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3 years ago

Write an equivalent expression to present patricia total earnings this week 7h + 135 + 5h = ?h + ?

Mathematics

1 answer:

Paul [167]3 years ago

8 0

Answer: 12 h + 135

Step-by-step explanation: 7h +135 + 5h = ?h + ?

7h +5h +135

=12h +135

So u combine like terms together which are 7h and 5h which gives you 12 h.And then you have 135 left,so you add 12h to 135.

Ps.If you don't know what like terms are.I will explain down below.

Like terms are variable that are the same.For an example 4y and 3y are like terms .Another example is 1/3 xy and 6xy .

Hope this helps :) and if it does please give brainliest .

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1. Dorothy bought a teddy bear and sold it at a 20% profit to Kim. Kim bought a suit costing $100 and dressed the teddy bear up

makkiz [27]

1. Dorothy paid $200 for the teddy bear

2. y is more than x by $33\frac{1}{3}$ %

Step-by-step explanation:

1. The given is:

Dorothy bought a teddy bear and sold it at a 20% profit to Kim
Kim bought a suit costing $100 and dressed the teddy bear up in the suit
Kim then sold the teddy bear in the suit to Karen for $442
Kim made a profit of 30%

We need to find how much Dorothy paid for the teddy bear

Assume that Dorothy bought a teddy bear for $x

∵ Dorothy bought a teddy bear for $x

∵ She sold it at a profit 20% to Kim

By using the ratio method

→ Buying price : Profit : Selling price

→ 100% : 20% : 120% ⇒ (100% + 20%)

→ x : : ?

By using cross multiplication

∴ 100% × Selling price = x × 120%

- Divide both sides by 100%

∴ Selling price = 1.2x

∴ Dorothy sold the teddy bear for $1.2x to Kim

∵ Kim bought a suit costing $100 and dressed the teddy bear

up in the suit

∴ The cost of the teddy bear = 1.2x + 100

∵ Kim sold the teddy bear in the suit to Karen for $442

∵ Kim made a profit of 30%

By using the ratio method

→ Cost price : Profit : Selling price

→ 100% : 30% : 130% ⇒ (100% + 30%)

→ 1.2x + 100 : : 442

By using cross multiplication

∴ (1.2x + 100) × 130% = 100% × 422

- Divide both sides by 130%

∴ 1.2x + 100 = 340

- Subtract 100 from both sides

∴ 1.2x = 240

- Divide both sides by 1.2

∴ x = 200

∴ Dorothy bought the teddy bear for $200

Dorothy paid $200 for the teddy bear

2. The given is:

x is less than y by 25%
Then y is more than x by how many percent

Assume that y is 100%

∵ y = 100%

∵ x is less than y by 25%

∴ x = 100% - 25%

∴ x = 75%

- The percentage of increasing of y = $\frac{y-x}{x}$ × 100%

∵ The percentage of increasing of y = $\frac{100-75}{75}$ × 100%

∴ The percentage of increasing of y = $\frac{25}{75}$ × 100%

∴ The percentage of increasing of y = $\frac{1}{3}$ × 100%

∴ The percentage of increasing of y = $33\frac{1}{3}$ %

y is more than x by $33\frac{1}{3}$ %

Learn more:

You can learn more about the ratio in brainly.com/question/4713715

#LearnwithBrainly

6 0

3 years ago

One of the factors of 4x^2-9 is<br> (1)x+3<br> (2)2x+3<br> (3)4x-3<br> (4)x-3

slava [35]

Answer:

$2x+3$

Step-by-step explanation:

$4x^2-9=(2x)^2 -3^2=(2x-3)(2x+3)$

8 0

2 years ago

Read 2 more answers

There are 3 red and 8 green balls in a bag. If you randomly choose balls one at a time, with replacement, what is the probabilit

Kaylis [27]

So, the total number of balls is 11. We want to pick 2 red balls and 1 green ball. WLOG (since order doesnt matter here), we can say he picks red, green, red. That means on his first pick, he has a $\frac{3}{11}$ chance of picking the red ball, and he places it back in the bag. The probability of picking a green ball is $\frac{8}{11}$ , and then he places the ball back in the bag. The probability of picking the last red ball is the same as the last red ball example, and we simply multiply the probabilities together as per the multiplication rule to get:

$\frac{3}{11}\frac{3}{11}\frac{8}{11}=\frac{3*3*8}{11^3}=\frac{72}{1331}$

Now, without replacement the order does matter. He picks a red ball, a red ball then a green ball. The probability of picking the first red ball is $\frac{2}{11}$ , and the probability of picking the second red ball is $\frac{1}{10}$ and the probability of picking the green ball is $\frac{1}{9}$ . We want to multiply thm again, as per the multiplication rule like the last problem.