Find the difference: +30 - - 10 =



​

9514 1404 393

Answer:

Step-by-step explanation:

A solution is always of the form ...

  variable = something

In order to get this form, the variable needs to be isolated (put by itself on one side of the equal sign).

In general, isolating the variable involves using inverse operations to "undo" whatever is done to the variable. These are generally applied in the reverse order of the operations that are done to the variable. The list of operations done and their order can be identified using the Order of Operations to consider how an equation would be evaluated for some value of the variable.

The solution is, The area of the shaded region is 112cm^2.

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

First find the area of the rectangle

A = l*w

= 9*16

= 144

The unshaded area is a trapezoid

A = 1/2 ( b1+b2) *h

= 1/2 ( 5+11) * 4

= 1/2 (16) * 4

=32

The area of the shaded region is

rectangle - trapezoid

144-32

112cm^2

Hence, The solution is, The area of the shaded region is 112cm^2.

To learn more on Area click:

brainly.com/question/20693059

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Answer: x=5.9

Equation: 20.7= 3x+3

Step-by-step explanation:

20.7=3x+3

-3 -3

——————

17.7= 3x

————-

3

5.9= X

Was that ok? :) ur a smart kid so I’m sure you’ll figure this out but if u do have questions just put it in the comments :)

Answer:

Her GPA is 3

Step-by-step explanation:

an A is 4 points

B is 3 points

C is 2 points

D is 1 point

She has A, A, A, B, C, D for her grades. (6 grades total)

That equals

4 + 4 + 4 + 3 + 2 + 1 = 18 points

Then we divide the points by the number of grades we're looking at.

18/6 = 3

Her grade point average is 3.

Answer:

Grading Chart

A = 4.0 A- = 3.67  B+ = 3.33  B = 3.0 B- = 2.67

C+ = 2.33 C = 2.0 C- = 1.67  D = 1.0 F = 0.0

So your semester GPA is: 3.44

Also your semester Credit Total is: 18

Answer:

Probability of getting all three correct answer =  [tex]\frac{1}{64}[/tex]

Step-by-step explanation:

Given - A multiple choice test contains questions  with four options each: A, B, C, or D. If  Natalie randomly guesses on the last three  questions.

To find - what is the probability that she  gets all three correct.

Proof -

Given that,  question has 4 options.

And 1 option can be correct,

Let

x be that Natalie gives correct answer.

So,

Probability of getting, correct answer, P(x) = [tex]\frac{1}{4}[/tex]

So,

Probability of getting, incorrect answer, P(x') = 1 -  [tex]\frac{1}{4}[/tex] = [tex]\frac{3}{4}[/tex]

Now,

Given that, she guess the 3 questions.

All correct means,

first, second, third question answer is correct.

So,

Probability of getting all three correct answer = [tex]\frac{1}{4}[/tex]×[tex]\frac{1}{4}[/tex]×[tex]\frac{1}{4}[/tex] = [tex]\frac{1}{64}[/tex]

Answer:

2.719 minutes

Step-by-step explanation:

Step 1 :

We have to consider using the M/G/I /GD /∞/∞ Queuing system with the rate of arrival λ and the rate of service μ.

Since average of 40 cars arrive every hour at the painting facility, it follows that:

Arrival rate λ = 40cars /hour

= 40/60 cars/hour

=2/3 cars/hour

More, we were told that 95% of the cars require 1 minute to paint, 5% must be painted twice and require 2.5 minutes to paint, therefore, the average time to paint a car is given by

95/100x1 + 5/100 x 2.5 = 19/20 + 1/8 = 43/40min

It follows that:

Service rates μ = 40/43cars/min

Answer:

Step-by-step explanation:

NO ONE IS TRUE

6/12=2NOT 3

8*12=96NOT16

12+2=14 NOT 1

10/12=1.2 NOT 20

Answer:

It costs $3,744 to rent one shed.

Step-by-step explanation:

Given that a company rents storage sheds shaped like rectangular prisms, and each shed is 13 feet long and 6 feet wide and 12 feet tall, and the rental cost is 4 $ per cubic foot, to determine how much does it cost to rent one shed The following calculation must be carried out, knowing that the volume of a rectangular prism is obtained by multiplying its length by its width and its height:

(13 x 6 x 12) x 4 = X

(78 x 12) x 4 = X

936 x 4 = X

3.744 = X

Therefore, it costs $ 3,744 to rent one shed.

Answer:

90°

Step-by-step explanation:

this is a right angled triangle, and to that effect, a right angle triangle is on 90°

therefore y is 90°

Answer:

About 400 times

Step-by-step explanation:

Given

[tex]n = 1060[/tex]

See attachment for spinner

Required

Determine the number of times an outcome of 1, 3 or 8 is expected

First, calculate the theoretical probability of 1, 3, or 8

This is calculated as:

[tex]Pr = P(1) + P(3) + P(8)[/tex]

The spinner is divided into 8 equal segments and each outcome appears once.

So, we have:

[tex]Pr = \frac{1}{8}+\frac{1}{8}+\frac{1}{8}[/tex]

Take LCM and add

[tex]Pr = \frac{1+1+1}{8}[/tex]

[tex]Pr = \frac{3}{8}[/tex]

So, the expected number of times (E) is:

[tex]E = Pr * n[/tex]

[tex]E = \frac{3}{8} * 1060[/tex]

[tex]E = \frac{3* 1060}{8}[/tex]

[tex]E = \frac{3180}{8}[/tex]

[tex]E = 397.5[/tex]

Approximate

[tex]E = 398[/tex]

This means about 400 times

Answer:

B. No; measure of interior angle = 144

Step-by-step explanation:

I calculated it logically

Answer:

$120

Step-by-step explanation:

Interest = Principal x Rate x Time

I =  6000(.02)(1)

I = 120

Answer:

[tex]\theta=36.43^{\circ}[/tex]

Step-by-step explanation:

Given that,

Base = 42

Perpendicular height = 31

We need to find the value of [tex]\theta[/tex]. It can be calculated using trigonometry as follows :

[tex]\tan\theta=\dfrac{P}{B}\\\\\theta=\tan^{-1}(\dfrac{P}{B})[/tex]

Put all the values,

[tex]\theta=\tan^{-1}(\dfrac{31}{42})\\\\\theta=36.43^{\circ}[/tex]

So, the value of [tex]\theta=36.43^{\circ}[/tex].

Answer:

33.3 cm²

Step-by-step explanation:

Recall: Area Scale Factor = (Linear Scale Factor)²

Area scale factor = surface area of bigger cone/surface area of smaller cone

Let the surface area of the smaller cone be represented as x

Therefore,

Area scale factor = 75/x

Linear scale factor = radius of bigger cone/radius of smaller cone = 3/2

Thus:

75/x = (3/2)²

75/x = 9/4

Cross multiply

x*9 = 75*4

9x = 300

Divide both sides by 9

x = 300/9

x = 33.3 cm² (nearest tenth)

Answer:

A. 99 sq cm

Step-by-step explanation:

Area of geometric shape

= 2 times the area of one triangle with base a and height c

+ 2 times the area of one triangle with base c and height b

+ Area of rectangle with dimensions a and c.

[tex] = 2 \times \frac{1}{2} ac + 2 \times \frac{1}{2} bc + ac \\ \\ = ac + bc + ac \\ \\ = 2ac + bc \\ \\ = 2(13)(3) + 7(3) \\ \\ = 78 + 21 \\ \\ = 99 \: sq \: cm[/tex]

=============================================================

Explanation:

The rectangular base has area of length*width = a*c = 13*3 = 39 square cm. Let m = 39 since we'll use it later.

The triangles on the left and right sides have an area of base*height/2 = c*b/2 = 3*7/2 = 21/2 = 10.5 sq cm. They combine to an area of 2*10.5 = 21 sq cm. Let n = 21 since we'll use it later.

The triangles in the north and south positions have base 'a' and height 'c', so the area of each is base*height/2 = a*c/2 = 13*3/2 = 39/2 = 19.5 sq cm. That means the two north and south triangles add up to 19.5+19.5 = 39 sq cm. Let p = 39 since we'll use it later.

Overall, we have a total area of m+n+p = 39+21+39 = 99

The area of this flat 2D figure is 99 sq cm. If we folded along the dashed lines, then we'd get a 3D rectangular pyramid that has surface area of 99 sq cm. The surface area is the amount of material along the outside of the 3D figure. Or you can think of it like saying "If we painted all four sides of the 3D pyramid, then we cover 99 cm^2 of area".

6/16 = 3/8

hope this helps

Answer:

-3hf

Step-by-step explanation:

Answer:

2x-5x-24=0

-3x-24=0

-3x=24

x=24/-3

x=-8

Answer:

x=x2-24/5

2 −24

​

Step-by-step explanation:

x2−5x−24=0

Add 5x to both sides. Anything plus zero gives itself.

x

2

​

−24=5x

Add 24 to both sides.

x

2

​

=5x+24

Answer:

Hello! answer: C

Hope that helps!

Answer:

b

Step-by-step explanation:

Experimental - 5 choices, 1 is Q = 1/5

Theoretical - 5 choices, landed on Q 4 times =4/5

Answer:

141.4

Step-by-step explanation:

i think

Answer:

[tex]\frac{8}{10} =\frac{4}{5}[/tex]

Step-by-step explanation:

Both the numerator and denominator of the fraction [tex]\frac{8}{10}[/tex] share a common factor of 2, so you can divide the fraction by [tex]\frac{2}{2}[/tex](1). This leaves you with:

[tex]\frac{8}{10}[/tex] ÷ [tex]\frac{2}{2}[/tex] = [tex]\frac{4}{5}[/tex]

This means that the fraction [tex]\frac{8}{10} =\frac{4}{5}[/tex].

Answer:

There isn't an answer.

Step-by-step explanation:

5(x+1) = 4(x-1) + x

5x + 5 = 4x - 4 + x

5x +5 = 5x -4

0 = -9

no x, so no answer.

9514 1404 393

Answer:

  y = x + 2

Step-by-step explanation:

The slope-intercept form equation is ...

  y = mx + b . . . . . . slope m, y-intercept b

We are given the slope, so we only need to find the y-intercept. When we solve for b, we find ...

  y - mx = b . . . . . .  subtract mx

  8 - 1(6) = b = 2 . . . . fill in given values of (x, y) and m

Then the equation of the line is ...

  y = x +2

Answer: 72yd^2

Step-by-step explanation:

Answer:

72 is the answer

Step-by-step explanation:

it is a kite shape so

formula is

1/2 (d1 +d2)

Answer:

B. the second one

Step-by-step explanation:

Answer:

1 = 1.61

30 = x

1.61 x 30 =

48.3

Answer:

67.08 m/h

Step-by-step explanation:

need to convert 30 m/s to km/h = 108 km/h

1 = 1,61

x=108

x=108/1.61

30 m/s = 67.08 m/h

9514 1404 393

Answer:

  (x, y) = (-1/2, 3/4)

Step-by-step explanation:

A graphing calculator does a nice job of finding the solution.

  (x, y) = (-1/2, 3/4)

__

You can eliminate y by adding twice the second equation to the first.

  (2x +8y) +2(24x -4y) = (5) +2(-15)

  50x = -25

  x = -1/2 . . . . . . divide by 50

__

  24(-1/2) -4y = -15 . . . . .substitute for x in the second equation

  -4y = -3 . . . . . . . . . add 12

  y = 3/4 . . . . . . . . . divide by the coefficient of y

The solution is (x, y) = (-1/2, 3/4).

Answer:

9 cm

Step-by-step explanation:

ST = 3/4 × 12 = 9 cm

_____

Answer:

9 cm

Step-by-step explanation:

set up a proportion SR/NM=ST/NP, since you know all but one of the lines, sub them into the equation, 15/5=ST/3. solve the side you know to get 3=ST/3, multiply both side by 3 to eliminate the fraction and get the answer, 9=ST.

if you have any questions, leave them in the comments and i will try to answer them, if this helped, pls give brainliest