What numbers are located exactly 5/3 units from point P on the number line?

Let a and b = the numbers we must find.

a + 2b = 5.....Equation A

2a + b = 13.......Equation B

We have a system of equations in two variables.

I will solve A for little a.

a + 2b = 5

a = 5 - 2b

Now I will plug 5 - 2b for a in B.

2(5 - 2b) + b = 13

10 - 4b + b = 13

-3b = 3

b = -1

To find a, replace b with -1 in EITHER A or B.

I will use Equation A.

a + 2b = 5

a + 2(-1) = 5

a - 2 = 5

a = 7

The two numbers are -1 and 7.

Understand?

Creo que habría 80 asientos.

Answer:

The number 2

Step-by-step explanation:

Answer:

"2 is prime and it is even"

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

The equation of the line is y-2x+5=0 I believe. Good luck :)

Answer:

differentiate

for example what is difference between this and that

Answer:

10

Step-by-step explanation:

This is because 10×4=40

10+5=15

40+5=45

45/15=3

Answer:

Step-by-step explanation:

Let E and F represent Eli and his Father's current ages.

We are told that E = (1/4)F.  ["Eli is now one quarter of his father’s age"]

But in 5 years, that will be:

(E+5) = (1/3)(F+5)       ["In 5 years’ time his age will be one third of

his father’s age"]

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We have two equations and two unknowns.  Find a way to eliminate one of the two variables and then solve for the remaining variable.

E = (1/4)F

(E+5) = (1/3)(F+5)

It seems to me the easiest would be to use the first equation's definition of E [=(1/4)F] in the second equation:

(E+5) = (1/3)(F+5)

((1/4)F+5) = (1/3)(F+5)

(1/4)F - (1/3)F = (1/3)*5 - 5

F - (4/3)F = (4/3)*5 - 20

-(1/3)F = (20/3) - (60/3)

-(1/3)F = (-40/3)

F = (120/3)

F = 40 years

E = 10 years  (based on E = (1/4)F)

====

In five years:  F is 45 and E is 15, which would make Eli  1/3 of his father's age in 5 years.

69,420 ------------------------------------------------------------------------

Answer:

His speed was 200.

Step-by-step explanation:

500/2.5 is 200.

Answer:

The speed of Mario Andretti's race car is 200 m/h.

Step-by-step explanation:

Conclusion:

Therefore, the speed of Mario Andretti's race car is 200 m/h.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

$1.90

10xx+25yy cents

Step-by-step explanation:

9 dimes (10 cents each) = 90 cents = 0.9 dollars

4 quarters (25 cents each) = 100 cents = 1 dollar

Making $1.90

xx dimes (10 cents each) = 10xx cents

yy quarters (25 cents each) = 25yy cents

Making 10xx+25yy cents in total I believe..

Hope this helps :)

Answer:

200 candles

Step-by-step explanation:

20*10 = 200

Answer:

95 square meters

Step-by-step explanation:

I am answering this question assuming 19 is the base because it is the longest side on the triangle. (there is no picture provided)

The formula for area of triangle is base * height * 1/2

So 19 * 10 *1/2 is 95.

Answer:

The value of 14(n+1) is 112.

Step-by-step explanation:

14n=98

n=98/14

n=7

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14(n+1)=14(7+1)=14(8)=112

Answer:

.50x4+15=x

Step-by-step explanation:

X=17

Answer:

Step-by-step explanation:

The area of each trapezoid can be found using the relevant formula:

  A = 1/2(b1 +b2)h . . . . b1, b2 are the base lengths; h is the height

For the top trapezoid, the height is 13 m-7 m = 6 m, so the area is ...

  A = 1/2(8 m +5 m)(6 m) = 39 m²

The area of the bottom trapezoid is ...

  A = 1/2(10 m +17 m)(7 m) = 94.5 m²

The area of the shape is the sum of the areas of the two trapezoids.

  area = 39 m² +94.5 m² = 133.5 m² . . . . area of the figure

__

The horizontal lengths are all marked, but the slant lengths are not. There are no angles or other information given that can help determine the slant lengths. In order to answer the question, we can assume that the trapezoids are isosceles. Then the base of the right triangle shown in the top trapezoid is (8 -5)/2 = 1.5 m. The height is 6 m. The Pythagorean theorem tells us the slant length is ...

  s1 = √(1.5² +6²) ≈ 6.1847 . . . . meters

Similarly, the base length of the right triangle shown next to the bottom trapezoid is (17 -10)/2 = 3.5 m. The height is 7 m. The slant length of that one is ...

  s2 = √(3.5² +7²) ≈ 7.8262 . . . . meters

__

The perimeter is the sum of the lengths of the sides. Note that the 17 m dimension includes 8 m that are not part of the boundary of the figure. The sum of lengths of the horizontal edges is ...

  10 m +(17 -8 m) +5 m = 24 m

The sum of the lengths of the slant edges is ...

  2·s1 +2·s2 = 2(6.1847 +7.8262) ≈ 28.02 . . . . meters

The perimeter of the figure is the sum of horizontal lengths and slant lengths:

  24 m + 28.02 m = 52.02 m . . . . perimeter of the figure

Answer:

52%=0.52

319%=3.19

7.9%=0.079

4.5%=80

37/8%=4.652

62/3%=20.67

2. 15 cups

3. 70.4m

4. $12.5

5.

Step-by-step explanation:

52%=52/100=0.52

319%=319/100=3.19

7.9%=7.9/100=0.079

4/5%=(4/5)/100=4/5×100=80

37/8%=4.(5/8)=4.652

62/3%=20.(2/3)=20.67

1 bottle holds 0.65L

1 cup holds 0.26L

6 bottles hold (0.65×6) =3.9L

n cups hold 3.9L

0.26n=3.9

n=3.9/0.26

n=15

30.8m make 7 shirts

ym make 1 shirt

7y = 30.8

y = 4.4m

1 shirt needs 4.4m

16 shirts need 16×4.4=70.4m

0.6kg cost $15

1kg costs $b

0.6b=15

b=$25

1kg costs $25

0.5kg cost (25×0.5)=$12.5

x = by + ay / a - c

Step-by-step explanation:

Given that

ax - ay = cx + by

Collect like terms

ax - cx = by + ay

Factorize both sides

ax - cx = by + ay

x(a - c) = by + ay

Divide both sides by (a - c)

x(a - c) = by + ay

x = by + ay / a - c

Making x the subject of the formula would be

x = by + ay / a - c

Learn more about subject of formula here : https://brainly.com/question/859711

Answer:

no property

Step-by-step explanation:

Name the property used: no property

Answer:

16z

Step-by-step explanation:

z = the unknown number of pounds

16 ounces in 1 pound.

So  z pounds =  16z    

or   it can be given as a proportion;

[tex]\frac{16 ounces}{1 pound} (z)[/tex]

Answer:

here,

circumference of circle (c)=2πr

=2×22÷7×2.4

15.0857143.

Answer:

8-(-8) = 8+8

8-8 = 8+(-8)

-8-(-8) = -8+8

-8-8 = -8+(-8)

10-9 = 10+(-9)

10-(-9) = 10+9

Step-by-step explanation:

Remember that if the signs are equal +,+ or -,- , they are positive (+)

if the signs are different like +,- or -,+ then they are negative (-)

Answer:

r = 59

Step-by-step explanation:

59 + r = 118

59 + r - 59 = 118 - 59

r = 59

Since 59 is being added to r, and you want r alone, you must subtract 59 from the left side of the equation. The rule is that you must do the same operation to both sides of the equation. Therefore, to solve for r, subtract 59 from both sides of the equation.

Step-by-step explanation:

1. 16x ^ 12 ( to raise a product to a power , raise its factor to the power , evaluate the power, simplify the expressions by multiplying exponents)

2. 1 ( its a rule any non zero expression raised to power of 0 equals to 1)

3. 7/p^4

Answer:

Step-by-step explanation:

Relative speed can play a major role in creating distance between two bodies. If the relative speed between two bodies is 0, then both the bodies are moving in the same direction with a similar speed. Thus, After 4 minutes, 1680 feet farther will Skateboarder B have traveled.

Skateboarder A travels at a steady rate of 15 feet per second.

Skateboarder B travels at a steady rate of 22 feet per second.

We need to determine that after 4 minutes, how much farther will Skateboarder B have traveled.

The formula for finding the distance travelled by anybody is represented below

Time is given that is 4 minutes which means 240 seconds.

Thus,

Distance travelled by skateboarder A

Distance travelled by skateboarder B.

Therefore, the separation of the distance between both the skateboarders is 5280 - 3600 = 1680.

Thus, After 4 minutes, 1680 feet farther will Skateboarder B have traveled.

Answer:

a. (2,1)

b. (0,2)

c. (4,0)

Step-by-step explanation:

2x+ 4y = 8 /2

x + 2y = 4

x = 4 - 2y and y = (4 - x)/2

a. x = 2 => y = 1

b. x = 0 => y = 2

c. y = 0 => x = 4