What is (7 / 14) * (b - 6) when b is 7?

Statement #1:

Since there are 30 total pizzas then the amount of pizzas with 12 slices is 60% of 30 which is 18. Then you can multiply 18 by 12 to get the amount of slices in the large pizzas with 12 slices:

18 × 12 = 216

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

60% of the pizzas have 12 slices each. In total, there are 216 slices in these pizzas.

Statement #2

There are 12 remaining pizzas which means that 12 × 10 = 120 is the amount of slices in total of the smaller pizzas.

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

40% of the pizzas have 10 slices each. In total, there are 120 slices in these pizzas.

Statement #3

To get the total amount of pizzas you simply add both of the previous solutions:

216 + 120 = 336

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

Altogether, there is a total of 336 slices of pizza.

Answer:

[tex]$\left(-\infty, \frac{17}{3} \right]$[/tex]

Step-by-step explanation:

[tex]2x - 5 \le -x +12[/tex]

[tex]2x - 5 +5\le -x +12+5[/tex]

[tex]2x\le -x+17[/tex]

[tex]3x \le17[/tex]

[tex]$x \le \frac{17}{3} $[/tex]

We have

[tex]$\{x \in \mathbb{R}:x \le \frac{17}{3} \}$[/tex]

Interval notation:

[tex]$\left(-\infty, \frac{17}{3} \right]$[/tex]

Answer:

The ball will reach the ground when h=0.

Set the equation equal to 0.

[tex]0=-8(2 t-4)(t+1)[/tex]

[tex]t=-1,2[/tex]

Step-by-step explanation:

The height of a golf ball after it has been hit from the top of a hill can be modeled by the equation

[tex]h=-8(2 t-4)(t+1)[/tex],

where h is the height in feet and t is time in seconds.  

When ball will reach the ground the distance between ball and ground is 0. So, the ball will reach the ground when h=0.

To find the time it takes for the ball to reach the ground,  set the equation equal to 0 and use the Zero Product Property to solve for $t$.

[tex]h=-8(2 t-4)(t+1)[/tex]

[tex]\Rightarrow 0=-8(2 t-4)(t+1)[/tex]

Solve the equation using the Zero Product Property.

[tex]2t-4=0\Rightarrow t=\dfrac{4}{2}=2[/tex]

[tex]t+1=0\Rightarrow t=-1[/tex]

So, [tex]t=-1,2[/tex]

Answer:

q=9

Step-by-step explanation:

9q=81

Divide each side by 9

9q/9=81/9

q = 9

Answer:

Q=9

Step-by-step explanation:

SO BASICALLY TO REMOVE THE 9 FROM ONE SIDE WE DIVIDE BOTH SIDES OF THE EQAUTION BY 9

9Q/9=81/9

WHICH SIMPLIFIES TO

Q=9

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

              ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                             PEACE!

Answer: D is correct if it is really (5.5-3.25)w=35.25

(Without parenthesis it doesn't work)

Answer:

B) 5.5 w - 3.25 = 35.25

Step-by-step explanation:

Chad charges $5.50 per window. ( 5.50w )

Since Chad's customer brought supplies, Chad would deduct $3.25. ( - 3.25)

The customer would be charged $35.25 at the end. ( = 35.25 )

So, the total of the cost of the windows minus the discount would be $35.25.

5.50w - 3.25 = 35.25

Option B's equation would be most appropriate to solve for w.

Answer:

Isosceles Triangle

Step-by-step explanation:

An equilateral triangle is a triangle that has all of its 3 sides at an equal length. After drawing out the given points on a graph, you can clearly see that the foundation is longer than the other 2 sides. Because the 2 sides that I just mentioned happen to be of equal length, however, means that this triangle can be none other than an Isosceles triangle. If I did anything wrong here, let me know. Have a good rest of your day.  :D

Answer:

ΔPQR is an isosceles triangle.

Step-by-step explanation:

Answer:

1296 males

Step-by-step explanation:

Males in Weston: 4320*0.45 = 1944

Married Males in Weston: 1944*2/3 = 1296

Answer:

Answer is 1296 (For me if I add commas it would mark my answer wrong)

Step-by-step explanation:

Answer:

so u could write about its teeth

Step-by-step explanation:

and its legs or its scary presence or its long arms and it erupted from a haunted house

hope this helps : )

i would appreciate it if you can heart and like this answer and maybe even give it 5 stars or brainliest

The line containing the vector q can be obtained by scaling q by an arbitrary scalar t. To make this line pass through the point p, translate this line by a vector p pointing from the origin to p.

So the line we want has equation

r(t) = qt + p = (14, -8)t + (-4, 12) = (14t - 4, 12-8t)

where t is any real number.

The Vector Equation which passes through point p(-4, 12) and parallel to q(14, -8) is r(t) = (14t-4, 12-8t).

A vector equation is an equation involving a linear combination of vectors with possibly unknown coefficients.

Here, the line containing the vector q can be obtained by scaling q by an arbitrary scalar t. To make this line pass through the point p, translate this line by a vector p pointing from the origin to p.

r(t) = q*t + p

r(t) = (14, -8)t + (-4, 12)

r(t) = (14t - 4, 12-8t)

where t is any real number

Thus, the Vector Equation which passes through point p(-4, 12) and parallel to q(14, -8) is r(t) = (14t-4, 12-8t).

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Answer:

The reason Max will give is:

The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.

Step-by-step explanation:

x - 3y=1

7x+2y=7

Jerry's way of solving the equation

2y=7-7x

Divide both sides by 2

2y/2=7-7x/2

y=7-7x/2

Substitute y=7-7x/2 into (2)

7x+2y=7

7x+2(7-7x/2)=7

This is a complex way of solving the equation

Max's proposed efficient way

x - 3y=1 (1)

7x+2y=7 (2)

From (1)

x=1+3y

The reason Max will give is:

The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.

Substitute x=1+3y into (2)

7x+2y=7

7(1+3y)=7

7+21y=7

Divide through by 7

1+y=7

y=7-1

y=6

Is the efficient way that Max proposed

Answer:

A

Step-by-step explanation:

Brainliest?

Answer:

False

Step-by-step explanation:

3x2 is 6 and 6 +4 is not 0 it is ten 10 norder of operations

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Lets do this step by step.

Simplify [tex]\frac{3x - 2}{x} -4[/tex].

To write -4 as a fraction with a common denominator, multiply by [tex]\frac{x}{x}[/tex]

[tex]\frac{3x - 2}{x} - 4 . \frac{x}{x} > 0[/tex]

Combine  -4 and [tex]\frac{x}{x}[/tex].

[tex]\frac{3x - 2}{x} + \frac{-4x}{x} > 0[/tex]

Combine the numerators over the common denominator.

[tex]\frac{3x - 2 -4x}{x} > 0[/tex]

Subtract 4x from 3x.

[tex]\frac{-x -2}{x} > 0[/tex]

Factor -1 out of -x.

[tex]\frac{-(-x) -2}{x} >0[/tex]

Rewirte -2 as -1 (2).

[tex]\frac{-(x -1 (2)}{x} > 0[/tex]

Factor -1 out of - (x) - 1 (2).

[tex]\frac{-(x + 2)}{x} >0[/tex]

Simplify the Expression.

_______________

Rewrite - ( x + 2 ) as -1 ( x + 2 ) .

[tex]\frac{-1 ( x+ 2)}{x} > 0[/tex]

Move the negative in front of the fraction.

[tex]- \frac{x + 2}{x} > 0[/tex]

Then your going to find all the values where the expression switches from negative to positive by setting each factor equal to 0  and solving.

[tex]x = 0\\x + 2 = 0[/tex]

Subtract 2 from both sides of the equation.

[tex]x = -2[/tex]

Solve for each factor to find the values where the absolute value expression goes from negative to positive.

[tex]x = 0 \\x = -2[/tex]

Consolidate the solutions.

[tex]x = 0, -2[/tex]

________________

Find the domain of [tex]\frac{3x - 2}{x} -4[/tex]

_________________

Set the denominator in [tex]\frac{3x - 2}{x}[/tex]  equal to 0 to find where the expression is undefined.

[tex]x = 0[/tex]

The domain is all values of x that make the expression defined.

( - ∞, 0 ) ∪ ( 0 , ∞)

Use each root to create test intervals.

[tex]x < -2 \\-2 < x < 0 \\x > 0[/tex]

|Choose a test value from each interval and plug this value into the original inequality to determine which intervals satisfy the inequality.|

Test a value on the interval -2 < x < 0 to see if it makes the inequality true.

Ans : True

Test a value on the interval x > 0 to see if it makes the inequality true.

Ans : False

Test a value on the interval x < -2  to see if it makes the inequality true.

Ans : False

Compare the intervals to determine which ones satisfy the original inequality.

[tex]x < -2 = False\\-2 < x < 0 = True\\x > 0 = False[/tex]

The solution consists of all of the true intervals.

[tex]-2 < x < 0[/tex]

The result can be shown in multiple forms.

Inequality Form: [tex]-2 < x< 0[/tex]

Interval Notation: [tex]( -2 , 0 )[/tex]

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

Answer:

[tex]\bar X= \frac{\sum_{i=1}^n X_i}{n}[/tex]

The reason is because we assume that each week have the same weight and replacing we got:

[tex]\bar X= \frac{190+163+327+205}{4}= 221.25[/tex]

And the best option would be:

D. 221.25

Step-by-step explanation:

For this case we have the following data given

Week       1       2         3       4

Minutes  190   163   327   205

For this case we can find the mean with the following formula:

[tex]\bar X= \frac{\sum_{i=1}^n X_i}{n}[/tex]

The reason is because we assume that each week have the same weight and replacing we got:

[tex]\bar X= \frac{190+163+327+205}{4}= 221.25[/tex]

And the best option would be:

D. 221.25

Answer:

78.5

Step-by-step explanation:

It is 78.5 because you first get the area of the circle, which is 314. Then divide 314 by 4 to get 78.5

The area of 1/4 of a circle with a radius of 10 is 78.5 units²

Given,

1/4 of a circle.

Radius = 10

π = 3.14

We need to find the area of 1/4 of a circle.

It is given as:

Area = πr²

Find the area of 1/4 of a circle.

We have,

Area of a circle = πr²

Radius = 10

1/4 area of a circle:

= 1/4 x πr²

= 1/4 x 3.14 x 10²

= 1/4 x 3.14 x 100

= 78.5 units²

Thus the area of 1/4 of a circle is 78.5 units²

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Answer:

y + 5 = (1/3)(x - 6)

Step-by-step explanation:

Line p is perpendicular to line q, and therefore the slope of line p is the negative reciprocal of the slope of line q:  -1/3.

Starting with the point-slope formula y - k = m(x - h), we get

y + 5 = (1/3)(x - 6)

Answer:

C, 16

Explanation:

A rectangle has 4 sides, two of which have equal side lengths (the ones across from each other.) BC is equal to AD because of this rule. Hope this helps!

The measure of length BC of the rectangle will be 16 units. Then the correct option is C.

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees.

From the diagram, we have

AD = BC = 16 units

Then the correct option is C.

More about the rectangle link is given below.

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Answer:

B. AD = sqrt(CD * BD)

Step-by-step explanation:

By the right triangle altitude theorem,

CD/AD = AD/BD

AD^2 = CD * BD

AD = sqrt(CD * BD)

Answer: B. AD = sqrt(CD * BD)

Answer:

B

Step-by-step explanation:

[tex]$\frac{CD}{AD} =\frac{AD}{BD} $[/tex]

[tex]AD^2=CD \cdot BD[/tex]

[tex]AD=\sqrt{CD \cdot BD}[/tex]

In this question, you are clearly supposed to use the geometric mean theorem or known as the right triangle altitude theorem. But note that there are other approaches to find the height of the triangle.

Using Pythagorean theorem:

[tex]AD^2+CD^2=AC^2 \Rightarrow AD=\sqrt{AC^2-CD^2}[/tex]

Also,

[tex]AD=AC\sin(c)[/tex]

Answer:

11915.8 when rounded up to the nearest tenth

Step-by-step explanation:

When you dived 12.1 by 50 to get the percent of people that fit this category, you get .242 or 24.2% you can use this number to figure out the precentage of employees who are woman by multiplying this number into 49,239 people to figure out what precent of people are woman

Hope this helps :D

Answer:

11915.8 when rounded up to the nearest tenth

Step-by-step explanation:

Step-by-step explanation:

Hope it helps...

Answer:

The picture should be easier to look at :)

Step-by-step explanation:

Just got it right on edge 2020

Answer:

a) 2.5% b) 50%

Step-by-step explanation:

1300 is two standard deviations higher than the mean. Since 95% of the data is covered within two standard deviations to the left and right of the mean, 5% is not covered. So, we have 2.5% leftover on the left side of the curve, under 900, and 2.5% leftover on the right side of the graph that is above 1300.

The mean is 1100, so anything above or below the mean is exactly 50% in a normal distribution.

Answer:

Step-by-step explanation:

This is the Empirical Rule.

68% of the data lies within 1 standard deviation of the mean, and so on.

If the mean is 1100 and the standard deviation is 100, 1300 represents two standard deviations above the mean.  Using a calculator with distribution functions, we type in normcdf(2,10000), obtaining 0.023.  This tells us that 2.3 percent of test scores are more than 1300.

Less than 1100:  Since the mean is 1100, the area under the standard normal curve is exactly 0.5 (corresponding to 50% of data are less than 1100).

Answer:

its b.

Step-by-step explanation: 5n − 19 + n + 7 = 144 − 6n

6n − 12 = 144 − 6n

12n = 156

n = 13

m∠z = (144−6n)°

m∠z = (144−6×13)°

m∠z = 66°

Answer:

Step-by-step explanation:

Slope intercept form :  y - y1 = m(x -x1)

m = 3/2

(x1, y1) = (6, 1)

[tex]y - 1 = \frac{3}{2}(x - 6)\\\\y -1 = \frac{3}{2}*x -\frac{3}{2}*6\\\\y-1=\frac{3}{2}x-3*3\\\\y-1=\frac{3}{2}x-9\\\\y=\frac{3}{2}x-9+1\\\\y=\frac{3}{2}x -8[/tex]

Answer:

y=3/2 x  -8

Step-by-step explanation:

The slope should be in front of the x and the y intercept should be right after the x to create the slope intercept form. I used a graphing calculator which continued the line of 6,1 with a slope of 3/2 and then got

y=3/2x-8

Answer:

[tex]\large \boxed{\sf \ \ \sum_{n=1}^{n=4} (5n + 2) = 58 \ \ }[/tex]

Step-by-step explanation:

Hello,

We need to compute the following:

[tex]\displaystyle \sum_{k=1}^{k=4} (5\cdot k + 2)= (5*1+2) + (5*2+2)+ (5*3+2) + (5*4+2)\\\\=7 + 12 + 17 + 22 = 19 + 39 = 58[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

1. this way is overestimating

assume that you are getting 20 pounds of cheese. that is 2 tens. so multiply 3.95 by 10 = 39.5 thats the price for 10 pounds of cheese. Since we're estimating to get 20 pounds, multiply by two or add 39.5 together twice. 79 dollars this is overestimating since you're raising the amount of cheese you're buying by 2 pounds

2. his way is overestimating

assume its 4 dollars per pound. 18*4 would be 10*4 + 8*4= 40+32 = 72 dollar

this is overestimating because you're raising the price of the cheese by 5 cents.

Answer: 71.1

Step-by-step explanation: Its really simple actully so what you do is you take 3.95 and you mulitply is by 18 or you can add 3.95 plus 3.95 18 times and you get drum roll please 71.1$. I hope my answer was help ful

Answer:

[tex]\boxed{a*b = 1.60 * 10^2}[/tex]

[tex]\boxed{a/b = 7.53 * 10^{-14}}[/tex]

[tex]\boxed{c/a = 1.59 * 10^{13}}[/tex]

Step-by-step explanation:

a = [tex]3.47 * 10^{-6}[/tex]

b = [tex]4.61 * 10^7[/tex]

c = [tex]5.52*10^7[/tex]

Finding a*b:

a*b =( [tex]3.47 * 10^{-6}[/tex] )*( [tex]4.61 * 10^7[/tex])

= (3.47*4.61) * ([tex]10^{-6}*10^7[/tex])

When bases are same, powers are to be added

= 15.997 * [tex]10^{-6+7}[/tex]

= 15.997 * [tex]10^1[/tex]

= 159.97

Rounding it off

=> 1.60 * 10²

Finding a/b:

=> [tex]\frac{3.47*10^{-6}}{4.61*10^7}[/tex]

Using rule of exponents [tex]a^m/a^n = a^{m-n}[/tex]

=> 0.753 * [tex]10^{-6-7}[/tex]

=> [tex]7.53*10^{-1}*10^{-13}[/tex]

=> [tex]7.53 * 10^{-1-13}[/tex]

=> 7.53 * 10⁻¹⁴

Finding c/a:

=> [tex]\frac{5.52 * 10^7}{3.47*10^{-6}}[/tex]

=> 1.59 * [tex]10^{7+6}[/tex]

=> 1.59 * 10¹³

Answer:

a × b = 1.60 × 10^2

a/b = 7.52 × 10^-14

c/a = 1.59 × 10^13

Step-by-step explanation:

a = 3.47 × 10^-6

b = 4.61 × 10^7

c = 5.52 × 10^7

Solve a × b

(3.47 × 10^-6) × (4.61 × 10^7)

When bases are same in multiplication, we add the exponents.

15.9967 × 10^1

Decimal point is after first non-zero digit. Round to hundredths.

1.60 × 10^2

Solve a/b

(3.47 × 10^-6)/(4.61 × 10^7)

When bases are same in division, subtract the exponents.

3.47/4.61 × 10^-14

0.75271149674 × 10^-14

Decimal point is after first non-zero digit. Round to hundredths.

7.52 × 10^-14

Solve c/a

(5.52 × 10^7)/(3.47 × 10^-6)

When bases are same in division, subtract the exponents.

5.52/3.47 × 10^13

1.59077809798 × 10^13

Round to hundredths.

1.59 × 10^13

Answer:

Step-by-step explanation:

We have a right triangle. Therefore, we can use the Pythagorean theorem:

The sum of the areas of the squares built on the legs is equal to the area of ​​the square built on the hypotenuse.

We have the area of the largest square (the square built on the hypotenuse).

A₃ = 36 u²

From the Pythagorean therem we have the equation:

A₃ = A₁ + A₂

We need the areas of the smaller squares (A₁ and A₂).

A₁ + A₂ = 36.

From the second picture, we have:

A) 6 and 30 → 6 + 30 = 3          CORRECT

B) 8 and 28 → 8 + 28 = 36       CORRECT

C) 4 and 16 → 4 + 16 = 20 ≠ 36  INCORRECT

Answer: 240

Step-by-step explanation:

5/6x=200

(6/5)5/6x=200(6/5)

1x=40(6/1)

x=40(6)

x=240

Answer:

the data are skewed, D.

Step-by-step explanation:

Answer:

Assuming that t = toppings, then the inequality is 9.25+0.75t ≤ 13.75. Solution is 6.

Step-by-step explanation:

Let's define toppings as [tex]t[/tex].

If the original cost of a pizza is $9.25 and each topping costs $0.75, we can find how much the toppings would cost by multiplying 0.75 by t, the amount of toppings. Adding this to 9.25 would give us the expression needed to find the cost.

[tex]9.25 + 0.75t[/tex]

If you want to spend NO MORE than 13.75, it's ok to spend $13.75, so we write the equation with a ≤ symbol (less than or equal to).

9.25+0.75t ≤ 13.75

Now lets solve the equation.

We can subtract 9.25 from both sides, which gets us

0.75t ≤ 4.5

Now we can divide both sides by 0.75 to isolate t.

t ≤ 6

So, the maximum number of toppings you can order is 6.

Hope this helped!

Answer:

6

Step-by-step explanation:

so default for pizza is 9.25

and toppings vary depending on number so 0.75x

so I guess 9.25+0.75x<=13.75-variable

equation-9.25+0.75x=13.75

solve to get 0.75x=4.5

x is 6 not sure

Answer:

P=2x +2y

2x=2y-p

As given that 2x=2(10)+88

x=108/2

x=54cm

May be it's help you;)

Answer:

The length of each of the two equally long sides is 26 cm

The length of the longer side is 36 cm

Step-by-step explanation:

Let the length of each of the two equal sides be represented by x

The other side = 10 + x

Perimeter of triangle (P) = sum of all sides of the triangle

88 = x + x + 10 + x

88 = 3x + 10

3x = 88 - 10

3x = 78

x = 78/3 = 26

Length of each of the two equally long sides (x) = 26 cm

Length of the longer side = 10 + x = 10 + 26 = 36 cm

I attached a picture to this