Suppose y varies directly with x, and y = 8 when x = –6. What direct variation equation relates x and y? What is the value of y when x = –2?A. y = –0.75x; 1.50
B. y = –1.33x; 2.67
C. y = 1.33x; –2.67
D. y = 0.13x; –0.25

Answers

Answer 1

Answer: Given:
y varies directly with x
y = 8 when x = -6

what is the value of y when x = -2?

y = kx

we need to get the constant of variation.
8 = k(-6)
8/-6 = k
4/-3 = k or - 1 1/3

y = -4/3 (-2)
y = (-4*-2) / 3
y = 8 / 3
y = 2 2/3 OR 2.67

The correct answer is Choice B. y = -1.33x ; 2.67

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Calculate the length of the third side?

Answers

As you can see, this is a right triangle, meaning you have the Pythagorean Theorem at your disposal!

This simply means that a² + b² = c², in which c is the hypotenuse and a and b are the adjacent sides. You have the hypotenuse, which is seven, and one of the adjacent sides, which is 6, so if you substitute them into the equation, you get:

6² + b² = 7²

Evaluate to get:

36 + b² = 49

If you subtract 36 from both sides, you get that b² = 13. So the answer is the square root of 13, which is approximately 3.61, or letter B.

Hope this helps!

C squared = a squared + b squared.

a = ? missing side
b = 6 leg
C = 7 longest side

7 squared = a squared + 6 squared

49 = a squared + 36
-36. -36

13 = a squared

Square root of 13 = a
So tge answer is b. 3.61

imagine that the number 2 button on your calculator is damaged and cannot be used.use a flow chart to show 3 different ways in which you can calculate 24x12

Answers

$\left\begin{array}{ccc}24=3\cdot8\n12=3\cdot4\end{array}\right\}24\cdot12=3\cdot8\cdot3\cdot4\n\n\n\left\begin{array}{ccc}24=144:6\n12=36:3\end{array}\right\}24\cdot12=144:6\cdot36:6\n\n\n\left\begin{array}{ccc}24=96:4\n12=48:4\end{array}\right\}24\cdot12=96:4\cdot48:4\n\n\n\left\begin{array}{ccc}24=16+8\n12=9+3\end{array}\right\}24\cdot12=(16+8)\cdot(9+3)\nsequence\ of\ key:16+18=M+;\ 9+3=* MR=\n\n\n$

I attempted this but I was incorrect. Help?

Answers

we need the height of the cone
what we do is we know that when height is 10, V=something, so solve for the diameter is at that point and compare it to 24, the full height
sorry if confusing

V=(1/3)hpir^2
when h=10
160pi/3=1/3(10)pir^2
ties 3 both sides
160pi=10pir^2
divide by 10pi
16=r^2
sqrt both sides
r=4

at that point, the radius is 4
the real radius of the ful is 24/2=12
4/12=1/3
it is 1/3 full

if 1/3=160pi/3cm
2/3=320pi/3cm^3

needs 320pi/3 cm^3

The ratio of girls to boys in Liza’s classroom is 5 to 4How many girls are in her classroom if there is a total of 27
students?

1. 12
2. 9
3. 54
4. 15

Answers

Answer is 4.) 15 girls.

If you go 27-5-4=18
18-5-4=9
9-5-4=0
so 5+5+5 (because it's 5 girls to 4 boys, only count the 5's) =15

Hope this helps! :)

Answer:

2.9

Step-by-step explanation:

Simplify 16/3(6/8b+9/2).

Write in simplest form.

Answers

3/8 = 0.37500
hope its right...!!!!!

16/3(6/8b+9/2) Final result : 4 • (b + 6)

Step by step solution :Step 1 : 9 Simplify — 2 Equation at the end of step 1 : 16 6 9 —— • ((— • b) + —) 3 8 2Step 2 : 3 Simplify — 4 Equation at the end of step 2 : 16 3 9 —— • ((— • b) + —) 3 4 2 Step 3 :Calculating the Least Common Multiple :

3.1    Find the Least Common Multiple

      The left denominator is :       4

      The right denominator is :       2

        Number of times each prime factor
        appears in the factorization of: Prime
Factor  Left
Denominator  Right
Denominator  L.C.M = Max
{Left,Right} 2212 Product of all
Prime Factors 424

Least Common Multiple:
4

Calculating Multipliers :

3.2    Calculate multipliers for the two fractions

    Denote the Least Common Multiple by  L.C.M
    Denote the Left Multiplier by  Left_M
    Denote the Right Multiplier by  Right_M
    Denote the Left Deniminator by  L_Deno
    Denote the Right Multiplier by  R_Deno

   Left_M = L.C.M / L_Deno = 1

   Right_M = L.C.M / R_Deno = 2

Making Equivalent Fractions :

3.3 Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respectiveMultiplier.

L. Mult. • L. Num. 3b —————————————————— = —— L.C.M 4 R. Mult. • R. Num. 9 • 2 —————————————————— = ————— L.C.M 4 Adding fractions that have a common denominator :

3.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3b + 9 • 2 3b + 18 —————————— = ——————— 4 4 Equation at the end of step 3 : 16 (3b + 18) —— • ————————— 3 4 Step 4 : 16 Simplify —— 3 Equation at the end of step 4 : 16 (3b + 18) —— • ————————— 3 4 Step 5 :Step 6 :Pulling out like terms :

6.1 Pull out like factors :

3b + 18 = 3 • (b + 6)

Final result : 4 • (b + 6)

2.)Which is a solution to the equation?(x −2)(x + 5) = 18
x = −10

x = −7

x = −4

x = −2

Answers

$(x-2)(x+5) = 18\n x^(2)-2x+5x-10=18\n x^(2)+3x-28=0\n delta=3^(2)-4*1*(-28)=9+112=121\n x_(1/2)= (-3+11)/(2)/ (-3-11)/(2)=4/-7$

So the answer is -7=x

Answer:

x=-7

Step-by-step explanation: it's B on edg

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