2/3x + 1/2 = 3/4 + 5/3
2/3x + 1/2 - 1/2 = 3/4 + 5/3 - 1/2
2/3x = 3/4 + 5/3 - 1/2
2/3x = 3/4(3/3) + 5/3(4/4) - 1/2(6/6)
2/3x = 9/12 + 20/12 - 6/12
2/3x = 23/12
2/3x(3/2) = 23/12(3/2)
X = 69/24
X = 2 21/24
X = 2 7/8
Answer:
16. Yes
17. Yes
Step-by-step explanation:
Since the angles are congruent (due to parallel lines) the two triangles are similar. Similar triangles form congruent ratios between their corresponding sides.
Since the quadrilaterals are similar, this means the angles in each are congruent. This will not change when divided by diagonals. The triangles in each will have congruent angles and their sides will maintain equivalent ratios.
One whole jar= 3/3 or 1
Set up a ratio comparing the two sets of measurements.
2 2/4 ounces of peanuts is to 2/3 of a jar as x ounces of peanuts is to 3/3 of a jar.
x= ounces in 1 whole jar
2 2/4 / 2/3= x / 3/3
cross multiply
(2 2/4 * 3/3)= (2/3 * x)
convert to improper fractions
10/4 * 3/3= 2/3x
multiply numerators; multiply denominators
(10*3)/(4*3)= 2/3x
30/12= 2/3x
divide both sides by 2/3
30/12 ÷ 2/3= x
to divide fractions, multiply by the reciprocal/inverse of 2/3
30/12 * 3/2= x
multiply numerators; multiply denominators
(30*3)/(12*2)= x
90/24= x
simplify by 6
15/4 or 3 3/4 ounces= x
ANSWER: 3 3/4 ounces can make a full jar.
Hope this helps! :)
Answer:
$181.9
Step-by-step explanation:
Si cuesta 85 dólares por 3 horas, queremos duplicarlo para obtener la cantidad por 6 horas, que es 170 dólares. Esto es antes del impuesto a las ventas. Puede encontrar la cantidad después del impuesto a las ventas multiplicando 170 por 1.07. Hace esto porque el 100 por ciento del costo sería 170 por 1 y el 7 por ciento es .07, por lo que si desea el 107 por ciento del costo, debe hacerlo 170 por 1.07. Esto funciona porque toma el 7 por ciento de 170 y lo agrega al costo total. También puede hacer esto 170 veces .07. Luego suma el producto a 170. 181,9 es la respuesta final.
English- If it costs 85 dollars for 3 hours we want to double that to get the amount for 6 hours which is 170 dollars. This is before sales tax. You can find the amount after sales tax by multiplying 170 by 1.07. You do this because 100 percent of the cost would be 170 times 1, and 7 percent is .07, so if you want 107 percent of the cost you want to do 170 times 1.07. This works because it takes 7 percent of 170 and adds it to the total cost. You could also do this by 170 times .07. Then add the product to 170. 181.9 is the final answer.
