Simplify the expression, show all of your work.
3 +[tex]5^{2}[/tex] - 9 ÷3×4

Answer:

£224

Step-by-step explanation:

Given data

P= £200

R=4%

T=3 years

Simple interest

A= P(1+rt)

Substiute

A= 200(1+0.04*3)

A=200(1+0.12)

A=200*1.12

A=£224

Hence the investment at the end of the period is £224

Answer:

Part A: [tex]l = 60[/tex], Part B: [tex]b = \frac{9\sqrt{2}}{2}[/tex]

Step-by-step explanation:

The Pythagorean Theorem determines the length of the hypotenuse of right triangle ([tex]r[/tex]) by means of following formula:

[tex]r^{2} = x^{2}+y^{2}[/tex] (1)

Where [tex]x[/tex], [tex]y[/tex] are respective lengths of each leg.

Now we proceed to solve on each triangle:

Part A: ([tex]r = l[/tex], [tex]x = y = 30\sqrt{2}[/tex])

[tex]l^{2} = (30\sqrt{2})^{2}+(30\sqrt{2})^{2}[/tex]

[tex]l^{2} = 3600[/tex]

[tex]l = 60[/tex]

Part B: ([tex]r = 9[/tex], [tex]x = b[/tex], [tex]y = \frac{9\sqrt{2}}{2}[/tex])

[tex]9^{2} = b^{2}+\left(\frac{9\sqrt{2}}{2} \right)^{2}[/tex]

[tex]81 = b^{2}+\frac{81}{2}[/tex]

[tex]b^{2} = \frac{81}{2}[/tex]

[tex]b = \frac{9\sqrt{2}}{2}[/tex]

Answer:

none of them

Step-by-step explanation:

in order for them to be triangle lengths the two shorter size added together have to be greater than the longest side and in each answer choice if you add the two shorter sides none of them are greater than the longer side if that makes sense

Answer: what you need to find is the one where the two lowest numbers add up to be bigger than the biggest number. For example, if it was 3,7,5 then those could be right because 5+3=8 and 8 is bigger than 7. It is supposed to be that any two added is bigger than the third, but it's mist important that the smaller numbers equal more than the third

Step-by-step explanation:

Answer:

y = -3x^2/10 + 6x

Step-by-step explanation:

Answer:

-2,-1,0

Step-by-step explanation:

the integers between -3 and 1, not including -3 and 1 are

-2,-1,0

Answer:

22.5°

Step-by-step explanation:

First we need to figure out the size of the interior angles on the inside.

The formula of figuring out the total degrees of all the interior angles of any shape is (n-2)×180°.

N is the number of sides.

If we substitute our number of sides (8) we get this:

(8-2)×180°

6×180° = 1080°

Then we divide 1080 by 8 since this is a regular octagon (all angles are equal in a regular shape).

1080° ÷ 8 = 135°

Focusing on the triangle now, we now know that the angle on the tip of the triangle is 135° as it has not been split by the line.

Using the rule of angles in a triangle add up to 180°. We do this sum:

180° - 135° = 45°

There are 2 angles left in the triangle so we do:

45° ÷ 2 = 22.5°

Therefore the angle of x is 22.5°.

Answer:

A.

Step-by-step explanation:

Answer:

3x - 1 = 71

3x = 72

x = 24

Step-by-step explanation:

Answer:

Step-by-step explanation:

Simplifying

3x + -1 = 71

Reorder the terms:

-1 + 3x = 71

Solving

-1 + 3x = 71

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.

-1 + 1 + 3x = 71 + 1

Combine like terms: -1 + 1 = 0

0 + 3x = 71 + 1

3x = 71 + 1

Combine like terms: 71 + 1 = 72

3x = 72

Divide each side by '3'.

x = 24

Simplifying

x = 24

Answer:

Step-by-step explanation:

Answer:

there are no solutions

Step-by-step explanation:

In y=-3x+7, -3 is the slope, and 7 is the y-intercept.  In 3x+y=4, this equation also equals -3x+4=y. So, -3 is the slope, and 4 is the y-intercept. Once you graph the equations(as seen in the picture below) you should find where the lines intersect. Although, the lines are parallel since the slopes are the same.

Answer:

Length = 16 feet, width = 12 feet

Step-by-step explanation:

The length is 8 cm. So divide this by 2 to find out how many 2 cm are in 8 cm. You get 4. Multiply 4 x 4 (ft) to find out the real length. This means the length is 16 feet.

Do the same steps with the width. The real length is 12 feet.

Hope it helps!

Answer

First off, nice 100 point scam, don't do it again, because you could get warned or even worse banned, second off Have a great day!

Length = 16 feet, width = 12 feet

Step-by-step explanation:

The length is 8 cm. So divide this by 2 to find out how many 2 cm are in 8 cm. You get 4. Multiply 4 x 4 (ft) to find out the real length. This means the length is 16 feet.

Do the same steps with the width. The real length is 12 feet.

Hope it helps!

Step-by-step explanation:

Answer:

its C

Step-by-step explanation:

it's because 3x7 is 21 add 4 to that its 25 and that's your answer

Answer:

Can you convert pounds to dollars?

Step-by-step explanation:

Step-by-step explanation:

x+ 172= 180-x

x+ 172= 180-x2x= 8

x+ 172= 180-x2x= 8x= 4°

180-4= 176

the angle is 4° and the measure of the other angle is 176°

Answer:

8

Step-by-step explanation:

Answer:

x = 21

Step-by-step explanation:

5x + 18 = 7x - 24

=> 5x - 7x = - 24 - 18

=> -2x = - 42

=> x = -42 / -2

=> x = 21

Hope it helps :)

Please mark my answer as the brainliest

Answer:

2 Gallons

Step-by-step explanation:

20.5ft x 16.4ft = 336.2

336.2 divided by 200= 168 gallons

Since you can not buy 1.68 gallons you will have to buy 2 galllons instead.

Answer:

x = -33

Step-by-step explanation:

-1/3 x - 9 = 2 add nine to both sides

-1/3 x = 11 multiply both sides by -3

x = -33

Hope that helps

Note: In option A, it should be "+" instead of "(".

Given:

The expression is

[tex]-2x(x+y-3)+3(-x+4y)+y(3x+5y-3)[/tex]

To find:

The equivalent expression.

Solution:

We have,

[tex]-2x(x+y-3)+3(-x+4y)+y(3x+5y-3)[/tex]

Using distributive property, we get

[tex]=-2x(x)-2x(y)-2x(-3)+3(-x)+3(4y)+y(3x)+y(5y)+y(-3)[/tex]

[tex]=-2x^2-2xy+6x-3x+12y+3xy+5y^2-3y[/tex]

On combining like terms, we get

[tex]=-2x^2+5y^2+(-2xy+3xy)+(6x-3x)+(12y-3y)[/tex]

[tex]=-2x^2+5y^2+xy+3x+9y[/tex]

The expression [tex]-2x^2+5y^2+xy+3x+9y[/tex] is equivalent to the given expression.

Therefore, the correct option is A.

Answer:

I think 8

Step-by-step explanation:

i think 8 because if you have 1 meter with .5 a meter shadow then i would think 16 meters would cast half of itself which would be 8

sorry if im totally wrong

Answer:

$14.98

Step-by-step explanation:

The store bought the pair of shoes for $42.80.

If the store sells the pair of shoes at a 35% markup, then it is selling it at:

([tex]\frac{35}{100}[/tex] × 42.80 ) + 42.80 = 14.98 + 42.80 = $ 57.78

To calculate how much money the store is making from selling this pair of shoes:

57.78 - 42.80 = $14.98

The store would be making $14.98 for selling one pair of shoes to a customer.

Answer:

45%

Step-by-step explanation:

Given data

Last year, the company sold a total of 5,340 ovens

This year, they sold 7,743 ovens

Percent increase=   final-initial/initial*100

substitute

Percent increase=  7,743-5,340/5,340*100

Percent increase= 2403/5,340*100

Percent increase=0.45*100

Percent increase=45%

Hence the increase is 45%

Step-by-step explanation:

To get the circumference of a circle: 2[tex]\pi[/tex]×radius

Your circle has a given diameter of 3 feet.

To get the radius: 3 ÷ 2 = 1.5

To get circumference of this circle: 2 × [tex]\pi[/tex] × 1.5 = 9.424777961......

Answer:

Approximately 9.424 feet

Answer:

i am in 7th grade as well the answer is 9.42 rounded to the nearset of a tenth would be 9.4

Step-by-step explanation:

first find the radius by doing diameter ÷2

3÷2=1.5

1.5xπ

Answer:

no hablo inglés xd no te puedo ayudar

Answer:

y^4/x^2

Step-by-step explanation:

i wish i could show the work but tbh i just use the link i comment under

Its helpful

Answer:

22 degrees

Step-by-step explanation:

so if we take this here we know for sure that DZP is equal to 90 degrees

so DZP is split by QZD and QZP

so we take the 90 degrees we know for sure and then we take the two angle measurements we know

and we make this equation

9x + 5 + 3x + 1 = 90

and then we simplify this and it leaves us with

12x + 6 = 90

12x = 84

x = 7

so now that we have what x equals we plug that into QZP in order to find the actual measurement of this angle

3x + 1

3 (7) + 1

21 + 1

leaving us with our answer 22 degrees

and if you want to double check this answer just do the same thing we just did with QZD and plug in x into the equation and then add our answer 22 and the other answer you get for QZD and if that adds up to 90 then that is correct!

hope this helps!

Answer:

4x is the greatest common factor of those two.

Step-by-step explanation:

(-16x + 12x)

4x (-4 + 3)

4x is the GCF

Why you may ask is 4x the GCF because when you divide 4x from both you're left with -4 + 3...... you can't take out the negative from the 16 because when you check your work negative 4x times 3 gives you negative 12x which isn't the equation you started with. So positive 4x times 3 give you 12x.

Hopes this helps!!!

Answer:

The equation is -3n-5=-2. The answer is -1.

Answer:

11/20

Step-by-step explanation:

11/20

Answer:

55/100

Step-by-step explanation:

Beacsue % only equal %/100

Answer:

1. D

2. x=65

Step-by-step explanation:

Hi!

Your answer is D because 78 is 120% of x

120% in decimal point is 1.2.

So it's 1.2x is the same as 120% of x

For question 8:

1.2x=78

Isolate x by divide 1.2 on both sides

78/1.2=65