Twice the sum of a number, n, and seven is four less than the quotient of a number, n, and three.

Answer:

60 kilograms of the 30% solution

140 kilograms of the 40% solution

Step-by-step explanation:

Let x = the no. of kilos containing 30% salt (solution 1)

and 200 - x = the no. of kilos containging 40% salt solution 2)

.30x = amount of salt in solution 1

.40(200 - x) = amount of salt in solution 2

.37(200) = amount of salt in the final mixture

salt in solution 1 + salt in solution 2 = salt in final mix.

.30x + .40(200 - x) = .37(200)  

Let's multiply thru the equation by 100 to remove the decimal fractions

30x + 40(200 - x) = 37(200)

30x + 8000 - 40x = 7400

-10x = -600

x = 60 kilograms of the 30% solution

200 - 60 = 140 kilograms of the 40% solution

Answer:

C

Step-by-step explanation:

you need to start by plugging in -2x+4 every were it says y then solve for x when you have found x plug it into one of the equations and solve for y

Answer:

The equation you would use is лr² (pi times radius squared).

The area of the stage would be 1963.5 square meters or 625л square meters

Answer:

The goal post is 40.05 feet tall.

Step-by-step explanation:First, you need to decide whether to use sin, tan or cos.

You have the angle, the adjacent and need the opposite , so you need to find out which one has all three values in

Sin  

Cos  

Tan  

So you need to use tan.

Tan = opposite / adjacent, so rearrange the formula to make opposite the subject:

[tex]Opp = Tan * adj

So simply plug these values in:

[tex]Opp =131 * tan(17) = 40.05

So the goal post is 40.05 feet tall

Answer:

It should be [tex]15*10^{4}[/tex].

Step-by-step explanation:

[tex]300=3*10^{2}\\500=5*10^{2}\\\\300*500=(3*10^{2})*(5*10^{2})=(3*5)*10^{(2+2)}=15*10^{4}=1.5*10^{5}[/tex]

Answer: 1.5 x 10^5

Step-by-step explanation:

The first step is to re-arrange the factors like this :

5 x 3 x 10^2 x 10^2

Since

5 x 3 = 15

and the index law

10^a x 10^b = 10^a + ^b

gives us

10^2 x 10^2 = 10^2 + ^2 = 10^4

then we can rewrite the product like this :

5 x 3 x 10^2 x 10^2 = 15 x 10^4

Finally, we need to convert this into scientific notation :

15 x 10^4 = 1.5 x 10^5  

So the final answer is

1.5 x 10^5

Answer:

Infinite solutions

Step-by-step explanation:

-(-x + 1) = x - 1

x - 1 = x - 1

Answer:

1. The applicable theorem is the midsegment theorem

y = 5 cm

Step-by-step explanation:

The given quadrilateral MATH is an isosceles trapezoid,

The bases of the isosceles trapezoid are

b₁ = [tex]\overline{MA}[/tex] and b₂ = [tex]\overline{HT}[/tex]

The median of the isosceles trapezoid = [tex]\overline{LV}[/tex]

MA = 3·y - 2

HT = 2·y + 4

LV = 8.5 cm

The midsegment theorem states that the median of a trapezoid is parallel to the bases of the trapezoid and is equal to half the length of the sum of the bases of the trapezoid

The median of a trapezoid = (1/2)×(b₁ + b₂)

Therefore, we have;

The median of the isosceles trapezoid, LV, given as follows;

LV = 8.5 = (1/2)×((3·y - 2) + (2·y + 4))

LV = 8.5 = (1/2)×(5·y + 2) =

2 × 8.5 = (5·y + 2)

17 = 5·y + 2

∴ 5·y = 17 - 2 = 15

y = 15/3 = 5

y = 5 cm

Answer:

9:15 or 3:5

Step-by-step explanation:

A ratio can compare a part of a whole to a whole.

In this case, our whole is the total number of shots attempted: 15.

The basketball player successfully made 9 of the attempts. 9 is our other number in this ratio.

Put these values in a ration.

part:whole

9:15

Notice that 9 and 15 can be simplified by dividing both numbers by 3.

3:5

This is your simplified ratio.

Hope this helps!

Answer:

I dont see the numbers sorrry

Answer:

50,000 Square Miles.

Step-by-step explanation:

30% = 1/3

30,000/1 * 1/3 = 10,000

10,000 * 5 = 50,000

If this question helped pls give me brainliest :) have fun

Answer:

Um i think 0.25

Step-by-step explanation:

Im sorry there is a 80% chance im wrong (im only in 6th)

Answer:

neptune = 6m+2

Step-by-step explanation:

mars has 'm' moons

pluto has one more than twice that of mars, = 2m+1

neptune is one less than thrice of pluto

= 3(2m+1) -1

= 6m+3 -1

= 6m+2

Step-by-step explanation:

if you are writing it in an expression then

let raju's age be = x

let daughter be = y

x = 2 (5 × y)

x = 2 (5y)

x = 10y

so if daughter is 2 years old, then

x = 10(2)

x = 20 years

Answer:

ok

Step-by-step explanation:

Answer:

1)4.59 *10^7

2)2.56 *10 ^13

3)3.892 *10 ^10

4)5.03 *10 ^11

Answer:

4 1/2 tiles are needed to cover this area

Step-by-step explanation:

Mathematically, the area of a parallelogram is the product of the base and the height

We have this as;

24 * 10 = 240 cm^2

So the area of a tile is this

The number of tiles that will cover the given area will be;

1080/240 = 4.5 tiles

Answer:

so my calculations show that (12.1 / 9.8) - 1 =~ 0.2346938775510204081632653061224 that is about a percentage of 23.469% thank you for asking that question, oh and this answer is also on yahoo

Step-by-step explanation:

Answer: left a units, down b units

Step-by-step explanation:

The phrase which describe g(x) for parents function p(x) is:

" Graph shifts a units in negative x direction and b units in negative y direction"

The shifted origin has the coordinates (h, k). That is, the shifted X and Y axes are at distances h and k from the original X and Y axes respectively.

Here, general equation

y = cos ( x - h ) + k

where, h and k are points which shows the shifting of function on x and y axes.

On comparing general equation with given equation g(x)

so we get h = -a and k = -b.

Thus, the phrase which describe g(x) for parents function p(x) is:

" Graph shifts a units in negative x direction and b units in negative y direction".

Learn more about Shifting of origin from:

https://brainly.com/question/8829300

#SPJ2

Answer:

-8a - 6b

Step-by-step explanation:

6a - 13b - 14a + 7b =

6a-14a = -8a

-13b + 7b = -6b

-8a - 6b

FBG= 10*

ABC= 180*

Now I will uhhhhhhhhhhhhhhhhhhhhhhhhhhhh yeah

9514 1404 393

Answer:

  (2x +1)/(4x^2) . . . . except x=0, -1

Step-by-step explanation:

Addition of fractions works in the usual way:

  a/b +c/d = (ad +bc)/(bd)

Division of fractions works in the usual way:

  (a/b)/(c/d) = (ad)/(bc)

__

  [tex]\dfrac{\left(\dfrac{1}{2x}+\dfrac{1}{2x+2}\right)}{\left(\dfrac{2x}{x+1}\right)}=\dfrac{1}{2}\cdot\dfrac{\left(\dfrac{1}{x}+\dfrac{1}{x+1}\right)}{\left(\dfrac{2x}{x+1}\right)}=\dfrac{1}{2}\cdot\dfrac{\left(\dfrac{2x+1}{x(x+1)}\right)}{\left(\dfrac{2x^2}{x(x+1)}\right)}\\\\=\boxed{\dfrac{2x+1}{4x^2}}[/tex]

The expression is undefined for any denominator equal to zero: x=0 or x=-1.

Step-by-step explanation:

Multiply: 6 (children) • 2.15 (cost per ticket) = 12.90

Add: 12.90 + 4.90 = £17.80

Answer:

Step-by-step explanation:

Area = (2x+5)( 3x+12) square units

= 6x² + 39x + 60 square units

Trinomial

Answer:

y = 42x + 2

Step-by-step explanation:

yeah...

https://pad let.com/lil_g/ha7w6l19bzmv3cd0

Answer:

82

Step-by-step explanation:

It is lets then 90 but not by much

Answer:

Step-by-step explanation:

8=2^3 so

(2^3)^(1/3)

2^(3(1/3))

2^1

2