how to get 98 % marks in maths subject ??

Answer: Add 315 gallons of 70% antifreeze to 90 gallons of 25% antifreeze to make a 60% mixture.

You need to end up a mixture that is 60% antifreeze.

You have 90 gallons of 25% antifreeze, which means it has .25*90 = 22.5 gallons of pure antifreeze mixed with a solvent (probably water).

.

You will add 'x' gallons of 70% antifreeze to make the 60% mixture.

So, at the conclusion, you will have (90+x) gallons  60% 'pure' antifreeze. That can be shown with the equation:

.

.25*90 + .7*x = .6*(90+x)

.

Multiply by 100 to eliminate fractions.

.

25*90 + 70x = 60(90 +x)

.

2250 + 70x = 5400 + 60x

.

10x = 5400 -2250

.

10x = 3150

.

x = 315 gallons of 70% antifreeze.

.

How much will you end up having on hand?

90 + 315 = 405 gallons

.

If it is 60% antifreeze, how much 'pure' antifreeze will be in the mixture?

.6*405 = 243

.

In the original 90 gallons, you have 22.5 gallons of pure antifreeze.

In the additional 315 gallons, you have .7*315 = 220.5 gallons.

22.5+220.5 = 243 gallons

Step-by-step explanation:

Hope this helps,

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The relationship between each proportion of antifreeze can be used to form an equation.

The number of 90% antifreeze that must be added is 490 gallons.

The question is incomplete. So, I will use the following details to answer the question

[tex]Av ai la bl e = 70[/tex] gallons of 10% antifreeze

[tex]x \to[/tex] gallons of 90% antifreeze

[tex]Total = x + 70[/tex] --- after mixing the solution; to get a 80% solution

The equation is then represented as:

[tex]70 \times 10\% + x \times 90\% = (x + 70) \times 80\%[/tex]

[tex]7 + 0.9x = 0.8x + 56[/tex]

Collect like terms

[tex]0.9x - 0.8x = 56 - 7[/tex]

[tex]0.1x = 49[/tex]

Divide by 0.1

[tex]x = \frac{49}{0.1}[/tex]

[tex]x = 490[/tex]

Hence, 490 gallons of 90% antifreeze must be added.

Read more about equations at:

https://brainly.com/question/2264804

Answer:

yes it is because they are both going by two

Step-by-step explanation:

Answer:

1. 7.07

2. 19.10

3.7.42

4. 67.27

5. 13.42

6. 21.8

7. 27.22

8.26.91

Step-by-step explanation: nope but hope it helps :)

Answer:

If there will be 24 lines on all pages, there will be 175 pages in the book

Step-by-step explanation:

First we have to find out how much lines does the book have in total, so we multiply the number of pages by the number of lines on the page. So we get.....

120 x 35 = 4200

Now in order to find out how much pages will the book have when a page will have 14 lines we divide the number of lines by 24 and we get......

4200 / 24 = 175

Answer:

18.75

Step-by-step explanation:

Answer:

-2.5

Step-by-step explanation:

Step-by-step explanation:

[tex]circumference \: of \: the \: circle = 2\pi \times \frac{diameter}{2} \\= 2\pi \times radius = 2 \times \pi \times \frac{1}{2} = \pi = 3.14 \: cm[/tex]

Answer:

right 1 unit and down 5 units

Step-by-step explanation:

Answer:

whatever is higher than 1.5 is higher than r

Step-by-step explanation:

-1.2 ≤ -0.8r

-1.2/0.8 ≤ -0.8r/0.8

-1.5 ≤ -r

-1.5/-1 ≤ -r/-1

1.5 ≥ r

1.5 is equal to or bigger than r

Answer: -0.8r is bigger

Step-by-step explanation:

Answer:

$231,000

Step-by-step explanation:

$110 times 2,100 is $231,000

Answer:

-19a^6 -7

are you asking to simplify??

Answer:

3.5 kg, 0.5 kg

Step-by-step explanation:

The starting weight is represented by the y intercept, and the slope of the line is 0.5, so that's the average weight gain per month. Hope this helps!

Answer:

coordinated answer: (7,7)

Answer:B

Step-by-step explanation:

The answer is B

everyone should know this

Inequality Answer: 1 + y ≥ 3

I hope this helps, and Happy Holidays! :)

Answer:

After making them the improper fractions the numerator is multiplied with the numerator and denominator is multiplied with the denominator .

Step-by-step explanation:

Suppose we have fractions

3 4/5   and 2 15/24

So we multiply the whole number with the denominator beside them and add to the numerator to make them an improper fraction.

These will become

19/5   *   63/24

= 19*63/ 5*24

= 1197/120

=  9 117/120

After making them the improper fractions the numerator is multiplied with the numerator and denominator is multiplied with the denominator .

The answer 1197/120 is divided ( 1197 is divided by 120) to get the mixed number back  with a whole number and a fraction.

Answer:

you are correct!!

Step-by-step explanation:

6x=180

x=30

Answer:

Step-by-step explanation:

look 4x+2x=180

6x=180

x=30

Have a wonderful day

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SSA

Step-by-step explanation:

put name of triangle abc are same

Answer:

790

Step-by-step explanation:

19 3/4÷ 1/8=158

158*5 = 790

Answer:

31.25 s

Step-by-step explanation:

We'll begin by calculating the speed of Finn.

NOTE: Finn is swimming at a constant speed. Hence we shall use any of the data given in the question above to determine the speed of Finn. This is illustrated below:

Time = 7.25 s

Distance = 11.6 m

Speed =?

Speed = distance / time

Speed = 11.6 / 7.25

Speed = 1.6 m/s

Therefore, the speed of Finn is 1.6 m/s

Finally, we shall determine the time taken for Finn to swim 50 m. This can be obtained as follow:

Speed = 1.6 m/s

Distance = 50 m

Time =?

Speed = distance / time

1.6 = 50 / time

Cross multiply

1.6 × time = 50

Divide both side by 1.6

Time = 50 / 1.6

Time = 31.25 s

Therefore, the time taken for Finn to swim 50 m is 31.25 s.

Answer:

31.25 Seconds

Step-by-step explanation:

[tex]x \: and \: y[/tex]

hope my answer is helpful to you

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Answer:

7.2 x 10 CUBED

Step-by-step explanation:

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 7,200

New Number: 7.200

Step 2

Now, to find b, count how many places to the right of the decimal.

New Number: 7 . 2 0 0

Decimal Count:   1 2 3

There are 3 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 7.2 (Please notice any zeroes on the end have been removed)

b = 3

Now the whole thing:

7.2 x 103

Step 4

Check your work:

103 = 1,000 x 7.2 = 7,200

Answer:

the answer is [tex]7.2\times \:10^3[/tex]

Step-by-step explanation:

hope this helps :)

Answer:

option d is the correct answer

Step-by-step explanation:

use formula for finding sum of all interior angles of regular polygon i.e. (n-2)×180 where n is no of sides of regular polygon then divide it by no. of sides of regular polygon to find measure of one angle of regular polygon and then subtract it from 180° to find the answer

Answer:

9

Step-by-step explanation:

If she uses 3eggs for one sponge cake, then, the number of cake she can make is 29/3 which is equals to 9.

The number of eggs remaining are 2

Answer:

[tex]x = 4[/tex]

[tex]y = -5[/tex]

Step-by-step explanation:

Given

[tex]-10x^2+80x+y=155[/tex]

[tex]5x^2-40x+y=-85[/tex]

Required

Solve by substitution

Make y the subject in [tex]5x^2-40x+y=-85[/tex]

[tex]5x^2-40x+y=-85[/tex]

[tex]y = -5x^2 + 40x - 85[/tex]

Substitute [tex]y = -5x^2 + 40x - 85[/tex] in the first equation

[tex]-10x^2+80x+y=155[/tex]

[tex]-10x^2 + 80x -5x^2 + 40x - 85 = 155[/tex]

Collect Like Terms

[tex]-5x^2-10x^2 + 80x + 40x - 85 - 155=0[/tex]

[tex]-15x^2 + 120x-240=0[/tex]

Divide through by -15

[tex]x^2 -8x + 16 = 0[/tex]

[tex]x^2 - 4x - 4x + 16 = 0[/tex]

[tex]x(x - 4) - 4(x - 4) = 0[/tex]

[tex](x - 4)(x - 4) = 0[/tex]

[tex]x - 4\ = 0[/tex] or [tex]x - 4\ = 0[/tex]

[tex]x = 4[/tex] or [tex]x = 4[/tex]

[tex]x = 4[/tex]

Substitute 4 for x in [tex]y = -5x^2 + 40x - 85[/tex]

[tex]y = -5(4)^2 + 40 * 4 - 85[/tex]

[tex]y = -5*16 + 40 * 4 - 85[/tex]

[tex]y = -80 + 160 - 85[/tex]

[tex]y = -5[/tex]

Answer:

-5/2

Step-by-step explanation:

n +1/2 = -3/4

Cross Multiply

4n + 4 = -6

Then subtract 4 and put it on the other side

4n = -10

Now divide by 4 on both sides

n = -10/4

And finally, simplify

-10/4 = -5/2

Answer:

[tex]n = \frac{-5}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

[tex]\frac{n + 1}{2} = -\frac{3}{4}[/tex]

Step 2: Solve for n