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3 years ago

Add 408 to the difference of 7 000 and 3 096

Mathematics

1 answer:

egoroff_w [7]3 years ago

7 0

Answer:

4312

Step-by-step explanation:

7000-3096=3904

3904+408=4312

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In a parking lot there are totally 70 vehicles, cars and motorcycles. all together they've got 258 wheels. how many cars are the

docker41 [41]

1 car - 4 wheels
1 motorcycle - 2 wheels

x - number of cars
y - number of motorcycles

so, there are 70 vehicles: x + y = 70
and all togeather they've got 258 wheels: 4*x + 2*y = 258
because each car has 4 wheels, so all car wheels = 4*x,
likewise 2*y for motorcycles

x + y = 70 /* 4
4 x + 2y = 258

4 x + 4 y = 280 (R1)
4 x + 2y = 258 (R2)

2y = 22 /:2 it is R1 - R2
x = 70 - y

y = 11 /motorcycles
x = 70 - 11 = 59 /cars

check:
59 + 11 = 70 ok
59 * 4 + 11 * 2 = 236 + 22 = 258 ok

5 0

3 years ago

Cody is cooking pancakes. The recipe calls for 5 3/10 cups of flour. He accidentally put in 8 1/4 cups. How many extra cups did

Eddi Din [679]

Answer:

59/20 cups

Step-by-step explanation:

5 3/10

8 1/4

Common denimainator is 40

5 3/10 = 5 12/40

8 1/4 = 8 10/40

Now we can subtract:

330/40-212/40=118/40

118/40= 59/20 cups

Sorry if I spelled some words wrong

3 0

3 years ago

A typical cup of coffee contains about 100 mg of caffeine and every hour approximately 16% ofthe amount of caffeine inthe body i

Over [174]

Answer:

a) $\frac{dC}{dt} = rC$

And for this case we can rewrite the model like this:

$\frac{dC}{C} = r dt$

If we integrate both sides we got:

$ln C = rt + k$

If we use exponentials for both sides we got:

$C = e^{rt} e^k = C_o e^{rt}$

For this case $C_o = 100 mg$ and r = -0.16

So then our model would be given by:

$C(t) = 100 e^{-0.16 t}$

Where t represent the number of hours

b) $C(5) = 100 e^{-0.16*5}= 44.9329$

Step-by-step explanation:

Part a

For this case we can assume the proportional model given by:

$\frac{dC}{dt} = rC$

And for this case we can rewrite the model like this:

$\frac{dC}{C} = r dt$

If we integrate both sides we got:

$ln C = rt + k$

If we use exponentials for both sides we got:

$C = e^{rt} e^k = C_o e^{rt}$

For this case $C_o = 100 mg$ and r = -0.16

So then our model would be given by:

$C(t) = 100 e^{-0.16 t}$

Where t represent the number of hours

Part b

For this case we can replace the value t=5 into the model and we got:

$C(5) = 100 e^{-0.16*5}= 44.9329$

7 0

3 years ago

Daniel wants to create a banner for his construction business to hang at the house he just built. Daniel will use a single sign

Nina [5.8K]

The solution for this problem is just simple. It tells you to find the area in square feet. Thus, convert the units to feet first. The conversion you need to know are: 12 in = 1 ft and 3 ft = 1 yard.

Width = 42 in * 1 ft/12 in = 3.5 ft
Length = 10 yards * 3 ft/1 yard = 30 ft

Area = Length*Width = 30*3.5
<em>Area = 105 ft²</em>

3 0

3 years ago

The radius of a cylindrical gift box is (2x+3) in. The height of the gift box is twice the radius. What is the surface area of t

inessss [21]

SA=2pir^2+2hpir=2pir(r+h)
h=2r=2(2x+3)=4x+6

SA=2pi(2x+3)(2x+3+4x+6)
SA=(4x+6)(pi)(6x+9)
SA=24πx²+27πx+54π

3 0

3 years ago

Add 408 to the difference of 7 000 and 3 096​

Add 408 to the difference of 7 000 and 3 096