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3 years ago

Simplify the expression. (7x + 3) + (4x - 1) - (2x + 4)

Mathematics

1 answer:

Crazy boy [7]3 years ago

3 0

Answer:

9x -2

Step-by-step explanation:

(7x + 3) + (4x - 1) - (2x + 4)

Distribute the minus sign

(7x + 3) + (4x - 1) - 2x - 4

Combine like terms

7x+4x-2x +3 -1-4

9x -2

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What is the mode of the data represented in this line plot?

evablogger [386]

Answer:

Step-by-step explanation:

Mode is the number that repeats itself the most in data, because 8 contains the most X's, it is the mode

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2 years ago

Daniela and Jack are hiking a steady incline. They use their GPS device to determine their elevation every 15 minutes. At 15 min

kow [346]

Answer:

$h=40t+9700$

where the elevation, h, is in feet and time, t, is in minutes.

Step-by-step explanation:

At the time, $t_1=15$ min, the elevation, $h_1= 10,300$ feet and

at the time $t_2= 30$ min, the elevation, $h_2=10,900$ feet.

As they are hiking a steady incline, so the change in the elevation with respect to time will be constant.

So, there will be a linear relationship between the elevation and the time.

Let $h$ be the elevation at any time instant $t$ , so the linear relation among these quantities is

$h=mt+C_0\;\cdots(i)$

where $m$ is the rate of change of elevation with respect to time and $C_0$ is constant.

The change in the elevation, $\Delta h=h_2-h_1= 10,900-10,300=600$ feet.

and the change in time, $\Delta t=t_2-1_1=30-15=15$ min.

So, change in the elevation in unit time,

$m=\frac{\Delat h}{\Delta t}=\frac{600}{15}=40$ feet/min.

Now, from equation (i)

$h=40t+C_0$

As the elevation, $h=h_1$ at time $t=t_1$ , so

$10,300=40\times15+C_0$

$\Rightarrow C_0=9700$

Hence, the required equation is

$h=40t+9700$

where the elevation, $h$ , is in feet and time, $t$ , is in minutes.

3 0

3 years ago

Michelle poured 7/8 cup of water from a pitcher into a glass.then she poured 2/8 cup . What is the change in the amount of water

Stels [109]

<span>the change in the amount of water in the pitcher is</span>5/8 cup

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4 years ago

Help pls im confused

pochemuha

it's the only one that hasn't been with a positive 2

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3 years ago

Read 2 more answers

What is the geometric mean of 8 and 2?

Molodets [167]

9514 1404 393

Answer:

Step-by-step explanation:

The geometric mean of two numbers is the square root of their product.

√(8·2) = √16 = 4

The geometric mean of 8 and 2 is 4.

The geometric mean of n numbers is the n-th root of their product.

6 0

3 years ago