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3 years ago

1. 4/5 x - 3 3/4 x = 2 1/2

1 answer:

ioda3 years ago

8 0

1. 4/5 x - 3 3/4 x = 2 1/2
-2 19/20 x = 2 1/2
x = (2 1/2) / (-2 19/20) = 5/2 / (-59/20) = 5/2 * (-20/59) = -50/59

2. Q - 7 5/6 = 6 1/2
Q = 6 1/2 + 7 5/6 = 14 1/3

3. -1/3 (8 1/7) = -1/3(57/7) = -19/7 = -2 5/7

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The point (2,-4) is on the line given by which equation below?

kykrilka [37]

Answer:

C ) y = -2x

Step-by-step explanation:

(2, -4)

y = -2x

subsitute x for the value of x

y = -2(2)

-2 × 2 = -4

y = -4

the equation for the point (2, -4) is

y = -2x

4 0

2 years ago

Each floor of a doll house is 12.5 inches tall. If the height of the doll house is 75 inches, how many floors does the doll hous

larisa86 [58]

<h2>Answer :</h2>

$\bigstar\boxed{\large\bf{\leadsto 6\:floors}}$

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀

$\begin{gathered}\rm{ \underline{ \underline{ \red{Given}}}}\begin{cases}\sf{height\:of\:one\:floor\:of\:dollhouse =12.4\:in} & \\ \\\sf{Height\:of\: dollhouse=75\:in}&\end{cases}\\\\\end{gathered}$

Total number of Floors in dool house

➜ Therefore , Total number of floors can be find out by dividing the total height of dollhouse by the length of one floor

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\bf{=\cancel{ \dfrac{75}{12.5}}}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\bf{= 6}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀

8 0

2 years ago

A cell phone package charges $39 even if 0 minutes are used during the month. Each additional minute of talk time adds $0.07.

Orlov [11]

Answer: the slope intercept form for this situation is y = 0.07x + 39

Step-by-step explanation:

The cell phone package charges $39 even if 0 minutes are used during the month. This means that the package has a constant charge of $39.

Each additional minute of talk time adds $0.07. Assuming x additional minutes of talk time is made, the total cost of x additional minutes of talk time would be

0.07x + 39

Let y represent the total cost of x additional minutes, then

y = 0.07x + 39

The equation for the slope intercept form is expressed as

y = mx + c

Where

m = slope

c = intercept.

Comparing with our equation,

The slope is 0.07 and the intercept is 39

7 0

3 years ago

What is the domain and range of f(x)=2x^2+6x+2

lbvjy [14]

As is the case for any polynomial, the domain of this one is (-infinity, +infinity).

To find the range, we need to determine the minimum value that f(x) can have. The coefficients here are a=2, b=6 and c = 2,

The x-coordinate of the vertex is x = -b/(2a), which here is x = -6/4 = -3/2.

Evaluate the function at x = 3/2 to find the y-coordinate of the vertex, which is also the smallest value the function can take on. That happens to be y = -5/2, so the range is [-5/2, infinity).

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3 years ago

I'm a little bit confused about how to approach this can someone help?

Taya2010 [7]

Answer:

Step-by-step explanation:

ΔABC is congruent with ΔDEF. That means the corresponding sides are congruent.

Look at the order of the letters. EF are the last two letters of ΔDEF. So this corresponds with the last two letters of ΔABC. Therefore, EF ≅ BC.

EF ≅ BC

x² + 8x = 48

x² + 8x − 48 = 0

(x + 12) (x − 4) = 0

x = -12 or 4

Since x can't be negative, x = 4.

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3 years ago