7 is less than or equal to 0.5v + 10

Mathematics

1 answer:

Strike441 [17]3 years ago

3 0

X is less than or equal to -1.5

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Bella and Heather put some money into their money boxes every week. The amount of money (y), in dollars, in their money boxes af

Hatshy [7]

Answer:

$\boxed{ \text{B. 10 weeks, \$310 }}\\$

Step-by-step explanation:

We have two conditions:

$\begin{array}{lrcll}(1) & y & = & 25x + 60 & \\(2) & y & = & 30x + 10 & \\ & 25x + 60 & = & 30 x + 10 & \text {Set (1) = (2)} \\ & 50 & = & 5x & \text{Subtracted 25x from each side} \\& x & = & 10 &\text{Divided each side by 5} \\\end{array}\\$ $\\\boxed{ \textbf{The number of weeks is }x = 10}\\$

Bella: y = 25x + 60 = 25(10) + 60 = 250 + 60 = 310

Heather: y = 30x + 10 = 30(10) + 10 = 300 + 10 = 310

7 0

3 years ago

The weather report states that the probability it will rain on Wednesday is 30 percent and the probability that it will rain on

Sauron [17]

Since these 2 events are independent , the probability of them both occurring is obtained by multiplying them

P(rain on Wed and Sat) =0.30* 0.60 = 0.18

which is 18%

3 0

3 years ago

Read 2 more answers

The table shows a linear function. <br><br> Which equation represents the function.

mote1985 [20]

Answer:

$\large\boxed{f(x)=\dfrac{3}{2}x-1}$

Step-by-step explanation:

$\text{The slope-intercept formula:}\\\\y=mx+b\\\\m\ -\ slope\\b\ -\ y-intercept\\\\\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{From the table we hve two points (0, -1) and (2, 2). Substitute:}\\\\m=\dfrac{2-(-1)}{2-0}=\dfrac{3}{2}$

$\text{Therefore the equation is}\ f(x)=\dfrac{3}{2}x-1\\\\\text{Check for the point (4, 5):}\\\\f(4)=\dfrac{3}{2}(4)-1=(3)(2)-1=6-1=5\qquad\ CORRECT$