Which equation can be used to represent six added to twice the sum of a number and four is equal to one-half of the difference of three and the number?

Answers

Answer 1

Answer: six added to twice the sum of a number and four is equal to one-half of the difference of thee and the number.

Let x be the number.

6 + 2(x + 4) = 1/2 * (3-x)

Find the value of x.

6 + 2x + 8 = 3/2 - x/2
2x + x/2 = 3/2 - 8 - 6
2x + x/2 = 3/2 - 14
2(2x + x/2) = 2(3/2 - 14)
4x + x = 3 - 28
5x = -25
x = -25/5
x = -5

To check: x = -5

6 + 2(x + 4) = 1/2 * (3-x)

6 + 2(-5+4) = 1/2 * (3 - (-5))
6 + 2 (-1) = 1/2 * (3 + 5)
6 - 2 = 1/2 (8)
4 = 4

Answer 2

Answer:

Answer: Opion A

(A) 6 + 2(X + 4)= 1/2(3-X) <=========+ 100 %

Step-by-step explanation:

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57 = -8x – 7 helpppppp

Answers

57 = -8x - 7

Add 7 to both sides:

64 = -8x

Divide both sides by -8:

X = 64/-8

X = -8

Answer:

x = -8

Step-by-step explanation:

57 = -8x - 7

+7 +7

64 = -8x

64/-8

x = -8

Check:

57 = -8(-8) - 7

57 = 64 - 7

57 = 57

Find the circumference of a circle whose radius is 15.4cm

Answers

$r=15,4\ cm\nC=2\cdot\ \pi\ \cdot\ r\nC=2\cdot\ \pi\ \cdot\ 15,4\ cm\nC=30,8\ \pi\ cm$

$\pi\approx\ 3,14$

$C=30,8\ \cdot\ 3,14\ cm\nC=96,712\ cm$

π = 3,14

c = 2.π.r
c = 2.3,14.15,4
c ≈ 96,7

Which expression is equivalent to the trigonometric expression

Answers

Answer:

A: $csc(\theta)$

Step-by-step explanation:

Let's rewrite the expression in terms of sine and cosine, then simplify what can be simplified.:

$sin(\theta) \cdot (cos^2(\theta))/(sin^2(\theta))\cdot \frac 1{cos^2(\theta)} =\n\frac1{sin(\theta)} = csc(\theta)$

A taxi ride costs 2.75 for the first quarter of a mile and 0.85 for each susequent quarter mile

Answers

equation would be
for the nth mile the cost would be
f(n)=(n-1)0.85+2.75
that way, for the 1st mile, the 0.85 doesn't apply
then for the next miles, it does
we can distribute it
0.85(n-1)=0.85n-0.85
so we have
f(n)=0.85n-0.85+2.75
f(n)=0.85n+1.9

the new equtation is cost for the nth mile is 0.85n+1.9

Solve in picture. Mathematics problem.

Answers

Cross Multiplication!
$(4)/(7)$ = $(x-3)/(21)$
4 × 21 = 7 × (x-3)
Distribute 7 into the parenthesis:
84 = 7x - 21
Take 21 to the other side:
84 + 21 = 7x
105 = 7x
Divide by 7 on both sides:
$(105)/(7)$ = $(7x)/(7)$
( 7 and 7 cancels out )
15 = x
x = 15

John has $80. Every week, he spends $7.Create an equation that represents How much money, m, in dollars, will he have after the fourth week? Enter the equation and the answer on separate lines. (Will give brainliest)

Answers

Answer:

7x+80

Step-by-step explanation:

x represents the number of weeks

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