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Alex
3 years ago
5

Find the Constant Rate of Change of the following table: k =

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
8 0

9514 1404 393

Answer:

  10

Step-by-step explanation:

If there is a constant rate of change, its value will be ...

  k = y/x

  k = 250/25 = 10

The constant rate of change is 10.

  y = 10x

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Tyler made 9 1/2 cups of lemonade. He offers 3/4-cup servings of lemonade to some relatives at a family pinic. What is the GREAT
Savatey [412]
Divide the total portion (9 1/2 cups) by the portion size (3/4 cup).

=9 1/2 ÷ 3/4
convert 9 1/2 to improper fraction

=19/2 ÷ 3/4
to divide fractions, multiply by the reciprocal/inverse of 3/4

=19/2 * 4/3
multiply numerators; multiply denominators

=(19*4)/(2*3)

=76/6

=12.666666


ANSWER: The greatest number he can offer servings to is C) 12

Hope this helps! :)
8 0
3 years ago
Read 2 more answers
Quadrilateral OPQR is inscribed in circle N, as shown below. Which of the following could be used to calculate the measure of ∠O
spin [16.1K]

Answer:

m<OPQ + (x+16)° + (6x - 4)° = 360°

Step-by-step explanation:

the sum of interior angles of a polygon with 4 sides is 360

therefore you sum up all of the figures and equate to 360

6 0
2 years ago
Read 2 more answers
I need help ASAP. Thank you :)
kvasek [131]

m∠FDE = 52°

Solution:

Given data:

DE ≅ DF, CD || BE, BC || FD and m∠ABF = 116°

<em>Sum of the adjacent angles in a straight line = 180°</em>

m∠ABF + m∠CBF = 180°

116° + m∠CBF = 180°

m∠CBF = 64°

If CD || BE, then CD || BF.

Hence CD || BE and BE || FD.

Therefore BFCD is a parallelogam.

<em>In parallelogram, Adjacent angles form a linear pair.</em>

m∠CBF + m∠BFD = 180°

64° + m∠BFD = 180°

m∠BFD = 116°

<em>Sum of the adjacent angles in a straight line = 180°</em>

m∠BFD + m∠DFE = 180°

116° + m∠DFE = 180°

m∠DFE = 64°

we know that DE ≅ DF.

<em>In triangle, angles opposite to equal sides are equal.</em>

m∠DFE = m∠DEF

m∠DEF = 64°

<em>sum of all the angles of a triangle = 180°</em>

m∠DFE + m∠DEF + m∠FDE = 180°

64° + 64° + m∠FDE = 180°

m∠FDE = 52°

8 0
3 years ago
What is the range of f(x)=4^x
Lerok [7]

Answer:

y>0

all positive real numbers

Step-by-step explanation:

the range is the output values

this will always be greater than 0

Range : y>0



7 0
2 years ago
Read 2 more answers
Michaela is planning a pizza party for 48 people. she has $200 to buy pizza and soda for the party. Each 12-pack of soda can cos
Dominik [7]
The answer to this question would be: D. <span>200>6P(8.00)+4S(5.00)
</span>

Michaela is planning a pizza party for 48 people and she uses 12-pack of soda and <span>8-slice pizza. That means the pack of soda she needs would be:
48 people/ (12soda/pack)= 4 pack

Then, number the pizza she needs:
48 people/ 8 (slice/pizza)=  6 pizza

She has $200 so the price she can afford should be lower than that. The function would be:
the money she has > number of pizza(price of pizza) + number of soda(price of soda)
</span>200>6P(8.00)+4S(5.00)
7 0
3 years ago
Read 2 more answers
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