What is the value of cd in the equation 32cd=11cd-42?

a. -1/2
b. 1/2
c. 2
d. -2

Answers

Answer 1

Answer:

d

Step-by-step explanation:

Given

32cd = 11cd - 42 ( subtract 11cd from both sides )

21cd = - 42 ( divide both sides by 21 )

cd = - 2 → d

Answer 2
32cd = 11 cd − 42 : Subtract 11cd from both sides.

32cd = 11cd − 42
-11cd − 11cd
21c = −42

Divide both sides by 21.
21cd /21 = −42/21

cd = −2

Related Questions

PLS help ASAP for math! will give you a brainlist or 5-star rating

Answers

Answer should be H cause there’s 1/6 total and you are splitting half with 3 friends

I need with the volume!!!

Answers

Answer:

Tim read 81 pages.

Step-by-step explanation:

If he read 3 pages on Monday and tripled the amount of pages he red based of off the amount of pages he read the previous day, he would have read 3 pages on Monday, 9 pages on Tuesday, 27 pages on Wednesday, and 81 pages on Thursday.

Monday: 3

Tuesday: 3 x 3 = 9

Wednesday: 9 x 3 = 27

Thursday: 27 x 3 = 81

I hope this helps you! :D

Srekar needs to increase the size of the prism below by 2 inches on each side. The original prism has a length of 3, a depth of 2, and a height of 1.

A prism has a length of 3, height of 1, and width of 2.

Which statements about the new prism are true? Check all that apply.
The new prism will have a length of 5 because 3 + 2 = 5.
The new prism will have a depth of 4 because 2 + 2 = 4.
The new prism will have a height of 2 because 1 times 2 = 2.
The volume will increase by 6 because 2 times 3 = 6 and each of the 3 dimensions is increased by 2.
Srekar could increase the volume by the same amount by just adding 6 to the height instead of 2 to each side.
The volume of the new prism will be 20 times 3 = 60 because there will be 20 cubes in each layer and the height will be 3 so there will be 3 layers of 20 cubes each.

I'm questioning if it is A, B, and F

Answers

Answer:

Yes, A,B, and F is correct

Step-by-step explanation:

-- Gage Millar, Algebra 2 Tutor

HELP ME IM STUCK PLEASE QUICK

Answers

Answer:

C) 24>x

Step-by-step explanation:

The inequality is just turned around. 24>x is thw same thing as x<24.

Hope this helped :)

Answer:

D

Step-by-step explanation:

x+3≥12

<=> x≥8

so 8 is less than x

x is less than 24 means 24>8 but in this case we must follow a model so x is less than 24 can be write 24≥x (read x is less than 24 or is equal to 24)

Which triangle makes this statement true?

Answers

Answer:

A.

Step-by-step explanation:

i pretty sure

Triangle PQR is similar to triangle DEF as shown.*

A.
B.
D.
C.

Answers

B is the correct answer

CAN YALL HELP IM IN CLASSS PLEASE

Answers

61.36 U.S. dollars is the answer

Ms. Benton drew a right angle and split it into 2 angles. one of the labels inside was labeled 5x and the other angle was labeled 4x. what does x equal?
Answer choices:

10°
15°
20°
please help

Answers

Answer:

B-10⁰

Step-by-step explanation:

5 x 10 is 50, 4 x 10 is 40, add those and you get 90⁰

The improper fraction to a mixed number

Answers

Answer:

5 2/3

Step-by-step explanation:

:)

it would be A. 5 and 2/3

brainliest..

Point M is the midpoint of AB.
If AM = 12x + 8 and MB = 10x + 15, then AM = ?

Answers

Answer:

AM = 50

Step-by-step explanation:

12x + 8 = 10x + 15

subtract 10x from both sides

2x + 8 = 15

subtract 8 from both sides

2x = 7

divide both sides by 2

x = 3.5

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

AM = 12x + 8

AM = 12(3.5) + 8

AM = 42 + 8

AM = 50

The volume of a cone is 800/3 π cubic yards. The height is 8 yards. Find the radius.

Answers

Answer:

ur mom

Step-by-step explanation:

there is none, it's just simply ur mom

- hope that solved ur problem :)

- Im ur dad btw

- Mac and cheese is pretty good 10/10

- DADDY

Write an equation in slope-intercept form for the line that is parallel to the line 6x + 2y = 2 and passes through the point
(-1, 7).

Answers

Answer:

[tex]y=-3x+4[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines have the same slope (m) and different y-intercepts (b)

1) Determine the slope (m)

[tex]6x+2y=2[/tex]

Rearrange this equation in slope-intercept form (so it's easier for us to identify the slope)

Subtract 6x from both sides to isolate 2y

[tex]6x+2y-6x=-6x+2\\2y=-6x+2[/tex]

Divide both sides by 2 to isolate y

[tex]y=-3x+1[/tex]

Now, we can tell clearly that -3 is in the place of m. Therefore, because parallel lines have the same slope, we know that the line we're solving for will also have a slope of -3. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-3x+b[/tex]

2) Determine the y-intercept

[tex]y=-3x+b[/tex]

Plug in the given point (-1,7)

[tex]7=-3(-1)+b\\7=3+b[/tex]

Subtract 3 from both sides

[tex]7-3=3+b-3\\4=b[/tex]

Therefore, the y-intercept of the line is 4. Plug this back into [tex]y=-3x+b[/tex]:

[tex]y=-3x+4[/tex]

I hope this helps!

help me please no links

Answers

Answer:

6

Step-by-step explanation:

the top and the bottom line on the squares and with the top and the bottom line on both of the arrows

The required number of lines of symmetry the given figure holds is 2.

What is the line of symmetry?

A line of symmetry is a line that divides a shape into two mirror images that are identical to each other. If a shape has a line of symmetry, it means that one-half of the shape is a reflection of the other half across the line of symmetry.

For example, a square has four lines of symmetry, because it can be divided into four identical mirror images. A rectangle has two lines of symmetry, one horizontal and one vertical because it can be divided into two identical mirror images.

Following the above example, in the given scenario, the figure has only 2 lines of symmetry.

Learn more about the line of symmetry here:

https://brainly.com/question/30963765

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Is 8 a solution to 48 < 4x?
plz need answers quickly

Answers

Answer:

No

Step-by-step explanation:

We need to tell that whether 8 satisfies the given inequality. The inequality is ,

[tex]:\implies[/tex] 48 < 4x

now substitute x 12 is equal to 8 and check whether if it satisfies the given inequality.

Putting x = 8

[tex]:\implies[/tex] 48 < 4x

[tex]:\implies[/tex] 48 < 4 * 8

[tex]:\implies[/tex] 48 < 32

this is not possible as 48 is greater than 32. x is equal to 8 is not a solution of the given inequality .

No it is not a solution .

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{48 < 4x}[/tex]

[tex]\large\textsf{TURN the given EQUATION}[/tex]

[tex]\mathsf{4x > 48}[/tex]

[tex]\large\textsf{DIVIDE 4 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{4x}{4}>\dfrac{48}{4}}[/tex]

[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{4}{4}}\large\textsf{ because that gives you 1}[/tex]

[tex]\large\textsf{KEEP: }\mathsf{\dfrac{48}{4}}\large\textsf{ because it helps us compare to the x value.}[/tex]

[tex]\mathsf{x >\dfrac{48}{4}}[/tex]

[tex]\mathsf{\dfrac{48}{4}}\\\\\mathsf{= 48\div4}\\\\\mathsf{\boxed{\bf = 12}}[/tex]

[tex]\boxed{\mathsf{x > 12}}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \bf NO, because }\mathsf{\bf x < 12}\large\text{ \bf \& it is an O.P.E.N. circle shaded}}}\\\boxed{\boxed{\large\text{\bf the right}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

PLEASE HELP!!!!!!!!!!

Answers

[tex]115 = l \times 2.5 \times 5.75[/tex]

[tex] \huge \mathrm{Answer࿐}[/tex]

given :

[tex]\longmapsto[/tex] volume = 115 yd³

Dimensions are :

[tex] 2\frac{1}{2} yd [/tex]

[tex] 5\frac{3}{4} yd [/tex]

L

We know,

[tex] \large \boxed{ \mathrm{volume = l \times b \times h}}[/tex]

[tex]115 = 2\frac{1}{2} \times 5\frac{3}{4} \times l[/tex]

[tex]l \times \dfrac{5}{2} \times \dfrac{23}{4} = 115[/tex]

[tex]l \times \dfrac{115}{8} = 115[/tex]

[tex]l = 115 \times \dfrac{8}{115} [/tex]

[tex]l = 8 \: yd[/tex]

Therefore Length of the prism is 8 yards.

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

A life guard in a tower 20 ft above sea level spots a struggling surfer at an angle of depression of 15 . How far is the surfer from the base of the tower?

Answers

Answer: [tex]19.31\ ft[/tex]

Step-by-step explanation:

Given

The tower is at a height of [tex]h=20\ ft[/tex]

the angle of depression is [tex]15^{\circ}[/tex]

Suppose the surfer is x ft away from the base of the tower

[tex]\therefore \text{From the figure, we can write}\\\\\Rightarrow \cos 15^{\circ}=\dfrac{x}{h}\\\\\Rightarrow x=h\cos 15^{\circ}\\\Rightarrow x=20\cos 15^{\circ}\\\Rightarrow x=19.31\ ft[/tex]

Therefore, the surfer is at a distance of 19.31 ft from the base of the tower.

I’ll give brainlist if correct but no links or I’ll report it

Answers

Answer:

one solution (-10, -2)

Step-by-step explanation:

i used desmos :)

What which is equivalent to√x10?

Answers

Answer:

E)  x^5

Step-by-step explanation:

example, [tex]\sqrt{3}[/tex] = 3^1/2 where '1' is the coefficient of 3

[tex]\sqrt{3}[/tex] is the same as [tex]\sqrt[2]{3}[/tex] (it's assumed to be 2 unless another number is there)

so, √x^10 is the same as x^(10/2) which is x^5

(4x2 - X - 5) + (6x2 + x)

Answers

Answer:

10x2 - 5 (the 2 has to be small too.)

Deshawn and Chris are playing soccer. Chris takes a shot on goal from 25 feet away. Deshawn can reach the top of the 8-ft goal when standing. The function that models the height of the ball across the field is ()=−.(−)+f of , open x close , equals negative , 0.05 . Open x minus 16 close squared . Plus 11.

Answers

Answer:

Yes, Chris will score

Step-by-step explanation:

Given the function :

F(x) = - 0.05(x - 16)² + 11

Distance from goal = 25

Height of goal = 8

Scoring condition, if ball isn't blocked :

If the ball travels a distance of 25 feets towards goal and elevation of ball isn't greater than 8 feets, then Chris will score ;

Function which models ball height with respect to distance, x

Put x = 25 in the equation and se if f(x) < 8 feets

F(25) = - 0.05(25 - 16)² + 11

F(25) = - 0.05(9)² + 11

F(25) = - 0.05 * 81 + 11

F(25) = - 4.05 + 11

F(25) = 6.95 feets

Hence, Chris would score if ball isn't vlaocjed by DeShawn because the height of ball is lower than the height of the goal.

I will give brainiest

Answers

Answer:

there should be 4 points below the trend line

Step-by-step explanation:

4

A group of 20 people are going to run a race. The top three runners earn gold, silver, and bronze medals. How many outcomes are possible for these awards?

Answers

Answer:

There are 6,840 possible outcomes for these awards.

Step-by-step explanation:

Given that a group of 20 people are going to run a race, and the top three runners earn gold, silver, and bronze medals, to determine how many outcomes are possible for these awards, the following calculation must be performed:

20 x 19 x 18 = X

380 x 18 = X

6.840 = X

Therefore, there are 6,840 possible outcomes for these awards.

Total outcomes that are possible for these awards are 6840 outcomes, calculated using permutation.

Total number of people=20

what is the difference between permutation and combination?

permutation means the arrangement of items while the combination is all about the selection of some out of many.

let us say start with the gold medal

no of ways a gold medal can be given = ²⁰C₁ = 20

Now, the number of people left is 19

no of ways a silver medal can be given = ¹⁹C₁ = 19

Now, the number of people left is 18

no of ways a bronze medal can be given = ¹⁸C₁ = 18

possibility of total outcomes=20*19*18 = 6840ways

Therefore, total outcomes that are possible for these awards=6840

to get more about permutations and combinations refer to the link,

https://brainly.com/question/4658834

Figure ABCD is a parallelogram.
What is the perimeter of ABCD?
A
4y - 2
B
14 units
38 units
ОООО
44 units
3x - 1
2x + 2
49 units
D
С
2y + 6

Answers

The perimeter is 44 unit

1/5 - 2x ≥ -4
Solve for X.

Answers

Answer:

x≤21/10

Step-by-step explanation:

[tex] \frac{1}{5} - 2x \geqslant - 4 \\ - 2x \geqslant - 4 - \frac{1}{5 } \\ 2x \leqslant 4 + \frac{1}{5} \\ 2x \leqslant \frac{21}{5} \\ x \leqslant \frac{21}{10} [/tex]

What is the MEAN of the following data set: 4, 5, 6, 7, 3, 4, 10, 1

Answers

Answer:

5

Step-by-step explanation:

you add up all the numbers, then divide but how many numbers there are:

all add up to 40, divide the 40 by 8 to get 5

Answer:

5 is the mean

Step-by-step explanation:

First, add everything together.

4 + 5 + 6 + 7 + 3 + 4 + 10 + 1 = 40

Then, divide by 8

40 ÷ 8 = 5

Have a great day! :)

The curve
[tex]y = \sqrt{x - 3} [/tex]
has a tangent with gradient
[tex] \frac{1}{2} [/tex]
at point N.
Find the coordinates of N.​

Answers

Answer:

Point N(4, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Coordinates (x, y)FunctionsFunction NotationTerms/CoefficientsAnything to the 0th power is 1Exponential Rule [Rewrite]:                                                                              [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex] Exponential Rule [Root Rewrite]:                                                                     [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]:                                                                                    [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle y = \sqrt{x - 3}[/tex]

[tex]\displaystyle y' = \frac{1}{2}[/tex]

Step 2: Differentiate

[Function] Rewrite [Exponential Rule - Root Rewrite]:                                   [tex]\displaystyle y = (x - 3)^{\frac{1}{2}}[/tex]Chain Rule:                                                                                                        [tex]\displaystyle y' = \frac{d}{dx}[(x - 3)^{\frac{1}{2}}] \cdot \frac{d}{dx}[x - 3][/tex]Basic Power Rule:                                                                                             [tex]\displaystyle y' = \frac{1}{2}(x - 3)^{\frac{1}{2} - 1} \cdot (1 \cdot x^{1 - 1} - 0)[/tex]Simplify:                                                                                                             [tex]\displaystyle y' = \frac{1}{2}(x - 3)^{-\frac{1}{2}} \cdot 1[/tex]Multiply:                                                                                                             [tex]\displaystyle y' = \frac{1}{2}(x - 3)^{-\frac{1}{2}}[/tex][Derivative] Rewrite [Exponential Rule - Rewrite]:                                          [tex]\displaystyle y' = \frac{1}{2(x - 3)^{\frac{1}{2}}}[/tex][Derivative] Rewrite [Exponential Rule - Root Rewrite]:                                 [tex]\displaystyle y' = \frac{1}{2\sqrt{x - 3}}[/tex]

Step 3: Solve

Find coordinates

x-coordinate

Substitute in y' [Derivative]:                                                                             [tex]\displaystyle \frac{1}{2} = \frac{1}{2\sqrt{x - 3}}[/tex][Multiplication Property of Equality] Multiply 2 on both sides:                      [tex]\displaystyle 1 = \frac{1}{\sqrt{x - 3}}[/tex][Multiplication Property of Equality] Multiply √(x - 3) on both sides:            [tex]\displaystyle \sqrt{x - 3} = 1[/tex][Equality Property] Square both sides:                                                           [tex]\displaystyle x - 3 = 1[/tex][Addition Property of Equality] Add 3 on both sides:                                    [tex]\displaystyle x = 4[/tex]

y-coordinate

Substitute in x [Function]:                                                                                [tex]\displaystyle y = \sqrt{4 - 3}[/tex][√Radical] Subtract:                                                                                          [tex]\displaystyle y = \sqrt{1}[/tex][√Radical] Evaluate:                                                                                         [tex]\displaystyle y = 1[/tex]

∴ Coordinates of Point N is (4, 1).

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

Type the missing number that makes these fractions equal: 4/?=8/14

Answers

Answer:

4/7 = 8/14

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

[tex]\frac{4}{x} =\frac{8}{14} \\[/tex]

cross multiply

8x = 14 x 4

8x = 56

x = 7

Find the measure of angle 1
HELP

Answers

Answer:

75°

Step-by-step explanation:

The chord- chord angle is half the sum of of the arcs intercepted by the angle and its vertical angle, then

∠ 1 = [tex]\frac{1}{2}[/tex] (110 + 40)° = 0.5 × 150° = 75°

A quilt is made of 15 red squares and 35 blue squares. Find the ratio, in lowest terms of:


Someone help pls :D

Answers

eeeeeeeeeeeeeeeeeeeee

The ratio of red squares to blue squares is 3 : 7

The ratio of blue squares to total squares is 7 : 10

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

The number of red squares = 15

The number of blue squares = 35

Now , the total number of squares is N = 50 squares

a)

The ratio of red squares to blue squares is = number of red squares / number of blue squares

The ratio of red squares to blue squares is = 15 / 35

The ratio of red squares to blue squares is = 3 : 7

b)

The ratio of blue squares to total squares is = number of blue squares / total number of squares

The ratio of blue squares to total squares is = 7 : 10

Hence , the proportion is solved

To learn more about proportion click :

https://brainly.com/question/7096655

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The complete question is :

A quilt is made of 15 red squares and 35 blue squares. Find the ratio, in lowest terms of:

a) The ratio of red squares to blue squares

b) The ratio of blue squares to total squares

hii! please help asap. i’ll give brainliest

Answers

Answer:

4

Step-by-step explanation:

Answer:

last one

Step-by-step explanation:

it has 15.95 and only 1 16.00 :D

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