Diane works mowing lawns and babysitting. she earns $8.50 an hour for mowing and $7.10 an hour for babysitting. how much will she earn for 5 hours of mowing and 7 hours of babysitting?

Final answer:

By setting up an equation based on the given problem (2(n - 4) = n - 16) and solving for n, we find that the number in question is – 8.

Explanation:

To find the number in question, let's represent the unknown number as n. According to the problem, if -4 is added to a number and then the sum is doubled, it equals the number decreased by 16. So the equation based on the problem is:

2(n - 4) = n - 16

Expand the left side of the equation:

2n - 8 = n - 16

Now we want to get all the n terms on one side and the constants on the other. To do this, we subtract n from both sides:

n - 8 = -16

Next, we add 8 to both sides to solve for n:

n = -16 + 8

n = -8

So the number in question is -8.

Answer:

3.7 cm

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Final answer:

To find angle measures using trigonometric ratios, such as sine, cosine, and tangent, as well as their reciprocals (cosecant, secant, and cotangent), use SOHCAHTOA to relate the sides of the triangle to the angle. Utilize the inverse trigonometric functions (like arccos) on your calculator to find the angle's measure from the ratio you have calculated with sides of the triangle.

Explanation:

To find angle measures using trigonometric ratios in a right triangle, we can use the mnemonic SOHCAHTOA, which stands for Sine equals Opposite over Hypotenuse, Cosine equals Adjacent over Hypotenuse, and Tangent equals Opposite over Adjacent. Let's create an example:

Suppose we have a right triangle with a hypotenuse (h) of 10 units and an adjacent side (x) to angle theta of 8 units.

To find the cosine of angle theta, we use the ratio Cos(theta) = x/h. Thus, Cos(theta) = 8/10 = 0.8.

To determine the actual measure of angle theta, we use the inverse cosine function: theta = arccos(0.8), which gives us the angle's measure in degrees or radians.

For the reciprocal, secant (Sec) is simply the inverse of cosine: Sec(theta) = 1/Cos(theta) = 10/8 = 1.25.

If we needed to use the cotangent, which is the reciprocal of the tangent, we would first need to find the opposite side (y) using the Pythagorean theorem and then use the ratio Cot(theta) = x/y.

It's essential to understand these relationships and how to use the inverse functions to find the angle measures in a right triangle. Reciprocal relationships involve the use of cosecant (Csc), which is 1/Sin(theta), secant (Sec), and cotangent (Cot), which is 1/Tan(theta). Always make sure your calculator is set to the correct unit (degrees or radians) before calculating the angle.

Answer: The correct option is fourth option.

Explanation:

The given function is,

p(x)=|x-1|

The graph of the given function is a transformed form of f(x)=|x|.

The parent modulus function is,

P(x)=|x+a|+b

If a>0, then graph shifts left by a units and if a<0, then  graph shifts right by a units.

If b>0, then graph shifts upward by b units and if b<0, then  graph shifts downward by b units.

Since the value of a is -1 and value of b is 0, therefore the graph of f(x)=|x| shifts right side by 1 unit.

Hence the fourth option is correct.

Other way to choose the correct option is find the x intercept and y intercept.

Put x=0

P(x)=|0-1|= -1

So y-intercept is (0,-1)

Put p(x)=0

0=|x-1|

x=1

So, the x-intercept is (1,0).

From x and y-intercepts, we can say that the fourth option is correct.

Answer:

Fourth graph represent the  function p(x) = |x – 1|.

Step-by-step explanation:

Given :  Function p(x) = |x – 1|.

To find : Graph .

Solution : We have given that  Function p(x) = |x – 1|.

The graph of the given function is a transformed form of f(x)=|x|.

By the transformation rule f(x-h)  graph would be shifted to right by h units.

Since ,  grapf of function f(x)=|x| became shifted to 1 unit right.

Therefore , fourth graph represent the  function p(x) = |x – 1|.

Answer:

this is the question from edgenunity i bet

alright first the question is

4(8-2y)4y+ less than or equal to  32 -8

we'll solve for Y by Isolating the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

y ≥ 2

the correct answer for me was A,

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

the range is the difference between the lowest value and highest value

 so you would subtract the lowest number from the highest number

The Greenville Art Museum currently has 11 sculptures on display after receiving 3 more sculptures and then loaning out 4 sculptures.

The Greenville Art Museum initially had 12 sculptures on display. They added 3 more sculptures to their collection, which increased the total number of sculptures to 15. Afterwards, they loaned out 4 sculptures to another museum. To find out how many sculptures are still at the Greenville Art Museum, we subtract the number of sculptures loaned out from the total.

Starting with 15 sculptures, after loaning out 4, we do the following calculation:

15 - 4 = 11 sculptures

Therefore, the Greenville Art Museum now has 11 sculptures on display.

Answer:

a. rational numbers

Step-by-step explanation:

The number is between integers, so it can't be an integer or a whole number.

In general, 1.18 belongs to three sets of numbers.

Firstly, it is a rational number because it can be written in the form p/q where p and q are integers and q is not equal to zero.

1.18=[tex]\frac{118}{100}[/tex]

Secondly, all rational numbers are also real numbers and all real numbers are complex numbers.

But we have been given to choose from only rational numbers, irrational numbers, natural numbers or whole numbers.

So, the only answer is rational number.

If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

Answer:

$414.00

Step-by-step explanation:

At green deli employees earn double time for their over time.

Klein's regular hourly rate = $9.00

So, her overtime rate = $9 × 2 = $18.00

Ester Klein worked 43 hours this week.

40 hours regular work + 3 hours overtime

Her total pay this week = (40 × 9) + (3 × 18)

                                       = 360 + 54

                                       = $414.00

Her total pay this week is  $414.00