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Shalnov [3]
4 years ago
6

Solve for x. −18 = −2/3 x

Mathematics
2 answers:
vredina [299]4 years ago
7 0

Answer:

x = 27

Step-by-step explanation:

To isolate x, we can multiply it by the reciprocal of the fraction (-3/2). We do the same to the -18.

Through cross-multiplication, -18/1 x -3/2 simplifies into -9/1 x -3/1 (because 2 goes into 2 once and 2 goes into -18 -9 times).

-9 x -3 = 27; therefore, x = 27

lutik1710 [3]4 years ago
7 0

Answer:

X= 27

Step-by-step explanation:

Muliply by the reciprocal to get rid of the fraction on the right.

(-3/2)-18=(-2/3)(-3/2)x

Simplify by multiplying the fractions. The left makes 54/2 and the right makes x because the reciprocals cancel each other out.

54/2=x

Simplify your fraction by dividing 54 by 2

27=x

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A diameter of a circle is 16 units. What is the radius of the circle?
alekssr [168]
R= diameter/2
answer: 8 units
6 0
3 years ago
A famous Premier-league footballer was quoted on Match of the Day to have a goal-scoring statistic of 0.36
stepan [7]

Answer:

13a.\  The \ probability\ of \ scoring\ a\  goal\  in\  a\  game\  is\  0.36\\\\b. 3 \ games

14.

a. \ \£90\\b. \ 26 \ weeks\\c. \ \£4,860

15. This is not possible since p(yellow)=0.10 which is less than the stated 0.35

Step-by-step explanation:

13 a. -A goal-scoring statistic is the probability of a player scoring one goal in any given game played.

-A 0.36 goal scoring statistic means that the player has a 0.36 or 36% chance of scoring a goal in any game that he is involved in.

b. To determine the number of games it takes to score a whole goal, we divide the probability by 1 goal:

Games=\frac{1 \ game}{p(goal)}\\\\=\frac{1}{0.36}\\\\=2.778\approx 3

Hence, it takes approximately 3 games to score a full goal.

14.-The cost of a GCSE retake is £600 and attracts a 15% deposit

#The 15% equivalent in actual pounds is calculated by multiplying the percentage by the total cost as:

C_g=0.15\times 600\\\\=\£90

Hence, the 15%  deposit amount equals £90

b.#The student pays the balance in a £20 per week scheme,the total number of weeks is calculated as:

t=\frac{Balance}{Rate}\\\\=\frac{600-90}{20}\\\\=\frac{510}{20}\\\\=25.5\approx 26

Hence, it takes 26 weeks to clear the balance.

c. Given that 10% is the equivalent of £450

-We divide this amount by 10% to get the 100% equivalent

#We know that 10%=0.10

100\%=\frac{540}{0.1}\\\\=\£5400

#Alternatively, 100% divided by 10% is 10. Multiply this value by £540:

=540\times 10\\\\=\£5400

We subtract the discount amount for the per-discount price:

Cost=Total -discount\\\\=5400-540\\\\=\£4860

Hence, it will cost £4,860 without the discount.

15. Since we are not given the proportion of colors in the bag, we assume that all the 10 beads have different colors.

-As such, the sample space is 10 and each color has an equal chance of being picked:

P(Each \ Color)=P(Yellow)=\frac{1}{10}\\\\\therefore P(Yellow)

Hence, this is impossible since 0.10<0.35

7 0
4 years ago
Factor 9y2 - 12y + 4.<br><br> (3 y - 2)(3 y + 2)<br> (3 y - 4)( y + 1)<br> (3 y - 2) 2
lozanna [386]

Answer:

(y - 2)²

Step-by-step explanation:

9y² - 12y + 4 ← is a perfect square of the form

(ax - b)² = a²x² - 2abx + b²

Compare like terms with 9y² - 12y + 4, thus

a² = 9 ⇒ a = 3

b² = 4 ⇒ b = 2 and

- 2ab = - 2 × 3 × 2 = - 12

Thus

9y² - 12y + 4 = (3y - 2)²

8 0
3 years ago
Couldn't write it out so i took a pic of it
olasank [31]

Answer:

4th is the answer

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Brandon set a goal of running 12 miles per week on Monday he ran 4 3/4 miles on Wednesday he ran 3 1/3 miles on Friday he ran 1
Marysya12 [62]

Answer:

9.7303888 miles

Step-by-step explanation:

Given the following :

Set target = 12 miles per week.

Miles ran on Monday = 4 3/4 miles

Miles ran on Wednesday = 3 1/3 miles

Miles ran on Friday = 1 11/17 miles

Number of miles covered for the week:

(miles covered on Monday + miles covered on Wednesday + miles covered on Friday)

= (4 3/4 + 3 1/3 + 1 11/17) miles

= (19/4 + 10/3 + 28/17) miles

= (4.75 + 3.33333 + 1.6470588) miles

= 9.7303888 miles

5 0
3 years ago
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