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Nutka1998 [239]
3 years ago
6

Javier asks his mother how old a tree in their yard is. His mother says, "The sum of 10 and two-thirds of that tree's age, in ye

ars, is equal to 50." Javier writes the equation (10 + two-thirds) a = 50, where a is the tree's age in years. His equation is not correct. What error did he make?
Mathematics
1 answer:
Sloan [31]3 years ago
5 0

Answer:

His error is adding 10 and 2/3 before multiplying by a(age of the tree)

Step-by-step explanation:

The sum of 10 and two-thirds of that tree's age, in years, is equal to 50.

Correct equation

Sum = addition (+)

two-thirds = 2/3

The tree's age = a

10 + 2/3a = 50

2/3a = 50 - 10

2/3a = 40

a = 40 ÷ 2/3

= 40 × 3/2

= 60

a = 60 years

Javier writes the equation

(10 + two-thirds) a = 50

(10 + 2/3)a = 50

(30+2/3)a = 50

32/3a = 50

a = 50 ÷ 32/3

= 50 × 3/32

= 150/32

a = 150/32

His error is adding 10 and 2/3 before multiplying by a(age of the tree)

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PLEASE HELP !!!!!!! Jordan got a new money bank for his birthday with $20 inside. He puts part of his weekly allowance in his ba
kupik [55]

Answer:

Slope of the function is =3.75,Y-intercept =20.

The function is y=3.75(x)+20 with initial value=20,Jordan puts \$3.75 each week andthe amount saved by Jordan after 52 week =215\$.

Step-by-step explanation:

To understand the slope and y-intercept lets assign x as number of weeks and  y as the money saved by Jordan.

Jordan is already having a sum of \$20 inside the money bank so in 0 week the amount is \$20 can be written as (x,y) =(0,20) in coordinate form.

SImilarly

We have (x,y) =(0,20)and (x_1,y_1) =(25,113.75)

Part A:

The function is y=m(x)+b

From point-slope form,we have slope (m)

and m=\frac{y_1-y}{x_1-x},plugging the values of the points.

m=\frac{113.75-20}{25-0}=3.75

Y-intercept of this function is the constant term or the money of  \$20 that is already inside the money bank.

We can also calculate y-intercept by arranging the function as b=y-m(x) choosing any (x_1,y_1) = (25,113.75) coordinate and here b is the y-intercept.

The result will be same.

Part B:

The equation <u>y=3.75(x)</u> can represent the function described.

And the initial value is the <u>y-intercept =\$20</u>

Jordan puts<u> 3.75 </u>in his bank each week.

After 52 week the amount saved by Jordan ,here x=52,as the x-variable is the number of weeks.

Plugging the value of x=52 in  y=m(x)+b where m=3.75 so the equation becomes  y=3.75(x)+20

y=3.75(x)+20 =3.75(52)+20=\$215

So basically the function is y=3.75(x)+20 and the amount saved by Jordan after 52 week =215\$.

6 0
3 years ago
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nadezda [96]
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The collect 19 boxes by the end of everyday.
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3 years ago
What's the solution of the equation 4[x+2(3x-7)]=22x-65
padilas [110]

Answer:

x = -3/2

Step-by-step explanation:

Let's solve your equation step-by-step.

4(x+2(3x−7))=22x−65

Step 1: Simplify both sides of the equation.

4(x+2(3x−7))=22x−65

(4)(x)+(4)(2(3x−7))=22x+−65(Distribute)

4x+24x+−56=22x+−65

(4x+24x)+(−56)=22x−65(Combine Like Terms)

28x+−56=22x−65

28x−56=22x−65

Step 2: Subtract 22x from both sides.

28x−56−22x=22x−65−22x

6x−56=−65

Step 3: Add 56 to both sides.

6x−56+56=−65+56

6x=−9

Step 4: Divide both sides by 6.

6x = -9

6       6

x =  -3/2

8 0
3 years ago
The Watson family and the Thompson family each used their sprinklers last summer. The Watson family's sprinkler was used for hou
o-na [289]

This question s incomplete, the complete question is;

The Watson family and the Thompson family each used their sprinklers last summer. The Watson family's sprinkler was used for 15 hours. The Thompson family's sprinkler was used for 30 hours.

There was a combined total output of 1050 of water. What was the water output rate for each sprinkler if the sum of the two rates was 55L per hour  

Answer:

The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr

Step-by-step explanation:

Given the data in the question;

let water p rate for Watson family and the Thompson family sprinklers be represented by x and y respectively

so

x + y = 55  ----------------equ1

x = 55 - y ------------------qu2

also

15x + 30y = 1050

x + 2y = 70 --------------equ3

input equ2 into equ3

(55 - y) + 2y = 70

- y + 2y = 70 - 55

y = 15

input value of y into equ1

x + 15 = 55

x = 55 - 15

x = 40

Therefore, The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr

8 0
3 years ago
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