A pile of string measures to be 4 5/6 feet long. For a project Ms. Thompson wants to cut the long piece of string into several smaller pieces. Each piece that she cuts will measure 2/3 feet. How many whole pieces can she cut from the original piece of string if each piece is 2/3 feet long?

30% = 0.30

0.30x = 12

Divide both sides by 0.30

X = 12/0.30

X = 40

Answer:

x=40

Step-by-step explanation:

30% is the same as 3/10.

-So now you have 3/10 of x = 12.

The term “of” in the equation is the same as multiplication.

-So now you have 3/10 · x = 12 (the dot is multiplication)

Multiply both sides by the reciprocal of 3/10, which is 10/3

-So now you have x=120/3, which is equal to x=40 (that’s you answer)

You can check your answer by plugging in 40 for x.

30% of 40 is indeed equal to 12.

Hope this helps and answers your question :)

Given:

The figure.

To find:

The theorems that proves triangles SRP and QRP are congruent.

Solution:

From the given figure, it is clear that in triangle SRP and QRP,

Hypotenuse of triangles : [tex]PS=PQ[/tex]             (Given)

Legs of triangles : [tex]SR=QR[/tex]             (Given)

Since, hypotenuse and one leg of first triangle is equal to the hypotenuse and corresponding leg of another triangle, therefore, both triangles are congruent by HL postulate of congruence.

[tex]\Delta SRP\cong \Delta QRP[/tex]            (HL postulate of congruence)

Therefore, the correct option is E .

Answer:

y = 2x + 2

Step-by-step explanation:

The formula is y = mx + b, and to find the slope it's y2-y1 / x2-x1, so you do 4-16 = -12 and 1-7 = -6, and -12/-6 = , so your slope is 2.

Then you use one point and put it into your equation ex: 4 = 2(1) + b and simplify to find the y-intercept (b).

Then that's your answer!

Hope this helps!

I will do number 1 only. You can then use my solution steps to do the rest.

Solve 4x + 5 > 5x − 2 for x.

4x + 5 > 5x − 2

4x - 5x > - 2 - 5

-x > -7

Dividing both sides by a negative number reverses the inequality sign. In other words, the sign > becomes < in the reply.

-x/-1 < -7/-1

x < 7

Answer: x < 7

The answer here means that whatever the value of x is for question 1, it must be less than 7.

You finish.

Answer:

expanded form:- 7+2/10+5/100

Step-by-step explanation:

Answer:

7 * 1 + 2 * 0.1 + * 5 * 0.05

P.S * is the same thing as times.

Step-by-step explanation:

Answer:

D (-2,4) because it is the point of intersection of the two graphs

Step-by-step explanation: This is the point in which both of the lines meet.

Answer:

domain= all real numbers

Range= y>=0

Step-by-step explanation:

Answer:

C - $8.75

Step-by-step explanation:

I'm pretty sure if you divide 3.75 by 3 you will get the amount of $ for a bag of soil which is around $1.25/per bag. And then if you multiple $1.25 for 7 bags you will get $8.75

Answer:

13) C

3.75/3=1.25

1.25×7=8.75

14) C

Answer:

3o  + 2a = $45 ( you can buy 9 oranges and 9 apples)

Step-by-step explanation:

First I divided 45 by 3 and I got 15 so now I know that 15 is the highest amount of oranges I can buy without going over $45. I also know that 15 cannot be an answer because I also have to buy apples.

Then I divided 45 by 2 and 22 was the highest whole number.

Now I would play trial and error BUT i know that the number for oranges have to be less that 15 and the number for apples has to be less than 22.

3 times 9 equals 27 (oranges)

45 - 27 = 18

2 times 9 equals 18 (apples)

3o+2a =$45 is the  equation in standard form modeling this situation.

Two or more expressions with an Equal sign is called as Equation.

Given that in a supermarket, each orange costs $3, and each apple costs $2.

Let o represents the number of oranges you buy

and a represent the number of apples you buy.

If you want to spend exactly $45

We have to find the equation to model this situation

3o+2a =$45

Hence, 3o+2a =$45 is the  equation in standard form modeling this situation.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Step-by-step explanation:

Answer: The answer is [tex]z=\frac{mn}{(m-n)}[/tex].

Step-by-step explanation: 1. [tex]\frac{nz+m(-z)}{mn}=1[/tex], 2.[tex]\frac{nz-mz}{mn}=1[/tex]. 3. [tex]\frac{z(m-n)}{mn}=1[/tex]

4. [tex]zn-zm=mn[/tex]

5. [tex]z(m-n)=mn[/tex]

6. [tex]\frac{z(n-m)}{n-m}=\frac{mn}{m-n}[/tex], ∴ your answer should be:

[tex]z=\frac{mn}{(m-n)}[/tex], I hoped your answer is very helpful, please mark me as brainliest, and have a happy holidays, Abhinav!!!! :D

Answer:

y=-5x+9

m=-5

b=9

y=5x-4

m=5

b= -4

y=8

m=0

b=8

Step-by-step explanation:

Answer:

1) 15x + 3y = 27 in slope-intercept form.

→y=-5x+9

→m =-5

→b =(0,9)

2) 15x − 3y = 12 in slope-intercept form.

→y =5x-4

→m =5

→b =(0,-4)

3) 2y = 16 in slope-intercept form.

→y =8

→m =0

→b =(0,8)

Answer:

110 degrees

Step-by-step explanation:

since every triangles degrees add up to 180 all you have to do is find 1 and 3. since the 4 is 150 degrees and the line always has to add up to 180 3 is 30 degrees. then we add 2 and 3 which gets us 70. then 180 - 70 which is 110 so 3 is 110.

Answer:

Step-by-step explanation:

1 metre = 0.01 hectometre

240 metre = 2.4 hectometre

Answer:

-54

Step-by-step explanation:

When you solve any equation always remember to use PEMDAS (Parentheses Exponents, Multiplication, Division, Addition and Subtraction) use also move left to right. The correct way to solve this is

2(4-16)-30

2(-12)-30

-24-30

-54

Hope this helped

Answer:

Step-by-step explanation:

Third line. "24 - (-30)" has to multiply 2 with -12, so it would be "-24" and not "24".

2(4 - 16) - (-30)

2(-12) + 30

-24 + 30 = 6

Answer:

500

hope this helps

Answer:

C. 0.625%

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

5 divided by 8 is .625

Answer:

-3-i is the correct answer.

Step-by-step explanation:

If –3 + i is a root of the polynomial function f(x), Then -3 -i must also be a root of f(x)

The root is the value where the given function will tends to zero.

If –3 + i is a root of the polynomial function f(x), Then -3 -i must also be a root of f(x)

Learn more about Roots:

https://brainly.com/question/10345879

#SPJ2

Answer:

12.25 and 12.6 per hour

Step-by-step explanation:

For number 2, you take the amount of cookies, x, and divide it by the number of hours, a, and you get x / a = 12.25 or 12.6

For number 3, you do the same as in number 2, you take the pages read, x, divided by the time, a, and get x / a = s

s = 2 and 0.5

Step-by-step explanation:

can you please translate it to english.

I can't understand your question.

Answers:

Monthly gross pay =  $7650.68

Annual gross pay = $91808.16

Explanation:

To get the monthly gross pay, you double the semi-monthly gross pay. In other words, you multiply by 2.

Once you know how much you earn per month, you multiply that by 12 to get your annual pay.

The term "gross" in financial terms means the amount of money before taxes and other fees apply. The net pay is after taxes and other fees are deducted from your paycheck. This means the net pay is going to be smaller than the gross pay.

Answer:

slope is 1/2

y intercept is (0, -92)(9,0)

Step-by-step explanation:

Answer:Jeremy's weekend work would follow the equation of the standard line. The equation of the standard line is y=mx+b. b= 0, The slope of the line is equal to m, where m according to the given problem is equal to 35. Every hour of Jeremy weekend would pay $35.

Jeremy's equation

y= 35x

m=35

Answer:

IYEs

Step-by-step explanation:

YEs

Answer:

6576

Step-by-step explanation:

Answer:

0.914

Step-by-step explanation:

0.61 + 0.004 = 0.614

0.614 + 0.3 = 0.914