Answer:
37 centimeters
Step-by-step explanation:
First, since the triangles are similar, find out how much larger STR is than HIJ by finding an similar side and dividing the numbers. Since the only similar side that we know both numbers on it ST and HI, so we divide 10 by 4 to get the unit rate, which is 5/2. The missing side on STR is the bottom, so to get it, multiply 6, the bottom of the other triangle, by the unit rate, 5/2, to get the answer of 15. Then, perimeter is all of the sides added up, so 10+12+15=37 cm.
(hope this helps :P)
Answer:
The number of pounds of cashew is 11
Step-by-step explanation:
Let P represent the peanut
Let C represent the cashew nut.
From question, we were told that Elijah brought a total of 16 pounds of peanuts and cashew nuts. This can be written as:
P + C = 16 (1)
The total cost = $49.50
Cost per peanut = $2.75
Cost per cashew = $3.25
The above can be represented as:
49.50 = 2.75P + 3.25C. (2)
From equation 1,
P + C = 16
P = 16 — C
Substitute the value of P into equation 2:
49.50 = 2.75P + 3.25C.
49.50 = 2.75(16 — C) + 3.25C
49.50 = 44 — 2.75C + 3.25C
49.50 = 44 + 0.5C
Collect like terms
49.50 — 44 = 0.5C
5.5 = 0.5C
Divide both side by 0.5
C = 5.5/0.5
C = 11
Therefore, the number of pounds of cashew is 11
Let us assign variables.
Let x = egg mcmuffins
Let y = hash brown
Randy had:
2x + y = 750
Jack had
x + y = 450
Using systems of linear equation, we can get the value for x and y by elimination. Subtract the equations.
2x + y = 750
x + y = 450
--------------
x = 300
Get y
x + y = 450
300 + y = 450
y = 150.
So there are 300 calories for McMuffins and 150 calories for hash brown.
Answer:
the number of siblings for each of student that Angela selected
Step-by-step explanation:
The data that you are interested is the number of siblings for each student in Angela´s school, so the data is centered in the number of siblings for the 200 randomly selected students.
Its like Angela will survey each student and ask for the number of siblings and she will record the answer of her companions of school.
Let's solve your equation step-by-step.
x2−4x+3=0
Step 1: Factor left side of equation.
(x−1)(x−3)=0
Step 2: Set factors equal to 0.
x-1=0 or x-3=0
For this one add one on both sides
x−1+1=0+1 x=1
For this one add 3 on both sides
x−3+3=0+3. x=3
x=1 or x=3
