He base of a pentagonal prism has an area of 2.4 m2. The prism has a volume of 4.8 m3. What is its height? Use sketches, formulas and/or charts to justify your answer

Answer:

3-2x=-1.5

add -3 on both sides

-3+3-2x=-1.5+3

-2x=1.5

x=1.5/-2

Answer:

x= 9/4

Step-by-step explanation:

3 - 2x = -1.5

-2x = -4.5

x = 4.5/2

Simplified x = 9/4

Answer:

43.98

Step-by-step explanation:

Answer:

60 pairs of shoes

Step-by-step explanation:

To find the answer, multiply 4x15. The words four times as many mean to do the operation of multiplication. 4x15= 60 So finally, each have 60 pairs of shoes.

i hope this helped:)

Answer:

7.5

Step-by-step:

Julie: ?

Her brother: ?

Total number: 15

So: 15 divided to julie and her brother-

There for 15 divide by 2 is 7.5

7.5+7.5=15

Answer:

you have to add all the angles including 'x' which is equals to 180°.

The process is

99+49+x=180

148+x=180

x=180-148

x=32.

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

the speed of the plane when there is no wind is 212.25 mi/hr

Step-by-step explanation:

Let v represent the speed of the plane without wind.

Wind speed = 20.1 mi/hr

The resultant speed with wind is;

v + 20.1 mi/hr

The resultant speed against wind is;

v - 20.1 mi/hr

Let t represent the time for the travel.

With wind;

(v+20.1)t = 630 ......1

Against wind;

(v-20.1)t = 521 ......2

Divide equation 1 by 2

(v+20.1)/(v-20.1) = 630/521

Cross multiply;

521(v+20.1) = 630(v-20.1)

Collecting like terms;

v(630-521) = 20.1(630+521)

v = 20.1(1151)/109

v = 212.25 mi/hr

the speed of the plane when there is no wind is 212.25 mi/hr

Answer:

4.283

Step-by-step explanation:

Divide 12.85 by 3 using a calculator

Answer:

(x - 10)(x + 9)

Step-by-step explanation:

[tex] {x}^{2} - x - 90 \\ = {x}^{2} - 10x + 9x - 90 \\ = x(x - 10) + 9(x - 10) \\ = \red{ \boxed{ \bold{ (x - 10)(x + 9) }}}\\ [/tex]

Answer:

b

Step-by-step explanation:

Answer:

On the circle

Step-by-step explanation:

Because all of the points on a circle are equidistant from the center, if a circle has a radius of 10 then all of the points are 10 units from the center. Using the Pythagorean Theorem, you know that the distance from (4,0) to (-2,8) is:

[tex]\sqrt{(4-(-2))^2+(8-0)^2}=\sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10[/tex], meaning that it is on the circle. Hope this helps!

Answer:

540

Step-by-step explanation:

259 + 279 = 538

Rounded to nearest 10

= 540

Answer:

apples have greater discount

Step-by-step explanation:

This is a proportional relation given by;

For apples, it's;

1.59/2.99 = x/100

Where x is the amount the second bag of apples cost in relation to the first, so:

x = 1.59 * 100/2.99

x = 53.18

So,let's now find the discount of the second bag of apples from;

Discount = 100 - 49.83 = 50.17% discount

Similarly, for oranges;

2.59/3.99 = x/100

x = 2.59 * 100/3.99

x = 64.91

So,let's now find the discount of the second bag of oranges from;

Discount = 100 - 64.91 = 35.09%

Since apples have discount of 50.17% and oranges have discount of 35.09%, thus apples have greater discount

The min is 4 as this is the smallest value and it is visually shown as the left-most point on the boxplot. This is the tip of the left whisker.

The value of the first quartile (Q1) is the left edge of the box and that is 7. The left whisker goes from 4 to 7. The left whisker represents 25% of the data, which is another way of saying "25% of the data is below Q1". So 25% of the distribution has between 4 and 7 teams.

Answer:

number : number

Step-by-step explanation:

for example, 1:3

this means 1 to 3

so for every 1 banana there are 3 apples

Answer:

I want to stand on my own three feet

Step-by-step explanation:

Answer:

the normal heart rate of the grizzley bear = 12.5 beats per minute

Step-by-step explanation:

let the normal heart rate = x

hibernating heart rate = 20% of normal value = x - 10

20% of x = x - 10

20/100 of x = x - 10

0.2 × x = x - 10

0.2x = x - 10

x - 0.2x = 10

0.8x = 10

x = 10 ÷ 0.8 = 12.5 beats per minute

Answer:  One solution

namely x=3.   We have a product that's zero so the solutions come from each factor being zero; here the factors are the same so we only get one solution.

Answer:

Step-by-step explanation:I hope it's only one...

Answer: This took me a long time to type, hope you read it and find it helpful and easy to understand...

1. [tex]x=1[/tex]

2. [tex]x=\frac{3}{2}[/tex]

3. [tex]x=1[/tex]

4. [tex]x=\frac{6}{5}[/tex]

Step-by-step explanation:

1.

[tex]\frac{1}{x}-\frac{x-2}{3x}=\frac{4}{3x}[/tex]

To make it easier to add / subtract fractions, we are looking for common denominators. I can see that if I move the fraction on the left with a denominator 3x to the right, I'll be able to add two equations with like denominator.

Let's add [tex]\frac{x-2}{3x}[/tex]

[tex]\frac{1}{x}=\frac{4}{3x}+\frac{x-2}{3x}[/tex]

Add the numerators and keep the same denominator.

[tex]\frac{1}{x}=\frac{4+x-2}{3x}[/tex]

[tex]\frac{1}{x}=\frac{2+x}{3x}[/tex]

To get rid of the denominator x on the left side, we can multiply by x.

[tex](x)\frac{1}{x}=\frac{2+x}{3x}(x)[/tex]

[tex]1=\frac{2+x}{3}[/tex]

Now multiply by 3.

[tex](3)1=\frac{2+x}{3}(3)[/tex]

[tex]3=2+x[/tex]

Subtract 2.

[tex]3-2=x\\1=x[/tex]

The value of x is 1.

Proof.

[tex]\frac{1}{x}-\frac{x-2}{3x}=\frac{4}{3x}[/tex]

[tex]\frac{1}{1}-\frac{1-2}{3(1)}=\frac{4}{3(1)}[/tex]

[tex]1-\frac{-1}{3}=\frac{4}{3}[/tex]

[tex]1+\frac{1}{3}=\frac{4}{3}[/tex]

[tex]\frac{1*3+1}{3} =\frac{4}{3}\\\frac{4}{3}=\frac{4}{3}[/tex]

I can't show the proof to the following problems because I have a 5000 character limit.

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2.

[tex]\frac{5x-5}{x^2-4x} -\frac{5}{x^2-4x}=\frac{1}{x}[/tex]

Again, we have like denominators, therefore, we can simply subtract the numerators and keep the same denominator.

[tex]\frac{5x-5-5}{x^2-4x}=\frac{1}{x}[/tex]

[tex]\frac{5x-10}{x^2-4x}=\frac{1}{x}[/tex]

Again, we can multiply by x to get rid of the x in the denominator.

[tex](x)\frac{5x-10}{x^2-4x}=\frac{1}{x}(x)[/tex]

Do not distribute the x in the numerator yet because we're gonna eliminate it later.

[tex]\frac{(x)(5x-10)}{x^2-4x}=1[/tex]

Factor the denominator.

[tex]\frac{(x)(5x-10)}{(x)(x-4)}=1[/tex]

Simplify x's.

[tex]\frac{5x-10}{x-4} =1[/tex]

Multiply by x-4 to get rid of the denominator.

[tex](x-4)\frac{5x-10}{x-4} =1(x-4)[/tex]

[tex]5x-10=x-4[/tex]

Add 10

[tex]5x=x-4+10[/tex]

Subtract x

[tex]5x-x=-4+10[/tex]

Combine like terms;

[tex]4x=6[/tex]

Divide by 4.

[tex]\frac{4x}{4}=\frac{6}{4}[/tex]

[tex]x=\frac{6}{4}[/tex]

Simplify by 2.

6/2 = 3

4/2 = 2

[tex]x=\frac{3}{2}[/tex]

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3.

[tex]\frac{x^2-7x+10}{x}+\frac{1}{x}=x+4[/tex]

Same denominator, add numerators.

[tex]\frac{x^2-7x+10+1}{x}=x+4[/tex]

[tex]\frac{x^2-7x+11}{x}=x+4[/tex]

Multiply by x to get rid of the x.

[tex](x)\frac{x^2-7x+11}{x}=(x+4)(x)[/tex]

[tex]x^2-7x+11=x^2+4x[/tex]

Subtract [tex]-x^2-4x[/tex]

[tex]x^2-7x+11-x^2-4x=0[/tex]

Combine like terms;

[tex]-11x+11=0[/tex]

Subtract 11.

[tex]-11x=-11[/tex]

Divide by -11

[tex]x=\frac{-11}{-11} \\x=1[/tex]

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4.

[tex]\frac{x^2+7x+10}{5x-30}+\frac{x}{x-6}=\frac{x^2-13x+40}{5x-30}[/tex]

It's easier if you move the operation with denominator x+6 to the right side with negative sign and bring the operation on the right side to the left side with negative sign as well.

[tex]\frac{x^2+7x+10}{5x-30}-\frac{x^2-13x+40}{5x-30}=-\frac{x}{x-6}[/tex]

Now, since we have the same denominators, we can simply subtract numerators.

[tex]\frac{x^2+7x+10-(x^2-13x+40)}{5x-30} =-\frac{x}{x-6}[/tex]

Distribute the negative sign.

[tex]\frac{x^2+7x+10-x^2+13x-40}{5x-30} =-\frac{x}{x-6}[/tex]

Combine like terms;

[tex]\frac{20x-30}{5x-30}=-\frac{x}{x-6}[/tex]

Factor.

I can see that I can factor a 5 on both numerator and numerator. This will allow me to simplify them.

[tex]\frac{(5)(4x-6)}{(5)(x-6)} =-\frac{x}{x-6}[/tex]

Simplify.

[tex]\frac{4x-6}{x-6}=-\frac{x}{x-6}[/tex]

Multiply by x-6

[tex](x-6)\frac{4x-6}{x-6}=-\frac{x}{x-6}(x-6)[/tex]

This will simplify the denominators.

[tex]4x-6=-x[/tex]

Add x and 6.

[tex]4x+x=6\\[/tex]

Combine like terms;

[tex]5x=6[/tex]

Divide by 5.

[tex]x=\frac{6}{5}[/tex]

Correct question:

Every day Kim practice volleyball and clarinet each day she practices volleyball for 2.5 hours if after 8 days she practices both volleyball and the clarinet for a total of 36 hours how many hours per day did Kim practice clarinet.

Answer: 2 hours

Step-by-step explanation:

Everyday Kim practices volleyball and clarinet = v/ball + clarinet

Everyday volleyball practice = 2.5hours

That is clarinet(hours) + 2.5 hours of volleyball

After 8 day, total practice hours of both volleyball and clarinet equals 36 hours

The above information can be represented mathematically as thus:

Let h = hours per day of clarinet

8(h + 2.5) = 36

8h + 20 = 36

8h = 36 - 20

8h = 16

h = 16/8

h = 2

Answer:

(3,3)

Step-by-step explanation:

8--7=15

15/3 = 5

8-5=3

ordered pair at x=3 is (3,3)

Answer:

A,C,D are triangles, B is not.

Step-by-step explanation:

Let 3 sides of a triangle be a,b,c.

A triangle have the sum of 3 angles = 180 degree

and

a-b<c<a+b (similar for a and b)

a. three sides measuring 6 cm, 8 cm, and 10 cm

Satisfied the a-b<c<a+b property -> triangle

b. three angles measuring 40 degrees, 70 degrees, and 65 degrees

Total of 3 angles = 40+70+65 = 175 > 180

-> not triangle

c. three angles measuring 10 degrees, 25 degrees, and 145 degrees

Total of 3 angles = 10+25+145 = 180

-> triangle

d. three sides measuring 9 m, 15 m, and 9 m

Satisfied the a-b<c<a+b property -> triangle

Answer:

C

All triangle must equal 180, 40 + 70 + 65 = 175

Answer:

120 square centimeters

Step-by-step explanation:

Answer:

A =70 ft^2

Step-by-step explanation:

The area of the triangle is equal to

A = 1/2 bh where b is the base and h is the height

A = 1/2 (20) *7

A =70 ft^2

Answer:

15 1/4

Step-by-step explanation:

16-3/4

64/4-3/4

61/4

15 1/4

Answer: 9

11-6 (over fraction) 3

11-2 = 9

Answer:

Step-by-step explanation:

The given table is

Days     Bees

  0        10,000

 10        7,500

 20       5,600

 30       4,200

 40       3,200

 50       2,400

Where [tex]x[/tex] represents days and [tex]y[/tex] represents bees.

The exponential function that models this problem must be like

[tex]y=a(1-r)^{x}[/tex], which represenst an exponential decary, because in this case, the number of bees decays.

We nned to use one points, to find the rate of decay. We know that [tex]a=10,000[/tex], because it starts with 10,000 bees.

Let's use the points (10, 7500)

[tex]y=a(1-r)^{x}\\7500=10000(1-r)^{10}[/tex]

Solving for [tex]r[/tex], we have

[tex]\frac{7500}{10000}=(1-r)^{10} \\(1-r)^{10} =0.75[/tex]

Using logarithms, we have

[tex]ln((1-r)^{10}) =ln(0.75)\\10 \times ln(1-r)=ln(0.75)\\ln(1-r)=\frac{ln(0.75)}{10} \approx -0.03\\e^{ln(1-r)}=e^{-0.03}\\1-r =e^{-0.03}\\r=-e^{-0.03}+1 \approx 1.97[/tex]

Replacing all values in the model, we have

[tex]y=10000(1-1.97)^{x}\\y=10000(0.97)^{x}[/tex]

Therefore, the right answer is the first choice, that's the best approximation to this situation.

Answer:

A. y = 9,958(0.972)x

Step-by-step explanation:

Answer: There isnt enough information to asnwer

Step-by-step explanation:

Answer:

36⁄12

Step-by-step explanation:

Answer:

8.a 9.acb

Step-by-step explanation:

good luck

Answer:Height:  

15.8  meters

Explanation: For a rectangular prism:  XXX  Volume  =  height  ×  width  ×  depth  and  XXX  Area (of base)  =  width  ×  depth  ⇒  height  =  Volume  Area  =  306.52

19.4  =  15.

Answer:  100 CUBIC METERS

Step-by-step explanation: