which is a solution for 3 > f? f = 7 f = 9 f= 3 f =2?

Answer:

200ft.

Step-by-step explanation:

It's 200ft because you just do 1000 - 800 = 200ft

Answer:

200

Step-by-step explanation:

Answer: About 16

Step-by-step explanation:

Given : The length of the ramp = 500 cm

The circumference of the wheel = 32 cm

We know that the number of rotations made by a wheel is given by :-

[tex]\text{No. of rotations}=\text{Length of the ramp}\div\text{ Circumference of wheel}[/tex]

Therefore , the number of rotations made by each wheel = [tex]500\div32[/tex]

[tex]=15.625\approx16[/tex]  [Rounded to the nearest integer.]

Hence,  each wheel will make about 16 rotations while Shawn is coasting down the ramp.

Answer:

13.48

Step-by-step explanation:

No, George do not have enough money for his plan of watching movie and purchase the items. So, the numerical expression is 15 - (9+2.65+2(1.35)+2(1.74)).

Given that, George has $15.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The numerical expression for the given situation is

15 - (9+2.65+2(1.35)+2(1.74))

= 15 - (9+2.65+2.7+3.48)

= 15 - 17.83

= -2.83

No, George do not have enough money for his plan of watching movie and purchase the items. So, the numerical expression is 15 - (9+2.65+2(1.35)+2(1.74)).

To learn more about an expression visit;

https://brainly.com/question/28170201.

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Answer:

The answer to number 1 is A.

Step-by-step explanation:

To find this answer, I made 1 1/3 into one big fraction. I multiplied the denominator by the whole number (3x1) and then added that product to the numerator. (3+1). The new fraction is now 4/3 (you keep the denominator the same). The next step is to multiply 4/3 by 3/8. When multiplying fractions, you multiply straight across (the numerator by the numerator, and the denominator by the denominator). Your answer is now 12/24. The final step is to simplify the answer. Since 12 is half of 24, the answer is 1/2.

Answer:

Step-by-step explanation:

First add 5x to 12x which becomes 17x and subtract 8 from 12 which becomes 4. So the answer is 17x+4!

Answer:

See below.

Step-by-step explanation:

Original   Doubled    Ingredient  

1½ c        ⟶ 3 c          all-purpose flour  (2×1½ = 2×1 + 2×½ = 2+1 = 3)

1 tsp        ⟶ 2 tsp      salt  

1 Tbsp    ⟶ 2 Tbsp   sugar

1 Tbsp    ⟶ 2 Tbsp   baking powder

⅓ c         ⟶ ⅔ c        vegetable shortening

⅔ c        ⟶ 1⅓ c        buttermilk  (2×⅔ = ⁴/₃ = 1⅓)

Answer:  25 miles

Step-by-step explanation:

Since, the total distance = 31 miles.

Let he walks x miles at the rate of 4 miles per hour.

⇒ he walks remaining (31-x) miles at the rate of 50 miles per hour.

According to the question,

[tex]\frac{x}{4} + \frac{31-x}{50} = 2[/tex]

⇒ [tex]\frac{25x}{100} + \frac{62-2x}{100} = 2[/tex]

⇒  [tex]\frac{25x+62-2x}{100}= 2[/tex]

⇒  [tex]\frac{23x+62}{100}= 2[/tex]

⇒ [tex]23 x + 62 = 200[/tex]

⇒ [tex]23 x = 200 - 62[/tex] ( by subtracting 62 on both sides )

⇒  [tex]23 x = 138[/tex]

⇒ [tex]x=\frac{138}{23}[/tex] ( Dividing both sides by 23 )

⇒ [tex]x = 6[/tex]

Thus, the distance he pays to the cab driver = 31-x= 31 - 6 = 25 miles.

Therefore, He pays to the cab driver for 25 miles.

Distance that must be paid to the taxi = 25 miles

Linear motion consists of 2: constant velocity motion with constant velocity and uniformly accelerated motion with constant acceleration

• At constant velocity motion:

the speed of vo = v = constant

acceleration = a = 0

An equation of constant velocity motion

[tex]\large {\boxed {\bold {x = v \times \: t}}}[/tex]

x = distance = m

v = speed = m / s

t = time = seconds

so

[tex]\rm t=\dfrac{x}{v}[/tex]

A mountain path is 31 miles long

The distance traveled by tourists = x1

The distance traveled taxi = x2, such that

x1 + x2 = 31

x1 = 31-x2

total travel time (t) = 2 hours

tourist speed = v1 = 4 mph

taxi speed = v2 = 50 mph

time taken by tourists = t1

[tex]\rm \dfrac{x1}{v1}=\dfrac{x1}{4}[/tex]

the time taken by taxi = t2

[tex]\rm \dfrac{x2}{v2}=\dfrac{x2}{50}[/tex]

total time = t1 + t2

[tex]\rm 2=\dfrac{x1}{4}+\dfrac{x2}{50}\\\\2=\dfrac{25x1+2x2}{100}\\\\200=25(31-x2)+2x2\\\\200=775-25x2+2x2\\\\575=23x2\\\\x2=\boxed{\bold{25~miles}}[/tex]

The distance of the elevator

brainly.com/question/8729508

resultant velocity

brainly.com/question/4945130

the average velocity

brainly.com/question/5248528

Answer:

(-3x+30)

Step-by-step explanation:

We first distribute: 4(x+7) = 4x+28

Then, we bring it down.

4x+28-7x=2

Combine like terms.

4x+(-7x) = -3x ... 28+2 = 30.

Combine both results.

-3x+30

Answer:

[tex]-3x+30[/tex]

Step-by-step explanation:

We have been given an expression [tex]4(x+7)-7x+2[/tex]. We are asked to simplify our given expression.

Using distributive property [tex]a(b+c)=ab+ac[/tex], we will get:

[tex]4*x+4*7-7x+2[/tex]

[tex]4x+28-7x+2[/tex]

Combine like terms:

[tex]4x-7x+2+28[/tex]

[tex]-3x+30[/tex]

Therefore, the simplified form of our given expression would be [tex]-3x+30[/tex].

Answer:

7^4

Step-by-step explanation:

We are multiplying 7 together 4 times

7*7*7*7

The exponent represents how many times we are multiplying it together.

7^4

Answer:

[tex]7^4[/tex]

Step-by-step explanation:

A mathematical expression written in the form [tex]a^x[/tex] is said to be an exponential expression where [tex]a[/tex] is a constant called the base and [tex]x[/tex] is a variable.

Here we are given a numerical expression 7.7.7.7 which can also be converted into an exponential expression where base would be 7 while the value of its exponent will be 4 since the number 7 is occurring 4 time.

Therefore, the exponential expression will be [tex]7^4[/tex]

Answer:

a = 5.81 m

Step-by-step explanation:

We can use the Pythagorean theorem

a^2 + b^2 = c^2

where b= 1.5 and c= 6

a^2 +1.5^2 = 6^2

a^2 +2.25 = 36

Subtract 2.25 from each side

a^2 +2.25-2.25 = 36-2.25

a^2 = 33.75

Take the square root of each side

sqrt(a^2) = sqrt(33.75)

a = 5.809475019

We only take the positive root because length must be positive

Answer:

x=6 ; y=1

Step-by-step explanation:

Let 'y' stand for the speed of the wind and 'x' stand for the speed of Santa. We will use the general equation (distance)=(rate)(time) to write two equations from the given information:

With the wind:

35=(x+y)(5)

Against the wind:

35=(x-y)(7)

Now we have two equations and two unknowns so we can solve for x and y. We get:

x=6 miles/min

y=1 miles/min

Answer:

Option C is correct.

(1, 4)

Step-by-step explanation:

A system of equation is given :

2x + 3y =12                 .....[1]

4x + 2y =10                 .....[2]

Multiply equation [1] by 2 both sides we get;

[tex]2(2x+3y) = 2(12)[/tex]

Using distributive property i,e [tex]a \cdot(b+c) = a\cdot b+ a\cdot c[/tex]

4x + 6y = 24                           .....[3]

Subtract equation [2] from [3] to eliminate x we get;

4x + 6y - 4x - 2y= 24 - 10

Combine like terms;

4y = 14

Divide both sides by 4 we get;

y = 3.5

Substitute the value of y in equation [1] we have;

2x + 3(3.5) =12

2x + 10.5 = 12

or

2x = 12 -10.5

2x = 1.5

Divide both sides by 2 we get;

x = 0.75

Solution = (0.75 , 3.5)

Best estimate solution =  (1, 4)

Therefore, the best estimate solution of the given system of equation is, (1, 4)

Answer:

1,4 is the best estimate.

Step-by-step explanation:

Simplify 2/3 + n + 6 to n + 20/3

n + 20/3 = 3/4

Subtract 20/3 from both sides

n = 3/4 - 20/3

Simplify 3/4 - 20/3 to - 71/12

n = -71/12

Answer:

Step-by-step explanation:

Answer:

2144.66cm I think

Step-by-step explanation:

To find the percent, divide 9 by 27 to get a decimal, then multiply the decimal by 100 to get the percent:

9 / 27 = 0.333

0.333 x 100 = 33.3%

Answer:

33.33%

Step-by-step explanation:

9/27*100

=0.3333*100

=33.33%

Answer:

your answers are 2,and 18

Step-by-step explanation:

Answer: The slope to the equation 9x + 4y = -36 is m=-9/4

Use the slope intercept form to find the slope, and the form being y=mx+b.

Hope this helps! :)

Answer:

Step-by-step explanation:

First Question

What you need to do here is pick an answer that will result in a decrease. If you have something like 1.3 * e ^ (0.038 * t), what will happen when t = 20

P = 1.3 * e^(0.038*20) = 1.3*e^0.76 = 2.77 which is getting bigger not smaller.

So what you want is something like 1.3 * e^-0.76 = 0.67

So which question is configured that way?

It's either C or D. but which one? It cannot be D. 0.38 is far too big: it does not represent 3.8%

C does represent 3.8% as a decimal. It is the correct answer.

Answer: C

Second Question

Every time she sells a ticket, the total that she gets is 4 more than what she had before.

The variation is a direct one. It is y = k*x. But what is k? Is it 4 or is it 1/4?

Read the first sentence above. She gets 4 dollars more, not 1/4 of a dollar.

C and D are both wrong because those equations think she is getting 1/4 more.

B is wrong because it says that the relationship is inverse. It is not. It is direct.

The answer is A

[tex]8x^2-12x-8=4(2x^2-3x-2)=4(2x^2-4x+x-2)\\\\=4[2x(x-2)+1(x-2)]=4(x-2)(2x+1)\\\\\boxed{ 8x^2-12x-8 =4(x-2)(2x+1)}[/tex]

Answer:

4(2x+1)(x-2)

Step-by-step explanation: I just did it

Answer:

50 sq. units

Step-by-step explanation:

The length of the base and the height of a triangle are numerically equal.

Let us assume that, the length and height as x.

So the area of the triangle will be,

[tex]\text{Area}=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}=\dfrac{x^2}{2}[/tex]

As their sum is 30 less than the number of units in the area of the triangle, so

[tex]\Rightarrow x+x=\dfrac{x^2}{2}-30[/tex]

[tex]\Rightarrow 2x=\dfrac{x^2}{2}-30[/tex]

[tex]\Rightarrow 4x=x^2-60[/tex]

[tex]\Rightarrow x^2-4x-60=0[/tex]

[tex]\Rightarrow x^2-10x+6x-60=0[/tex]

[tex]\Rightarrow x(x-10)+6(x-10)=0[/tex]

[tex]\Rightarrow (x+6)(x-10)=0[/tex]

[tex]\Rightarrow (x+6)=0,(x-10)=0[/tex]

[tex]\Rightarrow x=-6,x=10[/tex]

Neglecting negative roots,

[tex]\Rightarrow x=10[/tex]

Hence, the base and height of the triangle is 10 units, so the area will be,

[tex]\text{Area}=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}=\dfrac{1}{2}\cdot 10\cdot 10=50\ unit^2[/tex]

Elimination Method

[tex]\left\{\begin{array}{ccc}36x+45y=123&\text{divide both sides by (-3)}\\46x+15y=23\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-12x-15y=-41\\46x+15y=23\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad34x=-18\qquad\text{divide both sides by 34}\\.\qquad\qquad x=-\dfrac{18}{34}\to\boxed{x=-\dfrac{9}{17}}\\\\\text{Put the value of x to the second equation.}\\\\46\left(-\dfrac{9}{17}\right)+15y=23[/tex]

[tex]-\dfrac{414}{17}+15y=\dfrac{391}{17}\qquad\text{add}\ \dfrac{414}{17}\ \text{to both sides}\\\\15y=\dfrac{805}{17}\qquad\text{divide both sides by}\ 15\\\\y=\dfrac{805}{255}\\\\\boxed{y=\dfrac{161}{51}}\\\\Answer:\ \boxed{x=-\dfrac{9}{17}\ and\ y=\dfrac{161}{51}}[/tex]

Hey there!

[tex]-3(e-6)= 39[/tex]

[tex]-3(e)[/tex] [tex]+[/tex] [tex]-3(-6)[/tex] [tex]= 39[/tex]

Good luck on your assignment and enjoy your day!

~[tex]LoveYourselfFirst:)[/tex]

Answer:

WTH IDOT SCR*W YOU

Step-by-step explanation:

Answer:

135 Miles

Step-by-step explanation:

Answer:

At the nearest mile, stations B and C are 75 miles apart.

Step-by-step explanation:

In the attached image we can see all the three stations. The closest distance between stations B and C would be a straight line that can be calculate using the Cosine Rule:

[tex](BC)^2=(AB)^2+(AC)^2-2(AB)(BC)cos(\alpha)[/tex]}

Where:

AB is the distance between stations A and B

AC is the distance between stations A and C

α is the angle formed between the AC and AB railway lines

[tex](BC)^2=(105)^2+(85)^2-2(105)(85)cos(45)[/tex]

[tex]BC=75.02 miles[/tex]

So, at the nearest mile, stations B and C are 75 miles apart.

46 × 12 = 46 × (10 + 2)  =

= (46 × 10 ) + (46 × 2)  

= 460 + 92

= 552

Answer: B. 2/5 of the book.