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3 months ago

Based on the graph shown to the right, whose phones cost varies directly with the amount of time spent talking?

Mathematics

2 answers:

Inessa [12.5K]3 months ago

8 0

Answer:

Step-by-step explanation:

If two quantities have a direct variation, their graph will originate from the point of intersection at the origin.

Among all graphs, only Nikiya's intersects the origin, thus the answer is B.

Zina [12.3K]3 months ago

6 0

Answer:

Only B. Nikiya's

Step-by-step explanation:

Mark's charges do not exhibit a direct correlation with the time spent talking since the cost for 0 hours is not equivalent to 0 dollars.

The constant of variation for Nikiya’s plan is 15

which signifies Nikiya’s cost per hour.

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Point T is the midpoint of RS, W is the midpoint of RT, and Z is the midpoint of WS. If the length of TZ is x, find the lengths

PIT_PIT [12445]

Let RS be denoted as y.

Given that T is the midpoint of RS, this results in RT = TS = $\frac{y}{2}$

And W acting as the midpoint of RT, leads to

thus RW = WT = $\frac{\frac{y}{2} }{2} = \frac{y}{4}$

Given that Z is the midpoint of WS.

Meaning WZ = ZS = $\frac{WS}{2} = \frac{WT+TS}{2} = \frac{(\frac{y}{4} +\frac{y}{2} )}{2} =\frac{3y}{8}$

Consequently, TZ = TS - ZS = $\frac{y}{2} -\frac{3y}{8} = \frac{4y-3y}{8} = \frac{y}{8}$

However, TZ is defined as x.

Thus, $\frac{y}{8} = x$

y = 8x = RS.

A) Length of RW = $\frac{y}{4} = \frac{8x}{4} = 2x$

B) Length of WZ = $\frac{3y}{8} =\frac{3*8x}{8} = 3x$

C) Length of RS = y = 8x

D) Length of ZS = WZ = 3x.

An image is provided for clarification.

8 0

2 months ago

Laura is the fund-raising manager for a local charity. She is ordering caps for an upcoming charity walk. The company that makes

Zina [12379]

Let x represent the number of caps

cost per cap = $6

cost for x caps = 6x

shipping charge = $25

overall budget = $1000

We can set up the following inequality:

Because the total amount cannot exceed 1000, we have

25 + 6x ≤ 1000

6x ≤ 975

x ≤ 162.5

rounding,

x ≤ 163

This means she can purchase a maximum of 163 caps.

5 0

3 months ago