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2 years ago

14

the weight of a person of average build varies directly with the cube of that person's height. use a person 6 feet tall who weig

ht's 200 pounds to find the equation of variation

1 answer:

malfutka [58]2 years ago

6 0

Answer:

24356475869708-9

Step-by-step explanation:

i-3= 47

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A positive real number is 2 less than another. When 4 times the larger is added to the square of the smaller, the result is 49.

Kobotan [32]

Answer:

The numbers are

$-2+3\sqrt{5}$ and $3\sqrt{5}$

Step-by-step explanation:

Let

x -----> the smaller positive real number

y -----> the larger positive real number

we know that

A positive real number is 2 less than another

so

$x=y-2$

$y=x+2$ ----> equation A

When 4 times the larger is added to the square of the smaller, the result is 49

so

$4y+x^2=49$ ----> equation B

substitute equation A in equation B

$4(x+2)+x^2=49$

solve for x

$x^2+4x-41=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^2+4x-41=0$

so

$a=1\\b=4\\c=-41$

substitute in the formula

$x=\frac{-4\pm\sqrt{4^{2}-4(1)(-41)}} {2(1)}$

$x=\frac{-4\pm\sqrt{180}} {2}$

$x=\frac{-4\pm6\sqrt{5}} {2}$

$x=-2\pm3\sqrt{5}$

so

The positive real number is

$x=-2+3\sqrt{5}$

Find the value of y

$y=x+2$

$y=-2+3\sqrt{5}+2$

$y=3\sqrt{5}$

6 0

3 years ago

Eddie earns an hourly wage for delivering pizza. How much will he earn if he delivers pizza for 4 hours?

Nostrana [21]

Depending on the wage so im just gonna use an example to help you
so lets say the wage is $15 per hour
you would multiply 15 by 4 and thers your answer, please state the wage

3 0

3 years ago

Please help Thank yourself

7nadin3 [17]

Answer:

75°

Step-by-step explanation:

There are 180° in a triangle, so using the ratios and the 180° setup an equation. Solve for x.

5x + 9x + 10x = 180

24x = 180

24x/24 = 180/24

x = 7.5

To find the largest angle measure, use 10x since 10 is bigger than 5 and 9.

10x

10(7.5)

75°

7 0

2 years ago

Lillian and Jacob work at a dry cleaners ironing shirts. Lillian can iron 25 shirts per hour, and Jacob can iron 20 shirts per h

vladimir1956 [14]

Answer:

Lillian worked 7h and Jacob worked 6h

Step-by-step explanation:

the number of hours Lillian worked are x (h)

the number of hours Jacob worked are y (h)

(0 < x,y < 13)

=> Lilian ironed: 25x (shirts)

Jacob ỉroned: 20y (shirts)

because Lillian and Jacob worked a combined 13 hours and ironed 295 shirts, we have:

$\left \{ {{x+y=13} \atop {25x+20y=295}} \right. => \left \{ {{x=7} \atop {y=6}} \right.$

so Lillian worked 7h and Jacob worked 6h

8 0

2 years ago

Oblicz.Pamiętaj o kolejności wykonywania działań

SashulF [63]

Answer:

33.275

Step-by-step explanation:

<u>1 step:</u> Difference in brackets

$3.5-2\dfrac{1}{3}=3\dfrac{1}{2}-2\dfrac{1}{3}=(3-2)+\left(\dfrac{1}{2}-\dfrac{1}{3}\right)=1+\dfrac{3-2}{3\cdot 2}=1+\dfrac{1}{6}=1\dfrac{1}{6}$

<u>2 step:</u> $0.75\div\dfrac{1}{3}$

$0.75\div\dfrac{1}{3}=\dfrac{75}{100}\div \dfrac{1}{3}=\dfrac{3}{4}\times \dfrac{3}{1}=\dfrac{9}{4}$

<u>3 step:</u> $1.28\div 0.04$

$1.28\div 0.04=128\div 4=32 \ \text{Move point two decimal places}$

<u>4 step:</u>

$2\dfrac{1}{4}\times 1\dfrac{1}{6}=\dfrac{2\cdot 4+1}{4}\times \dfrac{1\cdot 6+1}{6}=\dfrac{9}{4}\times \dfrac{7}{6}=\dfrac{63}{24}=\dfrac{21}{8}$

<u>5 step:</u>

$\dfrac{9}{4}+32-\dfrac{21}{8}+1.65=(32+1.65)+\left(\dfrac{9}{4}-\dfrac{21}{8}\right)=33.65+\dfrac{9\cdot 2-21}{8}=33.65-\dfrac{3}{8}=33.65-0.375=33.275$

6 0

2 years ago