If Dave drove one-third of the distance of his trip on the first day, and 60 miles on the second day, he figured out that he still had 1/2 of the trip to drive. What was the total length, in miles, of his trip?
360

180

120

60

90

Answer:

-1/3

Step-by-step explanation:

-4 - -5 = 1

3 - 6 = -3

1/-3 = -1/3

Answer: -1/3

Step-by-step explanation: slope is the difference in the y values over the difference of the x values

Answer:

C. 90

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Answer:

9x+18

Step-by-step explanation:

Answer:120°

Step-by-step explanation:

Given

cake is cut into 12 equal pieces

We know the top view of cake is similar to circle .

So, if a circle is divided into 12 equal parts then

each part subtend an angle of

∅ = 360/12 = 30%

If 8 slices were eaten , then 4 slices are remaining

These 4 slices measure subtend equal angle at the center therefore

4 slice measure a total of 4 × ∅

➡️ 4 x 30°

➡️ 120°

Answer:

Step-by-step explanation:

4×1½×2 = 4×3 = 12

Answer:

£135

Step-by-step explanation:

£90 + £45

2:1

hope its correct and helped:)))))))))

Answer:

135

Step-by-step explanation:

Answer:

(25/5)/(35/5)

=> 5/7

(10/2)/(14/2)

=> 5/7

Hence both of the numbers simplify to 5/7

Hope it helps

Answer:

1.2 Cm.

Step-by-step explanation:

If you multiply these three fractions you get 1.2 Cm. Or in fraction from 6/5

Hope this helped. Please correct me if I am wrong

Answer:

[tex]-20\frac{3}{4}[/tex] < [tex]-15\frac{1}{2}[/tex] < [tex]-14\frac{3}{4}[/tex] < [tex]-\frac{1}{4}[/tex]

Step-by-step explanation:

Just so you know, the larger a negative number is, the smaller the number's value is.

Given:

A figure of a right triangle.

To find:

The value of x.

Solution:

According to the geometric mean attitude theorem, if an altitude is drawn from the right angle vertex to the hypotenuse, then the altitude is the geometric mean of segments of hypotenuse.

Using geometric mean attitude theorem, we get

[tex]\dfrac{3}{x}=\dfrac{x}{5}[/tex]

[tex]3\times 5=x\times x[/tex]

[tex]15=x^2[/tex]

[tex]\pm \sqrt{15}=x[/tex]

But side cannot be negative. So,

[tex]\sqrt{15}=x[/tex]

Therefore, the value of x is [tex]\sqrt{15}[/tex].

Answer:

$12 on Monday

$16 on Tuesday

$28 in total

Step-by-step explanation:

Multiply the number of pounds by the cost per pound on Monday:

3 * 4 = $12 on Monday

If you want to find the price on Tuesday as well (I know it doesn't ask for it) you can calculate 20% of 4 by multiplying:

4 * 0.2 = 0.80

Next, subtract the 20% from the normal price:

4 = 0.80 = 3.20

Finally, multiply the discounted price by the number of pounds she bought:

3.20 * 5 =  $16 on Tuesday

You can find the total of both Monday and Tuesday by adding the two together:

12 + 16 = $28.00 in total

Answer:

g(x)=f(x)

f(x)=y

y+3=0

y=-3

the range of g(x) is y=-3

The range of g(x) is y=-3. The range of function is found  by equating the given function with the f(x);

A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.

The range of function is found  by equating the given function with the f(x);

[tex]\rm g(x)=f(x)[/tex]

The given function is represented as;

[tex]\rm y=f(x)\\\\y+3=0\\\\y=-3[/tex]

The range of g(x) is y=-3

Learn more about the function, refer;

https://brainly.com/question/5245372

#SPJ2

Step-by-step explanation:

22

A thermally insulated vessel contains

150 g of water at 0°C. Then the air from the

vessel is pumped out adiabatically. A

fraction of water turns into ice and the rest

evaporates at 0°C itself. The mass of

evaporated water will be closest to:

(Latent heat of vaporization of

water = 2.10 x 106 Jkg - and Latent heat of

Fusion of water = 3.36 x 105J kg-1)

Answer:

80 : n < 32

Step-by-step explanation:

100-20=80

Answer:

16

Step-by-step explanation:

One basket takes (1/4)th of the shelf.

So, in one shell, Cindy can place 4 baskets

Total number of baskets = 4 *4 = 16

Answer:

mean = 9

mode = 15

median = 8

Step-by-step explanation:

Answer:

[tex]Estimate = 5.0kg[/tex]

Step-by-step explanation:

Given

[tex]Weight = 1.656kg[/tex]

Required

Determine the estimated for 3 containers

Since the weight of all containers are the same, we simply multiply the given weight by the number of containers.

i.e.

[tex]Estimate = Number\ of\ containers * Weight\ of\ each[/tex]

[tex]Estimate = 3 * 1.656kg[/tex]

[tex]Estimate = 4.968kg[/tex]

[tex]Estimate = 5.0kg[/tex] --- approximated

So, the estimated weight is 5.0kg

The increase will be the original price x the increase rate.

15649 x 0.035 = $547.72

The new price would be original price + increase

15649 + 547.72 = $16,196.72

Answer:

20

Step-by-step explanation:

Answer:

L.c.m of 3 and 6 is 6

Answer:

Lcm of 3&6 is:

3*2 & 6*1 (DONE LIKE THIS BECAUSE THAT LCM OF 3 & 6 IS FOUND TO BE 6 AS BOTH 3 & 6 HAS THE SMALLEST COMMON MULTIPLE AS 6)

6  & 6

There fore LCM is 6

Algebraic expression for the given phrase is

[tex]-4+(3-1)[/tex]

Simplified answer is -2

Given :

The given phrase is  the sum of -4 and the difference of 3 and 1

To find the difference we subtract the numbers

difference of 3 and 1 is 3-1

for the sum we add it

the sum of -4 and the difference of 3 and 1

the sum of -4 and  (3-1)

Now we add it , [tex]-4+(3-1)[/tex]

Algebraic expression for the given phrase is

[tex]-4+(3-1)[/tex]

Now we simplify it

[tex]-4+(3-1)\\-4+(2)\\-2[/tex]

Learn more : brainly.com/question/24513204

Answer:

Amanda buy first kind of pen = 3

Amanda buy second kind of pen = 2

Amanda buy third kind of pen = 15

Step-by-step explanation:

Given - Amanda went to the store to purchase ink pens. She found three    

            kinds of pens. The first cost $4 each; the price of the second kind

            was 4 for $1; and the cost for the third kind was 2 for $1. She bought

            20 pens and she bought at least one of each kind. (It is possible to

            buy only 1 of the pens that are "4 for $1" or "2 for $1".) The cost was

            $20.

To find - When she got back to her office, Amanda decided to turn this into

              a math problem for me. She asked: how many of each kind did I

              buy?

Proof -

Let Amanda buy first kind of pen = x

                      second kind of pen = y

                           third kind of pen = z

As given,

She bought total pen = 20

⇒x + y + z = 20          ...............(1)

Now,

As given,

cost for first kind pen = $4 for 1 pen

As she bought x pens of first kind , so

Cost of x pens of first kind = $4x

Now,

The price of the second kind was 4 for $1

⇒Cost of second kind = $[tex]\frac{1}{4}[/tex] for 1 pen

As she bought y pens of send kind , so

Cost of y pens of second kind = $[tex]\frac{1}{4}y[/tex]

Now,

The price of the third kind was 2 for $1

⇒Cost of third kind = $[tex]\frac{1}{2}[/tex] for 1 pen

As she bought z pens of send kind , so

Cost of z pens of third kind = $[tex]\frac{1}{2}z[/tex]

Now,

As given, The cost was $20

⇒4x + [tex]\frac{1}{4}y[/tex] + [tex]\frac{1}{2}z[/tex] = 20

⇒16x + y + 2z = 80             .....................(2)

∴ we get 2 equations

x + y + z = 20                   .....................(1)

16x + y + 2z = 80             .....................(2)

Now,

Subtract equation (1) from equation (2) , we get

16x + y + 2z  - ( x+ y + z )= 80 - 20

⇒16x + y + 2z - x - y - z = 60

⇒15x + z = 60

⇒z = 60 - 15x

Now,

Put the value of z in equation (1) , we get

x + y + 60 - 15 x = 20

⇒ y - 14x = 20 - 60

⇒y - 14x = -40

⇒14x - y = 40

⇒y = 14x - 40

Now,

we get

z = 60 - 15x

y = 14x - 40

As given

she bought at least one of each kind

it means x > 1, y > 1, z > 1

Now,

If x = 1, then y = 14 - 40 = -26

Not possible

If x = 2 , then y = 14(2) - 40 = -12

Not possible

If x = 3, then y = 14(3) - 40 = 2 and z = 60 - 15(3) = 15

Possible.

If x = 4,  then y = 14(4) - 40 = 16 and z = 60 - 15(4) = 0

Not Possible.

If x = 5, then y = 14(5) - 40 = 30 and z = 60 - 15(5) = -15

Not Possible.

∴ we get

x = 3, y = 2, z = 15

Amanda buy first kind of pen = x = 3

Amanda buy second kind of pen = y = 2

Amanda buy third kind of pen = z = 15

Answer:

B.…….................

Answer:

Step-by-step explanation:

Im not all the way sure, but I think it would be 1.8.

11+2 = 13

24/ 13 = 1.84...

rounded, 1.8

Answer:

The answer is 2.

Step-by-step explanation:

11 × 2 = 22

22 + 2 = 24

Therefore, 2 is the answer.

Answer:

The slope is 300

Step-by-step explanation:

Rise over run we see two points how many times do we rise and run to get there?

(Slope= rise/run)

So you rise 300 times (Since half of 600 is 300) then you run 1 time which is 300/1 which is 300