Sally earns a weekly salary of $450 plus a 6. 5% commission on sales at a boutique. How much would she make in a work week if she sold $650 worth of merchandise?

There are \(\frac{60!}{57!}\) ways we can do it.

Since organization has 60 members from which we haveto pick one person at random to be the president, another person to be the vice president and a third person to be the transformer,

the president can be select in 60c1 = \(\frac{60!}{1! 59!}\)

                                                           = \(\frac{60 *59!}{1*59!}\)

                                                           = 60 ways

After this for vice president we have 59 members from which vice president can be select in 59c1 = 59 ways.

and for treasure we have 58 members from which treasure can be select in 58c1 = 58 ways.

∴ No. of ways in which we can select president, vice president and treasure = 60 × 59 × 58

              =  \(\frac{60 * 59 * 58 * 57!}{57!}\)

              =  \(\frac{60!}{57!}\)

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When the Ellisons' home is insured for $890,000, the amount of personal property coverage is 445,000.

How much of whatever there is, whether it be liquid, resistance, or stimulation, is referred to as its amount. The word "amount" actually refers to quantities that we can measure but not count individually. When describing the size or number of non-count nouns, the word "amount" is employed. quantities, amounting, and amounted. flexible noun The quantity of something is how much there is, how much you have, how much you require, or how much you obtain.

given

400,500 is the personal liability coverage amount = 890000/100 * 45%.

The personal property coverage amount is 890000/100 * 50% = 445000.

The coverage for loss of use is 890000/100 * 20%, which equals 178000.

When the Ellisons' home is insured for $890,000, the amount of personal property coverage is 445,000.

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Answer:

D or A not sure yet

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

vgghjbghfdfghhbbuuj

قيمة x تساوي أربعين

أتمنى أن يساعد :)

\(\large\underline{\sf{Solution-}}\)

Given that,

→ In triangle KML, P and N are the points on KK and KM respectively such that

\(\rm \longmapsto\:KN = c\)

\(\rm \longmapsto\:NM = b\)

\(\rm \longmapsto\:PN = x\)

\(\rm \longmapsto\:LM = a\)

\(\rm \longmapsto\: \angle \: KNP = 50 \degree\)

\(\rm \longmapsto\: \angle \: LKM = 50 \degree\)

Now,

\(\rm \longmapsto\: In \: \triangle \: LKM \: and \: \triangle \:KNP\)

\( \purple{\rm \longmapsto\:\angle \:PKN \: = \: \angle \:PKN \: \: \: \: \: \{common \}}\)

\( \purple{\rm \longmapsto\:\angle \:KNP \: = \: \angle \:KML \: \: \: \: \: \{each \: 50 \degree \}}\)

\( \purple{\rm\implies \:\triangle \:LKM \: \sim \: \triangle \:PKN \: \: \: (AA \: similarity)}\)

\(\bf\implies \:\dfrac{KN}{KM} = \dfrac{PN}{LM} \)

\(\rm \longmapsto\:\dfrac{c}{b + c} = \dfrac{x}{a} \)

\(\bf\implies \:x \: = \: \dfrac{ac}{b + c}\)

\(\textsf{Hope this helps!!}\\\)

Answer:

Step-by-step explanation:

Hope this helps!

Answer: Yes

Yes, you always have to line the decimals when you subtract decimals.

Example:

  0.65

 -0.25

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

  0.45

Hope this helps!

Answer:

The equation is unsolvable when the 'a' variable is in it, so if we take it out, then all of them would make the equation open up.

Sorry for not giving a definite answer, but that is what I got.

Hope that this helps!

The inverse function of f(x) = ∛(x-1) + 4 is f⁻¹(x) = (x - 4)³ + 1

Given the function in the question:

f(x) = ∛(x-1) + 4

To find the inverse of f(x), we need to switch the roles of x and y in the equation and then solve for y.

f(x) = ∛(x-1) + 4

Let y = f(x) = ∛(x-1) + 4.

y = ∛(x-1) + 4

Now, we can rewrite this equation in terms of x as follows:

x = ∛(y-1) + 4

Subtracting 4 from both sides, we get:

x - 4 = ∛(y-1)

Cubing both sides, we get:

(x - 4)³ = y - 1

Adding 1 to both sides, we get:

y = (x - 4)³ + 1

Replace y with f⁻¹(x)

f⁻¹(x) = (x - 4)³ + 1

Therefore, the inverse function is  f⁻¹(x) = (x - 4)³ + 1.

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The sum of the series converges to 7 / (1 + 2z), and the domain for which it converges is -1/2 < z < 1/2.

To find the sum of the given geometric series\(7−14z+28z^2−56z^3+\)⋯, we need to first identify the first term (a) and the common ratio (r).
Step 1: Identify the first term (a)
The first term is 7.
Step 2: Identify the common ratio (r)
Observe the series and find the ratio between consecutive terms:
-14z / 7 = -2z
\(28z^2 / -14z = -2z\)
\(-56z^3 / 28z^2 = -2z\)
The common ratio is -2z.
Step 3: Determine the convergence of the series
A geometric series converges when the absolute value of the common ratio (|r|) is less than 1:
| -2z | < 1
To solve for the domain of z, we need to find the values for which this inequality holds:
-1 < -2z < 1
Divide all parts of the inequality by -2, and remember to reverse the inequality signs when dividing by a negative number:
1/2 > z > -1/2
Step 4: Find the sum of the converging series
For a converging geometric series, the sum can be calculated using the formula:
sum = a / (1 - r)
Plug in the values of a and r:
sum = 7 / (1 - (-2z))

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Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

Answer:

2x + 4

Step-by-step explanation:

I'm guessing there are no exact numbers

home = x + 4

school = x

x + x + 4

2x + 4

60% as a decimal is 0.60

Multiply the distance by 0.60:

150 x 0.60 = 90 miles.

Answer:

90

Step-by-step explanation:

60 percent is the same as 0.6

150 * 0.6 = 90

Answer:

arrow to the right no filled in dot

Step-by-step explanation:

the (>) shows you which direction the thing is going

in this situation you just have to simplify the problem

4x+2=10

-2. -2

4x=8

x=2

x>2

Answer:

You would put it on 10 and use the arrow pointing the right with a open dot. (The dot should not be filled in and looks like a bubble.)

Step-by-step explanation:

Answer:

B. 0.3354

Step-by-step explanation:

Edge

By definitions of line segment and midpoint, we find that \(\overline{TU} \cong \overline {UV}\).

In this problem we find a line segments partitioned in four parts by using midpoints, each of them are listed below:

A point within a line segment is a midpoint if and only if it partitions the line segment into two parts of equal length. If point U is the midpoint of line segment SW, then SU = UW. If point T is the midpoint of SU, then ST = TU and if point V is the midpoint of UW, then UV = VW. Finally, we get the following result by algebraic handling:

SU = UW

ST + TU = UV + VW

2 · TU = 2 · UV

TU = UV

\(\overline{TU} \cong \overline {UV}\)

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The solution to the given system of equations is x = 2, y = -1, and z = 1.

To solve the system of equations, we can use methods such as substitution or elimination. Here, we will use the method of elimination to find the values of x, y, and z.

First, let's eliminate the variable x by multiplying equation (1) by 2 and equation (3) by -1. This gives us:

2x + 4y - 2z = -6 (4)

-x + y - z = -4 (5)

Next, we can subtract equation (5) from equation (4) to eliminate the variable x:

5y - z = 2 (6)

Now, we have a system of two equations with two variables. Let's eliminate the variable z by multiplying equation (2) by 2 and equation (6) by 1. This gives us:

4x - 2y + 2z = 10 (7)

5y - z = 2 (8)

Adding equation (7) and equation (8), we can eliminate the variable z:

4x + 5y = 12 (9)

From equation (6), we can express z in terms of y:

z = 5y - 2 (10)

Now, we have a system of two equations with two variables again. Let's substitute equation (10) into equation (1):

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

x - 3y + 2 = -3

x - 3y = -5 (11)

From equations (9) and (11), we can solve for x and y:

4x + 5y = 12 (9)

x - 3y = -5 (11)

By solving this system of equations, we find x = 2 and y = -1. Substituting these values into equation (10), we can solve for z:

z = 5(-1) - 2

z = -5 - 2

z = -7

Therefore, the solution to the given system of equations is x = 2, y = -1, and z = -7.

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Answer:

See explanation.

Step-by-step explanation:

Tyler wrote everything correct, except he multiplied some incorrectly. 2x times 5 is 10x, not 7x. And 3 times 5 is 15, not 8. The bottom left and right boxes are incorrect.

Answer:

5×2x is 10x and 5× 3 is 15, because you multiply both the vertical and horizontal figures by each other so x which is the vertical will multiply 2x and 3 which are horizontal

Camden purchased 4 cans of soup and 3 frozen dinners.

We can solve this problem by using a system of two linear equations.

Let x be the number of cans of soup purchased and y be the number of frozen dinners purchased.

Then, based on the information given, we can set up two equations as follows:

150x + 300y = 1500 (the total amount of sodium consumed is 1500 mg)

x + y = 7 (Camden purchased 7 cans of soup and frozen dinners)

Now, we can use either substitution or elimination to find the values of x and y.

Using substitution:

Solve the second equation for y: y = 7 - x

Substitute the expression for y into the first equation: 150x + 300(7 - x) = 1500

Simplify the expression: 150x + 2100 - 300x = 1500

Combine like terms: -150x + 2100 = 1500

Solve for x: -150x = -600

Divide both sides by -150: x = 4

Use the second equation to find y: y = 7 - x = 7 - 4 = 3

So, Camden purchased 4 cans of soup and 3 frozen dinners.

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Answer:

11/12

Step-by-step explanation:

The product of One-fourth times three and two-thirds will be 1 / 2.

Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.

Given that, the numbers are one-fourth times three and two-thirds. The product of the numbers will be calculated as,

Product =  ( 1 / 4 ) x ( 3 ) x ( 2 / 3 )

Product = 6 / 12

Product = 1 / 2

Therefore, the product of One-fourth times three and two-thirds will be 1 / 2.

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Answer:

x = 4 , y = 2

Step-by-step explanation:

3x+9y = 30 --------- (1)

2(3x+9y)+x = 64 ---------(2)

substitute (1) into (2)

2(30)+x = 64

60+x = 64

x = 64-60

x = 4

substitute x=4 into (1)

3x+9y = 30

3(4)+9y = 30

12+9y = 30

9y = 30-12

9y = 18

y = 18/9

y = 2

thus, x = 4 and y = 2

The value of missing side length(m) in ΔQRS is 15 cm.

How to solve the sides of triangle?

ΔABC ~ ΔQRS

The sides of the triangle will be in equal ration of one another.

i.e., AB/AC = QR/QS

3/1 = m / 5

m = 15 cm

Hence, The value of missing side length(m) in ΔQRS is 15 cm.

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Answer:

The answer is 48 miles.

My Logic

If you divide 264 into 11, then you will get 24. 24 is the cars MPG. Then you can Multiply 24 by 2 and you get the answer. Hope this is helpful!

Answer:

Step-by-step explanation:

sorry I can’t see too well but I see one standing up straight and one on it’s side the one up straight is x=to whatever that point is it is intersecting with and the one laying down is y=to whatever it is intersect with on the y axis

the other ones you use the rise over run method to find the slope and put it next to x and then where the line intersects with y axis add that number to the slope and it should look like y=mx+b where m is the slope and b is the y intercept

hopes this helps please mark brainliest

Answer:

$3.39

Step-by-step explanation:

40.68 / 12 = 3.39

Answer:

451.92

Explanation:

(Please tell me if this is wrong, or if you want the equation or something)

According to the problem, a 1/3 cup of beans is equivalent to 4 servings. To know the number of cups of beans for 28 servings, we just have to use the rule of three.

The formula for the volume of a rectangular prism is \(V = whl\), where \(V\) is the volume, \(w\) is the width, \(h\) is the height, and \(l\) is the length. We can calculate the volume by substituting our values into this formula and solving.

\(V = 12 \cdot 2 \cdot 3\\V = 72\)

So, our answer is \(\boxed{72 \text{ ft}^2}\).

If the question is asking you for the number of cubes that we can fit, we replace each length with cubes that are \(1 \cdot 1 \cdot 1 \text{ ft}^3\), which are the largest cubes you can fit without overlap, you fit 72 cubes in the prism, each of length \(1 \text{ ft}\).

Answer:

i believe the answer is 1/9, sry if im wrong

Step-by-step explanation:

Ursula can make 2 batches of brownies with fraction 1/2 cup of butter.  

To find out how many batches of brownies Ursula can make with fraction 1/2 cup of butter, we need to divide the total amount of butter by the amount of butter needed for each batch.

Since Ursula uses fraction 1/4 cup of butter to make one batch of brownies, we can set up the following equation:

1/2 ÷ 1/4

To divide fractions, we can invert the second fraction and multiply:

1/2 x 4/1 = 4/2 = 2

So Ursula can make 2 batches of brownies with fraction 1/2 cup of butter.

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