Hannah had some tants 1/5 of the tarts were pineapple tarts and the rest were coconut tarts She gave 1/2 of the coconut tarts to her uncle and she had 18 coconut tarts left. What was the total number of pineapple and coconut tarts Hannah had at first?​

Answer:

x = 3t/b

Step-by-step explanation:

Step 1: Multiply both sides by 3

t = bx/3

3t = bx

Step 2: Divide both sides by b

3t/b = x

Answer:

area=HbB/2

hope you understand

Answer:

x=3, y=-1

Step-by-step explanation:

We are already given an equation solved for x, making substitution much easier. We know x=4y+7, meaning we can put 4y+7 whenever we see x in the second equation

2x-6y=12

We substitute 4y+7 in place of x

2(4y+7)-6y=12

Now we only have one variable to work on, distribute the 2

8y+14-6y=12

Combine similar terms, 8y-6y=2y

2y+14=12

Subtract 14 from both sides

2y=-2

y=-1

Now we plug in -1 for y in the first equation to find x

x=4(-1)+7

x=-4+7

x=3

The required solution of the given system of equations are x = 3 and y = -1.

The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.

The given system of equations is below as:

x = 4y + 7      ....(i)

2x - 6y = 12   ....(ii)

To solve the equations, use the substitution method.

Substitute the value of equation x = 4y+7 in (ii), and solve for y

2(4y + 7) - 6y = 12

8y + 14 - 6y = 12

8y - 6y = 2y

2y + 14 = 12

Subtract 14 from both sides of the equation

2y = -2

y = -1

Substitute the value of y = -1 in (i), and solve for x

x = 4(-1) + 7

x = -4 + 7

x = 3

Thus, the required solution of the given system of equations are x = 3 and y = -1.

Learn more about the equation here:

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Answer:

(10,9) P=10

Step-by-step explanation:

find the slope first: y2-y1/x2-x1=(3-1)/1-(-2)=2/3

y=2/3x+b

find b:

3=2/3(1)+b

b=3-2/3

b=7/3

now we find P

(p,9) input the y in the equation

y=2/3 x+7/3

9=2/3x+7/3

9-7/3=2/3x

x=10

Answer:

The system of inequalities to represent this situation is [tex]x+y \leq 8[/tex]

Step-by-step explanation:

Let the amount of fruits be x pounds

Let the amount of vegetables be y pounds

We are given that There are at most 8 pounds of fruits and vegetables in the salad.

This means that there are less than or equal to 8 pounds of fruits and vegetables in the salad.

So,[tex]x+y \leq 8[/tex]

Hence the system of inequalities to represent this situation is [tex]x+y \leq 8[/tex]

Answer:

(8, -7)

Step-by-step explanation:

QR, R= (-2, -1)

M= (3, -4)

Q= ?

--------

Q= (8, -7)

Answer:

First drop down: 11 by 20

Second drop down: 110

Third drop down: 110

The new coordinates of the rectangle will be A'(-3, 9), B'(8, 9),C'(8, -11), and D'(-3, -11) .

A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, while a quadrilateral with equal sides is known as a rhombus.

Given, a parallelogram with the dimension of A(-3, -1), B(7, 9), C(8, -1), and D(-2, -11)

The rectangle around the parallelogram will cover the parallelogram with horizontal and vertical lines,

Thus the new coordinates of the rectangle will be:

A'(-3, 9), B'(8, 9),C'(8, -11), and D'(-3, -11) as shown in the figure,

Learn more about parallelograms here:

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Complete question:

Answer:

x = 6 + 3 sqrt(21/5) or x = 6 - 3 sqrt(21/5)

Step-by-step explanation:

Solve for x over the real numbers:

(x - 12) (x + 4 x) = 9

(x - 12) (x + 4 x) = 5 x (x - 12):

5 x (x - 12) = 9

Divide both sides by 5:

x (x - 12) = 9/5

Expand out terms of the left hand side:

x^2 - 12 x = 9/5

Add 36 to both sides:

x^2 - 12 x + 36 = 189/5

Write the left hand side as a square:

(x - 6)^2 = 189/5

Take the square root of both sides:

x - 6 = 3 sqrt(21/5) or x - 6 = -3 sqrt(21/5)

Add 6 to both sides:

x = 6 + 3 sqrt(21/5) or x - 6 = -3 sqrt(21/5)

Add 6 to both sides:

Answer: x = 6 + 3 sqrt(21/5) or x = 6 - 3 sqrt(21/5)

Answer:

(-1,0)

Step-by-step explanation:

Here, our interest lies in finding the coordinates that splits the points (-5,-8) and (2,6) in the ratio 4:3. Let the point that does the splitting be called point P

The section formula is used here and the point we are having would be;

P = (mx2 + nx1)/(m+n) , (my2 + ny1)/(m + n)

From the question;

m = 4 and n = 3

x1 = -5, y1 = -8

x2 = 2 , y2 = 6

Plugging these values in the equation above, we have;

P = [4(2) + 3(-15)](3+4), [4(6) + 3(-8)]/(3+4)

P = (8-15)/7, (24-24)/7

= -7/7, 0/7

= (-1, 0)

The coordinates of point P is (-1,0)

Answer:

mBC = 96°

mB = 55°

mC = 77°

mAB = 154°

Step-by-step explanation:

The angle mB inscribes the arc mAC, so we have:

[tex]mB = mAC / 2[/tex]

[tex]mB = 110 / 2 = 55\°[/tex]

The sum of internal angles of a triangle is 180°, so in the triangle ABC we have:

[tex]mA + mB + mC = 180[/tex]

[tex]48 + 55 + mC = 180[/tex]

[tex]mC = 180 - 48 - 55[/tex]

[tex]mC = 77\°[/tex]

Using again the property of inscribed angles, we have:

[tex]mAB = 2*mC = 154\°[/tex]

[tex]mBC = 2*mA = 96\°[/tex]

Answer:

1st question is 42 students in the class.       2nd question is 41.

Do tell me if I'm wrong please

Step-by-step explanation:

15 + 12 + 9 + 6

   27 + 9 + 6

   27 + 15 = 42

16 + 10 + 3 + 12

  26 + 15

      41

Answer:

2.1 m

Step-by-step explanation:

The gutter is in the shape of a cylinder.

Its volume is 20 liters and its diameter is 11 cm (0.11 m).

Its radius is half of its diameter => r = 0.055 m.

The volume in cubic metres:

1 litre = 0.001 cubic metres

20 litres = 20 * 0.001 = 0.02 cubic metres

The volume of a section of guttering is given as:

[tex]V = \pi r^2h[/tex]

where h = length of the guttering

Therefore:

[tex]0.02 = \pi * 0.055^2 * h\\\\0.02 = 0.009503h\\\\h = 0.02 / 0.009503\\\\h = 2.10 m[/tex]

The length of the section of guttering is 2.1 m long.

Answer:

Step-by-step explanation:

6 and 7

Answer:

The total hours of exercising is 2 hours and 15 minutes.

27 minutes is your total of him playing soccer. i got this by getting the minutes  from the total time, so 135 and I divided it by 5 and got 27 or you could even know that  1/5 of an hour is 12 and multiply that by 12 and 1/5 of 15 is 3 so it equals 27 minutes!

Answer:

28.8 minutes

Step-by-step explanation:

Total hours the student exercised = 2hours 15 minutes. = 2.4 hours.

Given that:

1/5 of this came from soccer, so we must find 1/5 of 2.4:

1/5 x 2.4  = 0.48 hours.

We can write this as minutes = 28.8 minutes.

So, the student plays soccer for 28.8 minutes.

hope this helps.

Good Luck

Please mark brainiest

Answer:

1430p + 2200 = -4001

Step-by-step explanation:

Answer:

z =15cm and

y=9.0cm

Step-by-step explanation:

Use sine rule

12/ sin53 = z / sin 90

Z = 12 x sin 90 / sin 53

Z = 15cm

To find y the angle opposite to y will be 180-(90+53)=37º

So

15/sin 90= y/sin37

y= 15 x sin37 /sin 90

y = 9.0cm

Answer: 3π

I don't see 3π in your answer choices, but I'm assuming the "3x" is supposed to be 3π.

Step-by-step explanation:

To convert from degrees to radians, you multiply by π/180.

[tex]540*\frac{\pi }{180} =3\pi[/tex]

Answer:

The correct answer is:

A coordinate grid with 2 lines. The first line passes through the points (negative 1.5, 0), (0, negative 1), and (3, negative 3). The second line passes through the points (negative 1.5, 0), (0, 1), and (3, 3).

Step-by-step explanation:

We are given the system of equations as:

[tex]1.\ y=-\dfrac{2}{3}x-1\\2.\ y=\dfrac{2}{3}x+1\\[/tex]

We have 2 equations here with variables x and y so we use coordinate grid with 2 lines having axis as x and y.

As per the given options, we can see that coordinate of one point has y = 0 and other point has x = 0.

So, let us put y = 0 and x =0, in both the equations one by one and have a look at the value of x coordinate.

y = 0, Equation (1) becomes:

[tex]0=-\dfrac{2}{3}x-1\\\Rightarrow 1 =-\dfrac{2}{3}x\\\Rightarrow x = - 1.5[/tex]

So, one coordinate is (-1.5, 0)

x = 0, Equation (1) becomes:

[tex]y=-\dfrac{2}{3}\times 0-1\\\Rightarrow y =-1[/tex]

So, other coordinate is (0, -1)

And the point (3, -3) also satisfies the given equation.

y = 0, Equation (2) becomes:

[tex]0=\dfrac{2}{3}x+1\\\Rightarrow 1 =-\dfrac{2}{3}x\\\Rightarrow x = - 1.5[/tex]

So, one coordinate is (-1.5, 0)

x = 0, Equation (2) becomes:

[tex]y=\dfrac{2}{3}\times 0+1\\\Rightarrow y =1[/tex]

So, other coordinate is (0, 1)

And the point (3, 3) also satisfies the given equation.

Please refer to the attached graph and points on lines.

So, correct answer is:

A coordinate grid with 2 lines. The first line passes through the points (negative 1.5, 0), (0, negative 1), and (3, negative 3). The second line passes through the points (negative 1.5, 0), (0, 1), and (3, 3).

Answer:

D

Step-by-step explanation:

trust

Answer:

x=0.450765 or x=−0.950765

Step-by-step explanation:

14x² + 7x - 6

→ Find the product, sum and factors

Product = -6

Sum = 7

Factors = No factors

→ Since there are no factors utilise the quadratic formula

[tex]\frac{-b+-\sqrt{b^{2}-4ac } }{2a}[/tex]

→ List the values of a, b and c

a = 14

b = 7

c= -6

→ Substitute into the formula

[tex]\frac{-7+-\sqrt{7^{2}-4*14*-6} }{2*14}[/tex]

→ Simplify

x=0.450765 or x=−0.950765

Answer:

x=0.950 or -0.450

Step-by-step explanation:

14x^2+7x-6

using quadratic formula

x=-b+√b^2 -4ac/2a or x= -b-√b^2-4ac/2a

where b;7 ,a;14, c;-6

x=-7+√7^2-4(14)(-6)/2(14)

x=7+√49+336/28 or 7-√49+336/28

x=7+√385 /28 or 7-√385/28

x=7+19.621 /28 or 7-19.621 /28

x=26.621/28 or -12.621/28

x=0.950 or -0.450

Answer:

in order to use up all the eggs and cream, the number of quarts of each flavor that should be made is;

Creamy vanilla x = 200 quarts

Continental mocha y = 100 quarts

Step-by-step explanation:

Let x and y represent the number of quarts of Creamy Vanilla and Continental Mocha that should be made in order to use up all the eggs and cream respectively.

For Creamy Vanilla go 2 eggs and 3 cups of cream

For Continental Mocha go 1 egg and 3 cups of cream.

Total number of eggs = 500 eggs

Total number of cream cups = 900 cups.

For the eggs;

2 eggs × x + 1 egg × y = 500

2x + y = 500 .......1

For the cream cups;

3 cups × x + 3 cups × y = 900

3x + 3y = 900

Dividing through by 3

x + y = 300 .......2

Solving the simultaneous equation;

Subtracting equation 2 from 1

(2x + y) - (x+y) = 500-300

2x -x = 200

x = 200

Substituting x = 200 into equation 2;

200 + y = 300

y = 300 - 200

y = 100

Therefore, in order to use up all the eggs and cream, the number of quarts of each flavor that should be made is;

Creamy vanilla x = 200 quarts

Continental mocha y = 100 quarts

Answer:

16 degrees

Step-by-step explanation:

74 + 90 = 164

180-164 = 16

Answer:

90

Step-by-step explanation:

its a right angle

Answer:

Step-by-step explanation:

Circumference of a circle is 2πr

where r is the radius

radius = 5

Circumference of circle P is

2π × 5

Hope this helps you

Answer:

D is the answer

Step-by-step explanation:

because it has high probability of success 70 %

so

⭐Solución de problemas: Cada encomiendo tiene un peso de 2 kilogramos. En fracción esto representa 1/4 de la masa total.

Y

¿por qué? Usted tiene una masa total entre los 4 encomiendos de 8 kilogramos, por lo que en orden

para expresar el peso de cada uno de ellos, tenemos

la siguiente expresión: Masa total de encomiendas (kg)/Número de encomiendas (unidad)Sustituimos:

8 kg/4 s

2 kg por encomiendaOfertamos la fracción que representa cada una en el total:

kg por encomienda/total de kg

2/8 x 1/4

Answer:g(x) = (x + 3)^2

Step-by-step explanation:

It is translated 3 units to the right so it is the only one that makes sense!

<!> Brainliest is appreciated! <!>

Answer:

ANSWER A

Step-by-step explanation:

Answer:

it has a horizontal asymptote at y=O

Step-by-step explanation:

answer is A.

because A linear parent function is the equation y = x or f(x) = x.

If the polynomial in the numerator is a lower degree than the denominator, the x-axis (y = 0) is the horizontal asymptote.

Answer:4.5

Step-by-step explanation:

The answer is 9.8 m/s2

Answer:

B.  9.8 m/s^2

Step-by-step explanation:

I got it correct on edg2020