Round 82585 to the nearest ten thousand. Enter your answer in the box
below.

Answer:

Option (D) is correct.

Shyla spend $30.94 on the fabrics

Step-by-step explanation:

Shyla has a box with the dimensions of 7 inches, 11 inches, 8 inches. Since it has 3 sides thus, it is form of a cuboid.

Here Length (l) = 7 inches

Breadth (b) = 11 inches

Height (h) = 8 inches

Surface area of Cuboid = 2( lb +bh + hl )

Substitute the values, we get,

Surface area of Cuboid = 2( 7 × 11 + 11× 8 + 7 × 8 )

                                       = 2( 77 +88 +56)

                                       = 422 square inches.

Given: the fabric costs 7 cents per square inch = $0.07 per square inches.

Money  Shyla spend on the fabric = total area × cost of fabric per square inch

                                                      = 442 × 0.07

                                                      = $30.94

Thus,  Shyla spend $30.94 on the fabrics.

So , Option (D) is correct.

Answer: Irvin wrote the point at the wrong coordinate

Step-by-step explanation: Irvin wrote it at (3,4) instead of (4,3)

[should have gone right four, up three instead]

Answer:

The coordinates have been mixed up.

Step-by-step explanation:

The given coordinates were (4, 3) where 4 is the x-coordinate and 3 is the y-coordinate. Here, Irvin has taken the point (3, 4) where 3 is the x-coordinate and 4 is the y-coordinate. Hence, he mixed up the coordinates of the point.

[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]

[tex] \large\underline{ \boxed{ \sf{✰\:Important\: point's }}}[/tex]

[tex]{ \rule{70mm}{2.9pt}}[/tex]

[tex] \underline{ \boxed{ \sf{✵\: let's\: solve\:✵}}}[/tex]

[tex] \sf ➛\angle \: 120 \degree + \angle \:t = 180\degree \\ \sf ➛\angle \:t = 180 \degree - \angle \:120 \degree \\ \sf ➛\angle \: t = \:60 \degree[/tex]

[tex]{ \rule{70mm}{2.9pt}}[/tex]

[tex] \boxed{✛\underline{ \boxed{ \sf{ \: \angle \: t = 60 \degree \: }}}✛}[/tex]

Hope it helps !

The fractions on the number line are 1/8, 2/8, 3/8, 4/8, 5/8, 6/8, 7/8

The range of the number line is given as:

Range = 1/8 to 7/8

Using an increment of 1/8, the fractions on the number line are:

1/8, 2/8, 3/8, 4/8, 5/8, 6/8, 7/8

Next, we plot the number line where the above fractions are placed on the number line

See attachment for the required number line.

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Answer:

8

Step-by-step explanation:

The given monomial is :

The degree of the monomial is the highest power to which a variable is raised to in the monomial. The greatest power in this case belongs to b⁸, which has a power of 8.

Hence, the degree of the monomial is 8

Answer:

A

B

C

and

D

Step-by-step explanation:

A

B

C

and

D

Answer:

1,064dm^2

Step-by-step explanation:

The formula for Area

—> A = lw

Plug our units into the formula

A = 38(28)

A= 1064dm^2

Answer:

$803

Step-by-step explanation:

17 + 33 + 23 = 73

73 * 11 = 803

Answer:

(c) 112 ft/sec

Step-by-step explanation:

4 = 112.33 ft/sec = 112 ft/sec

Answer:

Step-by-step explanation:

Let amount of Mix A is a, Mix B is b, Mix C is c.

With the given details, we get the following system

Find the value of c (the easiest one) for substitution

Substitute c into the first equation

Substitute c into the third equation

Double the equation (5) and subtract (6), find the value of a

Find b

Now find c

Total balls: 6 + 4 + 3 = 13

First pick green = total green / total balls = 4/13

adter picking the first ball there are 12 balls left.

Picking red = total red/ total balls left = 6/12 = 1/2

probability of picking both = 4/13 x 1/2 = 4/26 = 2/13

answer: 2/13

Answer:

  k = 11  or  20

Step-by-step explanation:

The sum of terms of an arithmetic sequence is given by ...

  Sn = (a1 +an)(n/2)

We want to find the value of n for a particular series to have a particular sum.

__

The series of interest is defined by ...

  an = 48 -3n

so, the first term is ...

  a1 = 48 -3(1) = 45

The k-th term is ...

  ak = 48 -3k

__

Then the sum is ...

  Sk = (45 +(48 -3k))(k/2)

We want this value to be 330, so we have ...

  330 = (93 -3k)(k/2)

__

  220 = (31 -k)k . . . . . . . . multiply by 2/3

  k² -31k +220 = 0 . . . . . in standard form

We want factors of 220 that total 31.

  220 = (1)(220) = (2)(110) = (4)(55) = (5)(44) = (10)(22) = (11)(20)

The last of these pairs totals 31, so we have ...

  (k -11)(k -20) = 0 . . . . . factored form of the equation

  k = 11  or  k = 20 . . . . . values of k that make the factors zero

Possible values of k are 11 and 20.

The area of the composite figure in the given diagram is calculated as: 152 square inches.

The area of a composite figure is gotten by decomposing the figure into known shapes and finding the area of each of the shapes.

The area of the figure = area of bigger rectangle + area of smaller rectangle = lw + lw

The area of the figure = (20)(6) + (8)(4)

The area of the figure = 152 in.²

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Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

sin =opposite/hypotenuse

sinQ=5/6

Use the general formula for decay substance

[tex]\\ \rm\Rrightarrow N=N_o(1-r)^t[/tex]

For our equation r=62%=0.62

So

function becomes

[tex]\\ \rm\Rrightarrow N=650(1-0.62)^t[/tex]

[tex]\\ \rm\Rrightarrow N=650(0.38)^t[/tex]

Change for a year

[tex]\\ \rm\Rrightarrow N=650(0.38)[/tex]

[tex]\\ \rm\Rrightarrow N=247g[/tex]

Amount decayed=650-247=403g

Daily decay

Percentage decay

[tex]\\ \rm\Rrightarrow \dfrac{1.1}{650}\times 100[/tex]

[tex]\\ \rm\Rrightarrow 0.169[/tex]

[tex]\\ \rm\Rrightarrow 16.9\%[/tex]

Answer:

y = (3/4)x-9/2

Step-by-step explanation:

We've got two points, (-2, -6) and (2, -3). That's more than enough info to construct a line. The slope of the line is the ratio between the change in y (Δy) and the change in x (Δx). Here, Δy = -3 - (-6) = -3 +6 = 3, and Δx = 2 - (-2) = 2 + 2 = 4, so the slope is Δy/Δx = 3/4. From here, we can use the point-slope form of a line to get a general equation. With the slope m = 3/4 and choosing the point (2, -3), we have

[tex]y-y_1=m(x-x_1)\\y-(-3)=(3/4)(x-2)\\y+3=(3/4)x-3/2\\y=(3/4)x-3/2-3\\y=(3/4)x-3/2-6/2\\y=(3/4)x-9/2[/tex]

Answer:

D.

Step-by-step explanation:

-5.3 rounds up to -5

7.9 rounds up to 8

the sum of the two rounded is 3

her answer of 2.4 rounds to 2, not 3

so her answer is not reasonable

Answer:

[tex]\sf \dfrac{1}{2}[/tex]

Step-by-step explanation:

Results from the slips of paper:

Total slips of paper = 16

[tex]\sf Proportion = \dfrac{part}{whole}[/tex]

[tex]\implies \textsf{Proportion of shoppers who were happy}=\sf \dfrac{8}{16}=\dfrac{1}{2}[/tex]

Answer:

1/2

Step-by-step explanation:

There are 16 responses

There are 8 people who said yes

P( happy) = yes/  total

P(happy) = 8/16 = 1/2

Answer: 21 is b. 22 is c

Step-by-step explanation: do u need explanation.. because the questions are multiple choice???

Answer:

$160

Step-by-step explanation:

the difference between May 21, 2022 -- October 1, 2022 = 133 days. since u only get money every 8 days divide 133 by 8 and round down.

[tex]133/8=16.625[/tex]

[tex]\approx16[/tex]

multiply 16 by $10 to get $160

Answer:

in 7hours and 30 mn the cost will be (7.5×d×e) cents

Step-by-step explanation:

[tex]\begin{matrix}\text{Time} &1h&7.5h\\ \text{number of dolls} &d&7.5\\ \text{Cost} &d\times e&7.5\times d\times e\end{matrix}[/tex]

Answer:

3400

Step-by-step explanation:

1L=1000ml

½L=500ml price = 1700

2(500)=2(1700)

1000L= 3400

hence Joshua will pay R3400 for 1L of cooking oil

The equation which can be used to find the minimum or maximum amount, c, of chocolate chips that he can weigh out will be:

 |C-78|=2.5

From the question, we have to determine the equation which can be used to find the minimum or maximum amount, c, of chocolate chips that he can weigh out.

Mathematically, it means:

|C-78|=2.5

Hene, the reqired equation will be  :|C-78|=2.5

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Answer:

1. 1119.982

2. 315.266

3. 297.866

Answer:

1. 1119.982

2. 315.266

3. 297.866

Answer:

slope = 2

Step-by-step explanation:

Slope-intercept form of a linear equation:  [tex]y=mx+b[/tex]

(where m is the slope and b is the y-intercept)

Given equation:

[tex]3x + 6y = -54[/tex]

Rearrange the given equation to make y the subject:

[tex]\implies 6y=-3x=-54[/tex]

[tex]\implies y=-\dfrac{1}{2}x-9[/tex]

Therefore, the slope of the given equation is [tex]-\dfrac{1}{2}[/tex].

If two lines are perpendicular to each other, the product of their slopes will be -1.

Therefore, the slope (m) of the line perpendicular to the given equation is:

[tex]\implies -\dfrac{1}{2} \cdot m=-1[/tex]

[tex]\implies m=-1 \div -\dfrac{1}{2}[/tex]

[tex]\implies m=-1 \cdot-2[/tex]

[tex]\implies m=2[/tex]

Answer:

The value of x = 22/3

Step-by-step explanation:

x + 5 - 1/3 = 12

=> x+5 = 12 + 1/3

=> x + 5 = (36 + 1) /3

=> x + 5 = 37 /3

=> (x+5) 3 = 37

=> 3x + 15 = 37

=> 3x = 37 -15

=> 3x = 22

=> x = 22/3

Answer to your question is given in the attachment

Hope this Helps :)

The area of the composite figure = area of rectangle 1 + area of rectangle 2 + area of triangle = 56 km²

Find the area of each shape that make up the figure, then add up to get the area of the composite figure.

The area of the composite figure = area of rectangle 1 + area of rectangle 2 + area of triangle

Area of rectangle 1 = (length)(width) = (6)(3) = 18 km²

Area of rectangle 2 = (length)(width) = (7 + 3)(2) = 20 km²

Area of triangle = 1/2(base)(height) = 1/2(10 - 4)(6) = 18 km²

The area of the composite figure = 18 + 20 + 18 = 56 km²

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Answer:

See below

Step-by-step explanation:

[tex]\displaystyle \frac{\sec x\sin x}{\tan x+\cot x}\\\\=\frac{\frac{1}{\cos x} \sin x}{\frac{\sin x}{\cos x} + \frac{\cos x}{\sin x}}\\ \\=\frac{\frac{\sin x}{\cos x} }{\frac{\sin x \sin x}{\cos x \sin x} + \frac{\cos x \cos x}{\cos x \sin x}}\\\\=\frac{\frac{\sin x}{\cos x} }{\frac{\sin^2 x}{\cos x \sin x} + \frac{\cos^2 x}{\cos x \sin x}}\\\\=\frac{\frac{\sin x}{\cos x}}{\frac{\sin^2 x+\cos^2 x}{\cos x \sin x} }\\ \\=\frac{\frac{\sin x}{\cos x} }{\frac{1}{\cos x \sin x} }[/tex]

[tex]=\frac{\sin x}{\cos x}\cdot \sin x \cos x\\ \\=\frac{\sin x \sin x \cos x}{\cos x}\\ \\=\sin^2x[/tex]

Thus, the identity is proven. Match the options up accordingly to my step-by-step process.

Answer:

3xy+5z

Step-by-step explanation:

5(xy+z)-2xy

=5xy+5z-2xy

3xy+5z

Hey mate ,

The ratio of Cylinder A to Cylinder B can be find by following steps ,

Volume of Cylinder A : Volume of Cylinder B

πr²h : πR²H

4 : 8 ( as π and radius can be cancelled because they are same on both the sides)

Ratio :- 1:2