Find the value of x and the measure of the angel labeled 6x. A. X=5; angle measure is 42 B. X=5; angel measure is 72 C. X= 5; angel measure is 48

Answer:

The answer is 450

Step-by-step explanation:

I got this equation:

x- the speed in which the turtle walks

5x+5(x+10)=4.5x+150+x*(150)/(x+10)

I got x=40, x=-50/11, but you can't have negative speed, so the turtle's speed is 40 meters per hour. After that, I just plugged in x onto one of the expressions and got 450.

By solving a system of equations, we will see that the distance is 383m

Let's define the speeds of the animals as:

We know that if they leave their houses at the same time, they meet after 5 hours, so we have:

(St + Sh)*5h = D

where D is the distance we want to find.

We also know that:

St = Sh - 10m/h

And if the turtle leaves 4.5 hours earlier, they meet at 150m from the woods.

This is written as:

St*9.5h + Sh*5h = D - 150m

So we need to solve a system of equations:

St*9.5h + Sh* = D - 150m

St = Sh - 10m/h

(St + Sh)*5h = D

Replacing the second equation into the other two we get:

(Sh - 10m/h + Sh)*5h = D

(Sh - 10m/h)*9.5h + Sh*T = D - 150m

Now we can find Sh on the second one.

Sh*14.5h = D - 150m + 95m

Sh = (D + 150m + 95m)/14.5h = D/14.5h + 16.9 m/h

Replacing that on the other equation we get:

(2*(16.9m/h + D/14.5h) - 10m/h )*5h = D

118.96m + D*(10/14.5) = D

118.96m = D*(1 - 10/14.5)

D = 118.96m/(1 - 10/14.5)  = 383m

The distance is 383m

IF you want to learn more about systems of equations, you can read:

https://brainly.com/question/13729904

Answer:

0.000002

Step-by-step explanation:

since its -6+2 you need to move the decimal place in 2, 6 places foward. So the number would go from 2 to 0.000002.

Answer:

6x+y=2

Step-by-step explanation:

y=-6x+2

6x+y=2

Answer:

 [tex]W=9.41 pound[/tex]

Step-by-step explanation:

From the question we are told that:

Total amount spent [tex]n=\$=70[/tex]

Rate [tex]r= \$7.44\ per\ pound[/tex]

Generally the equation for Total pound of coffee W is mathematically given by

Total pound of coffee=Total amount spent/Rate

 [tex]W=\frac{n}{r}[/tex]

 [tex]W=\frac{70}{7.44}[/tex]

 [tex]W=9.41 pound[/tex]

Answer:

Hey mate.......

Step-by-step explanation:

This is ur answer.....

Hope it helps!

Brainliest pls!

Follow me! :)

Answer:

the answer is real, irrational

Answer:

I gotchu, count to 60 LESSSSSSSSS GOOOOOOOOOOOOOOOOOOO

the triangular prism i think lol

Answer:

About 95

Step-by-step explanation:

If she bought her camera 15 days ago, then you just divide 1427 by 15. You can't take parts of pictures, so it has to be a whole number, so you round.

Answer:

95.1333333333 you should probably round it but thats how many photos she took each day

Step-by-step explanation:

1427/15= photos taken each day

Answer:

La razón entre el total de alumnos y los ausentes es [tex]\frac{6}{21} =\frac{2}{7}[/tex]

Step-by-step explanation:

En el club de teatro asistieron 15 alumnos a clases. En total, son 21 alumnos. Entonces la cantidad de alumnos ausentes se calcula como la diferencia entre la cantidad total de alumnos y la cantidad de asistentes, esto es:

21 alumnos - 15 alumnos= 6 alumnos

La cantidad de alumnos ausentes es 6.

La razón es la comparación de dos cantidades y se mide como el cociente entre dos números o cantidades comparables entre sí, que se expresa como una fracción. Es decir, la razón entre 2 números a y b es el cociente [tex]\frac{a}{b}[/tex].

Entonces, la razón entre el total de alumnos y los ausentes es [tex]\frac{6}{21} =\frac{2}{7}[/tex]

Answer:

First, we can find the least common denominator for 8 and 3 which is 24.

5/8 = 15/24

1/3 = 8/24  

Then we can divide 15/24 by 8/24 which is 2 1/4.

If we then do 16 divided by 2 1/4 we get 7 1/9

Answer = 7 1/9

Step-by-step explanation:

Step-by-step explanation:

360=264+w is the equation form of yr question.

Answer:

264+w=360 I think (w =96 just in case you need it) or it could be 360=264+w

Given:

ST || RU

To find:

The measure of QS.

Solution:

In triangle QRU and QST,

[tex]\angle RQU\cong \angle SQT[/tex]              [Common angle]

[tex]\angle QRU\cong \angle QST[/tex]              [Corresponding angle]

[tex]\triangle RQU\sim \triangle SQT[/tex]              [AA property of similarity]

The corresponding sides of similar triangles are proportional.

[tex]\dfrac{QR}{QS}=\dfrac{QU}{QT}[/tex]

[tex]\dfrac{23}{QS}=\dfrac{25}{25+50}[/tex]

[tex]\dfrac{23}{QS}=\dfrac{25}{75}[/tex]

[tex]\dfrac{23}{QS}=\dfrac{1}{3}[/tex]

On cross multiplication, we get

[tex]3(23)=1(QS)[/tex]

[tex]69=QS[/tex]

Therefore, the measure of QS is 69.

Answer:

Step-by-step explanation:

we know that the triangle to the center is an isosceles,  so the two angle on the circle of that triangle are the same.   both 41,  so 41*2 =82  

all the way around that isosceles triangle is 180  so

180-82 = 98

the angle at O is 98°

the arc BC spans 98°

angle 'a'  is 1/2(98°)

a = 49°

Answer:

(5)2

Step-by-step explanation:

As we know that the equation of circle with center at (h,k) ad radius r is given as-

(x−h)

2

+(y−k)

2

=r

2

Given that the centre of circle is (1,4) and radius is 5.

Therefore the equation of circle is-

(x−1)

2

+(y−4)

2

=(5)

2

Let the three consecutive integers be x, x+1 and x+2.

According to the question, x+x+1+x+2=51

=>3x+3=51

=>3x+3-3=51-3

=>3x=48

=>x=16

Hence, first integer = 16,

second integer = 16 + 1 = 17 and

third integer = 16 + 2 = 18.

Answer:

7.2

Step-by-step explanation:

6^2+4^2=c^2

36+16=c^2

52=c^2

x=7.2

Given:

A bag containing the numbers 2,4,6,8,10,12.

To find:

The probability of selecting two numbers less than 10.

Solution:

We have,

Total numbers = 6

Numbers less than 10 are 2,4,6,8.

Numbers less than 10 = 4

Probability of getting a number less than 10 is:

[tex]P(\text{Less than 10})=\dfrac{\text{Numbers less than 10}}{\text{Total numbers}}[/tex]

[tex]P(\text{Less than 10})=\dfrac{4}{6}[/tex]

[tex]P(\text{Less than 10})=\dfrac{2}{3}[/tex]

We select the second number with replacement. So, the probability of second draw is same as the probability for first draw.

Probability of selecting two numbers less than 10 is:

[tex]\text{Required probability}=P(\text{Less than 10})\times P(\text{Less than 10})[/tex]

[tex]\text{Required probability}=\dfrac{2}{3}\times \dfrac{2}{3}[/tex]

[tex]\text{Required probability}=\dfrac{4}{9}[/tex]

Therefore, the probability of selecting two numbers less than 10 is [tex]\dfrac{4}{9}[/tex].

Answer:

785

Step-by-step explanation:

did the math in a calculator I got yoy

Answer:

D. 785

Step-by-step explanation:

the formula to find the surface area of a cylinder is A=2πrh+2πr^2

the diameter is a straight line through the center of a figure so half of that would be the radius and our diameter is 10 so the radius is 5

our height is 20 so now we put it into the equation it will look like this

2·π·5·20+2·π·5^2

once you do the math you will get 785.39816

Answer:

1. a

2. d

3. 31/4

4. 57.6

5. a

hope it helped u

Answer:

1.58 cm

Step-by-step explanation:

Area of a square = length ²

Area of the square = 15/6 cm²

Area of a square = length ²

15/6 = length²

Find the square root of both sides

√15/6 = √length²

√2.5 = length

1.58 cm = length

Alternatively,

√15/6 = √length²

√15/√6 = length

3.87 / 2.45 = length

1.58 cm = length

Therefore, side length of the square = 1.58 cm

Answer: x > 3

Step-by-step explanation:

In order to find x, we must isolate it first.

Add one to both sides. It's now 4x < 12.

Now we divide both sides by 4, remember that every time we divide or multiply we must flip the inequality symbol.

The final answer is x > 3

Answer:

Unit rate!

Step-by-step explanation:

A unit rate is a rate that has a denominator of 1!

~ LadyBrain

Answer:

9.44 x 10^4 in scientific notation

Step-by-step explanation:

Answer: 9.43x 10^4

Step-by-step explanation:

Answer:

y = 4x - 7 (Answer C)

Step-by-step explanation:

First find the slope of this line.  Note that as we go from (2, 1) to (3, 5), x (the 'run') increases by 1 and y (the 'rise') increases by 4.  

Thus, the slope, m, is

m = rise / run = 4/1, or m = 4.

Apply the point-slope form of the equation of a straight line, since we now have both the slope and two points on the line:

y - k = m(x - h) becomes y - 1 = 4(x - 2)

Solving for y, we get:  y = 4x - 8 + 1, or y = 4x - 7 (Answer C)

Answer:

Assuming you meant to write -2/3 instead of =2/3, the answer is 2x+3y= -12

Step-by-step explanation:

Answer:

The mean is: 19

Step-by-step explanation:

Add all of those numbers up (133)

Divide it by the total amount of numbers (7)

133÷7=19

Answer:

Mean: 19 | Median: 12 | Mode: 33 | Range: 31

Step-by-step explanation:

It will help you find any mean: https://www.calculators.org/math/mean-median-mode.php

Answer:

[tex] \frac{14.4}{9} = 1.6[/tex]

Answer:

$1.55

Step-by-step explanation:

14.01÷9 gives you the prics if each industry mug ie a unit

Step-by-step explanation:

f(x) = 2^x (this is exponential function)

f(x) = 8

the equation is :

2^x = 8

2^x = 2³

cross out 2

so, we get : x= 3

The conversion is given below.

x is 3.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = [tex]2^x[/tex]

f(x) = strength and x is the length.

Now,

Strength = 8

So,

8 = [tex]2^x[/tex]

Taking logs on both sides.

log 8 = x log 2

x = log 8 / log 2

x = log (8/2)

x = log 4

x = log [tex]2^2[/tex]

x = 2 log 2

or

2 x 2 x 2 = 2³ = 8

So,

8 = 2³

x = 3

Thus,

x = 3.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ2

Answer:

A u B = {1,3,5,7,9,11,13,15,17,19,23}

A n B = {5,7,11,13}

Step-by-step explanation:

The prime numbers between 4 and 25 are; 5, 7, 11 , 13 , 17 , 19 and 23

A = {5, 7,11, 13, 17, 19,23}

B are odd numbers less than 16

B = {1, 3 , 5,7,9,11,13,15}

The union of both is the list of all values present in both sets without repeating;

A u B = {1, 3, 5,7,9,11,13,15,17,19,23}

A n B is the set that contains values that are present in both sets

A n B = {5,7,11 , 13}