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VikaD [51]
2 years ago
11

I need help on these 3 problems cause I’m stuck on them someone pls help

Mathematics
1 answer:
Pavlova-9 [17]2 years ago
3 0

Answer:

Step-by-step explanation:

4. Nicole can make 7 quarts of lemonade with 10 cups of sugar.

If 3/4 cup of sugar is used to make 1 quart of lemonade and 10 cups of sugar are available, then you multiply 3 times 10 (when multiplying fractions, you only multiply with the numerator, not the denominator) which will give you 30.

Now, you can write it as 30/4. Using simple division, you find that 30/4 is 7.5 (or 7 and 1/2), and because we're trying to find how many full quarts we can make using 10 cups of sugar, your answer will be 7.

5. Each person will get 0.83 repeating (or 5/6) boxes of raisins.

In this problem, we have 6 people and we have to share 5 boxes of raisins among all of them. We know that each person can't get 1 because there would have to be 6 boxes (1 for each person), so we have a fraction (or decimal, depending on where you're at).

Dividing 5/6, you'll simply get 5/6 because you can't simply this any further, but if you were to write this as a fraction, you'd get 0.83 repeating (over the 3).

6. Each class will receive 30 boxes of cracker jacks.

We know that there are 153 boxes of cracker jacks available, and this needs to then be split among 5 different classes. So, to find the answer, we have to divide 153 by 5. In doing that, we get 30.6, but because we're trying to find the whole number that the classes will receive, as you can't get a fraction of a box (at least, I assume), then each class will get 30 with 3 boxes remaining.

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3. Which equation can not be derived from the equation given below?
daser333 [38]

Answer:

Option A is the correct answer

A.x=2a(b-y)

Step-by-step explanation:

Reason: 2a is not a coefficient of y.

Hope it helps you in your learning process.

7 0
2 years ago
Drag the tiles to the correct boxes to complete the pairs. Match each function to its domain and range.f(x)=5x-3
Viktor [21]

f(x) is a linear function, so both the domain and the range are the set of real numbers.

5 0
2 years ago
Find the maximum/minimum value of the function y = x2 - (5/3)x + 31/36.
AysviL [449]

Answer:

A

Step-by-step explanation:

Given a parabola in standard form, y = ax² + bx + c ( a ≠ 0 ), then

minimum/ maximum value is the y- coordinate of the vertex.

The x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

y = x² - \frac{5}{3} x + \frac{31}{36} ← is in standard form

with a = 1 and b = - \frac{5}{3} , thus

\frac{x}{vertex} = - \frac{-\frac{5}{3} }{2} = \frac{5}{6}

Substitute this value into y

y = (\frac{5}{6} )² - \frac{5}{3} (\frac{5}{6} ) + \frac{31}{36}

   = \frac{25}{36} - \frac{25}{18} + \frac{31}{36} = \frac{1}{6}

Since a > 1 then the vertex is a minimum, thus

minimum value = \frac{1}{6} → A

3 0
3 years ago
What sine function represents an amplitude of 1, a period of 2pi, a horizontal shift of our, and a vertical shift of -4
alexandr1967 [171]

ANSWER

g(x) =  \sin(x  +4)  - 4

EXPLANATION

The basic sine function is

f(x) =  \sin(x)

The transformed sine function has equation

g(x) = a \sin(bx  +c )  + d

where a=1 is the amplitude

2π/b=2π is the period

c/b= 4 is the horizontal shift 4 units left.

d=-4 is a downward vertical shift of 4 units.

The required sine function is:

g(x) =  \sin(x  +4)  - 4

4 0
4 years ago
Find the value of the missing angles denoted by pronumerals in the following figures
Illusion [34]

Answer:

ans: 70°

Step-by-step explanation:

exterior angle of the triangle is equal to the sum of opposite two interior angles

I.e

x° = 30° + 40°

= 70°

7 0
4 years ago
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