Which expression has a value of 8?
1. 720 divided by 9
2. 720 divided by 90
3. 7200 divided by 9
4. 7200 divided by 90

F. Square root of 39

Step-by-step explanation:

Value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{\sqrt{39}}[/tex] units.

Option F. is correct.

Two triangles are said to be similar if their sides are proportional and their corresponding angles are equal.

[tex]\bigtriangleup ABD \sim \bigtriangleup CAD[/tex]

[tex]\boldsymbol{\frac{AD}{CD}=\frac{BD}{AD} }[/tex]

  [tex]\frac{x}{13}=\frac{3}{x}[/tex]

  [tex]x^2=39[/tex]

   [tex]x=\sqrt{39}[/tex] units.

Value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{\sqrt{39}}[/tex] units.

Option F. is correct.

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Answer:108 degrees

Step-by-step explanation:

Answer:

Scalene triangle

Step-by-step explanation:

24+48= 72

180-72=108

All three angles are different meaning that the triangle must be a scalene triangle.

Step-by-step explanation:

Step one:

mass of Freight car=25tons

the rate of filling is 1/3 ton per minute

let the time taken to fill the freight car be x

and the total mass after x minute be y

Hence the mass as a function of time is expressed as

y=25+1/3x----------1

mas of dump truck=55tons

rate of being emptied= 1/6 tons per minute

let the time taken to empty the dump truck be x

and the total mass after x minute be y

Hence the mass as a function of time is expressed as

y=55-1/6x----------2

Step two:

equating equations 1 and 2,

1. The tucks will weigh the same in

55-1/6x=25+1/3x

collect like terms

55-25=1/3x+1/6x

30=(2+1/6)x

30=3/6x

30=1/2x

30=0.5x

x=30/0.5

x=60min

or

1 hour

The tucks will weigh the same in  60minutes(1 hour)

2. How much coal will be in each truck when they weigh the same?

For the  train freight car, the weight after 60 minutes is

y=25+1/3(60)

y=25+20

y=55tons

55-25=20tons

There will be 20tons

For the  dump truck, the weight after 60 minutes is

y=55-1/6(60)

y=55-10

y=45tons

55-45=10tons

There will be 10tons

Step-by-step explanation:

The product is carbon dioxide and water

Answer:

B ≥ 209

Step-by-step explanation:

This is the equation - 25b + 525 ≥ 5750  .      

Comment if I solved it incorrectly ;-;  

Answer:

No because it does no pass the vertical line test

Step-by-step explanation:

Answer:

good handwritting the first is 87

Step-by-step explanation:

Answer:

A. 12

Step-by-step explanation:

Answer:

y = -3x - 16

Step-by-step explanation:

Point-slope form: y - y1 = m(x - x1)

Given: y - 2 = -3(x + 6)

Slope-intercept form: y = mx + b

To write the equation in slope-intercept form, we need to know the slope(m) and the y-intercept(b). By looking at the given equation, we can see that the slope is -3. We are also given the value of one point: (-6, 2).

To find the y-intercept, input the given values of the slope and the point into the equation format and solve for b:

y = mx + b

2 = -3(-6) + b

2 = 18 + b

Subtract 18 from both sides of the equation to isolate b:

2 - 18 = 18 - 18 + b

-16 = b

The y-intercept is -16.

Now that we know the slope and the y-intercept, we can write the equation:

y = -3x - 16

Answer:

2.8%

Step-by-step explanation:

(7.4 - 7.2) / 7.2 =

0.2 / 7.2 =

2.7777777777778%

Answer:

its red okay? i hop help

Answer:3:1. Yellow

Step-by-step explanation:

Step-by-step explanation:

subtraction if that wut u askim

Answer:

you would use division to change bigger units into smaller ones as a form of cancellation

Answer:

1.75

Step-by-step explanation:

By Order of Operations, You read it left to right since Multiplication and Division are of the same importance. You would start with 15/3, which is 5.

Then your equation would be:  5*7/20.

Again, you would just read it left to right, 5*7=35

Then divide by 20, which is 1.75.

Answer: No, x+3 is not a factor of 2x^2-2x-12

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

Explanation:

Let p(x) = 2x^2 - 2x - 12

If we divide p(x) over (x-k), then the remainder is p(k). I'm using the remainder theorem. A special case of the remainder theorem is that if p(k) = 0, then x-k is a factor of p(x).

Compare x+3 = x-(-3) to x-k to find that k = -3.

Plug x = -3 into the function

p(x) = 2x^2 - 2x - 12

p(-3) = 2(-3)^2 - 2(-3) - 12

p(-3) = 12

We don't get 0 as a result so x+3 is not a factor of p(x) = 2x^2 - 2x - 12

----------------------------------------

Let's see what happens when we factor p(x)

2x^2 - 2x - 12

2(x^2 - x - 6)

2(x - 3)(x + 2)

The factors here are 2, x-3 and x+2

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[tex] \frac{1}{R} = \frac{1}{8} + \frac{1}{12} \\ [/tex]

[tex] \frac{1}{R} = \frac{1 \times 3}{8 \times 3} + \frac{1 \times 2}{12 \times 2} \\ [/tex]

[tex] \frac{1}{R} = \frac{3}{24} + \frac{2}{24} \\ [/tex]

[tex] \frac{1}{R} = \frac{3 + 2}{24} \\ [/tex]

[tex] \frac{1}{R} = \frac{5}{24} \\ [/tex]

Inverse both sides

[tex] \frac{R}{1} = \frac{24}{5} \\ [/tex]

[tex]R = \frac{24 \times 2}{5 \times 2} \\ [/tex]

[tex]R = \frac{48}{10} \\ [/tex]

[tex]R = 4.8 \: \: Ω[/tex]

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The correct answer is (( B )) .

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Answer:

x = 7

Step-by-step explanation:

Because this is a right triangle, one angle is a right angle (90°). All triangles have all three angle measures adding up to 180°, so the other two angles' measures add up to 90° (90 + 90 = 180).

Combine like terms of the angle measures.

6x + 9x = 15x

-3 + (-12) = -15

15x - 15

Because the sum of the measures of the two angles have to equal 90,

15x - 15 = 90

Add 15 from both sides.

15x = 105

Divide both sides by 15.

x = 7

To check, substitute 7 in both expressions.

6(7) - 3 = 39

9(7) - 12 = 51

39 + 51 + 90 (the measure of the right angle) = 180, so the value of x is 7.

I hope this helped :)

Answer and explanation:

A rectangle's width is longer than the length

And so given a rectangular lawn 4m by 10m,

the width of the lawn= 10m

the length of the lawn= 4m

If a garden of uniform width is added, then garden's width = 10m

The garden of uniform width is added to the width side of the rectangular lawn( since along the combined side length of the lawn and garden, another garden is added)

The garden added to the combined side length of the lawn and garden has width twice that of the garden = 2*10= 20m

Given that total area of the lawn and two gardens = 72m²

Total area of lawn and 2 gardens(Area of rectangle(lawn+2 garden's)) is length * width

= 4*10+ 10*x+ 20*y=72

Therefore equation for total area of lawn and both gardens is 40+10x+20y=72

Where x is length of second garden attached to the width side of the lawn and y is length of the garden attached to the combined length side of the lawn and first garden

x can be solved

40+10x+20y=72

10x+20y=72-40

10x+20y=32

10x=32-20y

x=32-20y/10

Y can be solved

40+10x+20y=72

10x+20y=72-40

10x+20y=32

20y=32-10x

y=32-10x/20

Answer:

y= -x+9

Step-by-step explanation:

Answer:

C A person with an annual income of at least \$50{,}000$50,000dollar sign, 50, comma, 000 is more likely to be 454545 years old or above

A person in the 44 and under age group is more likely to have an annual income of at least $50,000​ is a correct statement.

We have given that,

A sociologist polled a random sample of people and asked them their age and annual income.

annual income is the amount of money you receive during the year into your bank account, before any deductions.

The two-way frequency table below shows the results.

Annual income vs. age group Less than $50,000 At least $50,000

Total Ages 44 and under 148 68 216 Ages 45 and above 38 94 132

Total 186 162 348

A person with an annual income of at least

[tex]=\$50000\\=$50,000dollar[/tex]

Therefore statement b is true.

A person in the 44 and under age group is more likely to have an annual income of at least $50,000​.

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Answer:

France's GDP is 50 000 times larger than Tuvalu's GDP.

Step-by-step explanation:

Given: Gross Domestic Product (GDP) of France = $2.0 x [tex]10^{12}[/tex]

            Gross Domestic Product (GDP) of Tuvalu = $4.0 x [tex]10^{7}[/tex]

To determine the number of times in which the GDP of France is greater than that of Tuvalu, divide the GDP of France by the GDP of Tuvalu.

[tex]\frac{2.0*10^{12} }{4.0*10^{7} }[/tex] = [tex]\frac{2000000000000}{40000000}[/tex]

           = [tex]\frac{200000}{4}[/tex]

           = 50000

Therefore, France's GDP is 50 000 times larger than Tuvalu's GDP.

Answer:

y + (-3) = -8

Step-by-step explanation:

i just know

pls mark branliest

Answer:

4t + 8

Step-by-step explanation:

t + 3t = 4t

4t + 8

Answer:

4t+8

Step-by-step explanation:

If you look at your equation t+8+3t you will notice how you have two t parts

part 1: t

part 2: 3t

Since they have the same variable or letter you are able to combine them. When you add them together you get 4t.

Then you just put your 8 back on to the equation! 4t+8

Answer:

some thing is broken man

Step-by-step explanation:

Answer:

a. h(t) = 5t + 10

b. 70

c. h(5) = 35 means that in 5 seconds, it will be 35 feet above ground.

Step-by-step explanation:

a. Since the elevator is already 10 feet of the ground, u have to add that in the equation. And since it's 5 feet per second, 5 will be a multiplier so:

h(t) = 5t + 10

b. We have the equation already and in the equation it said that "t" represents the seconds so just replace 1 with 12:

h(12) = 5(12) + 10

h(12) = 60 + 10

h(12) = 70

c. Refer to b that we just did if u will, "t" represents seconds so h(t) becoming h(5) means 5 seconds. So h(5) = 35 means that in 5 seconds, it will be 35 feet above ground.

Answer:

-7

Step-by-step explanation:

H - 15 = -22

H= -22+15

H= -7

Value of H is -7

Answer:

- 7

Step-by-step explanation:

h - 15 = - 22

h = 15 - 22

h = - 7

Thus, The value of h is - 7

-TheUnknownScientist

Answer:

55

Step-by-step explanation:

If the can holds 1/5 of a gallon, he will have to fill it up 5 times to fill 1 gallon of the tank. Since the tank holds 11 gallons, he will have to fill up the can 5 × 11 = 55 times.

Answer:

1/6

Step-by-step explanation:

You're welcome :)

Answer:

22 units.

Step-by-step explanation:

We want to find the perimeter of the polygon with vertices at: (-3, 1); (5, 1); (-3, 4); and (5, 4).

Let’s first plot the points and see what polygon we acquire. Please refer to the graph below.

As we can see, when plotting the points and connecting them, we get a rectangle.

So, we can use the perimeter formula for a rectangle, given by:

[tex]P=2(\ell+w)[/tex]

Where [tex]\ell[/tex] Is the length and [tex]w[/tex] is width.

Remember that the perimeter is simply the distance around the figure.

So, let’s find the length. We can do so by counting or by subtracting.

By counting, we can see that the length (longer side) is 8 units.

And by subtracting, we get the same length of |5-(-3)| or 8 units.

We use absolute value because distance is always positive.

Using the same process, we find the width to be 3 units.

Using subtract, we can see that this is indeed true as |1-4|=3.

So, we can now substitute the values into our formula:

[tex]P=2(8+3)[/tex]

Evaluate:

[tex]P=2(8+3)=2(11)=22\text{ units}[/tex]

So, the perimeter of the polygon is 22 units.