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Triss [41]
3 years ago
9

Max bought three items for $18.95 each and two items for $26.71 each. How much change would he get from $500 ?

Mathematics
1 answer:
posledela3 years ago
5 0

Answer:

$389.73 in change

Step-by-step explanation

500-( (18.95 x 3)+(26.71 x 2) )=

500-(56.85+53.42)=

500-110.27=

389.73

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At higher altitudes, water boils at lower temperatures. This relationship between altitude and boiling point is linear. At an al
Mashutka [201]

Let's assume

boiling point is y

altitude is x

we are given

This relationship between altitude and boiling point is linear

At an altitude of 1000 feet, water boils at 210°F

so, first point is (1000,210)

so, x1=1000 , y1=210

At an altitude of 3000 feet, water boils at 206°F

so, second point is (3000,206)

so, x2=3000,y2=206

now, we can find slope

m=\frac{y_2-y_1}{x_2-x_1}

now, we can plug values

m=\frac{206-210}{3000-1000}

m=-\frac{1}{500}

now, we can use point slope form of line

y-y_1=m(x-x_1)

so, we can plug it

y-210=-\frac{1}{500}(x-1000)

so, point slope form of line is

y-210=-\frac{1}{500}(x-1000)

now, we can plug x=8000

and then we can solve for y

y-210=-\frac{1}{500}(8000-1000)

y=196

So,

the boiling point of water at an altitude of 8000 feet is 196°F..........Answer

4 0
3 years ago
Read 2 more answers
Represent the following expressions as a power of the number a (a≠0): c ((a2)−2)5÷(a4a)3
s2008m [1.1K]

Answer:

1/a²⁷

Step-by-step explanation:

Given: $ \frac{((a^2)^{-2})^5}{a^4.a^3} $

We know that when the bases are same the powers can be added. i.,e.,

                                           (xᵃ)ᵇ = x ⁽ᵃ ⁺ ᵇ⁾

⇒ $ \frac{((a^2)^{-2})^5}{a^4.a^3} \implies \frac{(a^2)^{-10}}{a^7} $

$  \implies \frac{a^{-20}}{a^7} = a^{-20 - 7} = a^{-27} $

Also, $ \frac{x^a}{x^b} = x^{a - b} $

This is nothing but, $ \frac{1}{a^{27}} $.

Note that $ a $ cannot be zero here. The condition is provided in the question as well.

7 0
3 years ago
Pratap Puri rowed 14 miles down a river in 2 ​hours, but the return trip took him 3 and one half hours. Find the rate Pratap can
SOVA2 [1]

speed of current is 1.5 mi/hr

Answer:

let the rate in still water be x and rate of the current be y.

speed down the river is:

speed=distance/time

speed=14/2=7 mi/h

speed up the river is:

speed=(14)/(3.5)=4 mi/hr

thus total speed downstream and upstream will be:

x+y=7...i

x-y=4.......ii

adding the above equations i and ii we get:

2x=11

x=5.5 mi/hr

thus

y=5-5.5=1.5 mi/r

thus the speed in still waters is 5.5 mi/hr

speed of current is 1.5 mi/hr

7 0
2 years ago
Me puede ayudar con esto porfa.
dsp73

Answer:

La respuesta correcta es la opción d) 5 a 1.

Step-by-step explanation:

Para calcular la relación entre los ingresos de Mary en 2019 (I_{2019}) con respecto a sus ingresos en 2018 (I_{2018}), partimos de que los ingresos de Mary en 2019 fueron un 20% mayores que sus ingresos en 2018:

I_{2019} = 20\% \: I_{2018}      

I_{2019} = \frac{20}{100}I_{2018}      

\frac{100}{20}I_{2019} = I_{2018}        

5I_{2019} = I_{2018}                  

Entonces, la relación entre los ingresos de Mary en 2019 es 5 veces los ingresos de Mary en 2018. Por lo tanto, la respuesta correcta es la opción d) 5 a 1.

Espero que te sea de utilidad!        

4 0
3 years ago
What is 8x6+2x7=350 ?
GaryK [48]

use pemdas

8 * 6 + 2 * 7 =

48 + 14 =

62

6 0
3 years ago
Read 2 more answers
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