Charles is planning on driving his car to the family reunion. The distance to
the meeting place is 1243 miles. If his car gets 30 mpg, how many gallons of
gas will he need?
A. 41.4
B. 51.4
C. 31.4
D. 21.4

Answer:

3x + 6 is equal to x + 2

Step-by-step explanation:

Answer: 3( x + 2)

Step-by-step explanation:

6

3x+6

3(x+2)

Answer:

A

Step-by-step explanation:

Answer:

the amount of leaves that fall of the tree in one day

Step-by-step explanation:

n is the amount of days

f is the amount of leaves that fall in a day

Answer:

A, C, E

Step-by-step explanation:

Factory M makes 200 screwdrivers per hour.

Factory N makes 100 screwdrivers per hour.

Answer:

x = 12

Step-by-step explanation:

We know that the integers are consecutive. This means that they can be written as:

x, x + 1, and x+2.

First Integer: x

Second Integer: x + 1

Third Integer: x + 2

It is also given that the sum of the first integer and twice the second is 80 minus three times the third.

Write as an equation:

First Integer + 2(Second Integer) = 80 - 3(Third Integer)

Substitute:

x + 2(x+1) = 80 - 3(x+2)

Multiply:

x + 2x + 2 = 80 - 3x - 6

Simplify:

3x + 2 = 74 - 3x

Add 3x to both sides of the equation:

6x + 2 = 74

Subtract 2 from both sides of the equation:

6x = 72

Divide both sides of the equation by 6:

x = 12

Let me know if you have any questions about my explanation!

Answer:

Step-by-step explanation:

According to question ,

• First Integer → x

• Second Integer → x + 1

• Third Integer → x + 2

Now question says that the sum of the first and twice the second is 80 minus three times the third that means ,

→ x + 2 ( x + 1 ) = 80 - 3 ( x + 2 )

→ x + 2x + 2 = 80 - 3x - 6

→ 3x + 2 = -3x + 74

→ 3x + 3x = 74 - 2

→ 6x = 72

→ x = 72/6

→ x = 12

Hence , value of x is 12 that means :

→ x = First Integer = 12

→ x + 1 = Second Integer = 13

→ x + 2 = Third Integer = 14

In all of these x is the smallest integer and hence 12 is the correct answer .

Answer:

0.0002

Step-by-step explanation:

Answer:

0.0002

Step-by-step explanation:

Answer:

219

Step-by-step explanation:

Answer:

7π

Step-by-step explanation:

SO first find the area of the whole circle

which has a radius of 3

a=πr^2

So 3^2=9

9π

Now the two circles which are the same in area due to having the same radius

so if you plug in the 1 for radius the answer would just be π or 1π

now multiply that by 2 becuase there are 2 identical circles

π*2=2π

Now subtract

9π-2π=7π

Answer:

Step-by-step explanation:

area of unshaded circle:

A=π*r^2=π*1=π

we have 2 circles so the area of both circles are 2π

area of the large circle is A(l)=Π*3^2=Π*9=9Π

area of the shaded region: A(s)=9Π-2Π=7Π

Answer:

true

Step-by-step explanation:

its TRUE :)

Answer:

False

Step-by-step explanation:

Take a=-1 and b=-1/7

-3+-15/7=-36/7 which is not divisible by 3. There are several other examples which I don't even need to prove

Answer:

25 kilometers

Step-by-step explanation:

Answer:

D is the answer

Step-by-step explanation:

Answer:

growth

140%

Step-by-step explanation:

The function f(x) is an exponential growth function as f(x) increases when x increases.

The percent rate of change of the function f(x) is 201.6%.

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) = 0.6 [tex](2.4)^x[/tex]

For x = 1,

f(1) = 0.6 x 2.4 = 1.44

For x = 2,

f(2) = 0.6 x 2.4² = 0.6 x 5.76 = 3.456

For x = 3,

f(3) = 0.6 x 2.4³ = 0.6 x 18.824 = 8.2944

We see that,

As the value of x increases, the value of f(x) increases.

f(x) is an exponential growth function.

Now,

The percentage rate of change of function f(x).

= (f(2) - f(1)) / (2 - 1) x 100

= (3.456 - 1.44) x 100

= 2.016 x 100

= 201.6 %

Thus,

f(x) is an exponential growth function.

f(x) percent rate of change is 201.6%

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ2

Answer:

Choice c. [tex]\sqrt{12}[/tex]

Step-by-step explanation:

Vectors

Suppose we have a vector v defined as

[tex]\vec v=a\mathvf{i}+b\mathvf{j}[/tex]

The magnitude of the vector is:

[tex]\mid\mid\vec v\mid\mid=\sqrt{a^2+b^2}[/tex]

On the other hand, the dot product of the vector by itself is:

[tex]\vec v\cdot\vec v=a*a+b*b=a^2+b^2[/tex]

Note the relation between these two operations is:

[tex]\mid\mid\vec v\mid\mid=\sqrt{\vec v\cdot\vec v}[/tex]

Since we are given:

[tex]\vec v\cdot\vec v=12[/tex], then:

[tex]\mid\mid\vec v\mid\mid=\sqrt{12}[/tex]

Choice c) [tex]\sqrt{12}[/tex]

Answer:

[tex]a_{n} = \frac{n}{(n +1)^{2}}[/tex]

Step-by-step explanation:

[tex]a_{n} = \frac{n}{(n +1)^{2}}[/tex]

[tex]a_{1} = \frac{1}{(1 +1)^{2}} = \frac{1}{2^{2}} = \frac{1}{4}\\\\a_{2} = \frac{2}{(1 +2)^{2}} = \frac{2}{3^{2}} = \frac{2}{9}\\\\a_{3} = \frac{3}{(1 +3)^{2}} = \frac{3}{4^{2}} = \frac{3}{16}\\[/tex]

Answer:

Only B is linear

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

3x - 7 = x² - 5x + 5

x² - 5x + 5 - 3x + 7 = 0

x² - 8x + 12 = 0

(x-6)(x-2)=0

x = 6

x = 2

Answer:

I don't get it. Is that the full question?

Answer:

9/2

5/3

13/4

3/2

Step-by-step explanation:

Here is the full question:

[tex]The \ shell \ of \ the \ land \ snail \ Limocolaria \ martensiana \ has \ two \ possible \ color[/tex][tex]forms: \ streaked \ and \ pallid. \ In \ a \ certain \ population \ of \ these \ snails, \ 60\% \ o f \ the[/tex][tex]individuals \ have \ streaked \ s hells.\ 16 \ Suppose \ that \ a \ random \ sample \ of \ 10 \ snails[/tex][tex]is \ to \ be \ chosen \ from \ this \ population. \ F ind \ the \ probabilit y \ that \ the \ percentage \ of[/tex]

[tex]streaked-shelled \ snails \ in \ t he \ sample \ will \ be[/tex]

[tex](a) 50\%. \ (b) 60\%. \ (c) 70\%.[/tex]

Answer:

(a) 0.2007

(b) 0.2510

(c) 0.2150

Step-by-step explanation:

Given that:

The sample size = 10

Sample proportion= 60% 0.6

Let X represents the no of streaked-shell snails.

[tex]X \sim Binom (n =1 0, p = 0.60)[/tex]

The Probability mass function (X) is:

[tex]P(X =x)= (^n_x) p^x(1-p)^{n-x}; x = 0,1,2,3...[/tex]

The Binomial probability with mean μ = np

= 10 * 0.6

= 6

Standard deviation σ = [tex]\sqrt{np(1-p)}[/tex]

= [tex]\sqrt{10*0.6*(1-0.6)}[/tex]

= 1.55

The probability that the percentage of the streaked-shelled snails in the sample will be:

a)

[tex]P(X = 0.5) = ^nC_x p^x (1 -p) ^{(n-x)}[/tex]

[tex]= ^{10}^C_5 * (0.6)^5(1-0.6)^{10-5}[/tex]

[tex]= \dfrac{10!}{5!(10-5)!} * (0.6)^5(1-0.6)^{10-5}[/tex]

= 0.2007

b)

[tex]P(X = 0.6) = ^nC_x p^x (1 -p) ^{(n-x)}[/tex]

[tex]= ^{10}^C_6 * (0.6)^6(1-0.6)^{10-6}[/tex]

[tex]= \dfrac{10!}{6!(10-6)!} * (0.6)^6(1-0.6)^{10-6}[/tex]

= 0.2510

c)

[tex]P(X = 0.7) = ^nC_x p^x (1 -p) ^{(n-x)}[/tex]

[tex]= ^{10}^C_7 * (0.6)^7(1-0.6)^{10-7}[/tex]

[tex]= \dfrac{10!}{7!(10-7)!} * (0.6)^7(1-0.6)^{10-7}[/tex]

= 0.2150

Answer:

D

Step-by-step explanation:

Answer:hope it helped

Step-by-step explanation:

c answer

Step-by-step explanation:

given

g(r)= -1 -7r

g ( 6) = - 1 - 7 * 6

= - 1 - 42

= - 43

Answer:

You have to divide the total sales by 8 percent. 32,000/ 0.8 =40,000

So your answer is 40,000.

Step-by-step explanation:

Answer:

4060

Step-by-step explanation:

8/100(32000)+1500=4060

Answer:

190.2

Explanation:

3.5x2.8=9.8

200-9.8=190.2

Answer:

how do you find the product of 3.5 x 2.8

Step-by-step explanation:

explain how you got it.

Answer: 64/3

Step-by-step explanation:

Full working out shown from step 1 to last.

follow it and you get 24 square feet as final answer. Good luck in other questions!!!

Answer:

C = 62.8 cm

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define

r = 10 cm

Step 2: Find C

Answer:

62.8

Step-by-step explanation:

Radius is 10, so the diameter is 20 (10x2)

20 x 3.14(pi)= 62.8

Answer:

Cheese B

Step-by-step explanation:

Find the cost of 1 slice for Cheese A:

Find the cost of 1 slice for Cheese B:

Make a conclusion:

Because $0.32 is less than $0.359, Cheese B is the better buy.

I hope this helps!

Answer: 24xy

I'm not sure if I'm right, but if I am and you have any questions about how it was solved, feel free to ask!! :)

Answer:

781.25

Step-by-step explanation:

Regular pay = 40*12.50 = 500.00

Overtime = 15*12.5*1.5 = 281.25

Gross pay = 500.00 + 281.25 = 781.25