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storchak [24]
2 years ago
10

What value of x makes this equation true? 5-2(x + 8) = 6x + 7

Mathematics
1 answer:
zhuklara [117]2 years ago
4 0

Answer:

x = negative 9/4

Step-by-step explanation:

-2x-11=6x+7

-2x-11+11=6x+7+11

-2x=6x+18

-2x-6x=6x+18-6x

-8x=18

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Jane and 3 friends decided to split the cost of a pizza evenly. The total cost was $25.48. How much does each friend have to pay
erma4kov [3.2K]

Answer:

$6.37

Step-by-step explanation:

Jane and 3 friends = Jane + another 3 people

= 4 people in total

Total Cost of pizza = $25.48

If 4 people split $25.48 evenly,

Amount each friend has to pay = Total Cost of pizza/Total number of people

= $25.48/4

= $6.37 per friend

Each friend has to pay $6.37 each if $25.48 is splitted evenly amongst them

6 0
3 years ago
Riley finished her 5k race in One-half hour. Darby finished the same race in Three-fifths hour. Which statement explains which g
Andrej [43]

Answer:

Riley did better than Darby because One-half < Three-fifths.

Step-by-step explanation:

The statement that explains which girl did better would be that

Riley did better than Darby because One-half < Three-fifths.

There are a total of 60 minutes in an hour, If we multiply each of these fractions by 60 minutes it would give us the exact number of minutes that each girl took to finish the race.

Riley: \frac{1}{2} * 60 = 30 minutes

Darby: \frac{3}{5} * 60 = 36 minutes

Therefore, we can see that it took Riley 6 minutes less than Darby to finish the race meaning that she had the better result.

3 0
3 years ago
Read 2 more answers
BRAINIEST!!! only answer if you know and can give an explanation, will report for non-sense answers
sergiy2304 [10]

Answer:

Below

Step-by-step explanation:

For a given shape to be a rhombus, it should satisfy these conditions:

● The diagonals should intercept each others in the midpoint.

● The diagonals should be perpendicular.

● The sides should have the same length.

We will prove the conditions one by one.

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's prove that the diagonals are perpendicular:

To do that we will write express them as vectors

The two vectors are EG and DF.

The coordinates of the four points are:

● E(0,2c)

● G (0,0)

● F (a+b, c)

● D (-a-b, c)

Now the coordinates of the vectors:

● EG (0-0,0-2c) => EG(0,-2c)

● DF ( a+b-(-a-b),c-c) => DF (2a+2b,0)

For the diagonals to be perpendicular the scalar product of EG and DF should be null.

● EG.DF = 0*(2a+2b)+(-2c)*0 = 0

So the diagonals are perpendicular.

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's prove that the diagonals intercept each others at the midpoints.

The diagonals EG and DF should have the same midpoint.

● The midpoint of EG:

We can figure it out without calculations. Since G is located at (0,0) and E at (0,2c) then the distance between E and G is 2c.

Then the midpoint is located at (0,c)

● The midpoint of DF:

We will use the midpoint formula.

The coordinates of the two points are:

● F (a+b,c)

● D(-a-b,c)

Let M be the midpoint of DF

●M( (a+b-a-b,c+c)

● M (0,2c)

So EG and DF have the same midpoint.

■■■■■■■■■■■■■■■■■■■■■■■■■■

There is no need to prove the last condition, since the two above guarante it.

But we can prove it using the pythagorian theorem.

8 0
2 years ago
What is the value of x in the equation 3x – one-ninthy = 18, when y = 27?
sdas [7]

Answer:

3x -  \frac{1}{9} = 18 \\ 3x = 18 +  \frac{1}{9} \\ x = 6 +  \frac{1}{27} \\ x =  \frac{163}{27} \\  \\  \\  \\ 3x -  \frac{1}{9} = 27 \\ 3x = 27 +  \frac{1}{9} \\ x = 9 +  \frac{1}{27} \\ x =  \frac{244}{27}

7 0
3 years ago
Read 2 more answers
If z is the circumcenter of stu, sy = 19, tz = 21, and st = 30 , find each measure.
skelet666 [1.2K]
Sz=21 yu=19 wt=15 zy=4√5
7 0
2 years ago
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