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Nezavi [6.7K]
3 years ago
10

in a typical bag of skittles, the ratio of red to yellow skittles is 3 to 7. If there are 40 skittles altogether, how many red s

kittles are there?
Mathematics
1 answer:
irina [24]3 years ago
4 0

Answer:

I love Skittles

what's your favorite color?

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△ABC is similar to △XYZ. Also, side AB measures 6 cm, side BC measures 18 cm, and side XY measures 12 cm.
Serggg [28]

Answer:

value of sides YZ is 36 cm

Step-by-step explanation:

Similar triangles states that the length of the corresponding sides are in proportion.

Given that: ΔABC is similar to ΔXYZ

then;

Corresponding sides are in proportion i.e

\frac{AB}{XY}=\frac{BC}{YZ}=\frac{AC}{XZ}    .....[1]

As per the statement:

side AB = 6 cm, side BC =18 cm and side XY = 12 cm.

Substitute these in [1] to solve for side YZ;

\frac{6}{12}= \frac{18}{YZ}

or

\frac{1}{2} = \frac{18}{YZ}

By cross multiply we have;

YZ = 36 cm

Therefore, the value of sides YZ is 36 cm


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3 years ago
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Elaine and her 3 friends purchased snacks after school for $3.60. If each person paid an equal amount, how much did each person
JulsSmile [24]
Every person paid $1.20
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Suggest the best imperial unit to measure:
ella [17]
1-kilometers or miles
2-what is the size of the jug? (If is smal use ml if is large liters
3-grames ou onces
4onces or kilograms
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Answer the following questions: 1. A survey of 100 students in Orange County Community College was taken to see how they preferr
maria [59]

Answer:

a) The variable of interest is the students' preferred way/method of study.

b) The variable of interest is a qualitative variable.

Step-by-step explanation:

a) The survey was setup to investigate the preferred way of study for students in Orange County Community College.

Hence, the variable of interest is the students' preferred way/method of study.

b) Since this variable of interest cannot take on numerical values, it can only be expressed in qualitative means (in the different ways that students study), the variable of interest is a qualitative variable.

Hope this Helps!!!

3 0
3 years ago
What is the equation, in standard form of the parabola that contains the following points? (-2,18), (0,2), (4,42)
Vladimir79 [104]

Answer: y = 3x^{2} - 2x + 2

Step-by-step explanation:

The equation in standard form of a parabola is given as :

y = ax^{2}  + bx + c

The points given are :

( -2 , 18 ) , ( 0,2) , ( 4 , 42)

This means that :

x_{1} = -2

x_{2} = 0

x_{3} = 4

y_{1} = 18

y_{2} = 2

y_{3} = 42

All we need do is to substitute each of this points into the equation , that is , x_{1} and y_{1} will be substituted to get an equation , x_{2} and y_{2} will be substituted to get an equation and x_{3} , y_{3} will also be substituted to get an equation also.

Starting with the first one , we have :

y = ax^{2}  + bx + c

18 = a[(-2)^{2}] + b (-2) + c

18 = 4a  - 2b + c

Therefore :

4a - 2b + c = 18 ................ equation 1

substituting the second values , we have

2 = a (0) + b ( 0) + c

2 = c

Therefore c = 2   ............... equation 2

also substituting the third values , we have

42 = a[(4)^{2}] + b (4) + c

42 = 16a + 4b + c

Therefore

16a + 4b + c = 42  ........... equation 3

Combining the three equations we have:

4a - 2b + c = 18 ................ equation 1

c = 2   ............... equation 2

16a + 4b + c = 42  ........... equation 3

Solving the resulting linear equations:

substitute equation 2 into equation 1 and equation 3 ,

substituting into equation 1 first we have

4a - 2b + 2 = 18

4a - 2b = 16

dividing through by 2 , we have

2a - b = 8 ............... equation 4

substituting c = 2 into equation 3 , we have

16a + 4b + c = 42

16a + 4b + 2 = 42

16a + 4b = 40

dividing through by 4 , we have

4a + b = 10 ................ equation 5

combining equation 4 and 5 , we have

2a - b = 8 ............... equation 4

4a + b = 10 ................ equation 5

Adding the two equations to eliminate b , we have

6a = 18

a = 18/6

a = 3

Substituting a = 3 into equation 4 to find the value of b , we have

2(3) - b = 8

6 - b = 8

b = 6 - 8

b = -2

Therefore :

a = 3 , b = -2 and c = 2

Substituting these values into the equation of parabola in standard form , we have

y = 3x^{2} - 2x + 2

3 0
3 years ago
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