If you have 12 minutes to get four math problems done on
a test, how many minutes should you devote to each
problem?

Answer:

2. 3^2

Step-by-step explanation:

Use PEMDAS. First parenthesis, exponents (3^2), multiplication, division, addition, and subtraction.

The answer is 2 because you do the exponents in the parenthesis first.

Answer:

[tex]\bold{ 9x = (x+35)\times 5 }[/tex]

Step-by-step explanation:

Jim completed half of the floor in 9 hours.

Let the rate of Jim = [tex]x[/tex] tiles/hr

So, number of tiles that Jim lays in 9 hours = Rate of Jim multiplied by number of hours i.e. [tex]9 \times x[/tex] ..... (1)

Let [tex]y[/tex] tiles/hr be the rate at which Pete lays the tiles.

As per the given question, Pete can lay 35 more tiles per hour than Jim.

i.e. [tex]\bold{ y =x+35}[/tex]

It is given that half of the floor is done by Jim and other half by Pete.

So, we can say that number of tiles for both of them are equal.

Number of tiles by Pete = Rate of Pete [tex]\times[/tex] Number of hours = [tex](x+35) \times 5[/tex]...(2)

Now, we can equate the equations (1) and (2) because the number of tiles are same.

i.e.

The equation that we can use is:

[tex]\bold{ 9x = (x+35)\times 5 }[/tex]

Answer:

Step-by-step explanation:

The square of an even number is an  even .

The square of an odd number is an odd.

2826-even

7779-odd

30018-even

8204-even

Step-by-step explanation:

In my opinion Option A is the correct answer because

Product of 3 and x = 3x

7.5 more than that = 3x + 7.5

Answer:

the answer is option A

Step-by-step explanation:

product of 3 and x = 3x

7.5 more than the product of 3 and x = 3x+7.5

Answer:

See explanation below

Step-by-step explanation:

In all cases you need to isolate x on one side of the inequality symbol using inverse operations.

1.-

[tex]15+x\leq -45\\15-15+x\leq -45-15\\x\leq -60[/tex]

where we subtracted from both side 15 in order to leave x by itself on the left.

2.-

[tex]x-14>12\\x-14+14>12+14\\x>26[/tex]

where we added 14 in order to isolate x on the left

3.-

In this case we need to divide both sides by -5 in order to isolate the x which is being multiplied by the factor -5, but he have to recall that multiplying or dividing by a negative number changes the direction of the inequality symbol (in our case from <  into > )

[tex]-5x<35\\\frac{-5\,x}{-5} >\frac{35}{-5} \\x>-7[/tex]

4.-

[tex]2x>-42\\\frac{2\,x}{2} >\frac{-42}{2} \\x>-21[/tex]

In this case we simply divide both sides by two, and there is no change in the direction of the inequality because the number we are using to divide is a positive number (2)

Answer:

3√6

Step-by-step explanation:

[tex] {a}^{2} = {b}^{2} + {c}^{2} [/tex]

[tex] = {1}^{2} + {( \sqrt{53} )}^{2} [/tex]

[tex] = 1 + 53[/tex]

[tex] {a}^{2} = 54[/tex]

[tex]a = \sqrt{54} = 3 \sqrt{6} [/tex]

The two angles are corresponding angles. Corresponding angles are congruent when we have parallel lines like this. The double arrow markers on the two lines show the lines are parallel.

Corresponding angles are angles that are on the same side of the parallel line, and also on the same side of the transversal line. Both 50 and x are in the upper right corner of each X four corner region.

Answer:

7x+2y<2 will have a shaded area below the boundary line

Answer:

5 m/s

Step-by-step explanation:

cos 60 = 300/x

x = 300/cos 60 = 600

600m / 120sec

5 m/s

Answer:

1. 8+9÷3x(6-5)=11

2. 5+3-(8÷4)=4

Step-by-step explanation:

Answer:

G'(-3, -2), E'(1, 1), W'(-3, 0)

Step-by-step explanation:

A point has coordinates (x, y).

A translation of h units to the right means add h to x.

A translation of h units to the left means subtract h from x.

A translation of k units up means add k to y.

A translation of k units down means subtract k from y.

The translation you need to do is 1 unit right and 2 units down.

That means add add 1 to x of each point. Subtract 2 from y of each point.

G(-4, 0) ----> G'(-4 + 1, 0 - 2) = G'(-3, -2)

E(0, 3) ----> E'(0 + 1, 3 - 2) = E'(1, 1)

W(-4, 2) ----> W'(-4 + 1, 2 - 2) = W'(-3, 0)

Resposta: a) R $ 114,40

Explicação passo a passo:

Dado o seguinte:

Preço à vista da mercadoria = R $ 130

Pagamento inicial = 20% na compra

O saldo pode ser parcelado, o que adicionará 10% ao saldo devedor.

Portanto ; Pagamento inicial :

20% * 130

0,2 * 130 = R $ 26

Saldo devedor = R $ (130 - 26) = R $ 104

Parcela total devida:

Saldo de débito + 10% do saldo de débito

10% do saldo devedor:

0,1 * 104 = R $ 10,40

Parcela total:

R $ (104,00 + 10,40) = R $ 114,40

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

Work Shown:

Given info

P(A) = 7/20

P(A∩B)=49/400

P(B) = unknown

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

P(A∩B) = P(A)*P(B), assuming A and B are independent events

49/400 = (7/20)*P(B)

(7/20)*P(B) = 49/400

P(B) = (20/7)(49/400)

P(B) = (20*49)/(7*400)

P(B) = (20*7*7)/(7*20*20)

P(B) = 7/20

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

Note how

P(A∩B) = P(A)*P(B)

P(A∩B) = (7/20)*(7/20)

P(A∩B) = (7*7)/(20*20)

P(A∩B) = 49/400

which helps to confirm the answer.

Answer:

315 cm²

Step-by-step explanation:

Given the scale factor of 2 similar figures is a : b , then

ratio of areas = a² : b²

Here the scale factor = 7 : 21 = 1 : 3 , thus

ratio of areas = 1² : 3² = 1 : 9

That is the area of the enlargement is 9 times the original, so

area of enlargement = 35 × 9 = 315 cm²

Answer:

increase by a factor of 3

Step-by-step explanation:

First you have to find the width,

35/7=5cm

Since the length had been increased to 21cm, we need to find the larger area,

21*5=105cm^2

now we just need to find how much has the area increased compare to the original area,

105/35=3

Answer:

x≥-56

Step-by-step explanation:

[tex]-12\le \:44+x\\44+x\ge \:-12\\\mathrm{Subtract\:}44\mathrm{\:from\:both\:sides}\\44+x-44\ge \:-12-44\\x\ge \:-56[/tex]

Hi there! Hopefully this helps!

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|[tex](a^{3} - 2a^{2}) - (3a^{2} - 4a^{3} )[/tex]

|

| To find the opposite of [tex]3a^{2} -4a^{3}[/tex], find the opposite of each term.

\/

[tex]a^{3} - 2a^{2} - 3a^{2} + 4a^{3}[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

|

|Combine [tex]-2a^{2}[/tex] and [tex]-3a^{2}[/tex] to get [tex]-5a^{2}[/tex].

\/

[tex]a^{3} - 5a^{2} + 4a^{3}[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

|

|Combine [tex]a^{3}[/tex] and [tex]4a^{3}[/tex] to get [tex]5a^{3}[/tex].

\/

Assuming you misspelled thousandths:

Answer:

67.401

Step-by-step explanation:

0.000 <- this is the thousandths place

5 is greater than or equal to 5, which means you round up.

0+1 = 1.

Answer:

15 Respondents

Step-by-step explanation:

Total number of respondents = n (PUBG ∪ M ∪ C) = 50

PUBG = n(PUBG ) = 15 people

Mobile legends = n(M) = 30 people

Clash of clans = n(C) = 20 people

n ( PUBG ∩ M) = Unknown

Step 1

The first step is to find the number of respondents that chose two or the games

a) Number of respondents that chose Mobile legends and PUBG =

n ( M ∩ PUBG)

30 - x = 15 - x + x

30 - 15 = x + x - x

15 = x

b) a) Number of respondents that chose Mobile legends and Clash of clans =

n ( M ∩ C)

n ( M ∩ C) = y

30 - y = 20 - y + y

30 - 20 = y + y - y

10 = y

c) Number of respondents that chose PUBG and Clash of clans =

n ( C ∩ PUBG) = z

20 - z = 15 - z + z

20 - 15 = z + z - z

5 = z

Step 2

How many Respondents chose all 3 online games

= n ( PUBG ∩ M)

n (PUBG ∪ M ∪ C) = n(PUB ) + n ( M ) + n (C) – n ( M ∩ PUBG) – n ( C ∩ PUBG) – n ( M ∩ C) + n (PUBG ∩ M ∩ C)

50 = 30 + 20 + 15 - 15 - 5 - 10 + n (PUBG ∩ M ∩ C)

50 = 65 - 30 + n (PUBG ∩ M ∩ C)

50 = 35 + n (PUBG ∩ M ∩ C)

50 - 35 = n (PUBG ∩ M ∩ C)

n (PUBG ∩ M ∩ C) = 15

Therefore, the number of Respondents chose all 3 online games = 15

Answer:

15

Step-by-step explanation:

Answer:

4√(xy³)

Step-by-step explanation:

8√(x²y⁶)

The above expression can be simplified as follow:

8√(x²y⁶)

Recall:

m√a = a^1/m

Therefore,

8√(x²y⁶) = (x²y⁶)^1/8

Recall:

(aⁿ)^1/m = a^(n/m)

Therefore,

(x²y⁶)^1/8 = x^(2/8)•y^(6/8)

= x^1/4•y^3/4

= (xy³)^1/4

Recall :

a^1/m = m√a

Therefore,

(xy³)^1/4 = 4√(xy³)

Therefore,

8√(x²y⁶) = 4√(xy³)

Step-by-step explanation:

Answer:

$1,800

Step-by-step explanation:

We know that Tamara invested $15,000 and gets %4 of it each year, She plans to withdraw all the money by the end of 3 years.

4 percent of 15,000 is 600

So we can multiply 600 by three and add it to the 15,000

That gives us 16,800

So Tamara will make a $1,800 interest

Answer:

Step-by-step explanation:

(3, -7)  ⇒   x = 3,   y = -7

x + y = 3 + (-7) = -4

3x + 2y = 3•3 + 2(-7) = 9 - 14 = -5

    x + y < -4                            3x + 2y < -5

A.

  -4 < - 4   ←  false                 -5  < -5   ← false

B.

  -4 ≤ - 4   ←  true                   -5  < -5   ←  false

C.

  -4 < - 4   ←  false                  -5  ≤ -5   ←  true

D.

   -4 ≤ - 4   ← true                  -5  ≤ -5   ← true

Answer:

D.  

x + y ≤ -4

3x + 2y ≤ -5

Step-by-step explanation:

it was right on plato

Answer:

C

Step-by-step explanation:

When completing the square, we essentially want to create a perfect square trinomial by adding a constant.

If we have the following expression:

[tex]x^2+bx[/tex]

And we want to complete the square, we will need to divide the b-coefficient by half and then square it.

Thus, the added term should be:

[tex](b/2)^2[/tex]

In the given equation, we have:

[tex](x^2-8x)-10[/tex]

The b term here is 8. Therefore:

[tex](8/2)^2\\=(4)^2\\=16[/tex]

The value we would add would be 16.

The answer is C.

Further notes:

To complete the square, add 16 like mentioned earlier. However, we also need to subtract 16 to balance things out:

[tex](x^2-8x)-10\\=(x^2-8x+16)-10-16\\[/tex]

The expression inside the parentheses is now a perfect square trinomial. Factor it:

[tex]=((x)^2-2(4)(x)+(4)^2)-26\\=(x-4)^2-26[/tex]

And we are done!

A quadratic function equation is as follows:

[tex]ax^{2} + bx + c[/tex]

To complete the square, move the constant (c) to the other side of the equation and take half of the b value, square it, and add and subtract the same number.

In this problem, you will add 16.

[tex] \frac{ - 8}{2} = - 4[/tex]

[tex] - 4^{2} = 16[/tex]

Answer:

(6,2)

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

the degree is 5

As degree means the largest exponent of a term

Answer:

Perimeter of square = 24 meter

Step-by-step explanation:

Given:

Square divided into three equal rectangle

Perimeter of rectangle = 16 meter

Find:

Perimeter of square

Computation:

We know that rectangle are equal

So,

3b = l

Perimeter of rectangle = 2 (l + b)

16 = 2 (l + b)

16 = 2 (3b + b)

b = 2 meter

l = 3 (2) = 6 meter

Side of square = 6 meter

Perimeter of square = 4(side)

Perimeter of square = 4(6)

Perimeter of square = 24 meter

Answer:

The value of x = 7

Step-by-step explanation:

To solve this, we will have to fist of all know that the sum of all the angles in a right-angled triangle is 180 degrees.

In addition to that, since the triangle is a right-angled triangle, automatically, one of the angles is = 90 degrees

The next thing to do is to add all the angles together and equate them to 180 degrees.

Angle WXZ + Angle ZXY + 90 = 180 degrees

7x+8 + 5x-2 + 90 = 180

12x + 96 = 180

12x = 84

x = 7

Answer:

27

Step-by-step explanation      divided 10 and 270

Answer:

7) 9.135x10^10

8) 3.428x10^-2

9) 2.5x10^-7

10) 4x10^10

Step-by-step explanation:

You’re only supposed to have one number to the left of the decimal point in scientific notation.

7) 9.135x10^10

8) 3.428x10^-2

9) 2.5x10^-7

10) 4x10^10

Answer: 80 items

Step-by-step explanation:

The equation x=0.7x + 24   can be rewritten as 1x = 0.7x + 24 because the is a number on in front  of any variable.  

1x = 0.7x + 24   subtract 0.7 from both sides

-0.7  -0.7

0.3x = 24

x = 80

Answer:

f ≥ -2

Step-by-step explanation:

See steps below:

Answer:

f [tex]\geq[/tex] -2

Step-by-step explanation:

5f + 3 (−8f − 9) ≤ −8f −1 −4

=5f -24f -27 ≤ -8f -1 -4

= -19f -27 ≤ -8f -5

=-11f ≤ 22

= f [tex]\geq[/tex] -2