Which number line best shows how to solve −8 − (−2)? A number line from negative 10 to 10 is shown, with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 8. Another arrow points from negative 8 to negative 2. A number line from negative 10 to 10 is shown, with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 8. Another arrow points from negative 8 to 2. A number line from negative 10 to 10 is shown, with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 8. Another arrow points from negative 8 to negative 6. A number line from negative 10 to 10 is shown, with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 8. Another arrow points from negative 8 to 6.

Answer:

16. 1 miles

Step-by-step explanation:

Using Pythagorean Theorem,

a^2 + b^2 = c^2

Since the road that goes from his home to work directly is c^2...

Plug in the rest of the numbers

16^2 + 2^2 = c^2

256 + 4 = c^2

260 = c^2

The reverse square of 260 is

16. 1 miles

Answer:

31° change

Step-by-step explanation:

If we want to find the change between two numbers, we need to imagine it like a number line.

<-------------0------------->

Let's plot -7 and 24 on this number line.

<----------[tex]-7[/tex]--0------------24>

If we want to get from -7 to 0, we increase by 7. To get from 0 to 24, we increase by 24.

So the total change is [tex]7 + 24 = 31[/tex].

Hope this helped!

Answer:

305

Step-by-step explanation:

This sequence es the sum of 3

5+3 =8

8+3 = 11

then

101 = 100 + 1

the fisrt date is 5

the another 100:

100*3 = 300

300 + 5 = 305

Answer:

About 89%

Step-by-step explanation:

8000 + 1000 = 9000.

To find the girls money as a percentage of the total sum of money, you must take 8000 and divide it by 9000.

8000/9000 = .8888 = 88.88 = 88.9% or about 89%.

Answer:

Step-by-step explanation:

The expression 4 raised to 4 can be written in mathematical term as [tex]4^4[/tex] and this means the value of 4 in four places as shown;

[tex]4^4\\\\= 4 * 4* 4* 4\\\\= (4 * 4)* (4* 4)\\\\= 16*16\\\\= 256\\\\[/tex]

Hence the expression 4 raised to 4 is equivalent to 256

Answer: -10 points

Step-by-step explanation:

She lost 110,so that loss -the gain(100) is the total score at the end of three games

Answer:

6450g

Step-by-step explanation:

1kg = 1000g

6.45kg = 6450

The watermelon weighs 6450 grams.

Given that a watermelon weighs 6.45 kilograms.

We need to convert its unit into grams.

To convert kilograms to grams, you need to multiply the weight in kilograms by 1000, as there are 1000 grams in 1 kilogram.

The watermelon weighs 6.45 kilograms, you can use the following formula to convert it to grams:

Weight in grams = Weight in kilograms × 1000

Let's do the math:

Weight in grams = 6.45 kilograms × 1000 = 6450 grams

So, the watermelon weighs 6450 grams.

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Answer:

3x(x+8)=0

x=0,-8

This is how to solve for x.

B) isosceles

If the median to the base is perpendicular to the base =>

= > isosceles triangle

Answer:

5 hours

Step-by-step explanation:

From the question, we are told that:

Time required to drive a fixed distance varies inversely as the Speed

T ∝ 1/S

k = proportionality constant hence,

T =k × 1/S

T = k/S

Step 1

Find k

It takes 2 hr at a speed of 200 km/h to drive a fixed distance

T = 2 hours, S = 200km/h

T = k/S

2 = k / 200

k = 2 × 200

k = 400

Step 2

How long will it take to drive the same distance at a speed of 80 km/h?

S = 80km/h

T = k/S

k = 400

T = 400/80

T = 5

Therefore, it takes 5 hours to drive the same distance at a speed of 80km/hr

Answer:

6. No. See explanation below.

7. 18 months

8. 16

Step-by-step explanation:

6. To rewrite a sum of two numbers using the distributive property, the two numbers must have a common factor greater than 1.

Let's find the GCF of 85 and 99:

85 = 5 * 17

99 = 3^2 + 11

5, 3, 11, and 17 are prime numbers. 85 and 99 have no prime factors in common. The GCF of 85 and 99 is 1, so the distributive property cannot be used on the sum 85 + 99.

Answer: No because the GCF of 85 and 99 is 1.

7.

We can solve this problem with the lest common multiple. We need to find a number of a month that is a multiple of both 6 and 9.

6 = 2 * 3

9 = 3^2

LCM = 2 * 3^2 = 2 * 9 = 18

Answer: 18 months

We can also answer this problem with a chart. We write the month number and whether they are home or on a trip. Then we look for the first month in which both are on a trip.

Month                Charlie          Dasha

1                          home             home

2                          home             home

3                          home             home

4                          home             home

5                          home             home

6                         trip                home

7                          home             home

8                          home             home

9                          home             trip

10                         home             home

11                         home             home

12                         trip               home

13                         home             home

14                         home             home

15                         home             home

16                         home             home

17                         home             home

18                         trip                 trip

Answer: 18 months

8.

First, we find the prime factorizations of 96 an 80.

96 = 2^5 * 3

80 = 2^4 *5

GCF = 2^4 = 16

Answer: 16

Answer:

The answer is below

Step-by-step explanation:

From the diagram of the flask attached, the diameter of the cylinder is 1 inch and its height (h) is 3 inches. The radius of the cylinder (r) = diameter / 2 = 1/2 = 0.5 inch

The volume of the cylinder = πr²h = π(0.5)² × 3 = 2.36 in³

While for the sphere the diameter is 4.5 in. The radius of the sphere R = diameter / 2 = 4.5/2 = 2.25

The volume of the sphere = 4/3 (πR³) = 4/3 × π × 2.25³ = 47.71 in³

Volume of the flask = The volume of the cylinder  + The volume of the sphere = 2.36 + 47.71 = 50.07 in³

If the sphere and the cylinder are dilated by a scale factor of 2. For the cylinder its height (h') = 3/2 = 1.5 inch and its radius (r') = 0.5/2 = 0.025

The new volume of the cylinder = πr'²h' = π(0.25)² × 1.5 = 0.29 in³

While for the sphere The radius of the sphere R' = 2.25 / 2 = 1.125

The new volume of the sphere = 4/3 (πR'³) = 4/3 × π × 1.125³ = 5.96 in³

New Volume of the flask = The new volume of the cylinder  + The new volume of the sphere = 0.29 + 5.96 = 6.25 in³

The ratio of the new volume to original volume = New Volume of the flask / Volume of the flask = 6.25 / 50.07 = 1/8 = 0.125

The resulting volume would be 0.125 times the original volume

Answer:

50.07 and 8 times

Step-by-step explanation:

1) Calculate volume of each figure using according formulas.

You should get:

Sphere: 47.71in^3

Cylinder: 2.36in^3

Now let's add, and you should get 50.07.

2) Let's dilate the dimensions/flask by 2 (multiply by 2)

4.5 * 2 = 9

1 * 2 = 2

3 * 2 = 6

Now with these dimensions you should get:

Sphere: 381.7in^3

Cylinder: 18.85in^3

This should add up to 400.55in^3

Divide new by original. 400.55 / 50.07 = 8

So it is 8 times larger.  

Answer:

y=3/4x-2

Step-by-step explanation:

two points from graph (0-2) and (8,4)

find slope m: y2-y1/x2-x1

m=4+2/8-0

m=6/8=3/4

x=0 then y=b=-2

y=3/4x-2

Answer: False, this is not the graph of f(x) = 3^x

=====================================================

Explanation:

Plug in x = 0 to get

f(x) = 3^x

f(0) = 3^0

f(0) = 1

That means (0,1) is on the graph. So far so good.

-------

But let's try x = 1

f(x) = 3^x

f(1) = 3^1

f(1) = 3

Meaning (1,3) should be on the graph of y = 3^x. Instead, the graph shows (1,4) is on the red curve. We don't have a match.

The red curve shows the equation y = 4^x.

Answer:

9:50

Step-by-step explanation:

Given the following information :

First meeting = 4:30

Second meeting = 5:20

Third meeting = 6:30

Fourth meeting = 8:00

Frim careful observation of the meeting times :

Difference between the ;

Second and first meeting:

5:20 - 4:30 = 50 minutes

After that 20 minutes is added to the subsequent meetings as observed from the third and fourth meetings

6:30 - 5:20 = 70 minutes

8:00 - 6:30 = 90 minutes

Therefore, next meeting time :

(90 + 20) minutes = 110 minutes

8:00 + 110 minutes = 9:50

Answer:

[tex]1035[/tex]

Step-by-step explanation:

(63756×60)/(70×5280)

=1035

Answer:

Step-by-step explanation:

Given the expression -2y-8+4y, we are to find the equivalent expressed is which other expression is similar to it. This can be expressed as shown below;

Step 1: Collect the like terms of the expression

= -2y-8+4y

= (-2y+4y)-8

Step 2: Sum up the terms in parenthesis:

=  (-2y+4y)-8

= 2y-8

Step 3: factor out the common terms

= 2y-8

= 2(y-4)

Hence the equivalent expression is 2(y-4).

Answer:

A and B

Step-by-step explanation:

On Khan Academy its right.

Answer:

Question (i):

Reduce = 15% of Rs 40 = 0.15 x 40 = Rs 6

Price after reduced = Rs 40 - Rs 6 = Rs 36

Answer: Rs 36

-

Question (ii):

Reduce = 15% x 20.40 = 0.15 x 20.40 = Rs 3.60

Price after reduced = Rs 20.40 - Rs 3.60 = Rs 17.34

Answer: Rs 17.34

-

The properties 1‚ 2‚ 4‚ and 5. are used

The properties used to simplify problem are 1 , 2 and 4.

A problem which is simplified is given ; (38 +677) + (-38).

What are the correct options ?

How will you represent the associative properties of addition ?

Associative properties are represented by ;  (A + B ) + C = A + ( B + C ).

As per the data given in question ;

Let's check which options are suitable.

( 38 + 677 ) + ( -38 ) = 38 + ( 677 - 38 )

(A + B ) + C = A + ( B + C )

So , this is the associative property.

677 + 0 = 677

A + 0 = A

So , this is the additive identity.

677 + [38 + (-38)]

Here ; 38 + ( -38 ) represents ;

A + (-A) = 0.

So , this is the additive inverse.

Thus ,  the properties used to simplify problem are 1 , 2 and 4.

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Answer:

x = -6

Step-by-step explanation:

Hello!

2x - 15 = 3(2x + 3)

Distribute the 3

3 * 2x = 6x

3 * 3 = 9

2x - 15 = 6x + 9

Subtract 2x from both sides

-15 = 4x + 9

Subtract 9 from both sides

-24 = 4x

Divide both sides by 4

-6 = x

Hope this helps!

Answer:

t ≈ 5.1 days

Step-by-step explanation:

A 10 gram sample of a substance thats used to detect explosives has a k-value of 0.1356. Find the substances half-life in days. round your answer to the nearest tenth. N=N₀ e^-kt N₀= initial mass (at time t = 0) N = mass at time t k= a positive constant that depends on the substance itself and on the units used to measure time t=time in days

The initial condition is that, at time t = 0, the amount of substance contains originally 10 grams

Find the value of N₀

N=N₀ e^-kt

We substitute:

10 = N₀ {e^(-0.1356)*0}

10 = N₀ (e^0)

10=N₀(1)

10=N₀

N₀ = 10

When the substance is in half-life

That is, half of the original substance (5 grams)

Find t

N=N₀ e^-kt

5 = 10 e^(-0.1356*t)

0.5 = e^(-0.1356*t)

Bring down t by multiplying natural log on both sides

ln(0.5) = -0.1356*t

Divide both sides by -0.1356

t = -(ln(0.5) / 0.1356

t ≈ 5.11 days

To the nearest tenth

t ≈ 5.1 days

Answer:

5.1 days in Plato

Step-by-step explanation:

Answer:

32 ft tall

Step-by-step explanation:

Since a 6 ft man casts a shadow 9 ft long, the shadow is 3/2 of the actual object/person.

SINCE THE TREE'S SHADOW IS AT THE SAME TIME, THE HEIGHT IS THE SAME RULE.

We know the tree's shadow is 48 ft.

--> 48/3 = 16

16 x 2 = 32

32 ft tall

Hope this helps!

Answer: 32ft tall

Step-by-step explanation:

Answer:

-3.5

Step-by-step explanation:

The problem you have stated is (y-z)/z where y=-2 and z = 4/5. To solve, substitute the values of y and z into the problem. Then, you have (-2-4/5)/4/5. (-2-4/5) simplifies to -14/5 so then you have (-14/5)/4/5. To divide, multiply -14/5 by 5/4 {multiplying by the reciprocal}. That equals -70/20 which is equal to -3.5

Answer:

[tex]\large\boxed{-3.5}[/tex]

Step-by-step explanation:

(y - z) ÷ z          y = -2 and z = 4/5

Substitute in the given values for y and z into the equation

(y - z) ÷ z  

(-2 - 4/5) ÷ 4/5

Subtract inside the parenthesis (-2 - 4/5)

-2.8 ÷ 4/5

Convert 4/5 into a decimal (in this case that can be done by multiplying both the numerator and denominator by 20)

4/5 = (4 * 20) / (5 * 20) = 80 / 100

80 / 100

Divide numerator and denominator by 10

8/10 = 0.8

Substitute into previous equation

-2.8 ÷ 4/5 = -2.8 ÷ 0.8

Divide

[tex]\large\boxed{-3.5}[/tex]

Hope this helps :)

Answer:

A.  [tex]Claire = 20250[/tex]

B.   [tex]Richard = 9350[/tex]

C.    Height = 3.2 feet

D. Charges = $760

Step-by-step explanation:

Given

[tex]Claire = 50x^2 + 250[/tex]

[tex]Richard = 40x^2 + 350[/tex]

Solving (a): Claire's 20ft charges

In this case, x = 20

Substitute 20 for x in [tex]Claire = 50x^2 + 250[/tex]

[tex]Claire = 50(20)^2 + 250[/tex]

[tex]Claire = 50(400) + 250[/tex]

[tex]Claire = 20000 + 250[/tex]

[tex]Claire = 20250[/tex]

Solving (b): Richard's 15ft charges

In this case, x = 15

Substitute 20 for x in [tex]Richard = 40x^2 + 350[/tex]

[tex]Richard = 40(15)^2 + 350[/tex]

[tex]Richard = 40(225) + 350[/tex]

[tex]Richard = 9000 + 350[/tex]

[tex]Richard = 9350[/tex]

Solving (c): Height which they both charge the same;

This implies that

[tex]50x^2 + 250 = 40x^2 + 350[/tex]

Solving for x [Collect Like Terms\

[tex]50x^2 - 40x^2 = 350 - 250[/tex]

[tex]10x^2 = 100[/tex]

Divide both sides by 10

[tex]x^2 = 10[/tex]

Take square roots of both sides

[tex]x = \sqrt{10}[/tex]

[tex]x = 3.2ft[/tex]  (Approximated)

Hence; Height = 3.2 feet

Solving (d): How much they charge when the charge the same amount.

Substitute 3.2 for x in any of the given equation

[tex]Claire = 50x^2 + 250[/tex]

[tex]Claire = 50(3.2)^2 + 250[/tex]

[tex]Claire = 50*10.24 + 250[/tex]

[tex]Claire = 512 + 250[/tex]

[tex]Claire = 762[/tex]

[tex]Richard = 40x^2 + 350[/tex]

[tex]Richard = 40(3.2)^2 + 350[/tex]

[tex]Richard = 40 * 10.24 + 350[/tex]

[tex]Richard = 409.6 + 350[/tex]

[tex]Richard = 759.6[/tex]

The reason for the difference is due to approximation

Hence, they both charge approximately 760

Answer:

The vertex is (3,4)

Step-by-step explanation:

f (x) = x^2 - 6 x + 13

Completing the square

-6/2 = -3 and squaring it = 9

    = x^2 -6x +9 +4

   = ( x-3) ^2 +4

The equation is now in vertex form

a( x-h) ^2 +k

where the vertex is ( h,k)

The vertex is (3,4)

Answer:

C on edge

Step-by-step explanation:

Hello! :)

Answer:

[tex]\huge\boxed{BC = 6.4 }[/tex]

Given ΔABC ~ ΔDEF, we can set up a proportion to solve for BC, where:

[tex]\frac{AC}{DF} = \frac{BC}{EF}[/tex]

Let BC = x:

[tex]\frac{8}{15} = \frac{x}{12}[/tex]

Cross multiply:

[tex]8 * 12 = 15 * x[/tex]

[tex]96 = 15x[/tex]

[tex]x = 6.4[/tex]

Therefore, BC = 6.4 units.

Hope this helped you!

Answer:

v = -54

Step-by-step explanation:

27= -v/2

Multiply each side by -2

27 *-2= -v/2 *-2

-54 = v

Answer:

-54

Step-by-step explanation:

[tex]27=\frac{-v}{2}[/tex] .... Equation to start with

[tex]27 x 2= \frac{-v}{2} x2[/tex] ..... Cancelling out the denominator and multiplying on the other side

[tex]54 = -v[/tex] .... Multipling

[tex]-54 =v[/tex] ..... Solving for v, not -v, so bring the negative over to the other side

Hope you understood:)

Answer:

122

Step-by-step explanation:

5!=5 x 4 x 3 x 2 x 1 = 120

2!=2 x 1 = 2

120+2=122

Answer:

Number of push up = 8 + 2x

Step-by-step explanation:

Keenan can do 8 push ups each day. He plans to do 2 extra day until he is doing 30 push ups. Each day he does an additional 2 push up, on the first day he does 8 + 2 = 10 push up, on the second day he does 10 + 2 = 12 push ups. This can be represented by the expression:

Number of push up = 8 + 2x

where x is the number of days.

To do 30 push ups, we can calculate the number of days needed:

30 = 8 + 2x

2x = 30 - 8

2x = 22

x = 11

Answer:

8+2x its from khan academy

Step-by-step explanation:

give person above brainliest :)