(-10) (-8) + (+1) + (-6) + (-30)​

Answer:

43.98

Step-by-step explanation:

You have to multiply 14 times Pi which is approximately 3.14 and then round to the nearest ten.

1: $2745

2: $8970

Ya just multiply the percent by the amount of years and add it to the original amount of money in the account.

Answer:

1.) Scale factor from the actual flower garden to the scale drawing = 20 : 1

2.) Dimensions of the flower garden in the new scale drawing = 7.5 inches × 11.25 inches

3.) Scale factor from the actual flower garden to the new scale drawing = 8:1

Step-by-step explanation:

Given - Penny’s backyard contains a flower garden. The dimensions of the

             actual garden are 5 feet by 7½ feet. A scale drawing of the flower

             garden is 3 inches by 4.5 inches.

To find - 1. What is the scale factor from the actual flower garden to the

                  scale drawing?

              2. If the drawing is enlarged by a scale factor of 5/2, what would    

                  be the dimensions of the flower garden in the new scale

                  drawing?

              3. What is the scale factor from the actual flower garden to the

                   new scale drawing?

Proof -

As we know that,

1 feet = 12 inches

⇒5 feet  = 5×12 = 60 inches

  7½ (= [tex]\frac{15}{2}[/tex]) feet = [tex]\frac{15}{2}[/tex]×12 = 90 inches

∴ we get

The dimensions of the actual garden is 60 inches by 90 inches.

1.)

As,

[tex]\frac{60}{3} = \frac{20}{1} = 20 : 1[/tex]

[tex]\frac{90}{4.5} = \frac{900}{45} =\frac{20}{1} = 20 : 1[/tex]

So,

Scale factor from the actual flower garden to the scale drawing = 20 : 1

2.)

As given,  If the drawing is enlarged by a scale factor of 5/2

⇒Dimensions of flower garden = 3×[tex]\frac{5}{2}[/tex] inches by [tex]4.5 (\frac{5}{2})[/tex] inches

                                                    = 7.5 inches by 11.25 inches

∴ we get

Dimensions of the flower garden in the new scale drawing = 7.5 inches × 11.25 inches

3.)

Scale factor from the actual flower garden to the new scale drawing = [tex]\frac{60}{7.5}[/tex] = [tex]\frac{600}{75} = \frac{8}{1} = 8 : 1[/tex]

Cost of a television Ms. Singh wants to buy = £840

Ms. Singh's weekly wage = £300

Money she saves each week :

= 40% of her weekly wage

[tex] =\tt 40\% \: of \: 300[/tex]

[tex] = \tt \frac{40}{100} \times 300 [/tex]

[tex] =\tt \frac{40 \times 300}{100} [/tex]

[tex] =\tt \frac{12000}{100} [/tex]

[tex]\color{plum} = \tt£120[/tex]

Thus, Ms. Singh's weekly savings = £120

Number of weeks in which she will be able to buy a TV :

[tex] = \tt \frac{840}{120} [/tex]

[tex]\color{plum} =\tt 7 \: weeks[/tex]

Therefore, Ms. Singh will be able to buy a TV from her savings in 7 weeks.

Answer:

£ 153.93 = £154  

Step-by-step explanation:

area 1 = 15 m^2

cost= £110

cost per meter =£7.33 m^2

------------

area= 1 x b= 5 x 4.2= 21 m^2

Cost = 21 x £7.33=£ 153.93 ~ £154  

Answer:

She would need to order 11.5 pizzas. But of course she wouldn't order 11.5 so she'll just round up and order 12 pizzas.

Step-by-step explanation:

Take 4 pieces of pizza for each person and multiply that by how many people there are in this case 23. The answer would be 92 pieces of pizza would be needed to feed all of the 23 people. So you take 92 and divide it by 4 because each person gets 4 slices and the answer you get is 11.5. If the question is a multiple choice and it gives you the option of 11.5 then that's the answer but if its a fill in then round up to 12 pizzas because if not there will not be enough pizza for everyone.

Hope this helped! :)

Answer:

(9x2 + 4x - 6) + (5x3 + 2x2 - 2x - 5) = 5x3 + 11x2 + 2x - 11

So, if, say 9 - 5 = 4, 9 - 4 = 5, right?

(5x3 + 11x2 + 2x - 11) - (5x3 + 6x2 + x - 16) = 5x2 + x + 5

Step-by-step explanation:

hope this helps sir! :D

Answer:

3 friends

Step-by-step explanation:

4 / 1 1/3 = 4 / 4/3 = 4 x 3/4 = 3 friends

Hope that helps!

Answer:

3 friends.

Step-by-step explanation:

Divide 4 pizzas by 1 1/3. This will get you 3. You can check your work by multiplying 3 by 1/13, which gets you 4 pizzas, therefore proving this answer as correct.

Answer:

1.

[tex]7x[/tex]

2.

[tex]x - 5[/tex]

3.

[tex]x \div 2[/tex]

4.

[tex]x + 4[/tex]

Hope it helped

PLS mark BRAINLIEST

Answer:

Y=-2

Step-by-step explanation:

Hope that helps you

Answer:

y=-2

Step-by-step explanation:

first, you have to leave y alone so you have to add 2 on both sides to delete -2

y-2+2=-4+2

now -2+2=0 so that's gone and -4+2 is -2

Now you have the answer UvU

y=-2

Answer:

£48

Step-by-step explanation:

£25 = 450 rubles

We need to know how many rubles you can get from £1.

£25 = 450

£ = 450/25

£ = 18

So, with £1 you get 18 rubles.

To know how many £'s you would need for 864 rubles, you need to divide 864 by 18.

£ = 864/18

£ = 48

Answer:

I think 12yards

Answer:

75-9d

Step-by-step explanation:

Hello,

The Answer to the question is 75-9d let me explain why,

you are asking, how much money is leftover. For me to get that I need to know that for every book it cost "d" dollars.

You know you have $75, and you need 9 books, we don't know how much they cost but we don't really need to.

75 - 9d

75 is the total. You need to subtract it by how many books your buying, 9.

The books are d amount of dollars, so we put 9d so that we know that for every 1 book it cost d amount so technically 9 is the amount of books times d, how much 1 book costs

Hope you can understand, I was having some trouble finding a way to explain it so my bad.

Also, I haven't done that in a while so sorry if I'm wrong

-Nova

Answer:

Each additional cup is 1 centimeter.

Step-by-step explanation:

We know this because we can see the height on the graph. For each number of cups increased (y-axis), 1 centimeter in height increases as well.

Therefore, we can say that each additional cup is 1 centimeter.

Answer:

y = x + 11

Step-by-step explanation:

y = 9/0

Slope = 0

5 = -6 + b add 6 to both sides

11 = b

y = x + 11

Answer:

x=3

Step-by-step explanation:

Answer:  22% of the pages are filled up

Step-by-step explanation: 900/9= 100 78% of 100 is 78

22+78=100 therefore reaching 100 percent. since 78% is empty that means 22% is being used.

Answer:

I believe it's 240°

Step-by-step explanation:

It's been awhile since I've done this but I believe that's the answer, here's a picture of a pug. Smile and have a good day!

Answer:

0.077 < 0.7 < 0.707 < 0.77 < 0.777

Answer:

see explanation

Step-by-step explanation:

4G - 6H

= 4[tex]\left[\begin{array}{ccc}1&-7\\7&6\\\end{array}\right][/tex] - 6[tex]\left[\begin{array}{ccc}1&1\\-3&7\\\end{array}\right][/tex] ← multiply each component by the scalar

= [tex]\left[\begin{array}{ccc}4&-28\\28&24\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}6&6\\-18&42\\\end{array}\right][/tex] ← subtract corresponding components

= [tex]\left[\begin{array}{ccc}4-6&-28-6\\28-(-18)&24-42\\\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}-2&-34\\46&-18\\\end{array}\right][/tex]

Answer:

f(x) = 3x² - 14x - 5

Step-by-step explanation:

multiply the factors: (x + 1/3)(x - 5)

x² - 5x + 1/3x - 5/3

x² -14/3x - 5/3

multiply by 3 to eliminate fractions:

3x² - 14x - 5

Answer:

Vertical intercept of a graph

The vertical intercept is the point where the graph of a line crosses the vertical axis. The vertical intercept of this line is or just -6.

Step-by-step explanation:

btw so hard question mate, enjoy the answer

Answer:

x=2,y=3 (2,3)

Step-by-step explanation:

substitution method?

[tex]x=\frac{5y-9}{3} \\[/tex]

[tex]-\frac{4(5y-9)}{3} + 6y=10[/tex]

simplify

(2,3)

Answer:

One more transformation — a rotation — would map △ABC onto △FED So the triangles are congruent.

Step-by-step explanation:

Yup

The pair of angles are acute angles.

The correct option is none of these.

The angles between two lines are the angles formed by two intersecting lines, measured in degrees or radians.

Several different types of angles can be formed between two lines, including acute angles, right angles, and obtuse angles.

We have,

The pair of angles of 30 and 30 are equal in measure.

But they are not adjacent, as they do not share a common vertex and a common side.

They are also not complementary, as complementary angles add up to 90 degrees, and 30 + 30 = 60.

Similarly, they are not supplementary, as supplementary angles add up to 180 degrees, and 30 + 30 = 60.

Therefore,

The pair of angles are none of the given options.

Learn more about angles here:

https://brainly.com/question/7116550

#SPJ7

Answer:

17. x=11  18. x=18

Step-by-step explanation:

For 17, 14x-25=129, add 25 to 129 to get 154, then divide 154 by 14x to get x=11. The conditional for 17. would be "If J║K then alternate interior angles are congruent.

For 18. 2x-8+9x-10=180, combine like terms to get 11x - 18 =180, add 18 to 180 to get 198 than divide 198 by 11x and get x = 18. Converse statement would be, "If J║K then consecutive interior angles are supplementary.