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blagie [28]
1 year ago
5

A boy gets #2.00 per week as pocket money. His sister gets only #1.60 per week

Mathematics
1 answer:
Norma-Jean [14]1 year ago
6 0

The Ratio of the boy's allowance to his sister's is 5 : 4.

The new Ratio is 1 : 10000.

<h3>What is definition of ratio?</h3>
  • The quotient of two mathematical expressions, 1a. b: the proportion between two or more items in terms of quantity, amount, or size.
  • What does the arithmetic term "ratio" mean?
  • An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.
  • For instance, if there is 1 boy and 3 girls, you may express the ratio as 1: 3 (there are 3 girls for every boy), meaning that there are 1 in 4 boys and 3 in 4 girls.

To learn more about :Ratio

Ref : brainly.com/question/2328454

#SPJ13

;

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Solve the system of linear equations in two variables by elimination or substitution.
taurus [48]

Answer:

( \frac{1}{2}, 0 )

Step-by-step explanation:

Given the 2 equations

4x + 3y = 2 → (1)

2x - 3y = 1 → (2)

Adding (1) and (2) term by term will eliminate the y- term, that is

6x = 3 ( divide both sides by 6 )

x = \frac{3}{6} = \frac{1}{2}

Substitute x = \frac{1}{2} into either of the 2 equations and evaluate for y

Substituting into (1)

4(\frac{1}{2} ) + 3y = 2

2 + 3y = 2 ( subtract 2 from both sides )

3y = 0 ⇒ y = 0

Solution is ( \frac{1}{2}, 0 )

8 0
3 years ago
African elephants can eat up to 500 pounds of vegetation in one day. How many pounds of vegetation could an elephant eat in a we
Murrr4er [49]

Answer:

they would eat 3500 pounds of food in 1 week

Step-by-step explanation:

its simple math just multiply 500 by 7 and you would get 3500

5 0
2 years ago
Which of the following correlation coefficients represents the strongest
erik [133]

Answer:

\boxed {\boxed {\sf -0.92}}

Step-by-step explanation:

A correlation coefficient is a number ranging from -1 and 1 that measures the strength and direction of a linear relationship.

  • If it is a negative number, the linear relationship is also negative. If it's positive, the relationship is positive.
  • The closer it is to -1 or 1, the stronger the relationship.

Since the question only asks for the strongest relationship and does not ask for the direction (positive/negative), we can simply choose the number closest to -1/1. Therefore, the answer is -0.92.

8 0
3 years ago
Plz explain how to do this!!!
cestrela7 [59]

Answer:

Step-by-step explanation:

You are trying to find the value of K, so to do that you need to get k by itself (example : K= 3-5 instead of K+5= 3)

So in 1a i would simplify 7k-3k= 4k

then 4k=11

now to get rid of the 4 and get the k alone- you DIVIDE 4k by 4 and divide 11 by 4 cause you need to do it on both sides of the equation, it should look like this.

4k= 11

-   =  -

4      4

(4k over 4 and 11 over four)

so the answer is k = 2.75  cause 11/4 = 2.75

8 0
3 years ago
Find the angle measures. Justify your responses.
MatroZZZ [7]

Answer:

m∠3 = 2x - 10° and m∠6 = 3x + 20

m∠3 = 58°          ;    m ∠6 = 122°

Step-by-step explanation:

a ║ b

m∠2 = m∠6                     If ║ cut by a transversal, then corresponding angles

                                         are ≅ and =

m∠7 = m∠3                   If ║ cut by a transversal, then corresponding angles

                                       are ≅ and =

m∠2 = 3x + 20              Given

m∠7 = 2x - 10                 Given    

m∠6 + m∠3 = 180°         If ║ cut by a transversal, then each pair of same-side

                                       interior angles (also called consecutive interior angles

                                       are supplementary (sum = 180°) .    

3x + 20 + 2x - 10 = 180°

5x + 10 = 180°

5x = 170°

x = 34°

Answer:   m∠3 = 2x - 10° and m∠6 = 3x + 20

                m∠3 = 2(34) - 10  ;    m∠6 = 3(34) + 20

                 m∠3 = 58°          ;    m ∠6 = 122°

                                 

5 0
2 years ago
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