Four times a number, minus 8, is equal to three times the number plus 4

Step-by-step explanation:

7/10 in percentage form is 70%

70/100 in percentage form is 70%

Simple as that

It is proved that the given decimals are equivalent decimals.

Given are the fractions -

7/10 and 70/100

We have the following fractions -

A = (7/10) = 0.7

B = 70/100 = (7 x 10)/(10 x 10) = (7/10)

B = (7/10) = 0.7

It can be seen that fraction A equals to B.

Therefore, it is proved that the given decimals are equivalent decimals.

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Answer:

(-6, -6)

Step-by-step explanation:

Find the coordinates of the point where the lines with equations y=x and y=-6 intersect.

The lines intersect at y = y

Equating the right hand side of both expressions we have;

x  = -6

Since y = x, hence y = -6

The required coordinate where they intersect is at (-6, -6)

For each t-shirt sold, which I'll call t, 8th grade makes $15.

For each hat sold, which I'll call h, 8th grades makes $5.

They want to raise $900

A: The equation to represent this situation is 15t+5h=900 because if 8th grade adds up all the profits from both hats and t-shirts, the goal is to make $900, so the total profit from shirts and hats should equal 900 dollars.

B: I'm just going to choose random numbers. Let's say nobody wanted to buy a hat from the 8th graders (h=0). You'd end up with

15t+5(0)=900

15t=900

t=60 - If they sold 0 hats they would have sold 60 shirts to raise $900

Now let's say it was the other way around - nobody wanted to buy t-shirts

15(0)=5h=900

5h=900

h=180 - If they sold 0 t-shirts they'd have to sell 180 hats to raise $900

Finally let's say they sold 30 t-shirts

15(30)+5h=900

450+5h=900

5h=450

h=90 - They'd have to sell 30 t-shirts and 90 hats to raise $900

Answer:

a) 1/9

b)1/64

c)1/16

Step-by-step explanation:

Answer:

Maximum rate change |[tex]\nabla[/tex]f| = √65

Direction = ( 1, 8 ) / √65

i.e Maximum rate change is √65 and it occurs in a direction of ( 1, 8 )

Step-by-step explanation:

Given that;

f(x, y) = 4y √x, (4, 1)

{ x=4 and y=1 }

Maximum rate of change occurs with the gradient vector;

[tex]\nabla[/tex]f = [ df/dx, df/dy ] = [ 2y/√x, 4√x ]

we substitute in our value of x and y

[tex]\nabla[/tex]f =  2(1)/√4, 4√4

[tex]\nabla[/tex]f = 2/√4, 4√4

[tex]\nabla[/tex]f = ( 1, 8 )

Maximum rate change |[tex]\nabla[/tex]f| = | ( 1, 8 ) | = √( 1² + 8² ) = √(1 + 64)

Maximum rate change |[tex]\nabla[/tex]f| = √65

Direction = [tex]\nabla[/tex]f / |[tex]\nabla[/tex]f|

we substitute

Direction = ( 1, 8 ) / √65

i.e Maximum rate change is √65 and it occurs in a direction of ( 1, 8 )

Answer:

3^3

Step-by-step explanation:

[27]^2/3 can also be written as,

[(3)^3]^2/3

Now we know that a^m * a^n = a^m+n, therfore,

[3]^ 3*2/3

Cut 3 and 3

Therefore, you get 3^3

Let me know if you understood. If you didnt I can try to explain it to you in another way.

Also, plz mark me as the brainliest!

Answer:

x=9, -9

Step-by-step explanation:

Use difference of squares to the denominator.

so

[tex]\frac{x^2+4x+3}{(x+9)(x-9)}[/tex]

If you plug 9 or -9 for x, the denominator becomes 0, meaning that the value would be undefined. Thus, if would not be in the domain of g.

So, x=9, -9

Answer:

1/6

Step-by-step explanation:

The die is rolled once, so it is 1 out of the total number on the die ie 6, as a die has only faces or sides so its obvious out of these 6 faces only one will show.

Answer:

0.16 I think............

Answer:

0.16666666666

Step-by-step explanation:

A watch seller gained 20% by selling a watch for 1260.If he had to gain 30%,at what price should have he sold it?

Dalton III

Answered December 12, 2020

I shall explain the solution to this problem using rudimentary concepts.

First, we need to determine the original price of the watch.

Convert the percentage profit to a decimal by dividing by 100. In this problem, the profit is 20%, so we would divide:

20100=0.2

Add 1 to the profit expressed as a decimal.

1+0.2=1.2

Divide the price after the profit has been added by the figure which we have calculated to find the price before the profit (we shall assume that the currency used in this problem is the pound sterling)

£12601.2=£1050

Now that we have determined the original price of the watch, we shall determine at what price should the seller sell this watch in order to obtain a 30% gain. The same formula is used for the first two steps.

Convert the intended percentage profit to a decimal by dividing by 100. In this problem, the intended profit is 30%, so we would divide:

30100=0.3

Add 1 to the intended profit expressed as a decimal.

1+0.3=1.3

Now, instead of dividing, we would want to multiply the original price with the figure 1.3

£1050⋅1.3=£1365

So, in order to gain a profit of 30%, the watch seller should sell the watch at a price of £1365

Answer:

15°

Step-by-step explanation:

2x+5=3x

5=3x-2x

5=x

Now we can solve the angle.

<BAD=2x+5 = 2(5)+5 = 10+5 = 15°

Answer:

$123.66

Step-by-step explanation:

53 divided by 3 is 17.66, which is how much one ticket will cost. 17.66 multiplied by 7 is 123.66

Answer:

R11 303

Step :

Find 11% of R12 700

R12 700 × 11/100

=R1 397

then substract the 11% from R12 700

R12 700 - R1 397

=R11 303

Answer:

W + 5

Step-by-step explanation:

Given a number, W

An increase in W by a constant 5 ; can be expressed as ;

W plus the constant value increase

Hence,

Increase in W by 5 equals ;

W + 5

Answer:

8,978 People

Step-by-step explanation:

13,400 x 0.33 = 4,422

13,400 - 4,422 = 8,978

Answer:

D) 36 cm^2

Step-by-step explanation:

(9 x 3) + (2 x 4.5)(2)(0.5) = 36 cm^2

Answer:

2.7

Step-by-step explanation:

322/7=46

46*125=2.71739

round off

2.7

The sum of the measures of the interior angles of a 20-sided figure is 3240.

What are Interior angles ?

An interior angle of a polygon is an angle that is created between two of the polygon's adjacent sides. The interior angle of a polygon is also known as the angle measured at the interior of a polygon.

the number of sides of given polygon is 20.

we know that, sum of the measures of the interior angles can be found by using formula : (n-2) × 180

where n= no. of sides of given polygon

So, sum of the measures of the interior angles of 20 sided figure :

     = (n-2) × 180

     = (20-2) × 180

     = 18 × 180

     = 3240 .

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Answer:

x=27

Step-by-step explanation:

It’s a ratio:

9.9/11=x/30

cross multiply

11x=297

x=27

Answer:

B

Step-by-step explanation:

Answer:

40 ounces

Step-by-step explanation:

well if every peach weighs 5 ounces and she buys 8, just do 8 x 5 and you get 40

Answer:

[tex]M = 1.75[/tex] --- Movies

[tex]V = 5.5[/tex] --- Video games

Step-by-step explanation:

Represent the movies with M and the video games with V.

The first month, the expression is:

[tex]2M + 3V = 20[/tex]

The next month, the expression is:

[tex]6M + 5V = 38[/tex]

Required

Find M and V

We have:

[tex]2M + 3V = 20[/tex] --- (1)

[tex]6M + 5V = 38[/tex] --- (2)

Multiply (1) by 3.

3 * [tex]2M + 3V = 20[/tex]

[tex]6M + 9V = 60[/tex] --- (3)

Subtract (1) from (3)

[tex]6M + 9V = 60[/tex]

- [tex]6M + 5V = 38[/tex]

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

[tex]6M - 6M + 9V - 5V = 60 -38[/tex]

[tex]4V = 22[/tex]

Divide by 4

[tex]V = 5.5[/tex]

Substitute 5.5 for V in (1)

[tex]2M + 3V = 20[/tex]

[tex]2M + 3 * 5,5 = 20[/tex]

[tex]2M + 16.5= 20[/tex]

Subtract 16.5 from both sides

[tex]2M = 3.5[/tex]

Divide by 2

[tex]M = 1.75[/tex]

Answer:

4x^2 - 4x + 1

Step-by-step explanation:

Answer:  There are  12 months in one 1 year

Step-by-step explanation:

Answer:

unknown value = 800

Step-by-step explanation:

f(x) = 1333/100·x + 1/5

so if x = 60 - > (1333/100)60+1/5 = 800

Answer: 800

Step-by-step explanation: 933.3-133.3=800-133.3=666.7-133.3=533.4