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WITCHER [35]
2 years ago
7

Depth: 1.8 m Width: 2.5 m Height: 2 m What is the cuboid's volume?

Mathematics
2 answers:
kirill115 [55]2 years ago
6 0

Answer:

Cuboids volume is 9 m³.

Step-by-step explanation:

Since we have given that

Depth = 1.8 m

Width= 2.5 m

Height =2 m

we have to find volume of cuboid.

Volume = Depth  × height × width

Volume = 1.8 ×2 ×2.5 m³

Volume =  9 m³


 


8090 [49]2 years ago
5 0

Answer:

9 m³

Step-by-step explanation:

The formula for calculating the volume (V) of a cuboid is

V = depth × width × height

  = 1.8 × 2.5 × 2 = 9 m³


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A baker made 35 pastries in 3 1/2 hours. how many pastries dod the baker make in one hour?
Sophie [7]

Answer:

10 pastries

Step-by-step explanation:

To find how many they made in 1 hour, divide 35 by 3 1/2

35/3.5

= 10

So, he made 10 pastries in 1 hour

6 0
3 years ago
3(2x+1)=7-2(x+5)<br> Can you please show me how to solve this step by step please
Talja [164]
3(2x+1) = 7-2(x+5)
    6x+3 = 7-2x-10
         -3             -3
         6x = 7-2x-10-3
       +2x     +2x
         8x = -6
        ----    -----
          8        8
           x = -3/4 

8 0
3 years ago
What are all values of x that satisfy 4x-1 &lt; 6x+9
Lady bird [3.3K]

The values of x that makes the inequality true are all values less than -5

<h3>Inequality expressions</h3>

Given the inequalities below expressed as;

4x-1 < 6x+9

Collect the like terms

4x-6x < 9+1

-2x < 10

x <-10/2

<h3>x < -5</h3>

Hence the values of x that makes the inequality true are all values less than -5

Learn more on inequality here; brainly.com/question/24372553

#SPJ1

3 0
2 years ago
The table shows the average annual cost of tuition at 4-year institutions from 2003 to 2010.
nata0808 [166]

Answer: 1) The best estimate for the average cost of tuition at a 4-year institution starting in 2020 =$ 31524.31

2) The slope of regression line b=937.97 represents the rate of change of  average annual cost of tuition at 4-year institutions (y) from 2003 to 2010(x).  Here,average annual cost of tuition at 4-year institutions is dependent on school years .

Step-by-step explanation:

1) For the given situation we need to find linear regression equation Y=a+bX for the given situation.

Let x be the number of years starting with 2003 to 2010.

i.e. n=8

and y be the average annual cost of tuition at 4-year institutions from 2003 to 2010.  

With reference to table we get

\sum x=36\\\sum y=150894\\\sum x^2=204\\\sum xy=718418

By using above values find a and b for Y=a+bX, where b is the slope of regression line.

a=\frac{(\sum y)(\sum x^2)-(\sum x)(\sum xy)}{n(\sum x^2)-(\sum x)^2}=\frac{150894(204)-(36)718418}{8(204)-(36)^2}=\frac{30782376-25863048}{1632-1296}=\frac{4919328}{336}\\\\=14640.85

and

b=\frac{n(\sum xy)-(\sum x)(\sum y)}{n(\sum x^2)-(\sum x)^2}=\frac{8(718418)-(36)150894}{8(204)-(36)^2}=\frac{5747344-5432184}{1632-1296}=\frac{315160}{336}\\\\=937.97


∴ To find average cost of tuition at a 4-year institution starting in 2020.(as n becomes 18 for year 2020 if starts from 2003 ⇒X=18)

So, Y= 14640.85 + 937.97×18 = 31524.31

∴The best estimate for the average cost of tuition at a 4-year institution starting in 2020 = $31524.31


4 0
3 years ago
Solve the inequality for x -5x - 49 &gt; 113
Anika [276]
X < -40.5

To find this, here are the steps:

Combine like terms like so:

-4x - 49 > 113

Then, begin to isolate the variable x by adding 49 to both sides leaving you with:

-4x > 162

Then divide by negative four. Don’t forget, dividing by negatives switches the way the sign points so your final product will be:

x < -40.5

Hope this helps!
3 0
2 years ago
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