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VARVARA [1.3K]
2 years ago
8

the number of Roberto's baseball cards is 3/4 the number of David's cards. If Roberto gives 1/2 of his cards to David, what will

be the ratio of Roberto's cards to David's cards?
Mathematics
1 answer:
Nataliya [291]2 years ago
3 0

Answer:

The ratio between Roberto and David is 3:11

Step-by-step explanation:

If Roberto were to have 18 cards when we start, then David would have 24. Roberto has 3/4 the amount that David has. Then Roberto gives half of his cards (9) to David. Roberto now has 9 cards and David has 33.

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A snail moved 5 feet in 2 hours. How many feet will the snail move in 5 hours?
mamaluj [8]
The best way to do this is to set up a proportion

2       5
--- = ----
5       x

then cross multiply and divide

5 times 5=25/2=12.5

he would move 12.5 feet in 5 hours

I hope I've helped!
4 0
3 years ago
Solve the system by using a matrix equation.<br> --4x - 5y = -5<br> -6x - 8y = -2
evablogger [386]

Answer:

Solution : (15, - 11)

Step-by-step explanation:

We want to solve this problem using a matrix, so it would be wise to apply Gaussian elimination. Doing so we can start by writing out the matrix of the coefficients, and the solutions ( - 5 and - 2 ) --- ( 1 )

\begin{bmatrix}-4&-5&|&-5\\ -6&-8&|&-2\end{bmatrix}

Now let's begin by canceling the leading coefficient in each row, reaching row echelon form, as we desire --- ( 2 )

Row Echelon Form :

\begin{pmatrix}1\:&\:\cdots \:&\:b\:\\ 0\:&\ddots \:&\:\vdots \\ 0\:&\:0\:&\:1\end{pmatrix}

Step # 1 : Swap the first and second matrix rows,

\begin{pmatrix}-6&-8&-2\\ -4&-5&-5\end{pmatrix}

Step # 2 : Cancel leading coefficient in row 2 through R_2\:\leftarrow \:R_2-\frac{2}{3}\cdot \:R_1,

\begin{pmatrix}-6&-8&-2\\ 0&\frac{1}{3}&-\frac{11}{3}\end{pmatrix}

Now we can continue canceling the leading coefficient in each row, and finally reach the following matrix.

\begin{bmatrix}1&0&|&15\\ 0&1&|&-11\end{bmatrix}

As you can see our solution is x = 15, y = - 11 or (15, - 11).

4 0
3 years ago
REALLY NEED MATH MIDPOINT STUFF HELP
elena-14-01-66 [18.8K]
The answer to this question would be: (6.5 , 8.5)

To answer this question, you need to determine the x and y distance of both point. From A point the distance would be: 
X distance= 14-4= 10
Y distance= 10-8= 2

Making it into 1:3 ratio means that dividing the line into 4 parts then take 1 part from the point A, or 3 part from point B. From A point the distance would be 1/4 total distance
The location would be:
X= 4 + (10*1/4)= 6.5
Y= 8+ (2*1/4)= 8.5
(6.5 , 8.5)
4 0
3 years ago
Read 2 more answers
??????????????????FAST HELP PLZ
Irina18 [472]

Answer:

y =  \frac{2}{3} x - 2 \\

8 0
2 years ago
erics cell phone service costs $40.00 a month for unlimited calls. he also pays $0.02 for each text message he sends. what equat
KatRina [158]

Answer:

40.021

Step-by-step explanation:

Unlimited calls = $40

Text message = $0.021

NOTE:There is a difference between the value you gave for cost of text messages in the question and the values given in the group of answers. I will use $0.021 for cost of text messages since it is common to all answer choices.

Total cost = Cost of unlimited calls + cost of text messages

C = $40 + $0.021

= $40.021

Therefore, the equation which represent the total cost in dollars for a month is 40.021

A. 40.021

3 0
2 years ago
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