2) If 20 workers can build a house in 45 days, how many more workers are needed
to complete it in 30 days?
А
6
B
15
С
10
D
18

Answer:

i think its 4.5

Step-by-step explanation:

Answer:

√600 is around 24.5 while ∛56 is around 3.83

Step-by-step explanation:

Method: TRIAL AND ERROR

For √600, we can follow trial and error method:

30^2 is 900, so too big

20^2 is 400, so too small

25^2 is 625, too big

24^2 is 576, too small

Considering that 600 is between 24^2 and 25^2, we can try in between:

24.5^2 is 600.25, which is very close, therefore 24.5 is the answer

For ∛56, we can also follow trial and error method:

5^3 is 125

4^3 is 64

3^3 is 27

Considering that 56 is somewhere between 3^3 and 4^3, and that it's much more closer to 4^3, we can try 3.6^3, which is: 46.656;

3.7^3 is 50.6

3.8^3 is 54.8

3.9^3 is 59

3.85^3 is 57

3.84^3 is 56.6 (still larger)

3.83^3 is 56.1

So the answer is 3.83

But the method above works when using calculator, best for a calculator exam. If calculator is not allowed, you can find the difference between the two possible answers (e.g: 27 and 64 (3^3 and 4^3) following the above, to find out ∛56.) Of course, 56 is much nearer to 4^3, so we can assume that the answer is around 3.8.

Hope this helped. :)

~ Janice, year 10

Answer:

5/7

Step-by-step explanation:

You can convert them to fractions to answer:

7/5=1.4

5/7=0.714

7/5 is 0.4 away from 1, while 5/7 is 0.3 away.

Answer:

5/7 is closer

Step-by-step explanation:

7/5= 49/35=1 14/35

5/7= 25/35

7/5 is 14/35 away from one whereas 5/7 is 10/35 away.

Let the digit in one's place be y and digit at ten's place be x.

Sum of the digits = 11

⟶ x + y = 11

⟶ x = 11 - y -- equation (1).

And,

The number formed by reversing the digits is 27 more than the original number.

⟶ Reversed number = Original number + 27

reversed number = 10y + x.

⟶ 10y + x = 10x + y + 27

⟶ 10y + x - 10x - y = 27

⟶ 9y - 9x = 27

Substitute the value x from equation (1).

⟶ 9y - 9(11 - y) = 27

⟶ 9y - 99 + 9y = 27

⟶ 18y = 27 + 99

⟶ 18y = 126

⟶ y = 126/18

⟶ y = 7

Substitute the value of y in equation (1).

⟶ x = 11 - 7

⟶ x = 4

The number = 10(4) + 7 = 40 + 7 = 47.

∴ The required two digit number is 47.

I hope it will help you.

Regards.

Answer:

Step-by-step explanation:

A quadratic equation has equal/repeated solutions when a discriminant (Δ) is equal 0.

The formula of a discriminant (Δ) of equation

[tex]ax^2+bx+c=0\\\\\Delta=b^2-4ac[/tex]

We have the equation

[tex]4x^2+8x+p=0\to a=4;\ b=8;\ c=p[/tex]

substitute

[tex]\Delta=8^2-4\cdot4\cdot p=64-16p\\\\\Delta=0\iff64-16p=0[/tex]

subtract 64 from both sides

[tex]-16p=-64[/tex]

divide both sides by (-16)

[tex]\dfrac{-16p}{-16}=\dfrac{-64}{-16}\\\\p=4[/tex]

Answer:

I cant see

Step-by-step explanation:

Answer:

dont have an answer yet...question too small to see...

Step-by-step explanation:

Answer:

Transformation: (x,y) → (x - 26, y + 17) or

[tex]T _{-26,17}[/tex](x,y) [translation]

A, since the transformation of a translation simply changes the location of a certain figure because all the points of the figure are moved the exact same way. This is because a translation is a rigid transformation.

Explanation:

Let the preimage of points A and P be A(x1,y1), and P(x2,y2). And the image of points A and P be A'(x3,y3) and P'(x4,y4).

Given points A and P are A(-2,20) and (10,-13). And points A' and P' are A'(-28,37), and P'(-16,4). The translation is found by calculating the difference between these points for the figure. (x,y) → (( x + ((x3-x1) + (x4-x2))/2), (y + ((y3-y1) + (y4-y2))/2 )). If this does not match all the points in the transformation of the figure, than it is not a rigid transformation, and so it cannot be a translation.

The simple formula for the uniform translation of a figure is : (x,y) → ((x + (x2-x1), (y + (y2-y1)) . Where x2, and y2 are part of the image, while x1, and y1 are part of the preimage. This will get you from the preimage(1) to image(2) following a translation.

Given all the points, the more complicated work is shown here:

(x,y) → ((x + ((-28--2) + (-16-10))/2), (y + ((37-20) + (4--13))/2)) = (x,y) → ((x + (-26 + -26)/2),(y + (17 + 17)/2) = (x,y) → ((x - 26),(y + 17)) = (x,y) → (x - 26, y + 17).

When writing a transformation like a translation in a function, it will look like this: [tex]T _{∆x,∆y}[/tex](x,y). ∆x,∆y are just placeholders for the change in these variables that get you from the preimage to image.

Answer:

14824

Step-by-step explanation:

the product is 14824

5y-30=-5y+30

add 30 to both sides

5y = -5y+60

add 5y to both sides

10y = 60

divide both sides by 10

y = 6

hope this helps!

Answer:

The answer is 22.4.

Answer:

22.4

Step-by-step explanation:

you multiply 6 and -2.4 by 9

that gives you 54 and -21.6

then you add -10 to -21.6 giving you -31.6

lastly subtract -31.6 out of 54

which gives you 22.4

Answer:

10,500.93 feet

Step-by-step explanation:

From the question, we are told that Tom walks 3.2km every morning.

1 mile = 1.609km

1 mile = 5280 feet

Step 1

1.609km = 1 mile

3.2km = x mile

Cross Multiply

x mile × 1.609km = 3.2km × 1 mile

x mile = 3.2km × 1 mile/1.609.

= 1.9888129273 miles

1 mile = 5280 feet

1.9888129273miles = y

Cross Multiply

y = 1.9888129273 × 5280 feet/1 mile

= 10500.932256 feet

Approximately = 10,500.93 feet

Therefore, Tom walks for 10,500.93 feet

10560

Answer:

10,500.93 feet

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

10x - 7 = 7x - 1

10x = 7x + 6

3x = 6

x = 2

Answer:

x = 2

Step-by-step explanation:

Add seven to both sides to move it over to the right, then subtract 7x from both sides to move that over to the left.

You should be left with 10x - 7x = 7 - 1.

10x - 7x = 3x

7 - 1 = 6

3x = 6

Divide both sides by three to get your answer of x = 2.

Answer:

Subtract

43

from

10

.

−

33

−

|

7

p

+

12

|

Step-by-step explanation:

The positive value of p from the equation is; p = 3

This is about absolute values.

10 = 43 - |7p + 12|

10 - 43 = - |7p + 12|

-33 = - |7p + 12|

divide both sides by -1 to get;

33 = |7p + 12|

Answer:

g(x)=(x-7)/3

Step-by-step explanation:

Answer:

The answer would be  [tex]f^{-1} (x)=\frac{x}{3} -\frac{7}{3}[/tex] finding the inverse

Step-by-step explanation:

Answer:

3-6 I think

Step-by-step explanation:

Answer:

Step 1

Step-by-step explanation:

Answer:

D i'm pretty sure

Step-by-step explanation:

Answer: $2.19

Step-by-step explanation: you have to find the surface area. Add 10*7*2 and 7*1.25*2 and 1.25*10*2 and then multiply by 0.012! Then you can get your answer. (17.5 + 140 + 25)*0.012. I think this is right. Sorry if itś not.

Answer:

Its -1. Do not call yourself dumb, though, negatives are the easiest subject

Step-by-step explanation:

Answer:

1. 16=v    top left

2. n=5.8   bottom left

3. n= -31.9   top right

4. b= 6 .   bottom right

If I am wrong I am sorry

Answer:8/3

Step-by-step explanation:divide both sides by -3 2 negative make a positive add 2 to both sides simplify 2/3 +2 to 8/3

Answer:

The answer is

[tex] \huge \boxed{k = \frac{8}{3} } \\ [/tex]

Step-by-step explanation:

[tex]−3(k − 2) = −2 [/tex]

Expand the terms in the bracket

That's

[tex] - 3k + 6 = - 2[/tex]

Subtract 6 from both sides of the equation

We have

[tex] - 3k + 6 - 6 = - 2 - 6 \\ - 3k = - 8[/tex]

Divide both sides by - 3

[tex] \frac{ - 3k}{ - 3} = \frac{ - 8}{ - 3} \\ [/tex]

We have the final answer as

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

Hope this helps you

Answer:

She will leave an extra video game which weighs 0.25lb

Step-by-step explanation:

Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 lb), and a music player (0.4 lb). Using the inequality x ≤ 2.25, can she add all these items to the suitcase? If not, what could be left out to be closest to the maximum weight allowed?

Solution:

Weight of the items

hairdryer = 1.25 lb

hand-held video game = 0.6 lb

an extra video game = 0.25 lb music player = 0.4 lb

The total weight of the items

= 1.25lb + 0.25lb + 0.6lb + 0.4lb

= 2.5 lb.

Total weight - required weight

= 2.5lb - 2.25lb

= 0.25lb

2.5lb is 0.25lb greater than 2.25lb

Therefore, not all items can be added.

She has to leave out an item equivalent to 0.25lb

Item equivalent to 0.25lb is the extra video game

If Li leaves out the extra game, which weighs 0.25 lb, she’d have the maximum weight allowed.

Answer:

The total weight of the items is 1.25 + 0.25 + 0.6 + 0.4 = 2.5 lb. 2.5 is 0.25 greater than 2.25, so not all the items can be added. If Li leaves out the extra game, which weighs 0.25 lb, she’d have the greatest possible weight allowed.

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

-14x+28+6x=-44

-8x+28=-44

-8x= -16

x=2

combine like terms

-8x+28 = -44

subtract 28 from both sides

-8x = -72

divide both sides by -8

x = 9

Answer:

Step-by-step explanation:

3(-3) - 2 = -9 - 2 = -11

3(1) - 2 = 3 - 2 = 1

3(5) - 1 = 15 - 1 = 14

Answer:

Step-by-step explanation:

23.74, .43, .2734, .0347, .0043

Answer:

The differences between a physical change and a chemical change are as follows :

Hope I helped!

Best regards ! :D

~[tex] \text{TheAnimeGirl}[/tex]

Answer:

170

Step-by-step explanation:

you have to set up a proportion and cross multiply.

[tex] \frac{408 \: miles}{6 \: hours} = \frac{x \: miles}{2.5 \: hours} [/tex]

that would cross multiply to

[tex]408 \: miles \: \times 2.5 \: hours \: = 6 \: hours \: \times x \: miles[/tex]

which would simplify to

[tex]1020 = 6x[/tex]

then, you isolate x by dividing 6 from both sides to get the final answer of

[tex]170 \: miles = x[/tex]

Answer:

22

Step-by-step explanation:

You can just put it in your calculator

Answer:

22

Step-by-step explanation: