A student collects post cards from around the world. She has 150 post cards. Of these post cards, 42% are from Africa, 20% are from Europe, 10% are
from Asia, and the rest are from South America. How many post cards are from South America?

Answer:

x = -0.8

<CAD = -8

Step-by-step explanation:

10x + 4 = 5x - 4 (Clean up)

10x = -8 (Divide each side by 10)

x = -0.8

<CAD = 5x - 4

<CAD = 5(-0.8) - 4

<CAD = -4 - 4

<CAD = -8

Answer: 1/8 pounds of roasted almonds

Step-by-step explanation:

There are six friends and each of them are to receive and equal piece out of a 3/4 pound of roasted almonds.

The almonds each friend will get will therefore be the 3/4 pack divided by 6:

= 3/4 ÷ 6

= 3/4 * 1/6

= 3/24

= 1/8 pounds of roasted almonds

When dividing by a number, you can instead multiply by the inverse of that number.

Answer:

Step-by-step explanation:

   x | y

   2 | 10

   15| 15

21.5 | 17.5

Answer:

10 cups

Step-by-step explanation:

4x2=8. 8+ the 2 cups in the beginning would be 10 cups.

Answer:

i dunno man like 20x2853-3835734= close to 1 ish maybe

Step-by-step explanation:

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gIB BRAIN SMARTER

Answer: The perimeter is 9.31km

Step-by-step explanation:

We have two triangle rectangles, and the perimeter of the complete triangle will be equal to the sum between the hypotenuses (of both triangles) and the bottom cathetus (of both triangles)

For a triangle rectangle and a given angle A (that is not the right angle)

Remember the relationships:

Sin(A) = (opposite cathetus)/(hypotenuse)

Cos(A) = (adjacent cathetus)/(hypotenuse)

Tan(A) = (opposite cathetus)/(adjacent cathetus)

With this, we can find the measures of each triangle in the imae.

The left triangle rectangle.

We have a cathetus (opposite) with length of 2.5km and A = 51.8°

Then the hypotenuse can be found by:

Sin(51.8°) = (2.5km)/(hypotenuse)

then:

hypotenuse = (2.5km)/sin(51.8°) = 3.18 km

And the bottom cathetus can be found with:

Tan(51.8°) = (2.5km)/(adjacent cathetus)

adjacent cathetus =  (2.5km)/(Tan(51.8°)) = 1.98 km

For the other triangle, we have A = 62.1°, and the opposite cathetus is 2.5 km

We can use the same relationships than before:

Sin(62.1°) = (2.5km)/(hypotenuse)

then:

hypotenuse = (2.5km)/sin(62.1°) = 2.83 km

And the bottom cathetus can be found with:

Tan(62.1°) = (2.5km)/(adjacent cathetus)

adjacent cathetus =  (2.5km)/(Tan(62.1°)) = 1.32 km

Then the perimeter of the complete triangle is:

Perimeter = 3.18 km + 1.98 km + 2.83km + 1.32 km = 9.31 km

That's a question about percentage.

One way to represent percentage is using decimal number. In this way, 1 is equivalent to 100% and the other less percentages using numbers between 0 and 1.

Examples:

If we want to know the percentage of a number, we should multiplacate the number by the porcentage in the decimal number form.

Examples:

In our problem, we have a phone with a increase of 7%. To solve that, it's important to perceive that $230 is equal to 100% and with a increase of 7%, we will pay 107%.

107% in the decimal number form is 1.07. With that information, we should multiplicate 1.07 by the original value and we will find the answer.

We know that [tex]230\times 1.07 = 246.1[/tex], therefore, the total cost of the phone after tax is $246.1.

I hope I've helped. :D

Enjoy your studies. \o/

Answer

x=7

Step-by-step explanation:

I honestly forgot how to explain but my logic is that 43+137+137+43=360

so, x would equal 7

the common denominator of 5/6 and 7/8 is 24, so multiply both sides of the equation (every term) by 24:

24(5/6)x + 24(2) = 24(7/8)

the denominators will cancel out so you have:

4(5x) + 48 = 3(7)

do the multiplication:

20x + 48 = 21

fractions have been eliminated, and if you want to continue to solve:

20x = -27

x = -27/20

Respuesta. La probabilidad de sacar um 3 seria de 16.66% osea un sexto ,de sacar un numero par es de tres sexto osea del 50% y de sacar un numero impar es de tres sexto osea 50% igual ke los pares y de sacar un numero menor k 7 es de 6 sobre 6 osea 100%.

El valor uno corresponde al suceso seguro: lanzamos un dado al aire y la probabilidad de que salga cualquier número del 1 al 6 es igual a uno (100%). El resto de sucesos tendrá probabilidades entre cero y uno: que será tanto mayor cuanto más probable sea que dicho suceso tenga lugar.

Given:

The equation of line is

[tex]4x+3y=12[/tex]

To find:

The points on y-axis which are at a distance of 4 units from the given line.

Solution:

The point lie on the y-axis. So, their x-coordinate must be zero.

Let the points are in the form of (0,k).

The distance between a point [tex](x_0,y_0)[/tex] and a line [tex]ax+by+c=0[/tex] is

[tex]d=\dfrac{|ax_0+by_0+c|}{\sqrt{a^2+b^2}}[/tex]

The given equation can be written as

[tex]4x+3y-12=0[/tex]

The distance between (0,k) and [tex]4x+3y-12=0[/tex] is 4 units.

[tex]4=\dfrac{|4(0)+3(k)-12|}{\sqrt{4^2+3^2}}[/tex]

[tex]4=\dfrac{|0+3k-12|}{\sqrt{16+9}}[/tex]

[tex]4=\dfrac{|3k-12|}{\sqrt{25}}[/tex]

[tex]4=\dfrac{|3k-12|}{5}[/tex]

Multiply both sides by 5.

[tex]20=|3k-12|[/tex]

[tex]\pm 20=3k-12[/tex]

[tex]12\pm 20=3k[/tex]

[tex]\dfrac{12\pm 20}{3}=k[/tex]

Now,

[tex]k=\dfrac{12-20}{3}\text{ and }k=\dfrac{12+20}{3}[/tex]

[tex]k=\dfrac{-8}{3}\text{ and }k=\dfrac{32}{3}[/tex]

Therefore, the two points are [tex]\left(0,\dfrac{-8}{3}\right)\text{ and }\left(0,\dfrac{32}{3}\right)[/tex].

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

x+16=−18

Step 1: Subtract 16 from both sides.

x+16−16=−18−16

x=−34

Answer:

x=−34

Answer:

x = 9

Step-by-step explanation:

A line with an undefined slope will be a vertical line.

This means the equation of the line will be in x = form, because the line will only go through one x value.

Since the given point has the x value of 9, this means the line will only go through that value.

So, the equation of the line will be x = 9

Answer:

4/12

Step-by-step explanation:

Answer:

$11

Step-by-step explanation:

44/4 = 11

Answer:

11 was earned per hour

Step-by-step explanation:

44 divided by 4 is 11

Answer:

(x-20)(x+3)

Step-by-step explanation:

Answer:

( x − 20)( x + 3)

Step-by-step explanation:

i did the test

Answer:

.0235294117647

Step-by-step explanation:

Answer:

0.02352941176

Step-by-step explanation:

Given:

Joe has $173 in the bank.

He puts 7 weeks earning in the banks.

Now joe has $208 in the bank.

To find:

How much money does joe earn each week?

Solution:

Let x be the same amount of money each week for 7 weeks and puts this money in the bank.

Total earning in 7 weeks = 7x

Total amount of money in bank = Initial amount + 7 Weeks earning

[tex]208=173+7x[/tex]

[tex]208-173=7x[/tex]

[tex]35=7x[/tex]

Divide both sides by 7.

[tex]\dfrac{35}{7}=x[/tex]

[tex]5=x[/tex]

Therefore, joe earns $4 each week.

Answer:

7 because 7x = 49 is 7 because 7 goes to itself 1 and to 49 7

Answer;;;;

explained

Answer:

x=−5

Step-by-step explanation:

−3x+5=20

Step 1: Subtract 5 from both sides.

−3x+5−5=20−5

−3x=15

Step 2: Divide both sides by -3.

−3x/-3 = 15/-3

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{-3x + 5 = 20}\\\large\text{SUBTRACT by 5 to BOTH SIDES}}\\\large\text{-3x + 5 - 5 = 20 - 5}\\\large\text{Cancel out: 5 - 5 because that gives you 0}\\\large\text{Keep: 20 - 5 because it gives you 15 and it helps us solve for x}\\\large\text{20 - 5 = 15}\\\large\text{New equation: -3x = 15}\\\large\text{DIVIDE by -3 to BOTH SIDES}[/tex]

[tex]\bold{\dfrac{-3}{-3}=\dfrac{15}{-3}}\\\\\bold{Cancel\ out: \dfrac{-3}{-3}\ because\ it\ gives\ you\ 1}\\\\\bold{Keep: \dfrac{15}{-3}\ because\ it\ gives\ you\ x}[/tex]

[tex]\bold{x = \dfrac{15}{-3}}[/tex]

[tex]\boxed{\boxed{\bold{Answer: x = -5}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

-4x-18

Step-by-step explanation:

pickle

Answer: -4x-18

Step-by-step explanation:

8x-16-12x-2=8x+-16+-12x+-2

Then you combine like terms.

8x+-16+-12x+-2= (8x+-12x)+(-6+-2)

Your answer will be -4x-18

I hope this helps

Answer:

f(x)=-5sin (1/3x)-2

Step-by-step explanation:

The formula of the function, where x is entered in radians is f(x) =  [tex]5sin(\frac{\pi x}{2})-2[/tex]

A sine wave, sinusoidal wave, or just sinusoid is a mathematical curve defined in terms of the sine trigonometric function

Given,

Midline is at (0,-2)

minimum point at [tex](\frac{3\pi }{2},-7)[/tex]

Therefore, the function is line with amplitude = -2-(-7)=5

No phase shift as intersection at 0.

Vertical shift is -2

Then,

f(x) = [tex]5sin(\frac{\pi x}{2})-2[/tex]

Hence, The formula of the function, where x is entered in radians is f(x) = [tex]5sin(\frac{\pi x}{2})-2[/tex]

Learn more about Sinusoidal function here

https://brainly.com/question/12060967

#SPJ2

Answer:

the lengths of sides are 8 and 6.

Step-by-step explanation:

Let us denote side lengths of the parallelogram as x and y.  

Then first condition can be written as x/y=3/4.

Second condition can be written as 2x+2y=28.

We can multiply both sides of the first equation by y and get x=(3y)/4.

Now we have x expressed in terms of y. It is convenient because we can substitute x in the second equation:

2(3y/4)+2y=28  

And we can solve it for y.

1.5y+2y=28

3.5y=28

y=8

What is left is to find x. We may use the expression for x again: x=(3*8)/4=6

Ans: the lengths of sides are 8 and 6.

Answer:

If by the 7x2 you mean 7x² it will be

10x²-13x+2

Tax= $ 7,173.5

Her taxable income is $ 43,000 which lies in the tax category $ 31,850 to

$ 77,100.

Tax for $ 31,850 is $ 4,386

Plus 25% of the amount = ( $ 43,000- $ 31,850 )= $ 11,150 over

25 % of $ 11,150= $ 2,787.5

Total Tax= $ 4386 + $ 2787.5= $ 7,173.5