Answer: See explanation
Step-by-step explanation:
a. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64 miles per hour.
Speed = Distance / Time
= 112 / 1 45/60
= 112 / 1 3/4
= 112 × 4/7
= 64 miles per hour.
TRUE
b . If 6 pens cost $7.74, then 7 pens cost $9.03.
Cost of one pen = $7.74/6 = $1.29
Cost of 7 pens = $1.29 × 7 = $9.03
TRUE
c. If Raymond drives at a speed of 57 miles per hour, then it takes him 4 hours and 10 minutes to drive 256.5 miles.
Speed = Distance / Time
Speed = 256.5 / 57 = 4.5 = 4 hours 30 minutes
FALSE
d. If 17 identical cans of soup cost $38.59, then 3 of the cans must cost $6.81.
Cost of one can = $38.59 / 17 = $2.27
Cost of 3 cans = $2.27 × 3 = $6.81
TRUE
e. Mr. Mayes buys two dozen eggs for $8.40, which means that he pays 70 cents per egg.
A dozen = 12
2 dozens = 12 × 2 = 24
Cost of one egg = $8.40 / 24 = 0.35 = 35 cents
FALSE
Answer:
D.(1,1)
Step-by-step explanation:
Just plug in each pair of values in the multiple choice answers for x and y.
If we plug in (1,1)
The equation is
4(1) +5(1) ≤ 20
4+5≤ 20
9≤ 20
Since 9 is less than 20 we know statement is true, so we know (1,1) is a solution.
If we were to plug in any other choice like (0,5), the right side of the equation would be greater than 20 and the statement would not be true.
Answer:
Step-by-step explanation:
From the given rectangle,
Length of the rectangle = 5 cm
Width of the rectangle = 10 cm
Ratio of length : width = 1 : 2
Perimeter of the rectangle = 2(l + b)= 150 cm
l + b = 75 -----(1)
Since, l : b = 1 : 2
b = 2l ------(2)
From equations (1) and (2),
l + 2l = 75
3l = 75
l = 25 m
Width 'b' = 2(25) = 50 m
Now we have to draw a rectangle with a scale = 25 : 2
Therefore, Scale factor =
l = 2 cm
Similarly,
w = 4 cm
Now we can draw a rectangle with length = 2 cm and width = 4 cm.
Answer:
30 times
Step-by-step explanation:
Jeanna : Haylee = 2 : 5
The number of times Haylee babysits in one month is unknown, so it is represented as x.
Write a new ratio to represent the scenario
2 : 5 = 12 : x
Ratios can be written as fractions
Rewrite
2/5 = 12/x
Cross multiply (numerator * denominator / numerator * denominator)
2x = 60
x = 30
Haylee babysat 30 times that month
Hope this helps :)
Answer:
30%=3/10
1/4=25% 30%is bigger than 1/4 because 1/4=25% and 3/10=30%
hope this explains your answer!^o^
Step-by-step explanation: