Mrs.martin's class has 8 boys out of a total of 20 students.which is the ratio of girls to boys in her class?

Answer:

mom mom mom mom mom mom b mom

Answer:

x=21

Step-by-step explanation:

We know that the angles of a triangle has a sum of 180 degrees always. We know two sides already which are 45 and 63. Their sum is 108 degrees which means that the missing side is 180-108 which is 72.

Now we can set 72 equal to 4x-12 since the last side has to equal 72 and solve.

72=4x-12

84=4x

x=21

Hope this helps!!!

Step-by-step explanation:

answer is B

use unitary method to solve it

Answer: 18

Step-by-step explanation:

        The least common denominator of [tex]\frac{7}{9}[/tex] and [tex]\frac{5}{6}[/tex] is going to be a multiple of 9 and 6. Let us list them out:

9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90

6: 6, 12, 18, 24, 30, 36, 42, 28, 54, 60

        You can see I bolded and underlined 18. Why? This is the first common multiple of 9 and 6 so it is our least common denominator (LCD).

The equation [tex]y = x^2 - 8x + 3[/tex] is an illustration of a quadratic equation

The vertex of the quadratic equation [tex]y = x^2 - 8x + 3[/tex] is (4,-13)

The equation is given as:-

[tex]y = x^2 - 8x + 3[/tex]

A quadratic equation is represented as:

[tex]y = ax^2 + bx + c[/tex]

By comparison, we have:

a = 1; b = -8; c = 3

The x-coordinate of the vertex is:
[tex]x = -\frac b{2a}[/tex]

So, we have:

[tex]x = \frac 8{2*1}[/tex]

[tex]x = 4[/tex]

Substitute 4 for y in [tex]y = x^2 - 8x + 3[/tex]

[tex]y = 4^2 - 8 * 4 + 3[/tex]

[tex]y = -13[/tex]

When x = 2 and 3, we have:

[tex]y = 2^2 - 8 * 2 + 3 = -9[/tex]

[tex]y = 3^2 - 8 * 3 + 3 = -12[/tex]

When x = 5 and 6, we have:

[tex]y = 5^2 - 8 * 5 + 3 = -12[/tex]

[tex]y = 6^2 - 8 * 6 + 3 = -9[/tex]

So, the table of values is:

x       y

2      -9

3      -12

4      -13

5      -12

6      -9

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The amount needed such that when it comes time for retirement, an individual can make semiannual withdrawals in the amount of $15,265 for 35 years is $225093.358.

The total amount to be withdrawn in a year = 15265*2 = $30530

The total amount to be withdrawn in 35 years =$1068550

Compound interest is interest on interest along with interest on the principle.

Annual Rate of interest = 4.5%

Semi-annual rate of interest r=2.25%

Amount A= $1068550

[tex]1068550 =P(1+\frac{2.25}{100})^70[/tex]

[tex]P = $225093.358[/tex]

Therefore, the amount needed such that when it comes time for retirement, an individual can make semiannual withdrawals in the amount of $15,265 for 35 years is $225093.358.

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Answer:

  32.2 units

Step-by-step explanation:

The length of a line segment can be found from its endpoint coordinates using the distance formula.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((18 -2)² +(-18 -10)²) = √(16² +(-28)²) = √1040

  d ≈ 32.2

The line segment is about 32.2 units long.

The approximate length of the segment is 32.25 units if the line segment has endpoints at (2, 10) and (18, -18).

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

We have two points (2, 10) and (18, -18)

From the distance formula:

[tex]\rm d= \sqrt{(x_2-x_2)^2+(y_2-y_1)^2}[/tex]

[tex]\rm d= \sqrt{(18-2)^2+(-18-10)^2}[/tex]

[tex]\rm d= \sqrt{(16)^2+(-28)^2} \\\\\rm d= \sqrt{(256+784)\\[/tex]

[tex]\rm d =\sqrt{1040} \\\\d = 32.249[/tex] units  or

d = 32.25 units

Thus, the approximate length of the segment is 32.25 units if the line segment has endpoints at (2, 10) and (18, -18).

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Answer:

B. 9 cubic inches

Step-by-step explanation:

Hey there!

To find the volume of a rectangular prism, you must use the formula:

L * W * H

To find the volume we must multiply: 1.5, 4, and 1.5

Let's start!

The solution is 9 cubic inches (remember that inches * inches * inches is inches³, or cubic inches)

Volume = base area × height

Volume = ( 4 × 1 ½ ) × 1 ½

[tex]v = (4 \times \frac{3}{2} ) \times \frac{3}{2} \\ [/tex]

[tex]v = \frac{12}{2} \times \frac{3}{2} \\ [/tex]

[tex]v = \frac{36}{4} \\ [/tex]

[tex]v = 9[/tex]

Thus C is the correct option.

Have a great day ♡

Answer:

3.4 tonnes

Step-by-step explanation:

Kg --> tonnes = / 1000

50 x 40 / 1000 = 2. 2 + 1.4 = 3.4.

The two values when the provided quadratic equation is solved for the x are -4.41 and -1.59 to the nearest hundredth.

A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.

The standard form of the quadratic equation is,

[tex]ax^2+bx+c=0[/tex]

Here, (a,b,c) are the real numbers and x is the variable.

To find the value of x, the following formula is used,

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

The given equation is,

[tex]2(x+ 3)^2 - 4 = 0[/tex]

To solve this equation, we need to apply some mathematical operations over it. Let's start with opening the brackets.

[tex]2(x+ 3)^2 - 4 = 0\\2(x^2+6x+9)-4=0\\2x^2+12x+14-4\\2x^2+12x+12=0\\x^2+6x+7=0[/tex]

On comparing with standard equation we get,

[tex]a=1, b=6, c=7[/tex]

Put this values in the above formula,

[tex]x=\dfrac{-(6)\pm\sqrt{(6)^2-4(1)(7)}}{2(1)}\\x=\dfrac{-(6)\pm\sqrt{(6)^2-4(1)(7)}}{2(1)}\\x=-4.41,-1.59[/tex]

Hence, the two values when the provided quadratic equation is solved for the x are -4.41 and -1.59 to the nearest hundredth.

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Answer:

the center (0.0)

radius length {5

=x^2+y^2=25

6^2+8^2

36+64

100

which is greater than 25

so Itli outside of circle

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[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here we go ~

[tex]\qquad \sf  \dashrightarrow \:48200[/tex]

[tex]\qquad \sf  \dashrightarrow \:4.82 \times 10 {}^{4} [/tex]

Answer:

60%

Step-by-step explanation:

Formula:

Percentage decrease = (amount of decrease)/(original price)

✪ Solve ✪

3.85 - 1.54/3.85 x 100

2.31/3.85 x 100 = 60%

Hence, Percent decrease is 60%

~Lenvy

Step-by-step explanation:

By definition, pi is equal to c/d, where c is the circumference and d is the diameter.

This means that C = pi(d).

However, since diameter is twice the radius, if we let the radius be r cm, d=2r.

This gives that C=2pi(r).

Finding perimeter is simple. All you do is add up all of the side lengths, and bada bing bada boom, you got the perimeter.

Answer:

3(y+1)!

Step-by-step explanation:

Answer: 6

Step-by-step explanation: 36/6 = 6

Answer:

6

Step-by-step explanation:

[tex]\frac{36}{6}[/tex][tex]=6[/tex]

6x6=36

CP=SP*100÷100+P

so,

CP=10350*100÷100+15

CP=9000

Answer:

solution

Step-by-step explanation:

Let.the cp of TV be RS X

now,CP=SP-profit

or, CP=SP-profit% of Cp (as profit amount =profit % of Cp)

or, x=Rs 10350-15÷100× X

or, x= Rs 10350 _ 3X ÷20

or, x+3x ÷20 =Rs 10350

or, 23x ÷20 = Rs 10350

or, x = 10350×20 divided by 23

Therefore X =Rs 9000

Answer:

don't get mad at is i don't get this right

i think it would be D

Step-by-step explanation:

Answer: 107 degrees

Step-by-step explanation:

The students surveyed have at least one sibling are 65%.

The word "per centum," which means "by the hundred," was used to create the phrase "percentage." The denominator of a percentage is 100, which are fractions. To put it another way, it is the relationship between parts and the whole, where the whole always has a value of 100.

Rate is characterized as a given part or sum in each hundred. The denominator is 100, and the symbol "%" denotes that it is a fraction.

Given total  student surveyed  = 20

students had at least one sibling = 13

percent of the students surveyed have at least one sibling =

(students had at least one sibling)/(total  student surveyed) x 100

percent of the students = 13/20 x 100

percent of the students =  65%

Hence 65% of students surveyed have at least one sibling.

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The equation of the circle x² + y² + 4x – 8y + 11 = 0 that has radius of 3 units and center at (–2, 4).

It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The equation of the circle is x² + y² + 4x – 8y + 11 = 0

Add 9 on both sides of the equation, then we have

x² + y² + 4x – 8y + 11 + 9 = 9

x² + 4x + 4 + y² – 8y + 16 = 9

             (x + 2)² + (y – 4)² = 3²

The center of the equation is (–2, 4).

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Answer:

A. (-2, 4)

Step-by-step explanation:

i did it B)

9-R= C

hope this helps :)

Answer:

107 should be your answer

Step-by-step explanation:

so to simplify it, its as simple as 180-146=34 and then 73+34=107, because BGC is vertical to AGD giving you most of the line, and from more math you can figure out that FGA is equal to 73 and vertical to EGB giving you the rest that you need.

Answer:

183

Step-by-step explanation:

it is clearly a geometric sequence.

the common ratio of multiplication factor is -3.

3 × -3 = -9

-9 × -3 = 27

27 × -3 = -81

-81 × -3 = 243

the sum of these first 5 terms is

3 - 9 + 27 - 81 + 243 = 183

FYI - there is a formula to add the first n terms of a geometric sequence :

Sn = a1(1 - r^n)/(1 - r)

if r < 1 (like in our case -3).

in our case

S5 = 3(1 - (-3)⁵)/(1 - -3) = 3(1 - -243)/4 / 3×244/4 = 3×61 = 183

Answer:

The value of the length of the side C is 11.49.

Step-by-step explanation:

Cosine formula is applicable.

c² = a² + b² -2abcos(C)

substitute the values:

c² = (5)² + (12)² -2(5)(12)cos(72)

= 25 + 144 - 2 (60) (0.309)

= 169 - 37.08

c² = 131.92

square root both sides:

c = sqrt(131.92)

C = 11.49

Answer:

It should be B

Step-by-step explanation:

2 2 -1 2 - -3 2 (2+-1)

1. Always do what's in parentheses

so we know that 1 is a negative and 2 is bigger than that number so you would just subtract normally.

2 2 -1 2 - -3 2 -1

Then get all exponents done.

4 -1 - 9-1

3-9-1

-6-1

Which should give u -5

Answer:

4 feet

Step-by-step explanation:

the 9 part of the ratio relates to 18 feet , then

18 ÷ 9 = 2 feet ← value of 1 part of the ratio , then

2 parts = 2 × 2 feet = 4 feet ← length on scale drawing