Eduardo rides his bicycle for 6 hours. What was Eduardo's average speed if he rides a distance of 84 miles? Use the formula d = r x t.

Answers

Answer 1

Answer: d = r x t
replace the d with 84 and replace the t with 6 hours
divide 84 by 6 = 84/6
get the quotient 14
84 = 14 x 6

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WILL GIVE POINTS: A pink paint mixture uses 4 cups of white paint for every 3 cups of red paint, the table shows different quantities for the same shade of pink. Complete the table.

Answers

Answer:

if red = 1 white = 4/3 or 1 1/3

if white = 1 red = 3/4

if red = 4 white = = 16/3 = 5 1/3

if white = 5 red = 15/4 = 3 3/4

Step-by-step explanation:

white 4

--------= ---------

red 3

if red = 1

white 4

--------= ---------

1 3

using cross products

white *3 = 4*1

divide by 3

white = 4/3

if white = 1

1 4

--------= ---------

red 3

using cross products

3*1 = 4* red

divide by 4

3/4 = red

if red = 4

white 4

--------= ---------

4 3

using cross products

white *3 = 4*4

white *3 = 16

divide by 3

white = 16/3 = 5 1/3

if white = 5

5 4

--------= ---------

red 3

using cross products

3*5 = 4* red

15 = 4 * red

divide by 4

15/4 = red

3 3/4 = red

PROBLEM:1 WHITE PAINT PINK PAINT

(CUPS) (CUPS)

4 3

4/3 1

1 3/4

16/3 4

5 15/4

Which of the following is an equivalent form of the compound inequality −22 > −5x − 7 ≥ −3?A) −5x − 7 < −22 and −5x − 7 ≥ −3
B) −5x − 7 > −22 and −5x − 7 ≥ −3
C) −5x > −22 and −7 ≥ −3
D) −5x − 7 < −22 and −5x − 7 ≤ −3

Answers

The equivalent form of the compound inequality −22 > −5x − 7 ≥ −3 are A) −5x − 7 < −22 and −5x − 7 ≥ −3

What is a solution set to an inequality or an equation?

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality.

Then a Set of such values is called solution set to the considered equation or inequality.

The equivalent form of the given inequality can be obtained by dividing the inequality into two parts.

In this case, we are given -22 > -5x - 7 > -3.

The two parts are; -22 > -5x - 7 and -5x - 7 > -3.

Since the −5x − 7 and −22 have interchanged sides, the inequality sign also changes direction.

For part two, we have −5x − 7 ≥ −3 remains unchanged.

Therefore, The choice that reflects these parts is A)-5x - 7 < -22 and -5x - 7 -3

Hence, The equivalent form of the compound inequality −22 > −5x − 7 ≥ −3 are A) −5x − 7 < −22 and −5x − 7 ≥ −3

Learn more about inequalities here:

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A) −5x − 7 < −22 and −5x − 7 ≥ −3

Working;
Since the −5x − 7 and −22 have interchanged sides, the inequality sign also changes direction.

For part two, −5x − 7 ≥ −3 remains unchanged.

¿Cómo simplifico 57/10?

Answers

Answer:

Step-by-step explanation:

57/10 cannot be simplified

but the decimal answer is 5.7

Cameron opens a checking account and a savings account at his local bank. He deposits $10,000 into his checking account and $2,000 into his savings account. He will withdraw $1,200 from his checking account each year. His savings account earns 8% interest each year. In how many years will both accounts have the same balance?

Answers

The correct answer is:
5.9 years.

Explanation:
Let x be the number of years. For the checking account, our expression would be 10000-1200x, since he withdraws $1200 from his account each year, and he begins with $10,000.

The formula for simple interest is:
I=prt
where:
p is the principal, r is the rate and t is the time

using our information, we have
p=2000,
r=8%=8/100=0.08, and
t=x.

This gives us 2000(0.08)(x).
However, we must add the $2000 to this (interest is added on to the principal); this gives us:
2000+2000(0.08)(x).

Setting these two equal, we have:
10000-1200x = 2000+2000(0.08)(x).

Simplifying the right hand side, we have:
10000-1200x=2000+160x.

Add 1200x to both sides:
10000-1200x+1200x=2000+160x+2000x;
10000=2000+1360x.

Subtract 2000 from both sides:
10000-2000=2000+1360x-2000;
8000=1360x.

Divide both sides by 1360:
$(8000)/(1360) = (1360x)/(1360)$ ;
5.9=x.

Let x be the number of needed years.

1. He deposits $10,000 into his checking account and he will withdraw $1,200 from his checking account each year. Then after x years he will have $10,000-$1,200x in his checking account.

2. He deposits $2,000 into his savings account and his savings account earns 8% interest each year, then after x years he will have $\$2,000\cdot (1.08)^x.$

3. Equate these amounts of money:

$10,000-1,200x=2,000\cdot (1.08)^x.$

4. Solve this equation:

divide the equation by 400:

$25-3x=5\cdot (1.08)^x;$

plot graphs of the function $y=25-3x$ and $y=5\cdot (1.08)^x$ (see attached diagram);
find the common point of these two graphs: (6.663,5.01).

Conclusion: he needs nearly 6.663 years.

In march, a customer spent $8.55 at an office-supply store for some 12-packs of pens. At that time, the store was selling packages of one dozen pens for $1.35. Any customer who bought more than 4 packages, received a discount of $0.30 on the price of each package in excess of 4 packages. In september, the same customer went back to the store to buy the same number of pens. By then, the price per 12-pack of pens had been raised to $1.50 each, with the same discount for more than 4 packages. How much more did the customer have to pay in September than in March?

Answers

We can start by making an equation from the information given on the month of March to find how many packs he bought.
$4(1.35)+x(1.05)=8.55$ This equation shows that for the first 4 packs he bought, he payed $1.35. Then, consequently, for each pack after that, he payed $0.30 less, and we don't know how many more he bought, so we set it up as shown. Finally, we set it all equal to $8.55 since that's how much he payed that month. We get that x=3, meaning that he bought a total of 7 packs of pens that month.
Knowing this, we can now make an equation for the month of September.
$4(1.50)+3(1.20)=x$ This time, we know the entire left side, that he paid $1.50 for the first 4 packs and $0.30 less for the last 3. We get x=$9.60
Knowing this, we can subtract the amount he paid in September by the amount he paid in March to get the answer... $9.60-$8.55=$1.05

I hope this helped!

Fred can drink 8 3/4 sodas in 5 minutes at thus rate how many sodas can fred drink in 2mintues

Answers

He can drink 2/5 of the 8 3/4 sodas.

$(2)/(5) x 8 (3)/(4) = (2)/(5) x (35)/(4)$

The answer is 7/2 or 3 1/2 sodas.

Of course, Fred would be better off is he drank water instead of soda. :-)

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