Every year on field day, the teachers at Jefferson Middle School compete in a water balloon toss. Last year, Ellie tracked the number of passes made by each team of teachers.

Answer:

78:159*100 =

(78*100):159 =

7800:159 = 49.06

Step-by-step explanation:

In this case, you input the value of y (y = 6) into the equation ( 2.5(y-x)= 0)

2.5(6-x) = 0

Open the bracket,

(2.5×6)-2.5x= 0

Collect like terms.

2.5x= 2.5×6

Divide both sides by the coefficient of x (2.5)

x = 6

So,

x= 6 is true.

.

Substituting 6 for x in the equation,

2.5(6-6)= 0

2.5•0 = 0

0= 0

Which is also true.

Answer:

Nice handwriting!

Step-by-step explanation:

I have no idea im only in 8th grade.

Answer:

-4x^2 + 6x +4

Step-by-step explanation:

Answer:

=x^2+5x+2+−1(5x^2−x−2)

=x^2+5x+2+−1(5x^2)+−1(−x)+(−1)(−2)

=x^2+5x+2+−5x^2+x+2

=x^2+5x+2+−5x^2+x+2

=(x^2+−5x^2)+(5x+x)+(2+2)

=−4x^2+6x+4

The solution can be simplified to determine when the object will hit the ground is; h(t) = -9.8t² + 20t + 60

Projectile motion is the motion of an object thrown or projected into the air, subject to only the acceleration of gravity. The object is called a projectile, and its path is called its trajectory

Projectile motion

We are told that the projectile motion of an object can be modeled using;

h(t) = gt² + v0*t + h0

Where;

g is the acceleration due to gravity

t is the time since launch

h(t) is the height of the projectile after time t

v0 is the initial velocity

h0 is the initial height.

Now, we are given;

The acceleration due to gravity; g = –9.8 m/s²

Initial velocity; v0 = 20 m/s

Initial height; h0 = 60 m

Hence solution can be simplified to determine when the object will hit the ground is; h(t) = -9.8t² + 20t + 60 h(t) = -9.8t² + 20t + 60

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Answer:

it's c on edge :] have a nice day

An expression has numbers, variables, and mathematical operations. The representation of Leroy's total employment compensation is $46,650.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

As it is given that Leroy's total job benefits were $50,150. while his total job expenses for traveling and for professional development for the year were $3,500. As the total employment compensation is the amount that is the difference between job benefits and job expenses. Therefore,

[tex]\rm Total\ employment\ compensation= Job\ benefits + Job\ expenses[/tex]

                                                   [tex]= \$50,150 - \$3,500\\\\= \$46,650[/tex]

Hence, the representation of Leroy's total employment compensation is $46,650.

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Answer:

the representation of Leroy's total employment compensation is $46,650.

Step-by-step explanation:

The probability of a late departure or an early arrival P(late departure or early arrival) = 0.12 + 0.27 – 0.04

The probability is defined as the chances of occurence of any event from the sample.

Given: The probability of a late departure is 12 %t, the probability of early arrival is 27%.

i.e. P(late departure)=0.12

P(an early arrival)=0.27

The probability of both a late departure and an early arrival is 4 percent.

P(late departure and early arrival) =0.04

Now, using the formula the probability of the union of two dependent events A and B:-

[tex]\rm P(AUB)=P(A)+P(B)-P(A \cap B)[/tex]

i.e. P(late departure or early arrival) = P(late departure)+P(an early arrival)-P(late departure and early arrival)

=0.12+0.27-0.0.04

Hence, the required equation : P(late departure or early arrival) = 0.12 + 0.27 – 0.04

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The equation that shows how to correctly calculate the probability of a late departure or an early arrival is  P(L∪E)=0.12+0.27-0.04.

Probability of late departure P(L) = 0.12

Probability of early arrival P(E) = 0.27

Probability of both a late departure and an early arrival P(L∩E)= 0.04

Probability is the measurement of the likelihood of an event.

P(L∪E)=P(L)+P(E)- P(L∩E)

Where P(L∪E) is the probability of a late departure or an early arrival.

So, P(L∪E)=0.12+0.27-0.04

Hence, the equation that shows how to correctly calculate the probability of a late departure or an early arrival is  P(L∪E)=0.12+0.27-0.04.

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Answer:

5229 mm³

Step-by-step explanation:

Volume of square pyramid

[tex]\sf \boxed{Volume \ of \ the \ square \ pyramid = \dfrac{1}{3}*b^2*H}[/tex]

      b = base length = 25 mm

       H = height

         We have to find 'H' using Pythagorean theorem,

              slant height (hypotenuse) = 28 mm

                                                  leg₁ = base length  ÷ 2 = 25÷2 = 12.5

                                                  leg₂ = H

     H² + (12.5)² = 28²

                  H²   = 784 - 156.25

                         = 627.75

                   [tex]\sf H = \sqrt{627.75}[/tex]

                 H = 25.01 mm

          [tex]\sf \text{Volume of square pyramid =$\dfrac{1}{3}*25*25*25.1$ }[/tex]

                                                     = 5229 mm³

[tex]\sf \boxed{\text{Volume of square pyramid = \dfrac{1}{3}*25*25*28}}[/tex]

Answer: y=3

Step-by-step explanation:

Answer:

0.69

Step-by-step explanation:

In a right triangle, the cosine of one of the acute angles is the ratio of the adjacent ("next to") side to the hypotenuse.

In this triangle, the side adjacent to angle T has length [tex]\sqrt{38}[/tex].  Now you need the length of the hypotenuse, ST.  Use the Pythagorean Theorem:

[tex]ST^2=(\sqrt{38})^2+(\sqrt{41})^2 \\\\ST^2=38+41\\\\ST=\sqrt{79}[/tex]

Build the ratio (adjacent) / (hypotenuse) and approximate it with a decimal.

[tex]\cos{T}=\frac{\sqrt{38}}{\sqrt{79}} \approx 0.69[/tex]

[tex]{\large{\red{\mapsto{\maltese{\underline{\green{\boxed{\blue{\underbrace{\overbrace{\pink{\pmb{\bf{Answer:}}}}}}}}}}}}}}[/tex]

To find :-

Cos T = ?

Given :-

Perpendicular(P) = RS = √41

Base(B) = RT = √38

Formula to be used :-

We will use here a trignometry formula to find hypotenuse (H) which is ST.

(hypotenuse)² = (perpendicular)² + (base)²

[tex] \cos(A) = \frac{base}{hypotenuse} [/tex]

Solution:-

H² = P² + B²

H² = (√41)² + (√38)²

H² = 41 + 38

H² = 79

H = √79

[tex] \cos(T) = \frac{B}{H} \\ \cos(T) = \frac{ \sqrt{38} }{ \sqrt{79} } \\ \cos(T) = \frac{6.17}{8.89} \\ \cos(T) = 0.69[/tex]

Result :-

The value of cos(T) is 0.69.

Answer:

A. 30°, 70° and 80°

B. 10cm

Step-by-step explanation:

A. the two triangle have same angles

so the angles of triangle 2 are 30°, 70° and 80°

B. the perimeter of triangle, is twice as long as the perimeter of

triangle 2

so the perimeter of triangle 2 is 20÷2 = 10 cm

Answer:

1. The sum of the score is 667

2. ???

3. for her to have 95 on her last score the sum would be 762

4. ???

Step-by-step explanation:

1 = add all eight scores to get the sum

3 = add 95 to the sum of the eight scores

Answer:

The answer would be (D) 4 minutes.

Step-by-step explanation:

18 x 4= 54

I have had this question before have an amazing day!!!!

Answer:

1.colon

2. semicoln

3. comma

4. none

5. dash

6. comma

7. i am not sure but i think is a colon

8.comma

9. semicoln

10. dash

Step-by-step explanation:

You use colon when listing out something.

Sorry, I am not sure about this answer

Answer:

C 31

Step-by-step explanation:

The value of the z-score tells you how many standard deviations you are away from the mean. If a z-score is equal to 0, it is on the mean. A positive z-score indicates the raw score is higher than the mean average. For example, if a z-score is equal to +1, it is 1 standard deviation above the mean.

Answer:

Option B, [tex](48x^{8}y^{5})[/tex]

Step-by-step explanation:

Step 1:  Simplify the exponent

[tex](12x^{2}y^{3})(2x^{3}y)^{2}[/tex]

[tex](12x^{2}y^{3})(2^{2}x^{3*2}y^{1*2})[/tex]

[tex](12x^{2}y^{3})(4x^{6}y^{2})[/tex]

Step 2:  Simply the expression

[tex](12x^{2}y^{3}*4x^{6}y^{2})[/tex]

[tex](48x^{2+6}y^{3+2})[/tex]

[tex](48x^{8}y^{5})[/tex]

Answer: Option B, [tex](48x^{8}y^{5})[/tex]

Answer:

0.74

Step-by-step explanation:

The standard deviation of a data set is the sqaure root of the variance, so first we must find the variance. The equation for variance is:

σ² = [tex]\frac{{(x_{1}-[x bar] )}^{2}+...+{(x_{n}-[x bar]) }^{2}}{n}[/tex]

x = number in the data set
xbar = median of the data set
n = number of terms

Plugging in the given values, the equation for the variance of this number set is:

σ² = [tex]\frac{(0.5 - 1.625)^{2} + (1.5 - 1.625)^{2}+ (2.0 - 1.625)^{2}+(2.5 - 1.625)^{2} }{4}[/tex]

Solving:

= [tex]\frac{1.265625+0.015625+0.140625+0.765625}{4}[/tex]

= [tex]\frac{2.1875}{4}[/tex]

σ² = 0.546875

Since the standard devianation is the sqaure root of the variance, we'll sqaure 0.546875:

[tex]\sqrt{0.546875}[/tex]

= 0.73950997288745

= 0.74 (rounded)

hope this helps!

Answer:

0.5

Step-by-step explanation
Because it is a standar deviation

Check the picture below.

Answer:

180 weeks you have to convert the percentage to a decimal and multiple it to 3000

The difference in the pay rate of Phoebe in 5 years will be $11850

Your information is incomplete. Therefore, an overview will be given. Let's assume that the pay rate is $20000. When there is a 5% increase, the new pay rate will be:

= $20000 + (5% × $20000)

= $20000 + $1000

= $21000

When there is $0.75 increase per hour, the new pay rate on 5 years will be:

= (0.75 × 43800)

= $32850

The difference will be:

= $32850 - $21000

= $11850

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Answer:

900 - 60n ≥ 450

n ≤ 7.5

Answer: 7 weeks

Step-by-step explanation:

Let n = numberof weeks.

In n weeks, you withdraw 60n from the account.

After withdrawing $60 for n weeks, teh amount must be at least $450. At least $450 means greater than or equal to $450.

900 - 60n ≥ 450

-60n ≥ -450

n ≤ 7.5

Answer: 7 weeks

Answer:

y = - 21

Step-by-step explanation:

System of equations:

- 6x + 2y = - 18

- 3x - 2y = 54

To find y will look to eliminate x:

- 6x + 2y = - 18

- 3x - 2y = 54   (multiply both sides by -2)

- 6x + 2y = - 18

 6x + 4y = - 108

---------------------------- (add those two equations)

        6y  =  - 126        (divide both sides by 6)

          y  =  - 126/6           (simplify by 6)

           y = - 21

Answer: -21

Step-by-step explanation:

Answer:

32.5 square feet

Step-by-step explanation:

Area of a trapezoid

Solving

Answer:

32.5 square feet

Step-by-step explanation:

here we just find the area of both shapes within the trapezoid and add them, let's start with the triangle,

formula for the area of a triangle is 0.5 × base × height

therefore,

the area of the triangle is 7.5

the area of a square is equal to the length of the side squared.

5^2 = 25

the sum of 25 + 7.5 = 32.5

final answer is 32.5 square feet

if you need any further guidance make sure to ask:)

Answer: 26

Step-by-step explanation: The third length is the hypotenuse or the longest side

Answer:

1/26

Step-by-step explanation:

There are 52 cards....four are 9's      4/52

six possible rolls    three are even     3/6

4/52 * 3/6 =   1/26

Answer:

See below:

Step-by-step explanation:

Y intercept    is 'short' for y-AXIS intercept...

 the line intercepts the y axis at d = 7 blocks

the slope =   change in y  / change in x

                          - 5           /      1           = - 5   (using the points on the graph)

Answer:

Rewrite the whole as an equivalent fraction 2.1 Subtracting a whole from a fraction. Rewrite the whole as a fraction using 2 as the denominator.

Answer:

Capital Gains

Step-by-step explanation:

selling for more than you bought is a gain