Joseph ate 2/5 of a cake while Mary ate 1/4 of the cake. What percent of the cake was left?

Answer:

I think yes but it could be no. Sorry if I am wrong but it should be yes.

Answer:

\( S.A = 135.6 yd^2 \) (

Step-by-step explanation:

Surface area of cone is given as:

Surface Area (S.A) = πr(r + l)

Where,

\( r = radius = 3 yd \)

\( l = slant height = 11.4 yd \)

Take π as 3.14

Plug the given values into the formula to find the surface area.

\( S.A = 3.14*3(3 + 11.4) \)

\( S.A = 9.42(14.4) \)

\( S.A = 135.6 yd^2 \) (rounded to the nearest tenth)

If  Brayden parks t hours, the equation for garage A charges is 11+5t and for garage B is 8+6t .When Garage A is cheaper than Garage B then 11+5t< 8+6t and therefore the number of parking hours must be greater than 3 in order to have garage A cheaper than garage B  or t ∈ (3, ∞)

When in an inequality two expressions in one variable having same variable are compared then it is called inequality in one variable.

It can be solved by adding or subtracting or multiplying or dividing same from both sides, the sign of inequality remains same in all cases except when we divide or multiply  the inequality with a negative  number.

Given Brayden has to decide between two parking garages ,

Let  Brayden parks for t hours

For garage A it is given that there is an initial fee of $11 to park plus $5 per hour.

Total charges that have to paid at  garage A = $11 +t($5) = $(11+5t)

For garage B it is given that there is an initial fee of $8 to park plus $6 per hour.

Total charges that have to paid at  garage A = $8 +t($6) = $(8+6t)

If garage A is to cheaper than garage B

11+5t < 8 +6t

Subtract 5t from both sides , the inequality will remain same

11+5t-5t < 8+6t-5t

11 < 8+t

Subtract 8 from both sides , the inequality will remain same

then 11-8 <8+t-8

3 < t or t ∈ (3, ∞)

Therefore, the number of parking hours must be greater than 3 in order to have garage A cheaper than garage B .

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Answer:

steps below

Step-by-step explanation:

(2n+5)²-(11-4n)² = (4n²+20n+25) - (121-88n+16n²)

= -12n²+108n-96

= 12(-n²+9n-8) .... multiple of 12

Answer: Option A:

To calculate the total amount Owen will spend on Option A, we need to calculate the monthly payment and then multiply it by the number of months:

First, we need to calculate the total amount of the loan. Owen is making a down payment of $3200, so he will be borrowing $28,820 (the price of the car minus the down payment).

Next, we can use the formula for calculating the monthly payment for a loan:

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

where P is the monthly payment, r is the monthly interest rate, A is the total amount of the loan, and n is the number of months.

For Option A, the monthly interest rate is 1.3% / 12 = 0.01083, the total amount of the loan is $28,820, and the number of months is 36. Plugging these values into the formula, we get:

P = (0.01083 * 28,820) / (1 - (1 + 0.01083)^(-36)) = $860.45

Therefore, the total amount Owen will spend on Option A is:

36 * $860.45 = $30,975.98

Option B:

For Option B, we need to take into account the $1500 cash back that Owen will receive as part of the down payment. This means that the total amount of the loan will be $32,020 - $3200 - $1500 = $27,320.

To calculate the monthly payment, we can use the same formula as before:

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

For Option B, the monthly interest rate is 5.2% / 12 = 0.04333, the total amount of the loan is $27,320, and the number of months is 36. Plugging these values into the formula, we get:

P = (0.04333 * 27,320) / (1 - (1 + 0.04333)^(-36)) = $825.53

Therefore, the total amount Owen will spend on Option B is:

36 * $825.53 + $1500 = $30,316.08

Therefore, Option A will cost Owen a total of $30,975.98, and Option B will cost him a total of $30,316.08. Therefore, Option B is the cheaper option for Owen.

Step-by-step explanation:

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

The number of students who offered Accountancy only is 10.

Let's represent the number of students who offered Mathematics as M, the number of students who offered Accountancy as A, and the number of students who offered Economics as E.

From the given information:

M = 30 (Number of students who offered Mathematics)

A = 20 (Number of students who offered Accountancy)

E = 40 (Number of students who offered Economics)

We are also given the following conditions:

M ∩ A > A ∩ E by 2

M ∩ E = 0

We know that the total number of students is 80, so:

M + A + E = 80

Now, let's solve for the number of students who offered Accountancy only.

We can start by substituting the given values into the equation:

30 + 20 + 40 = 80

Now, we need to find the value of A ∩ E (Number of students who offered both Accountancy and Economics).

Since none offered both Mathematics and Economics, we can subtract M from A:

A - M = A ∩ E

20 - 30 = A ∩ E

-10 = A ∩ E

Since A ∩ E cannot be a negative number, we know that A ∩ E = 0.

Now, let's use the first condition: M ∩ A > A ∩ E by 2.

Substituting the values, we have:

M ∩ A - A ∩ E = 2

M ∩ A - 0 = 2

M ∩ A = 2

Now, we can substitute the values of M ∩ A and M into the equation M + A + E = 80:

30 + A + 40 = 80

A + 70 = 80

A = 10

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i believe the equation is -3x+4≤x-8

the answer would be x≥3

Answer: 75.75°

Step-by-step explanation:

Sine is the opposite of the angle divided by the hypotenuse. The opposite side of the angle is 12.6 and the hypotenuse is 13.

sin(Ф) = 12.6/13

Take the inverse sine of both sides, this requires a calculator.

Ф = 75.75°

Answer:

I/5 because it's itself split into 1 group

Answer:

its still 1/5

Step-by-step explanation:

You are dividing it by the amount of times it goes into itself so the answer is 1/5

Answer:

7 + 2 = 9, so AC = 7/9 and CD = 2/9

1 + 2 = 3, so AB = 1/3 = 3/9 and

BD = 2/3 = 6/9

AB + BC = AC

3/9 + BC = 7/9, so BC = 4/9

AB:BC:CD = (3/9):(4/9):(2/9) = 3:4:2

Answer:

The Answer is 120

Step-by-step explanation:

The answer is 120 because 5*24 is 120

Answer:

z = -3/2 , z = -1/2

Step-by-step explanation:

Given:

7z² + 8z + 3 = 3z²

Find:

Values of z

Computation:

7z² + 8z + 3 = 3z²

7z² + 8z + 3 - 3z² = 0

4z²+ 8z + 3 = 0

4z²+ (6+2)z + 3 = 0

4z²+ 6z + 2z + 3 = 0

2z(2z + 3) + 1(2z + 3) = 0

(2z + 3)(2z + 1) = 0

So,

z = -3/2 , z = -1/2

Look at the graph thoroughly .

It passes through origin and given some points

(-1,1)

(1,-1)

(2,-2)

(-2,2)

We observe that

\(\\ \sf\longmapsto f(x)=-x\)

Hence whatever the function be the result will be -x

Option D is correct

Answer:

Um, I feel like I don't have enough info to solve this

Step-by-step explanation:

Answer:

10 root 2

Step-by-step explanation:

root 200 = root 2 × root 100 = 10 root 2

Answer:

Scalene

Step-by-step explanation:

a scalene triangle has three sides different angles none of its sides are equal in length

Answer:

A scalene triangle or quadrilateral has no equal sides.

Answer:

I think false

Step-by-step explanation:

Answer:

6(8-5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

6(-6x8-5)

Answer:

the 5 gallon

67.45 ÷ 5= $13.49

From the resulting solution, the correct linear inequality graph is Graph C.

Given the inequality equation below:

2(2x-1)+7< 13 or -2x+5 ≤ -10.​

Simplify the expression

2(2x-1)+7< 13

Expand

4x - 2 + 7 < 13

4x + 5 < 13

4x < 13 - 5

4x < 8

x < 2

For the inequality -2x+5 ≤ -10.

-2x+5 ≤ -10

-2x  ≤ -15

x  ≥ 7.5

Hence the solution to the given system of inequalities are x < 2 and x  ≥ 7.5

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Answer:

My guess would be D

Step-by-step explanation:

Answer:

It's called the diameter of the circle

Step-by-step explanation:

6.

the sum of all internal angles in a polygon is

(n-2)×180

n is the number of sides of internal angles.

now, that means that one internal angle of a regular polygon is

(n-2)×180/n

and we know that is 170°.

so,

170 = (n-2)×180/n

170n = 180n - 360

-10n = -360

10n = 360

n = 36

the polygon has 36 sides.

7.

a. is a rectangle or a square, as the fact that all 4 segments of the diagonals are equally long solid to both. after all, a square is just a special rectangle.

but given the picture that suggests different Legrand and widths it is a rectangle.

b.

parallelogram.

the 2 lengths are equal, and the 2 widths are equal. and therefore, both lengths are parallel and both widths are parallel.

but the angles are not 90°. so, it is not a rectangle, but still a parallelogram.

c.

isoceles trapezoid.

top and bottom sides are parallel, but if different size.

the left and right sides are equally long and inclined inwards.

8.

as explained in 7. : the 2 lengths are equal and parallel, and the 2 widths are equal and parallel.

also the diagonals intercept each other at their midpoints. so, both segments of a diagonal are equal.

the sum of all angles is still 360°, and the opposing angles are equal, while every pair of neighboring angles are together 180°.

and - the sum of all angles in a triangle is always 180°.

a. AD = BC = 7

b. DC = AB = 16

c. AC = 2×EC = 2×7 = 14

d. EB = ED = 10.2

angle DAB = angle BCD = 120°

angle ADC = angle ABC = 43 + x

e.

180 = 120 + 43 + x

60 = 43 + x

17° = x

so,

angle ABC = angle ADC = 43 + 17 = 60°

f. angle CDB = x = 17°

g. angle CBD = angle ADB = 43°.

because

180 = CDB + BCD + CBD

180 = 17 + 120 + CBD

43° = angle CBD

h. angle BCD = angle DAB = 120°.

Answer:

Question 6:

Question 7:

Question 8:

Step-by-step explanation:

The formula for calculating the interior angle of a regular polygon is:

\(\text{Interior angle}=\dfrac{(n - 2) \times 180^\circ}{n}\)

where n is the number of sides of the regular polygon.

To calculate the number of sides a regular polygon has if its interior angle is 170°, substitute this angle into the formula and solve for n.

\(\implies 170^{\circ}=\dfrac{(n - 2) \times 180^{\circ}}{n}\)

\(\implies 170n=180(n - 2)\)

\(\implies 170n=180n-360\)

\(\implies -10n=-360\)

\(\implies n=36\)

Therefore, a regular polygon with an interior angle of 170° has 36 sides.

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Congruent lines are shown by placing the same number of tick marks on each congruent line segment.

Parallel lines are shown by placing the same number of arrows on each parallel line.

Shape a is a rectangle because the diagonals bisect each other and the length of the diagonals is equal, indicated by the tick marks.

Shape b is a parallelogram because it has two pairs of parallel opposite sides.

Shape c is an isosceles trapezoid because one pair of sides is parallel and the remaining sides are non-parallel and equal in length.

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A parallelogram has opposite sides that are of equal length. Therefore:

The diagonals of a parallelogram bisect each other. Therefore:

Therefore, AC = AE + EC = 7 + 7 = 14

Same-side interior angles sum to 180°. Therefore:

⇒ m∠DAB + m∠ABC = 180°

⇒ 120° + m∠ABC = 180°

⇒ m∠ABC = 60°

The opposite angles of a parallelogram are equal. Therefore:

As m∠ADC = 60° and m∠ADE = 43° then:

According to the alternate interior angles theorem:

Answer:

0.75757575757

Step-by-step explanation:

Answer:

5/2 or 2.5

Step-by-step explanation:

Divide both sides by 2.