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2 years ago

If y divided by x has a quotient of q and a remainder of r then y ?

Mathematics

1 answer:

Sveta_85 [38]2 years ago

3 0

Answer:

y = qx + r

Step-by-step explanation:

dividend/divisor = quotient R remainder

y/x = q R r

y = qx + r

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Robert's dog is 4 years older than Karen's cat. In 3 years, the sum of the ages of Robert's dog and Karen's cat will be 13. How

mylen [45]

Answer:

5.5 years old.

Step-by-step explanation:

Let D represent present age of Robert's dog and C represent present age of Karen's cat.

We have been given that Robert's dog is 4 years older than Karen's cat. We can represent this information in an equation as:

$D=C+4...(1)$

We are also told that in 3 years, the sum of the ages of Robert's dog and Karen's cat will be 13. After 3 years age of dog and cat would be $D+3$ and $C+3$ respectively.

We can represent this information in an equation as:

$D+3+C+3=13...(2)$

From equation (1), we will get:

$C=D-4$

Upon substituting this value in equation (2), we will get:

$D+3+D-4+3=13$

Combine like terms:

$2D+2=13$

$2D+2-2=13-2$

$2D=11$

$\frac{2D}{2}=\frac{11}{2}$

$D=5.5$

Therefore, Robert's dog is 5.5 years old right now.

3 0

3 years ago

HELP!! Number 7! I need to know to write the equation and how to solve it! Thank you!

Anon25 [30]

Answer:

Step-by-step explanation:

Move the decimal to the left once on both of them and time the numbers together

4 0

2 years ago

Help me with this question please! I’ll mark you brainlist and give 5 stars for this!

hoa [83]

First question is A

3 0

3 years ago

Read 2 more answers

Given the following perfect square trinomial, fill in the missing term<br> 4x2 + ___x + 49

Arisa [49]

Answer:

wheres the square trinomail

Step-by-step explanation:

6 0

2 years ago

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A is a 4x4 matrix and A^2 + 4A - 5I = 0. If det(A+2I)>0, enter det(A+2I)

maw [93]

$\mathbf A^2+4\mathbf A-5\mathbf I=0$
$\implies\mathbf A^2+4\mathbf A+4\mathbf I=(\mathbf A+2\mathbf I)^2=9\mathbf I$
$\implies\det\bigg((\mathbf A+2\mathbf I)^2\bigg)=\det(9\mathbf I)$
$\implies\det(\mathbf A+2\mathbf I)^2=9^4\det\mathbf I$
$\implies\det(\mathbf A+2\mathbf I)=\pm\sqrt{9^4}$
$\implies\det(\mathbf A+2\mathbf I)=9^2=81$

where we take the positive root because we're told that the determinant is positive.

5 0

3 years ago