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A dump truck brought 1⁄3 of a ton of rock on the first trip, 1⁄2 of a ton on the second trip, but on the third trip, had to take

Allisa [31]

Answer:

1/30 of a ton

Step-by-step explanation:

Write this as an expression:

1/3 of a ton and 1/2 of a ton were taken to the site.

4/5 of a ton were remove from the site.

Amount of a ton at the site = $\frac{1}{3}+ \frac{1}{2}- \frac{4}{5}$

Solve the equation by finding common denominators (when the bottom numbers are the same).

$(\frac{1}{3}+ \frac{1}{2})- \frac{4}{5}$ Focus on the first part. The least common multiple (LCM) of 3 and 2 is "6", which will become the denominator.

For 1/3 to become ?/6, multiply top and bottom by 2.

For 1/2 to become ?/6, multiply top and bottom by 3.

$(\frac{2}{6}+ \frac{3}{6})- \frac{4}{5}$

Now we can add the numerators together over the same denominator.

$\frac{5}{6}- \frac{4}{5}$

Do the same thing as before and change the denominators. The LCM of 6 and 5 is "30".

For 5/6 to become ?/30, multiply top and bottom by 5.

For 4/5 to become ?/30, multiply top and bottom by 6.

$\frac{25}{30}- \frac{24}{30}$

Subtract the numerators:

$\frac{1}{30}$ Answer in tons

Therefore there was 1/30 of a ton of rock left at the construction site.

7 0

3 years ago

Read 2 more answers

Function (A or B) has the greater initial value because the initial value for function A is _ and the initial value for Function

Volgvan

Answer:

Function B has the greater initial value because the initial value for function A is 4 and the initial value for Function B is 5

Step-by-step explanation:

The initial value of a function is the output value of the function when the input value is 0

Initial value of A is y=4 at x=0,

and

initial value of B is y=0*6+5= 5 at x=0

Function B has the greater initial value because the initial value for function A is 4 and the initial value for Function B is 5

5 0

3 years ago

High School sold tickets to the winter dance for $3.50 in advanced and $5.00 at the door. If 115 people attended the dance and H

klemol [59]

Answer: 3.5a+5b=470 and a+b=115

Step-by-step explanation:

6 0

2 years ago

11. Find the Percent of Change (Round to the nearest tenth if necessary)

Elanso [62]

Answer:

A. 5.2% Decrease

Step-by-step explanation:

6 0

3 years ago

Chicos estoy en un aprieto ayudarme pls Sabiendo que una falda es 5 € más cara que una blusa y que si compro 6 faldas y 4 blusas

poizon [28]

Answer:

El precio de la falda es 50 €.

Step-by-step explanation:

Lo que sabemos:

$F = 5 + B$ (1)

En donde F es por falda y B por blusa.

Si compras 6 faldas y 4 blusas y pagas 480 €:

$6F + 4B = 480$ (2)

Entonces, al introducir la ecuación (1) en (2) podemos hallar el precio de cada falda.

$6F + 4B = 480$

$6(5 + B) + 4B = 480$

$10B = 480 - 30$

$B = \frac{450}{10} = 45$

Finalmente, el precio de la falda se puede encontar con la ecuación (1):

$F = 5 + 45 = 50$

Por lo tanto, el precio de la falda es 50 €.

Espero que te sea de utilidad!

7 0

2 years ago