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3 years ago

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A car traveled at an average rate of 51 miles per hour on one highway. It then traveled at an average rate of 71 miles per hour

on a second highway. If the car traveled a total of 508 miles in 8 hours, how many miles were driven on the first highway?

1 answer:

sergiy2304 [10]3 years ago

3 0

d1 = 51(t)

d2 = 71(8 - t)

d1 + d2 = 508

and now you just have to solve for t.

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Can someone help me with my work please

Alja [10]

You'd place inches on the numerator and yards in the denominator place.

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3 years ago

SOMEONE HELP ME PLS<br><br>I ATTACHED A PIC

crimeas [40]

Answer:

$A=54.95\ ft^2$

Step-by-step explanation:

The angle of shaded sector = 360-332 = 28°

The radius of sector, r = 15 ft

We need to find the area of the shaded sector. The formula for the area of the sector is given by :

$A=\dfrac{\theta}{360}\times \pi r^2\\\\=\dfrac{28}{360}\times 3.14\times (15)^2\\\\A=54.95\ ft^2$

So, the area of the shaded sector is equal to $54.95\ ft^2$ .

5 0

3 years ago

xz_007 [3.2K]

Answer:

1) $n = 84$

2) $n = 78$

3) $n = 24$

4) $n = 16$

5) $n = 35$

Step-by-step explanation:

To solve each proportion, we apply cross multiplication.

Question 1:

$\frac{5}{12} = \frac{35}{n}$

$5n = 35*12$

Simplifying both sides by 5

$n = 7*12 = 84$

Question 2:

$\frac{n}{52} = \frac{180}{120}$

$120n = 52*180$

Simplifying both sides by 20

$6n = 52*9$

Simplifying by 3

$2n = 52*3$

Simplifying by 2

$n = 26*3 = 78$

Question 3:

$\frac{18}{n} = \frac{21}{28}$

$21n = 18*28$

Simplifying both sides by 7

$3n = 18*4$

Simplifying both sides by 3

$n = 6*4 = 24$

Question 4:

$\frac{n}{4} = \frac{24}{6}$

$\frac{n}{4} = 4$

$n = 16$

Question 5:

$\frac{10}{16} = \frac{n}{56}$

$16n = 56*10$

Simplifying by 2, both sides

$8n = 56*5$

Simplifying by 8, both sides

$n = 7*5 = 35$

4 0

3 years ago

under a dilation, the point (2,6) is moved to (6,18) what is the scale factor of the dilation? enter your answer in the box

Anestetic [448]

<h2>3</h2>

Step-by-step explanation:

The equation of line passing through the two points is $\frac{y-y_{1} }{x-x_{1} }=\frac{y_{2} -y_{1}}{x_{2} -x_{1}}$

When substituted,the equation becomes $\frac{y-6}{x-2}=\frac{18-6}{6-2}$

which when simplified is $y=3\times x$

The line clearly passes through origin.

The distance between two points is $\sqrt{(y_{1}-y_{2} )^{2}+(x_{1}- x_{2} )^{2}}$

Distance between origin and $(2,6)$ is $\sqrt{40}$ .

Distance between origin and $(6,18)$ is $\sqrt{360}$

Scale factor is $\frac{distance\text{ }of\text{ }p_{2}\text{ from origin}}{distance \text{ } of \text{ } p_{1}\text{ from origin}}$

So,scale factor is $\frac{\sqrt{360} }{\sqrt{40} }$

which when simplified becomes 3.

6 0

3 years ago

¿cuál es el número que no pertenece a esta suceción 99,105111,117,123,129,135,141,147,153

shepuryov [24]

No hay ninguno de los nimbers que no pertenezca a la secuencia.

<h3>¿Qué número no pertenece a la secuencia?</h3>

Sabemos que una secuencia tiene que ver con un arreglo de números en un orden definido. Todos los números en una secuencia deben tener la misma razón común o diferencia común.

Si miramos todos los números que están escritos en la secuencia, la diferencia común aquí es seis. Se sigue entonces que todos los números son parte de la sucesión y no hay ninguno de los números que no pertenezca a la sucesión.

Obtenga más información sobre la secuencia: brainly.com/question/21961097

#SPJ1

7 0

2 years ago