{ miles}}{\text{ km}}

\text{Number of miles in 120 km}=120\times 0.625\text{ miles}

\text{Number of miles in 120 km}=75\text{ miles}

Therefore, the distance between two towns is 75 miles.

Answer:

The answer is 75, I had this question a few days ago and I got it right

Answer:75

Step by step explanation:

To turn degrees into radian yuo have to multiply for the conversion factor, remember that pi radians are equal to 180 degrees, so:

And for the problem we can first find the total area, if 75° is 12cm^2. How much do 360° correspond to?

Now we can use the area formula:

The radius is approximately 4.3 cm

Neil had 18 dimes, 6 nickels and 10 quarters saved up in his jar making a total of 460 pennies

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

In his piggy bank, Neil has three times as many dimes as nickels and he has four more quarters than nickels. The coins total are 4.60. How many of each coin does he have.

Let x represent dimes (0.1), y represent nickels (0.5) and z represent quarter (0.25)

Hence:

0.1x + 0.05y + 0.25z = 4.6   (1)

Also:

x = 3y   (2)

And:

z = y + 4  (3)

From the equations:

x = 18, y = 6, z = 10

Neil had 18 dimes, 6 nickels and 10 quarters saved up in his jar making a total of 460 pennies

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Fοr the inequaIity given, the cοrrect representatiοns are -

C: -6x + 15 < 10 - 5x

D: A number Iine frοm negative 3 tο 3 in increments οf 1. An οpen circIe is at 5 and a bοId Iine starts at 5 and is pοinting tο the right.

In AIgebra, an inequaIity is a mathematicaI statement that uses the inequaIity symbοI tο iIIustrate the reIatiοnship between twο expressiοns. An inequaIity symbοI has nοn-equaI expressiοns οn bοth sides. It indicates that the phrase οn the Ieft shοuId be bigger οr smaIIer than the expressiοn οn the right, οr vice versa.

The inequaIity is given as -3(2x - 5) < 5(2 - x).

We need tο simpIify the inequaIity -

-3(2x - 5) = -3(2x) + -3(-5)

-3(2x - 5) = - 6x + 15

5(2 - x) = 5(2) + 5(-x)

5(2 - x) = 10 - 5x

Sο, nοw we have -

- 6x + 15 < 10 - 5x

Subtract 15 frοm bοth sides οf the inequaIity -

- 6x < -5 - 5x

Add 5x tο bοth sides -

- x < - 5

Remember the cοefficient οf x is negative, then when yοu divide bοth sides by it yοu must reverse the sign οf inequaIity.

The cοefficient οf x is -1.

Divide bοth sides by -1.

Sο, x > 5

The cοrrect statements are -

–6x + 15 < 10 - 5x

-6x + 5x < 10 - 15

-x < -5

x > 5

Sο, this is the right chοice.

The cοrrect representatiοn is x < 5 and a number Iine frοm negative -7 tο 3 in increments οf 1. An οpen circIe is at 5 and a bοId Iine starts at 5 and is pοinting tο the right.

Therefοre, οptiοn C and D are cοrrect chοices.

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×-3

4x

Step-by-step explanation:

multiply numerator and denominator by x and combine fractions

Answer: 5

Step-by-step explanation:

First of all, keep in mind that absolute value of any real number (positive and negative) is always positive because it stands for the distance from zero, and distance will never be negative.

         i.e. |x|=x, |-x|=x

-------------------------------------------

 |-9|-|-4|

=9-4

=5

Hope this helps!! :)

Answer:

\(\huge \boxed{5}\)

Step-by-step explanation:

\(|-9|-|-4|\)

Apply rule : \(|-a|=a\)

\(9-4\)

Subtract.

\(=5\)

Answer:

the answer for no.19. is 129°

Step-by-step explanation:

firstly as you can see line DE is actually the diameter which is equal to 180°. the angle CD is equal to 51° so all we have to do is minus 51° from 180° which is equal to 129°.

You can also minus 108° from 180° the answer is 72° therefore the angle for line BFE is 72°. Add all the answer should be 360° which is the total degrees for a circle.

If there are 30 Apple computers and 7 of the computers have a specialized movie editing software, then that would be 23.3333333% of the Apple computers can be used for editing movies.

7/30x100= 700/30

700/30= 23.33%

The length and midpoint of segment PQ, where the coordinate of P is (8, -15), and Q is (13, -10) are;

The given points are;

P(8, -15) and Q(13, -10),

Part A:

The distance between the points P and Q, which may be expressed as d(P, Q), is found as follows;

d(P, Q) = √((13-8)²+(-10-(-15))²) = √(50) = 5•√2

The length of PQ is therefore;

Second part;

The midpoint of segment PQ is obtained from the midpoint formula as follows;

\((x_m, y_m) = \left(\frac{x_1 + x_2}{2}, (\frac{y_1 + y_2}{2} \right)\)

The midpoint, \((x_m, y_m) \) of PQ is therefore;

\((x_m, y_m) = \left(\frac{8+13}{2}, \frac{(-15) + (-10)}{2} \right) = \left(11.5, -12.5\right) \)

The coordinates of the midpoint of segment PQ is (11.5, -12.5)

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\(total \: money = 100\% \\ ring \: cost = p\% \\ necklace \: cost = 2p\%\)

\(money \: left =( 100 - p - 2p)\% \\ money \: left = (100 - 3p)\% \)

The percentage of her money left, in terms of p, would be (100 - 3p)%.

Given that Miss Nana spent p% of her money on a ring and twice as much on a necklace.

We need to find what percentage of her money, in terms of p, was left after that.

Let's assume Miss Nana initially had 100 units of money.

According to the given information, she spent p% of her money on a ring. Therefore, the amount of money spent on the ring would be p units.

She also spent twice as much on a necklace, which means she spent 2p units on the necklace.

So, the total amount spent on both the ring and the necklace is p + 2p = 3p units.

The remaining money would be 100 units - 3p units = (100 - 3p) units.

To find the percentage of money left in terms of p, we can express the remaining money as a percentage of the initial money and then simplify:

Percentage of money left = [(100 - 3p) / 100] x 100%

= (100 - 3p)%

Therefore, the percentage of her money left, in terms of p, would be (100 - 3p)%.

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Answer:

The answer is the third option

Step-by-step explanation:

When an exponent is raised to the power of another exponent, both exponents are multiplied.
Recall that a number without an exponent is thought to be raised to the power of 1.

So after multiplying the exponents of all of the variables by 4, we are left with a solution identical to the third option.

Answer:

x=6

Step-by-step explanation:

7+5(×-3)=22

expand the brackets:

7 + 5x - 15 = 22

simplify:

5x - 8 = 22

add 8 to both sides:

5x = 30

divide both sides by 5

x = 6

hope this helps

brainliest plz?

x

Answer:

7+5 (x-3)=22

7+5x-15=22

5x+ -8=22

5x=30

x=6

Step-by-step explanation:

PEMDAS

First distribute in the parentheses

Then add like terms together

once you have -8, add it on both sides

then divide 5 from both sides to leave the unknown variable by itself

Finally you have the answer

I hope this helps! :)

Answer:

180 ft.

Step-by-step explanation:

\( \frac{90}{135} = \frac{120}{x} \)

\(90x = 16200\)

Check the picture below.

The value of v in terms of i and j is v = 3i + 3j

We are given that;

P₁ = (-5,3), P₂ = (-2,6)

Now,

To find the component form of a vector, we need to subtract the coordinates of the initial point from the coordinates of the terminal point3.

We have P₁ = (-5,3) and P₂ = (-2,6).

v = P₂ - P₁ = (-2 - (-5), 6 - 3) = (3, 3). We can write v in terms of i and j as v = 3i + 3j.

Therefore, by vectors the answer will be v = 3i + 3j.

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Answer:

i

Step-by-step explanation:

is

coooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooool

Answer:

What tiles need to be added to both sides to remove the smaller x-coefficient?

✔ 5 negative x-tiles

What tiles need to be added to both sides to remove the constant from the right side of the equation?

✔ 4 negative unit tiles

What is the solution?

✔ x = –6

Step-by-step explanation:

The value of g(4) of the given function is 56.

To solve this, we would apply the knowledge of functions.

Given:

\(g(x) =6x+32\)

To find \(g(4)\), we would substitute \(4 $ for $ x\) into the given function, \(g(x) =6x+32\).

Let's solve:

\(g(x) =6x+32\)

\(g(4) =6(4)+32\\\)

\(g(4) =24+32\\\\\)

\(g(4) =56\)

Therefore, the value of g(4) is 56.

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The quadratic function f(x) =\(3(x+3)^2 - 7\) has a minimum at x = -1, and the minimum value is 5.

To determine whether the quadratic function f(x) =\(3(x+3)^2 - 7\)has a minimum or maximum, we can examine the coefficient of the x^2 term, which is positive (3 in this case).

When the coefficient of the x^2 term is positive, the parabola opens upward, indicating that the function has a minimum value. The vertex of the parabola represents the minimum point.

Now let's find the coordinates of the vertex, which will give us the minimum value of the function.

The general form of a quadratic function is f(x) =\(ax^2 + bx + c\), where the vertex can be found using the formula:

x = -b / (2a)

In our case, a = 3 and b = 3*2 = 6 (from (x+3)^2).

Substituting the values into the formula, we have:

x = -6 / (2 * 3)

x = -6 / 6

x = -1

To find the y-coordinate of the vertex, we substitute the x-value (-1) into the function:

\(f(-1) = 3((-1)+3)^2 - 7\)

\(f(-1) = 3(2)^2 - 7\)

f(-1) = 3(4) - 7

f(-1) = 12 - 7

f(-1) = 5

The graph of this function will have a downward-opening parabola, and the vertex will be the lowest point on the curve.

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Answer:

11828282828282838383838383838

For a)

The y-intercept of the graph is the value of y-coordinate when x=0

in this case, the y-intercept is 80

For b)

in the context of this situation, the y-intercept is the initial height of the ball at 0 sec

For c)

the maximum height is the vertex of the parabola as we can see in the graph the maximum height is 144 at 2 seconds

For d)

as we said in the last subsection the maximum height is 144 ft

For e)

as we can see in the graph the parabola reach y=0 at x=5 in order words the ball reaches the surface of the river in 5 seconds

the point in red is the maximum height and the time that the ball reaches this height

the initial height is in blue, at time=0sec

and the time that the ball reaches the surface of the rive is in green the height in this case is 0

Answer:

The perimeter of a square is given by the formula P = 4s, where s is the side length. In this case, we are given that the perimeter is (12x - 32) feet, so we can set up an equation:

P = 4s

(12x - 32) = 4s

To solve for s, we can divide both sides by 4:

(12x - 32)/4 = s

Simplifying the expression on the left:

3x - 8 = s

Therefore, the expression in simplest form that represents the side length of the square wrestling mat is 3x - 8 feet.

Answer:

Step-by-step explanation:

the answer would be 3 x − 8 3x-8 3x−8 ft