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3 years ago

Please help. I’ll mark you as brainliest if correct!

Mathematics

1 answer:

sesenic [268]3 years ago

5 0

Answer:

Quantity (lbs) of type 1 candy x = 8

Quantity (lbs) of type 2 candy y = 17,5

Step-by-step explanation:

Let´s call "x" quantity (in pounds) of candy type 1 in the mixture, and "y" quantity (in pounds ) of candy type 2, then according to the problem statement.

x + y = 25,5

2,20*x + 7,30*y = 5,70 * 25,5 ⇒ 2,20*x + 7,30*y = 145,35

Then we have a two equation system

x + y = 25,5 ⇒ y = 25,5 - x

2,20*x + 7,30*y = 145,35 ⇒ 2,20*x + 7,30* (25,5 - x ) = 145,35

2,20*x + 186,15 - 7,30*x = 145,35

5,1*x = 40,8

x = 40,8/5,1

x = 8 lbs

And y = 25,5 - 8

y = 17,5 lbs

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Y-1=-2(x+3) in standard form

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Answer:

2x + y + 5 = 0

Step-by-step explanation:

y − 1 = -2 (x + 3)

y − 1 = -2x − 6

2x + y + 5 = 0

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3 years ago

Given directed line segment PR, find the coordinates of Q on PR such that the ratio of PQ to QR is 2:1.

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2 years ago

5. Explain how you could use compatible numbers to estimate 245 ÷ 3. Then estimate the quotient.

sdas [7]

Answer:

Step-by-step explanation:

Compatible numbers are defined as the numbers which are very close to the numbers that they are replacing that divides evenly into each other.

In the context, we have to estimate the quotient using the compatible numbers in order to estimate 245 divided by 3.

So, estimating 245 as 240 and 3 as 30.

Here, 240 is very close to 245 and 30 is close to 3. So the quotient is the result when we divide 240 by 30 and it divides evenly into 240.

We first divide the non zero parts of each number i.e. 24 by 3 to get the first part of the estimate.

Then we add on the zero if there were left in the problem to get your estimate.

Therefore,

240 / 30 = 8

So here, the quotient is estimated as 8.

4 0

2 years ago

A photograph is reduced by a scale factor of 3/8 . If the original length of the photograph was 20 inches, what is the length of

Ksju [112]

To solve this problem you must apply the proccedure shown below:

1. You have that the following information given in the problem above: The<span> photograph is reduced by a scale factor of 3/8 and the original had a length of 20 inches,

2- Therefore you have:

length=20 inches-</span>(20 inches x 3/8)<span>
length=20 inches-7.5 inches
length=12.5 inches

3- Then, as you can see, the answer is: 12.5 inches.</span>

8 0

3 years ago

Write an equation that is perpendicular to and 3x+y=3 whose y-intercept 5. Anyone please help me, no link just explain how to do

Liula [17]

Answer:

$y = \frac{1}{3}x + 5$

Step-by-step explanation:

By definition, two lines are perpendicular if and only if their slopes are negative reciprocals of each other: $m = - \frac{1}{m_{2} }$ , or equivalently, $m_{1} * m_{2} = -1$ .

Given our linear equation 3x + y = 3 (or y = -3x + 3):

We can find the equation of the line (with a y-intercept of 5) that is perpendicular to y = -3x + 3 by determining the negative reciprocal of its slope, -3, which is $\frac{1}{3}$ .

To test whether this is correct, we can take first slope, $m_{1} = -3$ , and multiply it with the negative reciprocal slope $m_{2} = \frac{1}{3}$ :

$m_{1} * m_{2} = -1$

$-3 * \frac{1}{3} = -1$

Therefore, we came up with the correct slope for the other line, which is $\frac{1}{3}$ .

Finally, the y-intercept is given by (0, 5). Therefore, the equation of the line that is perpendicular to 3x + y = 3 is:

$y = \frac{1}{3}x + 5$

7 0

2 years ago