Mary mixes white paint and blue paint in the ratio 2:3

She makes a total of 20 litres of paint.

How much more blue paint does she need to add to the mixture so that the ratio of white paint to blue paint becomes 1:7?

Answer:

x² - 16 = 0

Also,

|x| = 4

Step-by-step explanation:

(x-4)(x+4) = 0

x² - 16 = 0

|x| = 4

x = 4, -4

The ladder in figure 2 reaches 3.2 feet further up than the ladder in figure 1.

Step-by-step explanation:

Step 1:

In both the given figures, the ladder, the wall and the floor form a right-angled triangle. The floor is the adjacent side, the wall is the opposite side and the ladder is the hypotenuse.

According to the Pythagorean theorem,

[tex]a^{2}+b^{2}=c^{2}[/tex], where c is the length of the hypotenuse while a and b are the lengths of the other two sides.

Step 2:

For the ladder in figure 1, assume the distance from the floor to the ladder's top is x feet. So a = x, b = 8 and c = 10 (hypotenuse).

[tex]a^{2}+b^{2}=c^{2}[/tex], [tex]x^{2}+8^{2}=10^{2}[/tex], [tex]x^{2}=100-64=36, x=\sqrt{36}=6 \text { feet }[/tex].

So the distance between the floor and the ladder's top is 6 feet.

Step 3:

For the ladder in figure 2, assume the distance between the floor and the ladder's top is y feet. So a = y, b = 4 and c = 10 (hypotenuse).

[tex]a^{2}+b^{2}=c^{2}[/tex], [tex]y^{2}+4^{2}=10^{2}[/tex], [tex]y^{2}=100-16=48, x=\sqrt{84}=9.1651 \text { feet }[/tex].

So the distance between the floor and the ladder's top is 9.1651 feet.

Step 4:

The difference in heights = The wall height in figure 2 - the wall height in figure 1.

The difference in heights = 9.1651 feet - 6 feet = 3.1651 feet.

Rounding this off to the nearest tenth of a foot, we get 3.2 feet.

Answer: the answer is 3.2 when rounded

Step-by-step explanation:

if you want the explanation look at the one above

Answer:

it's 5

Step-by-step explanation:

[tex]2 + 3 = 5[/tex]

5

Step-by-step explanation:

2 + 3 = 5

Total of answer is 5

Answer: answer is -16

Step-by-step explanation:

Substitute the values of x and y into the equation to give

(3 + (-5)) (3-(-5))

(3-5) (3+5)

(-2) (8)

-16

The solution to the system of equations are (2, 5).

Solution:

The system of equations are

x + y = 7 – – – – (1)

2x – y = –1 – – – – (2)

To find x from equation (1):

x + y = 7

Subtract y from both sides of the equation, we get

⇒ x + y – y = 7 – y

⇒ x = 7 – y – – – (3)

Substitute (3) in (2) we get,

2(7 – y) – y = –1

14 – 2y – y = –1

14 – 3y = –1

Subtract 14 from both sides,

–3y = –15

Divide by –5 on both sides,

y = 5

Substitute y = 5 in equation (3)

x = 7 – 5

x = 2

The solution to the system of equations are (2, 5).

The solutions to f(x) = 64 is x = 7 and x = –7.

Solution:

Given data:

[tex]$f(x)=x^{2}+15[/tex] – – – – (1)

[tex]f(x)=64[/tex] – – – – (2)

To find the solutions to f(x) = 64.

Equate equation (1) and (2), we get

[tex]x^2+15=64[/tex]

Subtract 15 from both sides of the equation.

[tex]x^2+15-15=64-15[/tex]

[tex]x^2=49[/tex]

[tex]x^2=7^2[/tex]

Taking square root on both sides of the equation, we get

x = ±7

The solutions to f(x) = 64 is x = 7 and x = –7.

Y=X-10

Step-by-step explanation:

Step 1:

Let X be the input and Y be the output variable

Given:  The output is 10 less than the input

Step 2:

Y=X-10 be the require function

Eg:

for X=1, Y = -9

     X=2, Y=-8, etc

Answer:

51

Step-by-step explanation:

tan(z) = 10/8

z = (tan^-1)(1.25)

z = 51.3401917459

Answer:

D) 51

Step-by-step explanation:

Form an equation to find z:

tan(z)=10/8

tan^-1(tan(z))=tan^-1(10/8)

z=51.34

So the correct choice is D

Answer:

C. Supplementary angles

Step-by-step explanation:

Supplementary angles add up to 180 degrees, making a straight line.

Answer:

Adjacent and Supplementary

Step-by-step explanation:

Adjacent: having a common vertex and a common side.

Supplementary: When two angles add up to 180 degrees.

Step-by-step explanation:

The centroid divides the length of each median in 2:1 ratio.

The length of the part between the vertex and the centroid is twice the length between the centroid and the mid-point of the opposite side.

When CD is the median, C is the vertex and D is the midpoint of AE.

CG = 2 × DG

6.5= 2(3x- 11)

6.5 = 6x -22

6x= 6.5+22

6x= 28.5

x= 28.5/6

x= 4.75

optionB

Answer:

(1,1)

Step-by-step explanation:

y > 4x - 5

We try the points in the inequality and see if they are true

(3,0)

0 > 4*3 - 5

0 > 12-5

0>7

False

(3,4)

4 > 4*3 - 5

4 > 12-5

4>7

False

(2,1)

1 > 4*2 - 5

1 > 8-5

0>3

False

(1,1)

1 > 4*1 - 5

0 > 4-5

0>-1

True

Answer:

Parallelograms and Rectangles

Sides: Both have 4

Angles: Both have 4 angles but a rectangle has right angles.

Relationship: A rectangle is a parallelogram but a parallelogram is not a rectangle.

Parallelograms and Squares

Sides: Both have 4

Angles: Both have 4 angles yet a square has 4 right angles

Relationship: A square is a parallelogram however a parallelogram is not a square.

Final answer:

A detailed explanation comparing properties of parallelograms and rectangles, as well as parallelograms and squares based on sides and angles.

Explanation:

Parallelograms and rectangles

Sides: In rectangles, opposite sides are equal, while in parallelograms, opposite sides are equal.

Angles: Rectangles have four right angles, whereas parallelograms do not necessarily have right angles.

Relationship: All rectangles are parallelograms, but not all parallelograms are rectangles.

Parallelograms and squares

Sides: In squares, all sides are equal, while in parallelograms, opposite sides are equal.

Angles: Squares have four right angles, whereas parallelograms do not necessarily have right angles.

Relationship: All squares are parallelograms, but not all parallelograms are squares.

Answer:

3x 5

Step-by-step explanation:

Answer: 96 ordered pair form : (9, 6)

Step-by-step explanation:

x + y = 15

1x + 1y = 15

-1x

y = 15 - 1x (we did this so that it can be the in y=mx format)

3y = 2x (substitute the y for the solution above)

3 ( 15 - 1x ) = 2x

45 - 3x = 2x

+3x +3x

45 = 5x (divide 5 on both sides)

45/5 = 9 ; x = 9

now go back to the first equation and substitute the x for 9

y = 15 - 1(9)

y = 15 - 9

y = 6

hope this helped :)

Answer:

6x - 1

Step-by-step explanation:

Okay this is basically polynomial algebra:

1. Add the value of the lengths already given.

like terms: 3x + x = 4x, -4 + 2 = -2. Now you're left with, 4x - 2.

2. Find the difference between the perimeter and the sum of the lengths.

(10x -3) + (4x + 2) = 6x - 1

Answer:

[tex]y = 2x - 2[/tex]

Step-by-step explanation:

You have not attached the graph.

Assuming the graph function is the one shown in the attachment.

The equation is given by

[tex] \frac{x}{a} + \frac{y}{b} = 1[/tex]

where a=1 is the x-intercept and b=-2 is the y-intercept.

We substitute to get:

[tex] \frac{x}{1} + \frac{y}{ - 2} = 1[/tex]

[tex]2x - y = - 2[/tex]

or

[tex]y = 2x - 2[/tex]

The probability that the card is not yellow is [tex]\frac{5}{9}[/tex]

Solution:

The probability of an event is given as:

[tex]Probability = \frac{ \text{ number of favorable outcomes }}{ \text{ total number of possible outcomes }}[/tex]

From given,

A box is filled with 8 blue cards, 8 yellow cards, and 2 green cards

Total number of possible outcomes = 8 + 8 + 2 = 18

Favorable outcome = card is not yellow

Favorable outcome = card is blue or green = 8 + 2 = 10

Therefore,

[tex]Probability = \frac{10}{18}\\\\Probability = \frac{5}{9}[/tex]

Thus the probability that the card is not yellow is 5/9

The probability that the chosen card is not yellow  =   [tex]\frac{5}{9}[/tex]

Step-by-step explanation:

Step 1 :

Given,

Number of blue cards in the box = 8

Number of yellow cards in the box = 8

Number of green cards in the box = 2

Hence total number of cards =  18

We need to find the probability that the chosen card is not yellow.

Step 2 :

Probability that the selected card is yellow = [tex]\frac{8}{18}[/tex] = [tex]\frac{4}{9}[/tex]  [since the favorable outcome = 8 and total outcome = 18]

Hence the probability of chosen card not being yellow  = 1 -  [tex]\frac{4}{9}[/tex] =  [tex]\frac{5}{9}[/tex]

Step 3 :

Answer :

The probability of chosen card not being yellow  =   [tex]\frac{5}{9}[/tex]

Answer:

tossing two coins once

Step-by-step explanation:

i calculated.oh and my battery's About to die and i need to write the equation so if it cuts something off, it died.Ok so since it goes two ways and has headS And tai

Answer:

-(11 / 2x + 3) + (11x / 2) + 5

Step-by-step explanation:

I hope this helps!

I've attached the picture you need below. 1 3/4 is equal to 1 6/8 as well, so that is why the first one is placed over there.

Answer:

joja90 did it all theres no point explaining anything now lol

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

The probability that the result is a multiple of 2 and a multiple of 3 is 1/9.

A fidget spinner is a toy that consists of a ball bearing in the center of a multi-lobed flat structure made from metal or plastic designed to spin along its axis with pressure.

Here,

Multiples of 3(3,6)

Multiples of 2(2,4,6,8)

Intersection (6)

Favorable outcome: 1

Total outcome: 9

The probability: 1/9

Learn more about Spinner:

https://brainly.com/question/3903294

#SPJ2

The area of the given trapezoid is 60 square inches.

Step-by-step explanation:

Step 1:

The trapezoid's area is calculated by adding the base lengths and multiplying it with the trapezoid's height and [tex]\frac{1}{2} .[/tex]

The trapezoid's area, [tex]A = (sum of the lengths)(\frac{height}{2})[/tex]

Here the sum of the base lengths is given as 15 inches.

Step 2:

In the given problem, the sum of the base lengths is 15 inches and the height of the trapezoid is 8 inches.

The trapezoid's area [tex]A = (15)(\frac{8}{2} )= (15)(4) = 60.[/tex]

So the area of the given trapezoid is 60 square inches.

Answer:

b

Step-by-step explanation:

100 dollars  month

100

plus

100+

0.15 per text

100+15t

For this case we must factor the following expression:

[tex]-x ^ 2 + 2x + 35[/tex]

We take common factor -1, taking into account that [tex]- * - = +:[/tex]

[tex]-1 (x ^ 2-2x-35)[/tex]

We factor the expression within the parenthesis, for this we look for two numbers that, when multiplied, result in -35 and when added, result in -2. These numbers are -7 and +5.

[tex]-7 + 5 = -2\\-7 * 5 = -35[/tex]

Thus, the factored expression is:

[tex]((x-7) (x + 5))[/tex]

Finally we have:

[tex]- (x-7) (x + 5)[/tex]

Answer:

Option C

Answer:

0.8944

Step-by-step explanation:

Use a calculator or table.

Using a z-score table:

P(z < 1.25) = 0.8944

A) S, Q, and B

Hope that help you!

Answer:

S, Q and B

Step-by-step explanation:

Those are the angles.

Solution:

In Ms. Perron’s class, 40% of the students are boys

There are 10 boys in the class

Let "x" be the total number of students in Perron class

From given,

40 % of total students are boys

Therefore,

40 % of x = 10

[tex]\frac{40}{100} \times x = 10\\\\40x = 1000\\\\x = 25[/tex]

Thus total number of students in Ms. Perron’s class is 25

Yo sup??

let the number of pencils and pens be 8x and 14x

x=2

therefore the number of pens and pencils are

16 pencils and 28 pens

Hope this helps

As the actual no. of pencils is double than that of the given ratio it is

C. 16 pens, 28 pencils

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, The ratio of pencils to pens in the drawer is 8 : 14, so for every 14 pencils, there are 8 pens.

Given, there are actually twice as many pencils as in the ratio.

Therefore actual no. of pencils are (2×14) = 28 pencils.

learn more about proportion here :

https://brainly.com/question/7096655

#SPJ2

the 6 is the 6  x's that is in the diagram

Answer:

The 6 is the 6x

Step-by-step explanation:

EQUATION: 25=2+6x, in the diagram there are 7 total boxes, one with a 2 in it, and the other 6 have x's.

Answer:pineapple juice

Step-by-step explanation: