Translate each verbal expression to an algebraic expression.

1. 6 less than the product of a cubed number and 15

2. The sum of the product of 4 and a squared number and the quotient of 5 and 3.

Answer:

Let m∠BCE = x

Then m∠ACE = x as well since CE is bisecting ∠ACB.

Consider ΔBEC

Since BE = EC, the opposite angles are congruent:

Then:

Find the angle BEC:

Comparing the above we see that:

Answer:

Step-by-step explanation:

Probably it's asking for x so you have to find x in term of a and c

ax = 9c+76

x = 9c+76/a

Answer:

Step-by-step explanation:

I can see your problem. That's one of those questions where the directions are part of the problem. I think you are supposed to solve for x.

ax-76 = 9c                Add 76 to both sides

ax = 9x + 76              Divide by a

x = (9x + 76)/a

Answer:

D

The y-intercepts of the two functions are opposites.

Step-by-step explanation:

f(x) = 3x-4  which has a slope of 3 and a y intercept of -4

g(x)

m = (5-4)/(3-0) = 1/3

g(x) = 1/3 x +4

g(x) has a slope of 1/3 and a y intercept of 4

DCB form a right angle which is 90 degrees.

The two inside angles need to equal 90

ACB = 90-65 = 25

Answer: 25

Answer:

25

Step-by-step explanation:

its correct

Answer:

0.36

Step-by-step explanation:

To find the probability, just multiply.

probability of red candy * probability of pink cookie

0.9*0.4=0.36

I hope this helps!

Answer:

[tex] \large{ \tt{❃ \: S \: O \: L \: U \: T \: I \: O \: N \:❃ }}[/tex]

[tex] \large{ \tt{❊ \: S \: T \: E \: P \: S \: ❊}}[/tex]

[tex] \huge{ \tt{ \: \frac{4 \sqrt{6} }{5 \sqrt{3} } = \frac{4 \: \cancel{ \sqrt{6}} \: ^{\sqrt{2}} }{5 \: \cancel{\sqrt{3} }} }} = \: \boxed{\frac{4 \sqrt{2} }{5} }[/tex]

[tex] \large{ \boxed{ \boxed{ \tt{⤻ \: OUR \: FINAL \: ANSWER : \boxed{ \tt{ \frac{4 \sqrt{2} }{5}}}}}}} [/tex]

- Hope this helps! Let me know if you have any questions regarding my answer and don't hesitate to reach out to me if you need any other help! :)

Answer:

D) y - 4 = -2 ( x - 1 )

Step-by-step explanation:

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

so you just plug in your points, hope this helped

Answer:

D

Step-by-step explanation:

The slope of the line is - 1/4. The equation of the line is y=(-1/4x)+5

Answer:

32 female - 23 right-handed || 9 left-handed

22 male - 18 right handed || 4 left handed

Step-by-step explanation:

I find it easiest to write all the information out and fill the gaps.

From what we're given, 32 employees are female, that means 22 are male, as 54 - 32 = 22.

We are also given that there are 41 right-handed employees, which means there is 13 left-handed employees by subtraction.

If 18 of the right-handed employees are male, then 23 of them are female, and  4 are left-handed males.

If 23 of the female employees are right-handed, then 9 female employees are left-handed.

It's quite simple if you write everything out :D

Answer:

10

Step-by-step explanation:

Vertical angles are equal to each other

-2x + 90 = x - 30

90 + 30 = x + 2x add like terms

120 = 3x divide both sides by 3

40 = x

angle <ZD is x - 30 so the answer is 10

Answer:

an obtuse angle is an angle that is more than 90 degrees

Step-by-step explanation:

Answer:

$8

Step-by-step explanation:

$96 divided by 12

Answer:

OPTION A AND B.

AS OPTION A IS 3/5=6/10=60%

Option C=60/100=60%

Answer:

the first and the last option

Step-by-step explanation:

In the first option 3/5 of the rectangle are filled in. if you divide 3 by 5, you will get 0.6, which when converted in to percent is equal to 60%

3/5 = 0.6

0.6 = 60%

*to convert decimals into percent, you just have to move the decimal point 2 places to the right and add the present sign*

in the second option 5 out of the 10 rectangles inside the square are filled in. that means that 5/10 of the square are filled in, the model shows 50%

5/10 = 1/2 = 0.5 = 50%

in the third model 6 out of the 10 rows in the square are filled in. that means that 6/10 of the square are filled in which is equal to 60%

6/10 = 0.6 = 60%

hope this helps! if you have any questions, let me know!

Answer:

123

Step-by-step explanation:

We can square and cube the equation, then multiply the results together.

(a + [tex]\frac{1}{a}[/tex]) = 3 ← square both sides

a² + 2 + [tex]\frac{1}{a^2}[/tex] = 9 ( subtract 2 from both sides )

a² + [tex]\frac{1}{a^2}[/tex] = 7 → (1)

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

Now cube both sides

a³ + [tex]\frac{1}{a^3}[/tex] + 3(a + [tex]\frac{1}{a}[/tex]) = 27

a³ + [tex]\frac{1}{a^3}[/tex] + 3(3) = 27

a³ + [tex]\frac{1}{a^3}[/tex] + 9 = 27 ( subtract 9 from both sides )

a³ + [tex]\frac{1}{a^3}[/tex] = 18 → (2)

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

Multiply (1) and (2)

(a² + [tex]\frac{1}{a^2}[/tex] )(a³ + [tex]\frac{1}{a^3}[/tex] ) = 7(18)

[tex]a^{5}[/tex]  + ( [tex]\frac{1}{a}[/tex] + a) + [tex]\frac{1}{a^5}[/tex] = 126

[tex]a^{5}[/tex] + 3 + [tex]\frac{1}{a^5}[/tex] = 126 ( subtract 3 from both sides )

[tex]a^{5}[/tex] + [tex]\frac{1}{a^5}[/tex] = 123

Answer:

1. 12 + x = 20        2. x + 8 = 4x + 6

Step-by-step explanation:

problem 1 :      

12 + x = 20

problem 2:

x + 8 = 4x + 6

Answer:

4pi

Step-by-step explanati

Answer:

1/2

Step-by-step explanation:

Total number of cards in a normal pack = 52

Red cards in a pack = 26

Probability of getting a red card = 26/52

or 1/2 (simplest form)

Step-by-step explanation:

the measure of the segment YZ

[tex] \sin(30) = \frac{yz}{50} \\ yz = 50 \times \sin(30) = 25[/tex]

YZ= 25 m

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

D.

area of triangle = 1/2 × base × height

therefore,

1/2× 9× 13= 58.5in^2

The area of the triangle with a base of 9 inches and height of 13 inches  is 58.5in^2

We have given that,9 in,16 in, and 13 in

Drawing not to scale

We have given that the triangle

area of triangle = 1/2 × base × height

therefore,

Use the given value in the formula so we get

[tex]1/2\times 9 \times 13= 58.5in^2[/tex]

Therefore the area of the triangle is 58.5in^2.

To learn more about the triangle visit:

https://brainly.com/question/17335144

#SPJ2

hi

so 3X = 18

      X = 18/3 = 6

8m+4m-6m-12

12m-6m-12

12m-6m

-6m

Answer:

answered by g a u t h m a t h

Step-by-step explanation:

Answer:

x [tex]\geq -10\\[/tex]

Step-by-step explanation:

x[tex]x\geq -10[/tex]

Step-by-step explanation:

use cos since we're given the adjacent and asked to find the hypothenus.

cos 33° = 6/x

cross multiply

xcos33° = 6

divide both sides by cos 33°

(cos 33 is approximately 0.8387)

then x = 7.15

Answer:

[tex]x \approx 7.2[/tex]

Step-by-step explanation:

The given triangle is a right triangle this is indicated by the box around one of its angles, signifying that the angle is a right angle. One of the properties of a right triangle is the right angle trigonometric ratios. these are a series of ratios that relate the sides and angles of a right triangle. Such ratios are as follows:

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]

Please note that the sides named ([tex]opposite[/tex]) and ([tex]adjacent[/tex]) Are subjective and change based on the angle by which one refers to. However the side ([tex]hypotenuse[/tex]) indicates the side opposite the right angle, this side does not change its name.

In this case, one is given a (33) degree angle, and the measure of the side adjacent to is, (6). One is asked to find the measure of the hypotenuse (x). It would be most logical to use the ratio of cosine (cos). Substitute the given values in and solve for (x).

[tex]cos(\theta)=\frac{adjacent}{hypotenuse}[/tex]

[tex]cos(33)=\frac{6}{hypotenuse}[/tex]

Inverse operations,

[tex]cos(33)=\frac{6}{hypotenuse}[/tex]

[tex]hypotenuse=\frac{6}{cos(33)}[/tex]

[tex]hypotenuse \approx 7.15[/tex]

Answer:

the correct answer is 16ft^2

Answer:

She will get more money than what she will get in the question

Answer:

C. $1,260

Step-by-step explanation:

80 × 14.5 = 1,160

2,500 × 0.04 = 100

Answer:

C. $1260

Step-by-step explanation: