Question 3
On problem #10, which variable will be the easiest to isolate in order to solve the system using
substitution?
A: x, in the top equation
B: y. in the top equation
C: x, in the bottom equation
D: y, in the bottom equation

Answer:

The answer is -6x + 6

Step-by-step explanation:

For us to have an infinite number of solutions, then, what we have on the right hand side will be exactly what we have on the left hand side

Since we have -6x + 6 on the left hand side

To have infinite number of solutions, what we have on the right hand side will be the same

Thus, we have -6x + 6 on the second side

Answer:

It's D

Step-by-step explanation:

I just did it on edge

Answer:

As

1/4×100 = 0.25×100

            = 25%

Thus,

1/4 = 25%

Step-by-step explanation:

Given the fraction

1/4

i.e.

1/4×100 = 0.25×100

            = 25%

Therefore, we conclude that:

1/4 = 25%

Answer:

132 m

Step-by-step explanation:

distance= speed*time

d=0.4*330

=132

The distance between the director and the drum will be; 132 m.

Speed can be calculated as the ratio of distance traveled to the time taken.

Sound is a vibrate that move through a medium that can be solid, liquid or gas in the form of mechanical wave. In short, sound is an energy made by vibration.

Noted that the intensity of the sound is decrease by the length of the travel it pass or we can say, the far the sound source from the listener, the minor the sound they can hear.

The formula of the sound in correlation with time of hear and distance is ;

time of hear = speed of sound : distance.

As per data given, time of hear = 0.40s;

speed of sound = 330 m/s.

The distance will be:

Distance= speed  x time

d = 0.4 x 330

d = 132

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Answer: No Solution

Step-by-step explanation: In picture

The given equation is 125+37.52x=y, where y is the total amount of dollars and x is the number of weeks

This equation can be re-write as y=37.52x+125

Yes, this equation is in slope-intercept form y=mx+c having a slope, m=37.52 and the intercept, c=125.

Now, check the units,

In equation y=mx+c, units of all the three terms, i.e y, mx and c, are same.

As given that unit of y is dollar, so the unit of c is dollar and unit of [tex]mx[/tex] is also dollar.

As the unit of [tex]mx[/tex] is dollar, so the unit of m is dollar/unit of x.

As given that the unit of x is week, so the unit of m is dollar/week.

Therefore, the y-intercept, c= 125 dollars, and m=37.52 dollar/week.

The unit of the slope is dollars/week, so, the slope of the equation represents the rate of change of money in the wallet per week.

From the graph of the equation, y-intercept, c=125 dollars, is the value of y at x=0 which is the initial amount of money in the wallet.

Answer:

8 cm and 28 cm

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

(i)

Here A = 48, b = AB and h = DE = 6 , then

AB × 6 = 48 ( divide both sides by 6 )

AB = 8 cm

(ii)

Here A = 252, b = PQ = 9 and h = RT , then

9 × RT = 252 ( divide both sides by 9 )

RT = 28 cm

Answer:

The solutions to the system of equations are:

[tex]x=\frac{325}{9},\:y=\frac{65}{9}[/tex]

Step-by-step explanation:

Given the system of the equations

[tex]\begin{bmatrix}2x-y=65\\ 5y=x\end{bmatrix}[/tex]

isolate 'x' for 2x-y

[tex]2x-y=65[/tex]

Add y to both sides

[tex]2x-y+y=65+y[/tex]

[tex]2x=65+y[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{65}{2}+\frac{y}{2}[/tex]

[tex]x=\frac{65+y}{2}[/tex]

[tex]\mathrm{Subsititute\:}x=\frac{65+y}{2}[/tex]

isolate 'y' for  [tex]5y=\frac{65+y}{2}[/tex]

[tex]5y=\frac{65+y}{2}[/tex]

[tex]10y=65+y[/tex]

subtract y from both sides

[tex]10y-y=65+y-y[/tex]

[tex]9y=65[/tex]

Divide both sides by 9

[tex]\frac{9y}{9}=\frac{65}{9}[/tex]

[tex]y=\frac{65}{9}[/tex]

[tex]\mathrm{For\:}x=\frac{65+y}{2}[/tex]

[tex]\mathrm{Subsititute\:}y=\frac{65}{9}[/tex]

[tex]x=\frac{65+\frac{65}{9}}{2}[/tex]

[tex]x=\frac{325}{9}[/tex]

The solutions to the system of equations are:

[tex]x=\frac{325}{9},\:y=\frac{65}{9}[/tex]

Answer:

Step-by-step explanation:

Answer:

Assuming you meant 3,648/91 it would be 40.0989

Step-by-step explanation:

However if you meant 91/3,648 your answer would be 0.0249

Answer:

130 a year, so it would be $520 interest for 4 years in the bank.

Answer:

Symmetric Property

Step-by-step explanation:

Answer:

39°

Step-by-step explanation:

Complementary angles sum up to 90°

< JKL + < RST = 90

36 + x + 15 =90

51 + x = 90

x = 39°

Answer:

$12,750

Step-by-step explanation: when you do the math you get it your welcome my G

Answer:

8/25

Step-by-step explanation:

Brainliest pls

Answer:

8/25

Step-by-step explanation:

Answer:

they are gonna go down in value

Step-by-step explanation:

Answer:

down

Step-by-step explanation:

If the value in the perenthesis is a decimal it is an exponential decay.

Answer:

C

Step-by-step explanation:

Because 24 divided by 3 = 8 and 3/8 has a denominator of 8 and you divide it by 3

could i have branliest and a heart please

Have a good day :)

Answer:

94.248 feet

1,131.0 inches

94′ 3″ feet and inches

28.727 meters

2,872.7 centimeters

Step-by-step explanation:

Answer:

200$ equals 170 euros so he will have 170 euros

Answer:

$38,465

Step-by-step explanation:

35 x 1,099 = 38,465

Question:

Use the expression to complete the statements.

[tex](0.5)^{10\\[/tex]

________ is the  power .

(0.5) is the  ________

A ______ is another way to write

Answer:

0.5 is the base

10 is the power

[tex](0.5)^{10\\ = (\frac{1}{2})^{10}[/tex] -- another way to write

Step-by-step explanation:

Given

[tex](0.5)^{10\\[/tex]

Required

Fill ion the gaps

[tex](0.5)^{10\\[/tex] is pronounced as; 0.5 raise to the power of 10

From the above statement, we can deduce the following:

0.5 is the base

10 is the power

Lastly, another way to write [tex](0.5)^{10\\[/tex]

Express 0.5 as a fraction

[tex](\frac{5}{10})^{10}[/tex]

Simplify the fraction

[tex](\frac{5/5}{10/5})^{10}[/tex]

[tex](\frac{1}{2})^{10}[/tex]

Hence:

[tex](0.5)^{10\\ = (\frac{1}{2})^{10}[/tex]

The expression is equivalent to 1

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given:

2cos²(x/2) - cos(x)

We know

cos x= 2cos²(x/2) + 1

2cos²(x/2) = cos x +1

Then,

2cos²(x/2) - cos(x)

=  cos x +1 - cos x

=1

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Answer: B.1

Step-by-step explanation:

I did it on edge

Answer:

carlos got 25 and Jonathan got 15.

Step-by-step explanation:

5+3=8 40/8=5

5×5=25. 5×3=15

Answer:

Not sure what is asking,but if it is asking for the equation. Then it is 13/3.

Step-by-step explanation:

Answer:

the function is represented by linear because the units are the same

Answer:

B. 11+11=10+12

Step-by-step explanation:

11+11 is 22

And 10+12 is 22

So the statement is true because both sides are equal