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Scrat [10]
3 years ago
14

Julio has 5 more dollars than Dan. Altogether, Julio and Dan have $19. Write and solve an equation to represent the situation. H

ow much money does each boy have?
Mathematics
1 answer:
cluponka [151]3 years ago
8 0

Answer:

Dan has $7 and Julio has $12

Step-by-step explanation:

Julio = x

Dan = y

They both have a total of $19:

x + y = 19

Julio has 5 more dollars than Dan:

(Therefore Dan would need 5 more dollars to catch up to what Julio has)

y + 5 = x

We now plug in one equation into the other and get:

y + (y+5) = 19

2y+5 = 19

2y = 14

y = 7

Plug in Dan's amount into the initial equation and we get:

7+5 = x

x =12

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Lesechka [4]
The correct option is d
7 0
3 years ago
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Find 310% of 150. a number blank
Ede4ka [16]

Answer:

465

Step-by-step explanation:

Of means multiply

310% * 150

Change to decimal form

3.10 * 150

465

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3 years ago
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Put the equation in standard form with a positive x coefficient. 2y+5=-4(x+2)
umka21 [38]

The standard form of equation is: 4x+2y = -13

Step-by-step explanation:

the standard form of a linear equation in two variables is given by:

ax+by = c

Given equation is:

2y+5=-4(x+2)

Distributing -4 into the round bracket

2y+5 = -4x-8

Adding 4x on both sides

4x+2y+5 = -4x-8+4x\\4x+2y+5 = -8

subtracting 5 from both sides

4x+2y+5-5 = -8-5\\4x+2y = -13

The standard form of equation is: 4x+2y = -13

Keywords: Linear equation, variables

Learn more about linear equations at:

  • brainly.com/question/6112033
  • brainly.com/question/6108628

#LearnwithBrainly

6 0
3 years ago
Ice cream shop is open within the month of june,july and august The shop served 100 fewer customers than they did in july They s
Julli [10]

The number of customers served in the ice cream shop in June, July and August are 125, 25 and 250 customers respectively

<h3>How to write and solve equation?</h3>

let

  • June = x
  • July = x - 100
  • August = 2x
  • Total customers = 400

Total = June + July + August

400 = x + (x- 100) + 2x

400 = x + x - 100 + 2x

400 = 4x - 100

400 + 100 = 4x

500 = 4x

x = 500/4

x = 125

So,

June = x

= 125 customers

July = x - 100

125 - 100

= 25 customers

August = 2x

= 2(125)

= 250 customers

Learn more about equation:

brainly.com/question/2972832

#SPJ1

5 0
2 years ago
The height of a triangle is 8 cm more than the base. If the area is 24 cm2, find the height and base of the triangle.
Elden [556K]

Answer:

height = 12 cm

base length = 4 cm

Step-by-step explanation:

area of a triangle

base length × height / 2

x = height

y = base length

x = y + 8

24 = y × (y + 8) / 2

48 = y × (y + 8) = y² + 8y

squared equation

y² + 8y - 48 = 0

solution

y = (-b ± sqrt(b² - 4ac))/(2a)

a = 1

b = 8

c = -48

y = (-8 ± sqrt(64 - 4×-48))/2 = (-8 ± sqrt(64 + 192))/2 =

= (-8 ± sqrt(256))/2 = (-8 ± 16)/2 = -4 ± 8

y1 = -4 + 8 = 4 cm

y2 = -4 - 8 = -12

but a negative base length did not make any sense, so only y = 4 remains.

x = y + 8 = 4 + 8 = 12 cm

5 0
3 years ago
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