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Anuta_ua [19.1K]
3 years ago
6

I will mark your answer brainliest.

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
3 0

Answer:

$4

Step-by-step explanation:

12÷4=3

7÷7=1

3+1=4

therefore she spent 4 dollars

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8) through: (-3, -2), perp. to y = x – 1<br> A) y=-5x – 1 B) y=-4x – 5<br> C) y=-x – 5 D) y=-5x – 4
nexus9112 [7]

<u>Answer:</u>

The equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.

<u>Solution:</u>

Given, line equation is y = x – 1 ⇒ x – y – 1 = 0. And a point is (-3, -2)

We have to find the line equation which is perpendicular to above given line and passing through the given point.

Now, let us find the slope of the given line equation.

\text { Slope }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-1}{-1}=1

We know that, <em>product of slopes of perpendicular lines is -1. </em>

So, 1 \times slope of perpendicular line =  -1

slope of perpendicular line = -1

Now let us write point slope form for our required line.

\mathrm{y}-\mathrm{y}_{1}=\mathrm{m}\left(\mathrm{x}-\mathrm{x}_{1}\right)

y – (-2) = -1(x – (-3))

y + 2 = -1(x + 3)

y + 2 = -x – 3

x + y + 2 + 3 = 0

x + y + 5 = 0

y = -x -5

Hence the equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.

8 0
3 years ago
Median and mean math questions
Harlamova29_29 [7]

Answer: #7 D) neither set. #6. C) the sum of the data values must be 75. #5. The 6th missing temperature must be 80 degrees

Step-by-step explanation: #7. if you eliminate 3 numbers on each side on set A, then the numbers remaining are 2 and 19. In order to find the median add the two numbers, 19+2 which equals 21. Then divide that number by 2 to find your median, or in other words find the average, 21 divided by 2 is 10.5 which is not 12.5, so that set doesn’t work. In set B eliminate 2 numbers on each side. That will leave you with 10 and 9, then again find the average of the numbers. 10+9=19, and 19 divided by 2= 9.5. So therefore neither of the sets have a median of 12.5

#6. If there are five numbers in the data set and you are finding the average to be 15, then the five values must equal 75. In order to find the average of five numbers you must first add all of your values, and then divide by five, for there are five numbers. If you add all of your numbers up it must total 75, because 75 divided by 5= 15 which is the mean. Any other total would not work.

#5. The median of the original set is 72 degrees. In order to find the missing number you need to do some check and guess. Take the original median and add a number relatively close to the other numbers, for example 75, then add the two numbers together, 72+75=147. Then divide that by two, 147 divided by 2= 73.5 which is not the correct median number, its too low, so experiment with higher numbers and repeat the same process until you find a number that, if added to 72, totaled, and then divided by 2 equals 76.

I really hope this helped :)

7 0
3 years ago
Help please with this question
choli [55]

Answer:

They lose about 2.79% in purchasing power.

Step-by-step explanation:

Whenever you're dealing with purchasing power and inflation, you need to carefully define what the reference is for any changes you might be talking about. Here, we take <em>purchasing power at the beginning of the year</em> as the reference. Since we don't know when the 6% year occurred relative to the year in which the saving balance was $200,000, we choose to deal primarily with percentages, rather than dollar amounts.

Each day, the account value is multiplied by (1 + 0.03/365), so at the end of the year the value is multiplied by about

... (1 +0.03/365)^365 ≈ 1.03045326

Something that had a cost of 1 at the beginning of the year will have a cost of 1.06 at the end of the year. A savings account value of 1 at the beginning of the year would purchase one whole item. At the end of the year, the value of the savings account will purchase ...

... 1.03045326 / 1.06 ≈ 0.9721 . . . items

That is, the loss of purchasing power is about ...

... 1 - 0.9721 = 2.79%

_____

If the account value is $200,000 at the beginning of the year in question, then the purchasing power <em>normalized to what it was at the beginning of the year</em> is now $194,425.14, about $5,574.85 less.

7 0
3 years ago
Since f is parallel to line g, use the diagram to the right right to answer the following question (I need help with problem D a
Snezhnost [94]

Given,

The line f and g are parallel lines.

a)The measure of angle 2 is 117 degree.

By exterior atlernate angle property,

\begin{gathered} \angle2=\angle7 \\ \angle7=117^{\circ} \end{gathered}

The measure of angle 7 is 117 degree.

b)The measure of angle 4 is 68 degree.

By sum of adjacent angle between two parallel lines property,

\begin{gathered} \angle4+\angle6=180^{\circ} \\ \angle6=180^{\circ}-68^{\circ} \\ \angle6=112^{\circ} \end{gathered}

The measure of angle 6 is 112 degree.

c)The measure of angle 5 is 32 degree.

By alternate interior angle property,

\begin{gathered} \angle4=\angle5^{} \\ \angle4=32^{\circ} \end{gathered}

The measure of angle 4 is 32 degree.

d)The measure of angle 7 is 121 degree.

By corresponding angle property,

\begin{gathered} \angle7=\angle3^{} \\ \angle3=121^{\circ} \end{gathered}

The measure of angle 3 is 121 degree.

3 0
1 year ago
The mean per capita consumption of milk per year is 133 liters with a variance of 576. If a sample of 195 people is randomly sel
Valentin [98]

Answer:

Good Luck!

Step-by-step explanation:

5 0
3 years ago
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