what property allows you to conclude that 5x+7x=12x

Answers

Answer 1

Since both of the numbers have a variable which is x ready to be multiplied, there is no expression leading to the variable therefore you will add normally but you will need to put the missing variable which needs to be multiplied. So overall you can just add and once you get your variable you can be abe to multiply and get your final answer.

Hope this helps

Related Questions

PLEASE HELP ...... Geometry Homework, I'll give brainliest

Answers

There are a few facts we'll need to hold onto for this problem:

- Supplementary angles (two angles that form a straight angle when added) add to 180°
- The interior angles of a triangle add to 180°
- Sides opposite congruent angles in a triangle are also congruent
- Alternate interior angles are congruent when formed by a transversal through two parallel lines

With that in mind, let's get to the problem. First, what data have we been given?

Let's drop another point on the ground to the left of point T called S, so we can get all of this data together. We know that:

[tex]AB = 2.4\ mi\\\overrightarrow{ST}||\overrightarrow{AC}\\\angle{ATS}=40\textdegree\\\angle{BTS}=80\textdegree[/tex]

We don't know the measure of ∠ATB, but we do know that it shares the larger angle ∠BTS (which is 80°) with ∠ATS (which is 40°). Since ∠ATB + ∠ATS = ∠BTS, we can clearly see that ∠ATB must also be 40°, so now we have the new data that ∠ATB = 40° to work with.

Next, notice that ∠BTS and ∠CBT are alternate interior angles, and the lines they rest on, [tex]\overrightarrow{ST}[/tex] and [tex]\overrightarrow{AC}[/tex], are parallel. This implies that ∠BTS and ∠CBT are congruent, which makes ∠CBT = 80°.

∠CBT and its neighboring angle ∠ABT, when combined, form a straight angle, making them supplementary to one another. This means that ∠CBT + ∠ABT = 180°, or 80° + ∠ABT = 180°. Subtracting 80° from both sides, we see that ∠ABT = 100°.

We're almost done; we now bring our attention now to the triangle formed by the points ABT. What do we know about this triangle? We're given that one of its sides, AB, is equal to 2.4 mi; most recently, we determined that one of its angles, ∠ABT, was equal to 100°; and even earlier, we found that the second one of its angles, ∠ATB, was equal to 40°. We have two angles and a side, which, as I'm about to demonstrate, is more than enough for our purposes. If we've found the measures of two angles of triangle ABT, we can use the fact that a triangle's interior angles add to 180° to find the third angle, ∠BAT. We have:

∠ABT + ∠BTA + ∠BAT = 180°

Substituting ∠ABT and ∠BTA for the values we found for them:

100° + 40° + ∠BAT = 180°
140° + ∠BAT = 180°
∠BAT = 40°

We now know that ∠BAT and ∠BTA are congruent, which means that the triangle BTA is isoceles. This means that the sides opposite those angles will also be congruent. The side opposite ∠BTA is the line segment AB, which we know to be 2.4 mi, which means the side opposite ∠BAT, BT - the side we've been looking for - must also be 2.4 mi.

What is 6.5 c =____ fl oz

Answers

here you go :
6.5 c = 52 fl oz

hope i helped :-)

1 cup = 8 fluid ounces

6.5 cups x 8 = 52 fluid ounces

The following table shows the number of hours some high school students in two states spend surfing the Internet each week:

State A
35
36
35
34
35
38
36
36
38

State B
24
22
20
50
25
24
65
25
26

Part A: Create a five-number summary and calculate the interquartile range for the two sets of data. (6 points)

Part B: Are the box plots symmetric? Justify your answer. (4 points)

Answers

1st data set:

Minimum: 34
1st quartile: 35
Median: 36
3rd quartile: 37
Maximum: 38

Second data set:
Minimum: 20
1st quartile: 23
Median: 25
3rd quartile: 38
Maximum: 65

Graph it based on the values of the 1st and 3rd quartile. If they are both the same number away from the mean then they are symmetrical. Otherwise they are not. In this case, the first one is similar and the second one is not.

Please mark as brainiest!
Cheers

Vertex F of ΔDEF has coordinates (−3, 7). If ΔDEF is reflected over the y-axis, what are the coordinates of vertex Fʹ?

Will give brainliest

Answers

The reflection will be on the other side of the y-axis.
Its coordinates will be (3, 7).

What is the resluf of convertig 14 inches into centimeters? Remember that 1 inch =2.54 centimeters.

Answers

multiply 14 x 2.54

14 x 2.54 = 35.56 centimeters

The sum of five consecutive numbers is -20. Which is the least of these five numbers?

Answers

Since the numbers are consecutive, they can be represented by:
x, x+1, x+2, x+3, x+4

Their sum is -20 = x+x+1+x+2+x+3+x+4. Result: -20=5x+10, or 5x=-30, or x = -6.

Then the numbers are -6, -5, -4, -3 and -2. These do add up to -20, as required.

The smallest of these is -6.

Consecutive numbers means 1,2,3 or 102,103,104 etc.

2,3,4,5,6 add to 20
So -2, -3, -4, -5, -6 add to -20

-6 is the least of the 5 consecutive numbers which sum to-20

A number is subtracted from 7, then multiplied by 3. The answer is half the original number. What is the number?

2
2.8
6
6.83
8.4

Answers

The answer is 2 because 2(3)= 6, and 7-6= 1. And 1 is half of the original, which is 2!

If seven pencils cost $.84 find the cost of 10 pencils

Answers

Salutations!

If seven pencils cost $.84 find the cost of 10 pencils?

Lets solve this!

To solve this question, you need to first divide .84 ÷ 7 which gives you the answer 0.12. Then multiply 0.12 with 10 which gives you the cost of 10 pencils. 0.12 is the cost of only one pencil.

Lets forms this into statements ---

Cost of 7 pencils = $ .84

Cost of 1 pencil = $ 0.12

Cost of 10 pencil equals = .84 ÷ 7 = 0.12

= 0.12 × 10 = 1.2

Cost of 10 pencils is $1.2

Hope I helped (:

Have a great day!

Final answer:

To calculate the cost of 10 pencils when seven pencils cost $0.84, you find the price per pencil by dividing $0.84 by 7, which equals $0.12 per pencil. Then, multiply $0.12 by 10 to get the total cost of 10 pencils, which is $1.20.

Explanation:

To answer the question, we first need to find the cost of one pencil. Since seven pencils cost $0.84, we can divide that amount by seven to get the cost of one pencil.

Here is the calculation:

Cost of seven pencils = $0.84

Cost of one pencil = $0.84 ÷ 7

Cost of one pencil = $0.12

Now that we know the cost of one pencil, we can find the cost of 10 pencils by multiplying this amount by 10.

Here is the calculation:

Cost of 10 pencils = $0.12 × 10

Cost of 10 pencils = $1.20Therefore, the cost of 10 pencils is $1.20.

Solve the equation. What is the value of x? x-6.8=356.3

Answers

the answer is 363.1 i used a calculater to find the answer. so 356.3+ 6.8 = 363.1 so x=363.1

To solve the equation x - 6.8 = 356.3, add 6.8 to both sides to isolate x, resulting in x = 363.1.

To solve the equation x - 6.8 = 356.3, we need to isolate the variable x. To do this, we can add 6.8 to both sides of the equation, effectively moving the 6.8 from the left side to the right.

Step-by-step:

Add 6.8 to both sides: x - 6.8 + 6.8 = 356.3 + 6.8Simplify both sides: x = 363.1

The value of x is 363.1.

Equation of the tangent line

Answers

Find the eqn. of the tangent line to the curve of f(x) = x^2 + 5x -5 at (0,-5).

Differentiate f(x) to obtain an expression for the derivative (slope of the tangent line):

f '(x) = 2x + 5

Subst. 0 for x here: f '(0) = 2(0) + 5 = 5 (at the point (0, -5))

Use the point-slope equation of a str. line to find the eqn of the tan. line:

y-k = m(x-h), where (h,k) is a point on the line and m is the slope:

y - [-5] = 5(x-0), or y+5 = 5x. Then y = 5x - 5 is the eqn. of the TL to the given curve at (0,-5).

Ms. Zab gave a group of five students a total of 18.75 liters of water for a science experiment. If each student in the group used the same amount of water for their experiment, how much water did each student use?

Answers

D. 3,750 mL
Because you have to convert liters to milliliters

A school collected x food items and divided them equally among 6 charities. Each charity received 250 items. How many items did the school collect?

Answers

The school collected 1500 cans

1,500 you just have to multiply 250 times 6. since each charity received 250 items and there are 6 charities. Don't know if i explained it right but the answer is 1,500

True or False: The sum of all the angles around a point is 180°.

Answers

this statement is false
Hope this helps

that statement will be false

a road sign casts a shadow 14 meters long while a nearby tree casts a shadow 27.8 meters long. if the road sign in 3.5 meters high how tall is the tree

Answers

The tree is about 6.95 meters tall.

The height of the tree is 6.95 m

What are similar triangles?

Two triangles are said to be similar triangles if their corresponding sides are in equal ratio and corresponding angles are congruent.

Given that, a road sign casts a shadow 14 meters long while a nearby tree casts a shadow 27.8 meters long and the road sign in 3.5 meters

Since, both the figures will be the similar triangles,

Then, by definition of similar triangles,

Therefore,

Let the height of the tree be x,

3.5 / 14 = x / 27.8

x = 6.95

Hence, the height of the tree is 6.95 m

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How many times smaller is 3 × 10-7 than 6 × 10-6?

Answers

3*10-7=23
6*10-6=54
it is 2.35 times smaller.

Joe bought 5.8 pounds of grapes to have as a snack with his 10 friends.If he shares his grapes evenly,how many pounds of grapes will each of his friends get?

Answers

Divide 5.8 by 10. Answer is .58 pound

Answer: Each friend will get 0.527 pound of grapes.

Step-by-step explanation:

We are given that Joe bought 5.8 pounds of grapes to have as a snack with his 10 friends.

Total persons including Joe = 10+1= 11

If he shares his grapes evenly, then by division operation , we have

Number of pounds of grapes will each of his friends get will be

[tex]5.8\div11\approx0.527[/tex] pounds

Therefore, each friend will get 0.527 pounds of grapes.

Express as decimal numerals one and three hundred twenty four thousandths

Answers

The answer would be 1.324

One and three hundred twenty four thousandths expressed as a decimal numeral is [tex]1.324[/tex].

To express "one and three hundred twenty four thousandths" as a decimal numeral, follow these steps:

Understand the components:

• "One" represents the whole number part.

• "Three hundred twenty four thousandths" represents the fractional part.

Express the whole number part as a decimal:

• The whole number "one" is simply [tex]1[/tex].

Convert the fractional part to a decimal:

• "Three hundred twenty four thousandths" means 324 out of 1000, which can be written as the fraction [tex]\frac{324}{1000}[/tex].

• To convert [tex]\frac{324}{1000}[/tex] to a decimal, divide 324 by 1000. This gives us [tex]0.324[/tex].

Combine the whole number and the fractional part:

• Add the whole number part [tex]1[/tex] to the fractional part [tex]0.324[/tex]. This results in [tex]1 + 0.324 = 1.324[/tex].

If the sun approximately 1.5 * 10/11 meters from Earth how long does it take for light to reach earth

Answers

The sun is 1.5*10^11 METERS from the Earth. In that case it takes approximately 8.3 minutes for sunlight to reach Earth.
t=(1.5*10^11/3.0*10^8)/60=8.33 minutes
If you did want a hypothetical that puts the Earth at 1.5*10^11 kilometers from the sun, then it would take 8333.3 minutes for the sunlight to reach the "Earth's" surface.
t=(1.5*10^14/3.0*10^8)/60=8333.3 minute

Answer:

500

Step-by-step explanation:

Acellus

If y= 3x - 5 find the value of y when x = -1

Answers

3 times -1 is -3. -3 - 5 is -8 so -8 is the answer.

y= 3(-1) -5
y= -3 -5
the answer is y= -8

Please help, need asap

Answers

For the first option, since when x is going down (to the left) the function is going up, it's not approaching 0. For the second option, since when x is going up (to the right) it's going up, it's not approaching negative infinity (negative infinity is all the way down). For the third one, since when x is going down the y values are climbing, we can assume that the function's values go to positive infinity. For the last one, since when x=0 y=0, when x=0 the function does not go to infinity

Alex has 175 baseball cards.Rodney has 3 times as many baseball cards as Alex.How many fewer cards does Alex have than Rodney?

Answers

Alex = 175 baseball cards

Rodney = 175 * 3

Rodney = 525

Rodney - Alex = 525 - 175 = 350

Alex has 350 less cards than Rodney

The difference between Rodney's and Alex's baseball cards is 350.

Alex has 350 fewer baseball cards than Rodney.

What is subtraction?

Subtracting means to take away from a group or a number of things.

When we subtract, the number of things in the group reduces or becomes less.

We have,

The number of baseball cards Alex has:

= 175

The number of baseball cards Rodney has:

= 3 x 175

= 525

We need to find out how much Alex's cards are fewer than Rodney's cards so we find the difference between the number of cards between them.

The difference between Rodney's and Alex's baseball cards:

= 525 - 175

= 350

Thus Alex has 350 fewer baseball cards than Rodney.

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If Amanda walks at an average speed of 2.72 miles per hour, how long will it take her to walk 6.8 miles?

Answers

it is 2.5
hope this helped

the height of a tree was 8 feet. after a year, tree's height increased by 25%. use a bar diagram to find the new height of the tree?

Answers

8×.25=2
8-2=6
so what you would do is make a bar graph where the y axis would be years and the x axis being height

Simplify .4 ^ square root of 6
-----------------------------
5 ^ square root of 6

Answers

Simplified the answer is in decimal form 0.00000026.

4^√6 / 5^√6

0.5789

hope that helps, God bless!

2 please answer this question

Answers

B. End of the reconstruction.

End of Reconstruction, lot of it is him winning by one electoral vote.

For every 240 days of milking, cow's milk production decreases by 2.

Which shows the average change in cow's production?

A. -120 gallons per day
B. - (1/120) gallons per day
C. 1/20 gallons per day.
D. 120 gallons per day.

Answers

It's B. 1/120 gallons per day

The solution is Option B.

The slope / average change in cow's production is m = - 1/120 gallons per day

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of the equation A is

For every 240 days of milking, cow's milk production decreases by 2

So , the value of y = 2 gallons

The value of x = 240 days

Now , the slope of the equation is given as

Slope m = y/x

And , The slope of a line is a measure of its steepness, slope is calculated as "rise over run" or change in y divided by change in x

Substituting the values in the equation , we get

Slope m = 2/240

Slope m = 1/120

Since the cow's milk production decreases by 2 , the slope will be negative

So , slope m = -1/120 gallons / day

Hence , the average change in cow's production is -1/120 gallons / day

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Need help asap! Need to find the value of x

Answers

X-45+x+x-45+x-45+x=540, x=135

uvghvghb mb bm nk bjnjbkjbkbk khbh khbhk h b jbn h jhb

74=53-7x I have to solve for x and havent quite grasped the concept of algebra

Answers

If 74 = 53-7 • x you have to figure out the rest of the problem by working backward.
53 - 7 = 46
So you have to divide 74 and 46 to get x.
74/46 = 1.6086
You then multiply 1.6086 and 46 which is 73.995 which rounds to 74.
53-7 = 46; 74/46 = 1.6086; 1.6086 • 46 = 74

Hope this helped, if you need it explained more just ask!! :)

What’s 28.2 rounded to the nearest tenth

Answers

It's already rounded to the nearest tenth

28.2 to the nearest tenth is 28.2

which coin has a diameter with a 5 in the hundredths place?

U.S Coins
________________________________
Penny | 0.750 |
________________________________|
Nickle | 0.835 |
________________________________|
Dime | |
________________________________|
Quater | 0.955 |
________________________________|
Half Dollar | 1.205 |
________________________________|

Answers

It would be both the penny and the quarter.

The hundredth place would be the third one from the left.

_._ _ _

So therefore the quarter and penny both have a five in that spot.

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