Work out the volume of this prism.
20cm
13cm
12cm
30cm
21cm

Answer:

y = 34

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

you would add 4 to both sides and get

102=3y

then you would divide by three and get

34=y

Answer: 0.45!

Step-by-step explanation:

The smallest decimal in hundredths rounded to 0.5 is 0.45 and this can be determined by using the rules of rounding off to the nearest hundredths.

Given :

Number - 0.5

Rules for rounding off to the nearest hundredths are:

Rule 1 - When a number is rounded off to the nearest hundred remember that the digit at tens place is in between 0 to 4 then replace that digit by 0.

Rule 2 - When a number is rounded off to the nearest hundred remember that the digit at units place is greater than or equal to 5 then replaced tens place digit by 0 and hundreds place digit is increased by 1.

So, according to the rules, the smallest decimal in hundredths rounded to 0.5 is 0.45.

For more information, refer to the link given below:

https://brainly.com/question/544948

Answer:

n = a + 99

Step-by-step explanation:

Given that :

a = number of pages in algebra book 1

n = number of pages in geometry book

a = n - 99

The number, n of pages in a geometry book is ;

Pages in algebra book = (pages in geometry book - 99)

a = n - 99

a + 99 = n - 99 + 99

a + 99 = n

Answer:

r-100

Step-by-step explanation:

R-100 R-100 R-100

Answer:

its C. im doing test to i saw different page

Step-by-step explanation:

diff pge

Answer:    3/5

Step-by-step explanation:

Fist find  out how many whites are there and divide it by the total to find the probability.

9/15   simplify it to  3/5

Answer:

24 square root of 5

Step-by-step explanation:

Do you need the steps?

Answer:

22.63

Step-by-step explanation:

direct method through calculator

Answer:

i think it's A but don't quote me on it

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Answer: 1 : 2 : 2

Step-by-step explanation:

2 : 4 : 2 divided by 2 is 1 : 2 : 2 so they're equivalent.

Answer: 27

Step-by-step explanation: since the ratio is 1:3 u mutiply

1 by 9 which equals nine and then u multiply 3 by 9 and u get 27. This should be right I am sorry if it isn't.

Answer:

400:2500 , 40:250 ,and 4:25

9514 1404 393

Answer:

  -190

Step-by-step explanation:

The n-th term of an arithmetic (linear) sequence is given by ...

  an = a1 +d(n -1)

where a1 is the first term (8) and d is the common difference. We note that each term is 2 less than the one before, so the common difference is -2.

  an = 8 -2(n -1)

Then the 100th term is ...

  a100 = 8 - 2(100 -1) = 8 -198 = -190

The 100th term is -190.

Answer:

gradient = - 5

Step-by-step explanation:

Calculate the gradient (slope) m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (- 1, 0) ← 2 points on the line

m = [tex]\frac{0-5}{-1+2}[/tex] = [tex]\frac{-5}{1}[/tex] = - 5

Answer:

The question is written kinda bad, so i take the next two assumptions:

The original line is:

y = 5*x + 23

And we want to find a perpendicular line that passes through the point (-40, 2012)

Suppose that we have a linear equation:

y = a*x + b

A perpendicular line to this one, will have a slope equal to -(1/a)

Then a random perpendicular line to the one above, is:

y = -(1/a)*x + c

In this case, we start with the line:

y = 5*x + 23

Then the family of perpendicular lines to this one, will be like:

y = (-1/5)*x + c

Where c can be any real number.

Now, we also want this line to pass through (-40, 2012)

This means that when x = -40, the value of y must be 2012

We could replace these values in our equation above and solve it for c.

2012 = -(1/5)*(-40) + c

2012 = 40/5 + c

2012 = 8 + c

2012 - 8 = c = 2004

Then the equation is:

y = -(1/5)*x + 2004.

Answer:

15 windflower bulbs

19 daffodil bulbs

Step-by-step explanation:

Given

Represent windflower with W and daffodil with D.

So:

Mary's sales is:

10W + 4D = 226 --- (1)

Darryl's sales is:

6W + 4D = 166 ---- (2)

Required

Solve for W and D

We'll make use of elimination method.

Start by subtracting (2) from (1)

10W - 6W + 4D - 4D = 226 - 166

4W = 60

Multiply both sides by ¼

¼ * 4W = 60 * ¼

W = 60 * ¼

W = 15

Substitute 15 for W in (1)

10W + 4D = 226

10 * 15 + 4D = 226

150 + 4D = 226

Collect like terms

4D = 226 - 150

4D = 76

Multiply both sides by ¼.

¼ * 4D = 76 * ¼.

D = 19

Answer:

$25.08

Step-by-step explanation:

48/2= 24(50% of 100% simplifies to 1/2)

24(0.045)=1.08

24 + 1.08 = 25.08

Answer: B.) 8 Puzzles and 840 pieces

Answer:

x = 63/2

Step-by-step explanation:

x /3  =  21 /2

3 . x/3 = 3 . 21/2

x  =  63 /2

Answer:

(15+3)/6= the input

18/6= 3

since the output is three less than 6x the input, you need to add three. and if the output is 6 times the input after adding three, you have to divide by 6 to find out what the input originally was. you can check it by doing:

6*3= 18

and 18-3= 15 so it checks out.

Step-by-step explanation:

I hope this helps :)

Answer:

10.4m

Step-by-step explanation:

We solve the above question using the Trigonometric function of Tangent.

The formula is given as:

tan θ = Opposite/Adjacent

θ = Angle of Elevation = 46°

Opposite = Height of the tree = x

Adjacent = Distance from the base of the tree = 10m

Hence:

tan 46 = x/10

Cross Multiply

x = tan 46 × 10

x = 10.355303138m

Approximately to the nearest tenth = 10.4m

Answer: 26

Step-by-step explanation: 2 sides are 8 and 2 sides are 5. 5 plus 5 equals 10 and 8 plus 8 equals 16. Finally, 16 plus 10 is 26. Hope this helps! And I would really appreciate getting brainliest if I get it it right!

Answer

i think 1600

Step-by-step explanation:

it maybe 1600 bc if you times 5 and 8 two times you get that answer  i am not smart but maybe

Answer:

[tex]52[/tex] roses and [tex]117[/tex] sunflowers

Step-by-step explanation:

Since the ratio of roses to sunflowers is [tex]4:9[/tex], we can represent how many there are of each as [tex]4x[/tex] and [tex]9x[/tex], respectively. We know that there are [tex]65[/tex] more sunflowers than roses, so we can set up the following equation to solve for [tex]x[/tex]:

[tex]4x+65=9x[/tex]

Solving for [tex]x[/tex], we get:

[tex]4x+65=9x[/tex]

[tex]4x+65-4x=9x-4x[/tex] (Subtract [tex]4x[/tex] from both sides of the equation to isolate [tex]x[/tex])

[tex]65=5x[/tex] (Simplify)

[tex]5x=65[/tex] (Symmetric Property of Equality)

[tex]\frac{5x}{5}=\frac{65}{5}[/tex] (Divide both sides of the equation by [tex]5[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x=13[/tex] (Simplify)

Therefore, since [tex]x=13[/tex], we know that there are [tex]4x=4*13=52[/tex] roses and [tex]9x=9*13=117[/tex] sunflowers. Hope this helps!

Answer:

Segment EG ≅ segment EG by the reflexive property.

Step-by-step explanation:

In the diagram given, already, two angles (<H and <HEG) of ∆HEG has been stated to be equal to two corresponding angles (<F and <FGE) of ∆FGE.

To prove that ∆HEG is congruent to ∆HEG by the Angle-Angle-Side Congruence Theorem, we need to state that they also have one corresponding side that is congruent.

Therefore, the statement and reason that will complete the proof would be:

Segment EG is congruent to segment EG by the reflexive property.

Both triangles share the same segment, EG. This completes the proof.

Answer:

2 events are described.

Step-by-step explanation:

Because only three types of cones and 31 flavours of ice cream.

Answer:

k= 320

.................

Answer:

hii hope it helps

Step-by-step explanation:

sorry for these pics

Answer:

(a) 7 essays and 29 multiple questions

(b) Your friend is incorrect

Step-by-step explanation:

Represent multiple choice with M and essay with E.

So:

[tex]M + E= 36[/tex] --- Number of questions

[tex]2M + 6E = 100[/tex] --- Points

Solving (a): Number of question of each type.

Make E the subject of formula in [tex]M + E= 36[/tex]

[tex]E = 36 - M[/tex]

Substitute 36 - M for E in [tex]2M + 6E = 100[/tex]

[tex]2M + 6(36 - M) = 100[/tex]

[tex]2M + 216 - 6M = 100[/tex]

Collect Like Terms

[tex]2M - 6M = 100 - 216[/tex]

[tex]-4M = - 116[/tex]

Divide both sides by -4

[tex]M = \frac{-116}{-4}[/tex]

[tex]M = 29[/tex]

Substitute 29 for M in [tex]E = 36 - M[/tex]

[tex]E = 36 - 29[/tex]

[tex]E = 7[/tex]

Solving (b): Can the multiple questions worth 4 points each?

It is not possible.

See explanation.

If multiple question worth 4 points each, then

[tex]2M + 6E = 100[/tex] would be:

[tex]4M + xE = 100[/tex]

Where x represents the number of points for essay questions.

Substitute 7 for E and 29 for M.

[tex]4 * 29 + x * 7 = 100[/tex]

[tex]116 + 7x = 100[/tex]

Subtract 116 from both sides

[tex]116-116 + 7x = 100 -116[/tex]

[tex]7x = 100-116[/tex]

[tex]7x = -16[/tex]

Make x the subject

[tex]x = -\frac{16}{7}[/tex]

Since the essay question can not have worth negative points.

Then, it is impossible to have the multiple questions worth 4 points

Your friend is incorrect.

The test contained 29 multiple choice questions and 7 essay questions.

Let x represent the number of multiple questions and y represent the number of essay questions.

Given that there are a total of 36 questions, hence:

x + y = 36    (1)

Also, the test is worth a total of 100 points, hence:

2x + 6y = 100   (2)

Solving equation 1 and 2 simultaneously gives:

x = 29, y = 7

Therefore the test contained 29 multiple choice questions and 7 essay questions.

Find out more at: https://brainly.com/question/16763389

Answer:

D

Step-by-step explanation:

12*12*12*12*12*12= 2985984

12^6= 2985984

Answer:

You have to use the formula 12>6

Step-by-step explanation:

12x6=x

126

12x`12x12x12x12x12x12x12 add all the sums up and get yuor answer.

Thanks

The number of paper newsletters the school needed is given by the equation A = 149.5

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of paper newsletters the school needed be A

Now , the equation will be

The percentage of parents who prefers newsletters electronically = 77 %

So , percentage of parents who prefers paper newsletters = 100 % - 77 %

The percentage of parents who prefers paper newsletters = 23 %

The total number of parents = 650

So , the number of paper newsletters the school A = percentage of parents who prefers paper newsletters x total number of parents

Substituting the values in the equation , we get

The number of paper newsletters the school A = ( 23/100 ) x 650

The number of paper newsletters the school A = 149.5

Therefore , the value of A is 149.5

Hence , the equation is A = 149.5

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