pls helppp this is so urgent:
The 7th graders at DEMS are going to help set the playground for the kindergartners at the new school. School Safety regulations require that the sand underneath the swings be at least 15 inches deep. The sand under both swing sets was only 12 inches deep when they started.
The rectangular area under the small swing set measures 9 feet by 12 feet and required 40 bags of sand to increase the depth by 3 inches.
How many bags of sand will the students need to cover the rectangular area under the large swing set if it is 1.5 times as long and 1.5 times as wide as the area under the small swing sets?

Answer:

383 children and 361 adults

Step-by-step explanation:

Let's say there are a adults and c children. Since the total number of people was 744, we can write:

a + c = 744

We also know that children's prices are $1.75 per child and adults' prices are $2 per adult. Since the total is $1392.25, we can write:

1.75c + 2a = 1392.25

Now we have a system of linear equations:

a + c = 744

1.75c + 2a = 1392.25

Multiply the first equation by 2:

2 * (a + c = 744)  ⇒  2a + 2c = 1488

Now subtract the second equation from this one:

    2a + 2c = 1488

-    2a + 1.75c = 1392.25

___________________

    0a + 0.25c = 95.75

c = 383

Plug this in to find a:

a + c = 744

a + 383 = 744

a = 361

There were 383 children and 361 adults.

Lets use some variables:

x = number of adults

y = number of children

744 total people used the public swimming pool and the number adults and children are unknown, so, we can write an equation like:

x + y = 744

Since $2 are for adults, we can write that as 2x. Since $1.75 are for children, we can write that as 1.75y. Since the total price is $1,392.25, that's what the equation should equal. Equation:

2x + 1.75y = 1,392.25

Now, we have a system of equations.

~Rationalize equations

x + y = 744, 2x + 7/4y = 5569/4

~Isolate x for [ x + y = 744 ]

x + y - y = 744 - y

x = 744 - y

~Substitute with x

2(744 - y) + 7/4y = 5569/4

~Isolate y for [ 2(744 - y) + 7/4y = 5569/4 ]

2(744 - y) * 4 + 7/4y * 4 = 5569/4 * 4

8(744 - y) + 7y = 5569

5952 - 8y + 7y = 5569

5952 - y = 5569

5952 - 5952 - y = 5569 - 5952

-y = -383

-y/-1 = -383/-1

y = 383

~Substitute y with 383 in [ x = 744 - y ]

x = 744 - 383

x = 361

Therefore, there are 361 adults and 383 children.

Best of Luck!

The parabola y= ax² opens to the left.

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves.

We have the parabolic equation: y= ax²

1. If 'a' is positive, the parabola will open to the right or upwards.

2. If "a" is negative, the parabola opens to the left or downward.

3. The parabola expands either upwards or downwards if x is squared.

4. The parabola opens to the left or right if y is squared.

Now, as we are given the parabola having x² and 'a' is negative.

Thus, from the points 4 and 2, we get,

The given parabola opens to the left.

Learn more about Parabola here:

https://brainly.com/question/21685473

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Answer: 97

Step-by-step explanation:

4,074 / 42

hope this helped

Answer:

7

Step-by-step explanation:

It just is

The vertex of a parabola is written as (h,k) so h = 5 and k = -3.

H is subtracted from x inside parentheses and k is added at the end of the equation.

The equation is also written as y =

The answer should be D.

Answer c also works, so there are two correct answers.

Answer:

C. -0.34

Step-by-step explanation:

We have that for a normal distribution, the value of z can be calculated using the following formula:

z = (x - m) / sd

where x is the value to evaluate, m the mean and sd the standard deviation, we have those values x = 16.3, m = 17.4 and sd = 3.2

if we replace we have:

z = (16.3 - 17.4) /3.2

z = -0.3437

if we round to 2 decimal places, it would be -0.34, that is, the answer is C.

The z-score for a fish measuring 16.3 cm, with a mean length of 17.4 cm and a standard deviation of 3.2 cm, is -0.34.

The score of the length of the fish, also known as the z-score, is calculated by subtracting the mean from the observed value and then dividing by the standard deviation. Using the provided data, we have a mean (μ) of 17.4 cm and a standard deviation (σ) of 3.2 cm. The fish in question measures 16.3 cm.

To find the z-score, the calculation is as follows:

Z = (X - μ) / σ

Z = (16.3 cm - 17.4 cm) / 3.2 cm

Z = -1.1 cm / 3.2 cm

Z = -0.34 (rounded to two decimal places)

Therefore, the z-score for a fish that is 16.3 cm long is -0.34, which corresponds with answer option C.

Angle 6 and angle 8 are corresponding angles, because they are in the same position, but on different parallel lines. Corresponding angles are congruent. So, if the measure of angle 8 is 119 degrees, then the measure of angle 6 is 119 degrees.

Hope this helps! :)

Answer:

D

Step-by-step explanation:

There are 2 cups in a pint, so 3 cups would be 1.5 pints. :)

q=8

soo

7(8)=64

64 is the final answer.

Answer: i believe it is short field

Answer:

B. Long Field

Step-by-step explanation:

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oh carp sorry my cat hates meh

i only know how to edit how do i delete answers this

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what i wanna dooooooooo

sorry

Answer:

The cost of the pillar is $22,947.12

Step-by-step explanation:

Diameter of the pillar = 6m

Radius = diameter / 2 = 6 / 2 = 3m

Height if the pillar = 7m

Volume of the pillar = πr²h

π = 3.14

V = 3.14 × 3² × 7

V = 3.14 × 9 × 7

V = 197.82m³

Volume of the pillar is 197.82m³

If 1m³ = $116

197.82m³ will cost $x

X = (197.82 × 116) / 1

X = $22,947.12

The cost of the pillar is $22,947.12

Answer:

C

i hope this helped you

Answer:

D

Step-by-step explanation:

cause if you pay 4 times a year that means you set money aside every three months  which means that  you set 52 dollars every month

Answer:

1/72

Step-by-step explanation:

Answer:

1/72

Step-by-step explanation:

1/8 divided by 9 = 1/8 times 1/9.

We have ti flip 9/1 so we get 1/9

You multiply 9 by 8 you get 72

so the answer is 1/72

Answer:

Reaches a maximum height of 235.00 feet in 3.75 seconds.

Step-by-step explanation:

The height of the boulder, h,  in feet after t seconds is given by the function is given by :

[tex]h=-16t^2+120t+10[/tex] .....(1)

For maximum height, put [tex]\dfrac{dh}{dt}=0[/tex]

i.e.

[tex]\dfrac{d(-16t^2+120t+10)}{dt}=0\\\\-32t+120=0\\\\32t=120\\\\t=3.75\ s[/tex]

Put t = 3.75 in equation (1). So,

[tex]h=-16(3.75)^2+120(3.75)+10\\\\h=235\ \text{feet}[/tex]

So, the boulder's maximum height is 235 feets and it takes 3.75 s to reach to its maximum height.

Answer:

A on EDGE2020

The graph of the rectangular hyperbola that has the equation of the horizontal asymptote of y = -6 and the vertical asymptote of x = -1 will be drawn below.

The asymptotes or axes of a rectangular hyperbola are parallel to one another. The conjugate axis and transverse axes have lengths that are identical.

An asymptote is a line that constantly reaches a given curve but does not touch at an infinite distance.

The rectangular hyperbola is shifted below. Then the horizontal also gets shifted below by 6 units. Then the equation of the horizontal asymptote is given as,

y = - 6

Then the equation of the vertical asymptote is given as,

x + 1 = 0

x = - 1

The graph of the rectangular hyperbola that has the equation of the horizontal asymptote of y = -6 and the vertical asymptote of x = -1 will be drawn below.

More about the rectangular hyperbola link is given below.

https://brainly.com/question/2791549

#SPJ2

Answer:

16

Step-by-step explanation:

4^5/4^3

4^5-3

4^2

16

Hope this helps :)

Answer:2 in.

Step-by-step explanation:

Given

Dimension of photo frame is [tex]20\ in.\times 24\ in.[/tex]

If the photo cover an area of [tex]320\ in.^2[/tex]

Suppose x be the width of border

Therefore dimension of frame without border is

[tex]A'=(20-2x)(24-2x)[/tex]

And [tex]A'[/tex] must be equal to [tex]320\ in.^2[/tex]

So,

[tex]\Rightarrow (20-2x)(24-2x)=320[/tex]

[tex]\Rightarrow (10-x)(12-x)=80[/tex]

[tex]\Rightarrow 120-10x-12x+x^2=80[/tex]

[tex]\Rightarrow x^2-22x+40=0[/tex]

[tex]\Rightarrow x^2-20x-2x+40=0[/tex]

[tex]\Rightarrow (x-2)(x-20)=0[/tex]

Thus there are two values of x out of which [tex]x=20\ in.[/tex] is not valid because it is not feasible

thus width of border is [tex]x=2\ in.[/tex]

Answer:

[tex]f^{-1}(x) = \sqrt[3]{x+5}[/tex]

Step-by-step explanation:

A function [tex]f^{-1}[/tex] is the inverse of f if whenever y =f(x) and [tex]x =f^{-1}[/tex]

To find the  inverse of f(x) = [tex]x^{3}[/tex] - 5, we use the following steps:

y = [tex]x^{3}[/tex] - 5

<=> [tex]x^{3}[/tex]  = y + 5

<=> x = [tex]\sqrt[3]{y+ 5}[/tex]

[tex]f^{-1}(y) =\sqrt[3]{y+5}[/tex]

[tex]f^{-1}(x) = \sqrt[3]{x+5}[/tex]

Let Calculate 3 points on f(x)

x = 0 => y = -5

x = 1  => y = -4

x = 2 => y = 3

Let Calculate 3 points on [tex]f^{-1}[/tex] (x)

x = -5 => y = 0

x = -4  => y = 1

x = 3 => y = 2

Yes, the inverse is correct because:

Answer:

Option 3

Step-by-step explanation:

log4(x) + log4(x - 3) = log4(-7x + 21)

log4(x² - 3x) = log4(-7x + 21)

x² - 3x = -7x + 21

x² + 4x - 21 = 0

x² + 7x - 3x - 21 = 0

x(x + 7) - 3(x + 7) =0

(x + 7)(x - 3) = 0

x = -7, 3

-7 and 3, both are e extraneous solutions because logs of non-positive numbers don't exist

At x = 3,

-7x + 21 = 0

Answer:

Step-by-step explanation:

Heaat

Answer:

I = 94.2 ft

Step-by-step explanation:

The formula for circumference is

[tex]2\pi r[/tex]

if the radius is 15 all you need to do is plug it in and solve

[tex]2\pi 15[/tex]

multiply 2 and 15

30

multiply 30 and pi

94.2

add units and you're done

(if you use the symbol for pi in the calculator it gives you 94.25 but it said to use 3.14 for pi. If you use the symbol pi it's way more than just 3.14)

Answer:

A. 6

Step-by-step explanation:

[tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]

[tex]3^{2}[/tex]+[tex]5^{2}[/tex]=[tex]c^{2}[/tex]

[tex]3^{2}[/tex]=9

[tex]5^{2}[/tex]=25

25+9=34

[tex]\sqrt{34}[/tex]= 5.83

Round it and its 6

Answer:

£1690

Step-by-step explanation:

Amount invested by Brian = £1300

rate of simple interest = 10%

To find money Brian will have after three years

He will have amount invested in bank and interest earned in three years from that amount.

Simple interest for any principal amount p is given by

SI = P*R * T /100

where SI  is simple interest earned

T is time period for which simple interest is earned

R is rate of interest

Substituting value of P , R and T we have

SI = 1300*10* 3 /100 = 390

Therefor interest earned will be £390

Total money with Brian after three years = principal amount invested + interest earned in 3 years

= £1300 + £390 = £1690

The area of a sector with a radius of 5 inches and a 180-degree arc is half the area of the full circle, resulting in 39.27 square inches when rounded.

The area of a sector of a circle with radius 5 inches that is bounded by a 180-degree arc can be found by first calculating the area of the entire circle and then taking half of that area, since 180 degrees is half of the full 360 degrees of a circle. The formula to calculate the area of a circle is A = πr². For a radius (r) of 5 inches, the entire circle's area would be A = π(5 inches)².

Thus, the entire circle area is A = 3.1415927 × (5 inches)² = 78.53981633974483 square inches. Since the sector is half of the circle, the area of the sector would be 39.269908169872415 square inches, or when rounded to two decimal places, 39.27 square inches.

Answer: 90 degrees

Step-by-step explanation:

The angle of rotation is 90° clockwise rotation

The coordinates are given as:

A(-2, -2) to A'(-2, 2)

Remove the points

(-2, -2) to (-2, 2)

Replace the coordinates with x and y

(x, y) to (y, -x)

The above represents a 90° clockwise rotation

Hence, the angle of rotation is 90° clockwise rotation

Read more about rotation at:

https://brainly.com/question/4289712

Answer: n=3, hope this helps! c:

Answer:

5 pounds

Step-by-step explanation:

The line plot shows that we have 3 kittens with 1/2 pounds, 2 kittens with 1 pound and 1 kitten with 1 1/2 pound.

So, to find the total weight of the kittens in the shelter, we can multiply the number of kittens by their weights, and then sum then all:

Total weight = 3 * (1/2) + 2 * 1 + 1 * (1 + 1/2)

Total weight = 3/2 + 2 + 3/2 = (3 + 4 + 3)/2 = 10/2 = 5 pounds

Answer:

4.8

Step-by-step explanation: