MATHEMATICS MIDDLE SCHOOL

2. A home furnishing store sells 6 chairs for $900. Martin buys 2 such chairs for her new home. How much did she spend on the purchase?3. Sam can prepare 20 wall paintings in four weeks. How much time will he need to prepare 80 wall paintings?

4. Sonya can walk 6 kilometers in 3 hours. If she has to walk 10 kilometers, how much time will it take her?

5. You mix 7 tablespoons of vinegar for 4 tablespoons of baking soda to produce a chemical reaction. You use 15 tablespoons of baking soda. How much vinegar do you use?

6. A mint milkshake contains 1.25 fluid ounces of milk for every 4 ounces of ice cream. A strawberry milkshake contains 1.75 fluid ounces of milk for every 5 ounces of ice cream. Which milk shake is thicker? Explain.

7. The ratio of three numbers are 4:5:3. The sum of the numbers is 84. What are the 3 numbers?

8. You buy 10 pounds of bird seed at Store A for $11.50. Your friend buys 15 pounds of bird seed at Store B for $19.50. How much less would you spend by buying 20 pounds of bird seed at the store with the better deal?

Answers

Answer 1

Answer:

[MA]:

3: 80 weeks.

4: 5 hours

5: 26.25 teaspoons

The explanation:

1st week = 20 walls

2nd week = 20 + 20 = 40 walls

3rd week = 20 + 20 + 20 = 60 walls

4th week = 20 + 20 + 20 + 20 = 80

Therefore, in 4 weeks. 80 walls in total will be painted.

6 km in 3 hours

10 km in x hours

Proportion:

6 - 3

10 - x

Cross multiplication:

6x = 3 * 10

6x = 30 \ divide by 6

x = 5

It will take 5 hours.

Tablespoon of vinegar taken (v) = 7

Tablespoon of baking soda taken (b) = 4

Therefore, ratio between v and b: 7 : 4

Tablespoon of vinegar taken (v) = x

Tablespoon of baking soda taken (b) = 15

Therefore, ratio between v and b = x : 15

7 : 4 : : x : 15

Produce of extremes = Product of means

26.25 teaspoons

Writer's note: Hope this helps!

[xArtsy}

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For science experiment,Noel measured a piece of metal that has a mass of 3,500 grams.What is the mass of the metal in kilograms?

Answers

3,500 g=3,500 g * (1 Kg / 1000 g)=3.5 Kg.

answer: 3,500 g=3.5 Kg

What is the value of x? 6(-3-x)-2x=14

Answers

Let's solve your equation step-by-step:

It's usually easier to rewrite the equation, so let's do that

6(-3-x)-2x = 14

Step 1: Simplify both sides of the equation.

6(-3-x)-2x = 14

Simplify: (Distribute)

(6)(-3)+(6)(-x)+-2x=14

-18+-6x-2x = 14

(-6x + -2x) + (-18) = 14

(Combine like terms)

-8x+-18 = 14

-8x - 18 = 14

Step 2: Add 18 to both sides

-1x-18+18 = 14+18

-8x = 32

Step 3: Divide both sides by -8

-8x/8 = 32/-8

x = -4

Final answer -

x = -4

You can check your work by replacing your x by -4 so your equation will equal 14. Remember, use PEMDAS or your answer will not come out correctly.

↑ ↑ ↑ Hope this helps! :D

The equation given in the question has one unknown variable in the form of "x" and only one equation is required to find the value of the unknown variable. So it is absolutely possible to find the exact value of "x".
6(-3 - x) - 2x = 14
-18 - 6x - 2x = 14
-18 - 8x = 14
Multiplying both sides of the equation by -1 we get
8x + 18 = - 14
Dividing both sides by 2 we get
4x + 9 = - 7
4x = - 7 - 9
4x = - 16
x = - 16/4
= - 4
So the value of "x" comes out to be equal to - 4. I hope the procedure is clear enough for you to understand.

What is the point-slope form of the equation of a line that passes through the point (1, 4) and has a slope of −3?A. Y - 1 = -3 (X - 4)

B. Y + 4 = 3(X + 1)

C. Y + 4 = -3 (X + 1)

D. Y - 4 = -3 (X - 1)