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2 years ago

Identify the linear inequality from the graph

Mathematics

1 answer:

Dovator [93]2 years ago

5 0

Answer:

B) y < 3/4x -2

Step-by-step explanation:

First, to eliminate 2 options let's see what sign we should use. The ≤ is a solid line where < is a dotted line. Next, you need to know which way to flip the sign. If it is under the line it is the < symbol.

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Maya is packing her backpack for hike. In one pocket, she puts in a 1/2 pound bag of trail mix,a water bottle weighing 2 1/8 pou

Rudik [331]

Total weight of three items is 2.875 pounds

Solution:

Given that,

Maya is packing her backpack for hike

From given,

$pound\ bag\ of\ trail\ mix = \frac{1}{2}\ pounds$

$water\ bottle = 2\frac{1}{8}\ pounds = \frac{17}{8}\ pounds\\\\flashlight = \frac{1}{4}\ pounds$

How much weight do these three items add to her backpack?

Add all these together

$Total\ weight = \frac{1}{2} + \frac{17}{8} + \frac{1}{4}\\\\Total\ weight = \frac{1 \times 4}{2 \times 4} + \frac{17}{8} + \frac{1 \times 2}{4 \times 2}\\\\Total\ weight = \frac{4}{8} + \frac{17}{8} + \frac{2}{8}\\\\Total\ weight = \frac{23}{8} = 2.875$

Thus total weight of three items is 2.875 pounds

7 0

3 years ago

Find the perimeter. Simplify your answer.

dimaraw [331]

Answer:

30y+14

Step-by-step explanation:

add the values of all the sides together: (5y+4) + (5y+4) + (10y+3) + (10y+3) = (5y + 5y + 10y + 10y) + (4 + 4 + 3 + 3)= 30y + 14

5 0

2 years ago

Caroline puts $400 into a savings account that earns 6% annually. Write a function that represents this situation, where t is th

DaniilM [7]

Answer: 19 years

Step-by-step explanation:

Given

Amount invested $\$400$

Rate of interest $R=6\%$

after 1-year amount becomes

$A=400\left (1+6\%\right)\\A=400\left (1+0.06\right)\\A=400\times 1.06\\A=\$424$

After n years it is

$A=400\left (1.06\right)^n$

Sum accumulated is $\$1200$

$\Rightarrow 1200=400\left(1.06\right)^n\\\Rightarrow 3=\left(1.06\right)^n\\\text{Taking log both sides}\\\Rightarrow n=\dfrac{\ln 3}{\ln 1.06}\\\\\Rightarrow n=18.85\approx 19\ \text{years}$