Which algebraic equation correctly represents this statement?

The square of the product of 4 and a number is the sum of the number and 15.

1. (4x)^2 = x + 15x
2. 4x^2 = x + 15
3. 2(4x) = x + 15
4.(4x)^2 = x + 15

Answer: you are able to buy 4 cupcakes

Step-by-step explanation:

Complete Question

At a soccer tournament 12 teams are wearing red shirts, 6 teams are wearing blue shirts, 4 teams are wearing orange shirts, and 2 teams are wearing white shirts. For every 2 teams at the tournament, there is 1 team wearing ____

Answer:

For every 2 teams at the tournament, there is 1 team wearing RED SHIRTS

Step-by-step explanation:

Step 1

We add all the teams together

Red + Blue + Orange + White

12 + 6 + 4 + 2

= 24 teams

Step 2

We have 12 red teams.

If we find the ratio of red team to total number of teams

= 12 :24

= 1:2

Therefore, for every 2 teams at the tournament, there is 1 team wearing RED SHIRTS

Answer:

0.92

Step-by-step explanation:

Answer:

x = 3/4

y = 5/4

Step-by-step explanation:

Step:

Substitute−x+2 for y in y=3x−1:

y=3x−1

−x+2=3x−1

−x+2+−3x=3x−1+−3x(Add -3x to both sides)

−4x+2=−1

−4x+2+−2=−1+−2 (Add -2 to both sides)

-4x = -3

x=3/4

Step: Substitute x into the original equation

y=-3/4 + 2

y=5/4

Hope this helps!!

Answer:

x = 47°

Step-by-step explanation:

Since CPD is a straight line, then

133 and x are adjacent angles and supplementary, sum to 180° , then

x + 133° = 180° ( subtract 133° from both sides )

x = 47°

Answer:

ΔDEG ≅ ΔFGE

Side-Angle-Side

Step-by-step explanation:

DG ║ EF  because DG⊥DE and GF⊥EF

∠DGE ≅ ∠FEG because alternate interior angles of parallel lines are congruent

so Side-Angle-Side proves congruency

Answer:

72 inches equals 2 yards to get the answer you divide 72 by 36 which equals 2 .

Step-by-step explanation:

Answer:

x = 20.75

Step-by-step explanation:

37 + 12x = 286    <-- Subtract 37

12x = 249     <-- Divide by 12

x = 20.75

Answer:

trapezoid

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

We cannot assume independence for the employees sampled from location A.

It is not appropriate to use this formula for the standard deviation of

A. The samples are not independent of each other.

The entire group about whom you want to make conclusions is referred to as a population.

The particular group from which you will gather data is known as a sample. The sample size is always smaller than the population as a whole.

We cannot rely on the workers' sampled employees' independence.

Assuming independence based on the 10% condition requires at least 200 employees in the population with a sample size of 20, however, location A only has 125 employees.

learn more about sample types in statistics here :
https://brainly.com/question/28807640

#SPJ2

Answer:

Y= 10

angle D= 76

angle C=40

angle E=64

Step-by-step explanation:

Answer:

a     n=0.8

Step-by-step explanation:

Answer:

∠b= 53

Step-by-step explanation:

Answer:

57 deaths per hour

Step-by-step explanation:

In one year, we have 365 days.

Now, there are 24 hours in a day.

Thus,

Number of hours in one year = 365 × 24 = 8760 hours

Now, since there are half a million heart attacks deaths occurring in the United States of America each year, it means that;

There are 500000 deaths every 8760 hours.

Therefore, death rate per hour = 500000/8760 ≈ 57 deaths per hour

Answer:

what?

Step-by-step explanation:

Answer: you need to show the worksheet so we can help

Step-by-step explanation:

Step-by-step explanation:

answer A is correct

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

Answer:

c

Step-by-step explanation:

[tex]sin = \frac{opposite}{hypotenuse}[/tex]

it wants us to find sin a

the opposite of a is 24 and the hypotenuse is 26

so sin A = 24/26

[tex]cos = \frac{adjacent}{hypotenuse}[/tex]

it wants us to find cos a

the adjacent of a is 10 and the hypotenuse is 26

so cos A = 10/26

have a great day :D

Answer:

option 1:

Step-by-step explanation:

10 (3x + 10)

Answer:

Step-by-step explanation:

1) (-10,2)   ; (3,5)

[tex]Midpoint= (\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})\\\\=(\frac{-10 +3 }{2}, \frac{2+5}{2})\\\\=(\frac{-7}{2},\frac{7}{2})\\\\=(-3.5, 3.5)[/tex]

2) (3,6)  ; (7,6)

[tex]Midpoint= (\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})\\\\=(\frac{3+7 }{2}, \frac{6+6}{2})\\\\=(\frac{10}{2},\frac{12}{2})\\\\=(5, 6)[/tex]

Answer:

2/3

Step-by-step explanation:

y=mx+b

y=2/3x-4

m=slope

b=y intercept

Answer:

697.45

Step-by-step explanation:

interest for the first year = 13.5 % of 580 = 78.3

for 0.5 year, it will be 78.3 /2 =39.15

1year + 0.5 year = 78.3 + 39.15= 117.45

add that to borrowed amount to get total amount paid

117.45+ 580= 697.45

Answer:

36.9°

Step-by-step explanation:

As shown in the diagram attached,

θ is the acute angle formed at the intersection of the diagonals of the rectangle.

From the diagram,

tan(θ/2) = 10/30

tan(θ/2) = 1/3

θ/2 = tan⁻¹(1/3)

θ/2 = 18.43

Therefore,

θ = 18.43×2

θ = 36.87

θ = 36.9°

Hence the acute angle formed is 36.9°

Answer:

x=4, y=-3. (4, -3).

Step-by-step explanation:

5x+4y=8

2x-3y=17

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

2(5x+4y)=2(8)

-5(2x-3y)=-5(17)

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

10x+8y=16

-10x+15y=-85

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

23y=-69

y=-69/23

y=-3

5x+4(-3)=8

5x-12=8

5x=8+12

5x=20

x=20/5

x=4

Answer: It is 5.05 hours or 5 hours 3 minutes from the time the first flight takes off to the time Henry touches down in Boston

Step-by-step explanation:

1 hour = 60 min

Given :Time for flight from Washington D.C. to New York City =  1 h 12 min = 72 min    

Lay over in New York = 2 h 41 min = 161 min

Time for flight from New York City to Boston = 1 h 10 min = 70 min

Thus total time for Henry to touch down Boston = Time for flight from Washington D.C. to New York City  + Lay over in New York + Time for flight from New York City to Boston = 72 min + 161 min + 70 min = 303 min = 5.05 hour

5.05 hours or 5 hours 3 min from the time the first flight takes off to the time Henry touches down in Boston