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3 years ago

If a/b = 4/3 and b/c = 2/3, what is a,b, and c?

Mathematics

1 answer:

kaheart [24]3 years ago

7 0

Answer:

Step-by-step explanation:

$\frac{a}{b} = \frac{4}{3}$

$\frac{b}{c} = \frac{2}{3}$

to give b from both equation the same value

$\frac{a}{b} = \frac{4}{3} \times \frac{2}{2} = \frac{8}{6}$

$\frac{b}{c} = \frac{2}{3} \times \frac{3}{3} = \frac{6}{9}$

a:b:c = 8:6:9

a = 8

b = 6

c = 9

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Given that D(x) = 2x, select all of the following that are true statements

Keith_Richards [23]

Answer:

D(x) is a function

D(x) is a direct variation

D(x) is a rule for the set of points (5.10). (6, 12) and (-2,-4)

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem

$D(x)=2x$

D(x) is a direct variation (linear function)

The variable x is the independent variable or input value

The variable D(x) is the dependent variable or output value

Verify each statement

case 1) D(x) is a function

The statement is true

see the explanation

case 2) x is the dependent variable

The statement is false

The variable x is the independent variable or input value

case 3) D(x) is a direct variation

The statement is true

see the explanation

case 4) D(x) is a rule for the set of points (5.10). (6, 12) and (-2,-4)

The statement is true

Because

For x=5

substitute in the linear equation

$D(x)=2(5)=10$ ---> is ok

For x=6

substitute in the linear equation

$D(x)=2(6)=12$ ---> is ok

For x=-2

substitute in the linear equation

$D(x)=2(-2)=-4$ ---> is ok

6 0

3 years ago

Forms of money in the United States consist of paper money, coins, and _____.

Maurinko [17]

The correct answer to the question "Forms of money in the United States consist of paper money, coins, and _____." is checking account balances. Money is any item or verifiable record that is generally accepted as payment for goods and services and repayment of debts in a particular country or socio-economic context, or is easily converted to such a form. The money supply of a country consists of currency (banknotes and coins) and bank money (the balances held in checking accounts, savings accounts, and other types of bank accounts).

5 0

3 years ago

Read 2 more answers

A fisherman leaves his home port and heads in the direction N 70 ° W. He travels d1 = 40 mi and reaches Egg Island. The next day

Gnesinka [82]

Answer:

A)82.02 mi

B) 18.7° SE

Step-by-step explanation:

From the image attached, we can see the angles and distance depicted as given in the question. Using parallel angles, we have been able to establish that the internal angle at egg island is 100°.

A) Thus, we can find the distance between the home port and forrest island using law of cosines which is that;

a² = b² + c² - 2bc Cos A

Thus, let the distance between the home port and forrest island be x.

So,

x² = 40² + 65² - 2(40 × 65)cos 100

x² = 1600 + 4225 - (2 × 2600 × -0.1736)

x² = 6727.72

x = √6727.72

x = 82.02 mi

B) To find the bearing from Forrest Island back to his home port, we will make use of law of sines which is that;

A/sinA = b/sinB = c/sinC

82.02/sin 100 = 40/sinθ

Cross multiply to get;

sinθ = (40 × sin 100)/82.02

sin θ = 0.4803

θ = sin^(-1) 0.4803

θ = 28.7°

From the diagram we can see that from parallel angles, 10° is part of the total angle θ.

Thus, the bearing from Forrest Island back to his home port is;

28.7 - 10 = 18.7° SE

4 0

3 years ago

I need help with reflections on a graph, I'll mark brainliest. Please help me.

kvv77 [185]

Answer: 1) (0,-3) 2) (4,-2) 3) (2,3) 4) (-2,2)

Step-by-step explanation: Hope this helps!

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3 years ago

What is the volume of this prism? 10m, 5m, 3.2m

Assoli18 [71]

By using the volume formula multiple the length, width, and height and you get 53 as your volume.

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3 years ago