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Tanya [424]
3 years ago
11

How many whole servings of 3/4 cups are in 3 1/2 cups of ice cream?

Mathematics
1 answer:
Kisachek [45]3 years ago
6 0
Well, what you're going to do is.. turn 3 1/2 into an irregular fraction.

3 = 6/2
we still have the initially 1/2 left so we will add that.
7/2

now we want to change it so that the denominator is equal to 4 so we multiply both top and bottom by 2

14/4

now we divide the 14 by 3 and you will get approximately 4. we will ignore the rest because it asks for whole servings and 3 only goes nicely into 14 4 times
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Mr. Gallagher's science class goes bird watching. The picture graph below shows the number of birds the class observes. A) How m
Liono4ka [1.6K]
A)
Monday and Tuesday: 8*6=48
Thursday and Friday: 10*6=60
60-48=12
The answer is 12 more

B)
48+60=108

Mr mannings class observed 4 more birds than mr Gallagher
4 0
3 years ago
Can someone help me please!!!
Morgarella [4.7K]

Answer: P=1200x+35000

Step-by-step explanation:

Given: A town's population has been growing linearly. In 2003, the population was 35000, and the population has been growing by 1200 (constant rate of change) people each year.

The equation of a line is given by :-

y=mx+c, where m is the slope ( constant rate of change) and c is the initial value of the function.

From the given statement , we have the equation for the population x years after 2003 :-

P=1200x+35000

6 0
4 years ago
How to find the x-intercepts of a parabola from the vertex, (-1,-108) and the y intercept (0,-105)?
Ulleksa [173]

Answer:

* The x-intercepts are -7 and 5

Step-by-step explanation:

* At first lets revise the standard and general forms of the

 quadratic function which represented graphically by the parabola

- f(x) = a(x - h)² + k ⇒ standard form

- Where point (h , k) is the vertex of the parabola

- f(x) = ax² + bx + c ⇒ general form

- Where a, b, c are constant

- c is the y-intercept ⇒ means x = 0

- h = -b/2a

- k = f(h)

* Lets solve the problem

- We will find the equation of the parabola

∵ The vertex is (-1 , -108)

∴ h = -1 and k = -108

∵ y-intercept = -105

- Equate the two forms

∵ ax² + bx + c = a(x - h)² + k ⇒ solve the (   )²

∴ ax² + bx + c = a(x² - 2hx + h²) + k ⇒ open the bracket

∴ ax² + bx + c = ax² - 2ahx + ah² + k ⇒ by comparing the two sides

∴ c = ah² + k

- Substitute the value of c , h , k in it

∴ -105 = a(-1)² + -108

∴ -105 = a - 108 ⇒ add 108 to the both sides

∴ 3 = a

- Lets write the equation in the standard form

∴ y = 3(x - -1)² + -108

∴ y = 3(x + 1)² - 108

* To find the x-intercepts means the parabola intersects the x-axis,

  then put y = 0

∴ 3(x + 1)² - 108 = 0 ⇒ Add 108 to the both sides

∴ 3(x + 1)² = 108 ⇒ divide the both sides by 3

∴ (x + 1)² = 36 ⇒ take square root for both sides

∴ (x + 1) = ± 6

# x + 1 = 6  OR x + 1 = -6

∵ x + 1 = 6 ⇒ subtract 1 from both sides

∴ x = 5

∵ x + 1 = -6 ⇒ subtract 1 from both sides

∴ x = -7

* The x-intercepts are -7 and 5

∴

3 0
3 years ago
Choose the correct measure of an astronomical unit. 9.3 million miles .93 million miles 93 million miles 930 million miles
Genrish500 [490]
By definition, an astronomical unit in miles is given by:
 1 AU = 9.3 * 10 ^ 7 miles

 As it is in exponential notation, then we must rewrite.
 9.3 * 10 ^ 7 = 93,000,000 miles

 Therefore, an astronomical unit is:
 93 million miles
 Answer:
 
93 million miles
8 0
3 years ago
PLEASE HELP TEST DUE IN 10 MINUTES WILL GIVE BRAINLIEST AND GOOD REVIW!
Eva8 [605]

Answer:

y=3/2(x)+4

Step-by-step explanation:

Because line AB is perpendicular to line BC, the slope of AB is equal to 3/2. Substituting (-2,1) into the new equation gives us "1=3/2(-2)+b" which simplifies to 1=-3+b. This means that b=4.

6 0
3 years ago
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