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Tomtit [17]
3 years ago
9

Daisy spent a total of $31 before tax on ice cream. the table below shows the different flavors she bought. a carton of strawber

ry ice cream costs $1.50 more than a carton of vanilla ice cream. which system of equations can be used to calculate s, the cost before tax for 1 carton of strawberry ice cream, and v, the cost before tax for 1 carton of vanilla ice cream?
Mathematics
1 answer:
notsponge [240]3 years ago
5 0
The cost of 1 vanilla ice cream and 1 strawberry ice cream should total to $31. Since you only bought one of each flavor, you simply have to add their unit prices. 

Cost for 1 carton of strawberry ice cream + Cost for 1 carton of vanilla ice cream = Total Cost
Total Cost = s + v  --> this is the general equation

Since s = 1.5 + v, the modified equation would be
Total Cost = 1.5 + v + v
Total Cost = 1.5 + 2v
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1st rectangle:

width: 2.48cm

length: 4.96

2nd rectangle:

width: 4.96 (equals to the length of the 1st rectangle)

area: 9.92

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2 years ago
Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds a
kirill115 [55]

Answer:

12 feet per second.

Step-by-step explanation:

Please consider the complete question.

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds after she jumps for the bone can be representedh(t)=-16t^2+20t.

What is Spot's average rate of ascent, in feet per second, from the time she jumps into the air to the time she catches the bone at t=1/2?  

We will use average rate of change formula to solve our given problem.

\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}

\text{Average rate of change}=\frac{h(\frac{1}{2})-h(0)}{\frac{1}{2}-0}

\text{Average rate of change}=\frac{-16\cdot(\frac{1}{2})^2+20\cdot \frac{1}{2}-(-16\cdot(0)^2+20\cdot (0))}{\frac{1}{2}-0}

\text{Average rate of change}=\frac{-16\cdot\frac{1}{4}+10-(0)}{\frac{1}{2}}

\text{Average rate of change}=\frac{-4+10}{\frac{1}{2}}

\text{Average rate of change}=\frac{6}{\frac{1}{2}}

\text{Average rate of change}=\frac{2\cdot 6}{1}

\text{Average rate of change}=12

Therefore, Spot's average rate of ascent is 12 feet per second.

3 0
3 years ago
Solve the following -1/2x(8x +4)
antoniya [11.8K]

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3 0
3 years ago
Jane has a average score of 73% on three quizzes. What must she score on the next quiz to have an average of 78%?
Ket [755]

Answer:

93

Step-by-step explanation:

The average is calculated as

average = \frac{sum}{count}

On 3 quizzes

\frac{sum}{3} = 73 ( multiply both sides by 3 )

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On 4 quizzes, letting x be the score on fourth test

\frac{sum+x}{4} = 78 ( multiply both sides by 4 )

sum + x = 312 , that is

219 + x = 312 ( subtract 219 from both sides )

x = 93

She must score 93 on the next quiz

4 0
2 years ago
A trapezoid is broken into a triangle and rectangle. The rectangle has a base of 10 centimeters and a height of 12 centimeters.
masya89 [10]

Answer:

area of rectangle = 120 cm²

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Step-by-step explanation:

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12 * 4 = 48

48 / 2

add the triangle and rectangle area together

6 0
2 years ago
Read 2 more answers
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