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Answer:

150/2= 75 miles. (I did this to find the unit rate, how many miles per inch)

one inch represents 75 miles

Answer:

The Distributive Property.

Step-by-step explanation:

4(x - 1) = 12

When distributing out the 4, it must go to all the terms within the brackets like this:

4x - 4 = 12.

4x = 16

x = 4.

Answer:

false

Step-by-step explanation:

Answer:

Step-by-step explanation:

A rhombus is an isosceles trapezoid.

Answer:

An equation of the line passing through (-2, 3) and perpendicular to the line 5x - y = 12 will be:

Step-by-step explanation:

Given the equation

[tex]5x - y = 12[/tex]

converting the line into the slope-intercept form y = mx+b, where m is the slope

[tex]-y = 12-5x[/tex]

[tex]y = 5x-12[/tex]

The slope of the line = m = 5

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

Therefore, the slope of new line = – 1/m = -1/5 = -1/5

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the slope of new line = -1/5 and (-2, 3)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-3=-\frac{1}{5}\left(x-\left(-2\right)\right)[/tex]

[tex]y-3=-\frac{1}{5}\left(x+2\right)[/tex]

Add 3 to both sides

[tex]y-3+3=-\frac{1}{5}\left(x+2\right)+3[/tex]

[tex]y=-\frac{1}{5}x+\frac{13}{5}[/tex]

Therefore, an equation of the line passing through (-2, 3) and perpendicular to the line 5x - y = 12 will be:

Answer:

The solution is n=1

Step-by-step explanation:

I hope you mean

4/5n-3/5=1/5n

if so then here's the solution

5n×4/5n-3/5×5n=1/5n×5n

4-3n=1

4-1=3n

3n=3

n=1

Answer:

18

Step-by-step explanation:

Answer: d. 5(p + 1.5) = 12

Step-by-step explanation:

Viktor plays baseball for 1.5 hours per day. In 5 days therefore he would have played:

= 1.5 * 5 days

He also plays piano for p hours each day. In 5 days he would have played:

= 5 * p days of piano

If both of these combined is 12, the expression would be:

(1.5 * 5) + (5 * p) = 12

Factoring them using 5:

5 * (1.5 + p) = 12

5(1.5 + p) = 12

Answer:

[tex]x^{2} +y^{2} = 45[/tex]

Step-by-step explanation:

General Equation of circle is

[tex](x-x_1)^{2} +(y-y_1)^{2} = r^{2}[/tex]----------- (1)

Here

[tex](x_1, y_1)= (0, 0)[/tex]

Radius r is distance from origin (x1, y1) to point (x2, y2)=(-3, -6)

[tex]r=\sqrt{(x_2-x_1)^{2} + (y_2-y_1)^{2} }[/tex]

[tex]r= \sqrt{(-3-0)^{2} + (-6-0)^{2} }[/tex]

[tex]r= \sqrt{9+36}[/tex]

[tex]r=\sqrt{45}[/tex]

Substituting values in equation (1)

[tex](x-0)^{2} +(y-0)^{2} =( \sqrt{45})^{2}[/tex]

[tex]x^{2} +y^{2} = 45[/tex]

Answer:

y= -4x+3

Hope this helps!!

Answer:

I'm sorry!

Step-by-step explanation:

Answer:

-2x² + 10x - 12

Step-by-step explanation:

Given the expression 2(5x+3)−2(x^2 −3) ​

Expand

2(5x+3)−2(x^2 −3) ​

= 2(5x)+2(3) -2(x²)-2(-3)

=  10x + 6 - 2x²+6

= 10x -2x²+12

Express in standard form

= -2x² + 10x - 12

Answer:

It will take Greg 8 weeks to save up to buy the phone.

Step-by-step explanation:

Given equation is:

M = 90 + 15w

Here,

M represents the money saved

w represents the number of weeks

Greg wants to save 210

Putting M = 210 in the given equation;

210 = 90 + 15w

210 - 90 = 15w

15w = 120

Dividing both sides by 15

[tex]\frac{15w}{15}=\frac{120}{15}\\w = 8[/tex]

Hence,

It will take Greg 8 weeks to save up to buy the phone.

Answer:

um15

Step-by-step explanation:

when it add and subtract is 15

Answer:

0.45

hope this helps!!:)

Step-by-step explanation:

Answer:

x ≤ −7

Step-by-step explanation:

got it correct the person above me is correct

Answer:

1,015 m

Step-by-step explanation:

The maximum height is obtained at the value of t when dh(t)/dt = 0. So, differentiating h(t) with respect to t, we have

h(t) = -4.9t² + 140t + 15

d[h(t)]/dt = d[-4.9t² + 140t + 15]/dt

d[h(t)]/dt = -9.8t + 140

equating d[h(t)]/dt = 0, we have

-9.8t + 140 = 0

-9.8t = -140

t = -140/-9.8

t = 14.29 s

So, substituting t = 14.29 into h(t), we have

h(t) = -4.9t² + 140t + 15

h(14.29) = -4.9(14.29)² + 140(14.29) + 15

= -1000.6 + 2000.6 + 15

= 1000 + 15

= 1,015 m

Answer:

Coordinates of X is (7/2,9/2)

Coordinates of C is (6,7)

Explanation:

x is the midpint of DB and AC

coordinates of X = ( (5+2)/2 ,(6+3)/2)

= (7/2,9/2)

Coordinates of X is (7/2,9/2)

Let (a,b) be the coordinates of C.

Then,

coordinates of x = ((a+1)/2, (b+2)/2)

(7/2,9/2) = ((a+1)/2, (b+2)/2)

Hence,

7/2=(a+1)/2

7=a+1

a = 6

9/2 =(b+2)/2

9 =b+2

b =7

Coordinates of C is (6,7)

Answer:

D. 4

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just don’t want to waste my time in case you don’t want me to :)

Answer:

5/6

Step-by-step explanation:

Perpendicular lines just have the opposite slope.

Answer:

a) Interest = $980

b) Principal = $7250

c) Interest rate = 3%

Step-by-step explanation:

a) For Alex

How much interest (in dollars) will Alex receive after 2 years if he deposited $14,000 in the bank at 3.5% annual interest rate?

The formula for Simple Interest = PRT

Where

P = Principal = $14,000

R = Interest rate = 3.5% = 0.035

T = Time = 2 years

I = $14,000 × 0.035 × 2

I = $980

b) For Davit

Davit received $870 as an interest for money invested in Foreign Exchange Market three years ago. How much money did he invest, if the annual interest was 4%

The formula for Simple Interest = PRT

Where

P = Principal = ?

R = Interest rate = 4% = 0.04

I = $870

T = 3 years

years

Solving for P

P = I/RT

P = $870/0.04 × 3

P = $870/0.12

P = $7250

c) For Arthur

. For starting a new business, Arthur borrowed $23000 and calculated $3450 interest for five years. What annual interest was considered?

The formula for Simple Interest = PRT

Where

P = Principal = $23,000

R = Interest rate = ?

I = $3450

T = 5 years

years

We are Solving for R

R = I/PT

R = $3450/$23,000× 5

R = 3450/115000

R = 0.03

Converting to percentage

= 0.03 × 100

= 3%

Answer: no solution

Step-by-step explanation:

Answer:

There are no values of w that make the equation true.

Answer: No solution

sorry for that but this is right solution I have solve it now

Step-by-step explanation:

it takes too much time to solve this please mark me brainliest

please mark me brainliest

Please please please please please

Answer:

m=1

Step-by-step explanation:

2m+7=9

subtract 7 on both sides

2m=2

divide 2 on both sides

m=1

hope it helped

Answer: m=1

Step-by-step explanation:

The constant is 7 and the coefficient is 2m. You would subtract 7 to both sides and then divide by 2 and you should get 1

Answer:

1. Is A 2. Is also A

Step-by-step explanation:

Hope I helped!

Answer:

it is both A

Step-by-step explanation:

I hoped u pass

Answer:

For 1/3y-9=3 y=36

For 2/3y=-6 y= -9

I hope this helps!

Answer:

1)y=36

2)y=-9

Step-by-step explanation:

Answer:

73

Step-by-step explanation:

Use the PEMDAS method. Start off with exponents, which is 3x3, which equals 9. Then do multiplication, because it comes before addition. So you multiply 9 by 8 to get 72. Then it says +1 so 72+1 equals 73. (Final Answer)

Answer:

y= -2x+2

Step-by-step explanation:

Answer:

I believe one solution

Step-by-step explanation:

One line

Answer: 3.7%

Step-by-step explanation: