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3 years ago

What is the answer to vthis problem ??? 10 − 4m + 7m = m − 10

Mathematics

1 answer:

Wittaler [7]3 years ago

4 0

Answer:

Step-by-step explanation:

10 - 4m + 7m = m - 10

Simply both sides:

10 + -4m + 7m = m + -10

Combine like terms:

( -4m + 7m) + (10) = m - 10

3m + 10 = m -10

3m + 10 = m - 10

Subtarct m from both sides:

3m + 10 - m = m - 10 - m

2m + 10 = -10

Subtract 10 from both sides:

2m + 10 - 10 = -10 - 10

2m = -20

Divide both sides by the 2:

2m/2 = -20/2

m = -10

<u>Answer =====> m = -10</u>

Hope that helps : ) -P-

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8:15 or 8 to 15 would be the ratio because you compare 8 quarters to 15 coins.

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3 years ago

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A biologist has been observing a tree's height. This type of tree typically grows by 0.22 feet each month. Fifteen months into t

Lyrx [107]

Data:

x: number of months

y: tree's height

Tipical grow: 0.22

Fifteen months into the observation, the tree was 20.5 feet tall: x=15 y=20.5ft (15,20.5)

In this case the slope (m) or rate of change is the tipical grow.

m=0.22

To find the line's slope-intercep equation you use the slope (m) and the given values of x and y (15 , 20.5) in the next formula to find the y-intercept (b):

$\begin{gathered} y=mx+b \\ 20.5=0.22(15)+b \\ 20.5=3.3+b \\ 20.5-3.3=b \\ 17.2=b \end{gathered}$

Use the slope(m) and y-intercept (b) to write the equation:

$\begin{gathered} y=mx+b \\ \\ y=0.22x+17.2 \end{gathered}$ A) This line's slope-intercept equation is: y=0.22x+17.2

B) To find the height of the tree after 29 months you substitute in the equation the x for 29 and evaluate to find the y:

$\begin{gathered} y=0.22(29)+17.2 \\ y=6.38+17.2 \\ \\ y=23.58 \end{gathered}$ Then, after 29 months the tree would be 23.58 feet in height

C) In this case as you have the height and need to find the number of moths you substitute the y for 29.96feet and solve the equation for x, as follow:

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1 year ago

Write a sequence of transformation that maps quadrilateral ABCD onto quadrilateral A. B. C. D IN THE PICTURE

Mice21 [21]

Answer:

The sequence of transformation is reflected across the y-axis and translated 2 units down

Step-by-step explanation:

Lets revise some transformation

- If point (x , y) reflected across the x-axis

∴ Its image is (x , -y)

- If point (x , y) reflected across the y-axis

∴ Its image is (-x , y)

- If point (x , y) translate h units to the right

∴ Its image is (x + h , y)

- If point (x , y) translate h units to the left

∴ Its image is (x - h , y)

- If point (x , y) translate k units up

∴ Its image is (x , y + k)

- If point (x , y) translate k units down

∴ Its image is (x , y - k)

* Now lets solve the problem

∵ The vertices of figure ABCD are:

A (-1 , 3) , B (1 , 0) , C (2 , 3) , D (1 , 4)

∵ The vertices of figure A"B"C"D" are:

A" (1 , 1) , B" (-1 , -2) , C" (-2 , 1) , D" (-1 , 2)

* Lets compare between ABCD and A"B"C"D"

∵ All x-coordinates has opposite signs

-1 ⇒ 1 , 1 ⇒ -1 , 2 ⇒ -2 , 1 ⇒ -1

∴ The ABCD is reflected across the y-axis

∵ All y-coordinates subtracted by 2

3 ⇒ 1 , 0 ⇒ -2 , 3 ⇒ 1 , 4 ⇒ 2

∴ The ABCD is translated 2 units down

* The sequence of transformation is reflected across the y-axis

and translated 2 units down

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3 years ago

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Kazeer [188]

The average building height and the standard deviation for two separate cities' samples are shown. The true statements are:

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City A has a lower average height than city B.

<h3>What is average?</h3>

In daily life, an average is a number chosen to represent a group of numbers; it is often the sum of the numbers divided by the total number of numbers in the group (the arithmetic mean). The average of the integers 2, 3, 4, 7, and 9, for instance, is 5, which equals 25. An average could alternatively be another statistic like the median or mode, depending on the situation. The median is sometimes used in place of the mean since the mean would be unnaturally high if it included the personal incomes of a few billionaires. The median is the amount below which 50% of personal incomes fall and above which 50% of personal incomes rise.

To learn more about average ,visit:

brainly.com/question/15570401

#SPJ4

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1 year ago

Pls answer this question

Pavlova-9 [17]

Answer:

Question 37:

B) 21

Step-by-step explanation:

How I found the radius:

radius= 132/ 2 x π

r=132 / 6.2831853071796

r=21.0084525

Divide 132 by 6.2831853071796

π = 3.1415926535898

Note: Hope this Helps!

<em>-kiniwih426</em>

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3 years ago