What is the solution to the linear equation?

4b + 6 = 2 – b + 4

b = –2
b = 0
b = 4
b = 6

Answer:

7.5m

Step-by-step explanation:

Set up a proportion and cross multiply to find the unknown

Hope this helps

The elongation of spring by 170 newtons force maintaining the given ratio is 7.5 cm.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given question,

Elongation of spring in 180 newtons = 5 cm

The ratio of elongation to force applied = 5/180

The force the second time is 270 newtons.

Let's say the elongation at this time is x cm.

The ratio of elongation to force applied = x/270

Both ratios must be the same.

Therefore,  x/270 = 5/180

x = 270/36 = 7.5 cm

Hence "The elongation of spring by 170 newtons force maintaining the given ratio is 7.5 cm".

For more information about ratios and proportions,

brainly.com/question/26974513

#SPJ5

Answer:

1) 5.28 x 10^4 g

2)2.556 x 10^2 m

3)4.109 × 10^-2cm

Have a nice day!!!!!

Answer:

52,800 in scientific notation is [tex]5.28[/tex] × [tex]10^4[/tex].

255.6 in scientific notation is [tex]2.556[/tex] × [tex]10^2[/tex].

0.04109 in scientific notation is [tex]4.109[/tex] × [tex]10^{-2}[/tex].

Step-by-step explanation:

for measuring the angle use the protractor !

Answer:

24 g

Step-by-step explanation:

60/100x40

2400/100

24

Answer:

D.) an = 4 * an-1

Step-by-step explanation:

a(n) = (1/3) * 4^(n-1)

a(n-1) = (1/3) * 4^(n-1-1) = (1/3) * 4^(n-2)

Thus,

a(n) = (1/3) * 4 * 4^(n-2) = 4 * [(1/3) * 4^(n-2)] = 4 * a(n-1), so that

a(n) = 4 * a(n-1).

Answer: 65005.037

Step-by-step explanation:

I=?

P=6,500

R=037

T=5 years

 I=  6,500+037+5= 65005.037

Answer: y=5x+b

Step-by-step explanation:

I used the slope intercept equation, which supplied me the solution.

m=5

b=0

Answer: The attachment is a bit difficult to read, and long.  I'll make some suggestions and add some detail to a few of the problems, but would ask that these suggestions be applied to other problems to find the answers.

Step-by-step explanation:

9.   Coinciding lines line on top of each other.  I.e., they are the same equation.  If we take A, for example, we can reduce the second expression by dividing by 2:  (2x+4y=6)/2 = (x + 2y = 3).  This matches the first expression (x + 2y = 3).  !   Whoa, that went fast.

10.   (x+8)(x-8) = x² +8x -8x - 64 = x² - 64

11.  I don't have the time to explain how one can factor, but practice is important.  And I don't know if this is completely factored, but it matches one of the options.  Try (n-2)(n²+2n + 4)  [n³ +2n² +4n - 2n² -4n -8 = n³ - 8.  It works.

12.  The denominators are the same, so add the numerators and keep the denominator.  (7x+4y)/x²y

13.  The slope is the "Rise" over the "Run."  (3,4), (8,-1)  Rise = (-1 - 4) = -5.  Run = (8-3) = 5  Slope = -(5/5) = -1

14.  A line with a positive slope will move upwards as x increases.  We can eliminate options C and D immediately.  That leaves A and B.  The line we are looking for is y = 5x + b.  We are not given b, the y-intercept, so determine the slopes of both lines:  I get 4 for A and 5 for B.  To confirm B is correct, we could calculate b for y=5x+b by using given point, (2,3).  3 = 5*2 + b, b = -7.  We can't see this point (0,-7) on the graph, but it appears correct.  B is the best answer.

15.  The line will have the form of y=mx+b.  Calculate m, the slope, from the two points (3,1) and (4,7).  Rise = 6, Run = 1  Slope = 6.  y=6x+b.  Find b by using either of the given poins and solving for b.  I'll choose (3,1).  y=6x+b;  1 = 18 + b; b = -17.  The equation is y=6x-17.  Rearrange option A (y =6x - 17).

16.  The second value in each factor must, when multiplied together, equal the final term of the original expression, -9y².  I see only one option for which that is true, C.  Multiply the two factors in C to be certain, and you'll find they result in the correct expression.

Answer:

- 18

Step-by-step explanation:

9 ( - 2 )

= 9 x ( - 2 )

= - 18

Therefore, - 18 is the answer of the given equation.

Answer:

-18

Step-by-step explanation:

the parentheses mean to multiply, so 9 times 2 is 18, but since it is a negative and a positive that you're multiplying, then it would be negative 18

Answer:

B.) She gets $6.50 per candle.

Step-by-step explanation:

19.5 (the price of 3 candles) divided by 3 is 6.5.

Answer:

Sorry I don't remember the answer

Answer:

it would be roughly 24 hours

Step-by-step explanation:

180÷14

12.8571428571

simplify to 12.85

12.85× X = 300

X=24

Answer:

GAP but if not that AGP

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the order of corresponding vertices.

Q and G, D and A, J and P are corresponding considering the marks on the lines.

Step-by-step explanation:

this is the answer

hopes it helps

Answer:

The points all lie very close to the line of fit, and the

line is decreasing.

Step-by-step explanation:

Brainliest maybe

Answer: A.) The points all lie very close to the line of fit, and the line is decreasing.

Answer:

5^6

5^6 is the same thing as

5^6=5×5×5×5×5×5

=5×5=25×5=125×5=625×5=3125×5=15625

5^6= 15625

Answer:

125 * 125

Step-by-step explanation:

do 125 x 125 = 15625

Answer:

y=14.5

Step-by-step explanation:

A slope of 3/2 means that for every unit it moves to the right, it will move 1.5 units up. The x of 4 is 7 more than the -3 of our other point. 7*1.5=12.5, and 12.5+2=14.5.

Answer:

it's the third one. x=47/3

Step-by-step explanation:

if needed in decimal form: 15.666

mixed number form: 15 2/3

Answer:

The answer to this question is C

[tex]y = \frac{3}{2} x + 7 \\ \\ y = \frac{1}{2}x + 1 [/tex]

Answer:

y=2x-8

Step-by-step explanation:

Plot the line and use the parallel slope to create the line and then find the y-intercept

Answer:

Step-by-step explanation:

The triangle’s angles add up to 180 degrees

so 40 + (16x + 2) + ∠C = 180

The straight angle is 180°

so ∠C = 180 - (23x + 7)  

∠C = 180 - 23x -7

∠C = 173 - 23x

and then 40 + (16x + 2) +(173 - 23x) = 180

40 + 16x + 2 + 173 - 23x = 180

215 - 7x = 180

-7x = 180 - 215

-7x = -35

x = 5

please give me a brainliest answer

Answer:

y = 100 - 0.08^ x

Step-by-step explanation:

I) Degree Yes No m b

6) 1 √ 1 10

7) 1 √ 5 -1

8) 2 √

II)

9) x = 1,y = 3, 3x

x = 2,y = 6, 3x

x = 3,y = 9, 3x

It's a linear equation because it has 1 degree of function.

f(x) = 3x + 0.

10) x = -2,y = 4,x²

x = -1,y = 1,x²

x = 0,y = 0,x²

It's not linear a linear equation because it has 2 degree of function.

A)

1. m = -2/3 , b = 4

y = mx + b

y = -2/3x + 4

Values;

x= 0,y = 4 (0, 4)

x=1,y=10/3 (1,10/3)

x=2, y= 8/3 (2, 8/3)

x=3, y=2 (3, 2)

x=4, y=4/3 (4, 4/3)

The graph is the 1st one above.

2. a = -2 , b = 3

y = mx + b

at y = 0, x = -2

0 = m(-2) + 3

-3 = -2m

m = 3/2

y = 3/2x + 3

Values;

x = -2, y=0, (-2, 0)

x = -1, y = 3/2, (-1, 3/2)

x = 0,y = 3, (0, 3)

x = 1,y = 9/2, (1, 9/2)

x = 2, y = 6, (2, 6)

The graph is the 2nd one above.

Answer: h>9/2

Step-by-step explanation:

Answer:

[tex]m=− 32​ ≈−0.666666667[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

Part one

1 mile per hour = 1.60 kilometers per hour

30 miles per hour = ?

Step 1: Set up a fraction.

The units must be on the same level. And the rate in KM (kilometer) per hour will be a variable, "[tex]k[/tex]". It does not matter whether they are top or bottom.

[tex]\frac{1.60}{1} = \frac{k}{30}[/tex]

As you can see, 1 mile per hour and 30 miles per hour are at the same level, leaving the rest on the same level, as well.

Step 2: Solve

[tex]\frac{1.60}{1} = \frac{k}{30}[/tex]

1.60 × 30 = 48

1 × k = 1

Therefore, the rate is 48 kilometers per hour.

Part 2

This part is mainly the same as the first part. Fractions. However, since we've already found out the answer for part one, it will be simple.

Step 1: Multiply the result to 5.

48 × 5 = 240

Therefore, the cyclist will travel 240 kilometers in 5 hours.

Step-by-step explanation:

First, to make everything more clear, rewrite it like this-

1 mile = 1.6km

So we have to multiply 30 (miles) by 1.6 (km)

30 x 1.6 + 48

So it is 48km per hour, now we have to calculate how many km does she ride in 5 hours.

We have to multiply 48 by 5 which equals 240

So the answer is 240km

Answer:

Step-by-step explanation:

sum of angles of a triangle=180°

9x-2+3x-19+3x+6=180

15x-15=180

15x=180+15=195

x=195/15=13

m∠G=9x-2=9×13-2=117-2=115°

Simplifying Expressions Using the Properties of Exponents (Four Examples)Daniel Ozimek