Answer:
m∠EBC=34°
Step-by-step explanation:
We establish that
m∠DBC=m∠DBE+m∠EBC
Refer to the accompanying diagram for clarity on the issue
Replace the known values in the equation and determine x
Calculate the size of angle EBC
m∠EBC=(3x+13)°
Insert the value for x
m∠EBC=(3(7)+13)°
m∠EBC=(21+13)°
m∠EBC=34°
Answer: The unknown values x and y correspond to 8 and 20, specifically;
(x, y) = (8, 20)
Step-by-step explanation: The equation y = 16 + 0.5x represents a linear relationship that can be illustrated with a graph. This indicates that values for x and y can be located at various points on the line.
The ordered pairs signify that for each x value, there exists a matching y value.
The values listed in a two-column format for x and y all fulfill the equation y = 16 + 0.5x. Observing the first example, the pair (-4, 14) is presented.
This reveals that when x is -4, y will be 14.
Where y = 16 + 0.5x
y = 16 + 0.5(-4)
y = 16 - 2
y = 14
Thus, the first pair, similar to the other pairs, satisfies the equation.
Consequently, by reviewing the options provided, we can deduce which one fulfills the equation.
(option 1) If x = 0
y = 16 + 0.5(0)
y = 16 + 0
y = 16
(0, 16)
(option 2) If x = 5
y = 16 + 0.5(5)
y = 16 + 2.5
y = 18.5
(5, 18.5)
(option 3) If x = 8
y = 16 + 0.5(8)
y = 16 + 4
y = 20
(8, 20)
Our calculations confirm that the third option (8, 20) is the correct ordered pair for x and y.
Answer:
The correct answer is;
A. 0.17
Step-by-step explanation:
Here are the provided details;
The average time taken for a cashier to handle an order, μ = 276 seconds
The deviation from the average, σ = 38 seconds
The z-score for an order processing time of x = 240 seconds can be calculated as follows;
Thus;
The resulting probability
P(z = -0.9474) = 0.17361
Hence, the estimated proportion of orders processed in under 240 seconds is roughly 0.17361 or 0.17 when rounded to two decimal places.
137 paquetes de vasos, aunque el último solo tiene 7 vasos, es necesario para asegurar que no queden sin empacar.
Answer:
The amount of wool required for a sweater was 400 grams.
A hat needed 80 grams of wool.
A scarf required 75 grams of wool.
Step-by-step explanation:
Let
x ------> grams of wool necessary for a sweater
y -----> grams of wool necessary for a hat
z -----> grams of wool necessary for a scarf
From the information given
x+y+z=555 -----> equation A
y=x/5 ----> x=5y -----> equation B
y=z+5 ---> z=y-5 ----> equation C
By substituting equations B and C into equation A, we can solve for y:
(5y)+y+(y-5)=555
7y=560
y=80 grams
Now, find x
x=5(80)=400 grams
Next, determine z
z=80-5=75 grams
In conclusion,
400 grams of wool was required for the sweater,
the hat needed 80 grams of wool, and
the scarf required 75 grams of wool.
