Answer:the number of cupcakes that Sue purchased is 12
Step-by-step explanation:
Let x represent the number of cupcakes that Sue purchased at the bakery.
Let y represent the number of cookies that Sue purchased at the bakery.
She needs to serve 36 people. This means she would purchase a total of 36 people. Therefore,
x + y = 36
Cupcakes cost $2.50 each, cookies cost $1.00 each. She spends $54.00. This means that
2.5x + y = 54 - - - - - - - - - 1
Substituting x = 36 - y into equation 1, it becomes
2.5(36 - y) + y = 54
90 - 2.5y + y = 54
- 2.5y + y = 54 - 90
- 1.5y = - 36
y = - 36/ - 1.5
y = =24
x = 36 - y = 36 - 24 = 12
Answer:
51°
Step-by-step explanation:
Remember, all 3 angles must add up to 180°
We can tell that this triangle is a right triangle, or a triangle that has a 90° angle. We also have another angle given, which is 39°. Currently we have two angles given.
Since all 3 angles have to add up to 180°,
90 + 39 + x = 180°
129 + x = 180°
180 - 129 = x
x = 51°
The missing angle is 51°
To see if your calculation is correct, you could add all 3 angles, and it should give you 180 as a sum.
90 + 39 + 51 = 180
Correct!
10.5 - 8.7 = 1.8
There is 1.8 feet of pipe left
Answer:
2x + 8 = 12
x = 2
4x = 2 = 10
Step-by-step explanation:
Answer:
a) The number of correct answers
b) Discrete
c) Ratio
Step-by-step explanation:
We are given the following in the question:
Experiment:
Evaluate the effectiveness of different study strategies. All students were then given a test on the passage material and the researchers recorded the number of correct answers.
a) The dependent Variable
The number of correct answers given is the dependent variable because it depends on the number of times the passage is read.
b) Nature of dependent variable.
- It is a discrete variable.
- Since, the number of questions will always be expressed in whole numbers and cannot be expressed as decimals.
- They are always counted and not measured.
c) Scale of measurement
- Ratio is used to measure the dependent variable because true zero for the number of correct questions answered exist.
- If the measure is zero that means truly no questions were answered correctly.
