PLEASE HURRY!!

3cx + cx =7

Answer:

FG = 7

Step-by-step explanation:

We'll begin by calculating HF. This can be obtained by using the pythagoras theory as illustrated below:

EF = 7

EH = 3

HF =?

EF² = EH² + HF²

7² = 3² + HF²

49 = 9 + HF²

Collect like terms

49 – 9 = HF²

40 = HF²

Take the square root of both side

HF = √40

Finally, we shall determine FG. This can be obtained as follow:

GH = 3

HF = √40

FG =.?

FG² = GH² + HF²

FG² = 3² + (√40)²

FG² = 9 + 40

FG² = 49

Take the square root of both side

FG = √49

FG = 7

Answer:

V ≈ 4021 mm³

General Formulas and Concepts:

Symbols

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Volume of a Cylinder Formula: V = πr²h

Step-by-step explanation:

Step 1: Define

Identify variables

r = 8 mm

h = 20 mm

Step 2: Find Volume

Please look at the scanned picture.

Answer:

62°

Step-by-step explanation:

Inscribed Angle Theorem

Inscribed angles measures are 1/2 of the arc they create.

m∠FJH x 2 = arc FH

Just take the 31° and double it.

Answer:

29 ft

Step-by-step explanation:

the screens have 90 degree angles so they form right triangles with the diagonal, so use Pythagorean theorem to solve for the diagonal

diagonal² = 21² +20² , square and square root both sides of the equation

diagonal = √441+400, add

diagonal = √841, square root

diagonal = 29ft

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

Explanation:

We have these four cases or possible outcomes

Let's calculate the probability for case 4.

There are 7 black marbles out of 10 total. The probability of picking black is 7/10. If no replacement is made, then 6/9 is the probability of picking black again (subtract 1 from the numerator and denominator separately). Finally, 5/8 is the probability of getting black a third time.

The probability of getting 3 black marbles in a row is

(7/10)*(6/9)*(5/8) = (7*6*5)/(10*9*8) = 210/720 = 7/24.

That fraction 7/24 means that if you had 24 chances, then you expect about 7 of them will lead to getting three black marbles in a row (aka case 4). Therefore, 24-7 = 17 occurrences are expected where we get cases 1 through 3 occur in some fashion (pick one case only).

Notice how cases 1 through 3 encapsulate the phrasing "at most 2 black marbles" which is another way of saying "2 black marbles is the highest we can go".

So that's why the answer is 17/24.

Answer:

See explanation

Step-by-step explanation:

It should be 9x² not x²

p = (3x + 1) and q = (3x - 1)

pq + 1 = (3x + 1)(3x - 1) + 1

= (9x² - 3x + 3x - 1) + 1

= (9x² - 1) + 1

= 9x² - 1 + 1

= 9x²

Therefore,

pq + 1 = 9x²

Answer:

Step-by-step explanation:

Answer:

x = -14

Step-by-step explanation:

x/2 = -7

~Multiply 2 to both sides

x = -14

Best of Luck!

Tanya should play The second game to win more.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given, Tanya is considering playing a game at the fair. There are three different ones to choose from, and it costs $2 to play a game. The probabilities associated with the games are given in the table.

From the general formula of weighted possibility :

Total weighted possibility = Sum of the weighted probability of desired outcomes - the weighted possibility of undesired outcomes

In our case,

For first game

The sum of the weighted possibility of desired outcomes = 0.20*1 + 0.25 *4

The sum of the weighted possibility of desired outcomes = 1.20

the weighted possibility of undesired outcomes = 0.55 * 2 = 1.10

Thus,

Total weighted desired possibility = 1.20 - 1.10

Total weighted desired possibility = 0.10

For second game

The sum of the weighted possibility of desired outcomes =0.35*1 + 0.50 *4

The sum of the weighted possibility of desired outcomes = 2.35

the weighted possibility of undesired outcomes = 0.15 * 2 = 0.30

Thus,

Total weighted desired possibility = 2.35 - 0.30

Total weighted desired possibility =  2.05

For third game

The sum of the weighted possibility of desired outcomes = 0.60*1 + 0.20*4

The sum of the weighted possibility of desired outcomes = 1.40

the weighted possibility of undesired outcomes = 0.20 * 2 = 0.40

Thus,

Total weighted desired possibility =1.40 - 0.40

Total weighted desired possibility = 1

Therefore, Tanya should play The second game to win more.

Learn more about probability here:

https://brainly.com/question/30034780

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Complete question:

Answer:

Step-by-step explanation:

If Kyle can get 5/8 of a shed built in x amount of time, he can get 62.5% done; if Jack can get 1/5 of the shed built in the same time, he can 20% of it done. As a ratio:

[tex]\frac{Kyle}{Jack}:\frac{62.5}{20}[/tex]  Kyle gets the whole thing done, 100% of the way, leaving Jack lagging behind at a somewhat lower percentage of the work being done.

[tex]\frac{Kyle}{Jack}:\frac{62.5}{20}=\frac{100}{x}[/tex] and cross multiply to solve for the percentage of the shed built by Jack by the time Kyle gets it completed:

62.5x = 2000 so

x = 32%

When Kyle will complete the work the amount of the work done by Jack will be 32%.

Mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

If Kyle can get 5/8 of a shed built in x amount of time, he can get 62.5% done; if Jack can get 1/5 of the shed built in the same time, he can 20% of it done. As a ratio:

Jack falls behind Kyle, completing only a small portion of the work, while Kyle completes the entire task and cross multiplies to solve for the percentage of the shed built by Jack by the time Kyle gets it completed:

Kyle / Jack ÷ 62.5 / 20 = 100 / x

62.5x = 2000 so

x = 32%

Therefore, when Kyle will complete the work the amount of the work done by Jack will be 32%.

To know more about an expression follow

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Answer:

35 ways

Step-by-step explanation:

The selection process in the given question can be referred to as combination, since 4 pairs of jeans are to be selected from the 7 pairs. There is no specific pattern of selecting the 4 pairs.

Thus, the selection can be done in 7[tex]C_{4}[/tex] ways.

7[tex]C_{4}[/tex] = [tex]\frac{7!}{(7-4)!4!}[/tex]

      = [tex]\frac{7!}{3!4!}[/tex]

      = [tex]\frac{7*6*5*4!}{3*2!4!}[/tex]

      = 7 x 5

      = 35

Therefore, 4 pairs of jeans can be selected from 7 pairs in 35 ways.

Answer:

option D. Car A has the same speed as car B.

B. x = 5

tip : if in a rush just plug in the number and see if its true

8x - 4 = 36

x = 5

Answer:

2 batches

Step-by-step explanation:

We can divide 7 1/2 by 3 3/4 to get 2, so the factory made 2 batches of granola bars yesterday.

Answer:

Step-by-step explanation:

Arrange the data set in ascending order. then find the median.

Data in ascending order:

2,  5 , 6 , 7 , 8 , 11 , 15

Median = 7

Lower quartile:

Then  again find the median of the numbers from the first to the number before the median. This is the lower quartile.

2 , 5, 6

Median = 5  ----> this  is the lower quartile.

Upper quartile:

Then  again find the median of the numbers that comes after the median to the end of the data set. This is the upper quartile.

8 , 11 , 15

Median = 11 ------> is the upper quatile

Answer:

-6

Step-by-step explanation:

The number line is created by skip counting of 2.

So, -2 ,  then -4 and then -6.

So,  blue dotted point is (-6)

Step-by-step explanation:

51 is not a prime number because it is divisible by 1,3 and 17

and we know prime number are only those number who arenot divisible by any other number except 1

Answer:

57 is divisible by 1,3,19 and 57

Step-by-step explanation:

A prime number is a number that is divisible only by 1 and itself; and 57 is not among the numbers like 2,3,5,7,11 etc

Answer:

[tex]8[/tex]

Step-by-step explanation:

Hope it helps you:D

*copied*

Answer:

"8"

4,6,8

Step-by-step explanation:

Given:

your speed = 70 mph

Your friend's speed = 75 mph

You want to drive at least 500 miles per day.

You also plan to spend no more than 10 hours driving each day.

To find:

The system of linear inequalities that represents this situation.

Solution:

Let x be the number of hours you drive and let y represents the number of hours your friend will drive.

You also plan to spend no more than 10 hours driving each day.

[tex]x+y\leq 10[/tex]

Your speed is 70 mph and your friend's speed is 75 mph. So, the distance covered in x and y hours are 70x miles and 75y miles respectively.

You want to drive at least 500 miles per day. So, the total distance must be greater than or equal to 500.

[tex]70x+75y\geq 500[/tex]

[tex]5(14x+15y)\geq 500[/tex]

Divide both sides by 5.

[tex]14x+15y\geq 100[/tex]

Therefore, the required system of inequalities has two inequalities [tex]x+y\leq 10[/tex] and [tex]14x+15y\geq 100[/tex].

Answer:

g(x) will be dilated horizontally to get f(x)

Step-by-step explanation:

Given

f(x) = g(kx) --> the correct equation

Required

The effect of k

The given equation is an illustration of horizontal dilation.

If |k| is greater than 0, then the function will be compressed.

However, if |k| is between 0 and 1 (exclusive), then the function will be stretched.

Take for instance:

f(x) = g(x/5)

In the above function, g(x) will be stretched by 5 units

Another instance is:

f(x) = g(x/0.5)

In the above function, g(x) will be stretched by 0.5 units

θ is given to be in the fourth quadrant (270° < θ < 360°) for which sin(θ) < 0 and cos(θ) > 0. This means

cos²(θ) + sin²(θ) = 1   ==>   sin(θ) = -√[1 - cos²(θ)] = -3/5

Now recall the double angle identity for sine:

sin(2θ) = 2 sin(θ) cos(θ)

==>   sin(2θ) = 2 (-3/5) (4/5) = -24/25

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[tex]\hookrightarrow\sf{ 25\% =\dfrac{25}{100}=\boxed{\bf \dfrac{1}{4} }} \\\hookrightarrow\sf{ 40\% =\dfrac{40}{100}=\boxed{\bf \dfrac{2}{5} }} \\\hookrightarrow \sf{16\%=\dfrac{16}{100}=\boxed{\bf\dfrac{4}{25}} } \\ \hookrightarrow\sf{150\%=\dfrac{150}{100}=\boxed{\bf\dfrac{3}{2} }} \\ \hookrightarrow\sf{120\%=\dfrac{120}{100}=\boxed{\bf\dfrac{6}{5} }} \\\hookrightarrow \sf{58\%=\dfrac{58}{100}=\boxed{\bf\dfrac{29}{50}} } \\\hookrightarrow \sf{32\%=\dfrac{32}{100}=\boxed{\bf\dfrac{8}{25} }} \\ \hookrightarrow\sf{175\%=\dfrac{175}{100}=\boxed{\bf\dfrac{7}{4}} } \\ [/tex]

Answer:

A.2x+6

B.60x-20

C.8x+4

D.6x-24y

Answer:

-3

Step-by-step explanation:

because as you vo more to the negative side the less.it gets and more to the positive side it gets moe