Simplify the expression. Write your answer as a power.

The simplified expression is

Answer:

1.05 (0.2x + 1/2y + 0.75z)

Step-by-step explanation:

Finding the cost of each item :

1 Sweatshirt

2 T-shirts

1 Pair of Pants

Now, the final cost (after applying sales tax) is :

Answer:

Let x be the number of left handed female students and let y be the number of left handed male students.

Then the number of right handed female students will be 5x and the number of right handed male students will be 9y. Since the total number of left handed students is 18 and the total number of right handed students is 122, the following system of equations must be satisfied.

x+y=18 and 5x+9y=122

Solving this system gives x=10 and y=8.

Thus, 50 of the 122 right handed students are female. Therefore, the probability that a right handed student selected at random is female is   the fraction  50/122

which to the nearest thousandth is 0.410.

T is average time spend by shoppers in minutes

N average number of shoppers.

Here, shoppers/hour =84.

Hence r=

60

84

​T=5

Hence N=rT=

60

84

​

×5=7

Average number of shoppers waiting at checkout =7

Answer:

EMMA ITS KAIDN. text back.

Step-by-step explanation:

I had already answered this.

Answer:

He will need $2,503,250 pesos.

Step-by-step explanation:

2,945 x 850 = 2,503,250

The angle B will be equal to ∠B=53.13 degrees.

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

It is given that:-

Three sides of the triangle are:- a= 3, b=4  and c =5

The angle B will be calculated by the following formula;-

[tex]\angle B=Cos^{-1}\dfrac{a^2+c^2-b^2}{2ac}\\\\\\\angle B=Cos^{-1}\dfrac{3^2+5^2-4^2}{2\times 3\times 5}\\\\\\\angle B=Cos^{-1}(0.6)\\[/tex]

∠B=53.13 degrees

Hence the angle B will be equal to ∠B=53.13 degrees.

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Answer:

Mixed Number Form: x = 1 45/299

Decimal Form: x = 1.15050167…

Step-by-step explanation:

Answer:

Every 1/8 month (ie about 4 days) she uses 1/2  a package

So every month she will use 8  x (1/2) = 4 packages

So in 10 months she will use 4 x 10 = 40 packages

Answer:

x = 13.75 units

Step-by-step explanation:

Right triangle

  tan 58 = opposite side / adjacent side

    tan 58 = 22/x

x = 22/ (tan 58) = 13.75

Answer:

3t-10

Step-by-step explanation:

g(h(t))=g(t-4)

=3(t-4)+2

=3t-12+2

=3t-10

Answer:

Reflection in line x=1

Step-by-step explanation:

If you draw a line of all values where X = 1. It forms a line between the 2 shapes and by reflecting in that line, you will get Shape B from shape A

Explanation:

There are 8 red marbles out of 22 total

8/22 = 4/11 is the probablity of randomly selecting red.

If the first marble is put back, then that probability will not change.

The probability of two red marbles in a row is (4/11)*(4/11) = 16/121

Side note: 16/121 = 0.1322 = 13.22% approximately

Using it's concept, it is found that the probability that John's next three spins land on the number 2 is of [tex]\frac{1}{125}[/tex].

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that out of 5 numbers, one is 2, hence the probability of three consecutive spins landing on two is given by:

[tex]p = \left(\frac{1}{5}\right)^3 = \frac{1}{125}[/tex].

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[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

Given expression ,

[tex] \frac{1}{8} . \frac{1}{8} .y.y.y \\ [/tex]

this can also be written as ,

[tex] \frac{1}{8} \times \frac{1}{8} \times y \times y \times y \\ \\ \longrightarrow \: \frac{y {}^{3} }{64} [/tex]

hope helpful ~

Step-by-step explanation:

speed = distance/time

distance = speed × time.

so, for the first 4 hours

distance = 60 m/h × 4 h = 240 miles

and for the next hour

distance = 40 m/h × 1 h = 40 miles

she traveled therefore

240 + 40 = 280 miles

the answer was 280, Take your chances with it, I did it on edgeinuity but it wont let me show the screenshot i took

Answer:

<r=29

Step-by-step explanation:

Answer:

The next term of the sequence is represented by the point (5, –64)

Step-by-step explanation:

From inspection of the graph, the first four terms of the sequence are:

Each x-value increases by 1 for each consecutive term.

Each y-value is the previous y-value multiplied by -2.

Therefore, it is a geometric sequence with a common ratio of -2.

Following the above rule, if the last term in the sequence is (4, 32), then the next term in the sequence will be:

So, the next term of the sequence is represented by the point (5, –64)

The only plane shape in which every point on the figure is the exact same distance from the center is; The Circle

There are different types of plane shapes such as Square, rectangle, Circle, Trapezoid, Parallelogram, Rhombus, Kite, Triangle e.t.c.

Now, Except for the circle and Triangle, every other listed plane shape above is a quadrilateral because they have 4 sides. Now, no quadrilateral has all its' sides equal from the center. Likewise, no triangle has all its' sides equal from the center.

The only plane shape with all its' sides equal from the center is the circle because the radius is equal all through.

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The volume of the cone is 254.85 cubic units

The side length of the equilateral triangle is given as:

l = 12√3

Calculate the radius (r) of the cone using:

r = l/2

r = 12/2√3

r = 6√3

Calculate the height of the cone using:

[tex]h = \sqrt{l^2 + (l/2)^2[/tex]

This gives

[tex]h = \sqrt{(12\sqrt 3)^2 + (6\sqrt3)^2[/tex]

Evaluate

[tex]h = \sqrt{540[/tex]

h = 22.24

The volume of the cone is then calculated as:

V = 1/3πr²h

This gives

V = 1/3π * (6√3)² * 22.24

Evaluate

V = 254.85

Hence, the volume of the cone is 254.85 cubic units

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Connect C and E with a straightedge is the next step in order to complete the construction of an equilateral triangle.

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

We have:

Circle with centre P and point A along the circle's edge, arcs along the circle at points B, C, D, E, and F in alphabetical order, and a line segment connecting points A and C.

A triangle with three sides that are all the same length and three angles that are all the same size (60°) is called an equilateral triangle.

Connect C and E with a straightedge is the next step in order to complete the construction of an equilateral triangle.

Thus, connect C and E with a straightedge is the next step in order to complete the construction of an equilateral triangle.

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Answer:

BC≈8,38

Step-by-step explanation:

AB=a

BC=c

CA=b

a²+b²=c²

3.3²+7.7²=c²

√70,18=√c²

c≈8,38

Answer:

Find the area of the triangle side, then multiply by the length of the prism.Area of triangle = 1/2 x height x baseArea  = 1/2 x 2 x 3 = 3 square cmVolume = 3 x 4 = 12 cubic cm.Answer is A)

Step-by-step explanation:

4|3x-5|-5=-1

|12x-20|-5= -1

|12x-20|= -1+5

|12x-20|= 4

x1-> 12x-20= 4

12x= 4+20

x= 24/12

x=2

x2-> -12x+20 = 4

-12x = 4-20

-12x= -16

x= -16/-12

x= 4/3

Answer:

$2.15

Step-by-step explanation:

$5 - $2.85 = $2.15

this is the explanation

The cost of dry bag is $2.85 then the change does Alka get back will be $2.15.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the mentioned information in the question,

Cost of dry bag = $2.85

Money given by Alka for the bill = $5.00

Then, the amount she will get back,

($5.00 - $2.85) = $2.15

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Answer:

(3,7) (4,4) (1,2)

Step-by-step explanation:

180 degrees: (x, y) —> (-x, -y)

Answer:

  $8,287,429

Step-by-step explanation:

The total profit will be the sum of a geometric series. The formula for that sum is ...

  Sn = a1 × (r^n -1)/(r -1)

where a1 is the first term, r is the common ratio, and n is the number of terms.

__

Here, the series has first term $140,000, common ratio 1+0.20 = 1.2, and we want the total of 14 terms. The total profit is ...

  S14 = ($140,000) × (1.2^14 -1)/(1.2 -1) ≈ $8,287,429

In the first 14 years of operation, the total profit would be $8,287,429.

An expression is defined as a set of numbers, variables, and mathematical operations. The solution of the division of x³y by x⁴y is equal to 1/x.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The division of x³y by x⁴y can be done as,

x³y/x⁴y

= x⁽³⁻⁴⁾ y⁽¹⁻¹⁾

= x⁻¹

= 1/x

Hence, the solution of the division of x³y by x⁴y is equal to 1/x.

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Sum of the interior angle of any triangle must equal to 180 degrees thus :

[tex]53 + 90 + t = 180[/tex]

[tex]143 + t = 180[/tex]

[tex]t = 37[/tex]

Thus angle T has a measure of 37° .

Answer: 37

Explanation: Angle S is a right triangle because ST is tangent to circle Q.
180 - 90 - 53 = 37

3(x-4)(2x+5)

= 3×(x-4)×(2x+5)

= (3x-12)(2x+5)

= 6x²+15x-24x-60

= 6x²-9x-60

[tex]3( {2x }^{2} + 5x - 8x - 20) \\ 3( {2x}^{2} - 3x - 20) \\ {6x}^{2} - 9x - 60 \\(6x + \frac{5}{2} )(x - 4)[/tex]

If the scale factor is 3/4. Then the perimeter of the original triangle will be 66.67 units.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

A triangle with a perimeter of 50 units is the image of a triangle that was dilated by a scale factor of 3/4.

Then the perimeter of the preimage, the original triangle, before its

dilation will be

Let c be the perimeter of the original triangle.

Then we have

[tex]\rm \dfrac{3}{4} \times x = 50\\\\x = 66.67[/tex]

Then the perimeter of the original triangle is 66.67 units.

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