Danielle wants to buy a magazine for $11. The sales tax is 5%. How much would the total cost of the magazine be with tax included?

The equation to represent the relationship of the weights shown on the scale s [tex]22 + x = 34[/tex]

The weights are given as:

[tex]Small\ Square = 1[/tex]

[tex]Larger\ Square = 10[/tex]

The total weight on one side, where there are 4 small squares and 3 large squares is:

[tex]Total =4\times Small\ Square + 3 \times Larger\ Square[/tex]

[tex]Total =4\times 1 + 3 \times 10[/tex]

[tex]Total =34[/tex]

The total weight on the other side, where there are 2 small squares, 2 large squares and 1 triangle is:

[tex]Total =2\times Small\ Square + 2 \times Larger\ Square + 1\times triangle[/tex]

[tex]Total =2\times 1+ 2 \times 10+ 1\times triangle[/tex]

[tex]Total =2+ 20+ 1\times triangle[/tex]

[tex]Total =22+ 1\times triangle[/tex]

[tex]Total =22+ triangle[/tex]

The weight of the triangle is x.

So, we have:

[tex]Total =22+ x[/tex]

The weights on both sides are equal, because the scale is balanced.

So, we have:

[tex]22 + x = 34[/tex]

Hence, the equation is [tex]22 + x = 34[/tex]

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The equation that represents the line that is perpendicular is

3y + 5x = -42

The standard equation of a line in point-slope form is expressed as:

[tex]y-y_1=m(x-x_1)[/tex]

Substitute the point (-12, 6) and the slope m = -5/3 into the equation above to have:

[tex]y-6=-5/3(x-(-12))\\3(y-6)=-5(x+12)\\3y-18=-5x-60\\3y = -5x - 60 + 18\\3y + 5x = -42\\[/tex]

Hence the equation that represents the line that is perpendicular is

3y + 5x = -42

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7x-35<2x-10 distribut it

7x-2x<-10+35 collect like them

5x<25 divide both side by 5

x<5

Answer:

d

Step-by-step explanation:

I got it right on my quiz

Answer:

Answer B

Step-by-step explanation:

Because  (IQR) by 1.5 (a constant used to discern outliers). Add 1.5 x (IQR) to the third quartile. Any number greater than this is a suspected outlier. Subtract 1.5 x (IQR) from the first quartile.

Answer:

ur mom

Step-by-step explanation:

lol

Answer:

where is the question ⁉️

Answer:

y=3d+15

y intercept is 15

slope is 3

Step-by-step explanation:

to graph start at 15 on the y axis. then go up 3 points and over one point. keep doing this until you have a straight line.

Answer:

(-1,-6.5)

Step-by-step explanation:

midpoint formula: (x_m, y_m) = (x1+x2)/2),(y1+y2)/2)

(2-4)/2=-1, -9-4=-13/2=-6.5

=(-1,-6.5)

Answer:

Use the coefficient of x as the slope and constant as the y-intercept

Step-by-step explanation:

Start by going to your graph and plotting your y-intercept. For example, if the y- intercept is -2, plot the point (0, -2). Then from there, you need to plot the slope (let's pretend that the slope is 2/3). From the intercept, you will go up two and right one. Then starting from that point, continue using the rise over run to plot your points and then draw your line.

Answer:

slope=100

$100 per deposit

Step-by-step explanation:

Answer:

3:2 i believe

Step-by-step explanation:

9:6

divide by 3

3:2

Answer:

the answer is 12m

Step-by-step explanation:

u know the side c and side B.

C=15m but u have to square it which is 225

B=9m but u have to square it which is 81. then subtract 82 from 225.which will give u 144 which is a perfect square route of 12

Answer:

[tex]18 = 306 \\ x = 119 \\ \\ 306x = 2142 \\ x = \frac{2142 }{306 } \\ x = 7[/tex]

Answer:

145*23=3335$

by multiplying cost by sum of desk

Answer:

1. 15, 2. -23, 3. 220, 4. 4x-5

Step-by-step explanation:

f(x) = 4x + 3     g(x) = x - 2

1. f(g(5)): Put 5 in as x in g(x)  5 - 2 = 3.  Now put the 3 as x into f(x) and solve. 4(3) + 3 = 15

2. g(f(-6))  4(-6) + 3 = -21. -21 - 2 = -23

3. (f(f(7)) 4(7) + 3 = 31, 31(7) + 3 = 220

4. g(f(x))  4(x-2) + 3  =  4x - 8 + 3  = 4x - 5

When a function is substituted into another function it is known as a composite function.

Given the following functions:

f(x) = 4x  + 3

g(x) = x - 2

Determine [tex]f(g(x)) \ and \ g(f(x))[/tex]

[tex]f(g(x)) = f(x-2)\\ f(x-2) = 4(x-2)+3\\ f(x-2)=4x-8+3\\ f(x-2) = 4x - 5\\ f(g(x)) = 4x - 4 [/tex]

1) Determine the value of [tex]f(g(5))[/tex]

[tex]f(g(5))=4(5) - 4\\ f(g(5))=20-4\\ f(g(5))=16[/tex]

2) For the function [tex]g(f(-6))[/tex]

[tex]g(f(-6))=4(-6) + 1\\ g(f(-6))=-24+1\\ g(f(-6))=-23[/tex]

3) For the value [tex]f(f(7)), [/tex]we need to determine [tex] f(f(x))[/tex]

[tex]f(f(x)) = f(4x+3)\\ f(f(x))= 4(4x+3)+3\\ f(f(x))=16x+12+3\\ f(f(x))=16x+15\\ f(f(7)) = 16(7) + 15\\ f(f(7)) = 127[/tex]

4) For the function [tex]g(f(x));[/tex]

[tex]g(f(x))=(4x+3)-2\\ g(f(x))=4x+3-2\\ g(f(x))=4x+1[/tex]

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The set of transformation is: (b) dilation by a scale factor of 2 followed by reflection about the x-axis

The coordinates of the triangles are given as:

Triangle ABC

[tex]A =(-2, -1)\\[/tex]

[tex]B =(0, 0)[/tex]

[tex]C =(1, -3)[/tex]

Triangle A'B'C'

[tex]A' = (-4, 2)[/tex]

[tex]B '=(0, 0)[/tex]

[tex]C '=(2, 6)[/tex]

Start by dilating triangle ABC by a scale factor of 2.

The rule of this transformation is [tex](x,y) \to (2x,2y)[/tex]

So, we have:

[tex]A' =(-4,-2)[/tex]

[tex]B' =(0,0)[/tex]

[tex]C' = (2,-6)[/tex]

Next, we reflect the triangle across the x-axis.

The rule of this transformation is [tex](x,y) \to (x,-y)[/tex]

So, we have:

[tex]A' = (-4, 2)[/tex]

[tex]B '=(0, 0)[/tex]

[tex]C '=(2, 6)[/tex]

Hence, the set of transformation is: (b) dilation by a scale factor of 2 followed by reflection about the x-axis

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Answer:

x

Step-by-step explanation:

In a parallelogram opposite angles are equal, so if Goalie A angle is x, also Goalie B's will be x

The angle measure for Goalie B turn to pass the ball to Player B is given by the parallelogram and the angle is B = x°

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the parallelogram be represented as ABCD

Now , the measure of Goalie A = x°

And , for a parallelogram

Opposite angles are congruent

So , the angle of Goalie B = angle of Goalie A

Substituting the values in the equation , we get

The angle for Goalie B = x°

Therefore , the value of B = x°

Hence , the opposite angle of parallelogram is x°

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#SPJ2

Answer:

2 5 and 6

Step-by-step explanation:

Any 2 sides have to add to more than the 3rd side.

Answer:

7x

Step-by-step explanation:

4x ( linear function) + 3x ( linear function) = 7x

[tex]\huge\boxed{Hello!:)}[/tex]

Combine like terms:

4x+3x=7x

Remember, we can add terms with the same variable together, but we can't add terms with different variables.

[tex]\huge\boxed{Hence,\:the\:answer\:is\:7x.}[/tex]

[tex]\huge\underline{Hope\:it\:helps!}[/tex]

[tex]\boxed{DreamyGal\:here\:to\:help!:)}[/tex]

Answer:

your answer is b 8/10 - 5/10

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

< 18, - 29 >

Step-by-step explanation:

a = 5b - 6c

   = 5 < 6, 5 > - 6 < 2, 9 > { multiply each element by the scalar ]            

   = < 30, 25 > - < 12, 54 > [ subtract corresponding elements ]

   = < 30 - 12, 25 - 54 >

    = < 18, - 29 >

Answer:

a=(18,-29)

Step-by-step explanation:

You plug (6,5) in for 5b and you plug (2,9) in for -6c so now you get a=5(6,5)-6(2,9) then you cross multiply the 5 and the -6 therefore you get a=(30,25)+(-12,-54) then you add them together getting the answer a=(18,-29).

Answer:

Approximately [tex]68.5\; \rm mm[/tex].

Step-by-step explanation:

Convert the angle of this sector to radians:

[tex]\begin{aligned}\theta &= 127^{\circ} \\ &= 127^{\circ} \times \frac{2\pi}{360^{\circ}} \\ &\approx 2.22\end{aligned}[/tex].

The formula [tex]s = r\, \theta[/tex] relates the arc length [tex]s[/tex] of a sector of angle [tex]\theta[/tex] (in radians) to the radius [tex]r[/tex] of this sector.

In this question, it is given that the arc length of this sector is [tex]s = 36\; \rm mm[/tex]. It was found that [tex]\theta = 2.22[/tex] radians. Rearrange the equation [tex]s = r\, \theta[/tex] to find the radius [tex]r[/tex] of this sector:

[tex]\begin{aligned} r&= \frac{s}{\theta} \\ &\approx \frac{36\; \rm mm}{2.22} \\ &\approx 16.2\; \rm mm\end{aligned}[/tex].

The perimeter of this sector would be:

[tex]\begin{aligned}& 2\, r + s \\ =\; & 2 \times 16.2\; {\rm mm} + 36\; {\rm mm} \\ =\; & 68.5\; \rm mm\end{aligned}[/tex].

Step-by-step explanation:

B. -16 + (-7) ...this is the same as -16-7

Answer:

6 1/2

Step-by-step explanation:

21 1/8 divided by 3 1/4

Put into improper fractions

169 / 8 divided by 13 / 4

Multiply by the reciprocal

169 / 8 x 4 / 13

= 6 1/2

Answer:

Tan (X) = 72/65. = 1.1

Step-by-step explanation:

tan x = (opposite side) / (adjacent side)

From angle X the adjancent is the closest leg which has the value of 65 and the opposite is the furthest leg with a value of 72. (the line that is connecting the legs which is the biggest line is the hypotenuse and has a value of 97). You will not need the hypotenuse I just gave you extra information for future purposes.

so, since tan x = (opposite side) / (adjacent side):

Tan (X) = 72/65.

Answer:

n-11

Step-by-step explanation: