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mel-nik [20]
3 years ago
8

Lisa and her daughter weigh 185 pounds all together. The ratio of lisa’s weight to her daughter weight is 4:1 . How much does li

sa weight ? How much does her daughter weigh
Mathematics
1 answer:
frez [133]3 years ago
5 0

Since the ratio of mother to daughter is 4:1, the weight of the mother and daughter together is five times the weight of the daughter.

In fact, if the daughter weights d pound, the mother weights 4d pounds, and the total weight is d+4d = 5d.

We know that this total is 185 pounds, so we have

5d = 185 \iff d = \dfrac{185}{5} = 37

So, the daughter weights 37 pounds.

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One bricklayer can build a wall in 6 hours. Another bricklayer could build the same wall in 4 hours. If they work together, how
Natasha2012 [34]

Answer:

they work together, it will take 2.4 hours to build the wall.

Step-by-step explanation:

One bricklayer can build a wall in 6 hours.

One hour work = \frac{1}{6}

Another bricklayer can build the same wall in 4 hours.

One hour work = \frac{1}{4}

They can together, how long will take them to build the wall.

Let's take "t" the time taken to build the wall.

The sum of their work rate = 1 (To build the wall)

\frac{t}{6} + \frac{t}{4} = 1

Now we have to solve this equation. Take LCD of 6 and 4.

The LCD (least common divisor) of 6 and 4 is 12.

\frac{2t + 3t}{12} = 1

5t = 12*1

5t = 12

Dividing both sides by 5, we get

t = \frac{12}{5}

t = 2.4 hours.

So, they work together, it will take 2.4 hours to build the wall.

6 0
3 years ago
An art gallery sells paintings at $0.35 per square inch. if a painting is 2 feet 3 inches by 3 feet 5 inches, how much would the
sweet-ann [11.9K]
The painting would cost $ 387.45. Because 2'3"=24"+3"=27 inches and<span>3'5"=36"+5"=41 inches. The area will 1107 when 27 is multiplied with 41. The cost is obtained through multiplying 0.35 and 1107. Their product is 387.45. The painting costs $ 387.45

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4 0
3 years ago
Read 2 more answers
Maria and Katy each have a piece of string. When they put the two pieces of string together end to end, the total length is 84in
kramer

Maria's piece is 45 inches long

Katy's piece is 39 inches long

Step-by-step explanation:

Maria and Katy each have a piece of string

  • When they put the two pieces of string together end to end, the total length is 84 inches
  • Maria’s string is 6 inches longer than Katy’s

We need to find how long is Maria’s piece of string and how long is Katy’s piece of string

Assume that the length of Maria's piece is x inches and the length of Katy's piece is y inches

∵ Maria's piece is x inches

∵ Katy's piece is y inches

∵ The total length of the two pieces is 84 inches

- Add x and y, then equate the sum by 84

∴ x + y = 84 ⇒ (1)

∵ Maria’s string is 6 inches longer than Katy’s

- That means equate x by the sum of y and 6

∴ x = y + 6 ⇒ (2)

Now we have a system of equations to solve it

Substitute x in equation (1) by equation (2)

∴ (y + 6) + y = 84

- Add the like terms in the left hand side

∴ 2y + 6 = 84

- Subtract 6 from both sides

∴ 2y = 78

- Divide both sides by 2

∴ y = 39

- Substitute the value of y in equation (2) to find x

∵ x = 39 + 6

∴ x = 45

Maria's piece is 45 inches long

Katy's piece is 39 inches long

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

3 0
3 years ago
Which of the sets of ordered pairs represents a function?
Hitman42 [59]

Answer:

Both A and B

Step-by-step explanation:

7 0
3 years ago
Circle all the words that describe the quadrilateral
BartSMP [9]
#3 is rhombus and trapezoid:)
6 0
3 years ago
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