What property was used in step 1 to arrive at step 2?

Step 1: 5 (x minus 7) = 55. Step 2: 5 x minus 35 = 55. Step 3: 5 x = 90. Step 4: x = 18.

Answers

Answer 1

Answer:

Distributive Property

Step-by-step explanation:

5(x - 7) = 55   ⇒   5x - 35 = 55

The 5 was distributed in 5(x-7) to get 5x - 35.


Related Questions

write an equation in slope-intercept form of the line that passes through the points (-5,-3) and (1,9)

Answers

Answer:

y = 2x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 5, - 3 ) and (x₂, y₂ ) = (1, 9 )

m = [tex]\frac{9-(-3)}{1-(-5)}[/tex] = [tex]\frac{9+3}{1+5}[/tex] = [tex]\frac{12}{6}[/tex] = 2 , then

y = 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, 9 ) , then

9 = 2 + c ⇒ c = 9 - 2 = 7

y = 2x + 7 ← equation of line

There are 6 triangles and 4 circles. What is the
simplest ratio of circles to total shapes?

Answers

Answer:

4/10

Step-by-step explanation:

4:10

as there are 4 circles, and 10 total (6 + 4)

simplify by diving by 2.

therefore the answer is,

2:5

(I guess, this could be simplified further, but it wouldn't be a whole number).

please help me asapppp


ty :)

Answers

Answer:

C. 3

y = 3x - 4

Step-by-step explanation:

y = 3x - 2

Slope stays 3 because they are parallel.

y - 5 = 3(x - 3)

y - 5 = 3x - 9

y - 5 + 5 = 3x - 9 + 5

y = 3x - 4

Step-by-step explanation:

y= 3x-4

hopefully that is helpful

which translation vector moves every point of a preimage 4 units left and 6 units up?

Answers

(-4,6)

Hope this helped :)

What is the measure of the angle mentioned in the picture below:

In the figure below, what is the measure of
70deg
125deg
55deg
180deg

Answers

Answer:

70

Step-by-step explanation:

since the left and right sides are equal length the left and right angles are 55 degrees. and since a triangle adds up to 180 degrees

180-55-55 = 70

I think you can also use sin cos tan to solve this but this way is much easier


Daniel has 7 photo books. Each book has 5 pages with 1 photo on each page. He gets 2 more pages with 1 photo on each page.
How many total photos does Daniel have? Enter the answer in the box

Answers

Daniel has 37 photos
The answer is 37 photos
Hope this helps

Multiplied by 3/4 and then divided by 3/5 is the same as dividing by what?


Please explain step by step

Answers

We have:  x ×  [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{3}{5}[/tex] = x ×  [tex]\frac{3}{4}[/tex]  ×  [tex]\frac{5}{3}[/tex] =  x × [tex]\frac{5}{4}[/tex] = x ÷ [tex]\frac{4}{5}[/tex]

ANSWER:  E. 4/5

Ok done. Thank to me :>

(I need these answered fast and with work and explanation)
A)What is the conditional probability of being on the marching band, given that you know
the student plays a team sport? Show your work.

b. What is the probability of being on the marching band, and how is this different from part
(a)? Explain completely.

C.
Are the two events, {on the marching band) and {on a team sport} associated? Use
probabilities to explain why or why not.

Answers

Answer:

most I know I don't know and I don't want to know

Marcus has $15.00 to spend on fruit. He buys 3 mangoes and spends the rest of the money on grapes. The store charges $0.75 for each mango and $2.50 per pound for grapes. Which equation represents the number of pounds of grapes, x, Marcus bought and how many pounds of grapes did he buy?

Answers

Answer:

It equals to $13.25

Step-by-step explanation:

Find the total surface of :

Answers

Answer:

=2112cm²

Step-by-step explanation:

radius=14cm

height=10cm,

Curved surface area of cylinder=2πrh

=2×22÷7×14×10

=880cm²

Base area of cylinder=πr²

=22÷7×14×14

=616cm

Whole surface area of cylinder=2πr(r+h)

=2×22÷7×14(14+10)

=2×22÷7×14(24)

Hope this helps(srry for my bad handwriting)

Can someone help me solve this question

Answers

Answer:

Step-by-step explanation:

Choosing a white pen from box a

Solve the system by graphing. Y=2x-9 y=-2x-1

Answers

Answer:

(2,-5)

Step-by-step explanation:

See attachment

One can also solve this by calculation:

y=2x-9

y=-2x-1

-

Rearrange either equation to find x.  I'll use the first:

y=2x-9

2x = y+9

x = (y+9)/2

Now use this value of x in the second equation:

y =  -2x-1

y =-2((y+9)/2)-1

y = (-2y-18)/2)-1

y = -y -9 - 1

2y = -10

y = -5

Now use -5 for y in the rearranged equation:

y =  -2x-1

-5 =  -2x-1

-2x = -4

x = 2

Solution is (2,-5)

But the question wants a graph solution, which is also fun when you use DESMOS.

What is the equation for the line described in #9And #10?

Answers

Answer: it is definitely c. y=3x+2

Step-by-step explanation: solve the first equation and then plug in

Two forces of 100 Newtons and 25 Newtons
act concurrently on an object. These two forces
could have a resultant force of

A) 0 N
B) 50 N
C) 100 N
D) 150 N

Answers

Answer:

100 N

Step-by-step explanation:

Use Pythagorean Theorm to solve:

a2 + b2 = c2

(100)2 + (25)2 = c2

10000 + 625 = c2

10625

Take the square root

c2= 100N

Your Answer: 100 N

Question 1 of 10
In order to solve the following system of equations by addition, which of the
following could you do before adding the equations so that one variable will
be eliminated when you add them?
2x - 4y= 5
6x – 3y=10
O A. Multiply the top equation by 3 and the bottom equation by 4.
B. Multiply the top equation by-3 and the bottom equation by 2.
ООО
C. Multiply the top equation by-2.
D. Multiply the top equation by-3.

Answers

Answer:

D.

Step-by-step explanation:

Which of the following options have the same value as 2\%2%2, percent of 909090?

Answers

Answer:

2 percent equals 0.02

so we just multiply that by 909090 so

0.02*909090=18181.8

Hope This Helps!!!

A community hall is in the shape of a cuboid.
The hall is 20m long, 15m wide, and 4m high.

Answers

Answer:

The total paint cost is £380. The total tiles cost is £1800. The total cost is £2180.

Step-by-step explanation:

To know the cost, you need to calculate the area of the community hall.

Area of the ceiling/floor: 40m x 15m =  600m2

So together, their area is 1200m2.

Area of the small walls of the community hall: 15m x 3m = 45m2/each wall

Together the two walls have an area of 90m2

Area of the big walls of the community hall: 40m x 3m = 120m

Together the two big walls have an area of 240m2

So, therefore, the total area of the community hall: 1530m2

Painting:

They are going to paint the walls and the ceiling and each 10L tin covers 25m2 so:

Area of the walls and ceiling = 600m2 + 90m2 + 240m2 = 930m2

930m2 ÷ 25m2 = 37.5 tins. Since you can't have half a tin, they will need 38 10L tins.

38 x £10 = £380

Floor:

1m2 floor tiles costs £3 so 600m2 x £3 = £1800

Total:

£1800 + £380 = £2180

what is the rectangular cross hatch chart used for eye test called

Answers

It’s called an Amsler chart hope this helps :)

If sine theta almost-equals 0.3090 , what is the approximate value of csc Theta?
0.5559
1.3090
3.2362
10.4733

Answers

Step-by-step explanation:

csc(Theta) = 1/sin(Theta) = 3.2362

Answer:

C. 3.2362

Explanation:

mathematic, please answer
solve k:
8k-12=3

Answers

Step-by-step explanation:

8k - 12 = 3

8k = 3 +12

8k = 15

k = 15/8

k = 1.875

Answer:

8k-12=3

8k=3+12 [we equate the negative 12 from LHS and take it to RHS and its value becomes positive there fore 3 +12 is possible]

8k=15

k=15/8[algebraic rule of there is no sign between number and variable there is ment to be multiplication and when the multiply is taken to next sign it becomes division and becomes a denominator]

k=1.875

Figure A is a scale image of Figure B.
30
2
Figure A
25
Figure B
10
What is the value of x?

Answers

Answer:

12

Because:

30 is to 25 as x is to 10.

As an equation: 30/25 = x/10

Do this equation by: look at image

The students in Gwen's class got to choose between pizza and burgers for the celebration on
the last day of school. 28 students picked the pizza. If there are 35 students in all in Gwen's class, what percentage of the students picked the pizza?
Write your answer using a percent sign (%).

Answers

Answer:

80% of the class picked the pizza

Step-by-step explanation:

In order to find a percentage, you are supposed to divide the amount of how much someone has picked by the total amount (in this case pizza's). Here is how I got 80%,

28/35 = 0.8

0.8*100 = 80

So the answer is 80%

Ping lives at the corner of 3rd Street and 6th Avenue. Ari lives at the corner of 21st Street and 18th Avenue. There is a gym Two-thirds the distance from Ping's home to Ari's home.

x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1

y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1

Where is the gym?

9th Street and 10th Avenue
12th Street and 12th Avenue
14th Street and 12th Avenue
15th Street and 14th Avenue

Answers

Answer: (15th street, 14th Avenue)

Step-by-step explanation:

Given the following :

Ping's residence = (3rd street, 6th Avenue)

Ari's residence = (21st street, 18th Avenue)

Gym location = 2/3 the distance of Ping's residence to Ari's residence

So, distance between Ping's home to Ari's home

Distance = (21st street, 18th Avenue) - (3rd street, 6th Avenue)

Distance = (21 - 3) street, (18 - 6) avenue

Distance between ping and Ari = (18th , 12th )

Gym distance = 2/3 of distance between ping and Ari

Gym distance = 2/3 × (18), 2/3 ×(12)

Gym distance = (12, 8)

Gym location = Ping's location + gym distance

Gym location = (3rd street, 6th Avenue) + (12th street, 8th Avenue)

Gym location = (15th street, 14th Avenue)

Answer:

D

Step-by-step explanation:

cuz its right :0

Calculate the volume of cylinders with the following dimensions ( 22/7).
(b) Diameter of the base = 84 cm, height = 1.5 m​

Answers

Step-by-step explanation:

Volume of a cylinder=

[tex]\pi \: {r}^{2} h[/tex]

Radius=84÷2=42

Volume=22/7×42²×150=831 600 cm³

A 24 foot flagpole casts a 20 foot shadow of the building next to it is an 85 foot shadow find the height of the building

Answers

Answer: 102 foot / feet tall

Step-by-step explanation:

First, we have to find the unit rate . . . what is 24 divided by 20 ? 1.2/1

Second, multiply . . . what is 1.2 x 85 ? 102

( sorry if this is wrong - I forgot how to do the second part for a sec )

Write an algebraic expression that corresponds to "the opposite of a number "

Answers

Answer:

  -n

Step-by-step explanation:

If n represents "a number", then the opposite of the number is ...

  -n

__

Examples:

The opposite of -3 is -(-3) = 3. The opposite of 10 is -10.

༒Question༒


REFER TO ATTACHMENT


NONSENSE ANSWER WILL GET REPORT​

Answers

Ur answer sir :)

1) 6⁴

2) t²

3) b⁴

4) 5²× 7³

5) 2²× a²

6)a³× c⁴× d

I HOPE IT IS HELPFUL

Im trying to procrastinate so if you would please help me speed up th process. I have like 20 minutes

Answers

Answer:

1/3=0.33 barred(the threes go on infinitly)

1/6=16666 barred(the sixes go on infinitly)

1/6 as a percent is 16.66% barred(the sixes go on infinitly)

Hope This Helps!!!

Answer:

A. 0.17 (rounded)

B. 16.7%

Step-by-step explanation:

if f(x) = 2x-7 and g(x)= x2-5, find g[f(5)]

Answers

Answer:

4x-12

Step-by-step explanation:

2x-5[2x-7(5)}=2x+2x-7-5

4x-12

negative integers are added to each other

The answer is 4

1. 2(5)-7, plug in 5 into f(x)
2. The answer for f(x) is 3
3. (3)^2-5, plug in the answer of g(x)
4. Get your result!

Ashley and Christopher want to camp on the other side of a lake at point B. They are both going to kayak to the campsite from their homes. Ashley lives at point A and is kayaking from point A to point B. Christopher lives at point C and is kayaking from point C to point B. Based on the picture below, Ashley will kayak ___ miles more than Christopher. 0.5 mi, 1.5 mi, 2.5 mi, 3.0 mi. Please help!

Answers

Applying the midsegment theorem, the distant Ashley will kayak more than Christopher is: 0.5 mi

Recall:

The midsegment of a triangle joins two sides of a triangle at their midpoint.The third side is the base of the triangle.Triangles have three midsegments.Based on the midsegment theorem, the length of the midsegment = ½(third side).

The picture given shows a triangle with two midsegments: AB and BC

AB = the distance Ashley will kayak.

BC = the distance Christopher will kayak.

XY = 5 mi (base)

XZ = 6 mi (base)

Applying the midsegment theorem, find AB and BC.

AB = ½(XZ)

Substitute

AB = ½(6)

AB = 3 mi

BC = ½(XY)

Substitute

BC = ½(5)

BC = 2.5 mi

Thus, the distance Ashley will kayak more than Christopher = AB - BC

= 3 mi - 2.5 = 0.5 mi.

Therefore, applying the midsegment theorem, the distant Ashley will kayak more than Christopher is: 0.5 mi

Learn more about the midsegment theorem on:

https://brainly.com/question/12234706

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