Choose the equation that represents the line passing through the point (2, - 5) with a slope of −3.

y = −3x − 13
y = −3x + 11
y = −3x + 13
y = −3x + 1

Answer:

The 8th term in the sequence is -128

Step-by-step explanation:

The given series is a geometric progression (G.P) with the starting term as -1.

Let the starting term be a and the common ratio be r.

a = -1

r = 2

The formula for the nth term of a geometric progression (G.P) :

[tex]nth\:term=ar^{n-1}[/tex]

n = 8

[tex]The\:8th\:term=ar^{7}=(-1)\times2^{7}=-128[/tex]

Therefore, the 8th term in the sequence is -128

Answer:

$0.89/1        the cost is $0.89.

Step-by-step explanation:

cost over lb

13.35/15

unit rate means for 1 so divide 15 by 15 to get  1  

what ever u do to the denominator do to the numerator so divide 13.35 by 15

13.35/15 divided by 15/15= 0.89/1

$0.89 for 1 lb

The unit rate is $0.89 per pound when 15 pounds cost $13.35. The cost for any other quantity can be found by multiplying the unit rate by the desired number of pounds.

To find the unit rate, which is the cost per pound in this case, you would divide the total cost by the number of pounds. The question states that 15 pounds of an item cost $13.35. Therefore, the unit rate is calculated as $13.35 divided by 15 lb, which equals $0.89 per pound.

The cost is already given as $13.35 for the 15-pound quantity. If you need to find the cost for a different quantity, you can multiply the unit rate by that quantity. For example, if you need to know the cost of 1 pound, it would be $0.89, while the cost for 5 pounds would be 5 multiplied by $0.89, which equals $4.45.

Answer: 345

Step-by-step explanation:

15% + 100% = 115%

100%.......300£

115%..........x£

x = 115*300/100

x= 345

Final answer:

To find the new price of the laptop after a 15% increase, add the 15% increase to the old price of £300 to get £345.

Explanation:

The new price of the laptop is £345.

Answer:

x = 40°

Step-by-step explanation:

Given that ∠SRT ≅ ∠STR

Then ∠STR = 20

∠STR  and ∠STU are what you call supplementary angles. This means that the sum of their measurements is equal to 180° because they form a straight line.

So if:

∠STR + ∠STU = 180°

m∠STU = 4x

m∠STR = 20

Then:

4x + 20° = 180°

Now we solve for x:

[tex]4x + 20 = 180\\\\Subtract\;20\;from\;both\;sides\;of\;the\;equation\\\\4x + 20 - 20 = 180 - 20\\4x = 160\\\\Divide\;both\;sides\;of\;the\;equation\;by\;4\\\\\dfrac{4x}{4}=\dfrac{160}{4}\\\\x = 40[/tex]

x = 40°

Answer: OPTION A.

Step-by-step explanation:

Let be "x" the amount of cups of mayonnaise that he will need to make 1 cup of tuna fish salad and "y" the amount of cups of mayonnaise that he will need to make 9 times the recipe.

Knowing that it takes [tex]\frac{1}{4}\ cups[/tex] of mayonnaise to make [tex]\frac{3}{4}\ cups[/tex] of tuna fish salad, we can set up the following proportion:

[tex]\frac{\frac{1}{4}}{\frac{3}{4}}=\frac{x}{1}[/tex]

Solving for "x", you get:

[tex]\frac{\frac{1}{4}}{\frac{3}{4}}=\frac{x}{1}\\\\\frac{1}{3}=\frac{x}{1}\\\\x=\frac{1}{3}[/tex]

So "y" will be:

[tex]y=9x[/tex]

Substituting the value of "x" into the equation, we get:

[tex]y=9(\frac{1}{3})\\\\y=3[/tex]

Final answer:

Cory will need 3 cups of mayonnaise to make 9 times the recipe for 1 cup of tuna fish salad.

Therefore, the correct answer is 3 cups of mayonnaise (Option A).

Explanation:

To find out how much mayonnaise Cory will need to make 9 times the recipe for 1 cup of tuna fish salad, we need to calculate the proportional amount of mayonnaise.

It takes 1/4 cups of mayonnaise to make 3/4 cups of tuna fish salad.

So, the ratio is 1/4 : 3/4.

To find the amount of mayonnaise needed for 1 cup of tuna fish salad, we scale the ratio by multiplying both sides by 4/3: 1/4 * 4/3 = 1/3 cup of mayonnaise.

Therefore, for 9 times the recipe, Cory will need 9 * 1/3 = 3 cups of mayonnaise.

Answer:

1 page per 14/27 minute

Step-by-step explanation:

9/7 page / 2/3 min =

1 page / 2/3 * 7/9 min =

1 page / 14/27 min

Answer:

The points are dilated by the scale factor of 5

Step-by-step explanation:

To find the scale factor you need to find what number gets the first point to the second. So -3*?=-15 5 and -2*?=-10 also 5 and the scale factor has to be the same for both numbers.

Answer:

642

Step-by-step explanation:

639 -127 = x -130

x = 639 -127 +130 = 639 +3 = 642

Answer:

642

Step-by-step explanation:

use inverse operations

first find the difference of 639 and 127 to get 512

then using inverse operations add 512 to 130 to get 642

check by subtracting 642 by 130 to get 512

Answer:

3,833 for $28

2167 for $40

Step-by-step explanation:

Let X be the number of tickets sold at the price of $24, And Y be the number of tickets sold at the price of $40.

Now,   $ 28X will be the revenue generated due to the $28 tickets

And,   $40Y will be the revenue generated due to the 40$ tickets.

Now, Total revenue generated should be $194400.

Thus ,   28X + 40Y  = 194400  -(1).

Also,

Total number of seats in theater is 6000.

So, X + Y = 6000.  -(2)

X = 6000 - Y.

Put in equation 1

We get ,    168,000 - 28Y + 40Y = 194,400

                   12Y = 26,000

                      Y = 2,166.66

Since , Y is of 40 $ so minimum tickets sold should be 2167.

X = 3,833.

Final answer:

To generate a total revenue of $194,400 in a 6000-seat theater with tickets at $28 and $40, 3800 tickets should be sold at $28 and 2200 tickets should be sold at $40. This was solved using a system of linear equations.

Explanation:

To solve how many tickets should be sold at each price for a sellout show to generate a total revenue of $194,400 in a 6000-seat theater with ticket prices at $28 and $40, we can set up a system of linear equations. Let's denote the number of $28 tickets as x and the number of $40 tickets as y.

The first equation comes from the total number of seats:

x + y = 6000

The second equation comes from the total revenue:

28x + 40y = 194400

To solve the system, we can multiply the first equation by 28 to eliminate the x variable:

28x + 28y = 168000

Subtract this from the second revenue equation:

(28x + 40y)-(28x + 28y) = 194400-168000

12y = 26400

Dividing both sides by 12 gives us:

y = 2200

We can then substitute y back into the first equation:

x + 2200 = 6000

Solving for x gives us:

x = 3800

Thus, 3800 tickets should be sold at $28 and 2200 tickets should be sold at $40 for a sellout show to generate a total revenue of $194,400.

Answer:

3.75 miles per hour

Step-by-step explanation:

speed = distance/time

=412/110

=3.75 miles per hour

Answer:

460

Step-by-step explanation:

919 ÷2 = 459.5 so you have to round to the nearest hole so when its 5 or more you round up to the nearest whole and when its 4 or less you round down so your answer is 460

Answer:

Josie bought 40 adult tickets and 32 children tickets.

Step-by-step explanation:

x+y=72

22x+10y=1200

-----------------------

x=72-y

22(72-y)+10y=1200

1584-22y+10y=1200

1584-12y=1200

12y=1584-1200

12y=384

y=384/12=32

x+32=72

x=72-32=40

x=40, y=32. (40, 32)

Answer:

equation is:

5x + 10 = 3x + 16

To find when the total will be same, solve the equation

2x = 6

x = 3

Answer:

Derrick's (10+5x)

Darlene's (16+3x)

for part two:

Derrick worked 6 hours

and darlene worked 8 hours

i think

Step-by-step explanation:

Answer:

5 units

Step-by-step explanation:

The radius is the distance from the centre of the circle to a point on the circumference.

Use the distance formula to calculate the radius r

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (1, 5)

r = [tex]\sqrt{(1+3)^2+(5-2)^2}[/tex]

  = [tex]\sqrt{4^2+3^2}[/tex]

  = [tex]\sqrt{16+9}[/tex]

  = [tex]\sqrt{25}[/tex] = 5

Answer:

Ci = x

Cs = 5 + 0.5x

Step-by-step explanation:

The site itoons costs $1 per song with no montly fee, so the cost can be expressed as

Ci = 1.x = x

Where x is the number of songs Wendell will download

The site song-R-Us.com charges $5 a month and $0.5 per song. The equation of the cost is

Cs = 5 + 0.5x

The total number of plants Justin's plant shop can hold is determined by multiplying the number of shelves by the number of plants each shelf can hold. This results in a total of 216 plants.

We can use the properties of operations to solve this problem, specifically the multiplication operation. In this case, Justin's plant shop has 12 shelves and each shelf holds 18 plants. So, to find the total number of plants the shelves can hold, we multiply the number of shelves by the number of plants each shelf can hold. This is called multiplication, which is one of the fundamental properties of operations in mathematics.

Here's the calculation: 12 shelves * 18 plants = 216 plants.

So, Justin's plant shop can hold a total of 216 plants given the current shelf setup.

https://brainly.com/question/37036975

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Answer:

i think it would go up to 10 im pretty sure at least :) lmk if its correct

Step-by-step explanation:

We can round both numbers. Remember (4 and below, round down.) and (5 and higher, round up.)

18.14 = 18

9.88 = 10

Now, we can subtract.

18 - 10 = 8

Hence, the estimated difference is 8.

______

Best Regards,

Wolfyy :)

Answer:

Solve the inequality for u.

-18>-38-5u

Simplify your answer as much as possible.

Step-by-step explanation:

Answer:

X=1 and -4

hope this helps you!

(p.s please mark me as brainlyest)

Step-by-step explanation:

tell me if you want/need the explanation why and I'll gladly give it to you.

Using the area of a triangle formula, and given the area as 36 square centimeters and the height as 18 centimeters, it was calculated that the base of the triangle is 4 centimeters.

To find the base of a triangle when the area and height are known, we use the formula for the area of a triangle, which is Area = 1/2 × base × height. Given that the area is 36 square centimeters and the height is 18 centimeters, we can set up the equation as follows:

36 = 1/2 × base × 18

By rearranging the equation to solve for the base, we get:

base = (36 × 2) / 18

base = 72 / 18

base = 4 centimeters

Therefore, the base of the triangle is 4 centimeters.

Answer:

Each class donated $300

Step-by-step explanation:

1,792 has to be rounded to 1,800, because the answer is estimated, so 1,800 divided by 6 is 300

This might be wrong, but if not yw lol

Answer:

Mr. Mole is descending by 2.4 meters per minute

Step-by-step explanation:

Let

x ----> the time in minutes

y ---> the distance in meters

we know that

In this problem the rate of change or slope is the same that the speed

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

take two points from the table

(5,-18) and (8,-25.2)

substitute the values in the formula

[tex]m=\frac{-25.2+18}{8-5}[/tex]

[tex]m=-2.4\ meters\ per\ minute[/tex] ---> is negative because is descending

Answer:

no solution

Step-by-step explanation:

5d - 8 = 1 + 5d

Add 9 to both sides

5d = 9 + 5d

Subtract 5d

0 does not equal 9

No solutions

The given equation has no solution.

The given equation is 5d-8=1+5d.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here,

5d - 8 = 1 + 5d

⇒ 5d-5d=1+9

⇒ 0≠9

Therefore, the given equation has no solution.

To learn more about an equation visit:

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Answer:

∠P = 85°

Step-by-step explanation:

The sum of the interior angles of a kite = 360°, thus

∠P + ∠D + 119 + 71 = 360, that is

∠P + ∠D  + 190 = 360 ( subtract 190 from both sides )

∠P + ∠D = 170°

The opposite angles  P and D are congruent, thus

∠P = [tex]\frac{170}{2}[/tex] = 85°

Part A: The number sentence is -3 + 12 - 2. Part B: The addition equation is 9 = -3 + 12 - 2.

Part A: To find the total yardage gained or lost by the running back, we need to add together each of the individual yardage changes. The running back first lost 3 yards, then gained 12 yards, and finally was pushed back 2 yards. The number sentence that represents this sequence of events is:

-3 (loss of 3 yards) + 12 (gain of 12 yards) - 2 (loss of 2 yards).

Part B: To rewrite this as an addition equation, we need to make sure that the total change in yardage is on one side of the equation, and the individual changes are on the other side, all connected by addition. We can do this by adding the losses as negative numbers to the gains. The total yardage gained or lost is the sum of these individual changes:

-3 + 12 + (-2).

Now, we calculate the sum:

-3 + 12 = 9,

9 + (-2) = 7.

So, the addition equation that represents the total yardage is:

7 = -3 + 12 - 2.

Answer:

x = 244.125

Step-by-step explanation:

186 · 21 = 8(x + x) (Given)

3906 = 8(2x) (Simplify)

3906 = 16x (Simplify)

[tex]\frac{3906}{16} = \frac{16x}{16}[/tex] (Division Property of Equality)

244.125 = x (simplify)

x = 244.125 (Symmetric Property of Equality)

Answer:

[tex]\frac{1953}{8}[/tex]  

I hope this helps!

Answer:

-3.69

Step-by-step explanation:

Exponential equations can be solved by taking Ln (natural logarithm) of both sides. The rule we need to know is:

[tex]Ln(a^b)=bLn(a)[/tex]

Now lets work out this problem:

[tex]16^{2x+3}=13^{x-1}\\Ln(16^{2x+3})=Ln(13^{x-1})\\(2x+3)Ln(16)=(x-1)Ln(13)[/tex]

Using calculator, we take the values of Ln 16 and Ln 13 as:

Ln 16 = 2.7726

Ln 13 = 2.5649

Now, we can solve for x:

[tex](2x+3)Ln(16)=(x-1)Ln(13)\\(2x+3)2.7726=(x-1)2.5649\\5.5452x+8.3178=2.5649x-2.5649\\2.9803x=-10.8827\\x=-3.69[/tex]

x is -3.69 (rounded to 2 decimal places)

Answer:

Step-by-step explanation:

5x5=25 so if u do 2x = it'll be 2x12=24 so thats the closetest thing u could do or i know hope it helps