What is the prime factorization of 315?

Answer:

[tex] \frac{17}{30} [/tex]

Step-by-step explanation:

[tex] \frac{2b + 4h}{bh} = \frac{2(10) + 4(12)}{10 \times 12} = \frac{20 + 48}{120} = \frac{68}{120} = \frac{34}{60} = \frac{17}{30}[/tex]

Hope this helps ;) ❤❤❤

Answer:

B) 17/30

Step-by-step explanation:

The expression is given to you:

(2b + 4h)/(bh)

The measurements for the variables are also given to you:

b = 10 ft.

h = 12 ft.

Plug in the corresponding numbers to the corresponding variables:

(2(10) + 4(12))/(10 * 12)

Solve. Remember to follow PEMDAS. First, solve for the multiplications within the parenthesis:

((2 * 10) + (4 * 12))/(10 * 12)

((20) + (48))/(120)

Next, Add 20 with 48:

(20 + 48)/120 = (68)/120

Then, divide:

68/120 = 17/30

B) 17/30 is your answer.

~

Answer:

No, the triangles are similar with a scale factor of ⅔

Step-by-step explanation:

Given that ∆TUV was transformed to ∆WXY, it means the original lengths of ∆TUV were multiplied by a scale factor that reduced the lengths of ∆TUV to get the lengths of ∆WXY.

AA scale factor of ³/2 will increase the lengths rather than reduce it.

Therefore, the scale factor that was used was ⅔.

Thus, ⅔ of UT will give you the size of XW. Check it out below:

UT = 12, therefore, ⅔*12 = 8.

Answer:

a. f(-1)=12

b. f(2t)=16t²-6t+5

c. f(t-2)=4t²-19t+27

Step-by-step explanation:

For a, b, c, we are given an input. We plug that into f(x) to find our answers.

a.  f(-1)=12

f(-1)=4(-1)²-3(-1)+5

f(-1)=4+3+5

f(-1)=12

-------------------------------------------------------------------------------------------------------------

b. f(2t)=16t²-6t+5

f(2t)=4(2t)²-3(2t)+5

f(2t)=4(4t²)-6t+5

f(2t)=16t²-6t+5

-------------------------------------------------------------------------------------------------------------

c. f(t-2)=4t²-19t+27

f(t-2)=4(t-2)²-3(t-2)+5

f(t-2)=4(t²-4t+4)-3t+6+5

f(t-2)=4t²-16t+16-3t+6+5

f(t-2)=4t²-19t+27

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

1 liter of water equals 1000 milliliters.

To find who has more water, you need to convert (the unit) of each person to either liters or milliliters.

Since it asks for millimeters, I'm going to convert Tutu's 7/10 liters to milliliters. Since there are 1000 milliliters in every liter, you have to multiply 7/10 by 1000. 7/10 multiplied by 1000 is 700.

So Pete has 500 milliliters of water and Tutu has 700 milliliters of water.

Now you need to find the difference of 700 and 500 by subtracting.

700-500=200

Tutu bought 200 more milliliters of water than Pete.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Answer:

[tex]\huge \boxed{24x-48}[/tex]

Step-by-step explanation:

The expression is given:

[tex]8(3x-6)[/tex]

Applying the distributive property.

[tex]8(3x)+8(-6)[/tex]

Simplifying the expression.

[tex]24x+-48[/tex]

Answer:

Total distance traveled= 21h miles

Step-by-step explanation:

You biked at 10 mph for h hours

Speed= 10 mpg

Time = h hours

Distance covered= speed*time

Distance covered= 10h miles

walked at 3mph for twice as long as I biked,

Speed= 3 mph

Time= twice as long as biked

Time= 2(h) hours

Distance= 2h*3

Distance= 6h miles

ran at 10mph for one quarter as long as I walked

Speed= 10 mph

Time= 1/4 of(2h)

Time= 1/2h hours

Distance= 1/2h*10

Distance= 5h miles

Total distance traveled

= 10h miles +6h miles+ 5h miles

Total distance traveled= 21h miles

Answer:

a. [tex] \boxed{ \bold{ \boxed{ \sf{width \: of \: rectangular \: field \: = 71 \: meter}}}}[/tex]

b. [tex] \boxed{ \bold{ \boxed{ \sf{length \: of \: rectangular \: painting \: = 85 \: cm}}}}[/tex]

Step-by-step explanation:

a. Given,

Perimeter of rectangular field ( P ) = 310 m

Length of the field ( L ) = 84 m

Width of the field ( W ) = ?

Finding the width of the rectangular field

[tex] \boxed{ \sf{perimeter \: of \: rectangle = 2(l + w)}}[/tex]

plug the values

⇒[tex] \sf{310 = 2(84 + w)}[/tex]

Distribute 2 through the parentheses

⇒[tex] \sf{310 = 168 + 2w}[/tex]

Swap the sides of the equation

⇒[tex] \sf{168 + 2w = 310}[/tex]

Move 168 to right hand side and change it's sign

⇒[tex] \sf{2w = 310 - 168}[/tex]

Subtract 168 from 310

⇒[tex] \sf{2w = 142}[/tex]

Divide both sides of the equation by 2

⇒[tex] \sf{ \frac{2w}{2} = \frac{142}{2} }[/tex]

Calculate

⇒[tex] \sf{w = 71 \: m}[/tex]

Width = 71 meters

------------------------------------------------------------

2. Given,

Area of rectangular painting ( A ) = 5185 cm²

Width of the painting ( w ) = 61 cm

Length of the painting ( l ) = ?

Finding length of the painting

[tex] \boxed{ \sf{area \: of \: rectangle = l \times w}}[/tex]

plug the values

⇒[tex] \sf{5185 = 61l}[/tex]

Swap the sides of the equation

⇒[tex] \sf{61 \: l \: = 5185}[/tex]

Divide both sides of the equation by 61

⇒[tex] \sf{ \frac{61 \: l}{61} = \frac{5185}{61} }[/tex]

Calculate

⇒[tex] \sf{l = 85}[/tex] cm

Length = 85 cm

Hope I helped!

Best regards !!!

Answer:

No, Nadia is incorrect. She could multiply both the numerator and denominator of the unit fraction equivalent to 2/10 by 3 and arrive at the equivalent fraction 3/15.

*Credits to another Brainly question. The person who asked the question put this answer in the answer options.*

Answer:

x=28

Step-by-step explanation:

PEMDAS

parenthesis first...

5x-8+(6x-3x-24+6)=6x+30 *remember to distribute the negative sign*

5x-8+(3x-18)=6x+30

8x-26=6x+30

2x=56

x=28

Answer:

x = 19/3

Step-by-step explanation:

Solve for x:

30 x = 12 x + 22 + 23 (1 + 3)

Hint: | Evaluate 1 + 3.

1 + 3 = 4:

30 x = 12 x + 22 + 4 23

Hint: | Multiply 23 and 4 together.

23×4 = 92:

30 x = 12 x + 22 + 92

Hint: | Group like terms in 12 x + 22 + 92.

Grouping like terms, 12 x + 22 + 92 = 12 x + (92 + 22):

30 x = 12 x + (92 + 22)

Hint: | Evaluate 92 + 22.

92 + 22 = 114:

30 x = 12 x + 114

Hint: | Move terms with x to the left hand side.

Subtract 12 x from both sides:

30 x - 12 x = (12 x - 12 x) + 114

Hint: | Combine like terms in 30 x - 12 x.

30 x - 12 x = 18 x:

18 x = (12 x - 12 x) + 114

Hint: | Look for the difference of two identical terms.

12 x - 12 x = 0:

18 x = 114

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 18 x = 114 by 18:

(18 x)/18 = 114/18

Hint: | Any nonzero number divided by itself is one.

18/18 = 1:

x = 114/18

Hint: | Reduce 114/18 to lowest terms. Start by finding the GCD of 114 and 18.

The gcd of 114 and 18 is 6, so 114/18 = (6×19)/(6×3) = 6/6×19/3 = 19/3:

Answer: x = 19/3

Answer:

- 0.9503 ; r is not statistically significant ; 0.9031

Step-by-step explanation:

Given the following :

Age (X) :

37

41

57

65

73

Bone density (Y)

355

345

340

315

310

Using the pearson R value calculator :

The r value of the data % - 0.9503.

This value depicts a very strong negative correlation between age and density of bone.

Using the pearson R calculator to obtain the P- value, the P value obtained is .01332 and hence the r is not significant at P < 0.01.

The Coefficient of determination R^2 can be obtained by getting the square value of R

R^2 = - 0.9503^2

R^2 = 0.90307009

R^2 = 0.9031

Answer:

forty nine eight hundred in a decimal

= 49800.0

one ten thousands in a decimal​

= 10000.00

Step-by-step explanation:

forty nine eight hundred and one ten thousands in a decimal​

First of all.

Let's take forty nine eight hundred

Converting it to decimal

= 49800.0

forty nine eight hundred= 49800.0

For the second one

one ten thousands in a decimal​

Converting it to decimal

= 10000.00

one ten thousands in a decimal​

= 10000.00 in decimal

Answer:

Hello! Answer below! :)

Step-by-step explanation:

**Least to greatest** => [tex]1/10 < 3/10 < 0.9[/tex]

Look at the picture below!

By: RobloxYt

Answer:

Step-by-step explanation:

Before we can calculate the standard deviation of the dataset, we need to get the mean value first.

mean = sum of the values/total number given

mean = -8+2+2+4+15/5

mean = 15/5

mean (xbar) = 3

For ungrouped data:

Variance S²=  ∑(xi-xbar)²/N-1

xi are the individual values

xbar is the mean value = 3

N is the total number in the dataset = 5

Variance = (-8-3)²+(2-3)²+(2-3)²+(4-3)²+(15-3)²/5-1

S² = (-11)²+(-1)²+(-1)²+(1)²+(12)²/4

S² = (121+1+1+1+144)/4

S² = 67

Hence the variance of data sample is 67.00

Standard deviation is the square root of the variance.

√S² = Standard deviation

√67 = Standard deviation

Standard deviation = 8.185

Standard deviation ≈ 8.19 (to 2 decimal place)

Answer:

64.5J

Step-by-step explanation:

Q = ml

Q = (1/1000)kg X 64.5x10^3 J/kg

Q = 64.5 J

Answer:

I'm not positive but I think it's 64.5J

Step-by-step explanation:

Please, tell me if I'm wrong

Answer:

0.009

Step-by-step explanation:

you can tell by how many 0 are in front

Answer:

0.009

Step-by-step explanation:

Method 1

we say that they are equal 0.0009=0.009

we can multiply by 10000 both sides

and get

9=90

and that clearly is not true we notice that the right one is the biggest

Method 2

An easy method for this problem

just count how many zeroes are there after the decimal point

the one that has less is the biggest

Answer:

Step-by-step explanation:

Follow PEDMAS

[tex]-2 - (-4)[/tex]

Follow rule : -(-a)= + a

[tex] - 2 + 4 \\ = 2[/tex]

Answer:2

Step-by-step explanation:

Answer:

it's 77/16  and just say Anna's answer is wrong.

Answer:

The answer is 77/16, but you can go much dipper if you want. By just simplify 77/16, in 4×13/16. And the final result will be 4.8125. Please if you find it helpful give me a like and rate me.

Answer:

Step-by-step explanation:

x+118 degrees =180 degrees

x +118 degrees-118degrees =180 degrees - 118 degrees

                                         x =62 degrees

the y-intercept=6.

because y must not be greater than  6

Answer:

work is shown and pictured

Answer:

D

Step-by-step explanation:

Because trinomial is a expression which consists of three terms

Answer:

6

Step-by-step explanation:

H is proportionate to L, meaning that they can be represented as a ratio, [tex]\frac{h}{l}[/tex].

[tex]\frac{18}{60}[/tex]

If we know that L in the same ratio is 20, we can set these ratio's equal to each other to find H.

[tex]\frac{18}{60} = \frac{x}{20}[/tex].

To find x, we can cross multiply.

[tex]20\cdot18=360\\\\360\div60=6[/tex]

So [tex]x=6[/tex], meaning that when [tex]L=20[/tex], [tex]H=6[/tex].

Hope this helped!

Answer:

H varies directly as L.

H=KL.

18=K60.

K=18/60=0.3.

H=0.3L

when H=?,L=20. then.

H=0.3×20=6.

Answer:

D

Step-by-step explanation:

It starts at 0 and goes in the negative direction, whereas the others don't

Answer:

D

Step-by-step explanation:

All we need to do is, divide the tax cost by the total cost of the item.

32.80 / 410 = 0.08

Multiply to find the percentage.

0.08 * 100% = 8%

Therefore, the tax rate is 8%.

Best of Luck!

Answer:

Step-by-step explanation:

Area of a circle = πr²

where

r is the radius of the circle

From the question

Area = 154cm²

To find the radius substitute this value into the above formula and solve for the radius

That's

154 = πr²

Divide both sides by π

We have

[tex] {r}^{2} = \frac{154}{\pi} [/tex]

Find the square root of both sides

Thats

[tex]r = \sqrt{ \frac{154}{\pi} } [/tex]

r = 7.0014086

We have the final answer as

radius = 7.0 cm

Hope this helps you

Answer:

Hey there!

For question 1:

C(11,5) = (11!)/(5!*(11-5)!)

C(11,5) = (11!)/(5!*6!)

C(11,5) = (11*10*9*8*7*6!)/(5!*6!)

C(11,5) = (55440)/(120)

C(11,5) = 462 ways

For question 2:

10!=10*9*8*7*...*2*1= 3628800 ways.

This can be a challenging and confusing topic, so let me know if you want a easier to understand explanation, I'm always here to give one :)

A number of ways to choose the players are 462 and The coach made a batting order is 3,268,800.

A permutation is an act of arranging the objects or elements in order.

1.  Rylan's basketball team has 11 players.

His coach chooses five starting players.

The number of different ways to choose the players.

[tex]\rm ^{11}C_{5} = \dfrac{11!}{5! (11-5)!} = 462[/tex]

2.  Sarah plays softball over the summer. If there are 10 players on the team.

The coach made a batting order that will be

[tex]10! = 10*9*8*7*6*5*4*3*2*1 = 3268800[/tex]

Thus, A number of ways to choose the players are 462 and The coach made a batting order is 3,268,800.

More about the permutation link is given below.

https://brainly.com/question/1216161

Answer:

391, and 98

Step-by-step explanation:

Plug in 20 where t appears:

621 (0.5)^20/30 = 621 x 0.62996 = 391.205

Rounded to 391

Plug in 80 where t appears:

621 (0.5)^80/30 = 621 x  0.6667 = 97.8

Rounded to 98

Answer:

b = -0.5

Step-by-step explanation:

7b -0.5 = 8b

7b - 0.5 + 0.5 = 8b +0.5

7b -8b = 8b + 0.5 -8b

-x = 0.5

x = -0.5