Pls help for Algebra 11b = 143

Answer:

Solution given:

\( 2\frac{3}{5}-1 \frac{3}{8}\)

\(\frac{2*5+3}{5}-\frac{1*8+3}{8}\)

\(\frac{13}{5}-\frac{11}{8}\)

taking LCM

\(\frac{13*8-11*5}{5*8}\)

\(\frac{49}{40}\)

1\(\frac{9}{40}\)

is a required answer.

\(\large\bf{\underline{Given :}}\)

__________________________________________

\(\large\bf{\underline{To\:find :}}\)

__________________________________________

\(\large\bf{\underline{Cost\:of\:11\:shirts }}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\( = 11 \times 15.65\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\( = 172.15\)

\(\large\bf{\underline{Therefore}}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(⟹11 \: shirts \: + \: 24 \: ties \: = 403.51\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(⟹172 + 24 \: ties = 403.51\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(⟹24 \: ties = 403.51 - 172.15\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(⟹24 \: ties = 231.36\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(⟹1 \: tie \: = \frac{231.36}{24} \)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(⟹1 \: tie = 9.64\)

\(\large\bf{\underline{Hence\:cost\:of\:a\:tie}}\)

\(\huge\bf{= £9.64}\)

The polynomial with complex coefficients of the smallest possible degree is found as: P(x) = x⁴ + 17x² + 16.

The given zeroes for the polynomial is-

4i and 1i.

From the conjugate zeroes theorem, for the polynomial having eal coefficients.

Then, -4i and -i is also the zeroes of the polynomial.

Thus, forming the polynomial P(x).

P(x) = (x + i)(x - i).(x + 4i)(x - 4i)

Using the property.

P(x) = (x² - i²).(x² - (4i)²)

We know that, i² = -1

P(x) = (x² + 1).(x² + 16)

Simplifying the equation;

P(x) = x⁴ + 17x² + 16

In which the coefficient of the highest power (x⁴) is 1.

Thus, the polynomial with complex coefficients of the smallest possible degree is found as: P(x) = x⁴ + 17x² + 16.

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Answer:

Null hypothesis: μ = 407

Alternative hypothesis: μ < 407.

Step-by-step explanation:

In this case, the machine is SUPPOSED to fill the bag so that the bag weighs 407 grams. So, the null hypothesis will be that the machine is doing what it is supposed to be doing. And so, μ = 407 grams would be the null.

The worker thinks the machine is filling the bags to LESS THAN what it is supposed to. So, the alternative hypothesis is that the machine is NOT doing what it is supposed to and μ < 407 grams.

Hope this helps!

Answer:

Step-by-step explanation:

Let x represent the number of seventh graders in the choir:

48=x/2

x=96

Answer:

The median of the following numbers is 14

Step-by-step explanation:

The volume of the figure, by splitting it into two cuboids comes to be 3300 ft³.

The volume of a cuboid is the product of its three dimensions i.e. length, breadth, and height.

Let us split the given figure into two cuboids

So, the volume of the figure will be the sum of the volume of both the cuboids.

So, the volume of the cuboid with dimensions 20 ft x 25 ft x 5ft

= 20 x 25 x 5

=2500 ft³.

The volume of the cuboid with dimensions  4 ft x 25ft x 8ft

=4 x 25x 8

=800 ft³.

So, the volume of the figure = 2500 + 800 =3300 ft³.

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Answer:

5.9 miliseconds

Step-by-step explanation:

it is it because there is a second to millisecond on a watch

The general solution to the given differential equation is:

y = (x/12) - (1/288)

How to solve the Differential Equation?

We want to solve the differential equation given as: y' - 24xy = -2x

The integrating factor is given by the exponential of the integral of the coefficient of y, which in this case is -24x. Therefore, the integrating factor is e^(-24x).

Multiplying the entire equation by the integrating factor, we get:

e^(-24x)y' - 24xe^(-24x)y = -2xe^(-24x)

The left side of the equation is the derivative of (e^(-24x)y) with respect to x:

(d/dx)(e^(-24x)y) = -2xe^(-24x)

Integrating both sides with respect to x, we have:

e^(-24x)y = ∫(-2xe^(-24x))dx

Integrating the right side, we get:

e^(-24x)y = -∫(2xe^(-24x))dx

To evaluate the integral on the right side, we can use integration by parts. Let's differentiate -2x and integrate e^(-24x):

u = -2x (differential of u = -2dx)

dv = e^(-24x) (integral of dv = -1/24e^(-24x)dx)

Using the integration by parts formula:

∫uv dx = uv - ∫v du

We can compute the integral as follows:

-∫(2xe^(-24x))dx = -[(-2x)(-1/24e^(-24x)) - ∫(-1/24e^(-24x))(-2dx)]

= -[x/12e^(-24x) + 1/12∫e^(-24x)dx]

= -[x/12e^(-24x) + 1/12(-1/24)e^(-24x)]

= -[x/12e^(-24x) - 1/(12*24)e^(-24x)]

= -[x/12e^(-24x) - 1/(288e^(-24x))]

= -[x/12 - 1/288]e^(-24x)

Substituting this back into the previous equation, we have:

e^(-24x)y = -[-(x/12 - 1/288)e^(-24x)]

Simplifying further:

e^(-24x)y = (x/12 - 1/288)e^(-24x)

Canceling out e^(-24x) on both sides:

y = x/12 - 1/288

Therefore, the general solution to the given differential equation is:

y = x/12 - 1/288

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Answer:

Y = (-2/3)x +7

Step-by-step explanation:

First we have to find the slope (m):

the equation for that is

\(m= \frac{y2-y1}{x2-x1}\)

(0, 7)   (3, 5)

(x1, y1) (x2, y2)

plug it in

\(\frac{5-7}{3-0} =\frac{-2}{3}\)

now that we have m  we plug in what we have:

\(y=\frac{-2}{3} x+b\)

to find b we pick any of the two points, I will pick (0,7), and we substitute that point into our equation:

\(7= \frac{-2}{3}*0+b\)

now we solve for b

b=7

now we plug it all in:

\(y= \frac{-2}{3}x +7\)

hope that helps :)

In a slope-intercept form, m stands for the slope, and b for the y-intercept. Given the coordinates of two points on the line, use the slope formula to determine the slope of the line. The slope formula is the quotient of the difference in y-values and the difference in x-values. The point where a graph crosses the y-axis is known as the y-intercept.

Answer:

bdFd574)466&!'!9+/"(&$4+√®=™]

The answer that correctly fills the missing portions is option A.

The full sentence is: When the Bureau of Labor Statistics (BLS) calculates an increasing Consumer Price Index (CPI); the Federal Reserve (FED) may choose to Quantitative Easing.

Quantitative easing is a monetary policy operation in which a central bank buys government bonds or other financial assets to infuse monetary reserves into the economy in order to encourage economic activity.

The goal of QE is to level the playing field in order to make spending and investing money more enticing and accessible to people. Lower interest rates may improve the possibility that company and civilian borrowers will borrow to make purchases, promoting economic activity.

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Full Question:

When the ___ calculates an increasing ___ ; the ___ may choose to decrease______.

A) BLS, CPI. FED, QE

B) OECD, QE, BLS, CPI

C) BEA, GDP, BLS, CPI

D) BEA, CPI, OECD, GDP

Answer:

The total cost will be 2 adult ($16), and 4 children ($8)

Answer:

just remember that each baby elephant weight 3/8 of a ton

and all together weight 3/4 of a ton

so how many baby elephants will be ,let be x a unknown number of them

so

x*(3/8) =3/4

because multiplying the number of baby elephants with their body weight gives the total weight of all baby elephants.

so

x=(3/4)*(8/4)=2

the number of baby elephants is 2

Answer:

i believe it is b :) not that hard

The equations that has the solution x = all real numbers is 5(3x)+ 7x = 3x + 15 - x and 5(3x) + 7x = 3x + 10 - x,

Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14.

A formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign.

Here given equations,

5(3x) + 6x = 3x + 15 + 2x

15x + 6x = 3x + 15 + 2x

15 x + 6x - 3x -2x = 15

16 x = 15

x = 15/16

5(3x).+ 7x = 3x + 15 - x

15 x + 7x = 3x + 15 - x

15 x + 7x - 3x + x = 15

22x - 3x + x = 15

20 x = 15

x = 15/20

x = 3/4

5(3x) + 7x = 3x + 10 - x

15x + 7x - 3x + x = 10

20x = 10

x = 10/20

x = 1/2

5(3x) + 7x = x + 15 - 3x

15x +7x - x + 3x = 15

24x = 15

x = 15/24

x = 5/8

Therefore the equations that has the solution x = all real numbers are :

5(3x).+ 7x = 3x + 15 - x and 5(3x) + 7x = 3x + 10 - x .

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Answer: (-0.5,00)

number one i think good luck

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want to save all the money you earn to buy a guitar that costs $400. You earn $9 per hour and

plan to work 15 hours each week for the next 3 weeks. Will you earn enough money in that time to buy

the guitar? Explain your answer.

15 hours × 3 weeks × $9 per hour

15 × 3 × 9 =

45 × 9 = 405$

The answer is YES

Answer:

  0π

Step-by-step explanation:

After you add 5 and divide by 7, you find you're looking for solutions to ...

  cos(θ) = 1

Your knowledge of the cosine function tells you the solution is ...

  θ = 0 . . . . . matches the last choice (only)

___

Any multiple of 2π is a solution, but the only one in the allowed domain is 0π.

Volume of cuboid = \(5\frac{5}{8}\) in³

Number of \((\frac{1}{4})\) inch small cubes fitted in the rectangular prism is 360.

A cuboid is a solid three-dimensional object with six rectangular faces that are all at right angles to one another. It goes by the name rectangular prism as well.

Here rectangular prim is a type of cuboid, So we have to find out the volume of cuboid;

The volume of cuboid = length × width × height

Put the values;

Volume of cuboid =  \(3\frac{3}{4}\) × 1 × \(1\frac{1}{2}\)

Volume of cuboid = \(\frac{15}{4}\) × 1 × \(\frac{3}{2}\)  = \(\frac{45}{8}\)

Volume of cuboid = \(5\frac{5}{8}\) in³

The volume of a cube which is \((\frac{1}{4})\) inch  = \((\frac{1}{4})^{3}\)  = \((\frac{1}{64} )inch^{3}\)

Number of \((\frac{1}{4})\) inch small cubes fitted in the rectangular prism = Volume of rectangular prism (cuboid) ÷ volume of a cube which is \((\frac{1}{4})\) inch

So, Number of cubes = \(\frac{45}{8}\) ÷ \(\frac{1}{64}\)  =  45 × 8 =   360 cubes.

Therefore, Number of \((\frac{1}{4})\) inch small cubes fitted in the rectangular prism is 360.

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The domain of the square root function is x greater-than-or-equal-to 0, since the function is defined for all non-negative x-values or x-values greater than or equal to zero.

The domain of the square root function graphed below can be determined by looking at the x-values of the points on the graph.

From the given information, we can see that the curve starts at (0, -1) and goes through (1, -2) and (4, -3).

The x-values of these points are 0, 1, and 4.

Since the square root function is defined for any non-negative x-values or x-values more than or equal to zero, its domain is x greater-than-or-equal-to 0.

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Answer:

X = 7.5

Step-by-step explanation:

First, divide 5 by 3 to find the scale factor:

5/3 = 1.667

Now, multiply 4.5 by 1.667 to find x:

x = (4.5)(1.667)

x = 7.5

Therefore, x is equal to 7.5.

I hope this helps!!

- Kay :)

ANSWER

EXPLANATION

Given that:

In the figure provided, the triangle EFG is similar to the triangle is ECD

FE = 12

CD = 12

FG = CF + 2

To find the length CF, apply the similarity triangle theorem

Substitute the given data into the above equation

Answer: -8n + 12

Step-by-step explanation: Well we know the word "sum" is a keyword that tells us to use addition so right off the bat, we can eliminate any options that have a subtraction sign.

"The sum of 12 and the product of -8 and n" means

we are multiplying -8 by n since "product" means multiplication.

Then we just have to add 12 to that.

So we get -8n + 12

Answer:

162 t-shirts, 324 posters

Step-by-step explanation:

Assuming they only sold t-shirts and posters, you can find the amount of t-shirts sold by dividing 486 by 3, or multiplying it by 1/3. This equals 162. This is because one third were t-shirts. To find the rest you just subtract 162 from the total of 486, or multiply 162 by 2. (since you already know the amount of 1/3, 2/3 is double that.)