All categories

3 years ago

1/4(r-5/2)=1/8 i need an answer cant figure it out

Mathematics

2 answers:

san4es73 [151]3 years ago

5 0

1/4(r - 5/2) = 1/8
Divide both sides by 1/8 :0
2(r - 5/2) = 1
r - 5/2 = 1/2
r = 1/2 + 5/2 = 6/2

r = 3 Answer

egoroff_w [7]3 years ago

5 0

$\dfrac{1}{4}(r - \dfrac{5}{2}) = \dfrac{1}{8}$

The LCD of both fractions is 8, so multiply both sides by 8.

$8 \times \dfrac{1}{4}(r - \dfrac{5}{2}) = 8 \times \dfrac{1}{8}$

$2(r - \dfrac{5}{2}) = 1$

Distribute the 2 on the left side.

$2r - 5 = 1$

$2r = 6$

$r = 3$

You might be interested in

List the members of these sets.

mars1129 [50]

Answer with Step-by-step explanation:

a. $x^2=1$

$x=\sqrt{1}=\pm 1$

x is a real number

Therefore, the set={-1,1}

b.x is a positive integer less than 12

Therefore, the value of x are

1,2,3,4,5,6,7,8,9,10,11

Set={1,2,3,4,5,6,7,8,9,10,11}

c.x is a square of an integer and x<100

Therefore, the value of x can be

1,4,9,16,25,36,49,64,81

Set={1,4,9,16,25,36,49,64,81}

d.x is an integer such that $x^2=2$

$x=\pm\sqrt{2}$

But x is an integer

$\sqrt 2$ and $-\sqrt 2$ are not integers.

Therefore, there is no integer element which satisfied $x^2=2$

Set=Null set= $\phi$

8 0

3 years ago

The following data represent the chemistry grades for a random sample of 12 freshmen at a certain college along with their score

Katyanochek1 [597]

Answer:

R = 0.862

Strong positive relationship

Step-by-step explanation:

Given the data:

Test Chemistry Student Score,

x Grade, y

1 2 3 4 5 6 7 8 9 10 11 12

Score,x = 65 50 55 65 55 70 65 70 55 70 50 55

Grade, y = 85 74 76 90 85 87 94 98 81 91 76 74

Using technology :

The CORREL function in excel, calculators will give accurate value of the correlation Coefficient between two variables, x and y. The correlation Coefficient obtained using technology is : 0.862

The correlation Coefficient value ranges between (-1 and 1) with values closer to either - 1 or 1 reflecting stronger relationship. A value of 0 means there is no relationship between the variables. Negative values indicate negative relationships while positive indicates positive association between the variables.

Therefore. With a correlation Coefficient of 0.862, the correlation Coefficient can be interpreted as meaning that ; there is a strong positive relationship between score and grade.

6 0

3 years ago

Two players are playing the following combinatorial game.

AfilCa [17]

Answer:

The player that placed the knight after the first person at the start of the game. There in his turn whatever role the knight played he both had opportunity to space each knight strategically and use the knight to protect whatever wins the game.

Step-by-step explanation:

Maths is 81/80 =1

5 0

3 years ago

Help I don't understand this math. Whoever gets the right answer gets Brainlist! :)

Lera25 [3.4K]

Answer:

1) y=x-4

2)y=x+2

Step-by-step explanation:

You can see on the first one y is just 4 less than x

You can see that the second one (graph) has a slope. As by the points, if you increase x by 0.5 you increase y by one.

Thus, y=x+2

Hope this helped! I can't see much of the question :)

5 0

2 years ago

Roberto is a fan of the Los Angeles Angels baseball team. Since he works at night he only

tatiyna

Step-by-step explanation:

There are other factors than Roberto coming that could have affected the outcome of the game. For example, maybe the night games were against better teams to generate better ratings in prime time. Moreover, maybe the Angels do better at home due to home-field advantage. There are many factors such as these that could explain why Roberto witnessed such a high win rate at the games he went to, so it cannot be concluded that Roberto's attendance caused the Angels to win.

7 0

2 years ago