Answer:
Step-by-step explanation:
STEP 1:
2/3 + 7/10 = ?
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(2/3, 7/10) = 30
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
* 
+ 
= ?
Complete the multiplication and the equation becomes
The two fractions now have like denominators so you can add the numerators.
Then:
This fraction cannot be reduced.
The fraction 41/30
is the same as
41 divided by 30
Convert to a mixed number using
long division for 41 ÷ 30 = 1R11, so
41/30 = 1 11/30
Therefore:
2/3+7/10= 1 11/30
STEP 2:
41/30 + -2/3
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(41/30, -2/3) = 30
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
The two fractions now have like denominators so you can add the numerators.
Then:
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 21 and 30 using
GCF(21,30) = 3
Therefore:
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Answer:
B and R
I think that is the name of the lines. If not the the first two lines!!!!
Answer: The cost of one rose bush is $7 and the cost of one shrub is also $7
Step-by-step explanation:
The situtation can be represented by the systems of the equations.
10x + 4y = 98 x in this case is the cost of one rose bushes
9x + 9y = 126 y is the cost of one shrub.
Solve the system of equation using the elimination method.
10x +4y = 98
9x + 9y = 126 eliminate the y variable so you will have to multiply 9 on top and -4 down.
9(10x +4) = (98)(9)
-4(9x + 9y) = 126(-4)
You will now have the new two systems of equations
90x +36y = 882
-36x +-36y = -504 Now add the equations
0 + 54x = 378
54x = 378
x= 7
Now we know that the cost of one rose bush is 7 so we will plot it into one of the equations and solve for the cost of one shrub.
90(7) +36y=882
630 +36y = 882
-630 -630
36y = 252
y = 7
Check: 10(7) + 4(7)= 98
70 + 28 = 98
98= 98
so one rose bush is actually 7 dollars the same as 1 shrub.
Answer:
A reflection in the line y = -2, then a translation 2 units right.
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Rigid transformation are transformation that preserves the shape and size of the object. Rotation, reflection, translation are rigid transformation whereas dilation is not a rigid transformation.
Any transformation regarding dilation changes the side length of the object and hence the area.
From the question, only one option is right. The rest options are not right because they involve dilation. The correct option is:
A reflection in the line y = -2, then a translation 2 units right.
Answer:
See below. A=45 p=39.64
Step-by-step explanation:
Hi = 9 squares (h)
Gh= 14 squares. (b)
Area of a triangle = 1/2 bxh
1/2 14 x 9
7x9= 45.
Area =45 squares.
Perimiter
A= side hi (9)
B= side gh (14)
C= side gi (unknown)
A^2 + b^2 = c^2
9^2 + 14^2 = 277
C^2 = 277
Square root of 277 =c
C length =16.64 squares
A+b+c = perimeter
9+14+16.64 = 39.64 squares.
Sorry I cannot see the units of measure in the photo
