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3 years ago

What is the value of x 2x+3y=45 x+y=10

1 answer:

Volgvan3 years ago

4 0

Assuming this is a system of equations, here is how to find x.

2x + 3y = 45
x + y = 10

Multiply x + y = 10 by 2 so you are able to use the elimination method.

2x + 3y = 45
2x + 2y = 20

Subtract.

y = 25

Now that we've found y, we can plug it in to find x.

x + 25 = 10

Subtract 25 from both sides.

x = -15

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Jennifer had $256.86 in her bank account. She made a deposit of $43.78. What is her new bank account balance?

NARA [144]

Answer:

$300.64

Step-by-step explanation:

Step one:

Given data

Jennifer had $256.86

She made a deposit of $43.78

Required

The total amount in the account

Step two:

To get the balance, we need to sum the previous amount with the deposited amount

Total= 256.86 +43.78

Total=$300.64

The balance is $300.64

7 0

3 years ago

A 1200 b 3200 c 3680 d 5520

anygoal [31]

Answer:

c. 3680

Step-by-step explanation:

In 2010, the population was 8000.

In 2014, it increased by 15%.

Population in 2014 :

= 8000 + 15/100×8000

= 8000 + 1200

= 9200.

Now, 2/5 of the population was age 12 or under.

= 2/5 × 9200

= 2×1840

= 3680

Answer - c) 3680

3 0

3 years ago

Which points lie on the line whose equation is 8x - 2y + 7 = -9? Select all that apply.

Anestetic [448]

Answer:

A.(-2, 0)

C. (-1.4)

Step-by-step explanation:

we know that

If a point lie on the line, then the point must satisfy the equation of the line (makes the equation true)

we have

$8x-2y+7=-9$

subtract 7 both sides

$8x-2y=-9-7$

$8x-2y=-16$

divide by 2 both sides

$4x-y=-8$

Substitute the value of x and the value of y of each point in the linear equation and analyze the result

Verify each point

case A) we have

(-2, 0)

For x=-2, y=0

substitute

$4(-2)-(0)=-8$

$-8=-8$ ---> is true

the point lie on the line

case B) we have

(1, 3)

For x=1, y=3

substitute

$4(1)-(3)=-8$

$1=-8$ ---> is not true

the point not lie on the line

case C) we have

(-1, 4)

For x=-1, y=4

substitute

$4(-1)-(4)=-8$

$-8=-8$ ---> is true

the point lie on the line

case D) we have

(1, -4)

For x=1, y=-4

substitute

$4(1)-(-4)=-8$

$8=-8$ ---> is not true

the point not lie on the line

case E) we have

(0, -1)

For x=0, y=-1

substitute

$4(0)-(-1)=-8$

$1=-8$ ---> is not true

the point not lie on the line

7 0

3 years ago

Bad gums may mean a bad heart. Researchers discovered that 80% of people who have su ered a heart attack had periodontal disease

saul85 [17]

Answer:

0.069 = 6.9% probability that he or she will have a heart attack

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Does not have periodontal disease

Event B: Has a heart attack.

Probability of not having a periodontal disease:

100 - 80 = 20% of 10%(had a heart attack).

30% of 100-10 = 90%(did not have a heart attack). So

$P(A) = 0.2*0.1 + 0.3*0.9 = 0.29$

Intersection of A and B:

Not having the disease, suffering a heart attack, so 20% of 10%.

$P(A cap B) = 0.2*0.1 = 0.02$

What is the probability that he or she will have a heart attack?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.02}{0.29} = 0.069$

0.069 = 6.9% probability that he or she will have a heart attack

6 0

3 years ago

Two rays that meet at the same point

jarptica [38.1K]

Answer:A part of a line-it has one endpoint and continues on and on in only one direction. Angle. Formed by two rays that have the same endpoint.

Step-by-step explanation:

8 0

3 years ago

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