3(2x+d)+c(x+5)=10x+17 find c and d

Answers

Answer 1

Answer:

c = 4, d = - 1

Step-by-step explanation:

Expand and simplify left side, then compare coefficients of like terms on the right side, that is

3(2x + d) + c(x + 5) ← distribute parenthesis

6x + 3d + cx + 5c

= x(6 + c) + 3d + 5c

Compare terms with those on the right side

coefficients of x- terms

6 + c = 10 ( subtract 6 from both sides )

c = 4

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

constant terms

3d + 5c = 17, that is

3d + 5(4) = 17

3d + 20 = 17 ( subtract 20 from both sides )

3d = - 3 ( divide both sides by 3 )

d = - 1

Answer 2

The value of c and d if 3(2x+d)+c(x+5)=10x+17  is 4 and -1 respectively

Given the equation:

3(2x+d)+c(x+5)=10x+17

Expand the bracket

6x + 3d + cx + 5c = 10x + 17

Collect the like terms

6x+cx + 3d + 5c = 10x + 17

x(6+c) + 3d + 5c = 10x + 17

Compare the coefficients of x on both sides

x(6+c) = 10x

6+c = 10

c = 10 - 6

c = 4

Similarly:

3d + 5c = 17

3d + 5(4) = 17

3d + 20 = 17

3d = 17 - 20

3d = -3

d =-3/3

d = -1

Hence the value of c and d if 3(2x+d)+c(x+5)=10x+17  is 4 and -1 respectively

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Related Questions

Justin made 6 pounds of granola to sell at his community fair. He charges $6.35 for each 23-pound bag of granola.
How much money will Justin earn if he sells all of the granola?

Answers

Answer: 38.1$

Step-by-step explanation:

Answer:

About $24.34

Step-by-step explanation:

if you do 23 divided by 6 you get 3.8333333 then you do 3.83333333 times 6.35 and you get about $24.34.

2. Which expression is equivalent to 11-4x118?
A.
121-32
B.
11-32
C.
114
D.
1214

Answers

The answer to your question is C, 11^4

The top of a building is a cone 10 meters tall with a radius of 4 meters at the base. Round to the nearest hundredth.

Answers

Answer:

V = 167.55 m³

Step-by-step explanation:

Given that,

The height of a cone, h = 10 m

Radius of the cone, r = 4 m

It can be assumed to find the volume of the cone. Th formula for the volume of a cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2 h\\\\V=\dfrac{1}{3}\pi \times (4)^2\times 10\\\\V=167.55\ m^3[/tex]

So, the required volume is 167.55 m³.

What does it mean to reason mathematically?

Answers

uhhh giving evidence using mathematical equations/terminology
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You respect math

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a model plane has a scale of 1 in: 2 ft. if the real plane is 12 ft tall then how tall is the model plane.

Answers

Answer:

6ft tall

Step-by-step explanation:

Given we know that the scale is 1 in 2ft.

Using this information we know we could divide 12/2=6. We also know that we could multiply 2×6=12. Therefore, we know that the model plane is 6ft tall.

I hope this helps!

Your close, it wouldn’t be 6 ft it would be 6 inches, I know that is just a misread but I thought I would clarify.

Keylina used 8 cups of chocolate chips to make 4 batches of muffins. Which of the following rates represent the cups of chocolate chips per batch of muffins?

Answers

2 cup per batch.

8 ÷ 4 = 2

(-3,-4)&(-2,-8)

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Answers

Answer:

Step-by-step explanation:

Givens

y2 = - 4

y1 = - 8

x2 = - 3

x1 = - 2

==========

Equation

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

m = (-4 - - 8) / (-3 - - 2)

m = 4 / - 1

m = - 4

Answer:

(1, -4)

Step-by-step explanation:

(-3, -4) >> (x1, y1)

(-2, -8) >> (x2, y2)

(y2 - y1)           -8 - (-4) = -4

----------- >>>

(x2 - x1)           -2 - (-3) = 1

x always goes first in a coordinate, so

(1, -4)

Hope this helped ;)

If point (7.b) is in Quadrant I and point (a.--3)
is in Quadrant III, in which Quadrant is the point
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Answers

The point (a,b) would be in quadrant 2 (the one on the top left)

Answer:

II

Step-by-step explanation:

In Quad I b(y) is positive and in Quad III a(x) is negative so (-,+)

x is negative and y is positive in Quadrant II

Mhanifa please help I will mark brainliest!

Answers

The second picture. I think its A.

Parallel lines problem:

Parallel lines have the same slope, so the answer should give a pair of lines whose slope is equal to that of line m, i.e., 2/3.

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Congruent triangles problem:

Segment ZX and angle Y would be congruent to segment SQ and R, respectively, so the correct answer for the second image would be a.

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Answers

Answer:

9

Step-by-step explanation:

because the paragraph is telling you 9 of the 18 customers want mustard on their hot dog so the paragraph is telling you de answer

Answer:

57

Step-by-step explanation:

First, write the experimental probability as a fraction in simplest form.

P(mustard)

=

mustard

total

=

mustard

mustard+other

=

30

30+10

=

30

40

=

3

4

The experimental probability is

3

4

.

We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.

3

4

=

n

76

3

4

(476)

=

n

76

(476) Multiply both sides by (476)

376

= 4n Simplify

228

= 4n Simplify

57

= n Divide both sides by 4

You would expect 57 of the next 76 customers to want mustard.

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Answers

Answer:

I think the answer to X = 11.

Step-by-step explanation:

X - 2 = 9, correct?

11 - 2 = 9.

I hope this can help! Please correct me

if i got it wrong. :D

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Answers

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Answers

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Answer:

30 degree's

Step-by-step explanation:

Becuase the rule is GFH(2)+EFH

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Answers

Answer:

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Answers

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Step-by-step explanation:

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Answers

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Roberta earns $262.50 per week. She works 30 hours per week. How much does she earn per hour

Answers

Answer:

292.5

Step-by-step explanation:

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Answers

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Answers

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Answers

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Step-by-step explanation:

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How would you simplify the expression represented by the diagram below? Four figures. The first consists of 4 squares each labeled 1. The second consists of 2 rectangles each labeled c. The third consists of 2 squares each labeled 1. The fourth consists of one rectangle labeled c.

Answers

Based on the description of the diagram, we get simplified  expression is 6 + 3c.

Describe Algebraic Expression?

An algebraic expression is a mathematical phrase that consists of variables, constants, and arithmetic operations (such as addition, subtraction, multiplication, and division), as well as exponentiation and roots. These expressions are used to represent mathematical relationships and formulas in a concise and standardized way.

Based on the description of the diagram, we can simplify the expression as follows:

There are 4 squares labeled 1, so their total value is 4.

There are 2 rectangles labeled c, so their total value is 2c.

There are 2 squares labeled 1, so their total value is 2.

There is 1 rectangle labeled c, so its value is c.

Therefore, the expression represented by the diagram simplifies to:

4 + 2c + 2 + c

6 + 3c

So the simplified expression is:

6 + 3c.

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

PMark for Review
5 The Raven Club sold tickets to the local fall festival. On day one, they sold 50 child tickets and 75 adult
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Answers

Answer:

Y = 6

Step-by-step explanation:

On the first day of ticket sales the school sold 3 adult ticket and 8 student tickets for a total of $72. The school took in $152 on the second day by selling 7 adult tickets and 16 student tickets. How much is a student ticket?  

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This becomes a system of equations.

3x+8y=72

3x+8y+−8y=72+−8y (Add -8y to both sides)

3x=−8y+72

3x/3 =  −(8y+72)/3

X = (-8/3) y + 24

Substitute  (-8/3) y + 24 for x in7x+16y=152:

7(-8/3 y + 24) + 16y = 152

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Anyone can help me with this math question?

Answers

Answer:

1,890 feet

Step-by-step explanation:

2 inches=30 feet

4.2 inches= 63 feet

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What is the difference in length between the longest meteor and the shortest meteor?

Thanks! Hope your right! Hope you have a great day

Answers

1 5/8
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Answers

3?
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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

To find the mean, you add all the numbers together, then divide that number by the amount of numbers there were, so:

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