find missing side of triangle. help

Answer:

B

Step-by-step explanation:

Option B is correct, 4 and 3/10 hours  will Mrs. Nygaard need to work over the weekend to finish grading the projects.

A fraction represents a part of a whole.

To find the total amount of time Mrs. Nygaard has available during the week to grade projects, we need to add up the hours for each day:

1 and three-fourths + 1 and one-half + 1 and one-fifth + 2 + 1 and one-fourth = 7 and five-tenths hours

This means that Mrs. Nygaard has 7.5 hours during the week to grade projects.

If she needs 12 hours to grade all the projects, then she will need to work for an additional:

12 - 7.5 = 4.5 hours over the weekend to finish grading the projects.

Therefore, 4 and 3/10 hours  required to Mrs. Nygaard need to work over the weekend to finish grading the projects.

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Answer:

$5

Step-by-step explanation:

Find the markup by finding 25% of 20:

20(0.25)

= 5

So, the markup is $5

answer

4

2

Step-by-step explanation:

4x+3y=19

4x=19-3y

4x=16

x=16/4

x=4

2x+5y=20

5y=20/2x

5y= 10

y=10/5

y=2

Translate How is mathematical thinking established? How can we have mathematical thinking? in to Chinese.

数学思维是如何建立的？ 怎样才能有数学思维？

Answer:

-4/3

Step-by-step explanation:

-3 x (-2/3)²

= -3 x (4/9)

= -4/3

Answer:

1)duno

2)duno

3)duno

Step-by-step explanation:

glad i can help hahahaahhaa

Answer:

Mean = 2.33

Step-by-step explanation:

Given that,

conceded goals : 0 1 2 3 4

Frequency : 2 8 4 10 6

Mean,

[tex]M=\dfrac{\Sigma fx}{\Sigma f}\\\\M=\dfrac{0\times 2+1\times 8+2\times 4+3\times 10+4\times 6}{2+8+4+10+6}\\\\=\dfrac{70}{30}\\\\M=2.33[/tex]

So, the required mean is 2.33.

Answer:

(x-11)(x-12)

Step-by-step explanation:

To clarify, there was a likely typo written in your question since it is impossible to solve two unknown values with only one equation. I'm supposing that the equation was supposed to be

[tex] {x}^{2} - 23x + 132[/tex]

The first step is to split the term into factorable terms.

Since the highest power is power of 2, the equation would look like this if factorized:

[tex](ax + b)(cx + d)[/tex]

If the terms were added properly, the expanded equation would be:

[tex](ac \times {x}^{2} ) +( (ad + bc) \times x) + (bd)[/tex]

Generally, we do not see decimal values or fractions in factorization with some exceptions. Otherwise, the equation could get very complicated.

In this case, we can determine the following:

[tex]a \times c = 1[/tex]

[tex](a \times d) + (b \times c) = - 23[/tex]

[tex]b \times d = 132[/tex]

First, we can determine a and c to be one since one only has one factor, which is itself.

This leaves us with two equations left

[tex]b + d = - 23[/tex]

[tex]b \times d = 132[/tex]

There are two ways to solve the remaining two terms. We can either find the factors or do quadratic equation. Finding the factors is the easier way out here.

b and d will add up to negative values but multiplying these values give positive values. The most likely reason is that b and d are negative values.

Now, we can find the factors of 132.

The factors are 1, 2, 3, 4 , 6, 11, 12, 22, 33, 44, 66 and 132. However, the values flip around.

In fact, the "factors" we are looking for are the negative values of the actual factors. To solve this, we should find two factors that add up to 23.

In this case, 11+12=23.

To verify, 11*12 is also 132.

Since we are looking for the negative values, the values we are looking for are -11 and -12.

The values can be plugged in anywhere in b or d.

After cleaning up, we can plug in the values into our factorization and we will get:

[tex](1x - 11)(1x - 12)[/tex]

or

[tex](x - 11)(x - 12)[/tex]

Answer:

y < -7

Step-by-step explanation:

You balance it like a normal equation:

8y + 3 > 15y + 52

8y + 3 (-8y) > 15y + 52 (-8y)

3 (-52) > 7y + 52 (-52)

-49 (÷7) > 7y (÷7)

y < -7

Answer:

6

Step-by-step explanation:

Set your formula up as

15 = 2y+3

15 - 3 = 2y

12 = 2y

12 / 2 = y

6 = y

Answer:

(3)11

Step-by-step explanation:

We are given that

[tex](x^2-12x+35)(x^2+10x+24)=504[/tex]

We have to find the sum of positive roots of the equation.

[tex]x^2(x^2+10x+24)-12x(x^2+10x+24)+35(x^2+10x+24)=504[/tex]

[tex]x^4+10x^3+24x^2-12x^3-120x^2-288x+35x^2+350x+840=504[/tex]

[tex]x^4-2x^3-61x^2+62x+840-504=0[/tex]

[tex]x^4-2x^3-61x^2+62x+336=0[/tex]

Factor of 336

2,3,4,6,8,7,

Let x=2

[tex]2^4-2^4-61(2^2)+62(2)+336\neq0[/tex]

x=2 is not the root of equation

x=-2

[tex](-2)^4-2(-2)^3-61(-2)^2+62(-2)+336=0[/tex]

Hence x=-2 is the root of equation.

x+2 is a factor of equation.

x=3

[tex]3^4-2(3^3)-61(3^2)+62(3)+336=0[/tex]

Therefore, x=3  is the root of equation.

[tex](x+2)(x-3)(x^2-x-56)=0[/tex]

[tex](x+2)(x-3)(x^2-8x+7x-56)=0[/tex]

[tex](x+2)(x-3)(x(x-8)+7(x-8))=0[/tex]

[tex](x+2)(x-3)(x-8)(x+7)=0[/tex]

[tex]x-8=0\implies x=8[/tex]

[tex]x+7=0\implies x=-7[/tex]

Positive roots are 3 and 8

Sum of positive roots=3+8=11

Option (3) is true.

Hello!

9x + 4 + x = 54 <=>

<=> 9x + x + 4 = 54 <=>

<=> 10x + 4 = 54 <=>

<=> 10x = 54 - 4 <=>

<=> 10x = 50 <=>

<=> x = 50 : 10 <=>

<=> x = 5 => 9 × 5 + 4 + 5 = 54

Good luck! :)

Answer:

x = 5

Step-by-step explanation:

First, combine like terms. Like terms are terms with the same variables as well as same amount of said variables:

9x + x + 4 = 54

(9x + x) + 4 = 54

10x + 4 = 54

Next, isolate the variable, x. Note the equal sign, what you do to one side, you do tot he other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

-

First, subtract 4 from both sides of the equation:

10x + 4 (-4) = 54 (-4)

10x = 54 - 4

10x = 50

Next, divide 10 from both sides of the equation:

(10x)/10 = (50)/10

x = 50/10 = 5

x = 5 is your answer.

~

Answer:

5/64

Step-by-step explanation:

5/8 : 8 = 5/8 * 1/8 = 5/64

Answer:

12 4/5

Step-by-step explanation:

simplified

Answer:

B

Step-by-step explanation:

C=pi×d

C÷pi = Pi×d÷Pi

C/pi=d

Answer:

B

Step-by-step explanation:

Given

C = πd ( isolate d by dividing both sides by π )

[tex]\frac{C}{\pi }[/tex] = d

Answer:

Step-by-step explanation:

resolver. Álgebra 1

14=4-6x-2

4-6x-2 : 2

Rpta: 2

Answer:

it's a negative slope

Step-by-step explanation:

**btw; not all slopes with a negative cefficient will look exactly like this, but as log as it has a negative coefficient, it will be negative and look somewhat similar**

Answer:

The slope is -2/3 and the y-intercept is -1.

Step-by-step explanation:

In a linear equation like this, the slope is the coefficient in front of the x after the expression has been completely simplified. In this case, the slope is -2/3.

For the y-intercept, that is simple too; since it is simplified, it is just the number that comes after the x package. So, for this, the y-intercept is -1.

Answer:

Step-by-step explanation:

Hope this helps u !!

Answer:

( 1 , 2 )

Step-by-step explanation:

x + 4y = 9

x = 9 - 4y .... ( 1)

2x - 4y = -6 ...( 2)

substitute the 9 - 4y as x in the second equation

2( 9 - 4y ) - 4y = -6

distribute 2

18 - 8y - 4y = -6

combine like terms

18 - 12y = -6

Subtract 18 from both sides

18 - 18 - 12y = -6 - 18

- 12y = - 24

divide both sides by -12

-12y / -12 = -24/-12

y = 2

Now , substitute the 2 as y in the second equation

2x - 4y = -6

2x - 4 ( 2 ) = -6

2x - 8 = -6

add 8 to both sides

2x - 8 + 8 = -6 + 8

2x = 2

divide both sides by 2

2x / 2 = 2/2

x = 1.

Answer:

I think 1500 but u may need some else to be sure

[tex]\displaystyle\ (\sqrt{25x-16} )^2=\ (i)^2 \\\\ 25x-16=-1 \\\\25x=15\\\\\boxed{x=\frac{3}{5}}[/tex]

Answer: 99

Step-by-step explanation:

Since the average of all four tests is 94:

[tex]\frac{95+92+90+x}{4} =94\\\\(4)\frac{277+x}{4} =(4)94\\\\277+x=376\\\\x=376-277=99[/tex]

Answer:

x = 23

Step-by-step explanation:

if line j is parallel to line k then

5x + 9 + 33 + x = 180 add like terms

6x + 42 = 180 subtract 42 from both sides

6x = 138 divide both sides by 6

x = 23

Answer:

<A = <B

=> 8x - 8 = 5x + 25

<=> 3x = 33

<=> x = 11

with x = 11 => mB = 5.11 + 25 = 55 + 25 = 80⁰

Answer:

x=11

B=80

Step-by-step explanation:

8x-8=5x+25

3x=33

x=11

B=5(11)+25

B=80

Answer:

3[tex]x^{3}[/tex] + 6[tex]x^{2}[/tex]

Step-by-step explanation:

(f · g )(x) = 3[tex]x^{2}[/tex] · (x + 2) = 3[tex]x^{3}[/tex] + 6[tex]x^{2}[/tex]  (Multiply the two terms by distributing)

Answer:

94.2 square units.

I got 94.09 but that seems to be the closer answer.

Answer:

[tex]a_1 = 5[/tex]

[tex]a_n = a_{n-1} + 2[/tex]

Step-by-step explanation:

Given

[tex]a_n = 5 + (n - 1)2[/tex]

Required

The equivalent recursive function

The general explicit function is:

[tex]a_n = a_1+ (n - 1)d[/tex]

So, by comparison

[tex]a_1 = 5[/tex]

[tex]d = 2[/tex]

The recursion of an arithmetic sequence is:

[tex]a_n = a_{n-1} + d[/tex]

Substitute 2 for d

[tex]a_n = a_{n-1} + 2[/tex]

Hence: (a) is correct

Answer:

22

Step-by-step explanation:

You add up the value of each X and you get a final answer of 22. Have a great day!

Answer:

3800 +/-10

Step-by-step explanation: