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3 years ago

When 4(0.5x+2.5y-0.7x-1.3y+4)is simplified, what is the resulting expression?

Mathematics

2 answers:

ANTONII [103]3 years ago

4 0

Answer:

Resulting expression is - 0.8x + 4.8y +16.

Step-by-step explanation:

Given : 4(0.5x+2.5y-0.7x-1.3y+4).

To find : what is the resulting expression.

Solution : We have given that 4(0.5x+2.5y-0.7x-1.3y+4).

First we will solve the parenthesis by combine like terms:

4( 0.5x - 0.7x +2.5y -1.3y +4).

4( - 0.2x + 1.2y +4).

Now distributes 4 over parenthesis's terms

- 0.8x + 4.8y +16

Therefore, Resulting expression is - 0.8x + 4.8y +16.

Wittaler [7]3 years ago

3 0

2x+10y-2.8x-5.2y+16=

-0.8x+4.8y+16

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7) Write as a numeral:<br> 40,000 + 7,000 + 600 + 40 + 3

Diano4ka-milaya [45]

Answer:

47,643

Step-by-step explanation:

This question is basically asking you to add up all of these numbers together and present the end result.

1) 40,000 + 7,000 = 47,000

2) 600 + 40 + 3 = 643

3) 47,000 + 643 = 47,643.

5 0

3 years ago

Solve this proportion: 8/x = 2/5. x =

Taya2010 [7]

8/x= 2/5

8•5= 2•x

40=2x

40/2= x

20= x

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3 years ago

A large tank is filled to capacity with 300 gallons of pure water. brine containing 5 pounds of salt per gallon is pumped into t

Licemer1 [7]

If $A(t)$ is the amount of salt in the tank at time $t$ , then the rate at which this amount changes over time is given by the ODE

$A'(t)=\dfrac{3\text{ gal}}{1\text{ min}}\cdot\dfrac{5\text{ lb}}{1\text{ gal}}-\dfrac{3\text{ gal}}{1\text{ min}}\cdot\dfrac{A(t)\text{ lb}}{300+(3-3)t\text{ gal}}$

$A'(t)+\dfrac1{100}A(t)=15$

We're told that the tank initially starts with no salt in the water, so $A(0)=0$ .

Multiply both sides by an integrating factor, $e^{t/100}$ :

$e^{t/100}A'(t)+\dfrac1{100}e^{t/100}A(t)=15e^{t/100}$
$\left(e^{t/100}A(t)\right)'=15e^{t/100}$
$e^{t/100}A(t)=1500e^{t/100}+C$
$A(t)=1500+Ce^{-t/100}$

Since $A(0)=0$ , we have

$0=1500+C\implies C=-1500$

so that the amount of salt in the tank over time is given by

$A(t)=1500(1-e^{-t/100})$

After 10 minutes, the amount of salt in the tank is

$A(10)=1500(1-e^{-1/10})\approx142.74\text{ lb}$

8 0

4 years ago

1. The sum of four consecutive whole numbers is 110. What is the sum of the least and the greatest of the four numbers?

Trava [24]

Answer:

Step-by-step explanation:

the four number is 26+27+28+29

so 26+29=55

3 0

3 years ago

Three siblings- Kate, Sarah, and Dave- committed themselves to volunteer 160 hours for a homeless charity to build new housing .

liraira [26]

Kate worked for 50 hours, Dave worked for 65 hours and Sarah

worked for 45 hours

Step-by-step explanation:

Three siblings- Kate, Sarah, and Dave- committed themselves to

volunteer 160 hours for a homeless charity to build new housing

1. Dave worked 15 hours more than Kate

2. Sarah worked 5 hours fewer than Kate

3. The total hours for them is 160 hours

Assume that Kate worked for x hours

∵ Kate worked for x hours

∵ Dave worked 15 hours more than Kate

∴ Dave worked for x + 15 hours

∵ Sarah worked 5 hours fewer than Kate

∴ Sarah worked x - 5 hours

∵ They worked for 160 hours

- Add the number of worked hours of them and equate the sum

by 160

∴ x + x + 15 + x - 5 = 160

- Add like terms in the left hand side

∴ 3x + 10 = 160

- Subtract 10 from both sides

∴ 3x = 150

- Divide both sides by 3

∴ x = 50 hours

∵ Kate worked for x hours

∴ Kate worked for 50 hours

∵ Dave worked for x + 15 hours

∴ Dave worked for 50 + 15 = 65 hours

∵ Sarah worked for x - 5 hours

∴ Sarah worked for 50 - 5 = 45 hours

Kate worked for 50 hours, Dave worked for 65 hours and Sarah

worked for 45 hours

Learn more:

You can learn more about equation in brainly.com/question/11229113

#LearnwithBrainly

6 0

4 years ago