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3 years ago

Find the x Please help me and show how you got it :)

Mathematics

1 answer:

Kaylis [27]3 years ago

4 0

9514 1404 393

Answer:

x = 4

Step-by-step explanation:

The parallel lines divide the sides proportionally, so ratios of corresponding sides are the same.

(x +5)/15 = (5x +1)/35

Multiplying by 105, we have ...

7(x +5) = 3(5x +1)

7x +35 = 15x +3 . . . . . eliminate parentheses

32 = 8x . . . . . . . . . subtract 7x+3 from both sides

4 = x . . . . . . . . divide by 8

You might be interested in

What two numbers multiply into (-24) and adds up to (-10)?

yKpoI14uk [10]

Two numbers multiply into (-24) and adds up to (-10) are 2 & -12

Step-by-step explanation:

Here we need to find two numbers , with the following info:

Let us assume that two numbers are x & y .

two numbers multiply into (-24):

Two numbers are x and y , and there multiply is -24 i.e.

⇒ $x(y) = -24$

two numbers adds up to (-10):

Two numbers are x and y , and there addition is -10 i.e.

⇒ $x+y = -10$ . .............. (1)

Let's solve this :

We know that , $(x+y)^2 = x^2 +y^2 +2xy$

⇒ $(x+y)^2 = x^2 +y^2 +2xy$

⇒ $(-10)^2 = x^2 +y^2 +2(-24)$

⇒ $100 = x^2 +y^2 -48$

⇒ $x^2 +y^2 =148$

Now,

⇒ $(x-y)^2 = x^2 +y^2 -2xy$

⇒ $(x-y)^2 = (148) -2(-24)$

⇒ $(x-y)^2 = (148) +48=196 = 14^2$

⇒ $x-y = 14$ .......... (2)

Let's solve equation 1 & 2 by adding (1)+(2):

⇒ $(x+y)+(x-y) = -10 +14$

⇒ $2x=4$

⇒ $x=2$

Putting value of $x=2$ in $x-y = 14$ :

⇒ $2-y = 14$

⇒ $y = -12$

Therefore, two numbers multiply into (-24) and adds up to (-10) are 2 & -12.

4 0

3 years ago

If you deposit $6000 into an account paying 6.5% annual interest compounded quarterly, how long until there is $12600 in the acc

grandymaker [24]

Use this formula:

K = K_0 * (1+r)^n

Insert and solve for n:

12600 = 6000 * (1+0.065)^n

n = 11.78

So about 12 quarters.

Hope that helped.

3 0

3 years ago

PLEASEEEEE SOMEONE HELP ME ASAP

marishachu [46]

Answer:

*helps*

Step-by-step explanation:

need anymore help?

8 0

3 years ago

Find the distance between the points (5,-6), (-3,12)

grigory [225]

Answer:

$\displaystyle d = 2\sqrt{97}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: $\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Point (5, -6)

Point (-3, 12)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]: $\displaystyle d = \sqrt{(-3-5)^2+(12+6)^2}$
[√Radical] (Parenthesis) Subtract/Add: $\displaystyle d = \sqrt{(-8)^2+(18)^2}$
[√Radical] Evaluate Exponents: $\displaystyle d = \sqrt{64+324}$
[√Radical] Add: $\displaystyle d = \sqrt{388}$
[√Radical] Simplify: $\displaystyle d = 2\sqrt{97}$

8 0

3 years ago

If I put 4736 marbles into groups of 100, how many groups would I have? Show how you figured it out.

NNADVOKAT [17]

Divide to find out

4736/100 = 47.36

Therefore, we have to round, and then we get 47.

Answer: 47 groups and a remainder of 36.

8 0

3 years ago

Read 2 more answers