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2 years ago

Please help step by step plz and thank you

Mathematics

1 answer:

sertanlavr [38]2 years ago

8 0

4 pints of ice cream are used for 6 sundaes

So,

6 sundaes = 4 pints of ice cream

=> 1 sundaes = 4 pints of ice cream/6

=> 1 sundaes = 4/6 pints of ice cream

=> 1 sundaes = 0.66666... pints of ice cream

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The variables y and x have a proportional relationship, and y = 7 when x = 2. What is the value of y when x = 5? Enter your answ

Vsevolod [243]

Answer:

17.5

Step-by-step explanation:

Given that the variables x and y have a proportional relationship.

i.e. y is directly proportional to x or can be written as

y = mx where m is the constant of proportionality.

When x =2, y =7

Substitute this to get the value of m.

7 =2m or m = 3.5

Thus the relationship between x and y is

y = 3.5x

So when x=5, y = 3.5(5) = 17.5

3 0

3 years ago

an initial population of 5 squirrels increases by 9% each year for 10 years.using x for years and y for the number of squirrels,

ivann1987 [24]

Answer:

Equation: y(1.09)^x

After 10 years there will be about 12 squirrels.

Step-by-step explanation:

y(1.09)^x

=5(1.09)^10

=(approx.) 12 squirrels

5 0

2 years ago

Your basketball team scored 4 fewer than twice as many points, x, as the other team. write an expression for the number of point

Ksju [112]

2x-4
If x is the amount the other team scored then the 2x is double. This gives that 4 less than double the amount of the other team would be minus 4

8 0

2 years ago

Simplify this problem

Helga [31]

Answer:

c^2 +17c -5

Step-by-step explanation:

I like to line them up vertically

2c^2 +7c - 1

- (c^2 -10c+4)

----------------------

Distribute the minus sign

2c^2 +7c - 1

- c^2 +10c-4

----------------------

c^2 +17c -5

8 0

2 years ago

A detective finds a victim of murder at 9 am. At that time, the temperature of the body is 90.3 degrees F. One hour later, the b

LekaFEV [45]

Answer:

Step-by-step explanation:

Given

at 9 am temperature of the body is $90.3^{\circ}F$

1 hr later temperature $89^{\circ}F$

Temperature of room $T=68^{\circ}F$

According to newtons law

$\frac{\mathrm{d} T}{\mathrm{d} t}=-k\left ( T-T_{room}\right )$

$\frac{\mathrm{d} T}{\mathrm{d} t}=-k\left ( T-68\right )$

$\frac{dT}{T-68}=-kdt$

Integrating

$=\int \frac{dT}{T-68}=-kdt$

$\ln |T-68|=-kt+c$

$T-68=Ae^{-kt}$

Now at 9 am i.e. t=0,

$90.3=A+68$

$A=22.3$

At 10 am i.e. t=1 hr T=89

$89-68=22.3e^{-k}$

$e^{-k}=21$

$k=0.06006$

Temperature of Normal human body is $T=98.6 ^{\circ}F$

$98.6-68=e^{-0.06006t}$

$30.6=e^{-0.06006t}$

Taking log both sides

$t=-5.27$

i.e. 5 hr and 16.2 min

i.e. victim murdered at 3 am and 43.8 min

7 0

3 years ago