Which operation should be done first in the expression below? 13 − 2 • 16 + 2

Answer:

A. √500

Step-by-step explanation:

Since 500 = 5·100 = 5·10² you can move the 10² out of the √ as 10.

Hence 10√5 = √500

So we're using these rules:

√a·b = √a·√b

and of course

√a² = a  (a>0)

Answer:

1. 3

2. 3

3. 15

Step-by-step explanation:

Answer:

[tex]\frac{y-2}{4}[/tex]

Step-by-step explanation:

Let's start by factoring everything:

[tex]\dfrac{\frac{y^2+y}{y^2-2y}}{\frac{4y+4}{y^2-4y+4}}=[/tex]

[tex]\dfrac{\frac{y(y+1)}{y(y-2)}}{\frac{4(y+1)}{(y-2)^2}}=[/tex]

Now, you can cancel out some terms:

[tex]\dfrac{\frac{y+1}{y-2}}{\frac{4(y+1)}{(y-2)^2}}=[/tex]

Now, when you divide a fraction by another fraction, that is the same as multiplying the first fraction by the reciprocal of the second one:

[tex]\frac{y+1}{y-2}\cdot \frac{(y-2)^2)}{4(y+1)}=[/tex]

[tex]\frac{y-2}{4}[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

6/20 Gallons

Answer:

[tex]\frac{3}{10}[/tex].

Step-by-step explanation:

To do this, we will need to subtract fractions.

[tex]\frac{15}{20}-\frac{9}{20}=\frac{6}{20} =\frac{3}{10}[/tex] (Simplified)

Answer:

6

Step-by-step explanation:

Let "a number" = x

44 = 8x - 4

Simplify. Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First add 4 to both sides:

44 (+4) = 8x - 4 (+4)

44 + 4 = 8x

48 = 8x

Isolate the variable, x. Divide 8 from both sides:

(48)/8 = (8x)/8

x = 48/8

x = 6

6 is your answer.

~

Answer:The number is 6.

Step-by-step explanation:

8n - 4 =44

    +4     +4

8n =48

n=6

Answer:

116800

Step-by-step explanation:

14600x8

166800

Answer:

b

Step-by-step explanation:

hope this helps you

We have been given image of circle that passes through point [tex](-7,-7)[/tex]. We are asked to find the radius of the circle.

First of all, we will find the center of the circle.

We can see that center of circle is at point [tex](-2,-1)[/tex].

Now we will use equation of circle to find radius.

[tex](x-h)^2+(y-k)^2=r^2[/tex], where, point (h,k) represents center of circle and r represents radius of circle.

Now we will substitute the coordinates of point [tex](-7,-7)[/tex] and coordinates of center [tex](-2,-1)[/tex] and solve for r as:

[tex](-7+2)^2+(-7+1)^2=r^2[/tex]

[tex](-5)^2+(-6)^2=r^2[/tex]

[tex]25+36=r^2[/tex]

[tex]61=r^2[/tex]

Switch sides:

[tex]r^2=61[/tex]

Now we will take positive square root on both sides:

[tex]\sqrt{r^2}=\sqrt{61}[/tex]

[tex]r=\sqrt{61}[/tex]

Therefore, radius of circle will be [tex]\sqrt{61}[/tex] and center is at point [tex](-2,-1)[/tex].

Answer:

A

Step-by-step explanation:

The formula for circumference is C = 2[tex]\pi[/tex]r. When plugging in these values, 2 x 3.14 x 4.5 is equal to 28.26.

Circumference of her garden is 28.26 m. So, Option 'A' is the correct answer to the following question.

What information do we have?

Radius of circular garden = 4.5 m

Circumference of her garden = circumference of circle

So,

Circumference of her garden = 2πr

Circumference of her garden = 2(3.14)(4.5)

Circumference of her garden = 28.26 m

Find out more information about 'Circumference'.

https://brainly.com/question/12512221?referrer=searchResults

Answer:

B and E

Step-by-step explanation:

Subtract the area of the rug from the bedroom floor.

Answer:

E

Step-by-step explanation:

Area of the floor that is not covered = Area of floor - area of rug

= 19 *19 - 5*8

= 361 - 40

= 321 Sq.ft

Answer:

157.08

pi x radius x radius x height/3

Step-by-step explanation:

Answer:

V≈157.08

Step-by-step explanation:

I used the formula for a cone:

V=πr2h/3 (h/3 as in a fraction)

Answer:

5

Step-by-step explanation:

In this question the slope would be 5.

y= mx + b is the equation being used.

y = 5x -1

m = slope

Answer:

5

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

i Substituted the value ofthe variable into the equation and simplified it.

Answer:

Distance between the points (-9,2) and (-4,2):

D = sqrt[(-9 - -4)^2 + (2 - 2)^2] = 5

=> Option A is correct

Answer:

B.13

Step-by-step explanation:

In order to solve the distance between two points you need the distance formula which is -> Distance = √  (x1 - x2)^2 + (y1 - y2)^2  

-9 would be x1 and -4 would be x2(so the first numbers of both sets)

Then 2 would be y1 the other 2 would be y2(in this question they both have the same Ys)

You plug in the numbers to the formula.

Which would be:

Distance = √  (-9-4)^2 + (2-2 )^2

Start solving the first part and you will get this:-9-4=-13.Now that the inside is solved,you do the rest,you multiply what you got with the exponent.√(-13)^2=√169.

Then do the second part which is more simple.2-2=0 and when you multiply anything with a 0 is still 0 so when multiplied with the exponent,it stays the same.

You get left with the same answer of √169 and you just have to square root that which is 13.To check your answer,multiple 13*13 which you should get 169.:) Hopefully this was helpful and you understood everything I meant.

Answer:

23

Step-by-step explanation:

you take the greatest and least greatest number until only one is left.

21, 27, 29, 20, 22, 33, 23

21, 27, 29, 20, 22, 23

21, 27, 29, 22, 23

27, 29, 22, 23

27, 23

23

Answer:

Make headway with these volume of a composite 3D figure worksheet pdfs featuring figures made up of 2 or 3 solid shapes. Add the volume of each geometric ...

Step-by-step explanation:

Answer:

124 sq cm

Step-by-step explanation:

Surface Area of the recatangles on both sides is 50 cm each so

50+50=100

and the area of the two triangles is 12 each so

12+12=24

and 100+24=124

Answer:

184cm^2

Step-by-step explanation:

SA=hp+2B

h=10

p=16

hp=160

B= 1/2bh

B=12

12x2=24

hp+2B= 24+160= 184

Answer:

Amanda's box volume is 70 cm^3 greater than Mary's

Step-by-step explanation:

Find and then compare the volumes of the two boxes:

Amanda's:  10*10*13.5 cm^3 = 1350 cm^3

Mary's:  8*8*20 = 1280 cm^3

Amanda's box volume is 70 cm^3 greater than Mary's.

Answer:

B)6 units

Step-by-step explanation:

-10-9-8-7-6-5-4-3-2-1 01234 5 6 7 8 9 10

or

-7-(-1)=-6

Distance can't be a negative so the answer is 6.

10×30% = 3

30÷3= 10

10 + 3 =13

new salary per hour is $13

Answer:

D

Step-by-step explanation:

For this one (and others that are similar to this one) you can't have a portion of a box, therefore, you can eliminate all the other answers.

The smallest number of boxes she needs to pack all the eggs is 15.67,

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Total Eggs = 94

Each box Hold= 6 eggs

So, number of boxes required to hold 94 eggs

= 94 / 6

= 15.66

Hence, smallest number of boxes she needs is 15.67

Learn more about Unitary Method here:

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Answer:

90%

Step-by-step explanation:

9/10 = 90/100

the answer to the equation is 90

So the right answer is of option C

Look at the attached picture

Hope it will help u ..

We have been given that a Bowling ball is rolled down the alley with the constant velocity of 1.6 m/sec at an angle of 85° to the starting line, the position of the person throwing a bowling ball can be represented by the point (0,0).

We are asked to find the position of ball after 6 seconds.

We will use horizontal position and vertical position formula to solve our given problem.

Horizontal position is given by formula: [tex]x=v\cdot \text{cos}(\theta)\cdot t[/tex] and vertical position is given by formula: [tex]y=v\cdot \text{sin}(\theta)\cdot t[/tex],where,

v = Velocity,

t = Time,

[tex]\theta[/tex] = Angle to the starting line.

For our given problem [tex]v=1.6[/tex], [tex]t=6[/tex] and [tex]\theta=85^{\circ}[/tex].

[tex]x=1.8\cdot \text{cos}(85^{\circ})\cdot 6[/tex]

[tex]x=10.8 \cdot 0.087155742748[/tex]

[tex]x=0.9412820216784\approx 0.94[/tex]

[tex]y=1.8\cdot \text{sin}(85^{\circ})\cdot 6[/tex]

[tex]y=10.8\cdot 0.996194698092[/tex]

[tex]y=10.7589027\approx 10.76[/tex]

Therefore, the position of ball after 6 seconds would be [tex](0.94,10.76)[/tex].

Answer:

(0.8,9.6)

Step-by-step explanation:

x=1.6*cos85* 6=0.8

y=1.6*sin85 *6=9.6

Answer:

B. 1.2, 1.234, 1.237, 1.48, 2.01

Step-by-step explanation:

Answer:

2 3/8

Step-by-step explanation:

5 1/8 - 2 3/4

= 5 1/8 - 2 6/8

= 4 9/8 - 2 6/8

= 2 3/8

Answer:

7x-58

just add all the terms

Answer:

acute

Step-by-step explanation:

the largest number for the angles is 70 wich is an acute number and since the angles are all not equal its not equilateral

Answer:

it D . acute and A .scalene

Answer:

A -5or5

Step-by-step explanation:

|n|=5

Absolute value means take the positive value of the number

|5|=5

|-5|=5

so positive 5 and -5