All categories

3 years ago

What is the answer to –5(x + 7) = 3x + 29

Mathematics

2 answers:

mel-nik [20]3 years ago

8 0

Answer:

x = -8

Step-by-step explanation:

Anastasy [175]3 years ago

8 0

X= -8
Step 1. You have to distribute -5 through the parentheses and you will get -5x-35=3x+ 29
Step 2. Move variable to the left-hand side and change its sign and get -5x-3x- 35= 29 Part 2. Move constant to the right-hand side and change its sign -5x-3x=29+35
Step 3. Collect the like terms -8x=29+35
Part 2. Add the numbers -8x=64
Step 4. Divide both side of the equation by -8

You might be interested in

Equations with variables on both sides : 17-2p = 2p+5+2p

BlackZzzverrR [31]

Answer:

p = 2

Step-by-step explanation:

17 - 2p = 2p + 5 + 2p

- 2p - 2p - 2p = 5 - 17

- 6p = - 12

p = -12 / -6

p = 2

6 0

3 years ago

The net below is used to form a cylinder with a radius of 5 units.

lbvjy [14]

Answer:

5 5 ABCD added to 55 110 two ten

5 0

3 years ago

Jenny peddled her bike 30 miles in 40 minutes. If she traveled at the same speed, how far would she travel in 3 hours?

mart [117]

Answer:

Jenny cycles the grand distance of 29 and one third of a mile.

Step-by-step explanation:

I want to answer this using fractions and without multiplying by an awkward recurring decimal.

Cycling 11 miles in 45 minutes and continuing at the same speed means she will go 22 miles in 90 minutes

To scale up 90 mins to the required 120 mins (2 hours) multiply by 4/3.

22 x (4/3) = 88/3

Jenny will travel 88/3 miles in 2 hours.

Not happy with top heavy fractions?

Let's round up 88/3 to 90/3 by adding 2/3.

90/3 = 30 and to get back to the answer we just take away the two thirds we added when rounding up.

Jenny cycles the grand distance of 29 and one third of a mile.

I think that is the correct answer.

6 0

3 years ago

One coin in a collection of 65 has two heads. The rest are fair. If a coin, chosen at random from the lot and then tossed, turns

geniusboy [140]

Answer:

P=1/65.

Step-by-step explanation:

We knaow that one coin in a collection of 65 has two heads. If a coin, chosen at random from the lot and then tossed, turns up heads 6 times in a row. We calculate the probability that it is the two-headed coin.

We calculate the number of possible combinations:

$C_1^{65}=\frac{65!}{1!(65-1)!}=65$

Number of favorable combinations is 1.

Therefore, the probability is

P=1/65.

6 0

3 years ago

Among all pairs of numbers (x,y)such that 6x+2y=36 find the pair for which the sum of squares, x^2+y^2 is minimum.

lora16 [44]

First, we simplify 6x+2y=36 into 3x+y=18 by dividing by 2. This means that y=-3x+18.

The sum $x^2+y^2$ can be written as: $x^2+y^2=(x+y)^2-2xy$ ,

from the binomial expansion formula: $(x+y)^2=x^2+2xy+y^2$ .

Thus, substituting y=-3x+18 and simplifying we have

 $x^2+y^2=(x+(-3x+18))^2-2x(-3x+18)$ $=(-2x+18)^2+6x^2-36x=4x^2-72x+18^2+6x^2-36x$ $=10x^2-108x+18^2$ .

This is a parabola which opens upwards (the coefficient of x^2 is positive), so its minimum is at the vertex. To find x, we apply the formula -b/2a. Substituting b=-108, a=10, we find that x is 108/20=5.4.

At x=5.4, the expression $10x^2-108x+18^2$ , which is equivalent to $x^2+y^2$ , takes it smallest value.

Substituting, we would find $10x^2-108x+18^2=10(5.4)^2-108(5.4)+18^2=291.6-583.2+324$ =32.4 This is the smallest value of the expression.

For x=5.4, y=-3x+18=-3(5.4)+18=1.8.

Answer: (5.4, 1.8)

8 0

3 years ago