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GenaCL600 [577]

3 years ago

5

Jean is trying to read her grocery receipt , but it is blurry . the sales tax rate was 7.75% . she pays tax only on the Items la

beled with a t .
how much sales tax did she pay ?

dog food $12.97 T, hand soap $3.39 T, peanut butter $2.99 F, past $1.12 F

sales tax =$

1 answer:

Margaret [11]3 years ago

5 0

$12.79+$3.39=$16.18
$16.18+7.75% tax is $1.253

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write the x and y coordinate (in the second and third column, respectively) of dilation of quadrilateral ABCD with vertices A(1,

gayaneshka [121]

Answer:

The coordinates of the dillated vertices are $A'(x,y) = (2,2)$ , $B'(x,y) = (4,4)$ , $C'(x,y) = (8,2)$ and $D'(x,y) = (4,-2)$ .

Step-by-step explanation:

From Linear Algebra, we define dilation by the following equation:

$P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)]$ (1)

Where:

$O(x,y)$ - Center of dilation, dimensionless.

$P(x,y)$ - Original point, dimensionless.

$k$ - Scale factor, dimensionless.

$P'(x,y)$ - Dilated point, dimensionless.

If we know that $O(x,y) = (0, 0)$ , $k = 2$ , $A(x,y) = (1,1)$ , $B(x,y) = (2,2)$ , $C(x,y) = (4,1)$ and $D(x,y) = (2,-1)$ , then the dilated points are, respectively:

Point A

$A'(x,y) = O(x,y) + k\cdot [A(x,y)-O(x,y)]$ (2)

$A'(x,y) = (0,0) + 2\cdot [(1,1)-(0,0)]$

$A'(x,y) = (2,2)$

Point B

$B'(x,y) = O(x,y) + k\cdot [B(x,y)-O(x,y)]$ (3)

$B'(x,y) = (0,0) + 2\cdot [(2,2)-(0,0)]$

$B'(x,y) = (4,4)$

Point C

$C'(x,y) = O(x,y) + k\cdot [C(x,y)-O(x,y)]$

$C'(x,y) = (0,0) + 2\cdot [(4,1)-(0,0)]$

$C'(x,y) = (8,2)$

Point D

$D'(x,y) = O(x,y) + k\cdot [D(x,y)-O(x,y)]$

$D'(x,y) = (0,0) + 2\cdot [(2,-1)-(0,0)]$

$D'(x,y) = (4,-2)$

The coordinates of the dillated vertices are $A'(x,y) = (2,2)$ , $B'(x,y) = (4,4)$ , $C'(x,y) = (8,2)$ and $D'(x,y) = (4,-2)$ .

4 0

3 years ago

On saturday, you bowl at mar vista bowl, where renting shoes costs $2 and each game bowled is $3.50. on sunday, you bowl at pinz

ExtremeBDS [4]

Given, at Mar Vista bowl the cost of renting shoes = $2.

The cost for each game bowled = $3.50

There are g games given. So the cost for g games bowled = $ $(3.50)(g)$ = $ $(3.50g)$

The total amount soent at Mar Vista Bowl = $ $(2+3.50g)$

At Pinz, the cost for shoe rental = $5.

The cost for each game bowled = $3.25.

So the cost for g game bowled = $ $(3.25)(g)$ = $ $(3.25g)$

Total amount spent at Pinz = $ $(5+3.25g)$

Given, the amount spent ateach of the places is same.

so we can write the equation as,

$2+3.50g = 5+3.25g$

We will move 3.25 to the left side by subtracting it from both sides. we will get,

$2+3.50g-3.25g = 5+3.25g-3.25g$

$2+0.25g = 5$

Now we will move 2 to the right side by subtracting 2 from both sides. We will get,

$2+0.25g-2 = 5-2$

$0.25g = 3$

Now to get g we will divide 0.25 to both sides. We will get,

$\frac{0.25g}{0.25}= \frac{3}{0.25}$

$g =\frac{3}{0.25}$

$g = 12$

So we have got the required answer.

The number of games bowled = 12.

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3 years ago

Mrs Omar runs the school tennis club. She has a bin of tennis balls and rackets for every 5 tennis balls in the bin there are 5

irakobra [83]

Answer:

x=y

Step-by-step explanation:

-let x be the number of tennis balls and y the number of rackets.

-We divide the number of balls by the number of rackets to find out their ratio of proportionality:

$\frac{x}{y}=\frac{5}{5}=\frac{1}{1}\\\\\\=>x:y$

-Hence, for each one tennis ball, there is a tennis racket.

#This is a direct linear relationship and is modeled as graphed in the attachment:

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3 years ago

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irina1246 [14]

Answer:

Today: Thursday, 05 November 2020

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4 0

3 years ago

Suppose f is a linear function . If f(8)-(3)=80, then what is f(18)-f(14)

worty [1.4K]

Answer:

64

Step-by-step explanation:

The common difference is 80 / (8 - 3)

= 16

So f(18) - f(14) = (18 - 14) * 16

= 54

5 0

3 years ago

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