g precalc Linda works 30 hours per week between two part-time jobs: When she works as a waitress she receives $11.75 per hour and when she works as a math tutor she received $ 17.5 0 per hour. Since she has only 30 hours each week that she can work, the more hours she spends at one job, the fewer number of hours she can work at the second job. If Linda worked a total of 30 hours last week and she worked 9 of these hours as a waitress, how much money did she make last week working at both jobs

Find the tip:

$120 * 18% =

$120 * 0.18 =

$21.60

Find the tax:

$120 * 6% =

$120 * 0.06 =

$7.20

Find the answer:

$120 + $21.60 + $7.20 =

$148.80

9514 1404 393

Answer:

  46 24/25 in

Step-by-step explanation:

Opposite pairs of sides are the same length, so the total length needed is ...

  2(8 4/5 +14 17/25) = 2(8 20/25 +14 17/25) = 2(22 37/25) = 2(23 12/25)

  = 46 24/25 . . . inches

Answer:

0.02 × 100 = 2

Step-by-step explanation:

move the decimal 2 steps backward according to the numbers of zeros behind the multiplier(100).

0.02 × 100 = 2

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Answer:

Step-by-step explanation:

Answer:

We can use the formula for compound interest to find the amount that needs to be deposited:

A = P(1 + r/n)^(nt)

where:

A = accumulated amount

P = principal amount (amount to be deposited)

r = annual interest rate (as a decimal)

n = number of times interest is compounded per year

t = time in years

In this case, we have:

A = R197 000

r = 0.12 (12% as a decimal)

n = 4 (quarterly compounding)

t = 5 years

Substituting these values into the formula, we get:

R197 000 = P(1 + 0.12/4)^(4 x 5)

Simplifying:

R197 000 = P(1.03)^20

P = R197 000 / (1.03)^20

P = R94 838.36 (rounded to the nearest cent)

Therefore, the amount that needs to be deposited today is R94 838.36.

The exponent in the term 5x⁶ is of the expression 6

From the question, we have the following parameters that can be used in our computation:

Expression: 5x6+3yr-7yz2+2y/z

Rewrite the expression properly

So, we have the following representation

5x⁶ + 3yr - 7yz² + 2y/z

From the above expression, the spotlight is on the first term

i.e. 5x⁶

Considering an expression represented as axⁿ

Where x is a variable, the exponent is n

Using the above as a guide, we have the exponent of 5x⁶ to be 6

Hence, the exponent is 6

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Answer:21

Step-by-step explanation:

Look at attatched file.

Answer:

1.8 inches

Step-by-step explanation:

Answer:

5+n/9=3

Step-by-step explanation:

I'm confused, I'm not sure if the 12 you added to the problem is like the number of the problem or part of the problem, but my answer is going to be with the 12 as part of the problem.

Answer:  19/4 or 4 3/4 or 4.75

Step-by-step explanation: First you have to use the PEMDAS, which means first you have to do the parenthesis first, so add the 1/4 to the 1/3 which equals 7/12. so do that to the second power and then multiply the 12 and add the 2/3 which gets you 19/4

The perimeter is 120m

The area of the figure is 432\(m^{2}\)

How to find the area and perimeter of the figure?

Consider the triangle,

Side A = 15m

Side B = 15m

Side C=  18m

Perimeter = a + b+ c

                = 15+ 15+ 18

                = 48m

Height h = 12m

Base = b=  18m

Area  = \(\frac{1}{2} bh\)

         \(=\frac{1}{2} *18*12\)

         = 108\(m^{2}\)

Consider the square,

Side = a = 18m

Perimeter = 4a

Perimeter = 72m

Area =  \(a^{2}\)

        =324 \(m^{2}\)

Consider the figure,

The perimeter of the figure = Perimeter of the triangle + Perimeter of the square

                        = 48+ 72

                        = 120m

The area of the figure = 108 + 324

                                     = 432\(m^{2}\)

The perimeter is 120m

The area of the figure is 432\(m^{2}\)

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They may bake 20 additional bags of cookies. The problem is represented by the inequality x < 80.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

Given, A bakery wants to bag at most 100 cookies into cookie packs. Each cookie pack has 4 cookies. They have already bagged 20 cookies.

Since each cookie pack can hold 4 cookies

Thus, 100 cookies will require = 100/4 packs

100 cookies will required = 25 packs

Since They have already bagged 20 cookies.

Thus,

The total pack they used = 20/4

The total pack they used = 5

Inequality:

let "x" be the number of cookies they can make

80 > x

Therefore, 20 more bags of cookies they could make. the inequality that represents the situation is x< 80.

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The statement correctly describes the perpendicular bisector construction below The construction of JK to bisect GH: Option D is the correct answer

The term perpendicular bisector refers to the line that divides another line into two equal parts, making an angle of 90 degrees. The term is made up of two words, perpendicular and bisector.

Perpendicular refers to angle 90 degrees, while the bisector refers to dividing into two equal parts.

In the picture, the main line is GH while JK is the line constructed to bisect the main line

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The expression 9²+5.2-1³/2⁴-6 is 80.1375.

To evaluate this expression, we need to follow the order of operations, which is commonly remembered as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).

Using this order of operations, we first need to evaluate the exponentiation operation:

9² = 9 x 9 = 81

Next, we evaluate the exponentiation in the denominator:

2⁴ = 2 x 2 x 2 x 2 = 16

Now we can substitute the values we found into the expression and simplify:

81 + 5.2 - 1³ / 16 - 6

= 81 + 5.2 - 1 / 16 - 6

= 81 + 5.2 - 0.0625 - 6

= 80.1375

Therefore, 9²+5.2-1³/2⁴-6 is equal to 80.1375.

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Answer:

It's F. none of the points

Step-by-step explanation:

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

6.11/104

Answer:

The 96% confidence interval for the average IQ score of all seventh-grade girls in the school is (105, 111.6).

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 31 - 1 = 30

96% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 30 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.96}{2} = 0.98\). So we have T = 2.15

The margin of error is:

\(M = T\frac{s}{\sqrt{n}} = 2.15\frac{15}{\sqrt{31}} = 5.8\)

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 105.8 - 5.8 = 105.

The upper end of the interval is the sample mean added to M. So it is 105.8 + 5.8 = 111.6

The 96% confidence interval for the average IQ score of all seventh-grade girls in the school is (105, 111.6).

Given : Big cargo box measures 12m x 6m x 5m

Volume of the Box : Length x Breadth x Height

Volume of the Big cargo box : (12 × 6 × 5) = 360 m³

We know that : 1m = 100cm

Volume of the Big cargo box : 360 (100cm)³

Volume of the Big cargo box : 360 × 100³ × cm³

Given : Small box measures 40cm x 25cm x 10cm

Volume of the Small box : (40 × 25 × 10) = 10000 cm³

Small boxes which can be put into Big cargo box :

\(\bigstar \ \ \boxed{\dfrac{\textsf{Volume of the Big cargo box}}{\textsf{Volume of one small box}}}\)

\(\sf{\implies \dfrac{360 \times 100^{3}}{10000}}\)

\(\sf{\implies {36000}\)

Answer : 36000 small boxes can be put into Big cargo box

Answer: Amplitude is 108 degrees

Step-by-step explanation:

To determine the amplitude of the tip of King Arthur's Sword, we need to understand the shape of the sword's blade, which consists of a regular hexagon and a regular pentagon.

A regular hexagon has six equal sides and six equal angles, each measuring 120 degrees. The regular pentagon, on the other hand, has five equal sides and five equal angles, each measuring 108 degrees.

Since the tip of the sword is formed by the meeting point of the hexagon and pentagon, it will be at the apex of the pentagon. The apex of the pentagon will have an angle of 108 degrees.

I hope this helps!!!

Let the length of rectabgle be l and width of rectangle be b.

The equation for the area of rectangle is,

The equation for perimeter of rectangle is,

Substitute 23 - b for l in the equation lb

The equation of the line that passes through the point (-3, 7) and has a slope of -5/3 is y - 7 = (-5/3)(x + 3).

We are given the point (-3, 7) and the slope of the line as -5/3.The slope-intercept form of a line is y = mx + b where m is the slope and b is the y-intercept.

To obtain the equation of the line, we need to substitute the values of slope and point in the slope-intercept form and solve for b.(7) = (-5/3)(-3) + b 21/3 = b.

Now we have the value of b, and we can substitute the values of m and b in the slope-intercept form.y = (-5/3)x + 21/3 is the equation of the line in slope-intercept form.

To obtain the equation in the standard form Ax + By = C, we multiply each term by 3.3y = -5x + 7Add 5x to both sides5x + 3y = 7.

This is the equation of the line in standard form.

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(a) T is not additive and not a linear transformation.

(b) L is homogeneous.

(a) To determine whether T: R2 R2 given by \(T(x,y) = (x+y+1, x+y)\) is a linear transformation, we need to check whether it satisfies two properties:

\(T(u+v) = T(u) + T(v) for any u,v\) in R2 (additivity)

\(T(cu) = cT(u)\)   for any scalar c and any u in R2 (homogeneity)

Let's check these properties:

\(T(u+v) = T(x1+y1, x2+y2) = (x1+y1+x2+y2+1, x1+y1+x2+y2)\\T(u) + T(v) = T(x1,y1) + T(x2,y2) = (x1+y1+1, x1+y1) + (x2+y2+1, x2+y2)\\= (x1+y1+x2+y2+2, x1+y1+x2+y2)\\T(u+v) ≠ T(u) + T(v)\)

Therefore, T is not additive and not a linear transformation.

\(T(cu) = T(cx, cy) = (cx+cy+1, cx+cy)\\cT(u) = cT(x,y) = c(x+y+1, x+y)\\= (cx+cy+c, cx+cy)\)

\(T(cu) \neq cT(u)\)

Therefore, T is not homogeneous and not a linear transformation.

(b) To determine whether L: P2 -> P2 given by\(L(p(x)) = p(x) + p(x^2)\) is a linear transformation, we again need to check whether it satisfies additivity and homogeneity.

\(L(p(x) + q(x)) = (p(x) + q(x)) + (p(x^2) + q(x^2))\\= (p(x) + p(x^2)) + (q(x) + q(x^2))\\= L(p(x)) + L(q(x))\)

Therefore, L is additive.

\(L(cp(x)) = cp(x) + cp(x^2) = c(p(x) + p(x^2)) = cL(p(x))\)

Therefore, L is homogeneous.

Since L satisfies both additivity and homogeneity, it is a linear transformation.

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Let's use cosine function to find the distance between the wall and the bottom of the ladder:

Answer:

8 29/42

Step-by-step explanation:

5/6 + 7 6/7 = 35/42 + 7 36/42 = 7 71/42 = 8 29/42

Answer: 1/8

Step-by-step explanation:

First make the bottom half the same:

3/4*2/2=6/8

We don’t need to change the first portion since they have a common factor

7/8-6/8=1/8