at the pet fair, Darlene's dog weighed 5 times as much as leah's dog. Together, the dogs weighed 84 pounds. how much did each dog weigh? complete the bar model. write an equation and solve

Answers

Answer 1

Answer: let d = Darlene's dog's weight
let l = Leah's dog's weight
d = 5l
d + l = 84
so, 5l + l = 84, which means 6l= 84
so, l = 84/6 = 14d = 5(14) = 70
Darlene's dog = 70 lbs, Leah's dog = 14 lbs.

Answer 2

Answer:

Leah'sdog weighed 14 pounds and Darlene'sdog weighed 70 pounds.

We have,

Let's represent the weight of Leah's dog as 'x' pounds.

According to the given information,

Darlene's dog weighed 5 times as much as Leah's dog, so the weight of Darlene's dog can be represented as '5x' pounds.

Together, the dogs weighed 84 pounds, so we can set up the equation:

x + 5x = 84

Combining like terms, we have:

6x = 84

To solve for x, we divide both sides of the equation by 6:

x = 84 / 6

x = 14

Therefore,

Leah's dog weighed 14 pounds.

To find the weight of Darlene's dog, we substitute the value of x back into the equation '5x':

5x = 5 * 14 = 70

Therefore,

Darlene's dog weighed 70 pounds.

Thus,

Leah'sdog weighed 14 pounds and Darlene'sdog weighed 70 pounds.

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Polygon ABCD is plotted on a coordinate plane.If the polygon translates 3 units to the left and 1 unit down,the length of diagonal A’C’ is __ units ( 2,3or 6) if the polygon translates 3 units further to the left and four units down, the length of diagonal A’C’ ( increases,decreases or remains the same

Can anyone please solve for x?

Answers

Answer:

x = -3

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

55+54 + x+74 = 180

Combine like terms

183 +x = 180

Subtract 183 from each side

183-183 +x = 180-183

x = -3

Answer:

-3

Step-by-step explanation:

If x + 74 represents the last angle, then it would be -3 as:

a triangle has 180 degrees

55 + 54 = 109

109 + 74 = 183

183 degrees is 3 over the degrees in a triangle, so you subtract 3 from it to make 180

183 - 3 = 180

idk if that's what its asking for though

Charles reads quickly he reads 1 3/7 pages every 2/3 of a minute. how many pages does he read per minute?

Answers

First, I'd suggest finding a common denominator for your two fractions. Since 7 and 3 both go into 21, let's use that.

2/3 becomes 14/21, because 3 x 7 = 21, and 2 x 7 = 14
1 3/7 becomes 1 9/21, because 7 x 3 = 21, and 3 x 3 = 9

Now, to make the rest of it a bit easier, let's turn the fractions into decimals.

14/21 is 0.66
1 9/21 is 1.43

We can then turn this into a ratio, and then write an equation to solve for how many pages Charles reads per minute.

1.43 pages per 0.66 minutes, or 1.43/0.66

The equation to solve for this would then be
$(1.43)/(0.66) = (p)/(1)$
where p is the number of pages.

To solve for p, we simply cross multiply and divide.
1.43 x 1 = 0.66 x p
1.43 = 0.66 x p
1.43 ÷ 0.66 = p
p = 2.17

Charles reads 2.17 pages per minute.

A square piece of fabric has an area of 16x^2+40x+25 square inches. The length of each side of the fabric is cx+d, where c and d are whole numbers. Find an expression for the perimeter of the piece of fabric. Then find the perimeter when x=2.

Answers

$A=(cx+d)^2=c^2x^2+2cdx+d^2\n\nc^2x^2+2xcd+d^2=16x^2+40x+25\n\Downarrow\nc^2=16;\ 2cd=40;\ d^2=25\n\Downarrow\nc=√(16);\ cd=20;\ d=√(25)\n\Downarrow\n\boxed{c=4\ and\ d=5}\n\nThe\ length\ of\ side:cx+d=\boxed{4x+5}\n\nThe\ perimeter\ of\ the\ piece\ of\ fabric:4(4x+5)=\boxed{16x+20}\n\nFor\ x=2:\n16\cdot2+20=32+20=\boxed{52}$

Final answer:

The expression for the perimeter of the fabric is P = 16x+20. When x=2, the perimeter is 52.

Explanation:

To find the expression for the perimeter of the piece of fabric, we need to determine the length of each side of the fabric. The given expression for the area of the fabric is 16x^2+40x+25. We can factor this expression as (4x+5)^2. Since a square has all its sides equal, the length of each side of the fabric is 4x+5.

The perimeter of a square is given by the formula P = 4s, where s is the length of a side. Therefore, the expression for the perimeter of the fabric is P = 4(4x+5) = 16x+20.

To find the perimeter when x=2, we substitute x=2 into the expression for the perimeter: P = 16(2)+20 = 32+20 = 52.

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What is 201.06193 rounded to the nearest tenth?

Answers

The answer would be 201.1, since you use the hundredths to decide if you round the tenths up or down, and since it's a 6 you would round up. Hope this helped :)

Number patterns solve

8 12 18 27

Answers

Each number is 1.5 times the previous one.

8 x 1.5 = 12

12 x 1.5 = 18

18 x 1.5 = 27

The next number after 27 is (1.5 x 27) = 40.5

there are four Defenders on a soccer team that this represents 20% of the players on the team which equation can be used to find the total players on the team plzz help me like this is hard

Answers

4=(total players on the team) x 0.2
(total players on the team) = 4/0.2
(total players on the team) = 20
****
20% is the same as 0.2.
2 is 20% of 10.
to find 10, divide 2 by 0.2
2/0.2=10
4 is 20% of something
to find 'something', divide 4 by 0.2
4/0.2=20

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Y=2x+4y=x=6i need help solving the system of equations

The base of a ladder is placed 5 feet away from a 13 foot tall wall. What is the minimum length ladder needed to reach the top of the wall (rounded to the nearest foot)?