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3 years ago

Evaluate 1/4c+3d when c=6 and d=7

Mathematics

1 answer:

labwork [276]3 years ago

5 0

$\dfrac{1}{4}c+3d$

Put the values of c = 6 and d = 7 to the expression:

$\dfrac{1}{4}\cdot6+3\cdot7=\dfrac{1}{2}\cdot3+21=1.5+21=22.5$

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James determined that these two expressions were equivalent expressions using the values of x = 4 and x = 6. Which statements ar

GaryK [48]

Answer:

The expressions 7x + 4 and 3x + 5 + 4x = 1 are equivalent for every value of x.

Step-by-step explanation:

Expressions - 7x + 4 and 3x + 5 + 4x = 1.

1. When x = 2, both expressions have a value of 18. Let's find out:

1st expression : 7(2) + 4 = 14+4 = 18

2nd expression : 3(2) + 5 + 4(2) = 1

or 6 + 5 + 8 - 1 = 18

Values of both the expressions is 18, hence it is correct statement.

2.The expressions are only equivalent for x = 4 and x = 6.

This is incorrect statement as we just calculated above that the expressions are equivalent for x = 2. Hence, it is incorrect.

3. The expressions have equivalent values for any value of x.

Say, x = 0, then,

7x + 4 = 7 (0) + 4 = 4 and,

3x + 5 + 4x - 1 = 3(0) + 5 + 4(0) - 1 = 5-1 = 4

The statement holds.

Let's try again for x = 12,

7x + 4 = 7(12) + 4 = 88 and,

3x + 5 + 4x - 1 = 3(12) + 5 + 4(12) - 1 = 36 + 5 + 48 -1 = 88

Let's try again for x = 13,

7x + 4 = 7(13) + 4 = 95 and,

3x + 5 + 4x - 1 = 3(13) + 5 + 4(13) - 1 = 39 + 5 + 52 -1 = 95

Clearly, it holds for every value of x, whether it is odd or even. Hence, it is correct statement.

_______________________________________________________

Trick: 7x + 4 = 0....(1) and,

3x + 5 + 4x = 1

Rearranging the terms of above expression, we get,

(3x + 4x) + (5 - 1) =0

or 7x + 4 = 0...(2)

clearly both (1) & (2) are equivalent.

_____________________________________________________

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2 years ago

What is the best description of the transformation shown?What is the best description of the transformation shown?

professor190 [17]

Answer:

The transformation is reflection

3 0

3 years ago

Read 2 more answers

Jharana got Rs.1881 interest of certain sum for 2year at 9% compounded yearly.find the sum.

Lana71 [14]

The principal sum is Rs.10,000

Step-by-step explanation:

The formula of compound interest is:

$I=P(1+\frac{r}{n})^{nt}-P$ where:

I is the interest
P is the principal investment amount (the initial deposit or loan amount)
r is the annual interest rate (decimal)
n is the number of times that interest is compounded per unit t
t is the time the money is invested or borrowed for

Jharana got Rs.1881 interest of certain sum for 2 year at 9%

compounded yearly

∵ I = Rs.1881

∵ r = (9/100) = 0.09

∵ n = 1 ⇒ compounded yearly

∵ t = 2 years

Substitute all of these values in the rule above

∴ $1881=P(1+\frac{0.09}{1})^{(1)(2)}-P$

∴ 1881 = P(1 + 0.09)² - P

∴ 1881 = P(1.09)² - P

∴ 1881 = 1.1881 P - P

∴ 1881 = 0.1881 P

- Divide both sides by 0.1881

∴ P = 10,000

The principal sum is Rs.10,000

Learn more:

You can learn more about the interest in brainly.com/question/11149751

#LearnwithBrainly

3 0

2 years ago

5 less than the quotient of a number and 2

djverab [1.8K]

Why did you delete my answer it was correct

8 0

3 years ago

The length of a rectangular garden is 5 meters shorter than twice it width, the area of its region is 150 square meters. Find th

grin007 [14]

Step-by-step explanation:

length = x - 5

width = 2x

2x(x-5) = 150 m^2

2x^2 - 10x = 150 m^2

2x^2 - 10x - 150 = 0

(x=11.51 or x = -6.513)

if you wanna check,

2(11.51) × (11.51-5) = 150

23.02 × 6.51 = 150

149.8602 = 150

I'm not sure if its correct though^^

7 0

3 years ago