The ratio of athletes to non-athletes at Taylor Middle School is 3 to 4. If there are 225 athletes in the school, how many non-athletes are there?

The value of x is 6

From the information given, we have that;

It is important to note that line RT is a line with segments RS and ST and S and the line between R and T

This can be expressed as;

RS + ST = RT

substitute the values into the equation, we have;

4x - 9 + 19 = 8x - 14

collect like terms

4x - 8x = -14 + 9 - 19

subtract like terms

-4x = -24

make 'x' the subject of formula

-4x/-4 = -24/-4

x = 6

Thus, the value of x is 6

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Answer:

4t^2 - 28t + 49

Step-by-step explanation:

(2t - 7)^2

Use FOIL.

(2t - 7)^2 =

= (2t - 7)(2t - 7)

= 4t^2 - 14t - 14t + 49

Combine like terms.

= 4t^2 - 28t + 49

(2t - 7)² on expansion results in 4t² - 28t + 49.

The algebraic equations which can be used for all variables in the equation is called Algebraic identities. These identities used in factorization of polynomial expressions as well as in the computation of algebraic expressions.

Some of the standard algebraic identities are:

(a + b)² = a² + 2ab + b²

(a - b)² = a² - 2ab + b²

a² - b² = (a + b) (a - b)

Here we have the expression (2t - 7)².

Using the second identity (a - b)² = a² - 2ab + b², we can write,

(2t - 7)² = (2t)² - (2 × 2t × 7) + 7²

= 4t² - 28t + 49

Hence the expression (2t - 7)² is expanded to 4t² - 28t + 49 using the algebraic identity (a - b)² = a² - 2ab + b².

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Answer:

B, parabola, 1

Step-by-step explanation:

right on edge

The bean bag’s path is part of a curve that is a parabola and to the nearest second, the bean bag was in the air for 1 second(s).

Projectile motion is the motion of the body, when it is thrown in the air taking the action of gravity on it.

The parametric equation for x and y can be given as,

[tex]x =x_o+ v_o\cos(\theta)t \\y =y_o -\dfrac{1}{2}at^2 + (v_o\sin(\theta))t[/tex]

Here, (vo) is the initial speed, (h) is the height and θ is the angle of throw.

The player throws a bean bag from the height of 3 feet with an initial velocity of 34 feet per second at an angle of 30º.

Let suppose the time is t second. Thus, the parametric equation that represents this situation are,

[tex]x = (34\cos(30^o)t \\y = -16t^2 + (34\sin(30^o))t + 3[/tex]

The bean bag’s path is part of a curve. This path is in the form of parabola.

To the nearest second, the bean bag was in the air for 1 second(s).

Thus, the bean bag’s path is part of a curve that is a parabola and to the nearest second, the bean bag was in the air for 1 second(s).

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Answer:

I think it is 17/85

Step-by-step explanation:

1/5. = 2/10. = 3/15. = 4/20. = 5/25. = 6/30. = 7/35. = 8/40. = 9/45. = 10/50. = 11/55. = 12/60. = 13/65. = 14/70. = 15/75. = 16/80. = 17/85

There are 70 small boxes and 55 big boxes.

Let x = small box

Let y = large box

The equation will be:

x + y = 125 ....i

25x + 55y = 4775 ..... ii

From equation i, y = 125 - x.

25x + 55y = 4775

25x + 55(125 - x) = 4775

25x + 6875 - 55x = 4775

Collect like terms

25x - 55x = 4775 - 6875

30x = 2100

x = 2100/30

x = 70

Since x + y = 125

y = 125 - 70 = 55

Therefore, there are 70 small boxes and 55 big boxes.

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Answer:

5

Step-by-step explanation:

The rate is 5p/m

200 / 40 = 5 and so on...

Answer:

5 calories/minute.

Step-by-step explanation:

To find the rate, take one of the data sets (in my example, 40, and 200) and just divide the number of calories by the minutes to find your unit rate.

200/40

= 5

Answer:

me

1,000,001

Blueface

4?

Yes

ok

Step-by-step explanation:

Answer:

45!

Step-by-step explanation:

Step-by-step explanation:

x = 36

y = 48

z = 72

hope it helps

Answer:

16

Step-by-step explanation:

6 x 8 = 48

48 / 3 = 16

Rebecca can only wrap 16 packages with 6 yards of ribbon.

Answer:

B

Only one that goes over once and up twice

Answer:

b is the answer I believe

The other factor of the quadratic equation [tex]6x^{2} -7x+2[/tex] is 3x-2. Since it is a quadratic equation we can get the other factor by factorization.

Factorization of quadratic equation is a way of finding the roots of the equation.The simple method of factorizing is we first find the product of the coefficient of [tex]x^{2}[/tex] and the constant, then we have to get the product by rearranging the coefficient of x, if the constant has a positive sign then we try to get the product by sum and if the sign is negative then we try to get the product by subtraction. After rearrangement we divide the equation in two parts and take the common factors from each part.

One of the factors of the equation is 2x-1, we have to find the other factor.

[tex]6x^{2} -7x+2=0\\6x^{2} -3x-4x+2=0\\3x(2x-1)-2(2x-1)=0\\(2x-1)(3x-2)[/tex]

The other factor of the equation is 3x-2.

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Step-by-step explanation:

–(11/4) = 11 : (–4) = –11/4 = 11/-4

Step-by-step explanation:

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

−9m2−8m−3=0

For this equation: a=-9, b=-8, c=-3

−9m2+−8m+−3=0

Step 1: Use quadratic formula with a=-9, b=-8, c=-3.

m=

−b±√b2−4ac

2a

m=

−(−8)±√(−8)2−4(−9)(−3)

2(−9)

m=

8±√−44

−18

Answer:

No real solutions.

The given equation has no real solutions.

We have given that the quadratic equation

[tex]-9m^2-8m-3=0[/tex]

For this equation: a=-9, b=-8, c=-3

[tex]-9m^2-8m-3=0[/tex]

Step 1: Use quadratic formula with a=-9, b=-8, c=-3.

[tex]x=\frac{-b \±\sqrt{b^2-4ac}} {2a}[/tex]

Therefore we have,

[tex]x=\frac{-b \±\sqrt{b^2-4ac}} {2a}[/tex]

[tex]x=\frac{-(-8)\±\sqrt{(-8)^2-4(-9)(-3)} }{2(-9)}[/tex]

[tex]x=-\frac{4}{9} -i\frac{\sqrt{11} }{9}[/tex] and [tex]x=-4/9+i\frac{\sqrt{11} }{9}[/tex]

This equation has no real solutions.

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The answer that you're looking for is point C.

Hope this helps! <3

Answer:

The person above me is correct it is C

Step-by-step explanation:

Because it is the only one with a positive and negative. And of course coordinates are correct.

Hope this helps! :)

Answer:

Draw an arrow from the origin to (4, 0)

Step-by-step explanation:

u-v+w

= <-3, -4> - <-4, -1> + <3, 3>              

= <4, 0>

We want to perform a sum of vectors and draw the resultant vector. The resultant vector will be <4, 0> and its graph can be seen at the end.

If we see the image, we can write the vectors as:

Now we want to sum:

u - v + w

Remember that in the sum of the vectors we just add (subtract) the correspondent components, then we will have:

u - v + w = <-3, -4> - <-4, -1> + <3, 3> = <-3 + 4 + 3, -4 + 1 + 3> = <4, 0>

The graph of the resultant vector can be seen below.

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Answer:

63/10

Step-by-step explanation:

This is a mixed freaction therefore you would multiply the whole number by the denominator and add the numerator. The answer then being:

6x10+3

(63)

Good luck on your assignment!

Answer:

680 students

Step-by-step explanation:

The 68 - 95 - 99.7  rule (empirical rule) states that 68% of the population lies within one standard deviation of the mean,  95% of the population lies within two standard deviations and 95% of the population lies within three standard deviations.

Hence since it was said that within 1 deviation (of the mean) of all people like MATH 123, therefore the number of people that like MATH 123 is:

number of people that like MATH 123 = 68% of the population

number of people that like MATH 123 = 0.68 * 1000

number of people that like MATH 123 = 680 students

Answer: It's the other way around and it is because 10 x 10 is adding 10+10+10+10+10+10+10+10+10+10, while 11x9 is just 9 11s added together.

Answer:

C option

Step-by-step explanation:

please mark me brainliest

Answer:

b and c

Step-by-step explanation:

i took the test

The number of seconds Suzy will pick up the signal if she starts walking toward the coffee shop at a rate of 3 ft/sec from her office building 180 ft away is 40 seconds

After how many seconds will she pick up the signal between her office building and the coffee shop = (Distance between her office building and the coffee shop - Signal distance) / Suzy's speed

= (180 ft - 60 ft) / 3 ft/sec

= 120 ft / 3 ft/sec

= 40 seconds

After how many seconds will she lose the signal = Signal distance / Suzy's speed

= 60 ft / 3 ft/sec

= 20 seconds

Therefore, If she keeps on walking past the coffee shop, she will lose the signal after 20 seconds.

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Answer:

The relationship ship equation:

Step-by-step explanation:

Let 'x' be the grams of flour Priya bought

Let Clare bought 'y' grams of flour

As Clare bought 3/8 more than that.

so

y = x + 3/8x

Thus, the relationship ship equation:

Answer:

2

Step-by-step explanation:

......... . ........ .......

-1 × (-6) = 6  ( because of multiplicative property of -1)

0 ×(-76.3) = 0 (zero property of multiplication)

(3x)y = 3(xy)   (commuative property)

0.3 × (-3) = -3 × 0.3 ( commutative property)

As we know that,

The commutative property is a math rule that says that the order in which we multiply numbers does not change the product.

The associative property is a math rule that says that the way in which factors are grouped in a multiplication problem does not change the product.

Identity property states that a number, known as the identity, can be added to, subtracted from, multiplied by, or divided into a number without changing the number.

Zero property of multiplication is defined as “when we multiply any number by zero, the resulting product is always a zero”.

Multiplicative property of -1 atates that any number multiplied by -1 gives the same but with its opposite sign.

From the given example we can say that

-1 × (-6) = 6  ( because of multiplicative property of -1)

0 ×(-76.3) = 0 (zero property of multiplication)

(3x)y = 3(xy)   (commuative property)

0.3 × (-3) = -3 × 0.3 ( commutative property)

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Answer:

The correct answer is 4.167

Step-by-step explanation:

According to the given scenario, the calculation of the Cp i.e. measure of potential capability is as follows;

= (USL - LSL) ÷ 6 × standard deviation

= (3.05 inches - 1.80 inches) ÷ 6 × 0.05

= 1.25 ÷ 0.3

= 4.167

hence, the calculation of the Cp i.e. measure of potential capability is 4.167

Answer:

28%

Step-by-step explanation:

Answer:

25% of the questions were correct

Step-by-step explanation:

14+42=56

14/56=0.25

9514 1404 393

Answer:

  a. reflection over the x-axis

  b. vertical expansion by a factor of 2

  c. right shift 3 units

  d. shift upward 4 units

Step-by-step explanation:

It is a good idea to become familiar with what these various factors do. You will see them repeatedly.

__

a. Multiplying a function by a negative value reflects its graph over the x-axis.

__

b. A multiplier of 2 will expand the graph vertically by a factor of 2.

__

c. Subtracting 3 from each x-value will shift the graph right 3 units.

__

d. Adding 4 to each function value will shift the graph up 4 units.

Answer:

0.2

Step-by-step explanation:

19.62*0.2

Multiply by 0.2

Hope this helps plz hit the crown :D