Jeannie is 5 years older than her younger sister April. Together, Jeannie and April’s ages add to 41. How old is April?

Answers

Answer 1
Answer: apirl is 18 years old and her older sister is 23


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Simplify: (7+4i)+(-4+5i)+(4+7i)a)15+6i

b)3+9i

c)7+16i

d)-1+2i

Answers

Answer:

i strongly believe the answer is (c)

Step-by-step explanation:

Can someone please help ?

Answers

Tthe options that can be used as a reason in a two-column proof are:

a. a premise

b. a definition

d. a postulate

In a two-column proof, each step or statement in the proof is accompanied by a reason to justify why that step is valid. The reasons are typically based on established mathematical principles, and the choices for reasons often include premises, definitions, postulates, and previously proven theorems. Let's delve into each of these options in more detail:

Premise (a): A premise is a statement or fact that is given to you as true. It serves as a foundational piece of information on which your proof is built. For example, if you're working with a geometry proof, you might be given the premise that two angles are congruent.

Definition (b): Definitions provide the meanings of mathematical terms and concepts. You can use definitions as reasons to clarify the meaning of specific terms or properties used in your proof. For instance, you might use the definition of a right angle to justify a particular statement in a proof.

Conjecture (c): Conjectures are unproven statements or hypotheses. They are not typically used as reasons in a proof because they lack the mathematical rigor and certainty required in a proof. However, conjectures can serve as a starting point for exploring and formulating proofs.

Postulate (d): Postulates (or axioms) are fundamental statements or principles in mathematics that are accepted as true without proof. Postulates are often used as reasons in geometric proofs to justify certain statements or relationships, such as the postulate that states two points determine a unique line.

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Two column proofs are typically divided into two columns, statements and reasons, and each statement must be justified in the reasons column. Therefore, only postulates and definitions can be used in a two column proof reason

72:64 = 9: ___
what is the answer?

Answers

The equivalent ratio is calculated as: 9:8

How to find the ratio?

Ratio is defined as the relative size of two quantities expressed as the quotient of one divided by the other; the ratio of a to b is written as a:b or a/b.

Proportion is defined as an equality between two ratios.

We are given that the ratio is 72:64.

This is equivalent to 72/64

If the numerator is broken down to 9 it means the denominator will be divided by 8 to get 64/8 = 8.

Thus, the equivalent ratio is 9:8

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it's 8 because 72 divide 9 is 8 and 64 divide 8 is 8

Andre says that 5 3/4 + 2 1/2 =7 1/2 because 7 4/8 = 8 1/2. Identify his mistake. Draw a picture to prove that he is wrong.

Answers

5(3)/(4)+2(1)/(2)=5(3)/(4)+2(2)/(4)=7(5)/(4)=8(1)/(4)\n\nmistake:\n\n5(3)/(4)+2(1)/(2)=5(3)/(4)+2(1)/(4)=5+2+(3+1)/(4+4)=7(4)/(8)=7(1)/(2)

750 split in to the ratio 7:8

Answers

Given:
total = 750
ratio = 7 : 8

We need to get the ratio of the number to its total

7 + 8 = 15 ; 7/15 and 8/15 is the ratio of the number to its total.

We multiply these ratio to the total of 750

7/15 * 750 = 350
8/15 * 750 = 400

7:8 is equal to 350:400


What do the graphs of multiplicative patterns have in common?

Answers

Multiplicative patterns are the patterns in which when a constant value (apart from zero) is multiplied by a given input value to know the output value.Hence the graphs of multiplicative pattern have in common that they are repetitive for the same value. The multiplicative pattern graph for the above equation is attached below.

What is multiplicative pattern graph?

Multiplicative patterns are the patterns in which when a constant value (apart from zero) is multiplied by a given input value to know the output value. Such patterns are multiplicative pattern as they are repeating the values for variables with the same number.

Let a function of variable x for a line as,

y=4x

The value for variable y will be different for the different values of the variablex. For the given function when the value of x is 0 then

y=4*0

y=0

When the value of x is 1 then

y=4*1

y=4

When the value of x is 2 then

y=4*2

y=8

when the value of x is 3 then

y=4*3

y=12

Thus the values for the function is in the form of multiple of four. Such patterns are multiplicative pattern as they are repeating the values for variables with the same number.

Hence, the graphs of multiplicative pattern have in common that they are repetitive for the same value. The multiplicative pattern graph for the above equation is attached below.

Learn more abut the multiplicative pattern here;

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they repeat by adding that same number again and again