Answer:
7/8 is bigger
Step-by-step explanation:
Given : Two fractions or
To find : Which is bigger in the given fractions.
Solution :
First we compare the fractions to see which is greater by taking the fractions to a common denominator.
The denominator of the given fractions and are 8 and 4 respectively.
Now, we have to make the denominator same
In multiply numerator and denominator by 4
In multiply numerator and denominator by 8
Now, the denominator is same so greater the numerator is greater the fraction.
So,
Therefore,
Answer: The equation is $29 + x*$4.50 = $42.50, and the solution is x = 3
Step-by-step explanation:
The data we have is:
Gonzales has $42.50
He wants to buy:
a shirt that costs $29
some bracelets that cost $4.50 each.
The equation that we need to solve is:
Total cost = money that Gonzales has.
The cost is $29 + x*$4.50
where x is the number of bracelets he can buy.
The equation that we need to solve is:
$29 + x*$4.50 = $42.50
to solve it we must isolate x:
x*$4.50 = $42.50 - $29 = $13.50
x = 13.50/4.50 = 3
So we have that Mr. Gonzales can buy a total of 3 bracelets.
Answer:
The length is 5 times the width
Step-by-step explanation:
Let
W ----> the width of the rectangle
L ----> the length of the rectangle
we know that
The area of rectangle is equal to
In this problem we have
----> equation A
----> equation B
substitute equation B in equation A
therefore
The length is 5 times the width
Answer: $0.72
Step-by-step explanation:
Given The dimensions of the rectangular wall of a large room.
Length of the rectangular wall= 42 feet
Width of the rectangular wall= 25.5 feet
Then the area of the rectangular wall =
The cost of the wallpaper = $771.12
The cost of the wallpaper per square foot=
Hence, the cost of the wallpaper per square foot = $0.72
Answer:
CD = 10
AD = 22
EC = 13
AC = 26
∠CAD = 23°
∠BAC = 47°
∠ADC =110°
Step-by-step explanation:
A parallelogram is a quadrilateral with two sets of opposite parallel lines.
Which mean in ABCD parallelogram given AB is parallel to DC and BC is parallel to AD.
Now lets find the values required,
CD = AB (Opposite sides are equal in length)
But, AB= 10 (given) therefore CD = 10.
AD = BC (Opposite sides are equal in length)
But, BC= 22 (given) therefore AD = 22.
EC = AE (Diagonals bisect each other)
But, AE= 13 (given) therefore EC = 13
AC = AE + EC
=
AC =
∠CAD = ∠BCA (Alternate interior angles are equal)
But, ∠BCA = 23° therefore, ∠CAD = 23°
∠BAC = ∠ACD (Alternate interior angles are equal)
But, ∠ACD = 47° therefore, ∠BAC = 47°
∠ADC + ∠BCD = 180° (Consecutive interior angles)
But, ∠BCD = 23°+47°=70°
∠ADC = 180°- ∠BCD
=180°-70°
∠ADC =110°