Zachary's family traveled 3/10 of the distance to his aunts house. They traveled 3/7 of the remaining distance. What fraction of the total was traveled to his aunts house

Answer:

112.5

Step-by-step explanation:

112.5 ÷ 450 =

0.25 =

0.25 × 100/100 =

0.25 × 100% =

(0.25 × 100)% =

25%

or

25% × 450 =

(25 ÷ 100) × 450 =

(25 × 450) ÷ 100 =

11,250 ÷ 100 =

112.5

Answer:

112.5

Step-by-step explanation:

First you would divide 450÷100=4.5. Then you would multiply 4.5×25=112.5.

this would give you 25% of 450

400÷100=4.5

4.5×25=112.5

Answer:

the answer is the first graph

Step-by-step explanation:

because the negative points are not viable

The graph of the equation y = 5.5x is shown in the picture and the slope of the line is positive, which is 5.5 option first is correct.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have a linear equation in the form of slope:

y = 5.5x

Slope of the line m = 5.5

Slope is positive, which means the line goes down to up.

We can plot the graph of the equation y = 5.5x

Option first On a coordinate plane, x-axis is numbered negative 5 to positive 5 in increments of 1, and the y-axis is numbered negative 27.5 to 27.5 in increments of 5.5. A straight line with a positive slope begins at point (0, 0) and ends at point (5, 27.5) is correct.

Thus, the graph of the equation y = 5.5x is shown in the picture and the slope of the line is positive, which is 5.5 option first is correct.

Learn more about the straight line here:

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Answer:

x=4.16

Step-by-step explanation:

12x -18 +4 = 16+18

12x-16= 16+18

12x-16=34

      +16 +16

12x=50

50/12

4.16

Answer:

Part A : [tex]1621\frac{1}{3}\pi[/tex] cubic meters.

Part B : 540π cubic cm.

Part C : [tex]V = \frac{4}{3}\pi r^{3}[/tex]

Step-by-step explanation:

Part A :

The volume of the silo includes the volume of a hemisphere and a cylinder.

So, the total volume

[tex]V = \frac{2}{3}\pi r^{3} + \pi r^{2}h[/tex]

⇒ [tex]V = \frac{2}{3} \times \pi (8)^{3} + \pi (8)^{2} (20)[/tex]

⇒ [tex]V = \frac{1024}{3}\pi + 1280\pi = 1621\frac{1}{3}\pi[/tex] cubic meters. (Answer)

Part B :

The volume of the cylindrical cup with height 15 cm and base radius 6 cm is given by

[tex]V = \pi r^{2}h = \pi (6)^{2} (15) = 540\pi[/tex] cubic cm.

Therefore, Mary can put 540π cubic cm of water in the cup with out it overflowing. (Answer)

Part C :

A basketball is of a spherical shape.

So, the formula of its volume is given by [tex]V = \frac{4}{3}\pi r^{3}[/tex]. (Answer)

Answer:

The answer is (t4)-7

Step-by-step explanation:

First you simplify the like terms so t add the 2s together and you get t4 then add the negative numbers and it equals -7.

Answer:(t4)-7

Step-by-step explanation:

Answer:

CPCTC

Step-by-step explanation:

If abc=def is given,

then using the cpctc rule. (corresponding parts of congruent triangles are congruent) should state this answer.

Answer:

y = -9x + 12

Step-by-step explanation:

first find the slope

m= 3 - 12

1 - 0

m = -9

y = mx + b

y = -9x + 12

(the 12 is the y intercept and is given in the question so there is no need to solve for it)

Answer:

[tex](F+G)x=2x^2+4x-16[/tex]

[tex]Domain[/tex] [tex]=(-\infty,\infty)[/tex]

Step-by-step explanation:

Given that

[tex]F(x)=2x^2+3x-15[/tex]

and  [tex]G(x)=x-1[/tex]

then   [tex](F+G)x = F(x)+G(x)[/tex]

[tex]=(2x^2+3x-15)+(x-1)\\=2x^2+3x-15+x-1\\\\(F+G)x=2x^2+4x-16[/tex]

Domain

since it is a polynomial of degree [tex]2[/tex], the domain will be whole real line  

[tex]domain[/tex] [tex]=(-\infty,\infty)[/tex]

Final answer:

To perform the function operation (F+G)(X), add the functions f(x) and g(x) together to get (F+G)(X) = 2x² + 4x - 16. The domain of this function is all real numbers.

Explanation:

To perform the function operation (F+G)(X), where f(x) is given as 2x² + 3x - 15 and g(x) is x - 1, we simply add the two functions together:

(F+G)(X) = f(x) + g(x)

(F+G)(X) = (2x² + 3x - 15) + (x - 1)

This simplifies to:

(F+G)(X) = 2x² + (3x + x) - (15 + 1)

(F+G)(X) = 2x² + 4x - 16

The domain for this new function is all real numbers, since there are no restrictions such as division by zero or taking the square root of a negative number that would limit the values that x can take.

Question:

Courtney walked from her house to the beach at a constant speed of 4 kilometers per hour and then walked from the beach to the park at a constant speed of 5 kilometers per hour. The entire walk took 2 hours and the total distance Courtney walked was 8 kilometers.

Let b be the number of hours it took Courtney to walk from her house to the beach, and p the number of hours it took her to walk from the beach to the park.

Which system of equations represents this situation?

Answer:

CORRECT (SELECTED)

⎪b+p=2

⎨4b+5p=8

Answer:

b

Step-by-step explanation:

you can break the 78 into 70 and 8, and multiply them separately by 6 and then add the two answers to get 468

Answer:

B

Step-by-step explanation:

literally the only equivalent equation

Answer:

c. ( 5, 3)

Step-by-step explanation:

6x-27=4x-17

6x-27-4x=4x-17-4x

2x-27=-17

2x-27+27=-17+27

2x=10

x=10/2

x=5

y=6(5)-27

y=30-27

y=3

Answer:

6 cups

Step-by-step explanation:

did the math

For two cups of boiling water, 6 cups of sugar would be needed

The first step is to determine how many cups of sugar that would be needed for one cup of boiling water

The number of cups of sugar needed for a cup of boiling water = cups of sugar / cups of boiling water

2 ÷  [tex]\frac{2}{3}[/tex]

2 x [tex]\frac{3}{2}[/tex] = 3 cups

The second step is to determine the number of cups of sugar that would be needed with two cups of boiling water

Cups of sugar needed for 2 cups of water = cups of sugar needed for one cups of boiling water x 2

3 cups x 2 cups = 6 cups

In order to determine the cups of sugar needed for two cups of boiling water, first determine the number of cups of sugar needed for a cup of boiling water. Use the figure determined to find the cups of sugar needed for 2 cups of water

A similar question was solved here: https://brainly.com/question/16614723?referrer=searchResults

Answer:

165 people

Step-by-step explanation:

If there are 105 woman then there are going to be 60 men because 105/7=14, so you multiply 4*15 and get 60. 60 + 105= 165. So the total employees will be 165.

The total number of employees is the sum of men and women, which is 105 (women) + 60 (men) = 165 employees.

To find the total number of employees, calculate the number of men from the given ratio 4:7 and the number of women (105), and then add the number of men to the number of women to get the total.

The question is about finding the total number of employees in a company given the ratio of men to women and the number of women.

Let's use the provided ratio of men to women, which is 4 to 7, to calculate the number of men.

Since there are 105 women, and the ratio dictates that for every 7 women there are 4 men, we divide 105 by 7 to find the number of units that represent women, which is 15.

We then multiply this by 4 (the number of men) to find the number of men, which is 60.

105 + 60 = 165

Answer:

195in^2 is the correct answer.

Step-by-step explanation:

The additive inverse is the idea of adding a negative number, which is the same as subtraction. Example: 2 + (-3) = 2-3

Based on the example above, if we start off with 3 and add on its additive inverse -3, then 3 + (-3) = 3-3 = 0. In general, x + (-x) = x-x = 0. So adding any number with its additive inverse gets you 0 every time.

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

Extra info:

Answer:96

Step-by-step explanation:

Answer:

-5/6

Step-by-step explanation:

3(1/6+2/9)+(-2)

1/6+2/9= 7/18

3*7/18 = 21/18 = 1 1/6

1 1/6 - 2 = -5/6

Answer:

8

Step-by-step explanation:

12+15=27 27+3=30 30+6+4=40 40/5=8

Answer:

the answer is 8

Step-by-step explanation:

12+15+6+4+3 / 5 = 8

Answer:

J =2m -3

Step-by-step explanation:

2m is twice Monica's age

-3 represents 3 years younger

Final answer:

To find the value of x, set the expressions equal to each other and solve for x.

Explanation:

To find the value of x in the given equation, we need to set the two expressions equal to each other and solve for x. So, we have:

19x - 36 = 6x + 31

Subtracting 6x from both sides, we get:

13x - 36 = 31

Adding 36 to both sides, we get:

13x = 67

Dividing both sides by 13, we get:

x = 67/13

So the value of x is approximately 5.15.

Answer:

The only correct statement is ii) In Grade 8,  17% of the students liked

running.

Step-by-step explanation:

Favorite Sports

                    Swimming        Running      Volleyball      Total

Grade 8            0.24                0.17             0.05               0.46

Grade 9            0.18                 0.14             0.22               0.54

Total                  0.42                0.31            0.27                 1

i.) In Grade 8 14 students liked swimming.

   This cannot be said with accuracy as the total number of students is not

   known.

ii) In Grade 8,  17% of the students liked running.

   This statement is TRUE.

iii)  In Grade 9, 31% of students liked volleyball.

    This statement is NOT TRUE.  In Grade 9,  22% of the students liked

     volleyball.

iv)  In Grade 9, 22 students liked volleyball.  

    This cannot be said with accuracy as the total number of students is not

   known.

  The only correct statement is ii) In Grade 8,  17% of the students liked

  running.

Answer:

In Grade 8,  17% of the students liked running.

Step-by-step explanation:

We have,

[tex]-16(0.47)^2[/tex]

To find, the value of [tex]-16(0.47)^2[/tex] = ?

∴ [tex]-16(0.47)^2[/tex]

= [tex]-16(\dfrac{47}{100} )^2[/tex]

= [tex]-16\times \dfrac{47}{100}\times \dfrac{47}{100}[/tex]

= [tex]-4\times \dfrac{47}{25}\times \dfrac{47}{100}[/tex]

= [tex]- \dfrac{47}{25}\times \dfrac{47}{25}[/tex]

=[tex]- \dfrac{2209}{625}[/tex]

= - 3.5344

∴ The value of [tex]-16(0.47)^2[/tex] = - 3.5344

Thus, the value of [tex]-16(0.47)^2[/tex] is equal to - 3.5344.

The equations used to find the length of leg of triangle are:

[tex]0.5x(x+2) = 24\\\\x^2+2x-48=0\\\\x^2+(x+2)^2 = 100[/tex]

Solution:

From given,

Area of right triangle = 24 square feet

Also from given figure in question (attached below )

base = x and height = x + 2

The area of triangle is given by formula:

[tex]Area = \frac{1}{2} \times base \times height[/tex]

Substituting the values we get,

[tex]24 = \frac{1}{2} \times x \times (x+2)\\\\24 = 0.5x(x + 2)\\\\48 = x(x+2)\\\\x^2 + 2x - 48 = 0\\\\[/tex]

Also, the above equation can be written as,

[tex]x^2 + (x+2)^2 =100[/tex]

Thus the equations used to find the length of leg of triangle are:

[tex]0.5x(x+2) = 24\\\\x^2+2x-48=0\\\\x^2+(x+2)^2 = 100[/tex]

Answer:

A, D, E

Step-by-step explanation:

From the answer above, but the letters to make it easier :)

Tony is correct.

Step-by-step explanation:

Given polynomial is;

[tex]x^2+13x+36=0[/tex]

Tony's answer is x = -9

We will put x = -9 in given polynomial.

[tex](-9)^2+13(-9)+36=0\\81-117+36=0\\0 = 0[/tex]

Tony's solution satisfies the equation.

Erika's answer is x = 4

We will put x = 4 in given polynomial.

[tex](4)^2+13(4)+36=0\\16+52+36=0\\104\neq 0[/tex]

Erika's solution does not satisfy the equation, therefore

Tony is correct.

Keywords: polynomial, roots

Learn more about polynomials at:

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Answer:

cj sjx soiebxidhevdi hi

Answer: hi

Step-by-step explanation:

Lol

Answer:

x= 14√3

y= 28√3

Step-by-step explanation:

Please see attached picture for full solution.

(tan30° and cos30° are special angles so there's an exact value to it in which we can memorise.)

In this case, by Pythagoras's Theorem, you should ensure that:

[tex] {y}^{2} = 42^{2} + {x}^{2} [/tex]

✓ Let's check:

[tex]{y}^{2} = (28 \sqrt{3} )^{2} \\ y^{2} = 2352 \\ {x}^{2} + {42}^{2} = ( 14\sqrt{3})^{2} + 1764 = 2352[/tex]

This satisfies Pythagoras' Theorem :)

For this kind of questions, first label the adjacent side, opposite side and the hypotenuse side of the triangle.

Cosine angle= adjacent/ hypotenuse

Sine angle= opposite/ hypotenuse

tangent angle= opposite/ adjacent

Then substitute the known side and angle to find the unknown side.

Final answer:

The slope of the line passing through the points (10,4) and (-2, 17) is calculated using the slope formula and is approximately -1.08.

Explanation:

To find the slope for the line passing through the two points (10,4) and (-2, 17), we use the slope formula which is (change in y)/(change in x) or (y2 - y1) / (x2 - x1). Applying this formula to our points:

m = (17 - 4) / (-2 - 10)

m = 13 / -12

m = -1.0833...

So, the slope of the line that passes through the points (10,4) and (-2, 17) is approximately -1.08.

Answer:

972

Step-by-step explanation:

10 x 36= 360

12 x 51= 612

360+612= 972

Brainliest please :)

Answer:

972

Step-by-step explanation:

Product = Multiplication

Sum = Addition

10 * 36 + 12 * 51

Multiply first

360 + 612

Add

972

Hope this helps :)