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Which shows how to solve the equation Three-fourths x = negative 6 for x in one step?

option A i.e. Three-fourths (four-thirds) x = negative 6 (four-thirds).

Step-by-step explanation:

We have , The given expression as Three-fourths x = negative 6 , which can be written as $\frac{3}{4} (x) = -6$ . Now in order to solve this equation in one step , we must notice that coefficient of x must be 1 but it's $\frac{3}{4}$ , Let's make coefficient of x as 1 by multiplying both side of equations by 4/3:

$\frac{3}{4} (x) = -6$

⇒ $\frac{3}{4} (x) = -6$

⇒ $\frac{3}{4}(\frac{4}{3} ) (x) = -6(\frac{4}{3} )$

⇒ $x = -6(\frac{4}{3} )$

⇒ $x = -2(4)$

⇒ $x = -8$

Therefore, x= -8 & correct option to solve the equation Three-fourths x = negative 6 for x in one step is option A i.e. Three-fourths (four-thirds) x = negative 6 (four-thirds).

7 0

2 years ago

Read 2 more answers

Nancy found that x=1 is one solution to the quadratic eqaution (x+2)2=a.What is the Value of a ?

coldgirl [10]

(x + 2)·2 = a

(1 + 2)·2 = a

3·2 = a

a = 6

6 0

1 year ago

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According to the manufacturer, about 26% of sour candy in a package of Sandy's Sours are grape. What is the probability that the

Leto [7]

Answer:

Step-by-step explanation:

We assume that there are 100 sour candies, Thus-

26 % of candy are grape implies that 26% of 100 candies are grape that is equal to 26

Now remaing candies that are not grape are 100-26 = 74

Based on the rule of multiplication:

P(A ∩ B) = P(A)/ P(B|A)

 In the beginning, there are 26grape candies, probability of choosing first grape candy = 26C1 = 26

 After the first selection, we replace the selected grape candy so there are still 100 candies in the bag P(B|A) = 100C3 = 100 x 99 x 98 x 97!/3! X 97!

= 50 x 33 x 98

So probability =1/ 50 x 33 x 98 x 26

= 1/4204200

8 0

2 years ago

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In the month of June, the temperature in Johannesburg, South Africa, varies over the day in a periodic way that can be modeled a

UNO [17]

Answer:

T = - 7.5 Cos π/12( t - 4 ) + 10.5

Step-by-step explanation:

Given that the

Maximum temp. = 18 degree Celsius

Minimum temp. = 3 degree Celsius

The half way between 10 am and 10 pm is 4 am

The sine and cosine functions can be used to model fluctuations in temperature data through out the year. An equation that can be used to model these data is of the form:

T = A cos B(t - C) + D, where A,B,C,D, are constants, T is the temperature in °C and t is the hour (1–24)

A = amplitude = (Tmax - Tmin)/2

A = (3 - 18)/2 = - 15/2 = -7.5 ( note : after midnight)

B = 2π/24 = π/12

C = units translated to the right

C = 4

D = ymin + amplitude = units translated up

D = 7.5 + 3 = 10.5

The formula of the trigonometric function that models the temperature T in Johannesburg t hours after midnight we be

T = - 7.5 Cos π/12( t - 4 ) + 10.5

3 0

2 years ago

Malcolm buys a 5/6 pound of black beans and a 3/4 pound bag of pinto beans. How many pounds of beans does Malcolm buy in all?

artcher [175]

Answer:

1 7/12

Step-by-step explanation:

5/6+3/4=10/12+9/12 = 19/12 or 1 7/12

4 0

1 year ago