Solve the system using the substitution method.
y=4
x+y=7
Demonstrate how you substituted to write an equation in one variable.

Answer:

B. 9 - i

Step-by-step explanation:

Combine the real and imaginary parts in numbers 12 - 5i and -3 + 4i

(12 + 5i) + (-3 + 4i)

12 - 3 + (-5 + 4)i

Add 12 to -3. Add -5 to 4.

9 + (-i)

9 - i

Answer:

-1

Step-by-step explanation:

(-1)^1001

= (-1)^1000 * (-1)^1

Since -1 raise to the power of an even number gives a positive value, then;

(-1)^1000 = 1

(-1)^1000 * (-1)^1 = 1 * -1

(-1)^1000 * (-1)^1 = -1

Hence (-1)^1001 = -1

Answer:

The total number of hikers are 427

Step-by-step explanation:

Let:

The number of bikers = x

The number of hikers = y

There are 178 more bikers than hikers

y = x + 178

if there are 676 people in the park total how many people are hikers?

Hence:

x + y = 676

we substitute x + 178 for y

x + x + 178 = 676

2x + 178 = 676

2x = 676 - 178

2x = 498

x = 498/2

x = 249

y =x + 178

y = 249 + 178

y = 427

Therefore:

The number of bikers = x = 249

The number of hikers = y = 427

The total number of hikers are 427

Answer:

The Right answer is ASA.

Answer:

[tex]f(1.2)=1.221[/tex]

Step-by-step explanation:

From the question we are told that

[tex]dy/dx = xy[/tex]

Initial condition[tex]f(1) = 1.[/tex]

[tex]x = 1[/tex]

[tex]Step\ Size\ of\ 0.1[/tex]

Generally equation for [tex]y_1[/tex] is given mathematically as

[tex]f_0=F(1,1)=1[/tex]

Therefore

[tex]y_1=y_0+hf_0[/tex]

[tex]y_1=y_0+(0.1)(1)[/tex]

[tex]y_1=1.1[/tex]

Generally the approximation of the solution is mathematically given by

[tex]x=1+h\\x=1+0.1\\x=1.1[/tex]

[tex]y=1.1[/tex]

Generally the [tex]f_1[/tex] is mathematically given by

[tex]F_1=f(1.1,1.1)\\F_1=1.21[/tex]

Generally the [tex]y_2[/tex] is mathematically given by

[tex]y_2=y_1+hf_1\\y_2=1.1+0.121\\y_2=1.221[/tex]

Generally the approximation to the solution

at

[tex]y_2=1.221[/tex]

[tex]x_2=1.1+0.1\\x_2=1.2[/tex]

Therefore

[tex]f(1.2)=1.221[/tex]

Answer:

i think thats an obtuse triangle

Step-by-step explanation:

Answer: its an obtuse triangle

Step-by-step explanation:

Answer:

s measures 33° and t measures 57°.

Step-by-step explanation:

Since the two angles s and t are complementary, this implies that:

[tex]m\angle s+m\angle t=90[/tex]

We are given that t is 9 less than twice s. Hence:

[tex]m\angle t=2m\angle s-9[/tex]

We can substitute this into the first equation:

[tex]m\angle s+(2m\angle s-9)=90[/tex]

Solve for s. Combine like terms:

[tex]3m\angle s-9=90[/tex]

Adding 9 to both sides yields:

[tex]3m\angle s=99[/tex]

And dividing both sides by 3 gives us that:

[tex]m\angle s=33^\circ[/tex]

Returning to our second equation, we have:

[tex]m\angle t=2m\angle s-9[/tex]

So:

[tex]m\angle t=2(33)-9=66-9=57^\circ[/tex]

So, s measures 33° and t measures 57°.

Answer:

Two complementary angles have measures of `s` and `t`.

Hence, s+t=90°

`t` is 9 less than twice `s`, t=2s-9

According to the above problem,

→s+t=90

→s+2s-9=90

→3s=99

→s=99/3

→s=33

Answer:

Step-by-step explanation:

Let s be number of students and a be number of adults.

a + s = 64 -> 5a + 5s = 320

8a + 5s = 461

(8a + 5s) - (5a + 5s) = 461 - 320

3a = 141

a = 47

a + s = 64 -> s + 47 = 64 -> s = 17

Please thank, rate 5, and give brainliest if helpful!

Answer:

a + s = 64 -> 5a + 5s = 320

8a + 5s = 461

(8a + 5s) - (5a + 5s) = 461 - 320

3a = 141

a = 47

a + s = 64 -> s + 47 = 64 -> s = 17

give brainliest if helpful!

Answer:

Are this form 1 question

Answer:

V= a³

V=(6x²y⁵)³

V= 216x⁶y¹⁵

Step-by-step explanation:

Answer:

1 : 0.75

Step-by-step explanation:

Given the ratio

20 : 15 ← divide both parts by 20

[tex]\frac{20}{20}[/tex] : [tex]\frac{15}{20}[/tex]

= 1 : 0.75

Answer:

n=0.75

Step-by-step explanation:

Answer:

u = 4

Step-by-step explanation:

2u = 8

u= 8/2

u= 4

therefore u = 4

Answer:

a = 10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

8 = a - 2

Step 2: Solve for a

Step 3: Check

Plug in a into the original equation to verify it's a solution.

Here we see that 8 does indeed equal 8.

∴ a = 10 is the solution to the equation.

Answer: 4.00%

Step-by-step explanation:

Before Tax Price: $360.00

Sale Tax: 4.00% or $14.40

After Tax Price: $374.40

Answer:

4% sales tax or 360 times 0.04 is 14.40 as tax.

Step-by-step explanation:

Hope this helps! :)

Answer:

y = 2x-2

Step-by-step explanation:

Generally, we have the equation of a straight line as;

y = mx + b

where m is the slope and b is the y-intercept

For the second equation, we can see that the y-intercept value is -2

So using the slope 2, we write the complete equation as;

y = 2x - 2

Answer:

the answer is C <3

Step-by-step explanation:

In this Problem you can use the Cross Multiplication.

If in 15 seconds the nurse counted 18 beats, so in 60 seconds she will count x beats.

15 seconds = 18 beats

60 seconds = x beats

You use the cross multiplication and multiply 60 by 18 and 15 by x, so you get:

15x = 60 * 18

15x = 1080

Then, you divide 15x and 1080 by 15 each, so you get:

x = 72

So, the Nurse counted 72 beats in 60 seconds

Yourwelcome :)

Answer: 72 bmp

Step-by-step explanation: multiply by 4 because 15 goes into 60 4 times

Answer:

57.5

Step-by-step explanation:

That's the answer I think because very limited information so I just divide 115 by 2

Answer:

{55,60}

Step-by-step explanation:

{x,y} = {55,60}

Answer:

x= -8

y=7

Step-by-step explanation:

make it so the x's cancel out

to do this multiply the bottom equation by 2

2x+3y=5

2x+4y=12

subtract to cancel out the x

-y=-7

y=7

now substitute y into one of the equations(I'm going to do x+2y=6)

x+2(7)=6

x+14=6

x=-8

Answer:

$3

Step-by-step explanation:

Answer:

y=22-1

Step-by-step explanation:

ewaan di ako sure

Answer:

The answer is 5 + 3x  ≤ 50

Step-by-step explanation:

5 + 3x ≤ 50 - 5

3x ≤ 45

 Divide by 3,  x = 15

Answer:

$12

Step-by-step explanation:

amount spent for 8 movie tickets is equal to 118 - 22 = 96

divide 96 by 8 to get per movie ticket cost of $12

Answer:

for part A the answer is B and for part B I think the answer is B too.