I NEED THIS ANSWER BY TONIGHT!!!! How many gallons of a 90% antifreeze solution must be mixed with 100 gallons of 20% antifreeze to get a mixture that is 80% antifreeze? Use the six-step method.

Answer:

  6 servings

Step-by-step explanation:

To find the number of servings, divide the total amount by the quantity per serving.

You can compute this using a calculator:

  5.333/0.875 ≈ 6.095 ≈ 6 servings

__

Or, you can do the mixed-number math:

  (5 1/3)/(7/8) = (16/3)(8/7) = 128/21 = 6 2/21 ≈ 6

There were 6 servings in the container.

Answer:

6

Step-by-step explanation:

6 is the answer.

This is not a function. The input 7 in set A maps to outputs -1 and -3 at the same time in set B, which is why we don't have a function.

For a function to be possible, each input must map to exactly one output only.

Answer:

4

Step-by-step explanation:

24÷(-4)+(-2)·(-5)

-6+(-2)·(-5)

-6+10

4

Answer:

1. Cardinal Number

2. Ordinal number

3. Integer

4. Counting Number

5. Fraction

6. Base

7. Exponent

8. Factor

9. Prime factor

Step-by-step explanation:

A cardinal number is a number denoting quantity.

Ordinal numbers denote position, like first and second.

Integers are all whole numbers that are negative, and positive. It also includes 0.

Counting numbers are only positive integers.

Fractions always consist of a numerator and denominator.

Bases are always the number below the superscript of an exponent

Exponents are always the superscript of an exponent, such as 9^3. 3 would be the exponent.

A factor is a number that evenly divides into another number. For example, 2 and 4 are factors of the number 8.

Prime factors are factors of a number that are prime. Prime numbers are numbers that have the factors as themselves and the number 1. One example of a prime factor is 3. When given the number 9, 3 is a prime number, and factor of 9.

Answer:

X is 3

Step-by-step explanation:

15-x=12

X=15-12

X=3

Answer:

90 feet per second.

Step-by-step explanation:

If it moves 540 feet in 6 seconds, than it moves 540/6=90feet per second.

Not sure what the height requirement has to do with this problem or what 'unit rate' is specifically referring to so this may not be the answer you're looking for but I hope this helped anyway!

Answer:

[tex]f^{-1}(x)=\frac{x+1}{6}[/tex]

Step-by-step explanation:

So we have the function:

[tex]f(x)=6x-1[/tex]

To find the inverse function, switch x and f(x), change f(x) to f⁻¹(x), and solve for f⁻¹(x). Therefore:

[tex]f(x)=6x-1[/tex]

Switch:

[tex]x=6f^{-1}(x)-1[/tex]

Add 1 to both sides:

[tex]x+1=6f^{-1}(x)[/tex]

Divide both sides by 6:

[tex]f^{-1}(x)=\frac{x+1}{6}[/tex]

And that's our answer :)

Answer:

25

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out expression

28 - 18 ÷ 2 x 3

Step 2: Multiply

28 - 18 ÷ 6

Step 3: Divide

28 - 3

Step 4: Subtract

25

Answer: 15

Step-by-step explanation:

(28 - 18) ÷ 2 x 3

Step 1. (28 - 18) = 10

Step 2. 10 ÷ 2 = 5

Step 3. 5 x 3 = 15

The answer is 15

Answer: 40 comedy 80 action 10 horror

Step-by-step explanation:

Answer:

101.6cm, no.

Step-by-step explanation:

One foot = 12 inches

Therefore 3 feet = 3x12=36 inches 36+4=40 inches total.

1 inch=2.54cm

40x2.54=101.6cm

So no, unfortunately she cannot go on the ride.

Hope this helped!

Answer:

1000 millimeters

Step-by-step explanation:

Its the shortest one

Answer:

length=16 and width = 8

Step-by-step explanation:

p= 2(length + width) ........ p= 48 m

width=length-8

48=2(length + length -8)

48= 2(2length -8)

48= 4 length-16

48 +16 = 4 length

[tex] \frac{64}{4} = length [/tex]

length =16

Width = length - 8

width = 16 - 8

width = 8

Hope u like it

For any question comment me

Answer:

(3,-3)

Step-by-step explanation:

First you divide 2 out of the first equation and it turns into 5x+y=12.

Then you write one on top of the other so you can add them. It looks like:

5x + y = 12

-5x + y = -18

Then you add them together and the 5x's cancel each other out and you are left with 2y = -6

So then you divide both sides by 2 and get y = -3

Then you plug -3 into the second equation because it is simpler and get -5x - 3 = -18

So then you add three to both sides and get -5x = -15

And finally you divide both sides by -5 and get x=3

Greetings from Brasil...

According to the statement of the question, we can assemble the following system of equation

X = 7 + 3Y i

X + Y = 75 ii

So, multiplying ii by -1 and adding with i

X = 7 + 3Y

- X - Y = - 75

- Y = 7 + 3Y - 75

4Y = 68

Y = 17

for X we will use ii:

X + Y = 75

X + 17 = 75

X = 58

The smaller number is: 17

Answer:

10

Step-by-step explanation:

Absolute value stands for how far away a number is from 0 on the number line. In this case it is 10 jumps away or 10. Not negative 10 because that wont make sense.

Answer:

10

Step-by-step explanation:

The lines around -10 are basically asking how far the number inside is from 0. This goes for any number, negative or positive.

Knowing that information, just ask yourself what's 10-0?

10.

Answer:

The second place right of the decimal point is the hundredths place. If the next digit is 0 through 4, the hundredths digit remains the same. If the next digit is 5 through 9, the hundredths digit goes up by 1.

a) 7.208 , 7.21 (the 8 causes the 0 to go up to 1)

b) 4.871 , 4.87

c) 0.5609 , 0.56

d) 1.81545 , 1.82 (the 8 causes the 1 to go up to 2)

e) 9.8542, 9.85

Answer:

The land not made up of farmland = 5 million acres

Step-by-step explanation:

Number of farms in Nebraska = 48000

Total acres of land used by Nebraska = 45 million acres

Total of the state covered = [tex]\frac{9}{10}[/tex] of the state

To find:

How many acres are not made up of farmland ?

Solution:

Given that [tex]\frac{9}{10}[/tex] of the state is covered by the farmland.

Total area in farmland = 45 million acres

It means that, Rest of the land is not made up of farmland.

First of all, let us calculate the total land of Nebraska then we will subtract the farmland from total, to find the land not made up of farmland.

That will be our answer.

Let the total land be = [tex]x[/tex] million acres.

As per the question statement:

[tex]\frac{9}{10}\ of\ x = 45\ million\ acres[/tex]

OR

[tex]\dfrac{9}{10}\times x =45\\\Rightarrow x = \dfrac{45\times 10}{9}\\\Rightarrow x = 50\ million\ acres[/tex]

Therefore, the land not made up of farmland = [tex]x[/tex] - 45 = 50 -45

5 million acres

Answer:

Step-by-step explanation:

(d - 8)/5 = p

d - 8 = 5p

d = 5p + 8

Answer:

5x^4+3x^3-8x^2+3x-11

Step-by-step explanation:

(5x^4+ 3x^3 - 6) - (8x^2 – 3x+5)

Distribute the minus sign

(5x^4+ 3x^3 - 6) - 8x^2 + 3x-5

Combine like terms

5x^4+3x^3-8x^2+3x-11

Answer:

5x4 + 3x3 - 8x2 + 3x - 11

Step-by-step explanation:

(5x4 + 3x3 - 6) - (8x2 - 3x + 5)

Combine like terms:

-6 - 5 = -11

Put in order:

5x4 + 3x3 - 8x2 + 3x - 11

Hope this helps

Answer:

The speed of the boat in still water is 33 km/h

Step-by-step explanation:

Let us denote the speed of the boat in still water as x km/h.

Thus;

Since the speed of the stream is 3 km/h, then while going downstream, the total speed on the boat would be; (x + 3) km/h

Formula for distance = speed x time

Since we are told that the time taken to cover the distance downstream is 5 hours, then;

Distance covered in 5 hours = 5(x + 3) km

Therefore, distance between A and B is 5(x + 3) km

However, while going upstream the boat will work against the water current.

Therefore, its speed upstream will be (x − 3) km/h.

we are told that the time taken to cover the distance downstream is 6 hours, then;

Distance covered in 6 hours = 6(x − 3) km

Therefore, distance between A and B is 6(x - 3) km

The true distance between A and B has to be the same.

So,

5(x + 3) = 6(x - 3)

This gives;

5x + 15 = 6x - 18

15 + 18 = 6x - 5x

x = 33

Therefore, the speed of the boat in still water is 33 km/h

Answer:

Step-by-step explanation:

(3g - 7)/k = p

3g - 7 = pk

3g = pk + 7

g = (pk + 7)/3

Answer:

vol. of triangular prism = lbh/2

vol. of rectangular prism = 18 of vol. of triangular prism

18x = 18 + 14x

4x = 18

x=4.5 ft

so vol. of rectangular prism = 6 × 4 . 5 × 3 = 81 ftcube

Answer:

n = 4

Step-by-step explanation:

36 = 13n - 4n

<=> 36 = (13-4).n

<=> 36 = 9n

<=> n = 36 / 9

<=> n = 4

Answer:

34 units

Step-by-step explanation:

Given a rectangle TREC, with RC and ET being the diagonal both intersecting at the middle, then the following are true;

Let O be the point of intersection of RC and ET;

RO+OC = RC

Given the distance from point R to the middle as 2 x - 3, then RO = 2x-3 and if the distance from the middle point to point C is x + 7, then OC = x+7

Since they intersect in the middle, RO = OC

2x-3 = x+7

Collect like terms

2x-x = 7+3

x = 10

RO = 2x-3

RO = 2(10)-3

RO = 17

since RO = OC, then OC = 17units

Note that both diagonal RC and ET inyetsect at the middle O hence diagonal RC = ET = RO+OC

RC = ET = 17+17

RC = ET = 34units

Hence the length of ET is 34 units

Answer:

34 units

Step-by-step explanation:

EDGE 2020-2021

Answer:

12 days

Step-by-step explanation:

Set up an equation with y = mx + b, where m is the rate and b is the y-intercept (starting value)

Let x represent how many days it takes and y represent how many pages he read:

445 = 24x + 157

Solve for x:

288 = 24x

12 = x

So, it will take him 12 days to finish the book

Total number of days to complete book is 12 days

Number of pages in book = 445

Number of pages already read = 157

Number of pages read per day = 24

Total number of days to complete book

Total number of days to complete book = [445 - 157] / 24

Total number of days to complete book = 288 / 24

Total number of days to complete book = 12 days

https://brainly.com/question/12790873?referrer=searchResults

Answer: (-3.5 + (-1.5))

Step-by-step explanation:

Given the expression :

The temperature in the morning was -3.5 °F. By noon, the temperature had dropped by 1.5 °F. Write an addition expression to represent this scenario.

Morning temperature : - 3.5°F

By Noon : change (drop) in temperature

Addition expression to represent the scenario :

A drop in temperature means a further reduction in the initial temperature level :

Addition expression :

(Morning temperature + ( - drop in temperature))

(-3.5 + (-1.5))

Answer: 11u^3+2u^2−7u+15

Step-by-step explanation: Hope this helps.

Answer:

yes

Step-by-step explanation:

2+ 5 is 6