Frank has x grapes.
Gabriel has two fewer grapes than Frank.
Himali has five times as many grapes as Frank.
If Gabriel has 6 grapes how many does Hamali have?

Answer:

£187,500

Step-by-step explanation:

Cost of houses one year ago = £150000

Percent increase a year after = 25%

Increment = 25% * 150000

Increment = 0.25 * 150000

Increment = £37500

New cost of house after increment =  £150000+ £37500

New cost of house after increment = £187,500

Answer:

4/6 of a book in an hour

Step-by-step explanation:

1/6 = 1/4

1/4 x 4/1 = 1

1/6 x 4/1 = 4/6

Bam! UwU

Lol Hope This Helps !

Answer:

The pair of equations is consistent

Step-by-step explanation:

A consistent system of equations has at least one solution

An inconsistent system has no solution

In the system of equations ax + by = c and dx + ey = f, if

∵ x - 2y = 0

∴ The coefficient of x ⇒ a = 1

∴ The coefficient of y ⇒ b = -2

∴ The numerical term ⇒ c = 0

∵ 3x + 4y - 20 = 0

→ Add 20 to both sides

∴ 3x + 4y - 20 + 20 = 0 + 20

∴ 3x + 4y = 20

∵ The coefficient of x ⇒ d = 3

∵ The coefficient of y ⇒ e = 4

∵ The numerical term ⇒ f = 20

∵ a ≠ d

∵ b ≠ e

∵ c ≠ f

∵  [tex]\frac{a}{d}[/tex] = [tex]\frac{1}{3}[/tex]

∵  [tex]\frac{b}{e}[/tex] = [tex]\frac{-2}{4}[/tex] = [tex]\frac{-1}{2}[/tex]

∴ [tex]\frac{a}{d}[/tex] ≠ [tex]\frac{b}{e}[/tex]

→ By using rule 3 above

∴ The pair of equations is consistent

Answer:

aₙ = 75 x 0.2ⁿ⁻¹   or 75 x (1/5)ⁿ⁻¹

Step-by-step explanation:

a₁ = 75

a₂ = 75 x 0.2¹ = 75 x 0.2 ²⁻¹ = 15

a₃ = 75 x 0.2² = 75 x 0.2³⁻¹ = 3

.......

aₙ = 75 x 0.2ⁿ⁻¹   or 75 x (1/5)ⁿ⁻¹

Answer: 268

Step-by-step explanation:

From the question, we are informed that 67 out of 206 species of birds found in the Badlands nest there and that 824 species were found in the Badlands. The number of those that nest there would be:

= 67 × 824/206

= 67 × 4

= 268

Answer:

3 * 10^4

Step-by-step explanation:

Here, we want to make a division

We want to divide 9 * 10^2 by 3 * 10^-2

That would be;

(9 * 10^2)/(3 * 10^-2)

= 9/3 * 10^2-(-2)

= 3 * 10^4

Answer:

20w+8

Step-by-step explanation:

hope it helps..................

Answer:

20w+8

i hope this helps u :)

Answer:

3cm

Step-by-step explanation:

so the long sides are 6cm and the short sides are 3cm

9514 1404 393

Answer:

  0.5f -20.4

Step-by-step explanation:

There is only one term containing a variable (0.5f), but there are three constant terms. The constant terms can be combined by finding their sum in the usual way.

 -2.4 +0.5f -14 -4

  = 0.5f -(2.4 +14 +4)

  = 0.5f -20.4

hello there!

it would be C

because

6/3=2 and 2*5=10 and 7*2=14

hope this helps

have a fantastic day/night

Answer:

36° and 54°

Step-by-step explanation:

Let one of the acute angle be "x"

We are told that the other acute angle is 1.5 times the other angle = 1.5x

The right angle = 90°

Find the value of x:

Therefore:

90 + 1.5x + x = 180 (sum of interior angles of triangle)

Add like terms

90 + 2.5x = 180

2.5x = 180 - 90

2.5x = 90

x = 90/2.5

x = 36° (one acute angle)

✔️Second acute angle = 1.5x

Plug in the value of x

= 1.5(36)

= 54°

Answer: You can drive, at most, 2.95 miles per day.

x ≤ 2.95

Step-by-step explanation:

In a single day, you can spend at most $90

Then if C represents the cost of renting the car, then we will have the inequality:

C ≤ $90

Now let's find the equation for C.

We know that we have a fixed cost of $25 plus $22 per mile, then if you drive x miles, the total cost will be $25 plus x times $22, or:

C = $25 + x*$22.

We can now replace that in the inequality:

$25 + x*$22 ≤ $90

Now let's isolate the variable x

x*$22 ≤ $90 - $25

x*$22 ≤ $65

x ≤ $65/$22 = 2.95

x ≤ 2.95

You can drive at most, 2.95 miles per day.

To find other inequalities with the same solution we can start with the solution:

x ≤ 2.95

Now let's multiply both sides by a number (the units of the number can be dollars, in that way we can make a similar problem)

Let's multiply both sides by $10:

x*$10 ≤ 2.95*$10 = $29.5

x*$10 ≤ $29.5

Now let's add the same number in both sides, for example, $5.

x*$10 + $5 ≤ $29.5 + $5 = $34.5

x*$10 + $5 ≤ $34.5

We could write this problem as:

"To rent a cab in your city, you have an initial cost of $5, plus $10 for each mile driven. How many miles could you drive if at most you can spend $34.50?"

You could be more creative with the problem, but this is the way in which you can craft problems of this type when you already know the solution.

Answer:

Step-by-step explanation:

If Buddy the Elf stands 6'3" tall and looks up at the Empire State Building (1454' high), what is the angle of elevation if Buddy is 206' from the base of the Empire State Building?

We are to find the angle of elevation which is calculated using the Trigonometric function of Tangent.

tan θ = Opposite/Adjacent

Where:

Opposite = 1454'

Adjacent = 206

tan θ = 1454'/206

Answer:

52 cars

Step-by-step explanation:

During the first six months of the year the car dealership sold

53 cars

47 cars

62 cars

56 cars

46 cars

48 cars

Therefore the average number of cars sold per month can be calculated as follows

= 53+47+62+56+46+48/6

= 312/6

= 52

Hence an average of 52 cars is sold monthly

Answer: No

Step-by-step explanation:

$12-$4.50= $7.50

$7.50*15= $112.50

The Total cost is $135 She will only be making $112.50 in profits.

I'm pretty sure it's 28 but sorry if I'm wrong it might be 44

Answer:

D

Step-by-step explanation:

you get 150 by taking the product of 50 and 3, this eliminates answers 'a' and 'b'

since the question states the cost per mile driven is $1.50  and 'x' represents miles driven, D is the answer

Answer:

The similarity postulate that applies is;

C. Similar - AA

Step-by-step explanation:

The given parameters are;

ΔABC with angles ∠BAC = 30°, ∠ABC = 100° and ∠BCA = 50°

ΔDEF with angles ∠EDF = 30°, ∠DEF = 100° and ∠DFE = 50°

Therefore, the interior angles of ΔABC are equal to the corresponding interior angles of ΔDEF, which satisfies the Angle-Angle (AA) condition for similarity of two triangles based on the congruency of two interior angles of one triangle to two interior angles of the other triangle.

Answer:

The profit made is;

b) $285)

Step-by-step explanation:

The given parameters are;

The number of shares bought, n = 50

The price each share is bought, CP = $55

The amount at which each share is sold, SP = $61

The amount the broker received per share, E = $0.30

Therefore, the amount of profit, 'P', is given as follows;

P = n × (SP - CP - E)

By substituting the values for the variables, we have;

P = 50 × (61 - 55 - 0.3) = 285

The amount made as profit, P  = $285.00.

Answer:

There is no solution to the problem.

Step-by-step explanation:

Key skills: Absolute Value, Division, One Variable Equation

1) We have the equation 3|-3x+9|=-18

2) First, divide by 3 on both sides.

-18/3 is -6

3) This means --> |-3x+9| = -6

4) Absolute Value cannot be negative so there is no solution.

Hope you understood and have a nice day!! :D

Answer: C on edge

Step-by-step explanation:

The rectangular form of the parametric equations x = 4cos(t) – 3 and y = 5sin(t) + 2 is shown in the option third, option third is correct.

A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.

The missing options are in the attached picture please refer to the picture.

We have two parametric equations:

x = 4cos(t) – 3 and

y = 5sin(t) + 2

From the options plug x and y values in the equation:

[tex]\rm \dfrac{(x+3)^2}{16}+\dfrac{(y-2)^2}{25}=1\\[/tex]

[tex]\rm \dfrac{(4cos(t)-3+3)^2}{16}+\dfrac{(5sin(t)+2-2)^2}{25}=1\\[/tex]

[tex]\rm \dfrac{(4cos(t))^2}{16}+\dfrac{(5sin(t))^2}{25}=1\\[/tex]

cos²t + sin²t = 1  (true)

Thus, the rectangular form of the parametric equations x = 4cos(t) – 3 and y = 5sin(t) + 2 is shown in the option third, option third is correct.

Learn more about the parametric function here:

brainly.com/question/10271163

#SPJ5

Answer:

12

Step-by-step explanation:

60 x 20% = 12

Answer:

12

Step-by-step explanation:

Answer:

the slope intercept form 3y-2x=9 is y=2/3x+3

Answer:

6

Step-by-step explanation:

Answer:

I think the person with the greatest debt is Marcus cause he has -25 dollars in his bank account.

Step-by-step explanation:

Sara and Maria both have positive numbers as their bank amount.  Samuel have to deposit 10 dollars into his bank account to not be in debt while Marcus has to deposit 25 dollars. 

Step-by-step explanation:

a³,a²,a

first expression

=a×a×a

second expression

=a×a

third expression

=a

HCF=a^4

Answer:

C = 12 + 15(x - 4)

C = 15x - 48

Step-by-step explanation:

Let the number of hours = t

The total amount Miguel earns =

C

To edit a manuscript, Miguel charges 12 dollars per hour for the first 4 hours and 15 dollars per hour after the first 4 hours.

C = 12 + 15(x - 4)

Expand the t

C = 12 + 15x - 60

C = 15x - 48

Therefore, an expression for the amount, in dollars, Miguel charges if it takes him t hours to edit a manuscript, where t>4 is given as:

C = 15x - 48

Answer:

1.

The slope is 2

The y-intercept is -10

equation: y = 2x - 10

2.

Slope: 2.5

y-intercept: 1

Equation: y = 2.4x + 1

Step-by-step explanation:

1.

x      y

2      12

4      16

8      24

10     28

from 12 to 16 you add 4

from 2 to 4 you add 2

y/x = 4/2 = 2

The slope is 2

The y-intercept is -10

equation: y = 2x - 10

I got the y-intercept because I went from 12 to 0 which is -12, and then 2 - 12 and it's -10

__________________________________________________________

2.

x       y

5      4

20   10

30    14

35    16

from 4 to 10, u add 6

from 5 to 20 you add 15

y/x = 15/6 = 2.5

Slope: 2.5

y-intercept: 1

Equation: y = 2.4x + 1

I got the y-intercept because I went from 4 to 0 which is -4, and 5 - 4 is 1.

Hope this helped

Answer:

314 sq.feet

Step-by-step explanation:

r= 10 feet

as you know r= d/2

As pool is circular

Area of circle = πr^2

Area of circle= 3.14*10^2 = 314square feet