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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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Solve the following equation by combining like terms:<br> x+x+2+3x-6= 31<br> X=
Vesnalui [34]

Answer:

X= 7

Step-by-step explanation:

x+x+2+3x-6=31 Combine x's

2x+2+3x-6=31 Continue to combine x's

5x+2-6=31  Combine whole numbers

5x-4=31  Add 4 to both sides

5x=35 Divide by 5

x=7

4 0
3 years ago
A cone has a base with a radius of 9 mm and a height of 13 mm. What is the volume of the cone?
avanturin [10]

\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}

  • Given - <u>a </u><u>cone </u><u>with </u><u>base </u><u>radius </u><u>9</u><u>m</u><u>m</u><u> </u><u>and </u><u>height </u><u>1</u><u>3</u><u> </u><u>mm</u>

  • To calculate - <u>volume </u><u>of </u><u>the </u><u>cone</u>

We know that ,

Volume \: of \: cone =  \frac{1}{3}\pi \: r {}^{2}  h \\

<u>su</u><u>b</u><u>stituting </u><u>the </u><u>values</u><u> </u><u>in </u><u>the </u><u>formula</u><u> </u><u>,</u>

Volume =  \frac{1}{3}  \times  3.14  \times 9 \times 9 \times 13 \\  \\  \implies \: 1.05 \times 81 \times 13 \\  \\ \implies \: 1105.65 \: mm {}^{3}

hope helpful ~

7 0
2 years ago
Given the vectors u= &lt;2, 1&gt; and v= &lt;5, 4&gt;, determine the components of a vector represented by 2u - 3v
kati45 [8]

Answer:

C.) <-11, -10>

Step-by-step explanation:

Let's define how to work with vectors.

For two vectors:

V = <a, b>

W = <c, d>

The product of a scalar k and a vector is given by:

k*V = k*<a, b> = <k*a, k*b>

And the sum (or difference) of two vectors is given by:

V ± W  = <a, b> ± <c, d> = <a ± c, b ± d>

Now that we know this, we can solve the problem.

Here we have the vectors:

u = <2, 1>

v = <5, 4>

then:

2u - 3*v = 2*<2, 1> - 3*<5, 4>

             = <2*2, 2*1> - <3*5, 3*4>

             = <4, 2> - <15, 12>

             = <4 - 15, 2 - 12>

             = < -11, -10>

Then the correct option is C.

5 0
3 years ago
The population of Hillsborough County in Florida in 2010 was 1,229,226 and the land
Kruka [31]

Answer:

About 1205.12352941 people per square mile in 2010

About 1329.36306853 people per square mile in 2015

Explanation:

take population and divide by land area

for 2015 pop do total pop divided by 9.7 plus total pop

6 0
3 years ago
Eduardo rides his bicycle for 6 hours. What was Eduardo's average speed if he rides a distance of 84 miles? Use the formula d =
german
D = r x t
replace the d with 84 and replace the t with 6 hours
divide 84 by 6 = 84/6
get the quotient 14
84 = 14 x 6
5 0
3 years ago
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