Translate the sentence into an equation.
Two times the sum of a number and 4 equals 9.
Use the variable y for the unknown number.

Answer:

you would use 3/4 of a gallon per room, so you would multiply 3/4 x 4., which equals 3 gallons

Answer: 10.5 small boxes

Step-by-step explanation:

Answer:

Step-by-step explanation:

9 a)

b)

c)

10 a)

b)

c)

Answer:

The answer is 76

Step-by-step explanation:

qp - 8m - m + 1 - m; m = -3, p = 9, and q = 5

(5)(9) - 8(-3) - (-3) + 1 - (-3)

45 + 24 + 3 + 1 + 3 = 76

Thus, The answer is 76

-TheUnknownScientist 72

9514 1404 393

Answer:

  (b)  (correct choice is marked)

Step-by-step explanation:

The expression can be evaluated according to the Order of Operations and the rules of exponents.

  (2^3)^-2 = 8^-2 = 1/8^2 = 1/64

__

The applicable rule of exponents is ...

  a^-b = 1/a^b

Answer:

The correct answer choice is option b. 1/64

Step-by-step explanation:

(2^3)^-2

= 2^3(^-2)

= 2^-6

= 1/2^6

= 1/64

Answer:

The answer is D

Step-by-step explanation:

-7.6+4.17= -3.43x

3.54-1.32= 2.22

Answer:

x = 7

Step-by-step explanation:

2x = 16 - 2

2x = 14

x = 14 / 2

x = 7

Answer:

[tex]\sf\longmapsto \: x = 7[/tex]

Step-by-step explanation:

[tex]\sf\longmapsto \: 2x = 16 - 2[/tex]

[tex]\sf\longmapsto \: 2x = 14[/tex]

[tex]\sf\longmapsto \: x = \frac{14}{2} [/tex]

[tex]\sf\longmapsto \: x = 7[/tex]

Answer:

Mandy is making a bouqet of flowers. She goes to

Answer:

possible flower combinations can she choose from?

Step-by-step explanation:

possible flower combinations can she choose from?

Answer:

NM

Step-by-step explanation:

The hypotenuse is always the longest side.

Explanation:

For any triangle, the longest side is always opposite the largest angle.

Answer:

$7.10

Step-by-step explanation:

1 bar = $1.29

10 bars = 10 x $1.29 = $12.90

Change received = $20 - $12.90 = $7.10

Answer:

7.1

Step-by-step explanation:

1 twix bar = $1.29

10 twix bar = $12.9

change = 20 - 12.9

= $7.1

Answer:

a) 3.5metres

b) 34metres

Answer:

12

10

Step-by-step explanation:

Answer:

(x+6)

Step-by-step explanation: remember gemdas

Groups

Exponents

Multipy

Divide

Add

Ssubtract

9514 1404 393

Answer:

  2 liters

Step-by-step explanation:

The applicable proportion can be written ...

   amount/percentage = 1260 mL/63% = x/100%

  2000 mL = x = 2 liters

The full carton held 2 liters of milk.

Answer:

1 hour

Step-by-step explanation:

1/2 hour:1/2 pool

1/2x2 hour:1/2x2 pool

1 hour: 1pool

Answer:

A

Step-by-step explanation:

because the numerator is less than denometer

Answer:

The answer is A

Explaination

for a fractions to be proper the denominator must be greater than the numerator

5=numerator

8= denominator

Answer:

y=-2/3x+3

Step-by-step explanation:

First, identify the slope you need for your equation. The keyword here is "parallel" so the slope you need is the same as the given slope (-2/3).

Next, use the ordered pair (6,-1); it's on the line that you need to find the equation for. Using slope-intercept form (y=mx+b), plug the -1 in for y, plug the 6 in for x, and plug in your slope of -2/3 for m. Solve for b, your y-intercept. You should get 3.

You have your slope and y-intercept now. Create your equation:

y=-2/3x+3.

Answer:

$24.16

Step-by-step explanation:

Here's the solution :

perimeter of equilateral triangle = 3 × x = 3x

perimeter of square = 4 × (x + 10)

now, according to above statement :

permission (square) = 3 × perimeter (triangle)

that is :

therefore, side of triangle = 8 cm

Answer:

Let the side of the equilateral triangle = x

so the side of the square =  x+10

The perimeter of the triangle = 3x

and the perimeter of the square = 4(x+10)

condition : the perimeter of the square is 3 times the perimeter of the triangle.

so, 4(x+10) =  3*(3x)

Step-by-step explanation:

Answer:

1. 61/100

2. 3 43/100

3. 9/1000

4. 4 7/10

5. 1 1/2

6. 13/100

7. 5 1/500

8. 21/1000

Answer:

D) 35 sq ft

Step-by-step explanation:

The options are:

A) 24 sq ft      B) 70 sq ft      C) 12 sq ft      D) 35 sq ft

So, when calculating the area of a regular rectangle or square, you need to multiply the base by the height (area=base*height)

So it is as simple as 7 multiplied by 5 which is 35 (7*5=35), so the answer is D) 35 square feet.

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The number of points at the end of second round is :

and if he loses all the 5 five points in the third round then the number of point he is left with is :

The question is an illustration of inequalities.

The inequality that represents Lashonda's amount of exercise is: [tex]\mathbf{t \ge 50}[/tex]

The given parameter is:

[tex]\mathbf{Minutes = At\ least\ 50}[/tex]

In inequality, at least means greater than or equal to.

So, the above equation becomes:

[tex]\mathbf{Minutes \ge 50}[/tex]

From the question, we understand that the number of minutes should be represented with t.

So, we have:

[tex]\mathbf{t \ge 50}[/tex]

Hence, the inequality is: [tex]\mathbf{t \ge 50}[/tex]

Read more about inequalities at:

https://brainly.com/question/15137133

f ' (0) exists if the limit,

[tex]\displaystyle \lim_{h\to0}\frac{f(0+h)-f(0)}h[/tex]

exists, and f ' (0) has the value of this limit.

In order for this limit to exist, both limits from either side of h = 0 must exist.

Suppose h < 0. Then 0 + h is also negative, so by definition of f(x) we have

f (0 + h) = ((0 + h) + 1)² = h ² + 2h + 1

Then in the limit, if h is approaching 0, it must be from below or from the left:

[tex]\displaystyle \lim_{h\to0^-}\frac{f(0+h)-f(0)}{h} = \lim_{h\to0^-}\frac{(h^2+2h+1)-1}{h} = \lim_{h\to0^-}(h+2) = 2[/tex]

Now suppose h > 0, so that 0 + h is positive and h approaches 0 from above or from the right. Then

f (0 + h) = 2 (0 + h) + 1 = 2h + 1

and

[tex]\displaystyle \lim_{h\to0^+}\frac{f(0+h)-f(0)}h = \lim_{h\to0^+}\frac{(2h+1)-1}{h} = \lim_{h\to0^+}2 = 2[/tex]

Both one-sided limits match, so f ' (0) = 2.

Answer:

both

Step-by-step explanation:

The mean and the median give the same information, so it doesn't matter which one she chooses.

Step-by-step explanation:

Given [tex]\frac{x*x^{-2} }{x^{13}}[/tex]

= [tex]\frac{x*x^{-2} }{x^{13}} = \frac{x^{-1} }{x^{13}}[/tex]

According to the Negative Exponent Rule, [tex]a^{-n} = \frac{1}{a^{n}}[/tex]

Therefore, [tex]\frac{x^{-1} }{x^{13}} = \frac{1}{x^{1}*x^{13}} = \frac{1}{x^{13+1}}= \frac{1}{x^{14}}[/tex]

In other words,  [tex]x^{-1}[/tex] became positive because of the Negative Exponent Rule. Once you bring [tex]x^{-1}[/tex] down towards the denominator, you're essentially removing its negativity and turning its exponent into a positive value. Once that takes place, then you could apply the Product Rule of Exponents onto the exponents in the denominator, where it states, [tex]a^{m}a^{n} = a^{m+n}[/tex].

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