So the expression for total number of straws is: 15p+48b
Step-by-step explanation:
We know that:
Straws in a pack = 15
Straws in a box = 48
Here
p denotes the number of packs and b is the number of boxes.
The product of number of packs and number of straws in a pack will give us the total straws in packs
15*p = 15p
Similarly, the product of number of boxes and number of straws in a box will give us the total straws in box
48*b = 48b
The sum of both will give us the total number of straws
So the expression for total number of straws is: 15p+48b
Keywords: Linear expressions, Variables
Learn more about linear expressions at:
#LearnwithBrainly
Answer:
x = 10
Step-by-step explanation:
Since the line from A is an angle bisector the following ratios are equal
=
, that is
=
( cross- multiply )
8(2x + 1) = 12(x + 4) ← distribute both sides )
16x + 8 = 12x + 48 ( subtract 12x from both sides )
4x + 8 = 48 ( subtract 8 from both sides )
4x = 40 ( divide both sides by 4 )
x = 10
Answer:
The speed of the first car is 60 mph
Step-by-step explanation:
speed = distance/time
Solve the above equation for distance to get
distance = speed * time
or simply
d = st
Now we use this formula for distance to write an equation for each car.
Let s = speed of second car
Then since the speed of the first car is 10 mph faster, the first car's speed is s + 10.
The time the two cars traveled is equal but unknown, so let the time = t.
First car: speed = s + 10; time = t; distance = 120 miles
d = st
120 = (s + 10)t
(s + 10)t = 120 Equation 1
Second car: speed = s; time = t; 100 miles
d = st
100 = st
st = 100 Equation 2
Equations 1 and 2 form a system of 2 equations in 2 unknowns.
(s + 10)t = 120
st = 100
Distribute t in the first equation.
st + 10t = 120
From the second equation we know st = 100, so substitute 100 for st.
100 + 10t = 120
10t = 120
t = 2
The time traveled was 2 hours.
Equation 2:
st = 100
Substitute t with 2.
s * 2 = 100
s = 50
The speed of the second car was 50 mph.
The speed of the first car is s + 10.
s + 10 = 50 + 10 = 60
Answer: The speed of the first car is 60 mph
Answer:
1. quadrilateral
2. kite 3. trapezoid
4. parallelogram 5. isosceles trapezoid
6. rhombus 7. rectangle
8. square
Step-by-step explanation:
20 divided by 1/3 = 6 2/3, therefore Ms Chavez used 6 and two thirds of eggs.