There are 7 trucks for every 5 cars . If there are 21 trucks, how many cars are there?

Answer:

Set your calculator to Degree mode.

a² = 17² + 20² - 2(20)(17)cos(89°)

a² = 677.13236

a = 26.0 in.

sin(89°)/26.02177 = (sin B)/17

sin B = 17sin(89°)/26.02177

B = 40.8°

C = 50.2°

Answer:

6 hrs

Step-by-step explanation:

Answer:

45 meters

Step-by-step explanation:

\(Area=\frac{1}{2}bh\\ A=\frac{1}{2}(6)(15)\\ A=3(15)\\A=45\)

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Answer:

A=45 m²

Step-by-step explanation:

The formula for the area of a triangle is, \(\bigstar\underline{\boxed{\sf{A=\frac{bh}{2}}}}\).

where :

\(\triangleright\sf{A=Area,b=base,h=height}\triangleleft\)

Substitute the values,

\(\large\begin{gathered}\sf{A=\frac{6*15}{2} \\ \sf{A=\frac{90}{2}\\\bigstar\underline{\boxed{\sf{A=45 \ m^2}}}} \end{gathered}\)

Done !! Hope this made sense to you :)

\(\small\boldsymbol{Calligraphy}\)

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Answer:

Step-by-step explanation:

3.6*

It is very easy to find the perimeter of a square when its area is given in the question. For that, you only ned to know one fomula. That formula is: Area = side^2

For this particular question, the given value for the area of the square is 36 sq.cm. So, we can solve for the side(s) by substituting the given value in the above mentioned formula.

We get

36 = s^2

Now, we need to get the square root of both sides, which gives us

s = √36 s = 6 cm

Since all the sides of a square are equal in length, the side length is 6 cm. Now to determine the perimeter, we must multiply the side length by 4 (because there are 4 equal sides in a square). That gives us Perimeter = 4 x side length Perimeter = 4 x 6 cm.

Therefore, the perimeter of the square is 24 cm.

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Answer:

I don't even see the whole problem?

Step-by-step explanation:

Try asking you Mom/Dad for help.

Answer:

x=20

Step-by-step explanation:

Let's solve your equation step-by-step.

4x−4+3x−2+2x+6=180

Step 1: Simplify both sides of the equation.

4x−4+3x−2+2x+6=180

4x+−4+3x+−2+2x+6=180

(4x+3x+2x)+(−4+−2+6)=180(Combine Like Terms)

9x=180

9x=180

Step 2: Divide both sides by 9.

9x

9

=

180

9

x=20

Answer:

x=20

Answer:

x=20

Step-by-step explanation:

im pretty sure this is right. you can't take away 4 from 4 x, so you do it like this: -4+(-2)+6 =0. 4x + 3x + 2x =9x. 180/9 = 20

Answer:

Base rate: $120

Rate: $2 per person

Equation: f(x)=2x+120

Step-by-step explanation:

If 30 people cost $180 and 50 people cost $220, the charge for 20 extra people is $40.  This means, \(\frac{220-180dollars}{50-30people}=\frac{40dollars}{20people}=2\frac{dollars}{person}\).

These values correspond to a base rate for the bus of $120.

The function for the cost per bus with x number of people on it would be:

\(f(x)=2x+100\)

This can be checked by using the values given in the problem:

\(f(30)=2(30)+120=180\\f(50)=2(50)+120=220\)

The base rate of $120 and $2 per person satisfies the given equation and established values.

Answer:

The quotient is estimated to be 69.

Other:

Brainliest? Thanks!

Answer:

The correct answer is: u = 10,500. When the value of the alternative hypothesis is greater than that of the null hypothesis, the power of the test will be increased, so a value of u = 10,500 would yield the greatest power to reject the null hypothesis.

Answer:

It is an alternate angle

Answer:

f(x) = -5/9x - 11/9

Step-by-step explanation:

Consider f(x) = y

so if x = -4 => y = 1 and x = 5 => y = -4

so (-4,1) and (5,-4) should be on the same linear equation

Slope m = (y2 - y1)/(x2 - x1)

m = (-4 - 1)/(5 -  -4) = (-5)/(9) = -5/9

y = mx + b

given m = -5/9, x = -4, y = 1

1 = -5/9(-4) + b

b = 1 - 20/9

b = 9/9 - 20/9 = -11/9

so y = -5/9x - 11/9

or f(x) = -5/9x - 11/9

\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=15\pi \end{cases}\implies 15\pi =2\pi r\implies \cfrac{15\pi }{2\pi }=r\implies \cfrac{15}{2}=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2 \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{15}{2} \end{cases}\implies A=\pi \left( \cfrac{15}{2} \right)^2\implies A=\cfrac{225\pi }{4}\implies A=56.25\pi\)

The number of small rooms reserved is 4.

The number of large rooms reserved is 8.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Small rooms are denoted as S.

Large rooms are denoted as L.

Now,

We will make two equations.
L = 2S _____(1)

8L + 6S = 88 ______(2)

Putting (1) in (2) we get,

8L + 6S = 88

8 x (2S) + 6S = 88

16S + 6S = 88

22S = 88

S = 88/22

S = 8/2

S = 4

Now,

Putting S = 4 in (1) we get,

L = 2 x 4

L = 8

Thus,

The number of small rooms and large rooms reserved is 4 and 8.

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Answer:

x = -3, y =3

Step-by-step explanation:

y = -4/3x - 1

y = 1/3x + 4 -------> 4y = 4/3x + 16

Adding the first equation and the new second equation together:

5y = 15 ------> y = 3

Plug y = 3 into one of the original equations:

3 = 1/3x + 4

-1 = 1/3x

x = -3

Answer:

$60,000

Step-by-step explanation:

Given :

Monthly earning = $600

Commission = 3%

Month's goal = $2400

Let total sales for the month = x

Hence,

Monthly earning + (commission * total sales) = monthly goal

600 + (0.03 * x) = 2400

600 + 0.03x = 2400

0.03x = 2400 - 600

0.03x = 1800

x = 1800 / 0.03

x = $60,000

Area of the patio is -6x² + x + 2 square yards and perimeter of the patio is 6 - 2x yards.

A yard is a unit of measurement used to measure length or distance in both the US customary system and the British imperial system. One yard is equal to 3 feet or 36 inches. In the US customary system, a yard is equal to 0.9144 meters, while in the British imperial system, it is equal to 0.9144 meters or 3 feet. Yards are commonly used for measuring larger distances, such as in construction or landscaping, as well as in some sports like American football and cricket.

The area of the rectangular patio is given by multiplying its length by its width, so the area is:

A = (1 + 2x)(2 - 3x)

Now using distributive property we get,

A = 2 - 3x + 4x - 6x²

Simplifying further, we get:

A = -6x² + x + 2

Therefore, the area of the patio is described by the quadratic equation -6x² + x + 2.

To find the perimeter of the patio, we add up the lengths of all four sides. The length and width are given as (1 + 2x) and (2 - 3x), respectively, so the perimeter is:

P = 2(1 + 2x) + 2(2 - 3x)

Simplifying this expression, we get:

P = 2 + 4x + 4 - 6x

P = 6 - 2x

Therefore, the perimeter of the patio is described by the linear equation 6 - 2x.

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Answer:

90

Step-by-step explanation:

add the ratio 3+5 to get 8

amina received 3/8 of 240

perform the calculation 3/8×240

240/8=30. , 30×3=90

Answer:

9

Step-by-step explanation:

Answer: 9

Step-by-step explanation:

Square Rooting is basically going down to the origins of the number, trying to figure out what times (x) would give you your current number. In order it get 81, you would need  to do 9*9, therefore making the square root 9

Answer:

The 23rd term is -187

Step-by-step explanation:

U₂₃=??, a=77, d=-12, n=23

U₂₃=a+(n-1)d

U₂₃=77+(23-1)(-12)

U₂₃=77+22(-12)

U₂₃=-187

U₂₃=-187

∴U₂₃=-187

The slopes are best approximated as: The slopes are approximately -1.7, 0, and 1.7.

The formula to find the slope between two coordinates is expressed as:

Slope = (y₂ - y₁)/(x₂ - x₁)

The slope of each line above the x-axis are:

Slope 1 = (5 - 0)/(5 - 8)

Slope 1 = -1.7

Slope 2 = (5 - 5)/(5 - (-2))

Slope 2 = 0

Slope 3 = (5 - 0)/(-2 - (-5))

Slope 3 = 5/3 = 1.7

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Answer:

(40*4)-(32*4)=32

160-128=32

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Using the Pythagorean Theorem, you can find that the length of the final leg is:

\(\sqrt{5^2-3^2}=\sqrt{25-9}=\sqrt{16}=4\)

Therefore, the answer is A. Hope this helps!

A stock price will rise if demand for stock is greater than supply. So, the correct answer is option (d).

The stock price or share price is the amount of money it costs to buy shares in a company. Stock prices are not fixed and fluctuate based on market conditions. It is likely to go up if the company is viewed as good, and it is likely to go down if the company is not performing as expected. If there are more people who want to buy a demand than sell (supply ) it, the stock price will go up. Conversely, if more people want to sell than buy stocks, there will be more supply than demand and prices will fall. Understanding supply and demand is easy.

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Complete question:

A Stock Price Will Rise If:

a) Supply Of Stock Is Greater Than Demand

b)The Price-Earnings Ratio Is 10 Or Greater

c)Stock Yield Is Greater Than 8%

d) Demand For Stock is Greater Than Supply

e) None Of These.

Respuesta:

O número es 1.5

Explicacion paso-a-paso:

No sabemos cual o número, entonces o llamamos de x.

Siente mas que cuatro veces un número

7 + 4x

Igual a 13:

7 + 4x = 13

4x = 13 - 7

4x = 6

x = 6/4

x = 1.5

O número es 1.5

Answer:

\(\huge\boxed{\text{Numbers: 3, 18}}\)

Step-by-step explanation:

We can create two equations and solve the system of equations to find both the numbers. Let's represent the numbers as a and b.

We can create two equations:

\(a+b=21\)

\(b=6a\)

We can now substitute the value of b (6a) into the first equation.

\(a + (6a) = 21\)

Combine like terms:

\(7a=21\)

Divide both sides by 7:

\(a=3\)

Now we know the first number is 3. We can plug this value into one of the equations to find b. Let's plug it into \(b=6a\).

\(b = 6 \cdot 3\\\\b = 18\)

So our numbers are 3 and 18.

Hope this helped!

Step-by-step explanation:

We can create two equations and solve the system of equations to find both the numbers. Let's represent the numbers as a and b.

We can create two equations:

a+b=21a+b=21

b=6ab=6a

We can now substitute the value of b (6a) into the first equation.

a + (6a) = 21a+(6a)=21

Combine like terms:

7a=217a=21

Divide both sides by 7:

a=3a=3

Now we know the first number is 3. We can plug this value into one of the equations to find b. Let's plug it into b=6ab=6a .

b=6⋅3

b=18

So our numbers are 3 and 18.

Hope this helped!

The value of x from the expression is 6

Given the equation

3x - 16 = 2

Add 16 to both sides

3x - 16 + 16 = 2 + 16

3x = 2 + 16

Simplify the result

3x = 18

Divide both sides by 3

3x/3 = 18/3

x = 6

Hence the value of x from the expression is 6

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