Sebastian buys a t-shirt
that costs $25.36. It is on sale
for $4.52 off. What is the sale
price?

The correct answer is (1,1) because both of the lines meet together at these numbers

Step-by-step explanation:

CFB reads as twenty five degrees

complementary angle  will add to it to sum 90 degrees  = sixty five degrees

   angle CFD is sixty five degrees

Answer:

C.

Step-by-step explanation:

Answer:

I got C.

Step-by-step explanation:

(It's on my math paper)

a) Using the standard divisors according to Jefferson's apportionment method, the number of salespeople assigned to work each shift is as follows:

Shift                              Morning     Midday     Afternoon     Evening   Total

Number of

salespeople assigned  1               3                  5                 7                16

b) The modified or adjusted divisor used represents the average number of customers for each shift divided by the standard divisor.

The standard divisor shows the ratio of the total population to the number of seats.

The standard divisor gives an insight about the number of people each seat represents.

Standard divisor = Total number of customers / Total number of salespeople

The total number of customers = 1,425

The number of salespeople = 16

a) Standard divisor = 1,425 ÷ 16

= 89.0625

Shift                              Morning     Midday     Afternoon     Evening   Total

Average number of

customers                     125            280             460             560       1,425

Standard divisor      89.0625     89.0625      89.0625      89.0625

b) Modified divisor     1.4035        3.1438          5.165           6.288

Number of

salespeople assigned  1               3                  5                 7                16

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Answer:

7.Always 8.Never

Step-by-step explanation:

7. A linear pair are 2 angles that forms 180 degree angles. Supplementary Angles are angles that form 180 degrees. 180=180 so it is always

8. Vertical angles share a common vertex but like adjacent angles but unlike vertical angles they dont overlap so Vertical angles are non adjacent angles.Also adjacent angles aren't always equal either. So never

Answer:

to do these word problems, just write equations that reflect the conditions. Once you have the equations, the rest is easy, right? Anyone can solve an equation; the hard part is sorting them out from the words.

So, for #1, we have

A: y = 200 + 50(x-1) = 150+50x

B: y = 200 * 1.10^(x-1)

Now you can easily make a table. See what you can do with the rest of the wowness

Answer:

Option A gives the greatest total income because every week a person keeps working they receive $50 more than the previous week they had worked compared to the $20 more they'd receive with Option B. Option A is also the better option because compared to Option B, the employees would be earning $300 by Week 3 (with Option A) compared to the $260 they'd be earning on the exact same week (with Option B)

Step-by-step explanation:

Employees earn more money working with Option A than with Option B. So, when it comes to quitting on Week 20 they'd have more money with Option A than with Option B.

The algebric expression -1/4 + 3/5 is equal to 7/20 when simplified.

To solve the expression -1/4 + 3/5, we need to find a common denominator for the fractions and then perform the addition.

The common denominator for 4 and 5 is 20. We can rewrite the fractions with this denominator:

-1/4 = -5/20

3/5 = 12/20

Now that the fractions have the same denominator, we can add them:

-5/20 + 12/20 = (-5 + 12)/20 = 7/20

Therefore, -1/4 + 3/5 is equal to 7/20.

To further simplify the fraction, we can check if there is a common factor between the numerator and denominator. In this case, 7 and 20 have no common factors other than 1, so the fraction is already in its simplest form.

Thus, the final answer is 7/20.

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To solve this problem, we can use the formula for calculating the quarterly payment of a loan with compound interest:

Payment = (r * P) / (1 - (1 + r)^(-n))

where:

r = quarterly interest rate (12% / 4 = 0.03)

P = principal amount (remaining debt after down payment) = $150,000

n = total number of quarterly payments (10 years * 4 quarters per year = 40)

(1) Calculation of Quarterly Payment:

Payment = (0.03 * 150,000) / (1 - (1 + 0.03)^(-40)) = $2,365.87 (rounded to the nearest cent)

Therefore, the quarterly payment is $2,365.87.

(2) Calculation of Total Amount of Payment:

Total amount of payment = (number of payments) * (quarterly payment)

number of payments = 10 years * 4 quarters per year = 40

Total amount of payment = 40 * 2,365.87 = $94,634.80

Therefore, the total amount of payment is $94,634.80.

(3) Calculation of Total Amount of Interest Paid:

Total amount of interest paid = total amount of payment - principal amount

Total amount of interest paid = $94,634.80 - $150,000 = -$55,365.20

Note that the result is negative because the down payment ($50,000) exceeds the total amount of interest paid over the life of the loan. Therefore, in this case, the total amount of interest paid is $0, and the man ends up paying a total of $100,000 ($50,000 down payment + $50,000 in quarterly payments).

Answer:

1 and 1/4 of a mile each week

Step-by-step explanation:

Answer:

Monique runs 1.25 miles each week

Step-by-step explanation:

Sorry I am confused with the picture part

Answer:

Trapezoid

Step-by-step explanation:

It's a quadrilateral and it only has one pair of parallel sides.

Answer:

Step-by-step explanation:

\(\sqrt{2} cos x-1=0\\cos x=\frac{1}{\sqrt{2} } =cos (\frac{\pi }{4} ),cos (2\pi -\frac{\pi }{4} )\\cos x=cos(2n\pi +\frac{\pi }{4} ),cos(2n\pi +\frac{7\pi }{4} )\\x=2n\pi +\frac{\pi }{4} ,2n\pi +\frac{7\pi }{4} \\n=0\\x=\frac{\pi }{4} ,\frac{7\pi }{4}\)

The area of the border is 105.53 feet².

We have,

The swimming pool is a combination of two shapes.

Rectangle:

Length = 60 feet

Width = 30 feet

Area = 60 x 30 = 1800 feet²

Semicircle:

Diameter = 30 feet

Radius = 15 feet

Area = π/2 r² = 1/2 x 3.14 x 15 x 15 = 353.25 feet².

Now,

The area of the swimming pool.

= 1800 + 353.25

= 2153.25 feet²

Now,

Without the border.

Area of the swimming pool.

= rectangle area + semicircle area

= 60 x (30 - 1) + 1/2 x π x (15 - 1)²
= 60 x 29 + 1/2 x 3.14 x 14 x 14

= 1740 + 307.72

= 2047.72 feet²

Now,

The area of the border.

= 2153.25 - 2047.72

= 105.53 feet²

Thus,

The area of the border is 105.53 feet².

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Answer:

  (a)  twenty-eight ninths, square root of nineteen, cube root of eighty-eight

Step-by-step explanation:

When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.

The attachment shows the ordering, least to greatest, to be ...

  \(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)

__

Additional comment

We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.

One way to do the comparison is to convert these to values that need to have the same root:

  √19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)

  ∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)

The roots will have the same ordering as 19³ and 88².

Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...

  19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859

  88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744

Then the ordering is ...

  28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Answer:

the ordering is

28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Step-by-step explanation:

The surface area of the cube is 1536 ft².

We have,

The cube can be seen as 6 square areas in the net.

So,

The surface area of the cube.

= 6 x area of one square surface.

Now,

Side = 16 ft

Area of one square surface.

= side²

= 16²

= 256 ft²

Now,

The surface area of the cube.

= 6 x area of one square surface.

= 6 x 256

= 1536 ft²

Thus,

The surface area of the cube is 1536 ft².

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(a) When measuring angle 9 and the lengths of AB and BC, one observation is required.

(b) The line drawn from the center of a circle to the midpoint of a chord is perpendicular to the chord, while the line drawn from the center of a circle to an endpoint of a chord bisects the chord.

a) In the given diagram, we have angle AOB (angle 9) and line segments AB and BC.

To measure angle 9, we use a protractor. We align the baseline of the protractor with the line segment OA, ensuring that the center point of the protractor coincides with the vertex O. Then, we read the degree measurement where the line segment OB intersects the protractor. Let's assume the measurement of angle 9 is x degrees.

To measure the length of line segments AB and BC, we use a ruler. We align the ruler with the line segments and read the length in units (e.g., centimeters or inches).

b) The statements to complete are:

(i) The line drawn from the center of a circle to the midpoint of a chord will be perpendicular to the chord.

(ii) The line drawn from the center of a circle to the endpoint of a chord will bisect the chord.

In a circle, the center of the circle lies on the perpendicular bisector of any chord. This means that if we draw a line from the center of the circle to the midpoint of a chord, it will be perpendicular to the chord (statement i). Similarly, if we draw a line from the center of the circle to one of the endpoints of the chord, it will bisect the chord into two equal parts (statement ii).

These properties hold true for any chord in a circle, and they are based on the geometric properties of circles and perpendicular bisectors.

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Alan and his mom will each have completed 10 rows after 3 hours.

An expression is a combination of numbers, variables, and/or operations (such as addition, subtraction, multiplication, division, exponents, and roots) that are grouped together to represent a value.

Let x be the number of hours it takes for Alan and his mom to have planted the same number of rows.

Alan will have planted 4 + 2x rows of carrots, and his mom will have planted 7 + x rows of tomatoes.

Setting these two expressions equal to each other gives:

4 + 2x = 7 + x

Solving for x, we get:

x = 3

Thus, after 3 hours, Alan will have planted:

4 + 2(3) = 10 rows of carrots

And his mom will have planted:

7 + (3) = 10 rows of tomatoes

Therefore, they will each have completed 10 rows of vegetables after 3 hours.

To graph these equations, we can plot them on a coordinate plane, where the x-axis represents the number of hours and the y-axis represents the number of rows planted.

Alan's equation is y = 2x + 4, and his mom's equation is y = x + 7.

The graph of these two equations intersect at the point (3, 10), which represents the moment when they have each planted 10 rows.

Therefore, Alan and his mom will each have completed 10 rows after 3 hours

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Answer:

The slant height of the cone affected is two times the slant height of original cone

Step-by-step explanation:

we know that

If the height and base radius of a cone are increased by a factor of  to create a similar cone

then

the scale factor is equal to  

therefore

the slant height of the cone affected is equal to the slant height of the original cone multiplied by the scale factor

Find the slant height of the original cone

Let

l-----> slant height of original cone

la-----> slant height of the cone affected

Applying the Pythagoras theorem

so

The slant height of the cone affected is two times the slant height of original cone

(I GOT THIS FROM SOMEONE ELSES ANSWER IN 2017 SO I HOPE THIS HELPS)

The slant height of the larger cone is double the slant height of the smaller cone.

Option B is the correct answer.

It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.

The volume of a cone is 1/3 πr²h

We have,

The slant height of the cone is affected by a factor of 2.

When the height and base radius of a cone are multiplied by 2, the dimensions of the new cone are doubled.

Therefore,

The slant height of the larger cone is double the slant height of the smaller cone.

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Answer:

1 dollar

Step-by-step explanation:

If he charges 15 dollars an hour for a canoe, that means that if she rents for 0.15 hours she pays 1 dollar. Hope this helps :)

Answer:

Just do 8x9x11 which is 792

Step-by-step explanation:

8 cm of the prism

your welcome

Answer:

tan(θ)= dn/de

θ=arctan(dn/de)

Step-by-step explanation:

The y-intercept of the linear model is 211,400, which represents the estimated number of automobiles in the town in the year 2015 (when the independent variable is zero).

To find the y-intercept of the linear model, we need to determine the value of the dependent variable (the number of automobiles) when the independent variable (the number of years since 2015) is equal to zero.

Let's first find the slope of the line, which represents the rate of change of the number of automobiles per year:

slope = (change in number of automobiles) / (change in number of years)

slope = (2420 - 1890) / (2020 - 2015) = 106 automobiles per year

Now we can use the point-slope form of a linear equation to find the y-intercept:

y - y1 = m(x - x1)

where y1 is the value of the dependent variable when the independent variable is x1. In this case, x1 = 2015, y1 = 1890, and m = 106 (the slope we just calculated).

y - 1890 = 106(x - 2015)

To find the y-intercept, we can set x = 0:

y - 1890 = 106(0 - 2015)

y - 1890 = -213,290

y = 211,400

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From this options there are 2 expression that are equivalent to

Options C and D are equivalent to the given expression

The products that are greater than 2 5/6 are B. 2 5/6 × 2 5/6,  C. 2 5/6 × 1 5/8 and  E. 6/5 × 2 5/6

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

Number = 2 5/6

The general rule is that

Using the above as a guide, we have the following:

the products that are greater than 2 5/6 are B. 2 5/6 × 2 5/6,  C. 2 5/6 × 1 5/8 and  E. 6/5 × 2 5/6

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Question

Which products are greater than 2 5/6?

A. 1/8 × 2 5/6

B. 2 5/6 × 2 5/6

C. 2 5/6 × 1 5/8

D. 5/6 × 2 5/6

E. 6/5 × 2 5/6

Answer:

We will need two equations, one that adds up to the total number of marbles, and the other which writes one type of marbles in terms of the other.

For the first equation we know that:

\(r + b = 42\)

For the second we are told that "The number of red marbles she has is three  more than twice the number of black marbles she has."

So we simply translate this into an equation being:

\(r = 2b + 3\)

Answer:

Each of the twin beds: 5 decorative pillows

Each of the queen beds: 11 decorative pillows

Step-by-step explanation:

Let the number of pillows used for each twin bed be x

Let the number of pillows used for each queen bed be y

she decorated 1 twin bed and 2 queen beds and used a total of 27 pillows. Thus;

x + 2y = 27 - - - (eq 1)

Also, she used

37 pillows to spruce up 3 twin beds and 2 queen beds. Thus;

3x + 2y = 37 - - - (eq 2)

From eq 1, x = 27 - 2y

Thus;

3(27 - 2y) + 2y = 37

81 - 6y + 2y = 37

81 - 4y = 37

4y = 81 - 37

4y = 44

y = 44/4

y = 11

x = 27 - 2(11)

x = 27 - 22

x = 5

Thus, she used 5 decorative pillows for each of the twin beds and 11 decorative pillows for each of the queen bed

Answer:

(0;-3),(2;0),(-4;9),(2/3;-2)

Answer:

(0,-3) (2,0) (-4,-9) (2/3,-2) ✔️

The scientific notation of the given number is 1.24×10⁻⁶.

The given number is 0.00000124.

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.56×10⁷.

Here, 0.00000124=1.24×10⁻⁶.

Therefore, the Scientific notation of the given number is 1.24×10⁻⁶.

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Answer:

7x-1/22 = 3x+1/10

Multiply both sides of the equation by the Lowest common Multiple of the denominators(22 and 10). This is done to clear the fractions.

The LCM of 22 and 10 is 110

So

110 x(7x-1/22) = 110 x (3x+1/10)

110/22 =5

110/10 = 11

So the eqn now becomes

5(7x-1) = 11(3x+1)

Opening the parentheses

35x - 5 = 33x + 11

Collect Like Terms

35x - 33x = 11 + 5

2x = 16

x= 8.