The table shows the temperature (in degrees) for eight consecutive days as well as the respective number of ice cream cones an ice cream shop sold on each of these days.

Temperature: 68, 77, 83, 85, 89, 94, 96, 99
number of cones: 403, 447, 457, 465, 489, 503, 543, 576

About how many ice cream cones woud you expect the shop to sell if the temperature one day is 106 degrees? Find a line of best fit for this data and use it to make your prediction.

A. 579
B. 585
C. 602
D. 617

Answer:

x < [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

distribute the parenthesis on the right side

5x + 3 < 3x + 6 ( subtract 3x from both sides )

2x + 3 < 6 ( subtract 3 from both sides )

2x < 3 ( divide both sides by 2 )

x < [tex]\frac{3}{2}[/tex]

Answer:

x <  [tex]\frac{3}{2} \\[/tex]

Answer:

? = 113

Step-by-step explanation:

The angles are alternate interior angles.  Alternate interior angles are equal if the lines are parallel.  Since the lines are parallel, the angles are equal.

? = 113

Answer:

503.7 is the best estimate when rounding each number to the nearest tenth.

Step-by-step explanation:

Round 552.17 and 48.35 to the nearest tenth. That gives us 552.1 and 48.4 (because 5 makes the number round up). Subtract that, and it gives us 503.7.

Final answer:

The total interest cost of the loan is $28,999.

Explanation:

To find the total interest cost of the loan, we need to calculate the amount of interest paid over the 25-year period. First, we need to find the amount of the mortgage by subtracting the down payment from the purchase price. 20% of $230,000 is $46,000, so the mortgage is $230,000 - $46,000 = $184,000.

To calculate the interest cost, we can use the formula: Interest Cost = Total Repayment - Principal Amount.

Principal Amount = Mortgage Amount = $184,000.
Number of Payments = Number of years x Number of payments per year = 25 x 12 = 300.
Monthly Interest Rate = Annual Interest Rate / Number of payments per year = 8% / 12 = 0.00667.
Total Repayment = Monthly Payment x Number of Payments = [(Monthly Interest Rate x Principal Amount) / (1 - (1 + Monthly Interest Rate)^(-Number of Payments)) ] x Number of Payments = [(0.00667 x $184,000) / (1 - (1 + 0.00667)^(-300))] x 300 = $526.67 x 300 = $157,001.
Interest Cost = Total Repayment - Principal Amount = $157,001 - $184,000 = $28,999.

Answer:

Area of the figure is 304 sq. units

Step-by-step explanation:

The area is divided into two identical trapezoids of height 8 units and bases 14 and 24 units.

Area of a trapezoid = (1/2) * (Sum of base lengths) * height

So, area of 1 one trapezoid = (1/2)*(14+24)*8=152

The area of the figure is twice the area of the trapezoid.

So, area of figure = 2 * 152 = 304 sq. units

∴ Area of the figure is 304 sq. units

Answer:

a1 = 8

a2 =10

a3 = 13

a4 = 17

Step-by-step explanation:

The first term is a1 = 8

The second term is a2 = a1 + n

                                       = 8+2

                                       = 10

The third term is a3 = a2 + n

                                       = 10+3

                                       = 13

The fourth term is a4 = a3 + n

                                       = 13+4

                                       = 17

Answer:

I believe it is 2 / h = the amount she blew in 1 minute. Hope this helps

Answer:

h / 120

Step-by-step explanation:

2 hours equals 120 minutes.

So h bubbles in 120 minutes is h/120 per minute.

Verification: suppose she blew 240 bubbles in two hours; this would be 240/120 = 2 per minute. That makes 120 per hour and, as expected, 240 in two hours.

Let's go:

[tex]x^2 = [- 6 - (- 10)]^2 + [- 1 - (- 3)]^2 \\\ x^2 = 16^2 + 4^2 \\\ x^2 = 256 + 16 \\\ x^2 = 272 \\\ x = \sqrt{272} \\\ x = 16,5[/tex]

I hope I helped you.

Use the distance formula

d= square root of [(x-x)^2+(y-y)^2]

Step-by-step explanation:

d= sq. root of [(10-(-6))^2+(-1-3)^2]

= sq. root of [16^2 + (-4)^2]

= sq root of (256+16)

= sq root of 272 or 4.7

The correct substitution of the values a, b, and c from the given equation into the quadratic formula is a = 1, b = -1, and c = -2, resulting in the formula x = [1 ± √(1 - 4(1)(-2))] / 2.

For the equation –2 = –x + x² – 4, we need to rewrite it in the standard quadratic equation form ax² + bx + c = 0.

First, rearrange the terms to get x² – x – 4 – (–2) = 0, which simplifies to x² – x – 2 = 0. Here, a = 1, b = -1, and c = -2.

Using the quadratic formula, x = [-b ± √(b2 - 4ac)] / 2a, we substitute a, b, and c:

Part A: x=2

This would make both perimeters equal to 24.

Part B: No solution.

You cannot make x equivalent to anything but 2, or the square would not be real. All four sides of the square must equal 6. This would make the area 36 units squared. If x was 2 for the rectangle, the area would be 20. It is impossible to make them equal. Tell me if I'm wrong, though.

Answer:

B

Step-by-step explanation:

A

f(1) = 4*(1/2)^1 = 4/2 = 2

(1,1) is not the same thing.

B

B is the answer.

C

f(0)=4 not 2 C is incorrect. C is not the answer

D

Same problem as C

Answer: 164.4 or 165

Step-by-step explanation: So, you do 226 x 3 and you get $678. So now that you know that you have $678 worth of student tickets, you want to find how much more you need for the adult tickets, so you do $1500-$678, and you get $822. Divide it by 5 and you get 164.4, so you wanna sell about 165 tickets. Check your work by multiplying 5 by 165 and you get $825, which meets your $1500 minimum

After calculating the revenue already obtained from the student tickets sold, the remaining revenue needed to reach $1500 is found. This amount is divided by $5 (the cost of an adult ticket) to find the minimum number of adult tickets needed. Since you can't sell fractions of tickets, we round up to the next whole number, which is 165 adult tickets.

The first step to solve this problem is to calculate how much revenue has already been raised from the student tickets sold, which is $3 x 226 = $678. Then subtract this amount from the total revenue target of $1500, which gives $1500 - $678 = $822.

The choir director now needs to raise $822 from selling adult tickets. As each adult ticket costs $5, we can calculate the minimum number of adult tickets that need to be sold by dividing the amount of revenue needed by the price of an adult ticket. This is $822 / $5 = 164.4.

Since you can't sell .4 of a ticket, we'll need to round up to the next whole number, giving a minimum of 165 adult tickets that need to sell in order to reach the revenue target.

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Answer:

10:45

Step-by-step explanation:

v...speed = 40 mph

s...distance = 60

t...time

if he was 15 min late he arrived at 12:15

v=s/t => t=s/v

t = 60/40 = 1.5 h = 1h and 30 min

if he arrived at 12:15 and he was driving for an hour and a half just substract

12:15 - 1:30 = 11:15 - 0:30 = 10:45

he left at 10 45

Answer:

[tex]a=1,\ 2,\ 3,\ 6.[/tex]

Step-by-step explanation:

A whole number is any number of a set [tex]\{0,\ 1,\ 2,\ 3,...\}[/tex]

The equation [tex]ax=6[/tex] has a solution [tex]x=\dfrac{6}{a},\ a\neq 0.[/tex]

If [tex]a=1,[/tex] then [tex]x=\dfrac{6}{1}=6[/tex] is a whole number.

If [tex]a=2,[/tex] then [tex]x=\dfrac{6}{2}=3[/tex] is a whole number.

If [tex]a=3,[/tex] then [tex]x=\dfrac{6}{3}=2[/tex] is a whole number.

If [tex]a=6,[/tex] then [tex]x=\dfrac{6}{6}=1[/tex] is a whole number.

For all other values of [tex]a[/tex] equation  [tex]ax=6[/tex]  will have solution that is not a whole number.

Put the value of slope to the equation of the function:

[tex]y=-\dfrac{1}{6}x+b[/tex]

Put the coordinates of the point B(12, 3) to the equation:

[tex]3=-\dfrac{1}{6}(12)+b[/tex]

[tex]3=-2+b[/tex]            add 2 to both sides

[tex]5=b[/tex]

Answer:

The value of b is 5.

Step-by-step explanation:

Consider the provided information.

It is given that the slope intercept form is, y = mx + b

Where m is the slope and b is the y intercept.

Also, it is given that the slope of the line is -1/6.

Line AB passes through points A(–6, 6) and B(12, 3).

That means Point A and B must satisfy the equation of line.

Substitute [tex]m=\frac{-1}{6}, x=-6\ \text{and}\ y = 6[/tex] in slope intercept form:

[tex]6=\frac{-1}{6}\times(-6)+b[/tex]

[tex]6=1+b[/tex]

[tex]5=b[/tex]

Thus, the value of b is 5.

Answer:

The answer is ASA.

Step-by-step explanation:

There is one other angle in the middle which is congruent to its self.

ASA (Angle-Side- Angle) method can we use to prove that the triangles are congruent

Two triangles are called to be congruent if their sides have the equal length and angles have equal measure.

Thus, two triangles can be superimposed side to side and angle to angle.

If any two angles and the side of the angles of triangle are equivalent to the corresponding, then the two triangles are said to be congruent by ASA rule.

There is one other angle in the middle which is congruent to its self

ASA (Angle-Side- Angle)

Learn more about congruent triangles here:

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Answer:

y = 33/5 or 6.6

Step-by-step explanation:

7y + 44 = 12y + 11

      -11              -11

7y + 33 = 12y

-7y           -7y

33 = 5y

Divide both sides by 5

= 33/5 or 6.6

Answer:

[tex]y=6\frac{3}{5}[/tex]

Step-by-step explanation:

We are given the following equation for which we have to solve for y:

[tex]7y+44=12y+11[/tex]

So first of all, we will rearrange the terms by putting the like terms together (variables on one side of the equation and constants on the other side) to get:

[tex]12y-7y=44-11[/tex]

Then solving for y:

[tex]5y=33\\\\y=\frac{33}{5}[/tex]

Therefore, the value of y is equal to [tex]y=6\frac{3}{5}[/tex] (rewriting y in a mixed fraction form).

You move figure 5 to figure 7. You move 4 units right and 8 units up.

Describing the transformation in the figure

From the question, we have the following parameters that can be used in our computation:

The figure

From the figure, we have:

Figures 5 and 7 have the same size, orientation and the same shape

This means that both figures can be translated

In this case, it is:

You move figure 5 to figure 7. You move 4 units right and 8 units up.

Put the coordinates of the points to the inequality and check.

y > 2x + 1

for (1, 4):

4 > 2(1) + 1

4 > 2 + 1

4 > 3   CORRECT

for (1, 6):

6 > 2(1) + 1

6 > 2 + 1

6 > 3   CORRECT

for (3, 8):

8 > 2(3) + 1

8 > 6 + 1

8 > 7   CORRECT

for (2, 5):

5 > 2(2) + 1

5 > 4 + 1

5 > 5   FALSE

Answer:

a

Step-by-step explanation:

the mean = [tex]\frac{total score}{count}[/tex]

let the fifth score be x and count = 5, hence

[tex]\frac{86+82+72+69+x}{5}[/tex] = 79 ( multiply both sides by 5 )

309 + x = 395 ( subtract 309 from both sides )

x = 86

the student requires a score of 86% → a

Answer:

5.91%

Step-by-step explanation:

We are given an investment deposited fro 1 year compounded daily at an annual interest rate of 5.75%.

Compounding period per year, n: 365

The effective annual yield can be calculated by the following formula:

Effective Annual Yield = [tex] (1+\frac{r}{n})^{n}-1[/tex]

where n = 365

Interest rate, r= 5.75% = 0.0575

[tex]=(1+\frac{0.0575 }{365})^{365}-1[/tex]

= 0.059

The annual effective yield is 5.91%

The Answer: V=216cm³

Answer:

The volume of a cube shaped box with edges 6 centimeters in length is 216

Step-by-step explanation:

volume is

Width • Length • Height

The cube's width is 6 centimeters, it's length is 6 centimeters, and it's height is 6 centimeters.

6 • 6 • 6 = 216

Answer:

The coordinates of image are X'(-3,4), Y'(-5,0) and Z'(-1,1).

Step-by-step explanation:

The vertices of triangle XYZ are X(-2,1), Y(-4,-3) and Z(0,-2).

It is given that the triangle translated by rule

[tex](x,y)\rightarrow (x-1,y+3)[/tex]

The coordinates of image of XYZ are

[tex]X(-2,1)\rightarrow X'(-2-1,1+3)[/tex]

[tex]X(-2,1)\rightarrow X'(-3,4)[/tex]

[tex]Y(-4,-3)\rightarrow Y'(-4-1,-3+3)[/tex]

[tex]Y(-4,-3)\rightarrow Y'(-5,0)[/tex]

[tex]Z(0,-2)\rightarrow Z'(0-1,-2+3)[/tex]

[tex]Z(0,-2)\rightarrow Z'(-1,1)[/tex]

Therefore coordinates of image are X'(-3,4), Y'(-5,0) and Z'(-1,1).

Answer:

see explanation

Step-by-step explanation:

∠RHC = 145° ( given )

∠JHK = 145° ( vertical to ∠RHC )

∠RHJ = 180° - 145° = 35° ( straight angle )

∠CHK = 35° ( vertical or straight )

∠HKS = 35° ( alternate to ∠CHK )

∠SKU = 145° ( straight angle )

∠OKU = 35° ( vertical or straight )

∠HKO = 145° (vertical to ∠SKU )

Answer:

-3

Step-by-step explanation:

-3-16=-19

-19+16=-3

Answer:

-3

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) 144 x $12 = $1728.00

2) $10 x 2 = $20       $20 x 3 = $60      $30 x 2 = 60;   $20+$60+$60 = $140

3)  $350 - $234 = $116.00

4) $225 ÷ $15 = 15 lawns will need to be cut

5) 2/4 = 1/2 = .50 = 50%  B

6) 0.99 + 1.19 + 1.50 + 0.99 =  $4.67

7)  B  90 seconds is = 1 minutes and 30 seconds  (1 minute = 60 seconds)

8) 4 weeks x 5 nights = 20 nights of studying

   20 nights x 30 minutes = 600 minutes

   600 minutes ÷ 60 (minutes in an hour) = 10 hours of studying  D