A factory is fabricating seats for minor-league baseball stadium. The stadium holds 7500 individuals in the factory can fabricate 300 seats per day if 600 seats have already been made how long will it take for the factory to finish 7500 seats in total? Can someone help me solve this!

Answer:

24

Step-by-step explanation:

Average = total number of coins / number of students

If the mean number of coins with boys is 14, the total number of coins held by boys =  14 x 9 = 126

The total number of coins held by the students = total number of children x average number of coins held by the children

15 x 18 = 270

The total number of coins held by girls = 270 - 126 =144

The mean  number of coins for the girls = 144 / 6 = 24

Step-by-step explanation:

-10x+5= -6x-35

-10x+6x=-35-5

-4x=-40

x=10

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Answer:

2/6

Step-by-step explanation:

Answer:

The Answer is 2(3x^10-2) Hope this helps :)

-by-step explanation:

Answer: 5, 72

Step-by-step explanation:

Given the following questions :.

The value of 3 minus (negative 2)

3 - (-2) = 3 + 2 = 5

A number line going from Negative 5 to positive 5, what is the product of 6(negative 12)

6 × (-12) = - 72

The product of 6 and negative 12 is -72.

Here, we have,

The value of 3 minus (negative 2) can be calculated as follows:

3 - (-2) = 3 + 2 = 5.

Therefore, the value of 3 minus (negative 2) is 5.

Regarding the number line going from -5 to 5:

-5 -1 1 5

The product of 6 and negative 12 can be calculated as follows:

6 * (-12) = -72.

Therefore, the product of 6 and negative 12 is -72.

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Answer:

All of the following equations have the same solution except 3m + 2 = -10.

Step-by-step explanation:

Answer: You should deposit about $17014 or little more

Step-by-step explanation:

use the compound interest formula.

A= p( 1 + r/n)^nt

Where A is the amount you will save over some  years .

p is the principal or start up  amount mostly known as the initial fee.

r is the interest rate represent by a decimal so 7% will be 0.07.

n is the number of times the interest is being applied annually. Semiannually means  twice.  So n will be 2.

T is the time the money will elapsed. So in 5 years the money will elapse. Now input the values into the formula and solve for p the principal.

24,000 = p( 1 + 0.07/2)^2*5

24,000= p( 1 + 0.035)^10

24000 = p( 1.035)^10

24000 = p( 1.41059876062)  Divide both sides by 1.41059876062

p = 17104  

Which means you should deposit about $17014 or little more

Answer:

X=22  (Should make the rest of the problem easy to solve)

Step-by-step explanation:

22x2 + 1 = 45

22 + 5 = 27

45 + 27 = 72 (The perimiter)

[tex]\large\text{Hello there! :)}[/tex]

[tex]\text{Formula for the perimeter: P = 6x + 12}\\\\\text{Dimensions: l = 21, w = 15}\\\\\text{Verification below.}[/tex]

[tex]-=-=-==-=-=-=-=-=-=-=-[/tex]

[tex]\text{Begin by writing an equation for the perimeter of the rectangle.}\\\\\text{Formula: P = 2l + 2w}\\\\P = 2(2x + 1) + 2(x + 5)\\\\P = 4x + 2 + 2x + 10\\\\\text{Combine like terms:}\\\\\boxed{P = 6x + 12}\\\\\text{Solve for the dimensions:}\\\\72 = 6x + 12\\\\\text{Subtract 12 from both sides:}\\\\60 = 6x\\\\\text{Divide both sides by 6:}\\\\x = 10\\\\\text{Substitute in 10 for x in the equations for each side length:}\\\\l = 2x + 1\\\\l = 2(10) + 1\\\\\boxed{l = 20 + 1 = 21units}[/tex]

[tex]w = (10) + 5\\\\\boxed{w = 15 units}[/tex]

[tex]\text{Use the formula for the area of a rectangle to verify. A = l * w:}\\\\\boxed{A = 15 * 21 = 315 units^{2} }[/tex]

An object is moving at 9 centimeters every 5.5 minutes have a speed of 0.01 mile per day.

Speed is the ratio of distance travelled to time taken. Speed is given by:

Speed = distance/time

Given that the 9 cm is covered every 5.5 minutes, hence:

1 mile = 160934 cm;

9 cm = 9 * 1/160934 = 9/160934 mile

1 day = 1440 minutes

5.5 minute = 5.5 *  1/1440 = 5.5/1440 day

Hence:

Speed = distance/time

Speed = (9/160934 mile)/(5.5/1440 day)

Speed = 0.01 mile per day

An object is moving at 9 centimeters every 5.5 minutes have a speed of 0.01 mile per day.

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Answer:

a²+b² =c²

10²+z²=13²

z² = 13²-10²

z =square root of (169-100)

this is a right triangle and 13 side is the hypotenuse (the longest side)

Answer: y=K/5z

Step-by-step explanation:

To solve for y, you need to use algebraic properties to isolate y.

K=5yz            [divide both sides by 5z]

K/5z=y

y=K/5z

Answer:

There are lot of real world situations that could be represented by the value of 30.

Step-by-step explanation:

1- I went to a office for interview they said to me they will give 30$ as a salary per day.

2- I went to a shop and bought a cofee box. shopkeeper demanded me 30$ for it.

These are the best examples of real-world situations that could be represented by the value 30

Answer:

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Step-by-step explanation:

Answer:

try 3

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

3+2-(6-(1+1)

3+2-(6-2)

3+2-4

1

Answer:

1.

Step-by-step explanation:

i got confused me explaining it but I can verify the answer is 1.

I misread the question so I am removing my answer.

Answer:

I think the answer is 20 percent

Step-by-step explanation:

if 80 is 100% than you have to make 30 a %

Answer:

x = 1/2 or x = -5/2

Step-by-step explanation:

Solve for x over the real numbers:

abs(12 x + 12) = 18

Hint: | Eliminate the absolute value.

Split the equation into two possible cases:

12 x + 12 = 18 or 12 x + 12 = -18

Hint: | Look at the first equation: Isolate terms with x to the left hand side.

Subtract 12 from both sides:

12 x = 6 or 12 x + 12 = -18

Hint: | Solve for x.

Divide both sides by 12:

x = 1/2 or 12 x + 12 = -18

Hint: | Look at the second equation: Isolate terms with x to the left hand side.

Subtract 12 from both sides:

x = 1/2 or 12 x = -30

Hint: | Solve for x.

Divide both sides by 12:

Answer: x = 1/2 or x = -5/2

Add 11 to both sides:

-4=-2t

divide 2 by both sides

2=t

Hope it helps! Comment if you have any questions!

Answer:

t = -2

Step-by-step explanation:

Move all terms that don't contain t to the right side and solve

Answer:

x + 2y

Step-by-step explanation:

Step 1: Write expression

-3x + 2y + 5x - x

Step 2: Combine like terms (x)

2x + 2y - x

x + 2y

Answer:

a) 200 g

b) 600 g

Step-by-step explanation:

Given

a) Raspberry = half of strawberry as per ratio

b) Total of fruit

Answer:

3; Sara is driving 30 miles per hour

Step-by-step explanation:

Here in this question, we want to select which of the options represent what a unit rate is.

When we talk of rate, we are referring to how a particular measured entity is changing in relation to another measured entity. Hence, we are simply looking at how there is a change between two measurable quantities.

Option 1 is not rate, it only tells us Sara ate 1 cookie. How Sara did this, we do not know, whether fast or slow

Option 2 is just measuring distance. We only know that Sara traveled a particular distance. We do not know how fast, or slow this has occurred

Option 3 is our answer. It clearly tells us how the distance Sara is traveling is measured against time

Option 4 is not correct, we only know the number of crackers and apples are, the rate at which this is done, we do not know

Answer: [tex]k=18\dfrac{8}{11}[/tex].

Step-by-step explanation:

If a line passing through two points, then

[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Endpoints of segment MN have coordinates (0, 0) and (5, 1).

Slope of MN [tex]=\dfrac{1-0}{5-0}=\dfrac{1}{5}[/tex]

The endpoints of segment AB have coordinates [tex]\left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right)[/tex] and  [tex]\left(-2\dfrac{1}{4} , k\right)[/tex].

[tex]A=\left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right)=\left(\dfrac{23}{22} ,\dfrac{9}{4}\right)[/tex]

[tex]B=\left(-2\dfrac{1}{4} , k\right)=\left(-\dfrac{9}{4} , k\right)[/tex].

Slope of AB [tex]=\dfrac{k-\frac{9}{4}}{-\frac{9}{4}-\dfrac{23}{22}}[/tex]

[tex]=\dfrac{\frac{4k-9}{4}}{\frac{-99-46}{44}}[/tex]

[tex]=\dfrac{4k-9}{4}\times \dfrac{44}{-145}[/tex]

[tex]=4k-9\times \dfrac{11}{-145}[/tex]

[tex]=\dfrac{44k-99}{-145}[/tex]

Product of slopes of two perpendicular segments is -1.

Slope of MN × Slope of AB = -1

[tex]\dfrac{1}{5}\times \dfrac{44k-99}{-145}=-1[/tex]

[tex]\dfrac{44k-99}{-725}=-1[/tex]

[tex]44k-99=725[/tex]

[tex]44k=725+99[/tex]

[tex]k=\dfrac{824}{44}[/tex]

[tex]k=\dfrac{206}{11}[/tex]

[tex]k=18\dfrac{8}{11}[/tex]

Therefore, the value of k is [tex]k=18\dfrac{8}{11}[/tex].

Answer:

k=21

Step-by-step explanation:

Find the slope of MN which is 1/5, (use the slope formula.)

Use the slope formula for AB using k as y_2

Substitute and you get k=21

21-2.25/-2.25-1.5=-5

The lines are perpendicular because the slopes are the negative reciprocal of one another.

Answer: -1

Step-by-step explanation:

To find the slope fo the line with the given points, you use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]m=\frac{-1-6}{8-1}=\frac{-7}{7} =-1[/tex]

Now, we know that the slope is -1.

Answer:[tex]y=\frac{x}{w+q}[/tex]

Step-by-step explanation:

Answer:

x^2 + (y+1)^2 = 16

Step-by-step explanation:

The equation of a circle is given by the equation (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center point of the circle.

Therefore, since the center point of the circle and the radius is given, we can just plug the numbers into the formula:

(x-0)^2 + (y+1)^2 = 4^2

x^2 + (y+1)^2 = 16

The required center-radius form of the equation of the circle is x² + (y + 1)² = 16.

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k).

Here

The equation of the circle is given by

(x - h)² + (y - k)² = r² - - - - (1)

where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.

Substitute center and radius in equation 1,
(x - 0)² + (y + 1)² = 4²
(x )² + (y + 1)² = 16²

Thus, the required center-radius form of the equation of the circle is x² + (y + 1)² = 16.

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Answer:

the number line shows inequality

Answer:

57

steps:

10 x 5= 50

7 + 50 =57

Answer:

p(- 3) = 0

Step-by-step explanation:

Substitute x = - 3 into p(x) , that is

p(- 3) = - 12(- 3) - 36 = 36 - 36 = 0