How many solutions does the system have?

Answer:

1)  502.65"

2) 367.57 yd

3)  141.37'  

4) 471.24'

Step-by-step explanation:

Formula: volume of a cylinder = πr²h

1) v= πr²h                     2) v= πr²h                      

  v= π x 4² x 10                v= π x 3² x 13

  v=  502.65"                   v= 367.57 yd

3) v= πr²h                       4) v= πr²h

    v=  π x 3² x 5                 v= π x 5² x 6

     v= 141.37'                       v= 471.24'

I hope this helped

Answer:

1. 502.5 [tex]in^{3}[/tex]

2. 367.38 [tex]yd^{3}[/tex]

3. 141.3 [tex]cm^{3}[/tex]

4. 471 [tex]cm^{3}[/tex]

Step-by-step explanation:

The solution to finding the volume of a cylinder is: [tex]\pi r^{2} h[/tex].

They give us a diameter but no radius. So, we just need to divide the diameter, 8, by two. That leaves us with a radius of 4.

We can also see that the height of the first cylinder is 10. That gives us all our information to find the volume!

3.14 · [tex]4^{2}[/tex] · 10 = 502.5

So, the volume of the first cylinder is 502.5[tex]in^{3}[/tex]

This, hopefully explains how to find the volume of the rest of the cylinders!! :)

Hope this helps!! <3

Answer:

Clarissa will take 10 hours by herself

Step-by-step explanation:

Let s = time for shawna

s-5 = time for clarissa

The formula for determining the time is

1/a + 1/b = 1/c  where a and b are the times alone and c is the time together

1/s + 1/(s-5) = 1/6

Multiply each side by 6s(s-5) to clear the fractions

6s(s-5) ( 1/s + 1/(s-5)) = 1/6 *6s(s-5)

Distribute

6(s-5) + 6s = s(s-5)

Distribute

6s -30 +6s = s^2 -5s

Combine like terms

12s -30 = s^2 -5s

Move everything to the right

0 = s^2 -5s -12s +30

0 = s^2 -17s +30

Factor

0 = ( s-15) (s-2)

Using the zero product property

s-15 =0   s-2 =0

s =15     s=2 ( This is not a reasonable answer since it is less than the time together)

s=15

s-5 = 10

Clarissa will take 10 hours by herself

Answer:

-14

Step-by-step explanation:

First, solve what is in the parentheses:

8-1=7

Now you have -2(7)

-2(7)=

-14

The product is -14!

Answer:

-14

Step-by-step explanation:

-2(8-1)

= -2*8 -2*-1

= -16 + 2

= -14

another solutión is:

-2(8-1)

= -2*7

= -14

Answer:

D. Terms that have identical variable parts

Step-by-step explanation:

Like terms refers to terms that have identical variable parts.

For example:

Given the expression

2xy + z + x + 3y - 5z + 4y - xy + 3x

The like terms in the expression are:

2xy - xy= xy

z - 5z= -4z

x + 3x= 4x

3y + 4y=7y

The new expression will be

xy - 4z + 4x + 7y

3520/5280 = 2/3 of a mile per minute.

2/3 x 60 minutes per hour = 40 miles per hour.

40-30 = 10

Bison runs 40 miles per hour

The bison runs 10 miles an hour faster than the deer

Answer:

American bison is faster than the white-tailed deer by 10 more miles per hour.

Step-by-step explanation:

In 1 hour there are 60 minutes.

=> 3520 feet = 1 minute

=> 60 minutes = 3520 x 60

=> 211200 feet = 60 minutes

So, 211200 feet can be converted in miles.

=> 1 mile = 5280 feet

=> 211200 feet = x miles

=> x = 211200 / 5280

=> x = 40 miles per hour.

So, a white-tailed deer can run up to 30 miles per hour.

     an American bison can run up to 40 miles per hour.

American bison runs 10 more miles per hour than a white-tailed deer.

Answer:

x= 3.43

Step-by-step explanation:

First, use the distributive property and multiply 3 by x and 3 by 2:

3x + 6

next use the distributive property again and multiply 4 by x and -5:

4x - 20

Combine Like terms: 3x + 6 + 4x - 20

3x + 4x = 7x

6 - 20 = -14

Now Add 14 to both sides: 7x - 14 = 10

10 + 14 = 24

Now divide 7 by both sides: 7x = 24

24 / 7 = 3.428571429 = 3.43

Answer:

x=24/7 or 3 3/7

Step-by-step explanation:

3(x+2) + 4(x-5)=10   parenthesis first

3x+6+4x-20=10

7x-14=10               addition on both sides

7x-14+14=10+14

7x=24

x=24/7

check the answer:

3(x+2) + 4(x-5)=10

3(24/7+2)+4(24/7-5)=10

72/7+6+96/7-20=10

168/7-14=10

24-14=10

10=10 correct

Answer:

answer hoga 3/2 ok.....

Answer: 3/2

Step-by-step explanation:

Answer:

all real numbers less than or equals to 4

Answer:

15/24

Step-by-step explanation:

Talia spent 3/4 of this week's allowance on candy. Of the money she spent on candy, 5/6 was spent on gummy bears.

What fraction of this week's allowance did Talia spend on gummy bears?

Answer: Let this weeks allowance be x. Talia spent 3/4 of the weeks allowance on candy, therefore the money spent on candy = (3/4)x.

Out of the money spent on candy, 5/6 was spent on gummy bears. Therefore the money spent on gummy bears = 5/6 × (3/4)x = (15/24)x.

This means  that the fraction of money spent on gummy bears was 15/24 of the weeks allowance.

Answer:

6

Step-by-step explanation:

78

Answer: 4

Step-by-step explanation:

Answer: D [tex]10\sqrt{2}[/tex]

Step-by-step explanation:

It says that the measure of angle B is 45 degrees. So if we were to put in 45 degrees  we could see that is is opposite AC and BC which we needs to find is the hypotenuse. So since we know the opposite of angle B  is 10 ft we can using that to find the length of BC.  Opposite hypotenuse is the sine function so we will use it to calculate the length of BC.

sin(45) = [tex]\frac{10}{BC}[/tex]       multiply both sides by BC  

BC sin(45) = 10      divide both sides by sin(45)

BC = [tex]\frac{10}{sin(45)}[/tex]

BC = [tex]10\sqrt{2}[/tex]

Answer:

[tex]\huge\boxed{Option\ D : \ BC = 10\sqrt{2}\ ft }[/tex]

Step-by-step explanation:

Since it's a right angled triangle, We'll use trigonometric rations.

Given that m∠B = 45°

So,

Sin B = opposite / hypotenuse

Where m∠B = 45°, opposite = 10 ft and hypotenuse = BC

Sin 45 = 10 / BC

[tex]\sf \frac{\sqrt{2} }{2} = \frac{10}{BC}[/tex]

BC = 20 / √2

Multiplying and Dividing by √2

BC = 20√2 / √(2)²

BC = 20 √2 / 2

BC = 10√2 ft

Answer:

2m - 3

Step-by-step explanation:

We know that Jim ran m miles. Twice that amount is simply 2 times that, or 2 * m which simplifies to 2m. 3 miles fewer means that we have to subtract 3 from that quantity, so the answer is 2m - 3.

Answer:

2m - 3

Step-by-step explanation:

Distance ran by Jim = m

Twice as far as Jim : 2 * m = 2m

3 miles fewer than '2m' = 2m - 3

Distance ran by Kelly = 2m - 3

Answer:

[tex]\huge\boxed{-35}[/tex]

Step-by-step explanation:

(-20) + (-15)    [ +(-) = - ]

=> -20-15

=> -35

Answer:

-35

Step-by-step explanation:

a negative plus a negative = negative

negative plus a positive = positive or negative (it depends on which is larger)

negative * negative =  positive

negative * positive= negative

negative-negative= negative

use keep change change

i.e., 8-6 -> 8+-6

change the sign of the middle and the sign of the second term.

======================================================

Explanation:

We're conducting a one proportion Z test.

The hypothesized population proportion is p = 0.53, which is not to be confused with the p-value (unfortunately statistics textbooks seem to overuse the letter 'p'). Luckily this problem is not asking for the p-value.

The sample population proportion is

phat = x/n = 41/79 = 0.518987 approximately

The standard error (SE) is

SE = sqrt(p*(1-p)/n)

SE = sqrt(0.53*(1-0.53)/79)

SE = 0.056153 approximately

Making the test statistic to be

z = (phat - p)/(SE)

z = (0.518987 - 0.53)/0.056153

z = -0.19612487311452

z = -0.196

Which is approximate and rounded to 3 decimal places.

Answer:

250S + 600L > 4000

240S + 700L > 5000

Step-by-step explanation:

It takes 250 g of pasta and 240 ml of sauce to make one batch of spaghetti, and it takes 600g of pasta and 700ml of sauce to make one batch of lasagna.

Friedrich is a chef who wants to make spaghetti and lasagna using more than 4000 g of pasta and more than 5000 ml of sauce.

Let S denote the number of batches of spaghetti he makes and L the number of batches of lasagna he makes.

Write an inequality that represents the condition based on the number of grams of pasta.

Write an inequality that represents the condition based on the number of milliliters of sauce.

Scenario 1: Pasta

The chef wants to make spaghetti and lasagna using more than 4000 g of pasta.

S =the number of batches of spaghetti he makes

L =the number of batches of lasagna he makes.

We have, inequality based on the number of grams of pasta

250S + 600L > 4000

Scenario 2: Sauce

chef wants to make spaghetti and lasagna using more than 5000 ml of sauce.

S= the number of batches of spaghetti he makes

L= the number of batches of lasagna he makes.

We have, inequality based on the number of milliliters of sauce

240S + 700L > 5000

The two inequalities are:

250S + 600L > 4000

240S + 700L > 5000

Answer:

Step-by-step explanation:

The shaded regions consist of a triangle and a semicircle

Area of shaded regions = Area of Triangle + Area of semicircle

Area of Triangle = (h x b) ÷ 2

Height, h = 10 cm

Base, b = 8 cm

Are of the triangle component = (10 x 8) ÷ 2

= 80 ÷ 2

= 40 cm^2

 Area of semicircle = πr^2 ÷ 2

Diameter, D = 8 cm

Radius, r = 8 cm ÷ 2 = 4 cm

Are of the semicircle component = [π(4^2) ÷ 2)

= 16π ÷ 2

= 16π cm^2

 Total area of shaded regions

= (40+16π) cm^2

= 8 (5 +2π) cm^2

Answer:

[tex]\boxed{\sf Area = 8\pi + 40\ cm^2}[/tex]

[tex]\boxed{\sf Perimeter = 4\pi + 22\ cm}[/tex]

Step-by-step explanation:

Area of the figure:

Firstly: Area of semicircle:

[tex]\sf \frac{\pi r^2}{2} \\Where\ r = 4 \ cm\\\frac{\pi (4)^2}{2} \\\frac{16 \pi}{2}\\8 \pi \ cm^2[/tex]

Then Area of Triangle

[tex]\sf 1/2 (Base)(Height)\\1/2(10)(4)\\10*2\\20\ cm^2[/tex]

Area of Figure = Area of Semicircle + 2(Area of triangle)

=> 8π + 2(20)

=> 8π + 40 cm²

Perimeter of Semicircle:

Firstly, we'll have to find the hypotenuse

[tex]\sf c^2 = a^2+b^2\\c^2 = 4^2+10^2\\c^2 = 16+100\\c^2 = 116\\c = 11\ cm[/tex]

Then, Perimeter of the semi-circle:

=> πr

Where r = 4 cm

=> 4π

Now, the perimeter of the whole figure:

=> 4π + 2(11)

=> 4π + 22 cm

Answer:

x = -9

Step-by-step explanation:

subtract 3 from both sides

x = -9

Answer:

x = -9

Step-by-step explanation:

x + 3 = -6

Subtract 3 from both sides.

x + 3 - 3 = -6 - 3

x = -9

Answer:

98.1km²

Step-by-step explanation:

The name of the Triangle in this question is: WXV

In the question, we have:

Angle W = ? Unknown

Angle X = 119°

Angle V = 34°

Side w =?

Side x = 26km

Side v = ?

Step 1

We have to find the missing third angle = Angle W

Sum of angles in a triangle = 180°

= Angle W = 180° - (119 + 34)°

= 180° - 153°

Angle W = 27°

Step 2

Find the sides w and v using the sine rule

Sine rule =

a/ sin A = b/ Sin B

Hence for triangle WXV

w/ sin W = x/ sin X = v/ sin V

We have the following values

Angle W = 27°

Angle X = 119°

Angle V = 34°

We are given side x = 26km

a) Finding side w

w/ sin W= x/ sin X

w/sin 27 = 26/sin 119

Cross Multiply

sin 27 × 26 = w × sin 119

w = sin 27 × 26/sin 119

w = 13.49587km

w = 13.5km

b) Finding side v

x / sin X= v/ sin V

26/ sin 119 = v/sin 34

Cross Multiply

sin 119 × v = 26 × sin 34

v = sin 34 × 26/sin 119

v = 16.62324km

v = 16.62km

Step 3

Detemine the area of triangle WXV

We make use heron formula

= √s(s - w) (s - x) (s - v)

Where s = w + x + v/ 2

s = (13.5 + 26 + 16.62)/2

s = 56.12/2

s = 28.06

Area of the triangle = √28.06× (28.06 - 13.5) × (28.06 - 26 ) × (28.06 - 16.62)

Area of the triangle = √9628.137559

Area of the triangle = 98.123073530337km²

Approximately to the nearest tenth =98.1km²

Answer:

22.5

Step-by-step explanation:

cause

Answer:

It is 22.5

Step-by-step explanation:

add up all they shaded parts:

22.5 x 4 = 90 degrees

as each unshaded part is three times more then you do 22.5 x 3 for one part

22.5 x 3 = 67.5 degrees

then times by four because there is four unshaded sections.

67.5 x 4 = 270 degrees

270 + 90 = 360 degrees and there is 360 degrees in a circle so 22.5 degrees is the correct answer.

Answer:

Increasing x> 3

Decreasing x< 3

Step-by-step explanation:

If you imagine drawing a tangent line (a line which touches a curve or shape at one point) at some point on the graph, you can see if a curve is increasing or decreasing at that point; and on the whole interval.

Doing this I find that the curve is decreasing on x< 3 and increases on x> 3

Answer:

16/27

[tex]\frac{2}{3}[/tex] × [tex]\frac{8}{9}[/tex] = [tex]\frac{16}{27}[/tex]

Answer:

c.

Step-by-step explanation:

From the last row in the matrix z = 1.

From the second row:

y + 5z = -4

y = -4 -5(1) = -9.

From the first row:

x + -1 = -3

x = - 3 + 1

x = -2.

Answer:

Reflection only and rotation then translation.

Step-by-step explanation:

im not sure

Answer:

look at the picture below

Step-by-step explanation:

Answer:

T: 4 units right, 4 units up

Step-by-step explanation:

From x = -3 to x = 1, you need to add 4 to x, so the translation in x is 4 units right.

From y = 1 to y = 5, you need to add 4, so the translation in y is 4 units up.

T: 4 units right, 4 units up

The translation vector is (4, 4).

Vectorially speaking, a translation between two distinct point on cartesian plane is described by the following formula:

[tex]P'(x,y) = P(x,y) + T(x,y)[/tex] (1)

Where:

If we know that [tex]P(x,y) = (-3, 1)[/tex] and [tex]P'(x,y) = (1,5)[/tex], then the translation vector is:

[tex]T(x,y) = P'(x,y) - P(x,y)[/tex]

[tex]T(x,y) = (1,5) - (-3, 1)[/tex]

[tex]T(x,y) = (4,4)[/tex]

The translation vector is (4, 4).

We kindly invite to check this question on translations: https://brainly.com/question/17485121

Answer:

12

Step-by-step explanation:

Substitute the given numbers for the variables.

-(-2)(6-3)2

2(3)2

12

Answer:

v = 63

Step-by-step explanation:

v = 1/2(7)(6)(3)

v = 63

Answer:

Step-by-step explanation:

a₁ = 10

a₂ = 6

d = a₂  - a₁ = 6 - 10 = -4

n = 16

a₁₆ = a₁ + (n-1)•d = 10 + (16-1)•(-4) = 10 - 60 = -50

[tex]S_{n}=\dfrac{a_1+a_n}{2}\cdot n\\\\\\S_{16}=\dfrac{10-50}{2}\cdot 16=-40\cdot8=-320[/tex]

Answer:

267x

Step-by-step explanation:

Multiplication  means times

267 * x

267x

Answer:

267x

when you multiply a number by a variable, you can combine the terms if there is no coefficient for the variable.

Answer:

x = 9

Step-by-step explanation:

first remove the brackets

2x - 5 = 48 - 4x + 1

then take numbers to the opposite sides

2x + 4x = 48 + 5 + 1

I have used addition because since your taking-5 to the other side it becomes+5 and -4 becomes +4

now solve

2x + 4x= 6x

48+5+1= 54

6x = 54

now solve for x

divide both sides by 6x

x = 9