Simplify.
1 +4(3 - 3)

does anyone know the answer to thisssss ????

The square root of 7 is approximately 2.65 when rounded to the nearest hundredth.

Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.

A variable is anything that may be altered in the context of a mathematical notion or experiment. Variables are frequently denoted by a single symbol. .

a. Input variables: hours worked as a cashier, payroll clerk, and assistant.

The total amount earned each week is the output variable.

b. To determine the weekly total, multiply the number of hours worked at each job by the hourly rate and put them together. As a result, the equation would be:

Total weekly wage = (hours worked as a cashier x cashier hourly rate) + (hours worked as a payroll clerk x payroll clerk hourly rate) + (hours worked as an aide x rate per hour as an aide)

c. The amount of hours worked as an assistant is always 10 hours fewer than that of a payroll clerk. Therefore, if x denotes the number of hours worked as a payroll clerk, then the number of hours worked as an assistant may be denoted as (x - 10).

d. The equation describing the total money earned each week is as follows:

(20 x 9.5) + (x x 9) + ((x - 10) x 7) = y

This expression is simplified as follows:

y = 190 + 9x - 70 + 7x

y = 16x + 120

Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.

f. The realistic replacement values for x would be determined by the maximum number of hours you may work at each job as well as the amount of time available to work. Working 8 hours as a payroll clerk may be a reasonable substitute value if you have restricted availability, but 50 hours is unlikely.

g. If you do not work as an aide, you may calculate your total weekly income by setting the number of hours worked as an aide to zero in the calculation for the total amount earned each week. This results in:

y = 16x + 120 + 0

y = 16x + 120

As a result, the total weekly wage would be determined only by the number of hours performed as a cashier and payroll clerk.

To know more about variable visit:

https://brainly.com/question/2466865

#SPJ1

Answer:

Answer = 30° , 90° , 150°

Step-by-step explanation:

Hope it helps you

Answer:

y=45x-540

Step-by-step explanation:

Answer: L is (-5, 2) M is (0,6) N is (2,4)

Step-by-step explanation:

Answer:

1134

Step-by-step explanation:

Again I chose to separate the top half from the bottom.

top half: B*h=12*10*7=840

bottom half:21*7*2=294

add these two together 840+294=1134

Answer:

$4,816

Step-by-step explanation:

Answer:

4816$

Step-by-step explanation:

because 112 times 43$ is 4816

Answer:

Another rational number

Answer: 3/4

Step-by-step explanation: rise of 3 and a slope of 4

Answer:

$41

Step-by-step explanation:

Well he withdrew 1/4 of his savings which is basically 1/4 * 164

Step-by-step explanation:

A....

Solution ,

\( = \frac{h - 3}{3} = 3h \\ \)

\( = h - 3 = 9h\)

\( = h - 3 - 9h = 0\)

\( = h - 9h = 3\)

\( = - 8h = 3\)

Change the sign of both side

\( = 8h = - 3\)

\( = h = - \frac{3}{8 } \\ \)

B....

Solution,

\( = \frac{t}{2} = \frac{t + 1}{5} \\ \)

Multiply the both side by the least common multiple to eliminate the fraction...

\( = 5t = 2t + 2\)

\( = 5t - 2t = 2\)

\( = 3t = 2\)

\( = t = \frac{2}{3} \\ \)

Answer:

188,418

Step-by-step explanation:

114 is 95% of 120

100% of 120 is 120, therefore 95 percent of 120 equals 114. To learn how to solve 114 is 95 percent of what number, see the step-by-step instructions below.

114 is 95 Percent of What Number?

Formula = Number x 100

Percent = 114 x 100

95 = 120

The following shows the steps to derive this formula and find out 95% of the number is 114.

Step 1: If 95% of a number is 114, then what is 100% of that number? Set up the equation.

114

95% = Y

100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get

95Y = 114 x 100

95Y = 11400

Y = 11400

100 = 120

Answer:  The correct answer is:  " 40 mg ".
____
There are 40 mg ["40 milligrams" of fluoxetine in 10 mL of the solution given.

Explanation:

10 mL * (20 mg/ 5 mL)  =  __?__mg??

Solve for "?" ; our answer:
____

Given:  the concentration:  "20 mg/ 5 mL" ;

we can reduce this "fraction" ratio ; as a "unit rate" ;

that is:  "milligrams per single unit of mL" ;

    by dividing each side of the ratio/fraction by "5":
____

20 mg / 5 mL =  (20 ÷ 5) mg / (5 ÷ 5) mL
                       =   4 mg / mL ;

Now, with this "newly written" form of concentration:

We are asked: How many milligrams (mg) in 10 mL ?

→   10 mL (4 mg / 1 mL) ;  
    →  The units of "mL" cancel out to "1" ; [since:  "mL ÷ mL = 1 "] ;
And we have:
    10 * 4 mg ;

      = (10 * 4) mg ;

     =  40 mg .

____
The answer is:  " 40 mg " .

____
Hope this is helpful to you.  Best wishes!

____

The two prime numbers that add up to 100005, based on the properties of prime numbers would be 2 and 100003.

To find the two prime numbers, the relevant relationship would be  the Goldbach's Conjecture. This posits that every even number greater than 2 can be expressed as the sum of two prime numbers.

So, to write an odd number as the sum of two prime numbers, one of the prime numbers has to be 2 because we know that 2 is the only even prime number.

The other number would therefore be:

= 100005 - 2

= 100003

100003 is a prime number so the two prime numbers are 2 and 100003.

Find out more on prime numbers at https://brainly.com/question/29021547

#SPJ1

Step-by-step explanation:

A car is on a slope of 10degree above the horizontal . a force 1000N is applied to the car up the line of the slope. the car has amass of 500 kg . what is the acceleration of the car

1. The volume of the black bag is 1728 cubic inches. 2. The volume of the blue bag is 2700 cubic inches. 3. The black bag will fit in the Check Box. 4. The bigger suitcase is 27 times larger than the smaller suitcase.

Volume, which is commonly expressed in cubic units, is the amount of space occupied by a three-dimensional object. By multiplying an object's length, breadth, and height, as well as other formulas depending on the shape of the object, one can get the volume of the thing. Volume is a key concept in many practical applications, including calculating container capacity, constructing structures, and estimating the amount of material required for a construction project. Volume is utilised in many branches of mathematics, science, and engineering.

For the given dimensions of the bags we have:

1. The volume of the black bag is:

18 x 12 x 8 = 1728 cubic inches

2. The volume of the blue bag is:

18 x 15 x 10 = 2700 cubic inches

3. The black bag will definitely fit in the Check Box because its volume of 1728 cubic inches is less than the volume of the Check Box, which is 2772 cubic inches.

4. The ratio of bigger suitcase to smaller suitcase is:

75 x 20 x 18 = 27000 cubic inches

25 x 8 x 9 = 1800 cubic inches

27000 / 1800 = 27

The bigger suitcase is 27 times larger than the smaller suitcase.

5. Now, if the watermelons is about 10 inches long and 9 inches wide, then its height would be:

720 = 10 x 9 x H

720 = 90H

H = 8 inches

The maximum amount of watermelons that can fit are:

27000 / 720 = 37.5 watermelons = 37 watermelons.

Learn more about volume here:

https://brainly.com/question/1578538

#SPJ1

The modifications and their effects on the ecosystem include:

With the construction of the Los Angeles aqueduct, water was transported to the west such that many desert regions there became lush urban areas and farmlands.

Large high ways and the damming of the Colorado River did not have such a good impact however, as they both led to runoff and to water bodies in the Owen valley drying up.

Find out more on aqueducts at https://brainly.com/question/22124133

#SPJ1

Answer:

The three numbers are -4, 0, and 1.

The sum of three numbers is -3: -4 + 0 + 1 = -3

If the second number is subtracted from the sum of the first and third numbers, the result is -3: (-4 + 1) - 0 = -3

If the third number is subtracted from the sum of the first and second numbers, the result is -5: (-4 + 0) - 1 = -5

Step-by-step explanation:

x --> first number

y --> second number

z --> third number

x + y + z = -3

(x + z) - y = -3

(x + y) - z = -5

x = -3 - y - z

(-3 - y - z + z) - y = -3

-3 - y - y = -3

-2y = 0

y = 0

(-3 - y - z + y) - z = -5

-3 - z - z = -5

-3 - 2z = -5

-2z = -2

z = 1

x = -3 - 0 - 1

x = -4

Answer:

k is equal to 42

Step-by-step explanation:

The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.

To understand why this is the case, let's break down each expression and simplify them step by step:

StartRoot \(8 x^7 y^8\) EndRoot:

We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.

Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.

(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:

Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.

Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.

Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.

For more such questions on expression

https://brainly.com/question/1859113

#SPJ8

The new cost of the dress if it was sold for 95% of it original price is 76

Original cost of the dress= 80

Percentage amount the dress was sold = 95%

New price of the dress = Percentage amount the dress was sold × Original cost of the dress

= 95% × 80

= 0.95 × 80

= 76

Hence, the dress was sold for 76

Read more on percentage:

https://brainly.com/question/24877689

#SPJ1

Answer:

1 4/5 of a necklace, or 1.8 necklaces.

Step-by-step explanation:

As we know, an hour has 60 minutes, and Janet can make 3/5 of a necklace in 20 minutes. 60/20 is 3. So we need to mulitply 3/5 by 3 to get the amount of necklaces she can make in an hour. When we do this, we get 9/5. We can convert this to 1 4/5, and as decimal form, this is 1.8. That is our answer. I hope this helps!

Answer:

1/2x=+1/8

2

x+

1

8

Step-by-step explanation:

Answer:

1.45.1.46140_84that is answer pliess

Check the picture below.

so let's recall that the area of a circle is just πr² where r = radius, so since the sizes of each pizza are 10, 14, 18 and 22, that's simply their diameter, so that means they each have a radius half of that, or namely 5, 7, 9 and 11, as you see in the picture, so, hmmm which radius gives us the most area per the fraction provided, namely per slices provided?

\(\cfrac{4}{8}\pi 5^2\implies \cfrac{25\pi }{2} ~~ \approx ~~ 39.26~in^2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{3}{8}\pi 7^2\implies \cfrac{147\pi }{8} ~~ \approx ~~ 57.73~in^2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{2}{8}\pi 9^2\implies \cfrac{81\pi }{4}~~ \approx ~~ 63.62~in^2 ~~ \textit{\LARGE \checkmark} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{8}\pi 11^2\implies \cfrac{121\pi }{8}~~ \approx ~~ 47.52~in^2\)

Answer: Large

Step-by-step explanation:  Hope it helps Good luck!!!

Answer:

a and c

Step-by-step explanation:

Answer: The answer is B C and E

Step-by-step explanation: Well, because the question says on B This 30×10³= 3,000 Since it has 3 zeros it is right. And C is this problem 30×1,000= 3,000 That is correct because it has 3 zeros [ which can be 10³ ]. And lastly E its the same thing. And I hope this helped!

The cost of one small box of fruit and the cost of one large box of fruit is $11.5 and $14.5 respectively.

Let

cost of one small box of fruit = x

cost of one large box of fruit = y

15x + 15y = 390

20x + 25y = 592.50

From (1)

x + y = 26

x = 26 - y

Substitute x = 26 - y into (2)

20x + 25y = 592.50

20(26 - y) + 25y = 592.50

520 - 20y + 25y = 592.50

- 20y + 25y = 592.50 - 520

5y = 72.50

divide both sides by 5

y = 72.50/5

y = 14.5

Substitute y = 14.5 into

15x + 15y = 390

15x + 15(14.5) = 390

15x + 217.5 = 390

15x = 390 - 217.5

15x = 172.5

divide both sides by 15

x = 172.5/15

x = 11.5

Therefore, small box cost $11.5 and large box cost $14.5

Read more on simultaneous equation:

https://brainly.com/question/16863577

#SPJ1

We fail to reject the null hypothesis and conclude that the evidence is not sufficient to reject the claim.

1. State the hypotheses. H₀ and H₁.

H₀: Jeep MPG ≤ 28.6

H₁ :Jeep MPG > 28.6

2. Determine the value of the level of significance.

The level of significance is 5% for a 95% confidence level. This corresponds to a Z score of 1.96 from the Z-table.

3.Find the value of the test statistic.

Test statistic = (x - mean) ÷ SE

where SE = standard deviation ÷ sqrt(sample size) = (29 - 28.6) ÷ (√6.25 ÷ √(240))

test statistic = 2.48

4. Specify if the test is one tailed or two tailed.

The test is one-tailed since the initial question was: Is there sufficient evidence at the 0.05 level that the jeeps outperform, i.e. is greater than, the manufacturer's MPG rating

5. Find the P-value of the test statistic.

The p-value or the area under the curve that is represented by a z statistic of 2.48 is  0.006569.

6. Determine the conclusion.

Fail to Reject Null Hypothesis since value of test statistic is less than Z critical or the value of Z that corresponds to a p value of .02.

Read more about Hypotheses Problems at; https://brainly.com/question/25263462

#SPJ1