Angela plays soccer and golf for a total of 125 minutes every day. She plays soccer 45 minutes more than she plays golf.

Part A: Write a pair of linear equations to show the relationship between the number of minutes Angela plays soccer (x) and the number of minutes she plays golf (y) every day. (5 points)

Part B: How much time does Angela spend playing golf every day? (3 points)

Part C: Is it possible for Angela to have spent 80 minutes playing soccer every day? Explain your reasoning. (2 points)

(10 points)

will give brainliest if u do all parts!!!

__________

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6f = $15

8f = $20

10f = ?

Soo :

2f = 5

f = 2,5

10f = 10(2,5) = $25✔

The cost of the wire of the third length in the table is, 25 dollars

We have to give that,

The cost of a certain type of wire varies directly with its length.

Now, From the table the equation between cost and length is,

y - 15 = (20 - 15)/(8 - 6) (x - 6)

y - 15 = (5/2) (x - 6)

y - 15 = 2.5x - 15

y = 2.5x

Where y represents the cost and x represent the length.

Hence, At x = 10 feet

y = 2.5 (10)

y = 25 dollars

So, The cost of the wire is, 25 dollars

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#SPJ6

Answer:

-6

Step-by-step explanation:

h(x)=3x+3

g(x)=-4x+1

(h+g)(x) = 3x+3 -4x+1 = -x+4

(h+g)(10) = -(10)+4 =-6

Answer:

[tex]3\dfrac{4}{5}[/tex]

Step-by-step explanation:

19 = 7x - 2x

19 = (7 - 2)x

19 = 5x

Divide both side by 5

19/5 = x

[tex]x=3\dfrac{4}{5}[/tex]

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Value of x is equal to ~

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Answer:ce  6x^2=216

Step-by-step explanation:

since this is a cube, the length, width, and height are the same, so they can all be replaced with one variable, x. When simplified, the equation reads 6x^2=216

Answer:

3 inches

Step-by-step explanation: An equilateral triangle means all 3 sides are the same length.

A square also have the same length for all 4 sides.

So each side of the square is 6cm, to find the perimeter you do 6*4=24.

then divide the square's perimeter by 3 since triangle have 3 sides. 24/3=8

so each side of the triangle will be 8cm

Answer:

it's the third one. x=47/3

Step-by-step explanation:

if needed in decimal form: 15.666

mixed number form: 15 2/3

Answer:

x=−5+3–√2

x=−5−3–√2

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

Use everyone's favourite thing: ALGEBRA!!!

16=x+32

16-32=x

-16=x

Hope that helps

Step-by-step explanation:

16=x+32

16-x=32

-x=32-16

-x=16

X=-16

Answer:

4,800 student's actually enroll.

Step-by-step explanation:

40% of 30,000 is 12,000.

40% of 12,000 is 4,800.

Answer:

b.

Step-by-step explanation:

Answer:

I asked this same question and I got this answer

Step-by-step explanation:

g (x) = 2x7x24 = 336

I'm not sure bc I asked the same question and got this answer from someone...

Answer:

348.

Step-by-step explanation:

Answer:

SSS~

RQP

Step-by-step explanation:

36/15 = 2.4

48/20 = 2.4

72/30 = 2.4

Triangles are similar by SSS~.

triangle JKL is similar to triangle RQP

Similar shapes may or may not be congruent

The length of DE is 42 units

The given parameters are:

[tex]\mathbf{AC = 84}[/tex]

[tex]\mathbf{BA = 2BD}[/tex] --- Because DE is at the midpoint

The equivalent ratio is then represented as:

[tex]\mathbf{BD : DE = BA : AC}[/tex]

Substitute [tex]\mathbf{BA = 2BD}[/tex]

[tex]\mathbf{BD : DE = 2BD : AC}[/tex]

Express as fraction

[tex]\mathbf{\frac{DE}{BD }= \frac{AC}{2BD }}[/tex]

Make DE the subject

[tex]\mathbf{DE= \frac{AC}{2BD } \times BD}[/tex]

[tex]\mathbf{DE= \frac{AC}{2 }}[/tex]

Substitute 84 for AC

[tex]\mathbf{DE= \frac{84}{2 }}[/tex]

[tex]\mathbf{DE= 42}[/tex]

Hence, the length of DE is 42 units

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(hope this helps) :)

Step-by-step explanation: in the picture

please give me a brainliest answer

Answer:

The answer is c: 1cm/3in = 3 cm/Xin

Step-by-step explanation:

Step-by-step explanation:

1262 enjoy brainliest appreciated

Answer:

(8x+15)=(7x+17){ being alternative angle}

8x+15=7x+17

8x-7x=17-15

x=2

here,

8x+15= 8×2+15

16+15=31

7x+17

7×2+17

14+17

31

again

(8x+15)+y=180°( being straight angle)

31+y=180

y=180-31

y= 149

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In the given figure, Angles (8x + 15) and (7x + 17) are equal

because they form pair of Alternate interior angles.

So,

now, as we can see Angle y and (8x + 15) are forming linear pair; so their sum measures 180°

Answer:

a1=5

d=9-5=4

a20=5+19×4=81

Step-by-step explanation:

refer to the picture.. hope this helps :)

Answer:

Answer=69

Step-by-step explanation:

8% of 75=6

75-6=69

Queremos ver cuantos metros cuadrados debe registrar cada integrante del grupo por día.

Veremos que cada integrante debe registrar 580m^2 por día.

La informacion que se nos da es:

Conociendo el área y el número de integrantes, el área que le tocara a cada integrante está dada por:

a = 174,000 m^2/10 = 17,400 m^2

Y sabemos que tendran 30 días para registrar esa área, entonces asumiendo que en cada día registran una cantidad fija de superficie, lo que deben registrar cada día está dado por:

d = a/30 = 17,400 m^2/30  = 580m^2

Eso es lo que cada integrante debe registrar por día,

Sí quieres aprender más, puedes leer:

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Answer:

m<M is 98°............

Answer:

28$

Step-by-step explanation:

She spends 14 dollars a week (7 days x 2$), and if she ends a week with 84$, she makes 28$ a day. This is unincluding the 14$ she spends on gas.

Rates of change are the change of a quantity over another.

The rate of change of the mass position at 2.1 seconds is -89.6 cm/ s

The given parameters are:

[tex]\mathbf{A = |5|}[/tex] -- the amplitude

[tex]\mathbf{T = \frac 13}[/tex] --- the period

The position of the mass is modeled by:

[tex]\mathbf{y= Acos(wt)}[/tex]

Where:

[tex]\mathbf{w = \frac{2\pi }{T}}[/tex]

So, we have:

[tex]\mathbf{w = \frac{2\pi}{1/3}}[/tex]

[tex]\mathbf{w = 6\pi }[/tex]

[tex]\mathbf{y= Acos(wt)}[/tex] becomes

[tex]\mathbf{y = |5|cos(6\pi t)}[/tex]

[tex]\mathbf{y = 5cos(6\pi t)}[/tex]

Differentiate

[tex]\mathbf{y' = 5 \times -sin(6\pi t) \times (6\pi)}[/tex]

[tex]\mathbf{y' = -30\pi sin(6\pi t) }[/tex]

When t = 2.1, we have:

[tex]\mathbf{y' = -30\pi sin(6\pi \times 2.1) }[/tex]

[tex]\mathbf{y' = -30\pi sin(12.6\pi) }[/tex]

[tex]\mathbf{y' = -30\pi \times 0.9510}[/tex]

[tex]\mathbf{y' = -89.6296}[/tex]

Approximate

[tex]\mathbf{y' = -89.6}[/tex]

Hence, the rate of change of the mass position at 2.1 seconds is -89.6 cm/ s

Read more about rates at:

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