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3 years ago

What value of x makes the equation true?

Mathematics

2 answers:

Alina [70]3 years ago

8 0

Answer:

X is 3

Step-by-step explanation:

You can make your equation simpler by solving the one on the right:

( -11 )^x times ( -11)^4 = ( -11 )^7

Then 7 - 4 is 3 so the exponent must be 3.

Stells [14]3 years ago

6 0

Answer:

x=3

Step-by-step explanation:

(-11)^x * (-11) ^4 = (-11)^10/ (-11)^3

We know a^b * a^c = a^(b+c)

(-11)^(x +4) = (-11)^10/ (-11)^3

We know a^b / a^c = a^(b-c)

(-11)^(x +4) = (-11)^(10 -3)

(-11)^(x +4) = (-11)^(7)

The bases are the same so the exponents are the same

x+4 = 7

Subtract 4 from each side

x+4-4 = 7-4

x =3

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bonufazy [111]

120x+45y+50z=C
This equation models this situation where C is the total cost

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2 years ago

Simplify the following expression: 2(3 + a) + 6(a + 2)

iris [78.8K]

Answer:

Step-by-step explanation:

2(3+ a) + 6(a+2)

6+ 2a + 6a + 12

8a + 18

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2 years ago

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The length of a rectangle is 15ft greater than the width. The area is 100 square ft. Find the length and the Width.

gogolik [260]

Step-by-step explanation:

so let's say that the width is x then the length is x+15

and the area of a square is length times width

x(x+15)=100

x^2+15x-100=0

(x+20)(x-5)=0

x=5 or x=-20 but a side length can't be negative so x would equal 5

Length=x+15 with 5 as x

Length=20

Width=5

Hope that helps :)

7 0

2 years ago

Read 2 more answers

Farrah is making a dragon costume for her little brother. It would have triangular spikes down the head and back each head spike

lilavasa [31]

The question is not written properly! Complete question along with answer and explanation is provided below.

Question:

Farrah is making a dragon costume for her little brother. It would have triangular spikes down the head and back.

Each head spike has a base of 2 cm and a height of 6 cm.

Each back spike will be 10 cm high with a base of 6 cm.

if the costume has 6 spikes on the back and on the head 10 more spikes than the back then how many square centimeters of fabric will farrah need for all the dragon spikes?

Given Information:

Base of head spike = b₁ = 2 cm

Height of head spike = h₁ = 6 cm

Base of back spike = b₂ = 6 cm

Height of back spike = h₂ = 10 cm

Number of head spikes = n₁ = 10 + 6 = 16

Number of back spikes = n₂ = 6

Required Information:

How much fabric is needed = ?

Answer:

Farrah would need 276 cm² of fabric for all the dragon spikes.

Step-by-step explanation:

We are given that dragon costume have triangular spikes down the head and back.

The area of triangular shape is given by

Area = ½×b×h

Where b is the base and h is the height

The area of the head spike is

A₁ = ½×b₁×h₁

A₁ = ½×2×6

A₁ = ½×12

A₁ = 6 cm²

But we know that the number of head spikes is 16 so the total area of the head spikes is

A₁ = 16×6

A₁ = 96 cm²

The area of the back spike is

A₂ = ½×b₂×h₂

A₂ = ½×6×10

A₂ = ½×60

A₂ = 30 cm²

But we know that the number of back spikes is 6 so the total area of the back spikes is

A₂ = 6×30

A₂ = 180 cm²

The total area required is the sum of the area of head spikes and back spikes,

Total area = A₁ + A₂

Total area = 96 + 180

Total area = 276 cm²

Therefore, Farrah would need 276 cm² of fabric for all the dragon spikes.

3 0

3 years ago

Bianca deposited $1500 into asavings account for whichsimple interest is calculatedquarterly. If her $1500 grew to$1509 after 3

Furkat [3]

Solution:

Given;

$P=1500,A=1509,t=3months=0.25year$ $\begin{gathered} A=P(1+\frac{r}{4})^{4t} \\ \\ 1509=1500(1+\frac{r}{4})^{4(0.25)} \\ \\ \frac{1509}{1500}=1+\frac{r}{4} \\ \\ 1.006-1=\frac{r}{4} \\ \\ r=4(0.006) \\ \\ r=0.024 \end{gathered}$

Thus, the yearly interest rate on Bianca's account is 2.4%

6 0

1 year ago