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EastWind [94]
4 years ago
6

Las Vegas, Nevada and Phoenix, Arizona are 290 miles apart. If it takes a driver 4.5 hours to drive from Las Vegas to Phoenix, w

hat was her average rate, to the nearest tenth?
Mathematics
1 answer:
Furkat [3]4 years ago
5 0

Answer:

64.4 miles per hour

Step-by-step explanation:

divide the amount of miles by the amount of hours to get miles per hour

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78×13-8×78+26×78-78=
Amanda [17]

Applying BODMAS (Order of operations rule)

Where: B is for brackets

O is for 'of' which means multiplication

D is for division

M is for multiplication

A is for addition

S is for subtraction

<u>In this case:</u>

We start with addition then we go to addition and finally we subtract.

(78 × 13) - (8 × 78) + (26 × 78) - 78

= 1014 - 624 + 2028 - 78

= 1014 + 2028 - 624 - 78

= 3042 - 624 - 78

=2340

7 0
4 years ago
Read 2 more answers
a) 3∕5= 60∕100= 40% (resolvido) b) 11∕4= c) 4∕20= d) 9∕5= e) 10∕200= 5∕100= 5% (resolvido) f) 8∕200= g) 30∕300=
Assoli18 [71]

Answer:

En cada expresión queremos obtener 100 en el denominador.

Notar que en la primer eq. tendríamos:

a) 3/5 = (20/20)*(3/5) = (20*3)/(20*5) = 60/100 = 0.6  (corresponde a 60%)

b) 11/4 = ?

Acá el denominador es 4

tenemos que encontrar un número k tal que:

k*4 = 100

k = 100/4 = 25

Entonces podemos multiplicar denominador y numerador por 25.

11/4 = (25/25)*(11/4) = (25*11)/(25*4) = 275/100 = 2.75 (corresponde a 275%)

c) 4/20

el denominador es 20, entonces tenemos que resolver:

20*k = 100

k = 100/20 = 5

multiplicamos denominador y numerador por 5:

(5/5)*(4/20) = (5*4)/(5*20)  =  20/100 = 0.2  (corresponde al 20%)

d) 9/5

el denominador es 5, entonces debemos resolver:

5*k = 100

k = 100/5 = 20

Debemos multiplicar denominador y numerador por 20

(20/20)*(9/5) = (20*9)/(20*5) = 180/100 = 1.8  (corresponde a 180%)

e) 10/200 = 5/100 = 0.05  (corresponde al 5%)

f) 8/200

Se resuelve de similar forma al de arriba (que ya tenias resuelto).

Aca el denominador eso 200, entonces tenemos que tener:

200*k = 100

k = 100/200 = 1/2

Entonces multiplicamos numerador y denominador por 1/2

(1/2/1/2)*(8/200) = (8*1/2)/(200*1/2) = 4/100 = 0.04 (corresponde al 4%)

g) 30/300

aca el denominador es 300

Entonces:

300*k = 100

k = 100/300 = 1/3

Multiplicamos numerador y denominador por 1/3

(1/3/1/3)*(30/300) = (30*1/3)/(300*1/3) = 10/100 = 0.1  (corresponde al 10%)

3 0
3 years ago
*WILL MARK BRAINLIEST* 15 POINTS<br> Match each word to its correct definition:
IgorC [24]

Answer:

2  

3

1

4

Step-by-step explanation:

Angles that add up to 90 are Complementary angles.

Two angles that have a common vertex and a common side but do not overlap are Adjacent angles.

Angles that are opposite each other and have the same measurment are vertical angles.

Angles that add up to 180 are Supplementary angles.

Hope this helps!! :D

7 0
3 years ago
Read 2 more answers
If (x+2) is a factor of x^3-6x^2+kx+10, k=
Alja [10]
If a binomial (x-a) is a factor of a polynomial, then a is a root of this polynomial.

(x+2)=(x-(-2)) \Rightarrow a=-2\\\\&#10;(-2)^3-6\cdot(-2)^2+k\cdot(-2)+10=0\\&#10;-8-24-2k+10=0\\&#10;-2k=22\\\&#10;\boxed{k=-11}&#10;

3 0
3 years ago
I need help with this question
dybincka [34]

Divide x by y and compare:

5/1 = 5

10/2 = 5

20/4 = 5

All 3 are the same number so yes the rate of change is constant.

8 0
2 years ago
Read 2 more answers
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