Which triangle is a translation of triangle P?

The sales tax rate is 4.3064.306% for the city and 44% for the state. Find the total amount paid for 33 boxes of chocolates at

svp [43]

Answer:

The Total amount of of 33 boxes of chocolates including taxes is $838.358

Step-by-step explanation:

Given as :

The sales tax rate for city = 4.306%

The sales tax rate for the state = 44%

Total number of boxes = 33

The price of each chocolates = $17.13

So , The price of 33 boxes of chocolates = $17.13 × 33

I.e The price of 33 boxes of chocolates = $565.29

Now total tax including state and city = 4.306% + 44% = 48.306 %

So, The tax amount paid for 33 boxes of chocolates = 48.306 % of $565.29

∴ The tax amount paid for 33 boxes of chocolates = 48.306 % × $565.29

= 0.48306× $565.29

= $273.068

∴ The Total amount of of 33 boxes of chocolates including taxes = $565.29 + $273.068 = $838.358

Hence The Total amount of of 33 boxes of chocolates including taxes is $838.358 . Answer

4 0

3 years ago

What is the equation of the line perpendicular to 3x+y= -8that passes through -3,1? Write your answer in slope-intercept form. S

Gekata [30.6K]

Slope intercept form of a line perpendicular to 3x + y = -8, and passing through (-3,1) is $y=\frac{1}{3} x+2$

<u>Solution:</u>

Need to write equation of line perpendicular to 3x+y = -8 and passes through the point (-3,1).

Generic slope intercept form of a line is given by y = mx + c

where m = slope of the line.

Let's first find slope intercept form of 3x + y = -8

3x + y = -8

=> y = -3x - 8

On comparing above slope intercept form of given equation with generic slope intercept form y = mx + c , we can say that for line 3x + y = -8 , slope m = -3

And as the line passing through (-3,1) and is perpendicular to 3x + y = -8, product of slopes of two line will be -1 as lies are perpendicular.

Let required slope = x

$\begin{array}{l}{=x \times-3=-1} \\\\ {=>x=\frac{-1}{-3}=\frac{1}{3}}\end{array}$

So we need to find the equation of a line whose slope is $\frac{1}{3}$ and passing through (-3,1)

Equation of line passing through $(x_1 , y_1)$ and having lope of m is given by

$\left(y-y_{1}\right)=\mathrm{m}\left(x-x_{1}\right)$

$\text { In our case } x_{1}=-3 \text { and } y_{1}=1 \text { and } \mathrm{m}=\frac{1}{3}$

Substituting the values we get,

$\begin{array}{l}{(\mathrm{y}-1)=\frac{1}{3}(\mathrm{x}-(-3))} \\\\ {=>\mathrm{y}-1=\frac{1}{3} \mathrm{x}+1} \\\\ {=>\mathrm{y}=\frac{1}{3} \mathrm{x}+2}\end{array}$

Hence the required equation of line is found using slope intercept form

4 0

2 years ago

What is the slope intercept form of an equation that goes through (-3,-5) and slope is 3/7

svet-max [94.6K]

Answer:

Step-by-step explanation:

Point slope form: y−7=34(x−3)

Slope intercept form: y=34x+194..or..y=34x+434

Explanation:

Since you have one point and the slope, you can use the point slope formula, then solve for y to get the slope intercept form, so that you can determine the y-intercept (b). Then you can graph the resulting equation.

Point slope formula

y−y1=m(x−x1), where x1,y1=(3,7), and m=34 is the slope.

Substitute the given values into the formula.

7 0

3 years ago

3a.) Today, everything at a store is on sale. The store offers a 20% discount. 1 poin

Novay_Z [31]

Answer:

14.40

Step-by-step explanation:

100%-> 18

100-20=80

80%-> 14.40

6 0

3 years ago

The base of a triangular garden measures 5.5 feet. It takes 33 pounds of mulch to cover the garden. If 4 pounds of mulch are nee

Stells [14]

The dimensions given when you have a triangle is the base and height of the triangle. The formula for the area is

A = 0.5bh

The unknown here is h. We can determine that from the cost of mulch that covers the whole area of the triangle. The equation would be:

4A = 33

Substituting A = 0.5*5.5*h = 2.75h to the equation:

4(2.75h) = 33
11h = 33
h = 33/11
h = 3 feet

4 0

3 years ago