One delivery driver can complete a route in 7 h another can do the same route in 11 hours. What equation can the drivers use to determine time T in hours needed to complete the route when they work together?

Answer:

Step-by-step explanation:

All you have to do here is to divide polynomial f(x) = (x + 16)/x by polynomial g(x) = 2x / (x + 4), simplify the result and label the quotient properly.  Recall that division by a fraction involves inverting the divisor fraction and then multiplying.

               (x + 16)       (x + 4)      (x + 16)(x + 4)

(f/g)(x) = ------------- * ----------- = --------------------

                    x              2x                 2x^2

Note that this quotient is true for all x except x = 0.

Answer:

a*b = 8

Step-by-step explanation:

a-b =2

Let b= 2

a-2 =2

Add 2 to each side

a-2+2 =2+2

a =4

We want to find a*b

4*2 = 8

a*b = 8

First substitute 2 in for b to get a - (2) = 2.

Now isolate a by adding 2 to both sides to get a = 4.

Since a = 4, substitute 4 in for a and 2 in for b to get 4 × 2.

Multiplying, 4 × 2 gives us a product of 8.

So the value of a × b is 8.

Answer:

2u^2 +6aux+4ax

Step-by-step explanation:

2u^2 because u×2u

2aux cuz u× 2ax

4aux cuz 2ax×2u

4ax. cuz 2ax time 2ax

The multiplication of the binomials (u+2ax)(2u+2ax) can be solved using the FOIL method. The steps result in 2u^2 + 2uax + 4uax + 4a^2x^2. Combining like terms yields the final answer: 2u^2 + 6uax + 4a^2x^2.

The problem (u+2ax)(2u+2ax) is a mathematical multiplication of two binomial expressions. You may solve it by applying the distributive property, also known as the FOIL method (First, Outer, Inner, Last). Let's walk through the steps to solve it:

Then, add these results together: 2u^2 + 2uax + 4uax + 4a^2x^2. Combine like terms to get the final answer: 2u^2 + 6uax + 4a^2x^2.

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y=2x+20; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 20.

Answer:

A

Step-by-step explanation:

Answer:

it is C

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

if they had letters it would be

A     B

C     D

options B and D are similar

Answer:

II and IV

Step-by-step explanation:

We are given that four figures

We have to find two similar figures.

Similar figures: Two triangle are called similar when the ratio of corresponding sides are equal and corresponding angles are equal.

In Second and fourth figure

Each angle of second figure  is equal to its  corresponding angle of fourth figure.

Ratio of corresponding sides

[tex]\frac{6}{12}=\frac{1}{2}[/tex]

[tex]\frac{2.5}{5}=\frac{1}{2}[/tex]

[tex]\frac{6.5}{13}=\frac{1}{2}[/tex]

[tex]\frac{6}{12}=\frac{2.5}{5}=\frac{6.5}{13}[/tex]

Hence, second and fourth figure are similar to each other.

Answer:

first number is 2, second number is 2

Step-by-step explanation:

If the first number is 'a' and second number is 'b'. We can use simultaneous equations

9a + 4b = 26

3a + 4b = 14

therefore by taking the second equation from the first

6a = 12

a = 2 (first number)

as a = 2

(3 x 2) + 4b = 14

6 + 4b = 14

4b = 8

b = 2 (second number)

By setting up a system of equations, we find that the two mystery numbers are both 2. This conclusion is reached by first eliminating the variable representing the second number and then solving for the first number, which turns out to be 2. Subsequently, the value of the second number is also determined to be 2.

We can solve for the two mystery numbers by setting up a system of linear equations based on the information given:

9 times the first number plus 4 times the second number equals 26.

3 times the first number plus 4 times the second number equals 14.

Let's designate the first number as x and the second number as y. Then, we can express the problem using equations:

9x + 4y = 26 (1)

3x + 4y = 14 (2)

Next, we'll solve this system of equations. We can start by subtracting equation (2) from equation (1), which will remove y from the equations, as the coefficients before y are the same:

(9x + 4y) - (3x + 4y) = 26 - 14

6x = 12

After simplifying the equation, we find that:

x = 12 / 6

x = 2

Now that we have the value for x, we can substitute it back into either (1) or (2) to find y:

9(2) + 4y = 26

18 + 4y = 26

4y = 26 - 18

4y = 8

y = 8 / 4

y = 2

Therefore, the first number is 2 and the second number is also 2.

Answer:

[tex]\large\boxed{A=9x^2-6xy+y^2}[/tex]

Step-by-step explanation:

The formula of an area of a square:

[tex]A=s^2[/tex]

s - side length

We have s = 3x - y. substitute:

[tex]A=(3x-y)^2[/tex]           use (a - b)² = a² - 2ab + b²

[tex]A=(3x)^2-(2)(3x)(y)+y^2=9x^2-6xy+y^2[/tex]

Answer:

Option B is correct, (no spaces or overlaps exist between it's pieces).- APEX

Step-by-step explanation:

I hope this helps.

Answer: No spaces or overlaps exist between its pieces.

Answer:

1,2,20

take away 14 from 8 = 6

add 6 to 14 = 20

Hope I helped!

NOTE: MARK BRAINLIEST!!!! plz....

Answer:

8,4  

14,7

6,3

Step-by-step explanation:

Answer:

[tex]x^{2}+(y+2)^{2}=9[/tex]

Step-by-step explanation:

The center of the circle is (0, -2). The dark-filled circle is the center and lies 2 units below the origin on the y-axis.

On the other hand, the radius of the circle is 3 units. If we count from the dark-filled circle, we have 3 complete squares to the left, to the right.

Now the standard equation of a circle with center (a, b) and radius r units is given by the formula;

[tex](x-a)^{2}+(y-b)^{2}=r^{2}[/tex]

Substituting the values obtained;

[tex]x^{2}+(y+2)^{2}=9[/tex]

and is our standard equation of the given circle

Answer:

do you have any more information to solve this ?????????

Step-by-step explanation:

what is the actual equation it goes with??

Answer:

It will reach 0 degrees celcius at 5:20AM i believ

Step-by-step explanation:

If you divide 8 by 1.5 you bet 5 and 1/3

5 1/3 turns to 5:20 AM

Do you have a specific question or something like that which you need answering?

Answer:

$5,000

Step-by-step explanation:

Create a proportion:

11/100 = 550/x

100(550)/11

5,000= x

You have to form a proportion: [tex]\frac{part}{whole}[/tex]

Meals are only 11% for the vacation budget. This means that meals would go over 100% like this:

[tex]\frac{11}{100}[/tex]

You also know that you have $550 for meal (your part) but you want to know what your total vacation budget is(your whole)[tex]\frac{x}{550}[/tex] (x), so you would set it up like this

Now you sent them equal to solve for x:

[tex]\frac{11}{100} = [tex]\frac{550}{x}[/tex]

cross multiply:

11x = 55,000

x = 5,000

This means that your total vacation budget is $5,000

Hope this helped!

Answer:

[tex]\large\boxed{B.\ x=\dfrac{5+\sqrt{21}}{2},\ C.\ x=\dfrac{5-\sqrt{21}}{2}}[/tex]

Step-by-step explanation:

[tex]\text{Use the quadratic formula:}\\\\ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\================================\\\\\text{We have}:\\\\x^2+1=5x\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\x^2-5x+1=0\\\\a=1,\ b=-5,\ c=1\\\\b^2-4ac=(-5)^2-4(1)(1)=25-4=21\\\\x=\dfrac{-(-5)\pm\sqrt{21}}{2(1)}=\dfrac{5\pm\sqrt{21}}{2}[/tex]

Answer:

b and c Apex answers

Answer:

19 m

Step-by-step explanation:

This is Geometric progression with

[tex]\left \{ {{u_1=1,\: u_2 =2} \atop {u_n=2^{n-1}u_1} \right.[/tex]

Then the fomular of sum is

[tex]S=u_1\frac{2^n-1}{2-1} =1\times(2^n-1)=2^n-1\\To\: save\: 1 \:million\: then \; our \:sum \: will \: be\: 1000000\\Hence,\\2^n-1=1000000\\2^n=1000001\\n=log_{2}{1000001}\approx19,9\\Thus, it\:would \;be \:19 \:months \:before\: we\: saved \:1000000 \:pounds[/tex]

We have

[tex]a^b\cdot a^c=a^{b+c}[/tex]

[tex]a^b\div a^c=a^{b-c}[/tex]

So, in your case, we have

[tex]4^{-\frac{11}{3}}\div 4^{-\frac{2}{3}} = 4^{-\frac{11}{3}+\frac{2}{3}} = 4^{-\frac{9}{3}}=4^{-3} = \dfrac{1}{4^3} = \dfrac{1}{64}[/tex]

Answer:

Option D. 1/64

Step-by-step explanation:

We have to simplify the following expression

[tex]4^{-\frac{11}{3} }[/tex] ÷ [tex]4^{-\frac{2}{3} }[/tex]

= [tex]\frac{4^{-\frac{11}{3} } }{4^{-\frac{2}{3} } }[/tex]

= [tex][4^{-\frac{11}{3}}[/tex] × [tex]4^{\frac{2}{3}}][/tex] [since [tex]\frac{1}{A-1}[/tex]=a]

= [tex]4^{(-\frac{11}{3}+\frac{2}{3})}[/tex] [since [tex]a^{b}[/tex] × [tex]a^{c}[/tex] = [tex]a^{(b+c)}[/tex]]

= [tex]4^{-\frac{9}{3}}[/tex]

= [tex]4^{-3}[/tex]

= [tex]\frac{1}{4^{3} }[/tex]  [[tex]a^{-1}=\frac{1}{a}[/tex]]

= [tex]\frac{1}{64}[/tex]

Option D. 1/64 is the answer.

Answer:

8  15/16 inches

Step-by-step explanation:

Multiply 3  1/4 inches by 2  3/4:

13      11

---- * ----- = 146/16 inches, or 8.9375 inches, or 8  15/16 inches.

 4       4

Answer:  The required enlarged height of the photo is [tex]8\dfrac{15}{16}~\textup{inches}.[/tex]

Step-by-step explanation:  Given that a customer wants you to enlarge a photo to [tex]2\dfrac{3}{4}[/tex] its current height and the photo’s current height is [tex]3\dfrac{1}{4}[/tex] inches.

We are to find the enlarged height of the photo in inches.

The enlarged height of the photo is given by

[tex]2\dfrac{3}{4}\times \textup{current height of the photo}\\\\\\=\dfrac{11}{4}\times3\dfrac{1}{4}\\\\\\=\dfrac{11}{4}\times\dfrac{13}{4}\\\\\\=\dfrac{143}{16}\\\\=8\dfrac{15}{16}.[/tex]

Thus, the required enlarged height of the photo is [tex]8\dfrac{15}{16}~\textup{inches}.[/tex]

Answer:

total resistance is 54.54 ohms

Step-by-step explanation:

In parallel circuits, current can take various paths so the resistance are not added simply like that in series circuit, instead the reciprocal of total resistance in parallel circuit is calculated by adding the reciprocals of all the resistors connected parallel in circuit.

Given:

Resistor r1= 100

resistor r2 = 200

resistor r3= 300

The three resistors are connected in parallel  so the total resistance will be calculated by:

1/R= 1/r1 +1/r2 +1/r3

Putting the values of r1, r2, r3 in above we get

1/R= 1/100 + 1/200 +1/300

  = 0.01 + 0.005 + 0.0033

  = 0.0183

Taking reciprocal of both sides:

R=54.54

Hence total resistance is 54.54 ohms!

Final answer:

The total resistance of three resistors rated at 100 Ω, 200 Ω, and 300 Ω connected in parallel is approximately 54.64 Ω. This is calculated using the reciprocal formula for parallel resistances.

Explanation:

When you have a circuit with resistors connected in parallel, the total (or equivalent) resistance of the circuit is found by using the reciprocal formula:

Rtotal = 1/(1/R1 + 1/R2 + 1/R3)

For the given resistors of 100 Ω, 200 Ω, and 300 Ω in parallel, you calculate the total resistance like this:

Rtotal = 1/(1/100 Ω + 1/200 Ω + 1/300 Ω)
= 1/(0.01 Ω-1 + 0.005 Ω-1 + 0.0033 Ω-1)
= 1/(0.0183 Ω-1)
= 54.64 Ω

The total resistance of the circuit would therefore be approximately 54.64 Ω.

Answer:

86 4/7, C.

Step-by-step explanation:

14x6= 84

       +

6 x 3/7 = 2 4/7

86 4/7

Answer:

multiply 14 over 7 to get the number as one fraction. after adding three to that product, you get 101/7. Multiply that by 6/1 to get 606/7, then divide 606 by 7 to get 86 4/7 hours every 6 months.

Step-by-step explanation:

ANSWER

[tex]f(n) = 1 \times ( {3}^{n - 1} )[/tex]

EXPLANATION

The given sequence is 1, 3, 9, 27...

The first term of this sequence is

[tex]a = 1[/tex]

The common ratio is

[tex]r = \frac{3}{1} = \frac{9}{3} = \frac{27}{9} = 3[/tex]

The explicit formula for this geometric sequence is

[tex]f(n) = a ( {r}^{n - 1} )[/tex]

We substitute the first term and the common ratio to obtain,

[tex]f(n) = 1 ( {3}^{n - 1} )[/tex]

Answer:

khaled is correct. f(n)=1x3^n-1

Step-by-step explanation:

Answer:

[tex]\boxed{\bold{x=-84}}[/tex]

Explanation:

Multiply Both Sides By 8:

= [tex]\bold{8\cdot \frac{3}{8}\left(2x-\frac{8}{3}x\right)=21\cdot \:8}[/tex]

Simplify:

= [tex]\bold{-2x=168}[/tex]

Divide Both Sides By -2:

= [tex]\bold{\frac{-2x}{-2}=\frac{168}{-2}}[/tex]

Simplify:

= [tex]\bold{x=-84}[/tex]

//Mordancy //.

X= -84 this would be your answer also use photomath :)

Answer:

Chicago's temperature < Phoenix's temperature

Step-by-step explanation:

Because -1°F is less than 40°F.

Answer:

3y+4x=5

Step-by-step explanation:

step 1

Find the slope

we have

(–7, 11) and (8, –9)

m=(-9-11)/(8+7)

m=-20/15

m=-4/3

step 2

Find the equation of the line into point slope form

we have

m=-4/3

point (-7,11)

substitute

y-11=-(4/3)(x+7) ----> equation of the line into point slope form

Multiply by 3 both sides

3y-33=-4(x+7)

3y-33=-4x-28

3y+4x=33-28

3y+4x=5 -----> equation of the line into standard form

Answer:

The first and 4th option

Step-by-step explanation:

Just took it on edge

Answer:

Let x be the number of questions he gets right. Let y be the number of questions he gets wrong.

Then:

x + y = 25

4x - 1y = 65

Adding these two equations gives:

5x = 90

y = 25 - 18 = 7 wrong answers

* Hopefully this helps:) Mark me the brainliest:)!!!

~ 234483279c20~

The number of right questions is 18

Let the number of right questions be x, and the wrong questions be y

So, we have the following equations

x + y = 25

4x - y = 65

Add both equations

5x =90

Divide both sides by 5

x = 18

Hence, the number of right questions is 18

Read more about system of linear equations at:

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Yeah that's right always be a hardworking person

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The question is on probability

We have three students, Anna, Jo and Mai

We have 1 seat at the front

P(S)=3

P(A)=1/3

P(J)=1/3

P(M)=1/3

Answer:

6mph and 4mph

Step-by-step explanation:

because 2:3 is some as 3x:x in terms of speed

Answer: The speed of her walking is 4 mph and the speed of her jogging is 6 mph.

Step-by-step explanation:

Since we have given that

Time taken by Lorena to walk the path = 30 minutes

Time taken by Loren to jogs the path = 20 minutes

Let the speed of her walking be 'x'.

Let the speed of her jogging be 'x+2'.

Since distance would remain same, so it becomes,

[tex]30x=20(x+2)\\\\30x=20x+40\\\\30x-20x=40\\\\10x=40\\\\x=\dfrac{40}{10}\\\\x=4\ mph[/tex]

Hence, the speed of her walking is 4 mph and the speed of her jogging is 6 mph.

Answer:

a.

                         R-------8/38--------RR

R------9/39--------B-------13/38-------RB

                          G------17/38--------RG

                          R-------9/38--------BR

B--------13/39------B-------12/38-------BB

                           G-------17/38-------BG

                             R-----9/38--------GR

G---------17/39-------B------13/38-------GB

                              G------16/38-------GG

b).

RB=9/39 × 13/38=3/38

BR= 13/39 × 9/38 =3/38

BG= 13/39 × 17/38=17/114

GB= 17/39 × 13/38=17/114

=3/38 +3/38+17/114+ 17/114 =26/57