All categories

4 years ago

What is the solution to this equation? 6x + 5 = 29

Mathematics

2 answers:

Finger [1]4 years ago

7 0

6x+5=29
29-5=24
6x=24
24/6=4
x=4

Maslowich4 years ago

4 0

Answer:

x=4

Step-by-step explanation:

6x+5=29

subtract 5 on both sides

6x=24

divide by 6 on both sides

x=4

hope this helps

You might be interested in

Solve for y. 2/3+y−1/9=7/9 Enter your answer in the box

Novosadov [1.4K]

Adding 1/9 to both sides, we get 2/3+y=8/9. Next, 2/3 can be multiplied by 3/3 to get 6/9 due to that 3*3=9 and using the identity property. We then subtract 6/9 from both sides to get y=2/9

3 0

3 years ago

Which could be the dimensions of a rectangular prism to service area is less than 160 ft.² check all that apply

raketka [301]

Area of rectangular prism is given by:

A=2(wl+hl+lw)

where w=width h=height, l=length

checking for given options

1. 8 ft, by 4ft by 3ft

Area = 136 square feet

5. 3 feet by 5 feet by 7 feet

Area =142 square feet

so our first and last option matches the requirement of area less than 160 square feet.

3 0

4 years ago

Read 2 more answers

An artist used silver wire to make a square that has a perimeter of 40 inches. She then used copper wire to make the largest cir

finlep [7]

Answer:

The area of the copper circle is <u>31.4 inches</u>.

Step-by-step explanation:

Given:

An artist used silver wire to make a square that has a perimeter of 40 inches.

She then used copper wire to make the largest circle that could fit in the square, with perimeter of 40 inches.

Use 3.14 to represent π.

Now, to find the area of the copper circle.

Perimeter of square = 40 inches.

So, we get the side of square by putting formula:

$Perimeter=4\times side$

$40=4\times side$

Dividing both sides by 4 we get:

$10=side.$

$Side=10\ inches.$

Now, as the side of square is 10 inches it is the diameter of the circle as the square is fit inside the circle:

For getting the area of circle we find the radius:

Radius (r) = $\frac{Diameter}{2} \\=\frac{10}{2}= 5\ inches.$

Now, putting the formula to get the area of the circle:

$Area=2\times \pi \times r$

$Area=2\times 3.14\times 5$

$Area=31.4\ inches.$

Therefore, the area of the copper circle is 31.4 inches.

6 0

3 years ago

Simplify the rational expression. State any restrictions on the variable.

AveGali [126]

Answer:

The last choice.

Step-by-step explanation:

$\dfrac{k^2-k-2}{k^2-4k-5}=\dfrac{(k+1)(k-2)}{(k+1)(k-5)}=\dfrac{k-2}{k-5}$

The value of k must be restricted from being one that makes the original denominator zero. Hence k ≠ -1 or 5.

7 0

3 years ago

The function ƒ(x) = (x − 1)^2 + 5 is not one-to-one. Find a portion of the domain where the function is one-to-one and find an i

melisa1 [442]

Answer:

f(x)=(x-1)^2+5 with domain x>1 and range y>5 has inverse g(x)=sqrt(x-5)+1 with domain x>5 and range y>1.

Step-by-step explanation:

The function is a parabola when graphed. It is in vertex form f(x)=a(x-h)^2+k where (h,k) is vertex and a tells us if it's reflected or not or if it's stretched. The thing we need to notice is the vertex because if we cut the graph with a vertical line here the curve will be one to one. So the vertex is (1,5). Let's restrict the domain so x >1.

* if x>1, then x-1>0.

* Also since the parabola opens up, then y>5.

So let's solve y=(x-1)^2+5 for x.

Subtract 5 on both sides:

y-5=(x-1)^2

Take square root of both sides:

Plus/minus sqrt(y-5)=x-1

We want x-1>0:

Sqrt(y-5)=x-1

Add 1 on both sides:

Sqrt(y-5)+1=x

Swap x and y:

Sqrt(x-5)+1=y

x>5

y>1

3 0

3 years ago