hey yall uh please help me i need this done asap! i'll give the brainliest thingamabob to whoever answers me :))
A salesman's salary is $9 per hour plus $250 in sales commission. His total weekly pay this week was $565. How many hours did the salesman work this week? Write an equation to model and solve the problem. Explain the answer in terms of the problem. Show all work.
muah

Answer:

Area: 16.65m^2 (^2 means to the power of 2 exponent, or squared)

Perimeter: 26.3 m

Step-by-step explanation:

Triangle Area formula: bh/2

Plug it in: (7.4)(4.5)/2=16.65

Perimeter: Add the sides

12.6+7.4+6.3=26.3

Answer:

Step-by-step explanation:

Remark

Here are the formulas for what you are asking for.

P = s1 + s2 + s3

Area = height * base / 2

Givens

s1 = 12.6

s2 = 6.3

s3 = 7.4

height = 4.5

base = 7.4

The area is just slightly different than it normally is. The reason is the height. It is not directly connected to the base. The construction is called the base extended.  See the givens for what that is.

Solution

Perimeter

P = s1 + s2 + s3                        Substitute givens into the formula

P = 12.6+6.3 + 7.4

p = 26.3

Area

Area = (B * H)/ 2

Area = 7.4 *4.5 / 2

Area = 16.65

The percent of the clothe required to make doll outfit as per given cost price and selling price is equal to 59.91%.

Cost price of the material for one outfit = $9.38

Selling price of the outfit = $15

Selling price is greater than cost price

⇒Profit = Selling Price - Cost price

Substitute the value to get profit,

⇒ Profit = $15 - $9.38

⇒ Profit = $5.62

Percent Markup = (Profit / Cost price ) x 100

Substitute the value we get,

⇒Percent Markup = ($5.62 / $9.38) x 100

⇒Percent Markup = 59.9147%

⇒Percent Markup = 59.91

Therefore, the percent markup of the making doll outfit is approximately 59.91%.

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The above question is incomplete, the complete question is:

Keri is making a doll clothes for a holiday craft show. The wholesale cost of the materials for one outfit is $9.38. If she sells an outfit for $15, what is the percent of the markup?

The volume should be 7168 yards

The area for the floor should be 14,336 yards

Warehouse details:

64 yds long

28 yds wide

8 yds high

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

What is the area of the warehouse​ floor?

the base of the warehouse is 64*28

which is 1792 yds squared

1792 yards squared

If the warehouse is filled to half its height with tightly packed​ boxes, what is the volume of the​ boxes?

half the height of the warehouse is 8/2=

4 yards

the volue of half the warehouse is

1792 * 4 = 7168 yds squared

I'm not quite sure how they want me to answer this but this is all that I got

(this part below can't be trusted)

either the boxes can be 1x1x1 which means 7168 boxes will fit

either the boxes can be 2x2x2 which means 896 boxes will fit

either the boxes can be 3x3x3 which means 265.481481 boxes will fit, which is definetly not it because they said "filled...tightly packed boxes".

plus, we don't know if the boxes are square or rectangle so I'm not sure

to convert 25min into hours we divide 25 by 60 so the answer would be 0.416 hours

the formula to find the distance is we multiply speed and time so

distance=4km/p X 0.416 hours =1.664

so now we have the first answer

now we do the same thing for the other part of the question

distance= timeXspeed

distance=0.416X3=1.248

then we add to find total distance

1.248+1.644=2.912

2.912 is the total distance

The solution of the  expression 6 × \(\frac{1}{4}\) × (12 - 3) using order of operations rule BODMAS/PEMDAS is 13.5.

What is BODMAS?

BODMAS is acronym for B is for Bracket, O is for Of, D is for Division, M is for Multiplication, A is for Addition, and S is for Subtraction. This rule is used to explain the order of operation of a mathematical expression and solve the expression in case it has more than one operational signs. BODMAS is same as PEDMAS which i acronym for P-Parentheses, E-Exponents, D-Division, M-Multiplication, A-Addition, and S-Subtraction.

Here the expression is:

6 × \(\frac{1}{4}\) × (12 - 3)= 6 × \(\frac{1}{4}\) × (9) {solving the brackets}

                      = 54 × \(\frac{1}{4}\)

                      = 13.5

The value of given expression is 13.5

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The solution of the  expression is using order of operations rule BODMAS/PEMDAS is 13.5.

BODMAS stands for Bracket, Of, D, Multiplication, Multiplication by One, Addition by One, and Subtraction by One. This rule is used to specify the order of operations in a mathematical equation as well as to solve expressions with multiple operational signs. P-Parentheses, E-Exponents, D-Division, M-Multiplication, A-Addition, & S-Subtraction are collectively referred to as PEDMAS. BODMAS stands for the same thing.

The abbreviation BODMAS was created to aid kids in remembering the right order to carry out mathematical operations when solving problems.

Here the expression is:

6 × 1/4 × (12 - 3)= 6 × 1/4 × (9) {solving the brackets}

                     = 54 × 1/4

                     = 13.5

The value of given expression is 13.5

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Answer:

x=54/ 7 , 30/7

Step-by-step explanation:

x=54/ 7 , 30/7

Answer:

\(x=1\quad \mathrm{or}\quad \:x=11\)

Step-by-step explanation:

\(-7 - | x- 6| = - 12\\\\ \mathrm{Add\:}7\mathrm{\:to\:both\:sides}\\-7-\left|x-6\right|+7=-12+7\\\\Simplify\\-\left|x-6\right|=-5\\\\\mathrm{Divide\:both\:sides\:by\:}-1\\\frac{-\left|x-6\right|}{-1}=\frac{-5}{-1}\\\\Simplify\\\left|x-6\right|=5\\\\\mathrm{Apply\:absolute\:rule}:\\\quad \mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a\\\\x-6=-5\quad \mathrm{or}\quad \:x-6=5\)

\(x-6=-5\quad :\quad x=1\\\\x-6=5\quad :\quad x=11\\\\\mathrm{Combine\:Solutions:}\\\\x=1\quad \mathrm{or}\quad \:x=11\)

Answer:

second one should be 80 as far as I can think

The list of potential rational zeros for the given polynomial f(x) = 5x⁴ - 7x - 4 is:

±1, ±1/5, ±2, ±2/5, ±4, ±4/5

To find the potential rational zeros of the given polynomial function f(x) = 5x⁴ - 7x - 4 using the Rational Zeros Theorem, we need to consider all possible ratios of factors of the constant term (-4) to factors of the leading coefficient (5).

The Rational Zeros Theorem states that if a polynomial function has a rational zero p/q, where p is a factor of the constant term and q is a factor of the leading coefficient, then p must be a factor of the constant term (-4) and q must be a factor of the leading coefficient (5).

The constant term (-4) has factors ±1, ±2, and ±4, and the leading coefficient (5) has factors ±1 and ±5.

Therefore, the potential rational zeros are obtained by taking all possible combinations of the factors:

±1/1, ±1/5, ±2/1, ±2/5, ±4/1, ±4/5

Simplifying the fractions, we get:

±1, ±1/5, ±2, ±2/5, ±4, ±4/5

So, the list of potential rational zeros for the given polynomial f(x) = 5x⁴ - 7x - 4 is:

±1, ±1/5, ±2, ±2/5, ±4, ±4/5

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The slope of the line is -6/5

It is important to note that the formula for the equation of a line is given as;

y = mx + c

Where;

The formula for slope of a line is expressed as;

Slope, m = y₂ - y₁/x₂ - x₁

Given the points,

A(-2. 4)

B (3, -2)

Substitute the values

Slope, m = -2 - (4)/3 - (-2)

simply the values

Slope, m = -2- 4/3 + 2

Add or subtract the values

Slope, m = -6/5

Hence, the value is -6/5

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Answer:

It's 54 Degrees

Step-by-step explanation:

Movie started at 22 : 45 and ended at 01 : 32.

total watching hours :

I hope it helped !!

Answer: The product of (abc) is (-2/3)(1/3)(-1) = 2/9.

Answer:

It would be 55,200

Step-by-step explanation:

If she assumes her raise goes up by 5 % each year, her raise i n.  4 years will be 20%.  So, 46,000x0.2= 9200. 9200+ 46,000 = 55,200.

Michael will need 54 yards of fencing.

Dimensions of Michael's rectangular yard =  22 yards, 16 yards

Length of Michael's rectangular yard = 22 yards

Breadth of Michael's rectangular yard = 16 yards

Perimeter of Michael's yard = 2 [l+b] = 2 [22+16]   = 2×38 = 76 yards                            

As Michael nee

ds to fence only 3 sides leaving a long side, so he needs to fence = perimeter - length = 76-22 = 54 yards

Hence, Michael will need 54 yards of fencing.

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The equation of the line that has a slope of -7/3, has an x intercept at (-9,0) passes through the point (6,-35) is y = (-7/3)x - 21

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

The standard equation of a straight line is:

Ax + By = C

Where A, B and C are constants

The slope intercept form is:

y = mx + b

Where m is the rate of change and b is the y intercept

Given that the line has a slope of -7/3 has an x intercept at (-9,0) passes through the point (6,-35). Using the slope and y intercept:

y - y₁ = m(x - x₁)

y - 0 = (-7/3)(x - (-9))

y = (-7/3)x - 21

The equation of the line is y = (-7/3)x - 21

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Answer:

73

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

less than means it comes after

-3/4 - 1/4

-4/4

-1

Answer:

First term = 53,

Step-by-step explanation:

a10 = a1 + (10 - 1)d so:

98 = a1 + 9*5

a1 = 98 - 45

    = 53,

Answer:

b=(7-sqrd85/6), b=(7+sqrd85/6)

Step-by-step explanation:

3b^2-7b+3=6

3b^2-7b+3-6=0

3b^2-7b-3=0

a=3, b=-7, c=-3

b=7+-sqrd49+36/6

b=(7-sqrd85/6), b=(7+sqrd85/6)

Answer:

\(\displaystyle \frac{7 + \sqrt{85}}{6}\) and \(\displaystyle \frac{7 - \sqrt{85}}{6}\).

Step-by-step explanation:

(Replace \(b\) with \(x\) to avoid confusion with symbols in the quadratic equation.)

Notice that the equation \(3\, x^{2} - 7\, x + 3 = 6\) is quadratic with respect to the unknown \(x\). Rewrite the equation in standard form \(a\, x^{2} + b\, x + c = 0\) before applying the quadratic equation:

\(3\, x^{2} - 7\, x + 3 = 6\).

\(3\, x^{2} - 7\, x + 3 - 6 = 0\).

\(3\, x^{2} + (- 7)\, x + (-3) = 0\).

Thus, for the quadratic equation, \(a = 3\), \(b = (-7)\), and \(c = (-3)\). Apply the quadratic equation to find the solutions:

\(\begin{aligned}x &= \frac{-\, b + \sqrt{b^{2} - 4\, a\, c}}{2\, a} \\ &= \frac{-(-7) + \sqrt{(-7)^{2} - 4 \times 3 \times (-3)}}{2 \times 3} \\ &= \frac{7 + \sqrt{85}}{6}\end{aligned}\).

\(\begin{aligned}x &= \frac{-\, b - \sqrt{b^{2} - 4\, a\, c}}{2\, a} \\ &= \frac{-(-7) - \sqrt{(-7)^{2} - 4 \times 3 \times (-3)}}{2 \times 3} \\ &= \frac{7 - \sqrt{85}}{6}\end{aligned}\).

Answer:

18. Huan sold 18 pizza's. 23 - 5 = 18.

You can also start at 23, and count down to 5.

Step-by-step explanation:

To construct an interval, estimate for mu with 95% confidence for the first question, we use the formula:
Interval estimate = x ± (zα/2 * σ/√n)

where x is the sample mean, σ is the known population standard deviation, n is the sample size, zα/2 is the z-score corresponding to the desired confidence level (in this case, 1.96 for 95% confidence). Plugging in the values, we get:

Interval estimate = 850 ± (1.96 * 50/√100) = 850 ± 9.8
So the 95% confidence interval is from 840.2 to 859.8.

For the second question, where sigma is assumed to be 100, we use the same formula but with σ = 100:

Interval estimate = 850 ± (1.96 * 100/√100) = 850 ± 19.6
So the 95% confidence interval is from 830.4 to 869.6.

For the third question, where sigma is assumed to be 200, we again use the same formula but with σ = 200:

Interval estimate = 850 ± (1.96 * 200/√100) = 850 ± 39.2
So the 95% confidence interval is from 810.8 to 889.2.

As we can see, the confidence interval gets wider as sigma increases. This is because a larger standard deviation indicates greater variability in the population, which means there is more uncertainty in the sample mean as an estimate of the true population mean. Therefore, a wider interval is needed to account for this increased uncertainty.

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Answer:

A

Step-by-step explanation:

\(slope = \frac{change \: in \: y}{change \: in \: x} \\ = \frac{y2 - y1}{x2 - x1} \\ = \frac{2 - 3}{3 - 0} \\ = \frac{ - 1}{3} \)

Hope that this is helpful.

Have a great day.

The value of x is 5. The value of y is 8.66.

The image attached is that of a right triangle. In order to determine the value of x and y, SOHCAHTOA would be used.  x is he opposite side and y in the adjacent side to the angle 30 degrees.

Sin 30 = opposite / hypotenuse

0.5 = x / 10

x = 5

Cos 30  = adjacent / hypotenuse

0.8660 = y / 10

y = 8.66

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Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.

Answer:

The volume of a rectangular prism with length 25 cm and width 40 cm can be calculated as follows:

Volume = Length * Width * Height

Since the height is not given, we cannot calculate the exact volume.

Step-by-step explanation:

Answer:

8,846 units at $6.50

Step-by-step explanation:

Demand = X/5.75

10,000 = X/5.75

X = 57500

Demand at $6.50 would be:  Demand = 57500/6.50

Demand (at $6.50) = 8846

a. To find dF/dr, we need to take the derivative of the expression F with respect to r.

The expression for F in Newton's Law of Gravitation is F = (GmM) / r², where G is the gravitational constant, m and M are the masses of the bodies, and r is the distance between the bodies.

Taking the derivative, we have:

dF/dr = d/dx[(GmM) / r²]

Using the power rule and chain rule, the derivative becomes:

dF/dr = (-2GmM) / r³

The meaning of dF/dr is the rate of change of the force F with respect to the distance r. It tells us how much the force changes as the distance between the bodies changes. In the context of Newton's Law of Gravitation, it represents how the gravitational force between two objects changes as the distance between them varies.

The minus sign in front of the expression indicates that the force decreases as the distance between the bodies increases. This is consistent with the inverse square law of gravitation, which states that the force of gravity between two objects is inversely proportional to the square of the distance between them. As the distance increases, the force weakens.

b. The given information states that the force exerted by the Earth on an object decreases at a rate of 2 N/km when r = 20,000 km.

To find how fast the force changes when r = 10,000 km, we can use the derivative expression we derived earlier:

dF/dr = (-2GmM) / r³

Substituting the values, we have:

dF/dr = (-2GmM) / (10,000 km)³

The value of GmM is not provided in the given information, so we cannot calculate the exact numerical value of the derivative. However, using the expression above, you can substitute the appropriate values of GmM and r to find the rate at which the force changes when r = 10,000 km.

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The solution of 3 drops of yellow food coloring needed to make a shade of orange icing with 9 drops of red food coloring is 72/24

The formula for calculating the number of drops of yellow food coloring required to make a shade of orange icing would be:

Yellow Food Coloring Drops = (Red Food Coloring Drops x 8) / 24

In this example, we are using 9 drops of red food coloring. To calculate the number of drops of yellow food coloring needed, we would plug in 9 for the number of drops of red food coloring, resulting in the following equation:

Yellow Food Coloring Drops = (9 x 8) / 24

We can solve this equation by multiplying both sides by 24 to get:

Yellow Food Coloring Drops x 24 = 9 x 8

We can further simplify the equation by multiplying the numbers on the right side of the equation to get:

Yellow Food Coloring Drops x 24 = 72

Finally, we can solve for the number of drops of yellow food coloring by dividing both sides of the equation by 24 to get:

Yellow Food Coloring Drops = 72/24

After simplification, we end up with the solution of 3 drops of yellow food coloring needed to make a shade of orange icing with 9 drops of red food coloring.

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a. Population mean is equal to 1.

b There is no sufficient evidence to support the claim given that population standard deviation is greater than 0.0025.

The likelihood of receiving findings from a statistical hypothesis test that are at least as extreme as the observed outcomes is known as the p-value in statistics. To provide the least level of significance at which the null hypothesis would be rejected, the p-value might be used instead of rejection points. Stronger evidence supports the alternative hypothesis, which is shown by a lower p-value.

For the given data, the summary statistics are stated as follows: n =15,      X= 1.00084 and s = 0.00282

a) Test whether the population mean is equal to 1 or not H₀ :μ =1 against H₁:

    μ ≠1

The test statistic to test the above hypothesis is given by

t = \(\frac{X -μ }{ S / \sqrt{n} }\)  = \(\frac{1.00084 - 1}{0.00282 / \sqrt{15} }\) = 1.15

The P-value = P( | t₁₅₋₁ | >1.15)=2P (t₁₄>1.15)=0.2694  (Using excel function

=tdist(1.15,14,2))

Since the P-value is higher than the significance level, do not reject the null hypothesis and conclude that the population mean is equal to 1.

b)Test whether the population standard deviation is more than 0.0025 H: σ = 0.0025 against H₁: μ>0.0025

The test statistic to test the above hypothesis is given by

t =   \(\frac{(n-1)s^{2} }{σ^{2} }\) = \(\frac{(15-1)* 0.00282^{2} }{0.0025^{2} }\) = 17.81

The P-value = P(\(x^{2}\) >17.81) = 0.2154 (Using excel function =chidist (17.81,15-1))

Since the P-value is higher than that of the significance level, do not reject the rule of null hypothesis and this will conclude that there is no sufficient evidence to support the claim given that population standard deviation is greater than 0.0025.

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The area of the trapezoid in this problem is given as follows:

15 square feet.

The area of a trapezoid is given by half the multiplication of the height by the sum of the bases, hence:

A = 0.5 x h x (b1 + b2).

The dimensions for this problem are given as follows:

h = 3 ft, b1 = 4 ft and b2 = 6 ft.

Hence the area is given as follows:

A = 0.5 x 3 x (4 + 6)

A = 1.5 x 10

A = 15 square feet.

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Answer:

× = 10 1/5

decimal form : 10.2