Solve the simultaneous equations by substitution
x +y=−6
x+5y =−2

Answer: $800

Step-by-step explanation:

N invests $1,000, X invests $2,000, Y invests $3,000 and Z invests $4,000. This in the ratio of 1:2:3:4.

If the profits for the first month were $2,000, the amount received by Z will be:

= 4/(1+2+3+4) × $2000

= 4/10 × $2000

= 4 × $200

= $800

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:

33

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

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.

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

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

[tex] \tt \dashrightarrow 0.75 \times 108[/tex]

[tex] \tt \dashrightarrow \dfrac{75}{100} \times 108[/tex]

[tex] \tt \dashrightarrow \cancel{\dfrac{75}{100}} \times 108[/tex]

[tex] \tt \dashrightarrow \dfrac{3}{4} \times 108[/tex]

[tex] \tt \dashrightarrow \dfrac{3}{\cancel{4}} \times \cancel{108}[/tex]

[tex] \tt \dashrightarrow 3 \times 27[/tex]

[tex] \tt \dashrightarrow 81[/tex]

Hence, answer is 81.

Answer:

(x-20)(x+3)

Step-by-step explanation:

Answer:

( x − 20)( x + 3)

Step-by-step explanation:

i did the test

Answer:

$30

Step-by-step explanation:

To find the cost, plug in 10 for x, then simplify

1.5x + 15

1.5(10) + 15

= 30

So, it will cost Johnny $30 to download 10 songs

The total amount of money that Johnny will have to pay is f(10) = 30.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Given is that it costs Johnny $15 a month plus $1.50 per song to download music. This situation is represented by the expression →

1.5(x) + 15.

The expression is given by -

f(x) = 1.5(x) + 15

where [x] is the number of songs downloaded.

For [x] = 10 songs, the total amount of money that Johnny will have to pay is -

f(10) = 1.5 x 10 + 15

f(10) = 15 + 15

f(10) = 30

Therefore, the total amount of money that Johnny will have to pay is f(10) = 30.

To solve more questions on expressions, visit the link below -

brainly.com/question/14591508

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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

Answer:

.0235294117647

Step-by-step explanation:

Answer:

0.02352941176

Step-by-step explanation:

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

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:

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

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Answer:

Is that supposed to be

7 1/2? If so, answer is 8

Step-by-step explanation:

7 1/2 + 1/2=8

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:

-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:

Less

Step-by-step it is greater by 1.01

Answer:

Less than

Step-by-step explanation:

3 itself is already less than 4. How can 3.01 be greater than 4? When comparing positive numbers, compare from left to right. If the place of the first number is larger (for example comparing 10 with 100), than the one with the larger place is greater (tenth place will always be smaller than hundreds place).

If the first digit of both numbers are the same place (for example 10 and 20), than look at the value, which one is greater? Since 2 is greater than 1, we know 20 is bigger than 10. This holds true regardless of what follows the 2 or 1. For example, 20 is still bigger than 19.987

The only exception is when we are comparing 20 and 19.999 (where 9 is repeated). I will not be proving it here, but 0.999 (9 repeated) is said to be equal to one. Which means that 20 and 19.999 (9 repeated) are equal.

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:

Step-by-step explanation:

78

Answer:

5.1* 10-¹

Hope it helps thank you

Answer:

5.1 x 10^-1

Step-by-step explanation:

Scientific notation of a number less than 1 but greater than 0 involves a negative exponent.

Since the decimal is moving left one place (from 5.1 to 0.51), the exponent will only be 1.

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:

If by the 7x2 you mean 7x² it will be

10x²-13x+2

Answer:

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

Step-by-step explanation:

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Answer:

10 cups

Step-by-step explanation:

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

Answer:

72

Step-by-step explanation:

It would take Charlie 72 minutes to run 9 laps. To solve the question find how long it takes to run 1 lap. Do this by dividing the number of minutes by the number of laps ran. For example, 16/2 equals 8, which means it took him 8 minutes to run one lap. To check you can divide the other values, like 32/4= 8 and 48/6 = 8. Then, multiply 8*9 it see how long it takes for him to run 9 laps. Therefore, the answer is 72 because 8*9=72.