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2 years ago

Debbie and Dave share 75 smarties in the ratio 8 : 7 . How many smarties do they each get?

Mathematics

1 answer:

Fudgin [204]2 years ago

7 0

8+7=15
75 divided by 15 = 5
Each unit =5
8 x 5 = 40, so Debbie gets 40 smarties
7 x 5 = 35, so Dave gets 35 smarties.

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2 years ago

Find the degree of the monomial. -1.75K2 The degree is

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Step-by-step explanation:

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2 years ago

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1 year ago

In order to solve the following system of equations by addition, which of the

Pavlova-9 [17]

Answer:

Multiply the top equation by -3 and the bottom equation by 2

Step-by-step explanation:

Given system of equations:

$\begin{cases}4x-2y=7\\3x-3y=15 \end{cases}$

To solve the given system of equations by addition, make one of the variables in both equations sum to zero. To do this, the chosen variable must have the same coefficient, but it should be negative in one equation and positive in the other, so that when the two equations are added together, the variable is eliminated.

To eliminate the variable y:

Multiply the top equation by -3 to make the coefficient of the y variable 6:

$\implies -3(4x-2y=7) \implies -12x+6y=-21$

Multiply the bottom equation by 2 to make the coefficient of the y variable -6:

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Add the two equations together to eliminate y:

$\begin{array}{l r r}& -12x+6y= &-21\\+ & 6x-6y= & 30\\\cline{1-3}& -6x\phantom{))))))} = & 9\end{array}$

Solve for x:

$\implies -6x=9$

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Substitute the found value of x into one of the equations and solve for y:

$\implies 3\left(-\dfrac{3}{2}\right)-3y=15$

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$\implies y=-\dfrac{39}{2 \cdot 3}$

$\implies y=-\dfrac{13}{2}$

Learn more about systems of equations here:

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1 year ago

Read 2 more answers

What is the domain of the relation?

Thepotemich [5.8K]

Answer: $-4$

Step-by-step explanation:

Domain: x-axis

Range: y-axis

The relation graph shows the points in which the domain is located. To find the Domain, go to the point in the x-axis (the horizontal line) and note the number where the point lies. For this question, the point on the left side of the graph lies on negative four ( $-4$ ), and on the right side, the point is on 6. Therefore, the domain of this relation is negative four is greater than/equal to x is less than/equal to six. It could also be written like this: $-4\leq x\leq 6$ .

Learn more: brainly.com/question/24574301

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2 years ago