The table shows the discount and sales tax rate applied to a sheet set
Original price $59.99
1
Discount
off
3
Sales tax 4.1%
What is the final cost of the sheet set?

x is 146 degrees

This is because angle y and angle x are supplementary, which means their measures add up to 180 degrees

180 - 34 = 146

Answer: x = 146°

Step-by-step explanation:

Given that y = 35°, Using linear pair

x+y = 180

x+35=180(Substitute value of y)
x=180-35(Transposition Method)

x=145°

Answer:

A.

Step-by-step explanation:

The vertical line test is a way of finding out if a relation is a function.

Graph the relation.

Then imagine a vertical line moving from left to right over the graph of the relation.

If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.

This function passes the vertical test since it never intersects more than one point on the vertical line at a time.

Answer: A.

The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = Initial activity * Decay factor

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = Initial activity - 20 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = Remaining activity * Decay factor

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30

Calculate the remaining volume at 9:30:

Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume

Let's perform the calculations step by step:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = 180 mCi * 0.841 = 151.38 mCi

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = 180 mCi - 20 mCi = 160 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30

Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml

Calculate the remaining volume at 9:30:

Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml

Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

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Answer:

243

Step-by-step explanation:

3*3*3*3*3

Answer:

what do you need?

Step-by-step explanation:

Answer:

The first is

Basketball : 2

Football :0

Nd da 3rd one (donno da name) : 4

Step-by-step explanation:

Please mark as brainliest

Answer:

The x-intercept is 2, or B.

Step-by-step explanation:

Substitute 0 in for y to solve for X. 5x=10 -> x=2

Answer:

Step-by-step explanation:

5x-2y=10

divide by 10 to make right hand side=1

\(\frac{x}{2} +\frac{y}{-5} =1\)

x-intercept=2

y-intercept=-5

Answer:

x=-3

Step-by-step explanation:

(3x-15)/2 = 4x

Multiply each side by 2

(3x-15)/2 *2= 4x*2

3x-15 = 8x

Subtract 3x from each side

3x-15-3x = 8x-3x

-15 = 5x

Divide each side by 5

-15/5 = 5x/5

-3 =x

Answer:

X=-3

Step-by-step explanation:

Answer:

Step-by-step explanation:

If person A can paint the house in 'a' days, then person B takes 3a days. Each day, the total amount of house painted when they work together is ...

  1/a + 1/(3a) = 1/10

  4/(3a) = 1/10 . . . combine terms

  40 = 3a . . . . . . . cross multiply

  a = 40/3 = 13 1/3 . . . . . divide by 3

A can paint the house in 13 1/3 days.

B can paint the house in 40 days.

Answer:

15 more bags.

Step-by-step explanation:

360/6= 60.

270/6=45

60-45=15.

Hope this helps. <3

The percentage of the variation in height that is explained by a regression on age is 0.64, which is the right answer.

from the aforementioned case, The relationship between children's age and height is strongly correlated, as evidenced by the correlation coefficient R of 0.8. Given the correlation coefficient value, we can calculate the coefficient of determination (R2), which indicates the proportion of variation that the regression model can account for.

Therefore, R2 = 0.82 = 0.64, which is the coefficient of determination. Therefore, the proportion of the variation in children's height that can be attributed to age is 0.64 and the remaining 0.36 can be attributed to other factors.

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The point such that the coordinate is 5;3 is (14, 0)

The formula for finding the midpoint of a line in the ratio m:n is expressed as:

M(x, y) = {(mx₁+nx₂)/2, (my₁+ny₂)/2,}

Given the coordinate of G and D on the line as G(5, 0) and D(1,0)

Since there is no y-axis, hence;

x = 5(5)+1(3)/2

x = 25+3/2

x = 28/2

x =14

Hence the point such that the ratio is 5;3 is (14, 0)

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The linear equation written in the slope-intercept form is:

y = (-3/5)*x

The correct option is C.

A general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

Here we can see that the line crosses through the poin (0, 0), so the y-intercept is 0.

b = 0

y = a*x + 0

y = a*x

To find the value of a, we can use another point on the graph.

We can see that the linear equation passes through (5, - 3), replacing these values:

-3 = a*5

-3/5 = a

Then the linear equation is just:

y = (-3/5)*x

The correct option is C.

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\(\qquad\qquad\huge\underline{{\sf Answer}}\)

Let's find the volume of the given figure ~

\(\qquad \sf  \dashrightarrow \:Volume_{(cuboid)}= length \cdot width \cdot height \)

\(\qquad \sf  \dashrightarrow \:Volume_{(cuboid)}= 4 \cdot x \cdot x \)

\(\qquad \sf  \dashrightarrow \:Volume_{(cuboid)}= 4 {x}^{2} \)

So, the correct choice is ~ C

Volume

Option C

Answer: x = $1.75

Step-by-step explanation:

Let's assume that the cost of each sparking plug is x dollars. Then, the cost of the fan belt is x + $1.75 since it costs $1.75 more than each sparking plug.

According to the problem, the total cost of four sparking plugs and a fan belt is $10.50. We can express this as an equation:

4x + (x + $1.75) = $10.50

Simplifying and solving for x, we get:

5x + $1.75 = $10.50

5x = $8.75

x = $1.75

Therefore, each sparking plug costs $1.75 and the fan belt costs $3.50 ($1.75 + $1.75).

Answer:

\( w = 7 \)

Step-by-step explanation:

Given:

m<FGK = (7w + 3)°

m<FGH = 104°

angle bisector of <FGH = GK

Required:

Value of w

SOLUTION:

Since GK bisects angle FGH, it divides the angle into two equal parts. Therefore, the following equation can be generated to find the value of w:

m<FGH = 2*m<FGK

\( 104 = 2*(7w + 3) \) (substitution)

Divide both sides by 2

\( \frac{104}{2} = \frac{2*(7w + 3)}{2} \)

\( 52 = 7w + 3 \)

Subtract 3 from each side

\( 52 - 3 = 7w + 3 - 3 \)

\( 49 = 7w \)

Divide both sides by 7

\( \frac{49}{7} = \frac{7w}{7} \)

\( 7 = w \)

\( w = 7 \)

Answer:

100

Step-by-step explanation:

16x + 19x + 5 = 180   {co-interior angles are supplementary}

Combine like terms;

35x + 5 = 180

Subtract 5 from both sides

35x = 180 - 5

35x = 175

Divide both sides by 35

x = 175/35

x = 5

19x + 5 = 19*5 + 5

           = 95 + 5

           = 100

Answer:

100⁰

Step-by-step explanation:

co interior angles add up to 180⁰

so l9x+5+16x=180⁰

35x+5⁰=180⁰

35x=180⁰-5⁰

35x=175⁰

Divide both side by the co-efficient of x which is 35

35x/35=175⁰/35⁰

x=5

Now to find the value of 19x+5,we have to substitute any x in it by 5

so 19x+5

19(5)+5

95+5

100⁰

Thanks. I hope it will be helpful to you

Let's assume x gallons of milk containing 8% butterfat and y gallons of milk containing 2% butterfat are used.

The total amount of milk is x + y gallons, and we want it to be equal to 258 gallons.

To determine the amount of butterfat in the mixture, we can multiply the volume of each type of milk by its respective butterfat percentage and sum them up.

For milk containing 8% butterfat, the amount of butterfat is 0.08x (8% is equivalent to 0.08 as a decimal).

For milk containing 2% butterfat, the amount of butterfat is 0.02y (2% is equivalent to 0.02 as a decimal).

Since we want the final mixture to contain 7% butterfat, we can set up the following equation:

0.08x + 0.02y = 0.07(258)

Simplifying the equation, we have:

0.08x + 0.02y = 18.06

To solve for x and y, we need another equation. Since the total amount of milk is x + y = 258, we can rearrange it to y = 258 - x.

Substituting this value into the equation above, we get:

0.08x + 0.02(258 - x) = 18.06

Solving this equation will give us the values of x and y, which represent the gallons of milk containing 8% butterfat and 2% butterfat, respectively, needed to obtain the desired 258 gallons.

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The answer is:

The first one goes from x = -6 to x = -1

Then let's calculate the slope of the line. We can grab 2 points, (-6, 4) and (-5, 3). And we can use the formula for the slope of the line:

The formula for the total area of a circle is the following:

where r is the radius of the circle (12 in this case).

The total area of this circle then is

The circle in total has 360 degrees, of which you only want the area that 150 degrees of this circle. To do this, you must find the percentage of the circle you want to find, like this:

Then, the area of the sector you must find is the total area by the percentage of that area:

Answer:

gross income - ( required deductions + optional deductions )

Answer:

L + L + W + W

Step-by-step explanation:

To find the perimeter of a rectangle, you add the Lengths and Widths. So for a rectangle if the width was 1 and the length was 2, you would do 2 + 2 + 1 + 1, which would get you 6. This is different from the area because in the area you multiply L x W, because you are finding the area inside the shape. With finding the perimeter, you are finding the length of the outside.

The computation of the equations is illustrated below.

a. x - y = 1 .... i

x + y = -9 ..... ii

Subtract the equations

-2y = 10

y = 10/-2 = -5

Since x - y = 1

x - (-5) = 1

x + 5 = 1

x = 1 - 5 = -4

b. 3x + 2y = -9

x - y = -13

Multiply equation i by 1

Multiply equation ii by 3

3x + 2y = -9

- 3x - 3y = -39

5y = 30

y = 6

Since x - y = 13

x - 6 = 13

x = 13 + 6 = 19

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Answer:

Step-by-step explanation:

18 * 10 - 8 * 4    (remember pemdas)

180 - 32 =

148 cm²

Answer:

it would take her 42 mins

Step-by-step explanation:

Answer:

\(C_{22} = 389\)

\(Max(A_{31}) =376\)

Step-by-step explanation:

Given

See attachment for complete question

Solving (a): The entry C22

First, matrix C represents the inventory at the end of July.

The entry of C is calculated as:

\(C = Inventory - Sales\)

i.e.

\(C = \left[\begin{array}{ccc}543&356&643\\364&476&419\\376&903&409\end{array}\right] - \left[\begin{array}{ccc}102&78&97\\98&87&59\\54&89&79\end{array}\right]\)

\(C = \left[\begin{array}{ccc}543-102&356-78&643-97\\364-98&476-87&419-59\\376-54&903-89&409-79\end{array}\right]\)

\(C = \left[\begin{array}{ccc}441&278&546\\266&389&360\\322&814&330\end{array}\right]\)

Item C22 means the entry at the second row and the second column.

From the matrix

\(C_{22} = 389\)

Solving (b): The maximum A31 possible.

From the given data, we have:

\(Inventory = \left[\begin{array}{ccc}543&356&643\\364&476&419\\376&903&409\end{array}\right]\)

\(Unit\ Sales = \left[\begin{array}{ccc}102&78&97\\98&87&59\\54&89&79\end{array}\right]\)

From the matrices above.

A31 means entry at the 3rd row and 1st column.

So, the possible values of A31 are:

\(A_{31} = 376\)

and

\(A_{31} = 54\)

By comparison, 376 > 54

So:

\(Max(A_{31}) =376\)  

Answer:

g=9

Step-by-step explanation:

Step-by-step explanation:

70=7(g+1)

70=7g+7

63=7g

9=g

Answer:

-11/12 − 1/6

-3/5 + 3/20

-2/3 + 1/12

Step-by-step explanation: