For a snack, Sameer ate a plum with 32 calories and several strawberries with 4 calories each. If the total of calories in Sameer’s snack was 56, how many strawberries did he eat?

Answer:

The answer is x > -7

Step-by-step explanation:

The starting out equation is:

-8(x - 3) + 5x < 9(x + 12)

Once you've got your equation down, you have to remove the parentheses by doing distributive property, and multiplying the -8 by x and -3, [-8(x-3)] and the 9 by x and 12, [9(x + 12)]

Once you do that, you have something like this:

-8x + 24 + 5x < 9x + 108

Then you have to add like terms. That means adding -8x to the positive 5x, and only that since thats the only possible way.

-3x + 24 < 9x + 108

When that's over, you have to move the variable(in my case, 9x) to the left-hand side and change its sign:

-3x -9x + 24 < 108

You see that instead of positive 9x, like it was, it's now negative 9x since we changed its location.

And now do the same to the constant (in my case, 24) to the right-hand side. make sure to reverse its sign aswell, so now it's a negative 24. Now it looks a bit like this:

-3x -9x < 108 -24

Collect like terms (subtracting -9x by -3x, subtracting 108 by -24)

-12x < 84

Now that we isolated the variable, we have to divide it by -12.

KEEP IN MIND!!

When doing work like this, at some point you have to divide the variable by itself, and same thing to the other side. When the variable is a positive number and you're dividing by a positive number, DONT REVERSE THE GREATER/LESS (whatever you have) SIGN!!

When you are dividing by a negative number,

REVERSE THE SIGN!!

I always forgot this and got it wrong back then!!

Back to the lesson, itll look like this when dividing

-12x < 84

------ ------

-12x -12x

Once you divide it, you'll get this

x > -7

I hope this helped!

Answer: 100/400

Step-by-step explanation:

Answer:12x+2

Step-by-step explanation: the first step is to put g of x in f of x like this

3(4x)+2

Answer:1y+7x

Step-by-step explanation:

Answer:

4x

Step-by-step explanation:

11 y - 2 x - 10 y - y + 6 x . (Subtract all the y's first then the x's)

4x

Answer: 2(2x + 3)(x - 6)

Step-by-step explanation: For any factoring problem you do, your first

task will be to determine if a GCF exists for the original polynomial.

If a GCF does exist, it must be factored out as the first step to the problem.

In the problem you see here, the 3 terms in

the original polynomial have a GCF of 2.

So a 2 must be factored out as your first step.

This leaves you with 2(2x² - 9x - 18).

This does not make your life a whole lot easier however

because you still have a coefficient on the x squared term.

Factoring from here, you get 2(2x + 3)(x - 6).

Answer:

2(x - 6)(2x + 3)

Step-by-step explanation:

There are a few steps to factoring depending on the polynomial.

Step 1. Factor our a common factor if possible.

Every term is divisible by 2, so factor out a 2.

4x^2 - 18x - 36 =

= 2(2x^2 - 9x - 18)

Step 2. We need to factor the quadratic trinomial.

Now we have a quadratic trinomial, in which the x^2 term is not plain x^2, but it has a coefficient of 2.

Our polynomial is of the form ax^2 + bx + c, with "a" not equal to 1.

We have 2x^2 - 9x - 18, so we have a = 2, b = -9, c = -18.

We can try guessing, but instead, I will use the "ac" method.

Step A. Multiply coefficients ac:

ac = 2(-18) = -36

Step B. Now we need two numbers that add to b and multiply to ac.

We need two numbers that add to -9 and multiply to -36.

The numbers are -12 and 3 since (-12)(3) = -36, and -12 + 3 = -9.

We now break up the middle term, -9x, using these two numbers.

= 2(2x^2 - 12x + 3x - 18)

Now we factor by grouping. Factor a common factor out of the first two terms, and factor a common factor out of the last two terms.

= 2[2x(x - 6) + 3(x - 6)]

x - 6 is a common factor inside the brackets, so we factor it out inside the brackets.

= 2[(x - 6)(2x + 3)]

= 2(x - 6)(2x + 3)

Answer:

The answer would be D. 12, 15, and 25.

Step-by-step explanation:

The first two sides, sum must be larger than the third side.

so 12+15=27 which is larger than 25

The correct answer for  the side lengths of a triangle is D. 12, 15, 25.

The sides of a triangle rule asserts that the sum of the lengths of any two sides of a traingle has to be greater than the length of the third side.

If a,b,c are the sides of the triangle then,

a + b > c

Now in the given question let us suppose a,b,c be the length of the sides

A. 2, 3, 6

Here, a = 2, b= 3 and c = 6

Applying sides of a triangle rule,

a + b > c

⇒2 + 3=  5 which is less than 6

Here, a + b <c

Therefore , these are not the lengths of triangle.

B. 9, 10, 19

Here, a = 9, b= 10 and c = 19

Applying sides of a triangle rule,

a + b > c

⇒9 + 9=  18 which is less than 19

Here, a + b <c

Therefore , these are not the lengths of triangle.

C. 5, 8, 15

Here, a = 5, b= 8 and c = 15

Applying sides of a triangle rule,

a + b > c

⇒5 + 8 =  12 which is less than 15

Here, a + b <c

Therefore , these are not the lengths of triangle.

D. 12, 15, 25

Here, a = 12, b= 15 and c = 25

Applying sides of a triangle rule,

a + b > c

⇒12 + 15 = 27 which is greater than 25

Here, a + b > c

Therefore , these are the lengths of triangle.

Hence,The correct answer for  the side lengths of a triangle is D. 12, 15, 25.

More about length of the side of triangle rule :

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Answer:

C) The additive inverse is positive, while the multiplicative inverse is negative.

Step-by-step explanation:

The answer is C on Edge.   (VERIFIED Edge Answer)

Make sure to click "thanks" and rate this answer to let others know this is the correct answer for this question.  

Edge Tip: Answers do not mix or change.

Answer:

first day = 5.05mm = 0.505cm

second day = 9.55mm = 0.955cm

Step-by-step explanation:

Let x represent first day

Let y represent second day

x + y = 14.6

x = y - 4.5

(y - 4.5) + y = 14.6

2y - 4.5 = 14.6

2y = 14.6 + 4.5

2y = 19.1

Divide both sides by coefficient of y which is 2

y = 9.55

Substituting value of y in the equation x + y = 14.6

x + 9.55 = 14.6

x = 14.6 - 9.55

x = 5.05

To convert the values in mm to cm you divide them by 10 since 1cm=10mm

Answer:

1.74x10^7

Step-by-step explanation:

you count how many times you moved the decimal to the right

can i have brainliest? i only need 2 more

Answer:

1.74x10^7

Step-by-step explanation:

I think it is done like this but I am not sure.

Simplifying

9 + -4(2x + -1) = 45

Reorder the terms:

9 + -4(-1 + 2x) = 45

9 + (-1 * -4 + 2x * -4) = 45

9 + (4 + -8x) = 45

Combine like terms: 9 + 4 = 13

13 + -8x = 45

Solving

13 + -8x = 45

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-13' to each side of the equation.

13 + -13 + -8x = 45 + -13

Combine like terms: 13 + -13 = 0

0 + -8x = 45 + -13

-8x = 45 + -13

Combine like terms: 45 + -13 = 32

-8x = 32

Divide each side by '-8'.

x = -4

Simplifying

x = -4

The solution to the equation 9 - 4(2x - 1) = 45 is x = -4.

We have,

Distribute the -4 to the terms inside the parentheses:

9 - 4(2x - 1) = 45

9 - 8x + 4 = 45

Combine like terms:

13 - 8x = 45

Move the constant term to the other side of the equation by subtracting 13 from both sides:

13 - 8x - 13 = 45 - 13

-8x = 32

Divide both sides of the equation by -8 to isolate the variable:

(-8x) / (-8) = 32 / (-8)

x = -4

Therefore,

The solution to the equation 9 - 4(2x - 1) = 45 is x = -4.

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Answer:

AC=-160

BC is the midpoint of AC meaning half of AC

-160/2=-80

Answer:

B, C

Step-by-step explanation:

Amy should have flip the numerator and the denominator of the second fraction before multiplying. She also used addition instead of multiplication for the numerators.

Answer:

B C

Step-by-step explanation:

Answer:

3000

Step-by-step explanation:

1000 + 2000 = 3000

Step-by-step explanation:

sum1,000+2,000=3000.is yoir answer

Answer: X= 6

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other.

First, multiply 8 to both sides:

(x/8)8 = (3/4)8

x = (3 * 8)/4

First, divide 8 with 4:

x = 3 * (8/4) = 3 * 2

Finally, simplify by multiplying:

x = 3 * 2

x = 6

x = 6 is your answer.

~

Answer:

99

Step-by-step explanation:

11 and 9 are the smallest dimensions. Multiply them and you get 99.

Answer:

−5<c<1

Step-by-step explanation:

Let's solve your inequality step-by-step.

7<12+c<13

7<c+12<13(Simplify all parts of the inequality)

7+−12<c+12+−12<13+−12(Add -12 to all parts)

−5<c<1

Answer:

c∈[-5,1]

Step-by-step explanation:

12+c>7

12+c<13

c>-5

c<1

I think it's help u so follow me and brainlist me if it's wrong then tell me

Answer:

62

Step-by-step explanation:

12-3=9

5x9=45

45+17=62

Answer:

f(12)= 62

Step-by-step explanation:

Plug 12 into x.

5(12-3)+17

45+17

= 62

Answer:

32, 3125

Step-by-step explanation:

2^5=32 and 5^5=3125

Answer:

-7, 14, 21, and 42

Step-by-step explanation:

7•-1=-7

7•2=14

7•3=21

7•6=42

Steps to solve:

3 - 4y = 19

~Subtract 3 to both sides

-4y = 16

~Divide -4 to both sides

y = -4

Best of Luck!

Answer:

4x^2 + 3.

Step-by-step explanation:

f o g(x) = f(4x^2 + 4)

= (4x^2 + 4) - 1

= 4x^2 + 3.

Answer:

the answer is (A) 14.13 cu. in

Step-by-step explanation:

Is A 14.13

explanation divide by to get radius then use the formula   4/3πr to the third

Answer:

Point C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. 12a = 4

    12a/12 = 4/12

    a = 1/3

2.  2c = 7(8/7)

    2c = 8

     c = 4

3. 5h = 6(-3/8)

    5h = -18/8

    5h = -9/4

    20h = -9

      h = -9/20

4. -27m = -4

    m = 4/27

5. -42p = 21

    p = -21/24 = -1/2

6. -7x = 4/7

    x = -4

7. 9n = -40/9

  n = -40

8. 15g = -24

  g = -24/15 = -8/5

9. 4s = 56

   s = 14

10 -5t = -9(2/3)

     -5t = -6

    t = 6/5    

Answer:

N$  612.5

Step by step explaination:

Given,

Principal or'P'=N$2500

Time or'n'=3 years & 6 months or 3.5 years

Rate of profit or 'r'=7% or 7/100

Profit or 'I'=?

_____________________________________

We know,

I=P*n*r

I=2500*3.5*7/100

I=612.5

So,simple interest is N$  612.5.

Answer:

247 = 144 + (195 ⋅ v)

Answer:

Step-by-step explanation:

3. [tex]\frac{3}{16}=\frac{x}{12}[/tex]

   36 = 16x

   9 = 4x

   x = [tex]\frac{9}{4}[/tex]

4. [tex]\frac{x}{120}=\frac{1}{24}[/tex]

   x = [tex]\frac{120}{24}[/tex]

   x = 5

5. [tex]\frac{a-2}{9}=\frac{2}{3}[/tex]

   3a - 6 = 18

   3a = 24

   a = 8

6. [tex]\frac{b+4}{5}=\frac{7}{4}[/tex]

  4b + 16 = 35

  4b = 19

   b = [tex]\frac{19}{4}[/tex]

7. [tex]\frac{3}{7}=\frac{c+4}{35}[/tex]

  105 = 7c + 28

  7c = 105 - 28

   7c = 77

   c = 11

8. [tex]\frac{2c}{11}=\frac{c-3}{4}[/tex]

   8c = 11c - 33

   11c - 8c = 33

    3c = 33

    c = 11

9. [tex]\frac{7}{k-2}=\frac{5}{8}[/tex]

   56 = 5k - 10

   5k = 66

    k = [tex]\frac{66}{5}[/tex]

12. [tex]\frac{c+1}{c-2}=\frac{4}{7}[/tex]

    7c + 7 = 4c - 8

    7c - 4c = -15

    3c = -15

    c = -5

13. [tex]\frac{v}{4}= \frac{7}{8}[/tex]

    v = [tex]\frac{7}{2}[/tex]

14. [tex]\frac{9}{14}=\frac{3}{n}[/tex]

    9n = 42

    n = [tex]\frac{42}{9}[/tex]

    n = [tex]\frac{14}{3}[/tex]

15. [tex]\frac{b+13}{2}=\frac{-5b}{3}[/tex]

   3b +39 = -10b

   13b = -39

    b = -3

16. [tex]\frac{3b}{b-4}=\frac{3}{7}[/tex]

    21b = 3b - 12

    21b - 3b = -12

    18b = -12

    b = -[tex]\frac{12}{18}[/tex]

    b = [tex]-\frac{2}{3}[/tex]

17. [tex]\frac{x+2}{2x-6}=\frac{3}{8}[/tex]

   8x + 16 = 6x - 18

   8x - 6x = -18 - 16

   2x = -34

    x = -17

Answer:

See below.

Step-by-step explanation:

Start with triangle ABC with side BC lying on line n.

Draw a line through point A parallel to line n, and call it line m.

Angles 1 and 3 are alternate interior angle of parallel lines and are congruent.

Angle 2 and 4 are alternate interior angles of parallel lines and are congruent.

The sum of the measures of angles angles 1, BAC, and 2 is 180 since they lie on a line.

m<1 + m<BAC + m<2 = 180

Now we substitute in the angles we know are congruent by alternate interior angles (written above).

m<3 + m<BAC + m<4 = 180