Carolina receives an allowance that is tied to completing her chores during the week. She starts off with an allowance of $20. She has five chores to complete during the week, and for each chore she completes, she receives $3. However, for each chore that is not done by the end of the week, she loses $4 from her allowance.

a. Write an expression describing Carolina's allowance as a function of the number of chores, C, that she completes during the week.

b. If Carolina completes 4 chores, what is her allowance?

Answer:

y = 4 – x/2

Step-by-step explanation:

I got this question right on edge!

Answer:

(4x + 3)²

Step-by-step explanation:

Given

16x² + 24x + 9

This is a perfect square of the form

(ax + b)² = a²x² + 2abx + b²

Compare coefficients to 16x² + 24x + 9, that is

a² = 16 ⇒ a = [tex]\sqrt{16}[/tex] = 4

b² = 9 ⇒ b = [tex]\sqrt{9}[/tex] = 3

and 2ab = 2 × 4 × 3 = 24

Thus

16x² + 24x + 9 = (4x + 3)²

I believe the answer is B

Answer:

c=15

Step-by-step explanation:

you would add 3 to 12 and end up with c=15

Answer:

Step-by-step explanation:

The volume for a sphere is

[tex]V=\frac{4}{3}\pi r^3[/tex]. Our radius is 21 inches, so

[tex]V=\frac{4}{3}\pi (21)^3[/tex] and

[tex]V=\frac{4}{3}\pi (9261)[/tex]. Multiplying straight across the top, using the fact that 3.14 is pi:

[tex]V=\frac{116318.16}{3}[/tex] and divide to get that

V = 38772.72 in^3

Answer:

2 roots.

Step-by-step explanation:

The roots are the same things as the x-intercepts. From -4 to 3, there are two times when the polynomial intersects the x-axis. So, there are 2 roots.

Hope this helps!

Answer:

m = -5/2

b = 3

Step-by-step explanation:

The equation is in y = mx +b form where m is the slope and b is the y-intercept.  This means that the slope is -5/2 and the y-intercept is 3.

Step-by-step explanation:

[tex]f( \frac{2}{3} x) = \frac{4}{9} {x}^{2} - 1 \\ \frac{4}{9} {x}^{2} - 1 = 0 \\ \sqrt{ {x}^{2} } = \sqrt{ \frac{9}{4} } \\ x = \frac{3}{2} \\ x = - \frac{3}{2} [/tex]

we have three points of the graph

(0,-1) min point

and those two values for x.

so:

Answer:

  25π cm^2 ≈ 78.5 cm^2

Step-by-step explanation:

The base is a circle with a radius of 5 cm. Its area is given by ...

  A = πr^2

  A = π(5 cm)^2 = 25π cm^2 ≈ 78.5 cm^2

Answer:

what explain more send picture of the question

Step-by-step explanation:

In right angled triangle DEF, cos(F) = cos(D) = 1/√2, sin(F) = sin(D) = 1/√2 and tan(F) = tan(D) = 1

Trigonometric ratio is used to show the relationship between the angles and sides of a right angled triangle.

Given triangle DEF:

DE = EF (Hence it is an isosceles triangle)

∠F = ∠D ( Isosceles triangle)

cos(F) = cos(D) = 5 / 5√2 = 1/√2

sin(F) = sin(D) = 5 / 5√2 = 1/√2

tan(F) = tan(D) = 5 / 5 = 1

In right angled triangle DEF, cos(F) = cos(D) = 1/√2, sin(F) = sin(D) = 1/√2 and tan(F) = tan(D) = 1

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Answer:  58/15

−3−215−(−5)−(−2)=

58/15

(Decimal: 3.866667)

hope i helped

-lvr

Answer:9.4$ a hour

Step-by-step explanation:

110 - 16 = 94

94 / 10 = 9.4

she makes 9.4$ a hour

<!> Brainliest is appreciated! <!>

Answer:

10h - 16

Step-by-step explanation:

She needs $110 so,

110 = however much she's getting an hour times 10 hours, minus 16 because she already has $16

110 = 10x - 16

Hope this helped, let me know if it's right

Answer:

-11

Step-by-step explanation:

You need to find the difference in y-coordinates and divide that difference into a 7:3 ratio. Then you add that to the y-coordinate of point J.

Difference in y:

-20 - 10 = -30

7 + 3 = 10

7/10 * (-30) = -21

Add -21 to 10:

10 + (-21) = -11

The y-coordinate is -11.

Answer:

£73.5 = € 98

Step-by-step explanation:

Let's use the unitary method

=> £3 = €4

So,

£1 = €4/3

Multiplying both sides by 73.5

£73.5 = € 98

Answer:

€98

Step-by-step explanation:

£3 = €4

£73.5 = €x

Let the unknown euros be x.

Cross multiply

3 × x = 4 × 73.5

3 × x = 294

Divide both sides by 3.

x = 294/3

x = 98

Answer:

A. $1,482,000

Step-by-step explanation:

I took the quiz on edge 2020 and got it right

Answer:

the answer is a

Step-by-step explanation:

Answer:

(0, -2)

Step-by-step explanation:

The question is not complete, the coordinates of point A are not given. Let us assume A = (3, 2).

If a point D [tex](x_1,y_1)[/tex]is rotated about a point E([tex]x_2,y_2[/tex]), First E is made the center of origin. This is done by making a new point F = D - E. Therefore F = [tex](x_1-x_2,y_1-y_2)[/tex].

If a point D [tex](x_1,y_1)[/tex] is rotated 180 degrees, the new ordinates becomes [tex]D'(-x_1,-y_1)[/tex]

If a point D [tex](x_1,y_1)[/tex] is translated x units down,, the new ordinates becomes [tex]D'(x_1,y_1-x)[/tex]

Let us assume A = (3, 2).

If ABCDE is rotated 180 degrees clockwise around A, Firstly A is made the center of origin. For point A, the new point by making A the center of origin is A' = A - A = (3, 2) - (3, 2) = (3-3, 2-2) = (0, 0). Therefore the 180 degrees rotation becomes A'' = (-0, -0) = (0,0)

If it is then translated 2 units down, the new coordinates are (0, 0-2) = (0, -2)

Answer:

When you multiply (5x² - 3x)(8x²+ 4x), then you will get 40x⁴ - 4x³ - 12x²

Step-by-step explanation:

(5x² - 3x)(8x² + 4x)

Multiply 5x² to (8x² + 4x) and multiply -3x to (8x² + 4x).

40x⁴ + 20x³ - 24x³ - 12x²

Combine like terms and don't forget to put the equation in standard form. This means that the exponents are going to be in descending order.

40x⁴ - 4x³ - 12x²

So, your answer will be letter choice A.

DDDDDDDDDDDDDDDDDDDDD

Answer:

Step-by-step explanation:

7( r - 2 ) - 9(r - 1) = 3 ( 5 - r ) + ( r - 8 )

Distribute 7 through the parentheses

7r - 14 - 9(r - 1 ) = 3( 5 - r ) + ( r - 8)

Distribute -9 though the parantheses

7r - 14 - 9r + 9 = 3(5 - r ) + ( r - 8)

Distribute 3 through the parantheses

7r - 14 - 9r + 9 = 15 - 3r + r - 8

When there is (+) in front of an expression in parentheses, the expression remains the same

7r - 14 - 9r + 9 = 15 - 3r + r - 8

Collect like terms

7r - 9r - 14 + 9 = 15 - 3r + r - 8

-2r - 14 + 9 = 15 - 3r + r - 8

Calculate

-2r- 5 = 15 - 3r + r - 8

Subtract the number

-2r - 5 = 7 - 3r + r

Collect like terms

-2r - 5 = 7 - 2r

Cancel equal terms on both sides of the equation

- 5 = 7

The statement is False for any value of X.

Hence, there is no solution.

Hope this helps...

Good luck on your assignment...

Answer:

r^2 = 45÷2 x^2

Step-by-step explanation:

Details of cone:

Radius(r) = 5x cm

Height(h) = 12x cm

Slant height(l) = √(12x^2 + 5x^2)

l = 13x cm

Total surface area of a cone (T. S. A) = πrl + πr²

T. S. A = π * 5x * 13x + π5x^2

T.S.A = π65x^2 + π5x^2

T.S.A = π65x^2 + π25x^2

T.S.A = 90πx^2 - - - - - (1)

Details of sphere:

Radius (r) = r cm

Total surface area = 4πr²

Total Surface area of sphere= 4πr²cm - - - (2)

Equating (1) and (2) to calculate r

4πr² = 90πx^2

r^2 = 90πx^2 / 4π

r^2 = 90π (x^2) / 4π

r^2 = 45/2 (x^2) ;

r^2 = 45÷2 x^2

Hence the proof

Answer:

1.7km/h

Step-by-step explanation:

speed is distance over time,the time difference is 50 min and the distance is 83,you divide 83 by 50 to give you the answer

Answer:

The constant rate of change would be considered slope. It would define the rate of change for the entire line, meaning it would show the constant change for infinity. The average rate of change would be the change between 2 data/set points. It would not be applied to infinite numbers, but only given points and numbers.

Find the assessed amount:

12000 x 0.80 = 9600

Multiply the assessed amount by tax rate:

9600 x 0.015 = 144

He pay $144

The amount of tax Mr smith pays if the tax rate is 1.5% of the assessed value will be $144.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage has numerous applications in the real life for example in school marks, salary deduction, and all accounting.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 1%=1/100=0.01.

Value of lot $12000

assessed amount:

12000 x 0.80 = $9600

The tax rate is 1.5% so the tax of the assessed amount will be

$9600 × 0.015 = $144 hence it will be the tax amount that Mr smith needs to pay.

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Answer:

the answer is a polynomial 10x + 2

Step-by-step explanation:

Length = 3x + 2

Width = 2x - 1

Perimeter = 2l + 2w

P = 2(3x+2) + 2(2x-1)

P = 6x+4+4x-2

P= 10x+2

A polynomial is an expression consisting of variables. They can have one or more terms.

Answer:

10x + 2; the answer is a polynomial

Step-by-step explanation:

Answer:

4 is the largest number that is common to both 32 and 44.  Factoring it out looks like this: 4(8 + 11) = 4(8 + 11).  That's weird to me but all textbooks begin that process just that same way.

Step-by-step explanation:

Greatest common factor of 32 and 44 is 4:

32/4 = 8

44/4 = 11

Factor 4 out of the equation 32 + 44 =

The factored form would be 4(8 + 11)

Answer:

2 and remains the same

Step-by-step explanation:

Answer:

1 team = 10 players

7 teams = 7×10 players

= 70 players

drop out players:

1 team = 2 players

7 teams = 2×7

= 14 players

how many left ?

= total players - drop out players

= 70 - 14

= 56 players

A number is divisible by 5 if the digit in the units or ones place is either 0 or 5. We want all digits to be even, so we throw out 5 as a candidate digit.

We're considering all numbers between 1000 and 9999, of which there are 9000. Numbers in this range can have any of the digits 0-9 in the tens and hundreds place, and any of 1-9 in the thousands place.

We also want all digits to be even, which means we can pull from the numbers {0, 2, 4, 6, 8} in the hundreds and tens places, and {2, 4, 6, 8} in the thousands place.

So there are 4*5*5*1 = 100 numbers in this range that are divisible by 5.

The perimeter of a rectangle is calculated by:

[tex]\boxed{P=width +width+length+ length}[/tex]

Remember: In a rectangle, opposite sides are equals.

If we know how much is the width, then it's just apply it to the expression:

[tex]P=width+width+length+length\\312 =68 + 68 + length + length\\312 = 136+(2\cdot length)\\312 - 136 = 2\cdot length\\2\cdot length = 176\\length = \frac{176}{2} \\length = 88[/tex]

Therefore, the length of the pool is 88m.

Answer:

7

Step-by-step explanation:

The smallest = 1

Then the 2 off = 4

Then 5, then 6 and finally 7

Sides of the rectangle:

4+4+5=13

6+7= 13

7+4=11

5+6=11

7 units are the side length of the largest square.

A square is a regular quadrilateral in Euclidean geometry, which means that it has four equal sides and four equal angles. It can alternatively be explained as a rectangle with two neighboring sides that are of equal length.

Given :

Let x be the side length of the second-smallest square.

Since the following size is square and 2 taller than the "x" square, its side length is (x+2).

This indicates that the bottom is longer (2x+x+2).

This can be used to discover expressions for the rectangle's top, left, and right sides. You can solve for x and consequently both dimensions because the top and bottom are identical in length.

Therefore, 7 units are the side length of the largest square.

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