How many gallons of 40% antifreeze should be mixed with 10 gallons of 80% antifreeze to obtain a 65% antifreeze mixture?

9514 1404 393

Answer:

  (7 -24√3)/50 = 0.14 -0.48√3

Step-by-step explanation:

Sine is negative and cosine is positive in the 4th quadrant, so ...

  sin(α) = -√(1 -cos(α)²) = -√(1 -576/625) = -7/25

Then the cosine of the angle sum is ...

  cos(α +5π/6) = cos(α)cos(5π/6) -sin(α)sin(5π/6)

  = (24/25)(-√3/2) -(-7/25)(1/2)

  = (7 -24√3)/50 = 0.14 -0.48√3

Answer:

b

Step-by-step explanation:

this is for the 20 characters thing

Answer:

x = 6

Step-by-step explanation:

To solve this equation, we need to isolate x. To do that, we need to divide both sides of the equation by 0.5. That gives us:

0.5x=3

x=3/0.5 = 6

Answer:

x=6

Step-by-step explanation:

0.5x÷0.5=3÷0.5

x=3÷0.5

x=6

Answer:

13000

Step-by-step explanation:

If you go 4 steps forward at first, it is 13. Add three zeros and then it is at 10^4 and 13000

One zero added is one power in scientific notation

Answer:

C. 13,000

Step-by-step explanation:

You do 10x10x10x10 and get 10,000 and then multiply that by 1.3 or move the decimal point do the right 4 times for the 4 zeros

Answer:

i think 3 seconds, sorry i don't know much about acceleration

Step-by-step explanation:

Answer:

4.2 seconds

Step-by-step explanation:

Answer: -8

Step-by-step explanation:

other people got -8 so I'm pretty sure this is the answer.

Answer:

Step-by-step explanation:

EXPLANATION

From isosceles triangle CBD,

This implies that,

ANSWER

EXPLANATION

From isosceles triangle CBD,

This implies that,

Answer:Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Quincy spends  of his pocket money on snacks to keep in his locker. Write the fraction  in decimal form.

The decimal equivalent of  is .

Step-by-step explanation:Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Quincy spends  of his pocket money on snacks to keep in his locker. Write the fraction  in decimal form.

The decimal equivalent of  is .

Answer:

the answer is no solution.

Step-by-step explanation:

Answer:

wouldnt it be c

Step-by-step explanation:

Answer:

27-18 = 9, baby grew 9 inches

Step-by-step explanation:

The length of the baby will increase 0.9 inch per month.

Given is that a baby is 18in long at birth and 27in long in ten months

At birth, the length of baby = 18 inches.

After 10 months, the length of the baby = 27 inches.

Increase in length per month will be -

r = (27 - 18)/(10 - 0)

r = 9/10

r = 0.9 inch

Therefore, the length of the baby will increase 0.9 inch per month.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

Answer:

slope = 2.

Step-by-step explanation:

find the slope using this formula y2-y1/x2-x1

40-20/1-0 = 2/1 or just 2.

Answer:

6.9 minutes

Step-by-step explanation:

Setup equality:

    [tex]\frac{12.3}{1} = \frac{85}{m}[/tex]

Cross multiply:

    12.3m = 85

Divide both sides of equality by 12.3:

    m = 6.9 minutes

It takes 6.9 minutes to take someone to hear thunder if it strikes 85 miles away.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Sound travels approximately 12.3 miles per minute.

So, if the thunder strikes 85 miles away  it will take

=85/12.3

=6.91 minutes.

Hence, 6.91 minutes  to take someone to hear thunder if it strikes 85 miles away.

Learn more about unitary method here:

https://brainly.com/question/22056199

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i attached screenshots for answers since I can't write freely here

there are 3 pics just scroll

Step-by-step explanation:

1) -28

here u can solve it normally , but in pic took long steps since it's "simplify expressions"

2) x = 64

3) D) -1 ½

Answer:

2A9

Step-by-step explanation:

Answer:

u + v = 2

Step-by-step explanation:

If v = 1 - i

and u = 1 + i

Then we have to calculate and value of u + v

Now u + v = ( 1 - i ) + ( 1 + i )

               = (-i + i) + ( 1 + 1 )    [by adding like terms]

               =  0 + 2

               = 2

= u + v = 2

:D

Answer:

y = -x + 2

Step-by-step explanation:

x^2 + 5x + 6 factors out to be (x + 2)(x + 3).

14x + 42 factors out to be 14(x + 3).

LCD = 14(x+2)(x+3)^2

Answer:

n=8

Step-by-step explanation:

3n=−8+4n

Simplify both sides of the equation.

3n=4n−8   (there isn't so It stays the same.

Subtract 4n from both sides.

3n−4n=4n−8−4n

−n=−8

Divide both sides by -1.

−n/-1 =−8/-1

Answer:

n=8

Answer:

y = 4x - 3

Step-by-step explanation:

Answer:

(-5,2)

Step-by-step explanation:

Answer:

(-5,2)

Step-by-step explanation:

1 - 6 = -5

1 + 1 = 2

(-5,2)

Answer:

okay i will answer but i dont see the question

Step-by-step explanation:

Answer:

[tex]x=-5[/tex]

Step-by-step explanation:

STEP 1: Simplify each term.

[tex]x^2+10x+20=-5[/tex]

STEP 2: Move 5 to the left side of the equation by adding it to both sides.

[tex]x^2+10x+20+5=0[/tex]

STEP 3: Add 20 and 5.

[tex]x^2+10x+25=0[/tex]

STEP 4: Factor using the perfect square rule.

[tex](x+5)^2=0[/tex]

STEP 5: Set the x+5 equal to 0.

[tex]x+5=0[/tex]

STEP 6: Subtract 5 from both sides of the equation.

[tex]x=-5[/tex]

Answer:

9x^4-36x^3-27x^2

Step-by-step explanation:

assuming those are exponents

Answer:

9x^4 - 36x^3 - 27x^2

Step-by-step explanation:

9x(x^3 - 4x^2 - 3x)

Multiply 9x to each of the terms in the parentheses:

9x^4 - 36x^3 - 27x^2

Answer:

Step-by-step explanation:

Make the denominators equal after simplifying the denominators*. The denominators are currently 2 and 4. So you can just make your life easier by making the denominator of the first number a 4. Multiply both sides by 2.

1. Simplify

12*2+1 = 25/2

25/2*2/2 = 50/4

2. Simplify second number

16*4+3 = 67/4

3. Add the improper fractions

50/4 + 67/4 = 117/4

Terms:

*denominators - the bottom number of a fraction

Hope this helped,

Kavitha Banarjee

Answer:

A. 55

Step-by-step explanation:

The direct distance from Las Palmas to Lowell = the altitude or height of the right triangle.

According to the right triangle altitude theorem, thus:

[tex] h = \sqrt{xy} [/tex]

Where,

h = direct distance from Las Palmas to Lowell = ?

x = direct distance from Trevino to Lowell = 100 miles

y = direct distance from Lowell to Sun City = 30 miles

Plug in the values into the equation

[tex] h = \sqrt{100*30} [/tex]

[tex] h = \sqrt{3,000} [/tex]

[tex] h = 55 miles [/tex] (nearest mile)

Answer:

Option 3: 14 is the correct answer.

Step-by-step explanation:

Slope is denoted by m and is calculated using the formula:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Here

(x1,y1) are the coordinates of first point and

(x2,y2) are the coordinates of second point

Given

(x1,y1) = (3, -20) and

(x2,y2) = (5,8)

Putting the values in the formula, we get

[tex]m = \frac{8-(-20)}{5-3}\\m = \frac{8+20}{2}\\m = \frac{28}{2}\\m = 14[/tex]

The slope of line passing through points (3, -20) and (5,8) is 14.

Hence,

Option 3: 14 is the correct answer.

Answer:

[tex]54-9v[/tex]

Step-by-step explanation:

To remove the parentheses by using the distributive law, we need to multiply [tex]9[/tex] to each term within the parentheses.

[tex]9(6-v) = 9(6) +9(-v)[/tex]

[tex]=54-9v[/tex]

Hope this helps :)