Can two fractions with the same numerator and different denominators be equal? Can the opposite be true?

Answers

Answer 1

Answer: Ye they can be equal

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Which level does macroeconomics focus on?

Answers

Choices given were:
A. personal
B. business
C. government

Among the choices, macroeconomics focus on C. GOVERNMENT.

Macro means large or large-scale. Macroeconomics deal with economies in a larger scale like national, regional, or global market which government is involved with.

Answer:

Government

Step-by-step explanation: Macroeconomics is the branch of economics that studies the behavior and performance of an economy as a whole. It focuses on the aggregate changes in the economy such as unemployment, growth rate, gross domestic product and inflation.

The function of f(x) varies directly with x, and f(x)=48 when x=8.
Evaluate f(x) when x=2

Answers

Here's the equation for direct variation. k=y/x [ f(x)=y]
Find k
k= 48/8=6
6=y/2
y=12
Hope this helps.

A pencil at a stationery store costs $1, and a pen costs $1.50. Shawn spent $12 at the store. He bought a total of 9 items. Which system of equations can be used to find the number of pencils (x) and pens (y) he bought?1.5x + y = 12
x = 9y

x + 1.5y = 12
x + y = 9

x + 9y = 12
x = 1.5y

9x + y = 12
x = 1.5y

Answers

The system of equations that represents the given statements is

x + 1.5y = 12

x + y = 9

Where x is the number of pencils and y is the number of pens that Shawn bought.

How to write an equation for a statement?

To write an equation:

Observe the variableterms from the given statement
Add/subtract required terms according to the word's 'total or difference' given in the statements
Multiply/divide required terms according to the words 'more or less given the statements
Equate with the respective values related to the variable term.

Calculation:

Given that,

A pencil at a stationery store costs - $1

and A pen costs - $1.50

Shawn spent $12 at the store. He bought a total of 9 items.

So,

Consider number of pencil = x and number of pens = y

Since he bought a total of 9 items, we can add the number of pencils and pens and equate the sum with 9

I.e., x + y = 9 ...(i)

We have cost for a single pencil and a single pen

So, to get the cost for the total number of pencils and pens that he bought, multiply the cost of a single one by the number of pencils and pens. I.e.,

1 × x and 1.50 × y

Since it is given that he spent $12 for both pencils and pens, we can write

x + 1.5 y = 12 ...(ii)

Thus, from equations (i) and (ii), the system we can write

x + 1.5 y = 12

x + y = 9

So, option 2 is the correctset of equations for the given system.

Learn more about writing equations from words here:

brainly.com/question/11567221

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I would go with the second answer

the bakery bought 4 bags of flour containing 3.5 kg each .475 g flour are needed to make a batch of muffins and 0.65 kg is needed to make a loaf of bread. if 4 batches of muffins and 5 loaves of bread are baked , how much flour will be left ? give your answer in kilograms.

Answers

1 kg = 1000g
1 bag = 3500g
4 bags = 14000g or 14 kg
4 batches of muffins = 1.9g or .0019kg
5 loaves of bread = 3.25kg
.0019 + 3.25 = 3.2519kg
14 - 3.2519 = 10.7481kg
their are 10.7481kg of flour left

Evaluate x-(-11) for x = 14.

Answers

Step-by-step explanation:

x-(-11)

= x+11

= 14+11

= 25

The answer for this question is 25

What is the equation of this line graph?A. y = 2x + 1
B. y = 2x + 2
C. y = -2x + 1
D. y = -1x + 1
E. y = -3x + 1

Answers

Answer:

it would be C. y= -2x+1

Step-by-step explanation:

Y= mx+c

the c would be the y- intercept (0,1)

m is the slope the rise/run in this case the line seems to be going down which means there would be a negative sign you move 2 units down and one right the slope would be -2/1 which is -2

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Three machines A, B, and C produce respectively 50%, 30%, and 20% of the total number of items of a factory. The percentage of defective output of these machines is 3%, 4%, and 5% respectively. If an item is selected at random, find the probability that the item is non-defective.