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iogann1982 [59]

3 years ago

13

Susie has an 1:80 scale drawing of the floor plan of the Shopper’s Corner store. On the floor plan, the dimensions of the store

are 1 7/8 inches by 2 1/4 inches.

1 answer:

aivan3 [116]3 years ago

8 0

The link is up top so you can look at it

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Solve the system:<br> y = 3x<br> -x + 2y=5<br><br> (_,_)

kakasveta [241]

Answer:

(5, 15)

Step-by-step explanation:

-x + 6x = 5

5x = 5

x = 5

y = 3 (5)

y = 15

You can substitute 6x for 2y because it says y = 3x. So 2y is gonna be 6x because you have to multiply it by 2 since it's 2y not just y.

8 0

2 years ago

Mr. Sands drove 15 miles to the airport. When he was 3/5 of the way, he stopped for gasoline. How far did Mr. Sands drive before

irinina [24]

Answer:

9 miles

Step-by-step explanation:

15/5=3

so 3x3= 9 miles

3 0

3 years ago

Use the diagram to answer the following questions.125°Lx2X+10NmZNPMdegreesmZLPMdegrees

lutik1710 [3]

For the angle MPN we know that is oposite to the angle QPL so the will be equal so:

$\angle MPN=125º$

Now with the value of MPN we can made an equation for x so:

$125=2x+10$

and we solve for x

$\begin{gathered} 125-10=2x \\ \frac{115}{2}=x \\ 57.5=x \end{gathered}$

and the angle LPM will be the complementari angle of 125 so:

$\begin{gathered} \angle LPM=180-125 \\ \angle LPM=55º \end{gathered}$

4 0

1 year ago

The town recreation department ordered a total of 100 baseballs and bats for the summer.Baseballs cost $4.50 each and bats cost

Romashka [77]

Answer:

The town recreation department ordered 66 baseballs and 24 bats.

Step-by-step explanation:

Let the number of baseball be 'x'.

Also Let the number of bats be 'y'.

Given:

Total items bought = 100

Now we can say that;

Total items bought is equal to sum of number of baseball and number of bats.

Framing in equation form we get;

$x+y =100 \ \ \ \ equation \ 1$

Also Given:

Cost of each baseball = $4.50

Cost of each bat = $20

Total purchase = $822

Now we can say that;

Total Purchase is equal to to sum of number of baseball multiplied by Cost of each baseball and number of bats multiplied by Cost of each bat.

framing in equation form we get;

$4.5x+20y =822 \ \ \ \ equation\ 2$

Multiplying equation 1 by 4.5 we get;

$4.5(x+y) =100\times4.5\\\\4.5x+4.5y = 450 \ \ \ \ equation \ 3$

Now Subtracting equation 3 from equation 2 we get;

$(4.5x+20y)-(4.5x+4.5y) = 822-450\\\\4.5x+20y-4.5x-4.5y =372\\\\15.5y = 372$

Dividing both side by 15.5 we get;

$\frac{15.5y}{15.5}= \frac{372}{15.5}\\ \\y =24$

Substituting the value of y in equation 1 we get;

$x+y =100\\\\x+24 =100\\\\x =100-24 =66$

Hence the town recreation department ordered 66 baseballs and 24 bats.

5 0

2 years ago

We take a milk carton from the refrigerator and put it on the table at room temperature. We assume that the temperature of the c

Kisachek [45]

We can solve this problem using separation of variables.

Then apply the initial conditions

EXPLANATION

We were given the first order differential equation

$\frac{dT}{dt}=k(T-a)$

We now separate the time and the temperature variables as follows,

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

Integrating both sides of the differential equation, we obtain;

$ln(T-a)=kt +c$

This natural logarithmic equation can be rewritten as;

$T-a=e^{kt +c}$

Applying the laws of exponents, we obtain,

$T-a=e^{kt}\times e^{c}$

$T-a=e^{c}e^{kt}$

We were given the initial conditions,

$T(0)=4$

Let us apply this condition to obtain;

$4-20=e^{c}e^{k(0)}$

$-16=e^{c}$

Now our equation, becomes

$T-a=-16e^{kt}$

or

$T=a-16e^{kt}$

When we substitute a=20,
we obtain,

$T=20-16e^{kt}$

b) We were also given that,

$T(5)=8$

Let us apply this condition again to find k.

$8=20-16e^{5k}$

This implied

$-12=-16e^{5k}$

$\frac{-12}{-16}=e^{5k}$

$\frac{3}{4}=e^{5k}$

We take logarithm to base e of both sides,

$ln(\frac{3}{4})=5k$

This implies that,

$\frac{ln(\frac{3}{4})}{5}=k$

$k=-0.2877$

After 15 minutes, the temperature will be,

$T=20-16e^{-0.2877\times 15}$

$T=20-0.21376$

$T=19.786$

After 15 minutes, the temperature is approximately 20°C

6 0

3 years ago