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Korvikt [17]
3 years ago
15

A number q multiplied by 1/4 is greater than -16

Mathematics
1 answer:
Elza [17]3 years ago
5 0
In number form this is:
q · 1/4 > -16
To get rid of the fraction, multiply both sides by 4 to get the answer:
q > -64
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Please just answer this and explain how to solve...i’m not grasping the work :/
OverLord2011 [107]

\bf Step-by-step~explanation:

We are given that BA is perpendicular to BD, so that must mean that <em>m∠ABD </em>is a right angle, or 90º. This means: (8x - 10) + (4x + 52) = 90º, since both of the angles add up to become a right angle. We have to solve for x in order to find <em>m∠CBD.</em>

<em />

<u>PART 1</u>

<em />

<em />\bf Step~1:<em />

Equation: (8x - 10) + (4x + 52) = 90

Let's add the like values together first.

\bf 8x+4x=12x\\-10+52 = 42

\bf 12x+42=90

\bf Step~2:

Let's subtract 42 from both sides of the equation to isolate the variable we are solving for, x. Our goal is to isolate it completely to get a value that is equal to x.

\bf12x+42(-42)=90(=42)\\12x=48

\bf Step~3:

Divide both sides by 12 to get our final answer for x.

\bf\frac{12x}{12} =x\\\\\frac{48}{12}= 4\\\\x=4

<u>PART 2</u>

<u></u>

Now that we have x, we simply plug it into our equation for <em>m∠CBD. </em>

<em />

<em />\bf Step~1:<em />

\bf4x+52\\4(4)+52

\bf Step~2:

Multiply 4 and add 52.

\bf 4*4=16\\16+52=68

\large\boxed{\bf Our~final~answer: mCBD=68}

8 0
3 years ago
Translate into an algebraic expression and simplify if possible. C It would take Maya x minutes to rake the leaves and Carla y m
lina2011 [118]

Answer:

in one minute they rake \frac{y+x}{xy} leaves working together.

Step-by-step explanation:

If Maya rakes the leaves in x minutes, then, in one minute she rakes \frac{1}{x} leaves.

In the case of Carla, if she rakes the leaves in y minutes, in one minute she rakes \frac{1}{y} leaves.

Therefore, to know the portion of leaves they can rake in one minute working together, we need to sum up both of the portions each one of them rake in one minute, this gives us: \frac{1}{x}+ \frac{1}{y}

Now, to simplify this expression:

\frac{1}{x}+ \frac{1}{y}  =\frac{y+x}{xy}

Thus, in one minute they rake \frac{y+x}{xy} leaves.

8 0
3 years ago
Five players on a basketball team in a game 4 players score 6 Points each the team scored a total of 34 points how many points d
Dmitrij [34]

Answer: The other player scored 10 points.

Step-by-step explanation:

Since we have given that

Number of players = 4

Number of scores each player score = 6

Total scores scored by 4 players would be

4\times 6\\\\=24

Total scores scored by a team = 34 points

So, the number of points scored by other player score is given by

34-24=10\ points

Hence, the other player scored 10 points.

7 0
3 years ago
Maya babysits for $8 per hour. She also works at her family’s restaurant for $10 per hour. She is only allowed to work for a tot
kodGreya [7K]
1 hour baby sitting 14 at the restaurant
8 0
3 years ago
Read 2 more answers
A bag contains green marbles and blue marbles,
dexar [7]

There are 13 green marbles in the bag.

Step-by-step explanation:

Total marbles = 18

Let,

Green marbles = x

Blue marbles = y

According to given statement;

The number of green marbles is 2 less  than 3 times the number of blue marbles.

x = 3y-2    Eqn 1

x+y=18      Eqn 2

Putting value of x from Eqn 1 in Eqn 2;

(3y-2)+y=18\\3y-2+y=18\\4y=18+2\\4y=20

Dividing both sides by 4

\frac{4y}{4}=\frac{20}{4}\\y=5

Putting y=5 in Eqn 1

x=3(5)-2\\x=15-2\\x=13

There are 13 green marbles in the bag.

Keywords: linear equation, substitution method

Learn more about linear equations at:

  • brainly.com/question/8054589
  • brainly.com/question/7932185

#LearnwithBrainly

8 0
3 years ago
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