Half of what?= 32 1/2

Answer:

10

Step-by-step explanation

Answer:

10

Step-by-step explanation:

Answer:

The unknown measurement of angle R to the nearest degree is 41°

Step-by-step explanation:

As you can see, we made a diagram form the given information in the problem. We are trying to find the measurement of angle R which is our unknown angle represented by the question mark.

in order to solve this problem, we are going to be using tangent. Tangent uses the opposite side and the adjacent side from the given or from the unknown angle measurement.

So, our equation will look like this.

[tex]tanx=\frac{7.6}{8.6}[/tex]

Since, we do not know the measurement of the unknown angle, then are going to use the inverse of tangent.

[tex]x=\frac{7.6}{8.6}(tan^-^1)[/tex]

Now, we solve. You can use a calculator to do these calculations.

The unknown measurement of the unknown angle to the nearest degree is 41° which is answer choice D.

Answer:

Of course the answer is 2.

It says 'Double'!

The required scale factor is 2 in a manner to double the volume of the fish tanks. Option A is correct.

The figure is shown of the fish tank, a scale factor to be determined that is applied to the dimensions so the volume becomes twice the former volume.

Volume is defined as the ratio of the mass of an object to its density.

The volume of the fish tank = v
Now new the volume of the new fish tank = 2v
Scale factor = New volume/old volume
                  =  2v/v
                  = 2

Since the scale factor is 2 the dimension of new fish tank should be doubled to get twice the volume of the old fish tank.

The required scale factor is 2 in a manner to double the volume of the fish tanks. Option A is correct.

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Answer:

3x³ - 10x² + 14x - 12

Step-by-step explanation:

(3x² - 4x + 6) × (x - 2)

3x³ - 4x² + 6x - 6x² + 8x - 12

3x³ - 10x² + 14x - 12

Thus, the product of 3x² - 4x + 6 and x - 2 in standard form is 3x³ - 10x² + 14x - 12

Step-by-step explanation:

Since the original price is $47.96 and bill rate is 7%, $47.96 × 1.07 ≈ $51.32

Answer:

$51.32

The amount of sales tax for the bill if the rate is 7% will be $3.36.

The quantity of anything is stated as though it were a fraction of a hundred.

Vince and 11 of his friends went out for pizza on Saturday night to celebrate Vince’s birthday.

The cost of the pizza and soft drinks before sales tax and tip was $47.96.

Then the amount of sales tax for the bill if the rate is 7% will be

⇒ $47.96 x 0.07

⇒ $3.36

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Answer:

  90

Step-by-step explanation:

Let g and b represent the number of girls and boys attending, respectively.

After 15 girls left, the ratio of boys to girls was ...

  b/(g -15) = 2/1

  b = 2g -30 . . . . . multiply by (g-15)

__

After 45 boys left, the ratio of girls to boys was ...

  (g -15)/(b -45) = 5/1

  g -15 = 5b -225 . . . . . . multiply by (b-45)

  g = 5b -210

Using the latter to substitute into the former, we have ...

  b = 2(5b -210) -30

  450 = 9b . . . . . add 450-b

  50 = b . . . . . . 50 boys attended

  g = 5(50) -210 = 40 . . . . . 40 girls attended

The number of students who attended the party was 50 +40 = 90.

_____

Check

After 15 girls left, the ratio of boys to girls was 50/25 = 2/1.

After 45 boys left, the ratio of girls to boys was 25/5 = 5/1.

Answer:

let b = original number of boys

let g = original number of girls

:

Of a group of boys and girls at Central Middle School's after-school party, 15 girls left early to play in a volleyball game.

The ratio of boys to girls then remaining was 2 to 1.

b%2F%28%28g-15%29%29 = 2%2F1

Cross multiply

b = 2(g-15)

b = 2g - 30

:

Later, 45 boys left for a football game. The ratio of girls to boys was then 5 to 1.

%28%28g-15%29%29%2F%28%28b-45%29%29 = 5%2F1

cross multiply

g - 15 = 5(b-45)

g - 15 = 5b - 225

g = 5b - 225 + 15

g = 5b - 210

Replace b with (2g-30)

g = 5(2g-30) - 210

g = 10g - 150 - 210

g = 10g - 360

360 = 10g - g

360 = 9g

g = 360/9

g = 40 girls originally

find b

b = 2(40) - 30

b = 50 boys originally

" How many students attended the party?"

40 + 50 = 90 students

Answer:

x =11

Step-by-step explanation:

(whole secant) x (external part) =  (whole secant) x (external part)

( 15+x-2) * (x-2) = (19+x-3) * (x-3)

Combine like terms

(13+x) *(x-2) = (16+x) *(x-3)

Distribute

11x+x^2-26=13x+x^2-48

Subtract x^2 from each side

11x -26 = 13x -48

Subtract 11x from each side

-26 = 2x-48

Add 48 to each side

22 = 2x

Divide by 2

11 =x

260 units2 is the answer

Answer: Speed  of first bird =41 mph

Speed of second bird = 26 mph

Step-by-step explanation:

Let x be the speed of the second bird, then the speed of first bird will be x+15.

After 6 hours ,

Distance covered by first bird= (x+15)(6)      [Distance = speed × time]

= 6x+90

Distance covered by second bird= (x)(6) = 6x

After 6 hours the two birds are 402 miles apart.

[tex]\Rightarrow\ 6x+90+6x=402\\\\\Rightarrrow\ 12x=402-90\\\\\Rightarrow\ 12x=312\\\\\Rightarrow\ x=\dfrac{312}{12}\\\\\Rightarrow\ x=\dfrac{312}{12}=26[/tex]

Speed of second bird = 26 mph, Speed  of first bird = 26+15 = 41 mph.

Answer:

Hey there!

5300+3500=8800

20000-8800=11200

1.055x=11200

x can be at most 10616 dollars.

Hope this helps :)

Answer:B, C, & F

Step-by-step explanation:

got correct on edge

KM, JK, PK, and MJ are shown on the diagram. Then the correct options are B, C, D, and F.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

A line segment in mathematics has two different points on it that define its boundaries.

All the line segments will be

JK, JM, KM, MP, PK, and KL

The triangle KPM.

And the angle will be ∠LKJ, ∠PKM. ∠KMP. and ∠MPK.

Then the correct options are B, C, D, and F.

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Answer:

33

Step-by-step explanation:

We can write an equation:

x+x+1+x+2+x+3=130

x represents the smallest number of the consecutive integers

By the way, an example of consecutive would be 2, 3, 4, 5 or 10, 11, 12, 13

We can combine like terms from our equation:

4x+6=130

4x=124

x=31

The smallest number is 31. The second number would be 31+1=32, which means the third number is 33!

Hope this helps! :) :)

Answer:

[tex]\huge\boxed{3rd\ number = 33}[/tex]

Step-by-step explanation:

Let the consecutive numbers(Coming one after another) be x, x+1, a+2 and x+3

So,

x+x+1+x+2+x+3 = 130

4x + 6 = 130

Subtracting 6 to both sides

4x = 130-6

4x = 124

Dividing both sides by 4

x = 32

So,

1st number = x = 31

2nd Number = x+1 = 31+1 = 32

3rd number = x+2 = 31+2 = 33

4th number = x+3 = 31+3 = 34

Answer:

C. 27 pages

Step-by-step explanation:

First, add all of the numbers together

15+19+46

That would be 80.

Then, once you have the numbers added, divide the number you by how many numbers there are.

80 divided by 3 = 26.7 (rounded)

Now that you have the answer 26.7, that tells you that the answer is 27 pages.

Answer:

c.27

Step-by-step explanation:

You have to add 46,15, and 19 together which gets you 80. Then you divide it by 3 and you get 26.(something) since its a decimal, you need a whole number. You round to 27 because its the closest. (When finding the mean, you must add the numbers and divide by how many numbers there are (3))

Answer:

-17

Step-by-step explanation:

First thing to do in this equation is to multiply both sides by 22.

This becomes, -5+x=-22

Add 5 to both sides.

x=-17

Answer:

x = -17

Step-by-step explanation:

-5+x

-------- = -1

22

Multiply each side by 22

-5+x

--------  * 22= -1 *22

22

-5 +x = -22

Add 5 to each side

-5+x +5 = -22 +5

x = -17

Answer:C and F are correct

Step-by-step explanation:

got it right on edge

Answer:

Step-by-step explanation:

The rule for the sequence is

[tex]A(n) = 5. {2}^{x - 1} [/tex]

where x is the number of terms

For the first term

x = 1

That's

[tex]A(1) = 5. {2}^{1 - 1} [/tex]

[tex]A(1) = 5. {2}^{0} [/tex]

A(1) = 5(1)

For the fourth term

x = 4

[tex]A(4) = 5. {2}^{4 - 1} [/tex]

[tex]A(4) = 5. {2}^{3} [/tex]

A(4) = 5(8)

For the eighth term

x = 8

[tex]A(8) = 5. {2}^{8 - 1} [/tex]

[tex]A(8 ) = 5. {2}^{7} [/tex]

A(8) = 5(128)

Hope this helps you

Answer:

The first option.

Step-by-step explanation:

The first term of the sequence would be...

A(1) = -5 * 2^(1 - 1)

= -5 * 2^0

= -5 * 1

= -5

The fourth would be...

A(4) = -5 * 2^(4 - 1)

= -5 * 2^3

= -5 * 8

= -40

The eighth would be...

A(8) = -5 * 2^(8 - 1)

= -5 * 2^7

= -5 * 128

= -640

So, the correct answer is the first option.

Hope this helps!

Answer:

Multiplicative Identity Property,Associative Property of Addition,Commutative Property of Multiplication,Zero Property of Multiplication

Step-by-step explanation:

The required properties for the given expression of the real numbers are multiplication property, associative property,  commutative property, and property of zero multiplication.

Given that,

A number of expressions for the real number are given we have determined the corresponding properties for the arithmetic operation given.

In mathematics, it deals with numbers of operations according to the statements.

Here,
1.
n.1 = n
It is a unit multiplication property.

2.
(4 + b) + 7 = 4 + (b + 7)
it is associative property of real numbers.

3.
m.9 = 9.m
it is commutative property.

4.
0.c = 0
It is a property of zero multiplication.

Thus, the required properties for the given expression of the real numbers are multiplication property, associative property,  commutative property, and property of zero multiplication.

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The conic section chosen is a parabola, and the attributes for graphing of

a parabola as well as the standard form of the equation are as follows;

Reasons:

Part A:

The equation of the conic section of a parabola is; (x - 3)² = 12·(y - 2)

The vertex form of the equation of a parabola is; y = a·(x - h)² + k

Where (h, k) = The vertex

Rearranging the given equation gives;

(x - 3)² = 12·y - 24

12·y - 24 = (x - 3)²

12·y = (x - 3)² + 24

[tex]\displaystyle y = \frac{1}{12} \cdot \left(x - 3\right)^2 + \frac{24}{12} = \frac{1}{12} \cdot \left(x - 3\right)^2 + 2[/tex]

[tex]\displaystyle y = \frac{1}{12} \cdot \left(x - 3\right)^2 + 2[/tex]

Therefore, the vertex of the parabola, (h, k) = (3, 2)

At the y-intercept, x = 0, which gives;

[tex]\displaystyle y = \frac{1}{12} \cdot \left(0 - 3\right)^2 + 2 = \frac{9}{12} + 2 = 2+\frac{3}{4}[/tex]

[tex]\displaystyle y = 2+\frac{3}{4} = 2.75[/tex]

The y-intercept = (0, 2.75)

The x-intercept is given at the point where y = 0, which gives;

(x - 3)² = 12·(0 - 2) = -24

x - 3 = √(-24) = An imaginary number

Therefore, the graph has no x-intercept

Given that a parabola is symmetrical about the vertex, we have a third

point on the parabola at the image of the y-intercept reflected across the

axis of symmetry as follows;

The y-intercept (0, 2.75) is 3 units to the left of the axis of symmetry, x = 3,

therefore, the third point will be 3 units to the right of the axis of symmetry

at the point (3 + 3, 2.75) = (6, 2.75)

Therefore, using the three points, (0, 2.75), (3, 2), and (6, 2.75), the curve

representing the parabola, (x - 3)² = 12·(y - 2), can be drawn.

Please find attached the graph of the parabola created with MS Excel

Part B; Given the attributes of the parabola; Vertex: (4, 2) and focus: (3, 2), we have;

The focus of a parabola is the point (h + p, k)

Where, (h, k) = The vertex

Therefore, by comparison, we have;

(h, k) = (4, 2)

h + p = 3

Therefore;

4 + p = 3

p = 3 - 4 = -1

The vertex form of the equation of the parabola is; (y - k)² = 4·p·(x - h)

Therefore, we get;

(y - 2)² = 4 × (-1) × (x - 4) = -4·(x - 4)

y² - 4·y + 4 = 16 - 4·x

4·x = 16 - (y² - 4·y + 4) = -y² + 4·y + 12

Which gives, the standard form as follows;

[tex]\displaystyle x = -\frac{y^2}{4} + y + 3 = -0.25 \cdot y^2 + y + 3[/tex]

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Answer:

248

Step-by-step explanation:

Answer:

k=(-1,5)=-5

Step-by-step explanation:

Answer:

ok i got the same question and i think it is and dont qoute me boy i aint said it but i think its B sorry if im wrong

Step-by-step explanation:

Answer:

4*10^6

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{8\times 10^2^4}{2\times 10^1^8}=\\\\\mathrm{Divide\:the\:numbers:}\:\frac{8}{2}=4\\\\=\frac{10^{24}\times \:4}{10^{18}}\\\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\\\frac{10^{24}}{10^{18}}=10^{24-18}\\\\=4\times \:10^{24-18}\\\\\mathrm{Subtract\:the\:numbers:}\:24-18=6\\\\=10^6\times \:4\\\\10^6=1000000\\\\=1000000\times \:4\\\\=4000000\\\\= 4\times10^6[/tex]

Answer:

[tex]\huge\boxed{x = 6 , y = -2}[/tex]

Step-by-step explanation:

[tex]\sf \frac{1}{2} x - 3y = 9-----------(1)\\5x + y = 28 ----------(2)[/tex]

Taking equation (1)

[tex]\sf \frac{1}{2} x -3 y=9[/tex]

Multiplying both sides by 2

[tex]\sf x-6y = 18[/tex]

Adding 6y to both sides

[tex]\sf x = 18+6y[/tex]

Putting this in (2)

5(18+6y) + y = 28

5(18+6y) + y = 28

90 + 30y+y = 28

31y+90-28 = 0

31 y + 62 = 0

31y = -62

Dividing both sides by 31

y = -2

Now,

x = 18 + 6y

x = 18+6(-2)

x = 18-12

x = 6

So "MATHCOUNTS" has 10 letters.

And "MATH" has 4 letters.

So the probability of you getting the letters "M" "A" "T" "H" is 4/10 or 2/5.

But it has to be in order...

There are 32 ways you can arrange the 4 letters. There is only 1 way you can write "MATH"

So 1/32 probability of 2/5 is 2/160 or 1/80

The probability of getting the word MATH is 1/80

The study of likeliness of an event to happen is probability .

It is given that

Total letters in MATHCOUNTS : 10 letters.

Total chances of getting letter M , A , T , H  is  4

Probability of getting the letters M , A , T , H is 4/10

= 2 /5

The probability of getting the word MATH is 1

And the total number of ways the letters can be arranged is 2⁴

= 32

The probability of getting the word MATH is

= 1 /32 * 2 /5

=1/80

Therefore , The probability of getting the word MATH is 1/80

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Answer:

  504 in³

Step-by-step explanation:

The volume of the overall outside dimensions is their product:

  Voverall = (12 in)(8 in)(6 in) = 576 in³

The volume of the "slot" is the product of its dimensions:

  Vslot = (6 in)(6 in)(2 in) = 72 in³

Then the volume of the figure shown is ...

  Vfigure = Voverall -Vslot = 576 in³ -72 in³ = 504 in³

Answer:

504 inches cubed

Step-by-step explanation:

The area missing is 6*6*2=72

The whole area is 576

subtract the two and get 504

since we are talk about volume it is 50 inches cubed

Answer:

It is ASA congruence rule as the 2 angles and the included side of the triangle are equal

Answer:

Answer and Explanation:

The Journal entry is shown below:-

1. Income Tax Expense Dr, $336 million  

Deferred Tax Assets Dr, $29 million

($116 million  × 25%)

         To Income Tax Payable $365 million

($1,460 × 25%)

(Being income tax and deferred tax is recorded)

2. Income Tax Expense Dr, $400 million

         To Income Tax Payable  $340  million

($1,360 × 25%)

         To Deferred Tax Assets $60 million

(($354.0 million - $116 million)  × 25%)

(Being income tax and deferred tax is recorded)

Step-by-step explanation:

Answer:

=90

Step-by-step explanation:

because d=32° and b=58°

this is because corresponding  angles are equal

Answer:

Step-by-step explanation:

b+d =90 degree

hope it helps

Hey there! I'm happy to help!

Sine is a trigonometric ratio. It is the ratio of the opposite side of the angle to the hypotenuse. Since it is a ratio, it does matter how big or small the triangle is as long as the sides remain in proportion. If the opposite side is 4 and the hypotenuse is 5, the sine of x will be the same as it would be if the opposite were 16 and the hypotenuse were 20 because they simplify to the same ratio (4/5).

The sine (or any trigonometric ratio) of any number stays the same even if the triangle is dilated because the proportion between the sides stays the same no matter how big or small. So, they told us the answer at the beginning. The sine of angle x is 4/5.

Have a wonderful day! :D

Answer: 4/5

Step-by-step explanation: Took the test and got it right. I assumed it was the same because angles do not change after being dilated.

Answer:

[tex]\{(8, 1), (4, 1), (0,1), (-15, 1)\}[/tex]

Step-by-step explanation:

Given

[tex]\{(-4, -6), (-3, -2), (1, -2), (1, 0)\}[/tex]

[tex]\{(-2, -12), (-2, 0), (-2, 4), (-2, 11)\}[/tex]

[tex]\{(0,1), (0, 2), (1, 2), (1, 3)\}[/tex]

[tex]\{(8, 1), (4, 1), (0,1), (-15, 1)\}[/tex]

Required

Determine which is a function

A relation is divided into 2; (x,y)

Where x represents the range and y stands for the domain

For a relation to be a function, the x column must be unique; in other words, there must be only one occurrence of x

Testing each of the given options

A. [tex]\{(-4, -6), (-3, -2), (1, -2), (1, 0)\}[/tex]

Start by splitting the relation into x and y columns

[tex](x,y)[/tex]

[tex](-4, -6)[/tex]

[tex](-3, -2)[/tex]

[tex](1, -2)[/tex]

[tex](1, 0)[/tex]

Notice that the third and fourth relation has the same x value of 1;

Hence, this is not a function

B. [tex]\{(-2, -12), (-2, 0), (-2, 4), (-2, 11)\}[/tex]

Start by splitting the relation into x and y columns

[tex](x,y)[/tex]

[tex](-2, -12)[/tex]

[tex](-2, 0)[/tex]

[tex](-2, 4)[/tex]

[tex](-2, 11)[/tex]

Notice that all relations has the same x value of -2;

Hence, this is also not a function

C. [tex]\{(0,1), (0, 2), (1, 2), (1, 3)\}[/tex]

Start by splitting the relation into x and y columns

[tex](x,y)[/tex]

[tex](0, 1)[/tex]

[tex](0, 2)[/tex]

[tex](1, 2)[/tex]

[tex](1, 3)[/tex]

Notice that the first and second relation has the same x value of 0 and the third and fourth relation has the same x value of 1;

Hence, this is also not a function

D. [tex]\{(8, 1), (4, 1), (0,1), (-15, 1)\}[/tex]

Start by splitting the relation into x and y columns

[tex](x,y)[/tex]

[tex](8, 1)[/tex]

[tex](4, 1)[/tex]

[tex](0, 1)[/tex]

[tex](-15, 1)[/tex]

Notice that relation has the unique x values of 8, 4, 0 and -15

Hence, this relation is a function