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3 years ago

5

Bob runs 4 miles in 30 minutes at the same rate, how many miles would he run in 48 minutes

1 answer:

allsm [11]3 years ago

6 0

6.4 miles I believe? Sorry if I get it wrong

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I cant believe how bad my brother, Reuben, is at growing things. He bought a whole bunch of plants at the nursery the other day.

jeka94

Answer:

68 plants.

Step-by-step explanation:

Let x represent the number of plants that Reuben bought from the nursery.

We have been given that Reuben bought a whole bunch of plants at the nursery the other day. Right away, five died. So number of plant left would be $x-5$ .

We are also told that then our dog dug up 2/9 of them. So number of plants left after dug-up would be $\frac{2}{9}(x-5)$ .

Further a rabbit came and ate ½ of what was left. So number of plants left would be $\frac{\frac{2}{9}(x-5)}{2}=\frac{2}{9\times 2}(x-5)=\frac{1}{9}(x-5)$ .

Since Reuben had only 7 plants left, so we will equate our expression with 7 and solve for x as:

$\frac{1}{9}(x-5)=7$

$9\times \frac{1}{9}(x-5)=7\times 9$

$x-5=63$

$x-5+5=63+5$

$x=68$

Therefore, Reuben bought 68 plants at the nursery.

6 0

3 years ago

Consider rolling two fair dice and observing the number of spots on the resulting upward face of each one. Letting A be the even

Allushta [10]

Answer:

$P(E|A)= \frac{10}{11}$

Step-by-step explanation:

Given

Two rolls of die

$E \to$ one of the outcomes is 6

$A \to$ atleast one is 6

Required

P(E|A)

First, list out the outcome of each

$E = \{(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5)\}$

$A = \{(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)\}$

So:

$P(E|A)= \frac{n(E\ n\ A)}{n(A)}$

Where:

$E\ n\ A = \{(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5)\}$

$n(E\ n\ A) = 10$

$n(A) = 11$

So:

$P(E|A)= \frac{10}{11}$

7 0

3 years ago

<img src="https://tex.z-dn.net/?f=-24%5Cleq%203x-9" id="TexFormula1" title="-24\leq 3x-9" alt="-24\leq 3x-9" align="absmiddle" c

dybincka [34]

If your solving for x, you need to isolate/get the variable "x" by itself in the inequality:

-24 ≤ 3x - 9 First add 9 on both sides

-24 + 9 ≤ 3x - 9 + 9

-15 ≤ 3x Then divide 3 on both sides to get "x" by itself

$\frac{-15}{3} \leq \frac{3x}{3}$

-5 ≤ x [or x ≥ -5 if you prefer "x" to be on the left side]

8 0

3 years ago

Read 2 more answers

Cornelius is building a solar system model. He plans on making a circular ring around one of the planets out of wire. He wants t

astra-53 [7]

Answer:

$C = 2\pi r$

$C = \pi d$

Step-by-step explanation:

Given

A circular ring

Required

The length

Let

$r \to$ the radius of the ring

The length is calculated by calculating the circumference of the ring.

This is calculated using:

$C = 2\pi r$

or

$C = \pi d$

Where

$d \to$ diameter

and $d = 2r$

6 0

3 years ago

What is the slope and y intercept

umka2103 [35]

Your Y-intercept is 3.

And your Slope is y = 5x + 3.

6 0

3 years ago