All categories

3 years ago

Need help with 9 please

Mathematics

1 answer:

Debora [2.8K]3 years ago

6 0

Answer:

x = 5

y = 1

Step-by-step explanation:

So move 2y from the second equation to the other side of the equals sign

2x +3y = 13

x = 3 + 2y

From here substitute X into the first equation

2(3 + 2y) + 3y = 13

Distribute

6 + 4y +3y = 13

Combine like terms and solve for y

7y = 7

y = 1

insert result into the original equation.

x-2(1) = 3

x - 2 = 3

x = 5

insert into other equation to check work

2(5) + 3(1) = 13

10 + 3 = 13 correct

You might be interested in

Mai has 40 tens and how many hundreds

Ipatiy [6.2K]

40 x 10 = 400
400 / 100 = 4
Mai has 4 hundreds.

5 0

3 years ago

Read 2 more answers

WILL GIVE BRAINLIEST The angle of elevation from Ben to the top of a telephone pole is 62 degrees. If Ben is standing 8 feet fro

MrRissso [65]

Answer: The height of the telephone pole = $15.046

Step-by-step explanation:

Given: Angle of elevation= 62 degrees.

Distance of Ben from the base of the pole = 8 feet

According to trigonometry, we have

$\tan x=\dfrac{\text{side opposite to x}}{\text{side adjacent to x}}$

i.e.

$\tan 62^{\circ}=\dfrac{\text{ height of the telephone pole}}{8}\\\\(1.880726)=\dfrac{\text{ height of the telephone pole}}{8}\\\\\text{ Height of the telephone pole} = 8\times 1.880726\approx15.046$

Hence, The height of the telephone pole = $15.046

4 0

2 years ago

I hope to better understand these math questions, could you help me?

mart [117]

Answer is SSA (first choice)

cause LE perpendicular to BU so LEB = LEU = 90

hope it helps

7 0

2 years ago

Dan bought a new computer for $900. Each year, the value of the computer decreased by 25% of the previous year's value. At this

tankabanditka [31]

Answer:

$120.1355

Step-by-step explanation:

We can model this as an exponencial function:

P = Po * (1+r)^t

Where P is the final value, Po is the inicial value, r is the rate and t is the amount of time.

For this case, we have that Po = 900, r = -25% = -0.25 and t = 7, so we can find the value of P

P = 900 * (1 - 0.25)^7 = $120.1355

The price after 7 years will be $120.1355.

8 0

3 years ago

A manufacturer knows that 14% of the products it produces are defective. Find the probability that among 7 randomly selected pro

diamong [38]

Answer: 0.6521

Step-by-step explanation:

According to the Binomial distribution , the provability of getting x successes in n trials is given by :-

$P(x)=^nC_xp^x(1-p)^{n-x}$ , where p=probability of getting success in each trial.

Let x denotes the number of defective products.

here , n=7 and p =0.14

Then, the probability that among 7 randomly selected products, at least one of them is defective= P(X ≥ 1) =1- P(X<1)

= 1- P(X=0)

$=1-^7C_0(0.14)^0(1-0.14)^7$

$=1-(1(1)(0.86)^7\ \[\because ^nC_0=1]$

$=1-0.347927822217$

$=0.652072177783\approx0.6521$

Hence, the probability that among 7 randomly selected products, at least one of them is defective is 0.6521 .

7 0

3 years ago