10
11 5(2x + 1) + c(x + d) = 12x - 1
Work out the value of c and the value of d.

Answers

Answer 1

Answer:

c = 2, d = - 3

Step-by-step explanation:

Expand and simplify the left side then compare the coefficients of like terms on both sides.

5(2x + 1) + c(x + d) ← distribute parenthesis

10x + 5 + cx + cd

= x(10 + c) + 5 + cd

Compare like terms on both sides, that is

10 + c = 12 ( subtract 10 from both sides )

c = 2

Then

5 + cd = 5 + 2d and

5 + 2d = - 1 ( subtract 5 from both sides )

2d = - 6 ( divide both sides by 2 )

d = - 3


Related Questions

Does anyone know the answer?

Answers

Answer:

d = 9

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to 3

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, 6) and (x₂, y₂ ) = (d, 21)

m = [tex]\frac{21-6}{d-4}[/tex] , that is

[tex]\frac{15}{d-4}[/tex] = 3 ← multiply both sides by d - 4

15 = 3(d - 4)

15 = 3d - 12 ( add 12 to both sides )

27 = 3d ( divide both sides by 3 )

9 = d , that is

d = 9

Is this correct? HELP NOW PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

from my understanding of math, yes

Step-by-step explanation:

help please I need to pass

Answers

Answer:

A. 7.3x + 9.6y +3.4z

hope this answer helps you.....

Answer:

B

Step-by-step explanation:

I hope what I've written helps yyou.

What is the value of the expression (-3) + (-6)​

Answers

Answer:

-9

Step-by-step explanation:

Mr. Correa’s financial planner says his net worth is $94,520.00. Using the table, below determine which of the following statements is true.

Answers

Answer:

Yes, because the sum of his assets is $125,480 and the sum of his liabilities is $20,960.

Step-by-step explanation:

Parallelograms..help please haha

Answers

Answer:

x = 12

Step-by-step explanation:

EC = 1/2AC

Double EC

4x + 22 = 8x - 14

subtract 4x and add 14

36 = 4x

divide by 4

12 = x

HELPPPPPPPPPP :))))))))))

Answers

Answer:

C

Hope that helps!

Step-by-step explanation:

Thomas has 12 more marbles than twice the number of marbles Andrew has. Andrew has x marbles. Which expression represents how many marbles Thomas has?

Answers

Answer:

2x + 12

Step-by-step explanation:

Let

x = number of marbles Andrew has

Number of marbles Thomas has = 2x + 12

The expression which represents number of marbles Thomas has = 2x + 12

If Andrew has 2 marbles, that is, x = 2

Then, 2x + 12 = 2(2) + 12

= 4 + 12 = 16

Thomas = 16 marbles

If total employee benefits are calculated as a percentage of their gross pay, which of the following employees receives the largest percentage of their gross pay in employee benefits?
a.
Employee A: gross pay $32,600 , total job benefits $33,600
b.
Employee B: gross pay $32,900 , total job benefits $34,000
c.
Employee C: gross pay $33,400 , total job benefits $33,900
d.
Employee D: gross pay $33,700 , total job benefits $34,700



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

B

Step-by-step explanation:

Answer:

Its A, "Employee A: gross pay $32,600 , total job benefits" $33,600

Step-by-step explanation:

(as of 2023)

Jesse is making fruit salad. She purchased 5 & 1/3 ounces of 6 different fruits. How many ounces of fruit did she purchase?

Answers

Answer:

32 ounces of fruits

Step-by-step explanation:

Given that :

Number of distinct fruits purcahed = 6

Number of ounces of each fruit = 5 1/3

The total ounces of fruits purchased :

(Number of distinct fruits purchased * Number of ounces of each fruit)

6 * 5 1/3 = 6 * 16/3

6 * 16/3 = (16 * 6) / 3 = 96 /3 = 32 ounces of fruits.

A serving size of Oreo cookies is 3 cookies, which is 20% of a box of cookies. How many cookies come in a box?

Answers

Answer:

no one eats oreos fatty

Step-by-step explanation:

The number of cookies that came inside the box is 15.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, A serving size of Oreo cookies is 3 cookies, which is  20% of a box of cookies.

Let 'x' be the number of cookies the box has.

Therefore 20% of 'x' is 3 which is,

(20/100)×x = 3.

0.2x = 3.

x = 3/0.2.

x = 15.

So, There are 25 cookies in the box.

learn more about percentages here :

https://brainly.com/question/24159063

#SPJ2

Determine whether the measures 2, √8, and √12 can be the measures of the sides of a triangle. If so, classify the triangle as acute, obtuse,
or right. Justify your answer.

Answers

Answer:

C

Step-by-step explanation:

First check if the triangle is right.

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side = [tex]\sqrt{12}[/tex] and ([tex]\sqrt{12}[/tex] )² = 12

2² + ([tex]\sqrt{8}[/tex] )² = 4 + 8 = 12

Thus the triangle is right → C

Answer:

C.

Step-by-step explanation:

Squaring the numbers we get 2^2 = 4, 8 and 12.

Lets look at the relation between  4 8 and 12:-

12 = 4 + 8

- so it obeys the Pythagoras theorem.

It is a right triangle and the answer is C.

Find SA? Help asp!!!!!

Answers

SA = GS

The values of SA is 8

a tree is sold based on the circumstances of the tree .if a tree has a radius of 4 inches then what is the circumference of the tree ​

Answers

Answer:

circumference =2πr

2x22/7x4

44/7x4

=176/7

=25.142857

please help besties omg

Answers

Answer:

i believe it would be (iii) DTQ

Step-by-step explanation:

if im correct can i has brainliest

Answer:

DTQ is you're answer

Step-by-step explanation:

can i ave brainly i can help more

Geometry - Law of Sines question #17. Please help, I am stuck.

Answers

By the law of sines, m∠EFG is such that

sin(m∠EFG) / (8 in.) = sin(m∠G) / (7.5 in)

so you need to find m∠G.

The interior angles to any triangle sum to 180°, so

m∠DEG = m∠D + m∠G + 43°

m∠DEG + m∠D + m∠G = 2 (m∠D + m∠G) + 43°

180° = 2 (m∠D + m∠G) + 43°

137° = 2 (m∠D + m∠G)

68.5° = m∠D + m∠G

But ∆DEG is isosceles, so m∠D = m∠G, which means

68.5° = 2 m∠G

34.25° = m∠G

Then

sin(m∠EFG) = (8 in.) sin(34.25°) / (7.5 in)

m∠EFG ≈ sin⁻¹(0.600325) ≈ 36.8932°

The square below represents one whole.
What percent is represented by the shaded area?
%

Answers

Answer:

77%

Step-by-step explanation:

The area of a right triangle is 3gh. Find the height if the base is 3gh.
Area of a triangle: A = 1/2bh

Answers

Answer: height is 2

Step-by-step explanation:

A = 1/2bh

A = 3; b (base) = 3. Substitute these values in the formula and solve.

3 = 1/2*3*h = 3/2 h

h = 3 * (2/3) = 2

Answer:

Height = 2

Step-by-Step Explanation:

So, I'm not sure if "gh" is a measurement. But I'm thinking it should be solved like this.

Area =  3gh

Base = 3gh

Height = ?

Plug & Chug

3gh = 1/2 (3gh)(h)

2/1 · 3gh = 1/2 (3gh)(h) · 2/1

[tex]\frac{(2)(3gh)}{(3gh)\\}[/tex] = [tex]\frac{(3gh)(h)}{(3gh)}[/tex]

h = [tex]\frac{(2)(3gh)}{(3gh)}[/tex]

h = 2

Apologies if this is wrong, but I hope this helped!

The speed of sound (shockwave) in an explosion is 100mph. How many seconds does the shockwave reach 2km away?​

Answers

Answer:

t = 44.73 s

Step-by-step explanation:

Given that,

The speed of a sound wave, v = 100 mph = 44.704 m/s

We need to find the time taken by the shockwave to reach 2 km i.e. 2000 m

We know that,

Speed = distance/time

So,

[tex]t=\dfrac{d}{v}\\\\t=\dfrac{2000}{44.704}\\\\t=44.73\ s[/tex]

So, it will take 44.73 seconds to reach 2 km.

Can you answer this pleaseeeeee

Answers

Answer:

c = 5n

Step-by-step explanation:

y = c

x = n

Points on the graph: (1,5) and (2, 10)

Slope:

m=(y2-y1)/(x2-x1)

m=(10-5)/(2-1)

m= 5

Slope-intercept:

y - y1 = m(x - x1)

y - 5 = 5(x - 1)

y - 5 = 5x - 5

y = 5x

c = 5n

En una muestra de 50 restaurantes de comida rápida, la venta media fue de $3.000, y la desviación estándar, $200. El intervalo de confianza del 95% es

Answers

Respuesta:

(2945.411; 3054.589)

Explicación paso a paso:

Dado ;

Tamaño de la muestra, n = 50

Media, xbar = 3000

Desviación estándar, s = 200

Nivel de confianza, Zcrítico al 95% = 1,96

El intervalo de confianza se define como:

Xbar ± margen de error

Margen de error = Zcrítico * s / sqrt (n)

Margen de error = 1,96 * 200 / sqrt (50)

Margen de error = 54.589

Límite inferior = (3000 - 54.589) = 2945.411

Límite superior = (3000 + 54.589) = 3054.589

(2945.411; 3054.589)

Work out the point of intersection of the lines
2x + 3y = 11 and 2y = 13 – 3x

Answers

Answer:

x = 3.4

y = 1.4

Step-by-step explanation:

2x + 3y = 11

2y = 13 – 3x, then y = (13 - 3x)/2

substitute for y:

2x + 3((13 - 3x)/2) = 11

reduce:

2x + (39 - 9x)/2 = 11

reduce:

2x + 19.5 - 4.5x = 11

subtract 19.5 from both sides of the equation and combine for x:

-2.5x = -8.5

divide both sides by -2.5:

x = 3.4

y = (13 - 3(3.4))/2 = (13 - 10.2)2 = 1.4

b r a i n l i s t to the first person to answer


A rectangle has an area of 1,280.64 square miles and a base of 36.8 miles. What is the height?

Answers

Answer:

34.8 miles

Step-by-step explanation:

First, we know that Area = Length * Width. Let's plug in those values.

1,280.64 = x * 36.8 (I put the variable "x" there since we don't know what it is)

Now, solve for x (we want to have x by itself, so divide both sides by 36.8)

34.8 = x

Now that we know that the width of it is 34.8 miles, let's check our work.

34.8 * 36.8 = 1,260.64

This equation IS true, so:

The width of the rectangle is 34.8 miles. Hope this helps!

Using the Histogram below, how many trees are between 150 cm and 200 cm tall?
Tree Heights
50
40
30
Trees
20
10
0
100 150 200 250 300 350
Height (cm)
5 trees
30 trees
50 trees
10 trees

Answers

The number of trees are between 150 cm and 200 cm tall is 30 trees.

It is required to find the number of trees are between 150 cm and 200 cm tall.

What is histogram?

A histogram is a graph that shows the frequency of numerical data using rectangles. It is used to summarize discrete or continuous data that are measured on an interval scale.

Given:

The histogram graph the number of trees are arranged in vertical direction or y -axis and height of trees are arranged in horizontal direction or x -axis.

According to given question we have,

The  number of trees are between 150 cm and 200 cm tall

=30

Therefore, the number of trees are between 150 cm and 200 cm tall is 30 trees.

Learn more about  histogram here:

brainly.com/question/22858996

#SPJ2

El conjunto de 10 centenas de mil es igual a _________ unidades El conjunto de 10 decenas de mil es igual a __________ unidades

Answers

Answer:

10 centenas de mil =  1000.000 unidades.

Step-by-step explanation:

Recordemos que 10 centenas es igual a 1000 unidades

Ahora, 10 centenas de mil seria un millon de unidades

Osea, 1000.000 unidades.

Espero te haya servido.

Anne wants to fill 12 hanging baskets with compost. Each hanging basket is a hemisphere of diameter 40 cm.

Anne has 4 bags of compost. There are 50 litres of compost In each bag. Has Anne got enough compost to fill the 12 hanging baskets?

Answers

Answer:

no

Step-by-step explanation:

Steps to answering this question

determine the volume of the 12 basket

volume of a hemisphere = (2/3)πr^3

n = 22/7

r = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

radius = 40/2 = 20 cm

volume of one hemisphere = (2/3) x (22/7) x (20^3) = 16,761.90 cm^3

volume of the 12 baskets = 16,761.90 cm^3 x 12 = 201,142.86 cm^

2. convert the litres of compost to cm and multiply by the total bags of compost

1 litre = 1000cm

1 bag of compost = 50 x 1000 = 50,000

4 bags of compost = 50,000 x 4 = 200,000 cm

3. compare which figure is higher. the figure gotten in step 1 or 2

201,142.86 cm^3 is greater than 200,000

there is no enough compost

473691.4

273691.4

Please solve this answer, ill literally get discord nitro if i do it

Answers

Answer:

(-3,4)

Step-by-step explanation:

270 degrees counterclockwise about the origin our point (x,y) becomes (y,-x)

F is at (-4,-3) so the new point F' is at (-3, - -4) or (-3,4)

What two numbers have a product of -72 and a sum of 1?

Answers

-7 and 8 because adding them gets you 1 and 8x7=72, but the -7 makes it -72

Step-by-step explanation:

-8 and 9

As 9 × (-8) = -72 and 9 + (-8) = 1

Hope my answer helps !

pls help with this !!

Answers

Answer:

25.12 so the nearest 10 is 25.10


What is the area of the parallelogram?

Answers

I got 78.66, is there an answer choice like that?

Answer:

78.66cm squared

Step-by-step explanation:

6.90 x 11.40

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