All categories

3 years ago

What is the value of y in the equation 4(5y − 8 − 2) = 185 − 15?

Mathematics

1 answer:

Shalnov [3]3 years ago

7 0

4(5y-8-2) = 185-15
20y-32-8 = 170
20y-40 = 170
+40 +40
20y = 210
Divide both sides by 20
Y= 10.5

You might be interested in

---- PLEASE HELP <3 .. with steps :( <3

Zielflug [23.3K]

1) 6, 18, 54

2) 5/3, 14/9, 41/27

3) 1.5, 2.5, 2.5

Step-by-step explanation:

The function that we have in this problem is

$g(x)=3x$

We want to find the first 3 iterations.

The initial value is:

x = 2

To find the value of the 1st iteration, we just substitute this value into the expression of the function, and we get:

$g_1(x)=3x=3\cdot 2 = 6$

The to find the value of the 2nd iteration, we just substitute this value into the expression of the function, and we get:

$g_2(x)=3\cdot g_1(x)=3\cdot 6 = 18$

Finally, the 3rd iteraction is given by:

$g_3(x)=3g_2(x)=3\cdot 18=54$

Here in this problem the function that we have to use is

$g(x)=\frac{1}{3}x+1$

The initial value is

$x=2$

So the first iteration is given by

$g_1(x)=\frac{1}{3}\cdot 2 + 1 = \frac{5}{3}$

To find the 2nd iteration, we substitute this value into g(x) again:

$g_2(x)=\frac{1}{3}g_1+1=\frac{1}{3}\cdot \frac{5}{3}+1=\frac{5}{9}+1=\frac{14}{9}$

Finally, to find the 3rd iteration, we substitute this value into g(x) again:

$g_3(x)=\frac{1}{3}\cdot \frac{14}{9}+1=\frac{14}{27}+1=\frac{41}{27}$

The function in this problem is

$g(x)=-|x-2|+3$

The initial value is

x = 0.5

So, the first iteration is:

$g_1(x)=-1|0.5-2|+3=-1|-1.5|+3=-1\cdot 1.5 +3=-1.5+3=1.5$

The second iteration is given by

$g_2(x)=-|g_1-2|+3=-|1.5-2|+3=--0.5+3=2.5$

Finally, the 3rd iteration is

$g_3(x)=-|g_2-2|+3=-|2.5-2|+3=-0.5+3=2.5$

5 0

4 years ago

Rewrite 0.37 in expanded form using powers of ten.

Black_prince [1.1K]

Expanded form is the form of writing numbers in addition. Example: 653 would be 600+50+3 in expanded form. .37 using powers would be 37×10^-2 .

In expanded form, we just need to expand the 37 because it is the only one with 2 different places without a 0 in either one.

Answer: 30+7×10^-2 would be the expanded form of .37 using powers of 10.

4 0

4 years ago

A 40-foot ladder is leaning against a building and forms a 29.32° angle with the ground. how far away from the building is the b

zaharov [31]

The distance between the building and the ladder is 34.876 foot.

<h3>What is a Right Triangle?</h3>

A triangle in which one of the angle measure is equal to 90 degree is called a right triangle.

The ladder forms a right triangle with the building and the ground,

The length of the triangle is 40 foot

The angle made by the ladder is 29.32 degree

By using Trigonometric Ratios

cos 29.32 = Base / Hypotenuse

cos 29.32 = Base / 40

0.8718 × 40 = Base

Base = 34.876 foot

Base is the distance between the building and the ladder.

Base of the ladder = 34.876 foot

To learn more about trigonometric functions from the given link

brainly.com/question/24336684

#SPJ4

8 0

2 years ago

5 Consider this system of equations:<br> 5x + y = -2<br> 2x - 2y=4

Ilia_Sergeevich [38]

Answer:

x = 0

y = -2

Step-by-step explanation:

The given system of equation are:

5x + y = -2

2x - 2y = 4

The problem here is to find x and y from the expression

5x + y = -2 ----- i

2x - 2y = 4 ---- ii

So;

i x 2 : 10x + 2y = -4 ---- iii

ii x 5 : 10x - 10y = 20 ----- iv

iii - iv; 12y = -24

y = -2

Now find x;

5x + y = -2

5x - 2 = -2

x = 0

7 0

3 years ago

it takes 29 minutes to ride your skateboard to school, give or take 4 minutes. what are the possible times (t) it takes you to g

lorasvet [3.4K]

29-4 = 25
29+4 = 33
So, from 25 to 33 minutes.

5 0

3 years ago