1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vampirchik [111]
3 years ago
12

1-i need to mix 25% mineral spirits to the varnish i am using what ratio of spirit to varnish am i using? 2-if i use 240 ml of v

arnish what quantity of mineral spirits will i need in ml ? 3-Robison's tapestries all measure 1.5m x 1m wide. Express the proportion of the tapestries' heights to width using whole numbers. Give the answer in ration.
Mathematics
1 answer:
zhenek [66]3 years ago
8 0

Answer:

(1) The required ratio of spirit to varnish is 1:3.

(2) You need 80 ml of mineral spirit.

(3) The ratio of tapestries' heights to width is 3:2.

Step-by-step explanation:

(1) If you need to mix 25% mineral spirit to the varnish, then the solution would contain 25% mineral spirit and 75% varnish.

So, \frac{spirit}{varnish}=\frac{25}{75}

                  =\frac{1}{3}

Thus, The required ratio of spirit to varnish is 1:3.

(2) If you use 240ml of varnish, then this quantity is 75% of the total solution or ration of varnish to the total solution will be 3:4.

Let x be the quantity of total solution.

Then, 240:x=3:4.

⇒\frac{240}{x}=\frac{3}{4}

⇒3x=240*4

⇒x=\frac{240*4}{3}

⇒x=320

That is, total solution is 320 ml.

Now, Spirit = Total solution - Varnish

⇒Spirit = 320ml-240ml

⇒Spirit = 80ml

Hence, if you use 240 ml of varnish, you need 80 ml of mineral spirit.

(3) Robison's tapestries all measure 1.5m long and 1m wide. First, we express dimensions in whole numbers by multiplying them by 10.

Then, dimensions are 15m long and 10m wide.

Now, Height : Width = 15:10

⇒\frac{Height}{Width} =\frac{15}{10}

⇒\frac{Height}{Width} =\frac{3}{2}

Hence, the ratio of tapestries' heights to width is 3:2.

You might be interested in
A newspaper reporter says that a company made 700,000 profit last year it says this was 12% more then the year before . Work out
Dmitriy789 [7]

Answer:

625000

Step-by-step explanation:

x+12%= 700000

x*1.12=700000

x=700000/1.12

x=625000

4 0
2 years ago
Two suppliers manufacture a plastic gear used in a laser printer. The impact strength of these gears measured in foot-pounds is
solong [7]

Step-by-step explanation:

The explanation and the graphical representation is attached

6 0
3 years ago
Given that a = 2.4 cm, and b = 9.6 cm, work out x
mylen [45]

Answer:

where am i supposed to find the x if you haven't given the equation for the sum

Step-by-step explanation:

7 0
2 years ago
A pentagon has an 80° angle and 100° angle. The remaining three angels have a ratio of 2:3:4. The measure of the largest angle,
Genrish500 [490]

Answer:

140,150

Step-by-step explanation:

The sum of the angles in a polygon is

180(n−3)

For a pentagon, this equals 540. Since the first 3 angles add up to 240, the remaining 2 angles must add up to 540−240=300∘

3 0
3 years ago
A textile company has specific dyeing and drying times for its different cloths. A roll of Cloth A requires 50 minutes of dyeing
lina2011 [118]

Answer: 9 rolls of cloth A and 44 roles of cloth B

Step-by-step explanation:

Let x represent the number of rolls of cloth A that can be dyed and dried.

Let y represent the number of rolls of cloth B that can be dyed and dried.

A roll of Cloth A requires 50 minutes of dyeing time. A roll of Cloth B requires 55 minutes of dyeing time. The production division allocates 2280 minutes of dyeing time. This means that

50x + 55y = 2880- - - - - - - -1

A roll of Cloth A requires 45 minutes of drying time. A roll of Cloth B requires 30 minutes of drying time. The production division allocates 1740 minutes of drying time. This means that

45x + 30y = 1740- - - - - - - -2

Multiplying equation 1 by 45 and equation 2 by 50, it becomes

2250x + 2475y = 129600

2250x + 1500y = 87000

Subtracting, it becomes

975y = 42600

y = 42600/975

y = 44

Substituting y = 44 into equation 1, it becomes

50x + 55 × 44 = 2880

50x + 2420 = 2880

50x = 2880 - 2420

50x = 460

x = 460/50

x = 9

4 0
3 years ago
Other questions:
  • A car radiator needs a 80% antifreeze solution. The radiator now holds 15 liters of a 70% solutions. How many liters of this sho
    5·2 answers
  • Can you work out the volume of a cube with a length of 10cm, width of 5cm and a height of 8cm?
    15·1 answer
  • Find the volume of a pyramid with a square base where the perimeter of the base is 18.4 cm in the height of the pyramid is 20.6
    10·1 answer
  • Order the values from least to greatest. -21/2 -1/2, |1/2|, 1 1/2, |-2|, |-2 1/2|​
    12·1 answer
  • A patio blueprint has a key that shows 1 inch is equal to 12 feet. If the owner wants the length to be 30 feet, how many inches
    10·1 answer
  • Please help! I will give brainliest!<br> (6^9·6^5)/ 6^15
    11·1 answer
  • <img src="https://tex.z-dn.net/?f=%20%20log_%7B2%7D%28x%29%20%20%3D%20%20-%204" id="TexFormula1" title=" log_{2}(x) = - 4" al
    9·1 answer
  • Type the correct answer in the box. Use numerals instead of words.
    9·1 answer
  • Please helppp quicklyyy!!
    6·1 answer
  • 3x-3(4+x)=3/4(3x+2)-1<br><br> PLEASE FIND X
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!